
Time bar (total: 9.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 31.3% | 31.2% | 68.6% | 0.1% | 0% | 0% | 0% | 5 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 6 |
| 53.1% | 53% | 46.8% | 0.1% | 0% | 0% | 0% | 7 |
| 59.4% | 59.3% | 40.6% | 0.1% | 0% | 0% | 0% | 8 |
| 68% | 67.9% | 32% | 0.1% | 0% | 0% | 0% | 9 |
| 73.6% | 73.5% | 26.3% | 0.1% | 0% | 0% | 0% | 10 |
| 78.2% | 78.1% | 21.7% | 0.1% | 0% | 0% | 0% | 11 |
| 83.3% | 83.1% | 16.7% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 14 to 12 computations (14.3% saved)
| 1.1s | 8 256× | 0 | valid |
const: 281.0ms (33.5% of total)ival-mult: 240.0ms (28.6% of total)ival-exp: 176.0ms (21% of total)ival-div: 58.0ms (6.9% of total)ival-add: 38.0ms (4.5% of total)ival-sub: 36.0ms (4.3% of total)ival-true: 7.0ms (0.8% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 27 | 0 | - | 1 | (4.090217317455413e-211 -3.370417199736575e-104 -4.181593437527501e+74) | (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) |
| 3 | 0 | - | 0 | - | (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) |
| 0 | 0 | - | 0 | - | #s(literal 5641895835477563/5000000000000000 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (exp.f64 z) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) | n/u | 7 | 0 |
| ↳ | (exp.f64 z) | underflow | 72 | |
| ↳ | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) | underflow | 72 | |
| ↳ | (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) | underflow | 7 | |
| ↳ | (*.f64 x y) | underflow | 26 | |
-.f64 | (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) | nan-rescue | 3 | 0 |
| ↳ | (exp.f64 z) | overflow | 64 | |
| ↳ | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) | overflow | 64 | |
| ↳ | (*.f64 x y) | overflow | 25 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 10 | 1 |
| - | 0 | 245 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 10 | 0 | 1 |
| - | 0 | 0 | 245 |
| number | freq |
|---|---|
| 0 | 246 |
| 1 | 10 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 69.0ms | 512× | 0 | valid |
Compiled 102 to 34 computations (66.7% saved)
const: 8.0ms (29.3% of total)ival-mult: 7.0ms (25.6% of total)ival-exp: 4.0ms (14.6% of total)ival-div: 3.0ms (11% of total)ival-sub: 2.0ms (7.3% of total)ival-add: 2.0ms (7.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 115 |
| 1 | 95 | 113 |
| 2 | 197 | 113 |
| 3 | 534 | 111 |
| 4 | 1734 | 111 |
| 0 | 10 | 12 |
| 0 | 16 | 12 |
| 1 | 25 | 12 |
| 2 | 48 | 12 |
| 3 | 122 | 12 |
| 4 | 381 | 12 |
| 5 | 2561 | 12 |
| 6 | 7276 | 12 |
| 0 | 8078 | 12 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| Outputs |
|---|
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
(+.f64 (/.f64 y (neg.f64 (fma.f64 y x (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z))))) x) |
Compiled 12 to 10 computations (16.7% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.0% | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
Compiled 12 to 10 computations (16.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) | |
| cost-diff | 0 | (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) | |
| cost-diff | 0 | (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) | |
| cost-diff | 0 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 43 |
| 0 | 16 | 43 |
| 1 | 25 | 43 |
| 2 | 48 | 43 |
| 3 | 122 | 43 |
| 4 | 381 | 43 |
| 5 | 2561 | 43 |
| 6 | 7276 | 43 |
| 0 | 8078 | 43 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
x |
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) |
y |
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) |
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
#s(literal 5641895835477563/5000000000000000 binary64) |
(exp.f64 z) |
z |
(*.f64 x y) |
| Outputs |
|---|
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
(+.f64 (/.f64 y (neg.f64 (fma.f64 y x (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z))))) x) |
x |
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) |
(/.f64 y (neg.f64 (fma.f64 y x (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z))))) |
y |
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) |
(neg.f64 (fma.f64 y x (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z)))) |
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(literal 5641895835477563/5000000000000000 binary64) |
(exp.f64 z) |
z |
(*.f64 x y) |
(*.f64 y x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (exp.f64 z) | |
| accuracy | 0.01171875 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) | |
| accuracy | 0.6015625000000001 | (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) | |
| accuracy | 6.34149973257644 | (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) |
| 54.0ms | 256× | 0 | valid |
Compiled 45 to 12 computations (73.3% saved)
ival-sub: 20.0ms (43.9% of total)const: 17.0ms (37.3% of total)ival-mult: 3.0ms (6.6% of total)ival-div: 2.0ms (4.4% of total)ival-exp: 2.0ms (4.4% of total)ival-add: 1.0ms (2.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) |
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) |
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
(exp.f64 z) |
| Outputs |
|---|
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(* 5641895835477563/5000000000000000 (exp z)) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))))) |
(/ -1 x) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x) |
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x) |
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x) |
(* -1 (* x y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))) |
(+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))) |
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))) |
(* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))) |
(* y (+ (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* (pow x 3) y) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow x 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))) |
(- x (/ 1 x)) |
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x)) |
(- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))) |
(- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x)))) |
(- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)) |
(- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))) |
(- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x)))) |
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x)) |
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x)) |
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x)) |
(- (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x)) |
(- (* -1 (/ (- (* -1 (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x)) |
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x)))) |
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(/ y (- 5641895835477563/5000000000000000 (* x y))) |
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(- 5641895835477563/5000000000000000 (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y)) |
5641895835477563/5000000000000000 |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
1 |
(+ 1 z) |
(+ 1 (* z (+ 1 (* 1/2 z)))) |
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(exp z) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | ((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (exp z)) |
| 2.0ms | x | @ | 0 | ((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (exp z)) |
| 2.0ms | z | @ | inf | ((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (exp z)) |
| 1.0ms | z | @ | 0 | ((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (exp z)) |
| 1.0ms | x | @ | inf | ((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (exp z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 316 | 1526 |
| 1 | 943 | 1497 |
| 2 | 3242 | 1422 |
| 0 | 8202 | 1347 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(* 5641895835477563/5000000000000000 (exp z)) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))))) |
(/ -1 x) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x) |
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x) |
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x) |
(* -1 (* x y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))) |
(+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))) |
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))) |
(* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))) |
(* y (+ (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* (pow x 3) y) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow x 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))) |
(- x (/ 1 x)) |
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x)) |
(- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))) |
(- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x)))) |
(- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)) |
(- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))) |
(- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x)))) |
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x)) |
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x)) |
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x)) |
(- (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x)) |
(- (* -1 (/ (- (* -1 (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x)) |
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x)))) |
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(/ y (- 5641895835477563/5000000000000000 (* x y))) |
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(- 5641895835477563/5000000000000000 (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y)) |
5641895835477563/5000000000000000 |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
1 |
(+ 1 z) |
(+ 1 (* z (+ 1 (* 1/2 z)))) |
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(exp z) |
| Outputs |
|---|
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+.f64 x (/.f64 (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y (/.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 z))) (exp.f64 z))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y (*.f64 (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y (/.f64 y (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) x) (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)) #s(literal 1 binary64))) x)) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y (*.f64 (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y (/.f64 y (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64)) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) x #s(literal 1 binary64))) x)) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(/.f64 (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y (/.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 z))) (exp.f64 z)) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y (*.f64 (/.f64 (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y) (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) (exp.f64 z))) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) x)) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y (*.f64 (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y (/.f64 y (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) (*.f64 (fma.f64 (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64)) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) x)) x)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(fma.f64 (neg.f64 y) x (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (exp.f64 z) x) #s(literal 1 binary64)) (*.f64 x x))) x) |
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) y) y) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (exp.f64 z) x) #s(literal 1 binary64)) (*.f64 x x))) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) (/.f64 (exp.f64 z) y)) #s(literal 1 binary64)) x) |
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(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) y) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 4 binary64)))) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal -5641895835477563/30000000000000000 binary64)))) (neg.f64 (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal -5641895835477563/10000000000000000 binary64))))) z (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(- 5641895835477563/5000000000000000 (* x y)) |
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) |
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y)) |
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y)) |
(fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
5641895835477563/5000000000000000 |
#s(literal 5641895835477563/5000000000000000 binary64) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) |
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) |
(fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 z) |
(+.f64 #s(literal 1 binary64) z) |
(+ 1 (* z (+ 1 (* 1/2 z)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(+.f64 (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) x) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/.f64 y (fma.f64 (neg.f64 y) x (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(fma.f64 (neg.f64 y) x (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) |
(exp z) |
(exp.f64 z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 0 | 16 | 36 |
| 1 | 53 | 36 |
| 2 | 384 | 36 |
| 3 | 4913 | 36 |
| 0 | 9519 | 33 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) |
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) |
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
(exp.f64 z) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) (*.f64 x x)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))) (-.f64 (*.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) #s(literal 2 binary64)) (neg.f64 (-.f64 (pow.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) (*.f64 x x)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) #s(literal 2 binary64))) (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x)) |
(*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) (*.f64 x x))) |
(*.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (/.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x))) |
(*.f64 (fma.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) (*.f64 x x)) (/.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (fma.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64)) (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x)) #s(literal 2 binary64))) (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) (*.f64 x x))) #s(literal 2 binary64))) (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64)) (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64)) (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x)) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x))) (/.f64 (pow.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64)) (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) (*.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) (*.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) (*.f64 x x))))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) #s(literal 2 binary64)))) (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) (*.f64 x x))))) |
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(fma.f64 (fabs.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z))) (/.f64 (fabs.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z))) (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(fma.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (fma.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 y x)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 y x))))) |
(fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) (fma.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 y x)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 y x))))) |
(fma.f64 (neg.f64 x) (neg.f64 y) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z))) |
(fma.f64 (neg.f64 x) y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 (pow.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 y x)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 y x))))) |
(fma.f64 (neg.f64 y) (neg.f64 x) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z))) |
(fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 (cosh.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (*.f64 (sinh.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x))) |
(fma.f64 (cosh.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 (sinh.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) |
(fma.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 (pow.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 y x)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 y x))))) |
(fma.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(fma.f64 (exp.f64 z) (exp.f64 (log.f64 #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 (neg.f64 x) y)) |
(fma.f64 (exp.f64 z) (/.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 z)) (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) |
(fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y)) |
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 (exp.f64 z)) (*.f64 y x)) |
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (cosh.f64 z) (-.f64 (*.f64 (sinh.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x))) |
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (cosh.f64 z) (fma.f64 (sinh.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) |
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 (neg.f64 x) y)) |
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 y x (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z))) |
(fma.f64 x (exp.f64 (log.f64 y)) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z))) |
(fma.f64 x (neg.f64 y) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 x y (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64)) (neg.f64 (fma.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 y x))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 y x))))) |
(-.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 y x)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 y x))))) |
(-.f64 (*.f64 (neg.f64 x) y) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z))) |
(-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x)) |
(+.f64 (fma.f64 (neg.f64 x) y (*.f64 (cosh.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 (sinh.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(+.f64 (neg.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z))) (*.f64 (neg.f64 x) y)) |
(+.f64 (*.f64 (cosh.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 (*.f64 (sinh.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x))) |
(+.f64 (*.f64 (cosh.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 (sinh.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) |
(+.f64 (*.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 y x)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 y x))))) |
(+.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x)) |
(+.f64 (*.f64 (neg.f64 x) y) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(+.f64 (*.f64 y x) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z))) |
(+.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 (neg.f64 x) y)) |
(*.f64 (exp.f64 (log.f64 #s(literal 5641895835477563/5000000000000000 binary64))) (exp.f64 z)) |
(*.f64 (exp.f64 z) (exp.f64 (log.f64 #s(literal 5641895835477563/5000000000000000 binary64)))) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
(pow.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 z) #s(literal 3 binary64)) (pow.f64 (cosh.f64 z) #s(literal 3 binary64))) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 (cosh.f64 (+.f64 z z)) (*.f64 (sinh.f64 z) (cosh.f64 z)))) |
(/.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (+.f64 (pow.f64 (sinh.f64 z) #s(literal 3 binary64)) (pow.f64 (cosh.f64 z) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 z z)) (*.f64 (sinh.f64 z) (cosh.f64 z)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (cosh.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 (sinh.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (cosh.f64 z) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 (pow.f64 (sinh.f64 z) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (+.f64 (pow.f64 (*.f64 (cosh.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sinh.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 (sinh.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 (neg.f64 z))) |
(fma.f64 (sinh.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (cosh.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 (cosh.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (sinh.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (sinh.f64 z) (*.f64 (cosh.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (cosh.f64 z) (*.f64 (sinh.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(-.f64 (*.f64 (cosh.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 (sinh.f64 (neg.f64 z)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(-.f64 (*.f64 (cosh.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (sinh.f64 z))) |
(exp.f64 (*.f64 (+.f64 (log.f64 #s(literal 5641895835477563/5000000000000000 binary64)) z) #s(literal 1 binary64))) |
(exp.f64 (+.f64 (log.f64 #s(literal 5641895835477563/5000000000000000 binary64)) z)) |
(+.f64 (cosh.f64 (+.f64 (log.f64 #s(literal 5641895835477563/5000000000000000 binary64)) z)) (sinh.f64 (+.f64 (log.f64 #s(literal 5641895835477563/5000000000000000 binary64)) z))) |
(+.f64 (*.f64 (sinh.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 (cosh.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(+.f64 (*.f64 (cosh.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 (sinh.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(pow.f64 (exp.f64 (neg.f64 z)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (sinh.f64 z) #s(literal 2 binary64)) (pow.f64 (cosh.f64 z) #s(literal 2 binary64))) (-.f64 (sinh.f64 z) (cosh.f64 z))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 z) (*.f64 #s(literal 2 binary64) (cosh.f64 z))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 z) (*.f64 #s(literal 2 binary64) (sinh.f64 z))) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 z)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 z) #s(literal 3 binary64)) (pow.f64 (cosh.f64 z) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (+.f64 z z)) (*.f64 (sinh.f64 z) (cosh.f64 z))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 z)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 z)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 z)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 z)))) #s(literal 4 binary64)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 z))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 z) #s(literal 3 binary64)) (pow.f64 (cosh.f64 z) #s(literal 3 binary64))) (fma.f64 (sinh.f64 z) (sinh.f64 z) (-.f64 (pow.f64 (cosh.f64 z) #s(literal 2 binary64)) (*.f64 (sinh.f64 z) (cosh.f64 z))))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 z) #s(literal 3 binary64)) (pow.f64 (cosh.f64 z) #s(literal 3 binary64))) (-.f64 (cosh.f64 (+.f64 z z)) (*.f64 (sinh.f64 z) (cosh.f64 z)))) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 z) #s(literal 2 binary64)) (exp.f64 (neg.f64 z))) (/.f64 (pow.f64 (sinh.f64 z) #s(literal 2 binary64)) (exp.f64 (neg.f64 z)))) |
(-.f64 (cosh.f64 z) (sinh.f64 (neg.f64 z))) |
(exp.f64 (neg.f64 (neg.f64 z))) |
(exp.f64 z) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 z) #s(literal 3 binary64)) (-.f64 (cosh.f64 (+.f64 z z)) (*.f64 (sinh.f64 z) (cosh.f64 z)))) (/.f64 (pow.f64 (sinh.f64 z) #s(literal 3 binary64)) (-.f64 (cosh.f64 (+.f64 z z)) (*.f64 (sinh.f64 z) (cosh.f64 z))))) |
(+.f64 (sinh.f64 z) (cosh.f64 z)) |
(+.f64 (cosh.f64 z) (sinh.f64 (neg.f64 (neg.f64 z)))) |
(+.f64 (cosh.f64 z) (sinh.f64 z)) |
Compiled 10 635 to 1 272 computations (88% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 281 | 11 | 292 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 282 | 11 | 293 |
| Status | Accuracy | Program |
|---|---|---|
| 41.8% | (fma.f64 (/.f64 y (fma.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (exp.f64 z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 y x)))) x) | |
| 84.4% | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))) | |
| ▶ | 84.4% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
| ▶ | 83.8% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
| 82.7% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) | |
| ▶ | 82.4% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
| 64.9% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) | |
| ▶ | 71.1% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
| ▶ | 67.6% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
| 63.4% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x)) | |
| 15.5% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) |
Compiled 468 to 340 computations (27.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) | |
| cost-diff | 0 | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) | |
| cost-diff | 1 | (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) | |
| cost-diff | 1 | (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) | |
| cost-diff | 0 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) | |
| cost-diff | 0 | (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) | |
| cost-diff | 0 | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) | |
| cost-diff | 0 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) | |
| cost-diff | 0 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)) | |
| cost-diff | 0 | (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) | |
| cost-diff | 0 | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 0 | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) | |
| cost-diff | 0 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) | |
| cost-diff | 0 | (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) | |
| cost-diff | 0 | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 402 |
| 0 | 73 | 402 |
| 1 | 112 | 402 |
| 2 | 219 | 402 |
| 3 | 558 | 402 |
| 4 | 1560 | 402 |
| 5 | 4987 | 402 |
| 0 | 8132 | 393 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
x |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
y |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) |
#s(literal 5641895835477563/30000000000000000 binary64) |
z |
#s(literal 5641895835477563/10000000000000000 binary64) |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 x y) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
x |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
x |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) |
y |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 x y) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
x |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
y |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(literal 5641895835477563/10000000000000000 binary64) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 x y) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
x |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) |
(/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) |
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) |
#s(literal -5641895835477563/5000000000000000 binary64) |
z |
y |
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 y x) |
| Outputs |
|---|
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) x) |
x |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
(/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) |
y |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
(fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) |
#s(literal 5641895835477563/30000000000000000 binary64) |
z |
#s(literal 5641895835477563/10000000000000000 binary64) |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 x y) |
(*.f64 y x) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) |
x |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
(+.f64 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x) |
x |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) |
(/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
y |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)) |
(fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 x y) |
(*.f64 y x) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) x) |
x |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
(/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) |
y |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
(fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(literal 5641895835477563/10000000000000000 binary64) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 x y) |
(*.f64 y x) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
(+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (*.f64 (fma.f64 (/.f64 z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) x) |
x |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (*.f64 (fma.f64 (/.f64 z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(*.f64 (fma.f64 (/.f64 z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) |
(*.f64 (fma.f64 (/.f64 z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(*.f64 (/.f64 z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) |
(*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) |
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) |
#s(literal -5641895835477563/5000000000000000 binary64) |
z |
y |
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 y x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.25 | (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) | |
| accuracy | 6.320447910422977 | (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) | |
| accuracy | 6.890043402898968 | (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) | |
| accuracy | 29.44244178814141 | #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) | |
| accuracy | 0.13671875 | (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) | |
| accuracy | 0.6015625000000001 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) | |
| accuracy | 6.34149973257644 | (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) | |
| accuracy | 26.38231510181363 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 0.6015625000000001 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)) | |
| accuracy | 6.34149973257644 | (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) | |
| accuracy | 34.293159464117906 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) | |
| accuracy | 0.0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.0 | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) | |
| accuracy | 32.00941657109631 | #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0.06640625 | (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) | |
| accuracy | 0.6015625000000001 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) | |
| accuracy | 6.34149973257644 | (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) | |
| accuracy | 23.988799732135362 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) |
| 87.0ms | 256× | 0 | valid |
Compiled 281 to 34 computations (87.9% saved)
const: 17.0ms (31% of total)ival-mult: 15.0ms (27.3% of total)ival-add: 8.0ms (14.6% of total)ival-div: 7.0ms (12.7% of total)ival-sub: 6.0ms (10.9% of total)ival-exp: 2.0ms (3.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) |
(/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) |
(*.f64 x y) |
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) |
| Outputs |
|---|
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(* 5641895835477563/5000000000000000 (exp z)) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(/ -1 x) |
(+ y (* -1 (* y z))) |
(+ y (+ (* -1 (* y z)) (* -5000000000000000/5641895835477563 (* x (* (pow y 2) z))))) |
(+ y (+ (* -1 (* y z)) (* x (+ (* -5000000000000000/5641895835477563 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (* (pow y 3) z))))))) |
(+ y (+ (* -1 (* y z)) (* x (+ (* -5000000000000000/5641895835477563 (* (pow y 2) z)) (* x (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 3) z)) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (* (pow y 4) z))))))))) |
(* -1 (* y z)) |
(+ (* -1 (* y z)) (* -5000000000000000/5641895835477563 (* x (* (pow y 2) z)))) |
(+ (* -1 (* y z)) (* x (+ (* -5000000000000000/5641895835477563 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (* (pow y 3) z)))))) |
(+ (* -1 (* y z)) (* x (+ (* -5000000000000000/5641895835477563 (* (pow y 2) z)) (* x (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 3) z)) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (* (pow y 4) z)))))))) |
(* x y) |
(* 5000000000000000/5641895835477563 (+ y (* -1 (* y z)))) |
(+ (* 5000000000000000/5641895835477563 (+ y (* -1 (* y z)))) (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z)))))))) |
(+ (* 5000000000000000/5641895835477563 (+ y (* -1 (* y z)))) (* x (- (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* x (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow y 3) z)) (* -5000000000000000/5641895835477563 (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z))))))))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z)))))))) |
(+ (* 5000000000000000/5641895835477563 (+ y (* -1 (* y z)))) (* x (- (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* x (- (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow y 3) z)) (* x (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 4) z)) (* -5000000000000000/5641895835477563 (* y (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow y 3) z)) (* -5000000000000000/5641895835477563 (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z)))))))))))))) (* -5000000000000000/5641895835477563 (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z))))))))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z)))))))) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))))) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x) |
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x) |
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x) |
(* -1 (* x y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
y |
(+ y (* 5641895835477563/5000000000000000 (/ z x))) |
(+ y (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) y))))) |
(+ y (+ (* 5641895835477563/5000000000000000 (/ z x)) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) y))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* (pow x 3) (pow y 2))))))) |
(* 5641895835477563/5000000000000000 (/ z x)) |
(/ (+ (* 5641895835477563/5000000000000000 z) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* x y)))) x) |
(/ (+ (* 5641895835477563/5000000000000000 z) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* x y))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* (pow x 2) (pow y 2)))))) x) |
(/ (+ (* 5641895835477563/5000000000000000 z) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* x y))) (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* (pow x 2) (pow y 2)))) (* 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (/ z (* (pow x 3) (pow y 3))))))) x) |
(/ (- (* -5641895835477563/5000000000000000 (/ z (* x y))) (+ 1 (/ 5641895835477563/5000000000000000 (* x y)))) x) |
(/ (- (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ z (* x y)))) (+ 1 (+ (* -5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) (* (pow x 2) y))) (/ 5641895835477563/5000000000000000 (* x y))))) x) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 46.0ms | y | @ | 0 | ((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ -1 x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (* x y) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (* -5641895835477563/5000000000000000 z)) |
| 6.0ms | z | @ | inf | ((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ -1 x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (* x y) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (* -5641895835477563/5000000000000000 z)) |
| 4.0ms | x | @ | 0 | ((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ -1 x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (* x y) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (* -5641895835477563/5000000000000000 z)) |
| 4.0ms | y | @ | inf | ((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ -1 x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (* x y) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (* -5641895835477563/5000000000000000 z)) |
| 3.0ms | x | @ | inf | ((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ -1 x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (* x y) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (* -5641895835477563/5000000000000000 z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 675 | 3490 |
| 1 | 2238 | 3304 |
| 0 | 8431 | 3107 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(* 5641895835477563/5000000000000000 (exp z)) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(/ -1 x) |
(+ y (* -1 (* y z))) |
(+ y (+ (* -1 (* y z)) (* -5000000000000000/5641895835477563 (* x (* (pow y 2) z))))) |
(+ y (+ (* -1 (* y z)) (* x (+ (* -5000000000000000/5641895835477563 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (* (pow y 3) z))))))) |
(+ y (+ (* -1 (* y z)) (* x (+ (* -5000000000000000/5641895835477563 (* (pow y 2) z)) (* x (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 3) z)) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (* (pow y 4) z))))))))) |
(* -1 (* y z)) |
(+ (* -1 (* y z)) (* -5000000000000000/5641895835477563 (* x (* (pow y 2) z)))) |
(+ (* -1 (* y z)) (* x (+ (* -5000000000000000/5641895835477563 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (* (pow y 3) z)))))) |
(+ (* -1 (* y z)) (* x (+ (* -5000000000000000/5641895835477563 (* (pow y 2) z)) (* x (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 3) z)) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (* (pow y 4) z)))))))) |
(* x y) |
(* 5000000000000000/5641895835477563 (+ y (* -1 (* y z)))) |
(+ (* 5000000000000000/5641895835477563 (+ y (* -1 (* y z)))) (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z)))))))) |
(+ (* 5000000000000000/5641895835477563 (+ y (* -1 (* y z)))) (* x (- (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* x (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow y 3) z)) (* -5000000000000000/5641895835477563 (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z))))))))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z)))))))) |
(+ (* 5000000000000000/5641895835477563 (+ y (* -1 (* y z)))) (* x (- (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* x (- (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow y 3) z)) (* x (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 4) z)) (* -5000000000000000/5641895835477563 (* y (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow y 3) z)) (* -5000000000000000/5641895835477563 (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z)))))))))))))) (* -5000000000000000/5641895835477563 (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z))))))))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z)))))))) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))))) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x) |
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x) |
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x) |
(* -1 (* x y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
y |
(+ y (* 5641895835477563/5000000000000000 (/ z x))) |
(+ y (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) y))))) |
(+ y (+ (* 5641895835477563/5000000000000000 (/ z x)) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) y))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* (pow x 3) (pow y 2))))))) |
(* 5641895835477563/5000000000000000 (/ z x)) |
(/ (+ (* 5641895835477563/5000000000000000 z) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* x y)))) x) |
(/ (+ (* 5641895835477563/5000000000000000 z) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* x y))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* (pow x 2) (pow y 2)))))) x) |
(/ (+ (* 5641895835477563/5000000000000000 z) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* x y))) (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* (pow x 2) (pow y 2)))) (* 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (/ z (* (pow x 3) (pow y 3))))))) x) |
(/ (- (* -5641895835477563/5000000000000000 (/ z (* x y))) (+ 1 (/ 5641895835477563/5000000000000000 (* x y)))) x) |
(/ (- (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ z (* x y)))) (+ 1 (+ (* -5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) (* (pow x 2) y))) (/ 5641895835477563/5000000000000000 (* x y))))) x) |
(/ (- (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* (pow x 3) (pow y 3)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ z (* x y))))) (+ 1 (+ (* -5641895835477563/5000000000000000 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 2))) (* -5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) y))) (* (pow x 3) y))) (+ (* -5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) (* (pow x 2) y))) (/ 5641895835477563/5000000000000000 (* x y)))))) x) |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(+ y (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* x y))) (* -5641895835477563/5000000000000000 z)) x))) |
(+ y (* -1 (/ (+ (* -5641895835477563/5000000000000000 z) (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z y)) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* x (pow y 2))))) x))) x))) |
(* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* x y))) (* -5641895835477563/5000000000000000 z)) x)) |
(* -1 (/ (+ (* -5641895835477563/5000000000000000 z) (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z y)) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* x (pow y 2))))) x))) x)) |
(* -1 (/ (+ (* -5641895835477563/5000000000000000 z) (* -1 (/ (+ (* -1 (/ (+ (* -1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (/ z (* x (pow y 3)))) (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (pow y 2)))) x)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -5641895835477563/5000000000000000 (/ z y)) (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 2))) (* 5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) y))) x))) (* 5641895835477563/5000000000000000 (/ 1 y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -5641895835477563/5000000000000000 (/ z y)) (* -1 (/ (- (+ (* -1 (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (pow y 3))) (* 5641895835477563/5000000000000000 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 2))) (* 5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) y))) y))) x)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) y))) x))) (* 5641895835477563/5000000000000000 (/ 1 y))) x))) x)) |
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))) |
(+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))) |
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))) |
(* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))) |
(* y (+ (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* (pow x 3) y) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow x 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))) |
(* y (+ 1 (* -1 z))) |
(* y (+ 1 (+ (* -1 z) (* -5000000000000000/5641895835477563 (* x (* y z)))))) |
(* y (+ 1 (+ (* -1 z) (* y (+ (* -5000000000000000/5641895835477563 (* x z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow x 2) (* y z)))))))) |
(* y (+ 1 (+ (* -1 z) (* y (+ (* -5000000000000000/5641895835477563 (* x z)) (* y (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow x 2) z)) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 3) (* y z)))))))))) |
(* y (+ (* -1 z) (* -5000000000000000/5641895835477563 (* x (* y z))))) |
(* y (+ (* -1 z) (* y (+ (* -5000000000000000/5641895835477563 (* x z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow x 2) (* y z))))))) |
(* y (+ (* -1 z) (* y (+ (* -5000000000000000/5641895835477563 (* x z)) (* y (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow x 2) z)) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 3) (* y z))))))))) |
(* 5000000000000000/5641895835477563 (* y (+ 1 (* -1 z)))) |
(* y (+ (* 5000000000000000/5641895835477563 (+ 1 (* -1 z))) (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (+ 1 (* -1 z)))))))) |
(* y (+ (* 5000000000000000/5641895835477563 (+ 1 (* -1 z))) (* y (- (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x z)) (* y (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) z)) (* -5000000000000000/5641895835477563 (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (+ 1 (* -1 z)))))))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (+ 1 (* -1 z)))))))) |
(* y (+ (* 5000000000000000/5641895835477563 (+ 1 (* -1 z))) (* y (- (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x z)) (* y (- (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) z)) (* y (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 3) z)) (* -5000000000000000/5641895835477563 (* x (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) z)) (* -5000000000000000/5641895835477563 (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (+ 1 (* -1 z))))))))))))) (* -5000000000000000/5641895835477563 (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (+ 1 (* -1 z)))))))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (+ 1 (* -1 z)))))))) |
(- x (/ 1 x)) |
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x)) |
(- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))) |
(- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x)))) |
(- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)) |
(- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))) |
(- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x)))) |
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x)) |
(* y (+ 1 (* 5641895835477563/5000000000000000 (/ z (* x y))))) |
(* y (+ 1 (+ (* 5641895835477563/5000000000000000 (/ z (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) (pow y 2))))))) |
(* y (+ 1 (+ (* 5641895835477563/5000000000000000 (/ z (* x y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) (pow y 2)))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* (pow x 3) (pow y 3)))))))) |
(+ (* 5641895835477563/5000000000000000 (/ z x)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) y)))) |
(+ (* 5641895835477563/5000000000000000 (/ z x)) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) y))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* (pow x 3) (pow y 2)))))) |
(+ (* 5641895835477563/5000000000000000 (/ z x)) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) y))) (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* (pow x 3) (pow y 2)))) (* 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (/ z (* (pow x 4) (pow y 3))))))) |
(- (* -5641895835477563/5000000000000000 (/ z (* (pow x 2) y))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y)))) |
(- (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 3) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ z (* (pow x 2) y)))) (+ (* -5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) (* x (pow y 2)))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))) |
(- (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* (pow x 4) (pow y 3)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 3) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ z (* (pow x 2) y))))) (+ (* -5641895835477563/5000000000000000 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 3))) (* -5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) x))) (* x (pow y 3)))) (+ (* -5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) (* x (pow y 2)))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y)))))) |
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x)) |
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x)) |
(- (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x)) |
(- (* -1 (/ (- (* -1 (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x)) |
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x)))) |
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ z (* x y))) 1))) |
(* -1 (* y (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) y)))) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* (pow x 3) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 2)))) y)) (* 5641895835477563/5000000000000000 (/ z x))) y)) 1))) |
(+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* (pow x 3) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 2)))) y)) (* 5641895835477563/5000000000000000 (/ z x))) |
(+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 2))) (* -1 (/ (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (pow x 3))) (* 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (/ z (* (pow x 4) y)))) y))) y)) (* 5641895835477563/5000000000000000 (/ z x))) |
(- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y)) (/ 1 x)) |
(- (* -1 (/ (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 3))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) x))) y)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 5641895835477563/5000000000000000 (/ z (pow x 2))))) y)) (/ 1 x)) |
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 3))) (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (pow x 4))) (* 5641895835477563/5000000000000000 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 3))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) x))) x))) y))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) x))) y)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 5641895835477563/5000000000000000 (/ z (pow x 2))))) y)) (/ 1 x)) |
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(/ y (- 5641895835477563/5000000000000000 (* x y))) |
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(- 5641895835477563/5000000000000000 (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y)) |
5641895835477563/5000000000000000 |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(+ y (* -5641895835477563/5000000000000000 (/ (* y z) (- 5641895835477563/5000000000000000 (* x y))))) |
(* -5641895835477563/5000000000000000 (/ (* y z) (- 5641895835477563/5000000000000000 (* x y)))) |
5641895835477563/10000000000000000 |
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)) |
(* -5641895835477563/5000000000000000 z) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(* z (+ (* -5641895835477563/5000000000000000 (/ y (- 5641895835477563/5000000000000000 (* x y)))) (/ y z))) |
(* 5641895835477563/30000000000000000 z) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* 5641895835477563/10000000000000000 z) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) |
(* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (* z (- 5641895835477563/5000000000000000 (* x y)))))) |
(* -1 (* z (+ (* -1 (/ y z)) (* 5641895835477563/5000000000000000 (/ y (- 5641895835477563/5000000000000000 (* x y))))))) |
(* -1 (* z (+ (* -1 (/ y (* z (- 5641895835477563/5000000000000000 (* x y))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) |
| Outputs |
|---|
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) x (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(fma.f64 (fma.f64 (*.f64 x (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64))) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64))))) x (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 x (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)))) x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (pow.f64 (exp.f64 z) #s(literal 2 binary64))))) x (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(fma.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) x) (*.f64 y (/.f64 y (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) x) (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) x (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 x (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)))) x (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) x (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) |
(* 5641895835477563/5000000000000000 (exp z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(+ y (* -1 (* y z))) |
(-.f64 y (*.f64 z y)) |
(+ y (+ (* -1 (* y z)) (* -5000000000000000/5641895835477563 (* x (* (pow y 2) z))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 z y) x) #s(literal -5000000000000000/5641895835477563 binary64) (-.f64 #s(literal 1 binary64) z)) y) |
(+ y (+ (* -1 (* y z)) (* x (+ (* -5000000000000000/5641895835477563 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (* (pow y 3) z))))))) |
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(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 3 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (*.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 3 binary64)))))) (neg.f64 z)) (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 3 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) z (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(- 5641895835477563/5000000000000000 (* x y)) |
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) |
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y)) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y)) |
(fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
5641895835477563/5000000000000000 |
#s(literal 5641895835477563/5000000000000000 binary64) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) |
(fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ y (* -5641895835477563/5000000000000000 (/ (* y z) (- 5641895835477563/5000000000000000 (* x y))))) |
(fma.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal -5641895835477563/5000000000000000 binary64) y) |
(* -5641895835477563/5000000000000000 (/ (* y z) (- 5641895835477563/5000000000000000 (* x y)))) |
(*.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal -5641895835477563/5000000000000000 binary64)) z) |
5641895835477563/10000000000000000 |
#s(literal 5641895835477563/10000000000000000 binary64) |
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)) |
(fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)) |
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(* -5641895835477563/5000000000000000 z) |
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(+.f64 (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) x) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(* z (+ (* -5641895835477563/5000000000000000 (/ y (- 5641895835477563/5000000000000000 (* x y)))) (/ y z))) |
(*.f64 (fma.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 y z)) z) |
(* 5641895835477563/30000000000000000 z) |
(*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(*.f64 (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 5641895835477563/30000000000000000 binary64)) z) |
(* 5641895835477563/10000000000000000 z) |
(*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(*.f64 (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/10000000000000000 binary64)) z) |
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) |
(*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) y) (/.f64 z (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64)))) |
(* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (* z (- 5641895835477563/5000000000000000 (* x y)))))) |
(*.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) z)) z) |
(* -1 (* z (+ (* -1 (/ y z)) (* 5641895835477563/5000000000000000 (/ y (- 5641895835477563/5000000000000000 (* x y))))))) |
(*.f64 (fma.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 y (neg.f64 z))) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (/ y (* z (- 5641895835477563/5000000000000000 (* x y))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) |
(*.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (neg.f64 y) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) z))) (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 338 |
| 0 | 73 | 338 |
| 1 | 308 | 338 |
| 2 | 2257 | 338 |
| 0 | 9477 | 334 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) |
(/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) |
(*.f64 x y) |
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) |
| Outputs |
|---|
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) (-.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) (-.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) (-.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) (-.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) x) (*.f64 x x))) (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 3 binary64)) 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(fma.f64 (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (/.f64 (neg.f64 y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (/.f64 (neg.f64 (*.f64 z y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (/.f64 (*.f64 z y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(fma.f64 (/.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (/.f64 z (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (/.f64 (*.f64 z y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(fma.f64 (/.f64 z (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(fma.f64 (/.f64 y (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (/.f64 (neg.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(fma.f64 (/.f64 (*.f64 z y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(fma.f64 (/.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(fma.f64 (/.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) (-.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(fma.f64 (/.f64 y (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 y (-.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(fma.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) (/.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (/.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
(-.f64 (/.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (/.f64 (*.f64 y y) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (/.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(-.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))) (/.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))))) |
(+.f64 (/.f64 (*.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) y) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (/.f64 (*.f64 z y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal 2 binary64)) (*.f64 y (-.f64 y (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (/.f64 (*.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (/.f64 (*.f64 z y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal 2 binary64)) (*.f64 y (-.f64 y (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
(+.f64 (/.f64 (*.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (/.f64 (*.f64 z y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal 2 binary64)) (*.f64 y (-.f64 y (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (/.f64 (*.f64 z y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal 2 binary64)) (*.f64 y (-.f64 y (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 3 binary64))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (/.f64 (*.f64 z y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal 2 binary64)) (*.f64 y (-.f64 y (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (/.f64 (*.f64 z y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal 2 binary64)) (*.f64 y (-.f64 y (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(+.f64 (/.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
(+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) |
(*.f64 z #s(literal -5641895835477563/5000000000000000 binary64)) |
Compiled 29 338 to 2 679 computations (90.9% saved)
12 alts after pruning (10 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 508 | 6 | 514 |
| Fresh | 2 | 4 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 513 | 12 | 525 |
| Status | Accuracy | Program |
|---|---|---|
| 84.4% | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))) | |
| ▶ | 84.4% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
| ▶ | 83.7% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
| ▶ | 82.7% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
| ✓ | 82.4% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
| 64.9% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) | |
| ▶ | 49.9% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
| 70.0% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (-.f64 y (*.f64 z y))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) | |
| ✓ | 67.6% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
| ▶ | 57.3% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
| 63.4% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x)) | |
| 15.5% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) |
Compiled 596 to 393 computations (34.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 2 | (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) | |
| cost-diff | 5 | (/.f64 (fma.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) | |
| cost-diff | 8 | (fma.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y)) | |
| cost-diff | 10 | (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) | |
| cost-diff | 0 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) | |
| cost-diff | 0 | (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) | |
| cost-diff | 0 | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) | |
| cost-diff | 0 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) | |
| cost-diff | 0 | (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) | |
| cost-diff | 0 | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)) | |
| cost-diff | 0 | #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y))) | |
| cost-diff | 0 | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)))) | |
| cost-diff | 0 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) | |
| cost-diff | 0 | (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) | |
| cost-diff | 0 | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 696 |
| 0 | 100 | 696 |
| 1 | 170 | 696 |
| 2 | 458 | 611 |
| 3 | 2438 | 599 |
| 0 | 8660 | 568 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
x |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
y |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) |
(*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z) |
#s(literal 5641895835477563/30000000000000000 binary64) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 x y) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
x |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y))) |
#s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)) |
(*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y) |
(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) |
#s(literal -5000000000000000/5641895835477563 binary64) |
z |
#s(literal 5000000000000000/5641895835477563 binary64) |
y |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
x |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
y |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 x y) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
x |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
y |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) |
(*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) |
#s(literal 5641895835477563/10000000000000000 binary64) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 x y) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
x |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(fma.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y)) |
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z y)) |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 z y) |
z |
y |
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) |
(*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
| Outputs |
|---|
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) x) |
x |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
(/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) |
y |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
(fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) |
(*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z) |
#s(literal 5641895835477563/30000000000000000 binary64) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 x y) |
(*.f64 y x) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
(+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y))) x) |
x |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y))) |
#s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)) |
(*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y) |
(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) |
#s(literal -5000000000000000/5641895835477563 binary64) |
z |
#s(literal 5000000000000000/5641895835477563 binary64) |
y |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) x) |
x |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
(/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) |
y |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
(fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 x y) |
(*.f64 y x) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))))) x) |
x |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
(/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))))) |
y |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
(fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) |
(*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) |
#s(literal 5641895835477563/10000000000000000 binary64) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 x y) |
(*.f64 y x) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (*.f64 (fma.f64 z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) x) |
x |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (*.f64 (fma.f64 z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(*.f64 (fma.f64 z (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) |
(fma.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y)) |
(*.f64 (*.f64 (neg.f64 y) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) |
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z y)) |
(*.f64 (*.f64 z y) #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 z y) |
z |
y |
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) |
(neg.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) |
(*.f64 y x) |
(*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) |
(*.f64 (*.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) y) (neg.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(*.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) (neg.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) |
(neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) |
(*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.8099828311562788 | (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) | |
| accuracy | 4.453109862586796 | (fma.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y)) | |
| accuracy | 20.28157595263006 | (/.f64 (fma.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) | |
| accuracy | 29.44244178814141 | #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) | |
| accuracy | 0.6015625000000001 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) | |
| accuracy | 6.34149973257644 | (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) | |
| accuracy | 26.38231510181363 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) | |
| accuracy | 29.05008352455704 | #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) | |
| accuracy | 0.1484375 | (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) | |
| accuracy | 0.6015625000000001 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) | |
| accuracy | 6.34149973257644 | (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) | |
| accuracy | 33.85287713382368 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) | |
| accuracy | 0.2421875 | (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) | |
| accuracy | 0.3046875 | (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y) | |
| accuracy | 26.467364275373573 | #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)) | |
| accuracy | 29.44244178814141 | #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y))) | |
| accuracy | 0.6015625000000001 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) | |
| accuracy | 6.34149973257644 | (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) | |
| accuracy | 23.988799732135362 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) | |
| accuracy | 29.06786276447354 | #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) |
| 142.0ms | 256× | 0 | valid |
Compiled 400 to 48 computations (88% saved)
const: 55.0ms (46% of total)ival-mult: 30.0ms (25.1% of total)ival-add: 22.0ms (18.4% of total)ival-div: 6.0ms (5% of total)ival-exp: 2.0ms (1.7% of total)ival-sub: 2.0ms (1.7% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y))) |
#s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)) |
(*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) |
(*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(fma.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y)) |
(/.f64 (fma.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
#s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) |
(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
(*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) |
| Outputs |
|---|
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(* 5641895835477563/5000000000000000 (exp z)) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(* 5000000000000000/5641895835477563 (+ y (* -1 (* y z)))) |
(+ (* 5000000000000000/5641895835477563 (+ y (* -1 (* y z)))) (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z)))))))) |
(+ (* 5000000000000000/5641895835477563 (+ y (* -1 (* y z)))) (* x (- (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* x (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow y 3) z)) (* -5000000000000000/5641895835477563 (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z))))))))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z)))))))) |
(+ (* 5000000000000000/5641895835477563 (+ y (* -1 (* y z)))) (* x (- (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* x (- (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow y 3) z)) (* x (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 4) z)) (* -5000000000000000/5641895835477563 (* y (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow y 3) z)) (* -5000000000000000/5641895835477563 (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z)))))))))))))) (* -5000000000000000/5641895835477563 (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z))))))))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z)))))))) |
-179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 |
(- (* x (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y))) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) |
(- (* x (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (+ (* 31830988618379068626528276418969/12500000000000000000000000000000 y) (* x (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))))))) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) |
(- (* x (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (+ (* 31830988618379068626528276418969/12500000000000000000000000000000 y) (* x (+ (* -5641895835477563/2500000000000000 (pow y 2)) (+ (* -5641895835477563/5000000000000000 (pow y 2)) (* x (pow y 3)))))))) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) |
(+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))) |
(+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z)) (* x (+ (* -5641895835477563/5000000000000000 (* (pow y 2) z)) (* 5641895835477563/2500000000000000 (pow y 2)))))) |
(+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z)) (* x (+ (* -5641895835477563/5000000000000000 (* (pow y 2) z)) (+ (* -1 (* x (pow y 3))) (* 5641895835477563/2500000000000000 (pow y 2))))))) |
(* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z)))) |
(+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z)))) (* x (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* (pow y 2) z)) (* 5641895835477563/2500000000000000 (pow y 2)))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y))))))) |
(+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z)))) (* x (- (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* (pow y 2) z)) (* 5641895835477563/2500000000000000 (pow y 2)))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3)) (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y)) (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* (pow y 2) z)) (* 5641895835477563/2500000000000000 (pow y 2)))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y))))))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))))))))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y))))))) |
(+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z)))) (* x (- (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* (pow y 2) z)) (* 5641895835477563/2500000000000000 (pow y 2)))) (* x (- (+ (* -1 (* x (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* (pow y 2) z)) (* 5641895835477563/2500000000000000 (pow y 2)))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y))))))) (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y)) (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3)) (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y)) (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* (pow y 2) z)) (* 5641895835477563/2500000000000000 (pow y 2)))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y))))))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))))))))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (pow y 3) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))))))))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3))) (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y)) (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* (pow y 2) z)) (* 5641895835477563/2500000000000000 (pow y 2)))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y))))))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))))))))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y))))))) |
-5641895835477563/5000000000000000 |
(- (* x y) 5641895835477563/5000000000000000) |
(* -31830988618379068626528276418969/25000000000000000000000000000000 y) |
(+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 5641895835477563/2500000000000000 (* x (pow y 2)))) |
(+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* x (+ (* -1 (* x (pow y 3))) (* 5641895835477563/2500000000000000 (pow y 2))))) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))))) |
(/ -1 x) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x) |
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x) |
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x) |
(* -1 (* x y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(/ (- (* -5641895835477563/5000000000000000 (/ z (* x y))) (+ 1 (/ 5641895835477563/5000000000000000 (* x y)))) x) |
(/ (- (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ z (* x y)))) (+ 1 (+ (* -5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) (* (pow x 2) y))) (/ 5641895835477563/5000000000000000 (* x y))))) x) |
(/ (- (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* (pow x 3) (pow y 3)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ z (* x y))))) (+ 1 (+ (* -5641895835477563/5000000000000000 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 2))) (* -5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) y))) (* (pow x 3) y))) (+ (* -5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) (* (pow x 2) y))) (/ 5641895835477563/5000000000000000 (* x y)))))) x) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (+ (* -5641895835477563/2500000000000000 (/ (pow y 2) x)) (+ (* -5641895835477563/5000000000000000 (/ (pow y 2) x)) (pow y 3)))) |
(* (pow x 3) (+ (* -5641895835477563/2500000000000000 (/ (pow y 2) x)) (+ (* -5641895835477563/5000000000000000 (/ (pow y 2) x)) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow x 2))) (+ (* 31830988618379068626528276418969/12500000000000000000000000000000 (/ y (pow x 2))) (pow y 3)))))) |
(* (pow x 3) (- (+ (* -5641895835477563/2500000000000000 (/ (pow y 2) x)) (+ (* -5641895835477563/5000000000000000 (/ (pow y 2) x)) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow x 2))) (+ (* 31830988618379068626528276418969/12500000000000000000000000000000 (/ y (pow x 2))) (pow y 3))))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (pow x 3))))) |
(* -1 (* (pow x 2) (pow y 3))) |
(* (pow x 2) (+ (* -5641895835477563/5000000000000000 (/ (* (pow y 2) z) x)) (+ (* -1 (pow y 3)) (* 5641895835477563/2500000000000000 (/ (pow y 2) x))))) |
(* (pow x 2) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow x 2))) (+ (* -5641895835477563/5000000000000000 (/ (* (pow y 2) z) x)) (+ (* -1 (pow y 3)) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (* y z) (pow x 2))) (* 5641895835477563/2500000000000000 (/ (pow y 2) x))))))) |
(/ (- (+ (* -5641895835477563/5000000000000000 (/ z (* x y))) (/ 5641895835477563/2500000000000000 (* x y))) (+ 1 (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (* x (pow y 3)))))) x) |
(/ (- (+ (* -5641895835477563/5000000000000000 (/ z (* x y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) (pow y 2)))) (/ 5641895835477563/2500000000000000 (* x y)))) (+ 1 (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (* x (pow y 3)))) (+ (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y)) (* (pow x 2) (pow y 3)))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 2) (pow y 2)))) (/ (* (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (- (+ (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/2500000000000000 (/ 1 y))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3))))) (* (pow x 2) (pow y 3)))))))) x) |
(/ (- (+ (* -5641895835477563/5000000000000000 (/ z (* x y))) (+ (* -1 (/ (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (pow y 3))) (+ (/ (* (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 2))) (+ (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y)) (pow y 3))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))) (/ (* (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (- (+ (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/2500000000000000 (/ 1 y))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3))))) (pow y 3)))))) (pow y 3)) (/ (* (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y)) (- (+ (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/2500000000000000 (/ 1 y))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3))))) (pow y 3)))) (pow x 3))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) (pow y 2)))) (/ 5641895835477563/2500000000000000 (* x y))))) (+ 1 (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (* x (pow y 3)))) (+ (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y)) (* (pow x 2) (pow y 3)))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 2) (pow y 2)))) (/ (* (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (- (+ (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/2500000000000000 (/ 1 y))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3))))) (* (pow x 2) (pow y 3)))))))) x) |
(* x y) |
(* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))) |
(* (pow x 2) (+ (* -1 (pow y 3)) (* 5641895835477563/2500000000000000 (/ (pow y 2) x)))) |
(* (pow x 2) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow x 2))) (+ (* -1 (pow y 3)) (* 5641895835477563/2500000000000000 (/ (pow y 2) x))))) |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -5641895835477563/5000000000000000 (/ z y)) (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 2))) (* 5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) y))) x))) (* 5641895835477563/5000000000000000 (/ 1 y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -5641895835477563/5000000000000000 (/ z y)) (* -1 (/ (- (+ (* -1 (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (pow y 3))) (* 5641895835477563/5000000000000000 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 2))) (* 5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) y))) y))) x)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) y))) x))) (* 5641895835477563/5000000000000000 (/ 1 y))) x))) x)) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) x)) (* -1 (pow y 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (+ (* -5641895835477563/5000000000000000 (pow y 2)) (* -1 (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 y) (* -31830988618379068626528276418969/25000000000000000000000000000000 y)) x)))) x)) (* -1 (pow y 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (+ (* -5641895835477563/5000000000000000 (pow y 2)) (* -1 (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 y) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 x)))) x)))) x)) (* -1 (pow y 3))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* 5641895835477563/5000000000000000 (* (pow y 2) z))) x)) (* -1 (pow y 3)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))) x)) (* 5641895835477563/5000000000000000 (* (pow y 2) z)))) x)) (* -1 (pow y 3)))) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* 5641895835477563/5000000000000000 (* (pow y 2) z))) (pow y 3))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3)))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* 5641895835477563/5000000000000000 (* (pow y 2) z))) (pow y 3))) (* -1 (/ (- (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))) (pow y 3))) (+ (* -1 (/ (* (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (- (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* 5641895835477563/5000000000000000 (* (pow y 2) z))) (pow y 3))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3))))) (pow y 3))) (* -1 (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 y) (* -31830988618379068626528276418969/25000000000000000000000000000000 y)) (pow y 3))))) x))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3)))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* 5641895835477563/5000000000000000 (* (pow y 2) z))) (pow y 3))) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 y) (* -31830988618379068626528276418969/25000000000000000000000000000000 y)) (- (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* 5641895835477563/5000000000000000 (* (pow y 2) z))) (pow y 3))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3))))) (* x (pow y 3)))) (+ (* -1 (/ (* (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (- (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))) (pow y 3))) (+ (* -1 (/ (* (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (- (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* 5641895835477563/5000000000000000 (* (pow y 2) z))) (pow y 3))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3))))) (pow y 3))) (* -1 (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 y) (* -31830988618379068626528276418969/25000000000000000000000000000000 y)) (pow y 3)))))) (* x (pow y 3)))) (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))) (pow y 3))) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* x (pow y 3)))))) (+ (* -1 (/ (* (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (- (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* 5641895835477563/5000000000000000 (* (pow y 2) z))) (pow y 3))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3))))) (pow y 3))) (* -1 (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 y) (* -31830988618379068626528276418969/25000000000000000000000000000000 y)) (pow y 3))))) x))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3)))) x))) x)) |
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ y x))) x)) (* -1 (pow y 3)))) |
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))) |
(+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))) |
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))) |
(* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))) |
(* y (+ (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* (pow x 3) y) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow x 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))) |
(* 5000000000000000/5641895835477563 (* y (+ 1 (* -1 z)))) |
(* y (+ (* 5000000000000000/5641895835477563 (+ 1 (* -1 z))) (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (+ 1 (* -1 z)))))))) |
(* y (+ (* 5000000000000000/5641895835477563 (+ 1 (* -1 z))) (* y (- (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x z)) (* y (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) z)) (* -5000000000000000/5641895835477563 (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (+ 1 (* -1 z)))))))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (+ 1 (* -1 z)))))))) |
(* y (+ (* 5000000000000000/5641895835477563 (+ 1 (* -1 z))) (* y (- (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x z)) (* y (- (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) z)) (* y (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 3) z)) (* -5000000000000000/5641895835477563 (* x (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) z)) (* -5000000000000000/5641895835477563 (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (+ 1 (* -1 z))))))))))))) (* -5000000000000000/5641895835477563 (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (+ 1 (* -1 z)))))))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (+ 1 (* -1 z)))))))) |
(* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))) |
(- (* y (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (* 31830988618379068626528276418969/12500000000000000000000000000000 x))) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) |
(- (* y (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (+ (* 31830988618379068626528276418969/12500000000000000000000000000000 x) (* y (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))))))) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) |
(- (* y (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (+ (* 31830988618379068626528276418969/12500000000000000000000000000000 x) (* y (+ (* -5641895835477563/2500000000000000 (pow x 2)) (+ (* -5641895835477563/5000000000000000 (pow x 2)) (* (pow x 3) y))))))) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) |
(* y (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000)) |
(* y (- (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 z) (* y (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x)))) 31830988618379068626528276418969/25000000000000000000000000000000)) |
(* y (- (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 z) (* y (+ (* -5641895835477563/5000000000000000 (* x z)) (+ (* -1 (* (pow x 2) y)) (* 5641895835477563/2500000000000000 x))))) 31830988618379068626528276418969/25000000000000000000000000000000)) |
(* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* y (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000))) |
(* y (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000)) (* y (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (* 31830988618379068626528276418969/12500000000000000000000000000000 x)) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000))))))) |
(* y (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000)) (* y (- (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x))) (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow x 2)) (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (* 31830988618379068626528276418969/12500000000000000000000000000000 x)) (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (* 31830988618379068626528276418969/12500000000000000000000000000000 x)) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000)))))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000))))))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (* 31830988618379068626528276418969/12500000000000000000000000000000 x)) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000))))))) |
(* y (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000)) (* y (- (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x))) (* y (- (+ (* -1 (* y (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x))) (* 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(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) y)) (* -1 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow x 2)) (+ (* -5641895835477563/5000000000000000 (pow x 2)) (* -1 (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 x) (* -31830988618379068626528276418969/25000000000000000000000000000000 x)) y)))) y)) (* -1 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow x 2)) (+ (* -5641895835477563/5000000000000000 (pow x 2)) (* -1 (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 x) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 x) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 y)))) y)))) y)) (* -1 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x)) y)) (pow x 2)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -5641895835477563/5000000000000000 (* x z)) (+ (* -1 (/ (+ 31830988618379068626528276418969/25000000000000000000000000000000 (* -31830988618379068626528276418969/25000000000000000000000000000000 z)) y)) (* 5641895835477563/2500000000000000 x))) y)) (pow x 2)))) |
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(/ y (- 5641895835477563/5000000000000000 (* x y))) |
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(- 5641895835477563/5000000000000000 (* x y)) |
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(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y)) |
5641895835477563/5000000000000000 |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(* 5000000000000000/5641895835477563 y) |
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y)) |
(* y (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000))) |
(+ (* 5641895835477563/5000000000000000 (* y (* z (- 5641895835477563/5000000000000000 (* x y))))) (* y (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000)))) |
(+ (* 5641895835477563/5000000000000000 (/ (* y z) (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000)))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
5641895835477563/10000000000000000 |
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)) |
5000000000000000/5641895835477563 |
(+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) |
(* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (* z (- 5641895835477563/5000000000000000 (* x y)))))) |
(* -5000000000000000/5641895835477563 (* y z)) |
(* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z)))) |
(* 5641895835477563/5000000000000000 (* y (* z (- 5641895835477563/5000000000000000 (* x y))))) |
(* z (+ (* 5641895835477563/5000000000000000 (* y (- 5641895835477563/5000000000000000 (* x y)))) (/ (* y (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000))) z))) |
(* 5641895835477563/5000000000000000 (/ (* y z) (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000)))) |
(* z (+ (* 5641895835477563/5000000000000000 (/ y (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000)))) (/ y (* z (- 5641895835477563/5000000000000000 (* x y)))))) |
(* 5641895835477563/30000000000000000 z) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* -5000000000000000/5641895835477563 z) |
(* z (- (* 5000000000000000/5641895835477563 (/ 1 z)) 5000000000000000/5641895835477563)) |
(* 5641895835477563/5000000000000000 z) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* 5641895835477563/10000000000000000 z) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* -1 (* z (+ (* -1 (/ y (* z (- 5641895835477563/5000000000000000 (* x y))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) |
(* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)))) |
(* -1 (* z (+ (* -5641895835477563/5000000000000000 (* y (- 5641895835477563/5000000000000000 (* x y)))) (* -1 (/ (* y (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000))) z))))) |
(* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ y (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000)))) (* -1 (/ y (* z (- 5641895835477563/5000000000000000 (* x y)))))))) |
(* -1 (* z (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | x | @ | 0 | ((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (/ (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x)))) (neg (- 5641895835477563/5000000000000000 (* y x))) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) |
| 9.0ms | z | @ | inf | ((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (/ (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x)))) (neg (- 5641895835477563/5000000000000000 (* y x))) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) |
| 7.0ms | y | @ | -inf | ((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (/ (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x)))) (neg (- 5641895835477563/5000000000000000 (* y x))) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) |
| 5.0ms | y | @ | 0 | ((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (/ (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x)))) (neg (- 5641895835477563/5000000000000000 (* y x))) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) |
| 4.0ms | y | @ | inf | ((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (/ (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x)))) (neg (- 5641895835477563/5000000000000000 (* y x))) (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1105 | 5941 |
| 1 | 3876 | 5755 |
| 0 | 8025 | 5429 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(* 5641895835477563/5000000000000000 (exp z)) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(* 5000000000000000/5641895835477563 (+ y (* -1 (* y z)))) |
(+ (* 5000000000000000/5641895835477563 (+ y (* -1 (* y z)))) (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z)))))))) |
(+ (* 5000000000000000/5641895835477563 (+ y (* -1 (* y z)))) (* x (- (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* x (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow y 3) z)) (* -5000000000000000/5641895835477563 (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z))))))))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z)))))))) |
(+ (* 5000000000000000/5641895835477563 (+ y (* -1 (* y z)))) (* x (- (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* x (- (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow y 3) z)) (* x (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 4) z)) (* -5000000000000000/5641895835477563 (* y (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow y 3) z)) (* -5000000000000000/5641895835477563 (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z)))))))))))))) (* -5000000000000000/5641895835477563 (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z))))))))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z)))))))) |
-179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 |
(- (* x (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y))) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) |
(- (* x (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (+ (* 31830988618379068626528276418969/12500000000000000000000000000000 y) (* x (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))))))) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) |
(- (* x (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (+ (* 31830988618379068626528276418969/12500000000000000000000000000000 y) (* x (+ (* -5641895835477563/2500000000000000 (pow y 2)) (+ (* -5641895835477563/5000000000000000 (pow y 2)) (* x (pow y 3)))))))) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) |
(+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))) |
(+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z)) (* x (+ (* -5641895835477563/5000000000000000 (* (pow y 2) z)) (* 5641895835477563/2500000000000000 (pow y 2)))))) |
(+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z)) (* x (+ (* -5641895835477563/5000000000000000 (* (pow y 2) z)) (+ (* -1 (* x (pow y 3))) (* 5641895835477563/2500000000000000 (pow y 2))))))) |
(* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z)))) |
(+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z)))) (* x (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* (pow y 2) z)) (* 5641895835477563/2500000000000000 (pow y 2)))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y))))))) |
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(- (* x y) 5641895835477563/5000000000000000) |
(* -31830988618379068626528276418969/25000000000000000000000000000000 y) |
(+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 5641895835477563/2500000000000000 (* x (pow y 2)))) |
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x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))))) |
(/ -1 x) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x) |
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x) |
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x) |
(* -1 (* x y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(/ (- (* -5641895835477563/5000000000000000 (/ z (* x y))) (+ 1 (/ 5641895835477563/5000000000000000 (* x y)))) x) |
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(/ (- (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* (pow x 3) (pow y 3)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ z (* x y))))) (+ 1 (+ (* -5641895835477563/5000000000000000 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 2))) (* -5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) y))) (* (pow x 3) y))) (+ (* -5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) (* (pow x 2) y))) (/ 5641895835477563/5000000000000000 (* x y)))))) x) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (+ (* -5641895835477563/2500000000000000 (/ (pow y 2) x)) (+ (* -5641895835477563/5000000000000000 (/ (pow y 2) x)) (pow y 3)))) |
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(* -1 (* (pow x 2) (pow y 3))) |
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(/ (- (+ (* -5641895835477563/5000000000000000 (/ z (* x y))) (/ 5641895835477563/2500000000000000 (* x y))) (+ 1 (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (* x (pow y 3)))))) x) |
(/ (- (+ (* -5641895835477563/5000000000000000 (/ z (* x y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) (pow y 2)))) (/ 5641895835477563/2500000000000000 (* x y)))) (+ 1 (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (* x (pow y 3)))) (+ (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y)) (* (pow x 2) (pow y 3)))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 2) (pow y 2)))) (/ (* (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (- (+ (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/2500000000000000 (/ 1 y))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3))))) (* (pow x 2) (pow y 3)))))))) x) |
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(* x y) |
(* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))) |
(* (pow x 2) (+ (* -1 (pow y 3)) (* 5641895835477563/2500000000000000 (/ (pow y 2) x)))) |
(* (pow x 2) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow x 2))) (+ (* -1 (pow y 3)) (* 5641895835477563/2500000000000000 (/ (pow y 2) x))))) |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -5641895835477563/5000000000000000 (/ z y)) (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 2))) (* 5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) y))) x))) (* 5641895835477563/5000000000000000 (/ 1 y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -5641895835477563/5000000000000000 (/ z y)) (* -1 (/ (- (+ (* -1 (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (pow y 3))) (* 5641895835477563/5000000000000000 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 2))) (* 5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) y))) y))) x)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) y))) x))) (* 5641895835477563/5000000000000000 (/ 1 y))) x))) x)) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) x)) (* -1 (pow y 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (+ (* -5641895835477563/5000000000000000 (pow y 2)) (* -1 (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 y) (* -31830988618379068626528276418969/25000000000000000000000000000000 y)) x)))) x)) (* -1 (pow y 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (+ (* -5641895835477563/5000000000000000 (pow y 2)) (* -1 (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 y) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 x)))) x)))) x)) (* -1 (pow y 3))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* 5641895835477563/5000000000000000 (* (pow y 2) z))) x)) (* -1 (pow y 3)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))) x)) (* 5641895835477563/5000000000000000 (* (pow y 2) z)))) x)) (* -1 (pow y 3)))) |
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(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ y x))) x)) (* -1 (pow y 3)))) |
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))) |
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(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))) |
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(* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))) |
(- (* y (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (* 31830988618379068626528276418969/12500000000000000000000000000000 x))) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) |
(- (* y (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (+ (* 31830988618379068626528276418969/12500000000000000000000000000000 x) (* y (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))))))) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) |
(- (* y (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (+ (* 31830988618379068626528276418969/12500000000000000000000000000000 x) (* y (+ (* -5641895835477563/2500000000000000 (pow x 2)) (+ (* -5641895835477563/5000000000000000 (pow x 2)) (* (pow x 3) y))))))) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) |
(* y (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000)) |
(* y (- (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 z) (* y (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x)))) 31830988618379068626528276418969/25000000000000000000000000000000)) |
(* y (- (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 z) (* y (+ (* -5641895835477563/5000000000000000 (* x z)) (+ (* -1 (* (pow x 2) y)) (* 5641895835477563/2500000000000000 x))))) 31830988618379068626528276418969/25000000000000000000000000000000)) |
(* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* y (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000))) |
(* y (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000)) (* y (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (* 31830988618379068626528276418969/12500000000000000000000000000000 x)) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000))))))) |
(* y (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000)) (* y (- (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x))) (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow x 2)) (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (* 31830988618379068626528276418969/12500000000000000000000000000000 x)) (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (* 31830988618379068626528276418969/12500000000000000000000000000000 x)) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000)))))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000))))))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (* 31830988618379068626528276418969/12500000000000000000000000000000 x)) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000))))))) |
(* y (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000)) (* y (- (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x))) (* y (- (+ (* -1 (* y (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x))) (* 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(* y (- (* 5641895835477563/2500000000000000 (* x y)) 31830988618379068626528276418969/25000000000000000000000000000000)) |
(* y (- (* y (+ (* -1 (* (pow x 2) y)) (* 5641895835477563/2500000000000000 x))) 31830988618379068626528276418969/25000000000000000000000000000000)) |
(- x (/ 1 x)) |
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x)) |
(- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))) |
(- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x)))) |
(- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)) |
(- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))) |
(- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x)))) |
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x)) |
(- (* -5641895835477563/5000000000000000 (/ z (* (pow x 2) y))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y)))) |
(- (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 3) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ z (* (pow x 2) y)))) (+ (* -5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) (* x (pow y 2)))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))) |
(- (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* (pow x 4) (pow y 3)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 3) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ z (* (pow x 2) y))))) (+ (* -5641895835477563/5000000000000000 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 3))) (* -5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) x))) (* x (pow y 3)))) (+ (* -5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) (* x (pow y 2)))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y)))))) |
(* (pow y 3) (+ (* -5641895835477563/2500000000000000 (/ (pow x 2) y)) (+ (* -5641895835477563/5000000000000000 (/ (pow x 2) y)) (pow x 3)))) |
(* (pow y 3) (+ (* -5641895835477563/2500000000000000 (/ (pow x 2) y)) (+ (* -5641895835477563/5000000000000000 (/ (pow x 2) y)) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ x (pow y 2))) (+ (* 31830988618379068626528276418969/12500000000000000000000000000000 (/ x (pow y 2))) (pow x 3)))))) |
(* (pow y 3) (- (+ (* -5641895835477563/2500000000000000 (/ (pow x 2) y)) (+ (* -5641895835477563/5000000000000000 (/ (pow x 2) y)) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ x (pow y 2))) (+ (* 31830988618379068626528276418969/12500000000000000000000000000000 (/ x (pow y 2))) (pow x 3))))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (pow y 3))))) |
(* (pow y 3) (+ (* -5641895835477563/5000000000000000 (/ (* x z) y)) (+ (* -1 (pow x 2)) (* 5641895835477563/2500000000000000 (/ x y))))) |
(* (pow y 3) (- (+ (* -5641895835477563/5000000000000000 (/ (* x z) y)) (+ (* -1 (pow x 2)) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 2))) (* 5641895835477563/2500000000000000 (/ x y))))) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (pow y 2)))) |
(- (+ (* -5641895835477563/5000000000000000 (/ z (* (pow x 2) y))) (/ 5641895835477563/2500000000000000 (* (pow x 2) y))) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (* (pow x 4) y))) (/ 1 x))) |
(- (+ (* -5641895835477563/5000000000000000 (/ z (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 3) (pow y 2)))) (/ 5641895835477563/2500000000000000 (* (pow x 2) y)))) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (* (pow x 4) y))) (+ (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (* 31830988618379068626528276418969/12500000000000000000000000000000 x)) (* (pow x 4) (pow y 2)))) (+ (/ 1 x) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) (pow y 2)))) (/ (* (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (- (+ (* -5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/2500000000000000 (/ 1 (pow x 2)))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (pow x 4))))) (* (pow x 3) (pow y 2)))))))) |
(- (+ (* -5641895835477563/5000000000000000 (/ z (* (pow x 2) y))) (+ (* -1 (/ (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (pow x 4))) (+ (/ (* (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 3))) (+ (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (* 31830988618379068626528276418969/12500000000000000000000000000000 x)) (pow x 4))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3))) (/ (* (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (- (+ (* -5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/2500000000000000 (/ 1 (pow x 2)))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (pow x 4))))) (pow x 3)))))) (pow x 3)) (/ (* (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (* 31830988618379068626528276418969/12500000000000000000000000000000 x)) (- (+ (* -5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/2500000000000000 (/ 1 (pow x 2)))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (pow x 4))))) (pow x 3)))) (pow y 3))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 3) (pow y 2)))) (/ 5641895835477563/2500000000000000 (* (pow x 2) y))))) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (* (pow x 4) y))) (+ (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (* 31830988618379068626528276418969/12500000000000000000000000000000 x)) (* (pow x 4) (pow y 2)))) (+ (/ 1 x) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) (pow y 2)))) (/ (* (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (- (+ (* -5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/2500000000000000 (/ 1 (pow x 2)))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (pow x 4))))) (* (pow x 3) (pow y 2)))))))) |
(* y (- x (* 5641895835477563/5000000000000000 (/ 1 y)))) |
(* (pow y 3) (+ (* -1 (pow x 2)) (* 5641895835477563/2500000000000000 (/ x y)))) |
(* (pow y 3) (- (+ (* -1 (pow x 2)) (* 5641895835477563/2500000000000000 (/ x y))) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (pow y 2)))) |
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x)) |
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x)) |
(- (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x)) |
(- (* -1 (/ (- (* -1 (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x)) |
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x)))) |
(- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y)) (/ 1 x)) |
(- (* -1 (/ (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 3))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) x))) y)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 5641895835477563/5000000000000000 (/ z (pow x 2))))) y)) (/ 1 x)) |
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 3))) (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (pow x 4))) (* 5641895835477563/5000000000000000 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 3))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) x))) x))) y))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) x))) y)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 5641895835477563/5000000000000000 (/ z (pow x 2))))) y)) (/ 1 x)) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) y)) (* -1 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow x 2)) (+ (* -5641895835477563/5000000000000000 (pow x 2)) (* -1 (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 x) (* -31830988618379068626528276418969/25000000000000000000000000000000 x)) y)))) y)) (* -1 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow x 2)) (+ (* -5641895835477563/5000000000000000 (pow x 2)) (* -1 (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 x) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 x) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 y)))) y)))) y)) (* -1 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x)) y)) (pow x 2)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -5641895835477563/5000000000000000 (* x z)) (+ (* -1 (/ (+ 31830988618379068626528276418969/25000000000000000000000000000000 (* -31830988618379068626528276418969/25000000000000000000000000000000 z)) y)) (* 5641895835477563/2500000000000000 x))) y)) (pow x 2)))) |
(- (* -1 (/ (+ (* -1 (/ (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x)) (pow x 3))) (* 16925687506432689/5000000000000000 (/ 1 (pow x 2)))) y)) (/ 1 x)) |
(- (* -1 (/ (+ (* -1 (/ (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x)) (pow x 3))) (+ (* -1 (/ (- (+ (* -1 (/ (+ 31830988618379068626528276418969/25000000000000000000000000000000 (* -31830988618379068626528276418969/25000000000000000000000000000000 z)) (pow x 3))) (* 95492965855137205879584829256907/25000000000000000000000000000000 (/ 1 (pow x 3)))) (* -1 (/ (* (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (+ (* -1 (/ (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x)) (pow x 3))) (* 16925687506432689/5000000000000000 (/ 1 (pow x 2))))) (pow x 3)))) y)) (* 16925687506432689/5000000000000000 (/ 1 (pow x 2))))) y)) (/ 1 x)) |
(- (* -1 (/ (+ (* -1 (/ (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x)) (pow x 3))) (+ (* -1 (/ (- (+ (* -1 (/ (+ 31830988618379068626528276418969/25000000000000000000000000000000 (* -31830988618379068626528276418969/25000000000000000000000000000000 z)) (pow x 3))) (+ (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (pow x 4))) (+ (* -1 (/ (* (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 x) (* -31830988618379068626528276418969/25000000000000000000000000000000 x)) (+ (* -1 (/ (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x)) (pow x 3))) (* 16925687506432689/5000000000000000 (/ 1 (pow x 2))))) (pow x 3))) (* -1 (/ (* (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (- (+ (* -1 (/ (+ 31830988618379068626528276418969/25000000000000000000000000000000 (* -31830988618379068626528276418969/25000000000000000000000000000000 z)) (pow x 3))) (* 95492965855137205879584829256907/25000000000000000000000000000000 (/ 1 (pow x 3)))) (* -1 (/ (* (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (+ (* -1 (/ (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x)) (pow x 3))) (* 16925687506432689/5000000000000000 (/ 1 (pow x 2))))) (pow x 3))))) (pow x 3))))) y)) (* 95492965855137205879584829256907/25000000000000000000000000000000 (/ 1 (pow x 3))))) (* -1 (/ (* (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (+ (* -1 (/ (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x)) (pow x 3))) (* 16925687506432689/5000000000000000 (/ 1 (pow x 2))))) (pow x 3)))) y)) (* 16925687506432689/5000000000000000 (/ 1 (pow x 2))))) y)) (/ 1 x)) |
(* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))) |
(* -1 (* (pow y 3) (+ (* -5641895835477563/2500000000000000 (/ x y)) (pow x 2)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* 5641895835477563/2500000000000000 x) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 y))) y)) (pow x 2)))) |
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(/ y (- 5641895835477563/5000000000000000 (* x y))) |
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(- 5641895835477563/5000000000000000 (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y)) |
5641895835477563/5000000000000000 |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(* 5000000000000000/5641895835477563 y) |
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y)) |
(* y (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000))) |
(+ (* 5641895835477563/5000000000000000 (* y (* z (- 5641895835477563/5000000000000000 (* x y))))) (* y (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000)))) |
(+ (* 5641895835477563/5000000000000000 (/ (* y z) (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000)))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
5641895835477563/10000000000000000 |
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)) |
5000000000000000/5641895835477563 |
(+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) |
(* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (* z (- 5641895835477563/5000000000000000 (* x y)))))) |
(* -5000000000000000/5641895835477563 (* y z)) |
(* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z)))) |
(* 5641895835477563/5000000000000000 (* y (* z (- 5641895835477563/5000000000000000 (* x y))))) |
(* z (+ (* 5641895835477563/5000000000000000 (* y (- 5641895835477563/5000000000000000 (* x y)))) (/ (* y (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000))) z))) |
(* 5641895835477563/5000000000000000 (/ (* y z) (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000)))) |
(* z (+ (* 5641895835477563/5000000000000000 (/ y (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000)))) (/ y (* z (- 5641895835477563/5000000000000000 (* x y)))))) |
(* 5641895835477563/30000000000000000 z) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* -5000000000000000/5641895835477563 z) |
(* z (- (* 5000000000000000/5641895835477563 (/ 1 z)) 5000000000000000/5641895835477563)) |
(* 5641895835477563/5000000000000000 z) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* 5641895835477563/10000000000000000 z) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* -1 (* z (+ (* -1 (/ y (* z (- 5641895835477563/5000000000000000 (* x y))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) |
(* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)))) |
(* -1 (* z (+ (* -5641895835477563/5000000000000000 (* y (- 5641895835477563/5000000000000000 (* x y)))) (* -1 (/ (* y (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000))) z))))) |
(* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ y (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000)))) (* -1 (/ y (* z (- 5641895835477563/5000000000000000 (* x y)))))))) |
(* -1 (* z (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z))))) |
| Outputs |
|---|
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) x (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(fma.f64 (-.f64 (fma.f64 (*.f64 x (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64))) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) x (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)))) x #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) x (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y y) x) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) |
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5641895835477563/5000000000000000 |
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(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
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5641895835477563/10000000000000000 |
#s(literal 5641895835477563/10000000000000000 binary64) |
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5000000000000000/5641895835477563 |
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(* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (* z (- 5641895835477563/5000000000000000 (* x y)))))) |
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(* -5000000000000000/5641895835477563 (* y z)) |
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(* 5641895835477563/5000000000000000 (* y (* z (- 5641895835477563/5000000000000000 (* x y))))) |
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(* z (+ (* 5641895835477563/5000000000000000 (* y (- 5641895835477563/5000000000000000 (* x y)))) (/ (* y (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000))) z))) |
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(* 5641895835477563/5000000000000000 (/ (* y z) (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000)))) |
(/.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z y)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 (*.f64 y x) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(* z (+ (* 5641895835477563/5000000000000000 (/ y (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000)))) (/ y (* z (- 5641895835477563/5000000000000000 (* x y)))))) |
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(* 5641895835477563/30000000000000000 z) |
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(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
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(* -5000000000000000/5641895835477563 z) |
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(* z (- (* 5000000000000000/5641895835477563 (/ 1 z)) 5000000000000000/5641895835477563)) |
(*.f64 (-.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z) |
(* 5641895835477563/5000000000000000 z) |
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(* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ y (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000)))) (* -1 (/ y (* z (- 5641895835477563/5000000000000000 (* x y)))))))) |
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(* -1 (* z (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z))))) |
(*.f64 (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) z)) (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 534 |
| 0 | 98 | 534 |
| 1 | 388 | 506 |
| 2 | 2911 | 466 |
| 0 | 8292 | 451 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
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#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y))) |
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#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) |
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(/.f64 (fma.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
#s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) |
(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
(*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) |
| Outputs |
|---|
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))))))) |
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(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) (-.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) x) (*.f64 x x)) (*.f64 (fma.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) (-.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) x) (*.f64 x x)) (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) (-.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) x) (*.f64 x x)) (fma.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) (-.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) x) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (/.f64 (*.f64 y x) (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) (-.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 2 binary64))) (-.f64 x (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (/.f64 (*.f64 y x) (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) (-.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) x) (*.f64 x x))) |
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(/.f64 (fma.f64 #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) (fma.f64 (*.f64 z z) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (-.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64))))) |
(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) |
(fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64))) (/.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (-.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)))) |
(-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) z)) |
(-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 (neg.f64 z) #s(literal -5000000000000000/5641895835477563 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 z z) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (-.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64))))) (/.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (fma.f64 (*.f64 z z) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (-.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 z #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))) |
(+.f64 (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) |
(+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) |
(*.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (+.f64 #s(literal 1 binary64) z)) |
(/.f64 (neg.f64 (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 (-.f64 (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (*.f64 (-.f64 (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) (*.f64 (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (*.f64 (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))))) |
(/.f64 (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (neg.f64 (-.f64 (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (neg.f64 (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 (pow.f64 (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (-.f64 (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 (pow.f64 (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))))) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z)) |
(+.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))))) (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (fma.f64 (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) z (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))))) |
(+.f64 (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) |
#s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(*.f64 (*.f64 y (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(*.f64 (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) y) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(*.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) y) |
(*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) y)) |
(*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y)) |
(*.f64 y (neg.f64 (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64)))) |
(neg.f64 (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) y))) |
(neg.f64 (*.f64 (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64)) y)) |
Compiled 40 841 to 3 657 computations (91% saved)
16 alts after pruning (11 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 639 | 8 | 647 |
| Fresh | 2 | 3 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 643 | 16 | 659 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 84.4% | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))) |
| ✓ | 84.4% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
| ✓ | 83.7% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
| ▶ | 65.6% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
| ✓ | 82.4% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
| 25.4% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y)) (*.f64 (*.f64 #s(approx (neg (- 5641895835477563/5000000000000000 (* y x))) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) | |
| 70.0% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (-.f64 y (*.f64 z y))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) | |
| ▶ | 67.3% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
| ✓ | 67.6% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
| ✓ | 57.3% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
| ▶ | 46.7% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y)))) |
| ▶ | 63.7% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
| 46.7% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 z y)))))) | |
| 57.2% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x)))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y) #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))))) | |
| 63.4% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64) x)) | |
| 15.5% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) |
Compiled 1 020 to 609 computations (40.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) | |
| cost-diff | 0 | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) | |
| cost-diff | 2 | (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) | |
| cost-diff | 10 | (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) | |
| cost-diff | 0 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) | |
| cost-diff | 0 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) | |
| cost-diff | 0 | (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))) | |
| cost-diff | 0 | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y)) | |
| cost-diff | 0 | #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y))) | |
| cost-diff | 0 | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y)))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)) | |
| cost-diff | 0 | #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y))) | |
| cost-diff | 0 | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)))) | |
| cost-diff | 0 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) | |
| cost-diff | 0 | (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)) | |
| cost-diff | 0 | (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))) | |
| cost-diff | 0 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 770 |
| 0 | 106 | 770 |
| 1 | 173 | 766 |
| 2 | 369 | 688 |
| 3 | 1396 | 688 |
| 4 | 5378 | 688 |
| 0 | 8250 | 647 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))) |
x |
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))) |
y |
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)) |
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) |
#s(literal 5641895835477563/5000000000000000 binary64) |
#s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
z |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 x y) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
x |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y))) |
#s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)) |
(*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y) |
#s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) |
#s(literal 5000000000000000/5641895835477563 binary64) |
y |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y)))) |
x |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y))) |
#s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y)) |
(*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y) |
#s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) |
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) |
#s(literal -5000000000000000/5641895835477563 binary64) |
z |
y |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
x |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))) |
y |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) |
(*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 x y) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
x |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
(/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
#s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) |
(*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y) |
(-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) |
(*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) |
#s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) |
z |
y |
(*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 y x) |
| Outputs |
|---|
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))) |
(+.f64 (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) x) |
x |
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))) |
(/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) |
y |
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)) |
(fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y)) |
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(literal 5641895835477563/5000000000000000 binary64) |
#s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
z |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 x y) |
(*.f64 y x) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
(+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y))) x) |
x |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y))) |
#s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)) |
(*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y) |
#s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) |
#s(literal 5000000000000000/5641895835477563 binary64) |
y |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y)))) |
(+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y))) x) |
x |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y))) |
#s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y)) |
(*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y) |
#s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) |
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) |
#s(literal -5000000000000000/5641895835477563 binary64) |
z |
y |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
(+.f64 (/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) x) |
x |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))) |
(/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
y |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) |
(fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) |
(*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 x y) |
(*.f64 y x) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64)))) x) |
x |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64)))) |
(/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) |
#s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) |
(*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y) |
(-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) |
(*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) |
#s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) |
z |
y |
(*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64)) |
(*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(*.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) (neg.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) |
(neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) |
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) |
(neg.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 y x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.654628759768442 | (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) | |
| accuracy | 20.28157595263006 | (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) | |
| accuracy | 23.9686260511564 | #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) | |
| accuracy | 29.44244178814141 | #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) | |
| accuracy | 0.6015625000000001 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) | |
| accuracy | 6.34149973257644 | (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))) | |
| accuracy | 29.024869983476215 | #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) | |
| accuracy | 33.85287713382368 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) | |
| accuracy | 0.390625 | (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) | |
| accuracy | 26.467364275373573 | #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y)) | |
| accuracy | 28.861452296309423 | #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) | |
| accuracy | 29.44244178814141 | #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y))) | |
| accuracy | 0.3046875 | (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y) | |
| accuracy | 26.467364275373573 | #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)) | |
| accuracy | 29.44244178814141 | #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y))) | |
| accuracy | 34.31845592433694 | #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) | |
| accuracy | 0.1796875 | (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) | |
| accuracy | 0.6015625000000001 | (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)) | |
| accuracy | 6.34149973257644 | (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))) | |
| accuracy | 23.99394637878547 | #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) |
| 162.0ms | 256× | 0 | valid |
Compiled 397 to 49 computations (87.7% saved)
const: 52.0ms (48% of total)ival-mult: 34.0ms (31.4% of total)ival-add: 9.0ms (8.3% of total)ival-div: 6.0ms (5.5% of total)ival-sub: 3.0ms (2.8% of total)ival-exp: 2.0ms (1.8% of total)ival-neg: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))) |
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))) |
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)) |
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y))) |
#s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)) |
(*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y)))) |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y))) |
#s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y)) |
(*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))) |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) |
(*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
#s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) |
#s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) |
#s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) |
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) |
#s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) |
#s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) |
(/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
| Outputs |
|---|
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(* 5641895835477563/5000000000000000 (exp z)) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(* 5000000000000000/5641895835477563 (+ y (* -1 (* y z)))) |
(+ (* 5000000000000000/5641895835477563 (+ y (* -1 (* y z)))) (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z)))))))) |
(+ (* 5000000000000000/5641895835477563 (+ y (* -1 (* y z)))) (* x (- (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* x (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow y 3) z)) (* -5000000000000000/5641895835477563 (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z))))))))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z)))))))) |
(+ (* 5000000000000000/5641895835477563 (+ y (* -1 (* y z)))) (* x (- (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* x (- (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow y 3) z)) (* x (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 4) z)) (* -5000000000000000/5641895835477563 (* y (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow y 3) z)) (* -5000000000000000/5641895835477563 (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z)))))))))))))) (* -5000000000000000/5641895835477563 (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z))))))))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z)))))))) |
-179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 |
(- (* x (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y))) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) |
(- (* x (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (+ (* 31830988618379068626528276418969/12500000000000000000000000000000 y) (* x (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))))))) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) |
(- (* x (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (+ (* 31830988618379068626528276418969/12500000000000000000000000000000 y) (* x (+ (* -5641895835477563/2500000000000000 (pow y 2)) (+ (* -5641895835477563/5000000000000000 (pow y 2)) (* x (pow y 3)))))))) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) |
-5641895835477563/5000000000000000 |
(- (* x y) 5641895835477563/5000000000000000) |
(+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))) |
(+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z)) (* x (+ (* -5641895835477563/5000000000000000 (* (pow y 2) z)) (* 5641895835477563/2500000000000000 (pow y 2)))))) |
(+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z)) (* x (+ (* -5641895835477563/5000000000000000 (* (pow y 2) z)) (+ (* -1 (* x (pow y 3))) (* 5641895835477563/2500000000000000 (pow y 2))))))) |
(* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z)))) |
(+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z)))) (* x (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* (pow y 2) z)) (* 5641895835477563/2500000000000000 (pow y 2)))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y))))))) |
(+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z)))) (* x (- (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* (pow y 2) z)) (* 5641895835477563/2500000000000000 (pow y 2)))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3)) (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y)) (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* (pow y 2) z)) (* 5641895835477563/2500000000000000 (pow y 2)))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y))))))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))))))))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y))))))) |
(+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z)))) (* x (- (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* (pow y 2) z)) (* 5641895835477563/2500000000000000 (pow y 2)))) (* x (- (+ (* -1 (* x (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* (pow y 2) z)) (* 5641895835477563/2500000000000000 (pow y 2)))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y))))))) (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y)) (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3)) (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y)) (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* (pow y 2) z)) (* 5641895835477563/2500000000000000 (pow y 2)))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y))))))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))))))))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (pow y 3) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))))))))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3))) (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y)) (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* (pow y 2) z)) (* 5641895835477563/2500000000000000 (pow y 2)))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y))))))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))))))))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y))))))) |
-31830988618379068626528276418969/25000000000000000000000000000000 |
(- (* 5641895835477563/2500000000000000 (* x y)) 31830988618379068626528276418969/25000000000000000000000000000000) |
(- (* x (+ (* -1 (* x (pow y 2))) (* 5641895835477563/2500000000000000 y))) 31830988618379068626528276418969/25000000000000000000000000000000) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))))) |
(/ -1 x) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x) |
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x) |
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x) |
(* -1 (* x y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(/ (- (* -5641895835477563/5000000000000000 (/ z (* x y))) (+ 1 (/ 5641895835477563/5000000000000000 (* x y)))) x) |
(/ (- (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ z (* x y)))) (+ 1 (+ (* -5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) (* (pow x 2) y))) (/ 5641895835477563/5000000000000000 (* x y))))) x) |
(/ (- (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* (pow x 3) (pow y 3)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ z (* x y))))) (+ 1 (+ (* -5641895835477563/5000000000000000 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 2))) (* -5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) y))) (* (pow x 3) y))) (+ (* -5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) (* (pow x 2) y))) (/ 5641895835477563/5000000000000000 (* x y)))))) x) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (+ (* -5641895835477563/2500000000000000 (/ (pow y 2) x)) (+ (* -5641895835477563/5000000000000000 (/ (pow y 2) x)) (pow y 3)))) |
(* (pow x 3) (+ (* -5641895835477563/2500000000000000 (/ (pow y 2) x)) (+ (* -5641895835477563/5000000000000000 (/ (pow y 2) x)) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow x 2))) (+ (* 31830988618379068626528276418969/12500000000000000000000000000000 (/ y (pow x 2))) (pow y 3)))))) |
(* (pow x 3) (- (+ (* -5641895835477563/2500000000000000 (/ (pow y 2) x)) (+ (* -5641895835477563/5000000000000000 (/ (pow y 2) x)) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow x 2))) (+ (* 31830988618379068626528276418969/12500000000000000000000000000000 (/ y (pow x 2))) (pow y 3))))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (pow x 3))))) |
(* x y) |
(* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))) |
(* -1 (* (pow x 2) (pow y 3))) |
(* (pow x 2) (+ (* -5641895835477563/5000000000000000 (/ (* (pow y 2) z) x)) (+ (* -1 (pow y 3)) (* 5641895835477563/2500000000000000 (/ (pow y 2) x))))) |
(* (pow x 2) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow x 2))) (+ (* -5641895835477563/5000000000000000 (/ (* (pow y 2) z) x)) (+ (* -1 (pow y 3)) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (* y z) (pow x 2))) (* 5641895835477563/2500000000000000 (/ (pow y 2) x))))))) |
(/ (- (+ (* -5641895835477563/5000000000000000 (/ z (* x y))) (/ 5641895835477563/2500000000000000 (* x y))) (+ 1 (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (* x (pow y 3)))))) x) |
(/ (- (+ (* -5641895835477563/5000000000000000 (/ z (* x y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) (pow y 2)))) (/ 5641895835477563/2500000000000000 (* x y)))) (+ 1 (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (* x (pow y 3)))) (+ (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y)) (* (pow x 2) (pow y 3)))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 2) (pow y 2)))) (/ (* (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (- (+ (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/2500000000000000 (/ 1 y))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3))))) (* (pow x 2) (pow y 3)))))))) x) |
(/ (- (+ (* -5641895835477563/5000000000000000 (/ z (* x y))) (+ (* -1 (/ (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (pow y 3))) (+ (/ (* (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 2))) (+ (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y)) (pow y 3))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))) (/ (* (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (- (+ (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/2500000000000000 (/ 1 y))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3))))) (pow y 3)))))) (pow y 3)) (/ (* (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y)) (- (+ (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/2500000000000000 (/ 1 y))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3))))) (pow y 3)))) (pow x 3))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) (pow y 2)))) (/ 5641895835477563/2500000000000000 (* x y))))) (+ 1 (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (* x (pow y 3)))) (+ (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y)) (* (pow x 2) (pow y 3)))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 2) (pow y 2)))) (/ (* (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (- (+ (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/2500000000000000 (/ 1 y))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3))))) (* (pow x 2) (pow y 3)))))))) x) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (* 5641895835477563/2500000000000000 (/ y x)))) |
(* (pow x 2) (- (+ (* -1 (pow y 2)) (* 5641895835477563/2500000000000000 (/ y x))) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (pow x 2)))) |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -5641895835477563/5000000000000000 (/ z y)) (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 2))) (* 5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) y))) x))) (* 5641895835477563/5000000000000000 (/ 1 y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -5641895835477563/5000000000000000 (/ z y)) (* -1 (/ (- (+ (* -1 (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (pow y 3))) (* 5641895835477563/5000000000000000 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 2))) (* 5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) y))) y))) x)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) y))) x))) (* 5641895835477563/5000000000000000 (/ 1 y))) x))) x)) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) x)) (* -1 (pow y 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (+ (* -5641895835477563/5000000000000000 (pow y 2)) (* -1 (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 y) (* -31830988618379068626528276418969/25000000000000000000000000000000 y)) x)))) x)) (* -1 (pow y 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (+ (* -5641895835477563/5000000000000000 (pow y 2)) (* -1 (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 y) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 x)))) x)))) x)) (* -1 (pow y 3))))) |
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* 5641895835477563/5000000000000000 (* (pow y 2) z))) x)) (* -1 (pow y 3)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))) x)) (* 5641895835477563/5000000000000000 (* (pow y 2) z)))) x)) (* -1 (pow y 3)))) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* 5641895835477563/5000000000000000 (* (pow y 2) z))) (pow y 3))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3)))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* 5641895835477563/5000000000000000 (* (pow y 2) z))) (pow y 3))) (* -1 (/ (- (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))) (pow y 3))) (+ (* -1 (/ (* (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (- (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* 5641895835477563/5000000000000000 (* (pow y 2) z))) (pow y 3))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3))))) (pow y 3))) (* -1 (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 y) (* -31830988618379068626528276418969/25000000000000000000000000000000 y)) (pow y 3))))) x))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3)))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* 5641895835477563/5000000000000000 (* (pow y 2) z))) (pow y 3))) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 y) (* -31830988618379068626528276418969/25000000000000000000000000000000 y)) (- (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* 5641895835477563/5000000000000000 (* (pow y 2) z))) (pow y 3))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3))))) (* x (pow y 3)))) (+ (* -1 (/ (* (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (- (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))) (pow y 3))) (+ (* -1 (/ (* (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (- (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* 5641895835477563/5000000000000000 (* (pow y 2) z))) (pow y 3))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3))))) (pow y 3))) (* -1 (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 y) (* -31830988618379068626528276418969/25000000000000000000000000000000 y)) (pow y 3)))))) (* x (pow y 3)))) (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))) (pow y 3))) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* x (pow y 3)))))) (+ (* -1 (/ (* (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (- (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* 5641895835477563/5000000000000000 (* (pow y 2) z))) (pow y 3))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3))))) (pow y 3))) (* -1 (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 y) (* -31830988618379068626528276418969/25000000000000000000000000000000 y)) (pow y 3))))) x))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3)))) x))) x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 x))) x)) (* -1 (pow y 2)))) |
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))) |
(+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))) |
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))) |
(* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))) |
(* y (+ (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* (pow x 3) y) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow x 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))) |
(* 5000000000000000/5641895835477563 (* y (+ 1 (* -1 z)))) |
(* y (+ (* 5000000000000000/5641895835477563 (+ 1 (* -1 z))) (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (+ 1 (* -1 z)))))))) |
(* y (+ (* 5000000000000000/5641895835477563 (+ 1 (* -1 z))) (* y (- (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x z)) (* y (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) z)) (* -5000000000000000/5641895835477563 (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (+ 1 (* -1 z)))))))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (+ 1 (* -1 z)))))))) |
(* y (+ (* 5000000000000000/5641895835477563 (+ 1 (* -1 z))) (* y (- (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x z)) (* y (- (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) z)) (* y (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 3) z)) (* -5000000000000000/5641895835477563 (* x (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) z)) (* -5000000000000000/5641895835477563 (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (+ 1 (* -1 z))))))))))))) (* -5000000000000000/5641895835477563 (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (+ 1 (* -1 z)))))))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (+ 1 (* -1 z)))))))) |
(* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))) |
(- (* y (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (* 31830988618379068626528276418969/12500000000000000000000000000000 x))) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) |
(- (* y (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (+ (* 31830988618379068626528276418969/12500000000000000000000000000000 x) (* y (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))))))) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) |
(- (* y (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (+ (* 31830988618379068626528276418969/12500000000000000000000000000000 x) (* y (+ (* -5641895835477563/2500000000000000 (pow x 2)) (+ (* -5641895835477563/5000000000000000 (pow x 2)) (* (pow x 3) y))))))) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) |
(* y (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000)) |
(* y (- (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 z) (* y (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x)))) 31830988618379068626528276418969/25000000000000000000000000000000)) |
(* y (- (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 z) (* y (+ (* -5641895835477563/5000000000000000 (* x z)) (+ (* -1 (* (pow x 2) y)) (* 5641895835477563/2500000000000000 x))))) 31830988618379068626528276418969/25000000000000000000000000000000)) |
(* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* y (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000))) |
(* y (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000)) (* y (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (* 31830988618379068626528276418969/12500000000000000000000000000000 x)) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000))))))) |
(* y (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000)) (* y (- (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x))) (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow x 2)) (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (* 31830988618379068626528276418969/12500000000000000000000000000000 x)) (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (* 31830988618379068626528276418969/12500000000000000000000000000000 x)) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000)))))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000))))))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (* 31830988618379068626528276418969/12500000000000000000000000000000 x)) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000))))))) |
(* y (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000)) (* y (- (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x))) (* y (- (+ (* -1 (* y (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x))) (* 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(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x)) |
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(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) y)) (* -1 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow x 2)) (+ (* -5641895835477563/5000000000000000 (pow x 2)) (* -1 (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 x) (* -31830988618379068626528276418969/25000000000000000000000000000000 x)) y)))) y)) (* -1 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow x 2)) (+ (* -5641895835477563/5000000000000000 (pow x 2)) (* -1 (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 x) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 x) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 y)))) y)))) y)) (* -1 (pow x 3))))) |
(* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x)) y)) (pow x 2)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -5641895835477563/5000000000000000 (* x z)) (+ (* -1 (/ (+ 31830988618379068626528276418969/25000000000000000000000000000000 (* -31830988618379068626528276418969/25000000000000000000000000000000 z)) y)) (* 5641895835477563/2500000000000000 x))) y)) (pow x 2)))) |
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(* (pow y 2) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 x) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 y))) y)) (* -1 (pow x 2)))) |
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
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(/ y (- 5641895835477563/5000000000000000 (* x y))) |
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(- 5641895835477563/5000000000000000 (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y)) |
5641895835477563/5000000000000000 |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(* 5000000000000000/5641895835477563 y) |
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y)) |
1 |
(+ 1 z) |
(+ 1 (* z (+ 1 (* 1/2 z)))) |
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) |
1/2 |
(+ 1/2 (* 1/6 z)) |
5000000000000000/5641895835477563 |
(+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)) |
(* -5000000000000000/5641895835477563 z) |
(* y (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000))) |
(+ (* 5641895835477563/5000000000000000 (* y (* z (- 5641895835477563/5000000000000000 (* x y))))) (* y (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000)))) |
(+ (* 5641895835477563/5000000000000000 (/ (* y z) (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000)))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) |
(* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (* z (- 5641895835477563/5000000000000000 (* x y)))))) |
(* -5000000000000000/5641895835477563 (* y z)) |
(* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z)))) |
(exp z) |
(* 1/6 z) |
(* z (+ 1/6 (* 1/2 (/ 1 z)))) |
(* z (- (* 5000000000000000/5641895835477563 (/ 1 z)) 5000000000000000/5641895835477563)) |
(* 5641895835477563/5000000000000000 z) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* 5641895835477563/5000000000000000 (* y (* z (- 5641895835477563/5000000000000000 (* x y))))) |
(* z (+ (* 5641895835477563/5000000000000000 (* y (- 5641895835477563/5000000000000000 (* x y)))) (/ (* y (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000))) z))) |
(* 5641895835477563/5000000000000000 (/ (* y z) (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000)))) |
(* z (+ (* 5641895835477563/5000000000000000 (/ y (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000)))) (/ y (* z (- 5641895835477563/5000000000000000 (* x y)))))) |
(* -1 (* z (+ (* -1 (/ y (* z (- 5641895835477563/5000000000000000 (* x y))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) |
(* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)))) |
(* -1 (* z (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z))))) |
(* -1 (* z (+ (* -5641895835477563/5000000000000000 (* y (- 5641895835477563/5000000000000000 (* x y)))) (* -1 (/ (* y (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000))) z))))) |
(* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ y (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000)))) (* -1 (/ y (* z (- 5641895835477563/5000000000000000 (* x y)))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | x | @ | -inf | ((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (neg (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (exp z) (+ (* 1/6 z) 1/2) (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (* -5000000000000000/5641895835477563 z) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (/ (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x)))) (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x)))) |
| 3.0ms | z | @ | inf | ((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (neg (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (exp z) (+ (* 1/6 z) 1/2) (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (* -5000000000000000/5641895835477563 z) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (/ (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x)))) (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x)))) |
| 3.0ms | z | @ | -inf | ((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (neg (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (exp z) (+ (* 1/6 z) 1/2) (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (* -5000000000000000/5641895835477563 z) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (/ (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x)))) (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x)))) |
| 2.0ms | z | @ | 0 | ((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (neg (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (exp z) (+ (* 1/6 z) 1/2) (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (* -5000000000000000/5641895835477563 z) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (/ (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x)))) (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x)))) |
| 2.0ms | y | @ | -inf | ((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (neg (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (exp z) (+ (* 1/6 z) 1/2) (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (* -5000000000000000/5641895835477563 z) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (/ (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x)))) (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1117 | 5917 |
| 1 | 3924 | 5730 |
| 0 | 8092 | 5402 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(* 5641895835477563/5000000000000000 (exp z)) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(* 5000000000000000/5641895835477563 (+ y (* -1 (* y z)))) |
(+ (* 5000000000000000/5641895835477563 (+ y (* -1 (* y z)))) (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z)))))))) |
(+ (* 5000000000000000/5641895835477563 (+ y (* -1 (* y z)))) (* x (- (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* x (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow y 3) z)) (* -5000000000000000/5641895835477563 (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z))))))))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z)))))))) |
(+ (* 5000000000000000/5641895835477563 (+ y (* -1 (* y z)))) (* x (- (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* x (- (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow y 3) z)) (* x (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 4) z)) (* -5000000000000000/5641895835477563 (* y (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow y 3) z)) (* -5000000000000000/5641895835477563 (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z)))))))))))))) (* -5000000000000000/5641895835477563 (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z))))))))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* y (+ y (* -1 (* y z)))))))) |
-179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 |
(- (* x (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y))) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) |
(- (* x (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (+ (* 31830988618379068626528276418969/12500000000000000000000000000000 y) (* x (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))))))) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) |
(- (* x (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (+ (* 31830988618379068626528276418969/12500000000000000000000000000000 y) (* x (+ (* -5641895835477563/2500000000000000 (pow y 2)) (+ (* -5641895835477563/5000000000000000 (pow y 2)) (* x (pow y 3)))))))) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) |
-5641895835477563/5000000000000000 |
(- (* x y) 5641895835477563/5000000000000000) |
(+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))) |
(+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z)) (* x (+ (* -5641895835477563/5000000000000000 (* (pow y 2) z)) (* 5641895835477563/2500000000000000 (pow y 2)))))) |
(+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z)) (* x (+ (* -5641895835477563/5000000000000000 (* (pow y 2) z)) (+ (* -1 (* x (pow y 3))) (* 5641895835477563/2500000000000000 (pow y 2))))))) |
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-31830988618379068626528276418969/25000000000000000000000000000000 |
(- (* 5641895835477563/2500000000000000 (* x y)) 31830988618379068626528276418969/25000000000000000000000000000000) |
(- (* x (+ (* -1 (* x (pow y 2))) (* 5641895835477563/2500000000000000 y))) 31830988618379068626528276418969/25000000000000000000000000000000) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))))) |
(/ -1 x) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x) |
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x) |
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x) |
(* -1 (* x y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(/ (- (* -5641895835477563/5000000000000000 (/ z (* x y))) (+ 1 (/ 5641895835477563/5000000000000000 (* x y)))) x) |
(/ (- (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ z (* x y)))) (+ 1 (+ (* -5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) (* (pow x 2) y))) (/ 5641895835477563/5000000000000000 (* x y))))) x) |
(/ (- (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* (pow x 3) (pow y 3)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ z (* x y))))) (+ 1 (+ (* -5641895835477563/5000000000000000 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 2))) (* -5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) y))) (* (pow x 3) y))) (+ (* -5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) (* (pow x 2) y))) (/ 5641895835477563/5000000000000000 (* x y)))))) x) |
(* (pow x 3) (pow y 3)) |
(* (pow x 3) (+ (* -5641895835477563/2500000000000000 (/ (pow y 2) x)) (+ (* -5641895835477563/5000000000000000 (/ (pow y 2) x)) (pow y 3)))) |
(* (pow x 3) (+ (* -5641895835477563/2500000000000000 (/ (pow y 2) x)) (+ (* -5641895835477563/5000000000000000 (/ (pow y 2) x)) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow x 2))) (+ (* 31830988618379068626528276418969/12500000000000000000000000000000 (/ y (pow x 2))) (pow y 3)))))) |
(* (pow x 3) (- (+ (* -5641895835477563/2500000000000000 (/ (pow y 2) x)) (+ (* -5641895835477563/5000000000000000 (/ (pow y 2) x)) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow x 2))) (+ (* 31830988618379068626528276418969/12500000000000000000000000000000 (/ y (pow x 2))) (pow y 3))))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (pow x 3))))) |
(* x y) |
(* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))) |
(* -1 (* (pow x 2) (pow y 3))) |
(* (pow x 2) (+ (* -5641895835477563/5000000000000000 (/ (* (pow y 2) z) x)) (+ (* -1 (pow y 3)) (* 5641895835477563/2500000000000000 (/ (pow y 2) x))))) |
(* (pow x 2) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow x 2))) (+ (* -5641895835477563/5000000000000000 (/ (* (pow y 2) z) x)) (+ (* -1 (pow y 3)) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (* y z) (pow x 2))) (* 5641895835477563/2500000000000000 (/ (pow y 2) x))))))) |
(/ (- (+ (* -5641895835477563/5000000000000000 (/ z (* x y))) (/ 5641895835477563/2500000000000000 (* x y))) (+ 1 (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (* x (pow y 3)))))) x) |
(/ (- (+ (* -5641895835477563/5000000000000000 (/ z (* x y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) (pow y 2)))) (/ 5641895835477563/2500000000000000 (* x y)))) (+ 1 (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (* x (pow y 3)))) (+ (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y)) (* (pow x 2) (pow y 3)))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 2) (pow y 2)))) (/ (* (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (- (+ (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/2500000000000000 (/ 1 y))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3))))) (* (pow x 2) (pow y 3)))))))) x) |
(/ (- (+ (* -5641895835477563/5000000000000000 (/ z (* x y))) (+ (* -1 (/ (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (pow y 3))) (+ (/ (* (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 2))) (+ (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y)) (pow y 3))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))) (/ (* (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (- (+ (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/2500000000000000 (/ 1 y))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3))))) (pow y 3)))))) (pow y 3)) (/ (* (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y)) (- (+ (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/2500000000000000 (/ 1 y))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3))))) (pow y 3)))) (pow x 3))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 2) (pow y 2)))) (/ 5641895835477563/2500000000000000 (* x y))))) (+ 1 (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (* x (pow y 3)))) (+ (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/12500000000000000000000000000000 y)) (* (pow x 2) (pow y 3)))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 2) (pow y 2)))) (/ (* (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (- (+ (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/2500000000000000 (/ 1 y))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3))))) (* (pow x 2) (pow y 3)))))))) x) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (* -1 (pow y 2)) (* 5641895835477563/2500000000000000 (/ y x)))) |
(* (pow x 2) (- (+ (* -1 (pow y 2)) (* 5641895835477563/2500000000000000 (/ y x))) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (pow x 2)))) |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -5641895835477563/5000000000000000 (/ z y)) (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 2))) (* 5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) y))) x))) (* 5641895835477563/5000000000000000 (/ 1 y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -5641895835477563/5000000000000000 (/ z y)) (* -1 (/ (- (+ (* -1 (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (pow y 3))) (* 5641895835477563/5000000000000000 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 2))) (* 5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) y))) y))) x)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) y))) x))) (* 5641895835477563/5000000000000000 (/ 1 y))) x))) x)) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) x)) (* -1 (pow y 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (+ (* -5641895835477563/5000000000000000 (pow y 2)) (* -1 (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 y) (* -31830988618379068626528276418969/25000000000000000000000000000000 y)) x)))) x)) (* -1 (pow y 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (+ (* -5641895835477563/5000000000000000 (pow y 2)) (* -1 (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 y) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 x)))) x)))) x)) (* -1 (pow y 3))))) |
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* 5641895835477563/5000000000000000 (* (pow y 2) z))) x)) (* -1 (pow y 3)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))) x)) (* 5641895835477563/5000000000000000 (* (pow y 2) z)))) x)) (* -1 (pow y 3)))) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* 5641895835477563/5000000000000000 (* (pow y 2) z))) (pow y 3))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3)))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* 5641895835477563/5000000000000000 (* (pow y 2) z))) (pow y 3))) (* -1 (/ (- (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))) (pow y 3))) (+ (* -1 (/ (* (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (- (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* 5641895835477563/5000000000000000 (* (pow y 2) z))) (pow y 3))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3))))) (pow y 3))) (* -1 (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 y) (* -31830988618379068626528276418969/25000000000000000000000000000000 y)) (pow y 3))))) x))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3)))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* 5641895835477563/5000000000000000 (* (pow y 2) z))) (pow y 3))) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 y) (* -31830988618379068626528276418969/25000000000000000000000000000000 y)) (- (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* 5641895835477563/5000000000000000 (* (pow y 2) z))) (pow y 3))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3))))) (* x (pow y 3)))) (+ (* -1 (/ (* (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (- (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))) (pow y 3))) (+ (* -1 (/ (* (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (- (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* 5641895835477563/5000000000000000 (* (pow y 2) z))) (pow y 3))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3))))) (pow y 3))) (* -1 (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 y) (* -31830988618379068626528276418969/25000000000000000000000000000000 y)) (pow y 3)))))) (* x (pow y 3)))) (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (* y z))) (pow y 3))) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* x (pow y 3)))))) (+ (* -1 (/ (* (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (- (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* 5641895835477563/5000000000000000 (* (pow y 2) z))) (pow y 3))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3))))) (pow y 3))) (* -1 (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 y) (* -31830988618379068626528276418969/25000000000000000000000000000000 y)) (pow y 3))))) x))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow y 2)) (* -5641895835477563/5000000000000000 (pow y 2))) (pow y 3)))) x))) x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 x))) x)) (* -1 (pow y 2)))) |
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))) |
(+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))) |
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))) |
(* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))) |
(* y (+ (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* (pow x 3) y) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow x 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))) |
(* 5000000000000000/5641895835477563 (* y (+ 1 (* -1 z)))) |
(* y (+ (* 5000000000000000/5641895835477563 (+ 1 (* -1 z))) (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (+ 1 (* -1 z)))))))) |
(* y (+ (* 5000000000000000/5641895835477563 (+ 1 (* -1 z))) (* y (- (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x z)) (* y (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) z)) (* -5000000000000000/5641895835477563 (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (+ 1 (* -1 z)))))))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (+ 1 (* -1 z)))))))) |
(* y (+ (* 5000000000000000/5641895835477563 (+ 1 (* -1 z))) (* y (- (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x z)) (* y (- (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) z)) (* y (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 3) z)) (* -5000000000000000/5641895835477563 (* x (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) z)) (* -5000000000000000/5641895835477563 (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (+ 1 (* -1 z))))))))))))) (* -5000000000000000/5641895835477563 (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x z)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (+ 1 (* -1 z)))))))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (+ 1 (* -1 z)))))))) |
(* y (+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))) |
(- (* y (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (* 31830988618379068626528276418969/12500000000000000000000000000000 x))) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) |
(- (* y (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (+ (* 31830988618379068626528276418969/12500000000000000000000000000000 x) (* y (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))))))) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) |
(- (* y (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (+ (* 31830988618379068626528276418969/12500000000000000000000000000000 x) (* y (+ (* -5641895835477563/2500000000000000 (pow x 2)) (+ (* -5641895835477563/5000000000000000 (pow x 2)) (* (pow x 3) y))))))) 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000) |
(* y (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000)) |
(* y (- (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 z) (* y (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x)))) 31830988618379068626528276418969/25000000000000000000000000000000)) |
(* y (- (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 z) (* y (+ (* -5641895835477563/5000000000000000 (* x z)) (+ (* -1 (* (pow x 2) y)) (* 5641895835477563/2500000000000000 x))))) 31830988618379068626528276418969/25000000000000000000000000000000)) |
(* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* y (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000))) |
(* y (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000)) (* y (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (* 31830988618379068626528276418969/12500000000000000000000000000000 x)) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000))))))) |
(* y (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000)) (* y (- (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x))) (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow x 2)) (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (* 31830988618379068626528276418969/12500000000000000000000000000000 x)) (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (* 31830988618379068626528276418969/12500000000000000000000000000000 x)) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000)))))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000))))))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (* 31830988618379068626528276418969/12500000000000000000000000000000 x)) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000))))))) |
(* y (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000)) (* y (- (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x))) (* y (- (+ (* -1 (* y (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x))) (* 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15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000))))))) (* 15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209 (* (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (* 31830988618379068626528276418969/12500000000000000000000000000000 x)) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 z) 31830988618379068626528276418969/25000000000000000000000000000000))))))) |
(- (* y (+ (* -1 (* (pow x 2) y)) (* 5641895835477563/2500000000000000 x))) 31830988618379068626528276418969/25000000000000000000000000000000) |
(- x (/ 1 x)) |
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x)) |
(- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))) |
(- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x)))) |
(- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)) |
(- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))) |
(- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x)))) |
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x)) |
(- (* -5641895835477563/5000000000000000 (/ z (* (pow x 2) y))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y)))) |
(- (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 3) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ z (* (pow x 2) y)))) (+ (* -5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) (* x (pow y 2)))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))) |
(- (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (* (pow x 4) (pow y 3)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 3) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ z (* (pow x 2) y))))) (+ (* -5641895835477563/5000000000000000 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 3))) (* -5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) x))) (* x (pow y 3)))) (+ (* -5641895835477563/5000000000000000 (/ (- (* -5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) (* x (pow y 2)))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y)))))) |
(* (pow y 3) (+ (* -5641895835477563/2500000000000000 (/ (pow x 2) y)) (+ (* -5641895835477563/5000000000000000 (/ (pow x 2) y)) (pow x 3)))) |
(* (pow y 3) (+ (* -5641895835477563/2500000000000000 (/ (pow x 2) y)) (+ (* -5641895835477563/5000000000000000 (/ (pow x 2) y)) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ x (pow y 2))) (+ (* 31830988618379068626528276418969/12500000000000000000000000000000 (/ x (pow y 2))) (pow x 3)))))) |
(* (pow y 3) (- (+ (* -5641895835477563/2500000000000000 (/ (pow x 2) y)) (+ (* -5641895835477563/5000000000000000 (/ (pow x 2) y)) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ x (pow y 2))) (+ (* 31830988618379068626528276418969/12500000000000000000000000000000 (/ x (pow y 2))) (pow x 3))))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (pow y 3))))) |
(* y (- x (* 5641895835477563/5000000000000000 (/ 1 y)))) |
(* (pow y 3) (+ (* -5641895835477563/5000000000000000 (/ (* x z) y)) (+ (* -1 (pow x 2)) (* 5641895835477563/2500000000000000 (/ x y))))) |
(* (pow y 3) (- (+ (* -5641895835477563/5000000000000000 (/ (* x z) y)) (+ (* -1 (pow x 2)) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 2))) (* 5641895835477563/2500000000000000 (/ x y))))) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (pow y 2)))) |
(- (+ (* -5641895835477563/5000000000000000 (/ z (* (pow x 2) y))) (/ 5641895835477563/2500000000000000 (* (pow x 2) y))) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (* (pow x 4) y))) (/ 1 x))) |
(- (+ (* -5641895835477563/5000000000000000 (/ z (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 3) (pow y 2)))) (/ 5641895835477563/2500000000000000 (* (pow x 2) y)))) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (* (pow x 4) y))) (+ (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (* 31830988618379068626528276418969/12500000000000000000000000000000 x)) (* (pow x 4) (pow y 2)))) (+ (/ 1 x) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) (pow y 2)))) (/ (* (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (- (+ (* -5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/2500000000000000 (/ 1 (pow x 2)))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (pow x 4))))) (* (pow x 3) (pow y 2)))))))) |
(- (+ (* -5641895835477563/5000000000000000 (/ z (* (pow x 2) y))) (+ (* -1 (/ (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (pow x 4))) (+ (/ (* (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 3))) (+ (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (* 31830988618379068626528276418969/12500000000000000000000000000000 x)) (pow x 4))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3))) (/ (* (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (- (+ (* -5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/2500000000000000 (/ 1 (pow x 2)))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (pow x 4))))) (pow x 3)))))) (pow x 3)) (/ (* (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (* 31830988618379068626528276418969/12500000000000000000000000000000 x)) (- (+ (* -5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/2500000000000000 (/ 1 (pow x 2)))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (pow x 4))))) (pow x 3)))) (pow y 3))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (* (pow x 3) (pow y 2)))) (/ 5641895835477563/2500000000000000 (* (pow x 2) y))))) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (* (pow x 4) y))) (+ (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 x) (* 31830988618379068626528276418969/12500000000000000000000000000000 x)) (* (pow x 4) (pow y 2)))) (+ (/ 1 x) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) (pow y 2)))) (/ (* (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (- (+ (* -5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/2500000000000000 (/ 1 (pow x 2)))) (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (pow x 4))))) (* (pow x 3) (pow y 2)))))))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (* 5641895835477563/2500000000000000 (/ x y)))) |
(* (pow y 2) (- (+ (* -1 (pow x 2)) (* 5641895835477563/2500000000000000 (/ x y))) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (pow y 2)))) |
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x)) |
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x)) |
(- (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x)) |
(- (* -1 (/ (- (* -1 (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x)) |
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x)))) |
(- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y)) (/ 1 x)) |
(- (* -1 (/ (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 3))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) x))) y)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 5641895835477563/5000000000000000 (/ z (pow x 2))))) y)) (/ 1 x)) |
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 3))) (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ z (pow x 4))) (* 5641895835477563/5000000000000000 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 3))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) x))) x))) y))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) x))) y)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 5641895835477563/5000000000000000 (/ z (pow x 2))))) y)) (/ 1 x)) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) y)) (* -1 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow x 2)) (+ (* -5641895835477563/5000000000000000 (pow x 2)) (* -1 (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 x) (* -31830988618379068626528276418969/25000000000000000000000000000000 x)) y)))) y)) (* -1 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 (pow x 2)) (+ (* -5641895835477563/5000000000000000 (pow x 2)) (* -1 (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 x) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 x) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 y)))) y)))) y)) (* -1 (pow x 3))))) |
(* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x)) y)) (pow x 2)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -5641895835477563/5000000000000000 (* x z)) (+ (* -1 (/ (+ 31830988618379068626528276418969/25000000000000000000000000000000 (* -31830988618379068626528276418969/25000000000000000000000000000000 z)) y)) (* 5641895835477563/2500000000000000 x))) y)) (pow x 2)))) |
(- (* -1 (/ (+ (* -1 (/ (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x)) (pow x 3))) (* 16925687506432689/5000000000000000 (/ 1 (pow x 2)))) y)) (/ 1 x)) |
(- (* -1 (/ (+ (* -1 (/ (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x)) (pow x 3))) (+ (* -1 (/ (- (+ (* -1 (/ (+ 31830988618379068626528276418969/25000000000000000000000000000000 (* -31830988618379068626528276418969/25000000000000000000000000000000 z)) (pow x 3))) (* 95492965855137205879584829256907/25000000000000000000000000000000 (/ 1 (pow x 3)))) (* -1 (/ (* (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (+ (* -1 (/ (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x)) (pow x 3))) (* 16925687506432689/5000000000000000 (/ 1 (pow x 2))))) (pow x 3)))) y)) (* 16925687506432689/5000000000000000 (/ 1 (pow x 2))))) y)) (/ 1 x)) |
(- (* -1 (/ (+ (* -1 (/ (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x)) (pow x 3))) (+ (* -1 (/ (- (+ (* -1 (/ (+ 31830988618379068626528276418969/25000000000000000000000000000000 (* -31830988618379068626528276418969/25000000000000000000000000000000 z)) (pow x 3))) (+ (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (pow x 4))) (+ (* -1 (/ (* (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 x) (* -31830988618379068626528276418969/25000000000000000000000000000000 x)) (+ (* -1 (/ (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x)) (pow x 3))) (* 16925687506432689/5000000000000000 (/ 1 (pow x 2))))) (pow x 3))) (* -1 (/ (* (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (- (+ (* -1 (/ (+ 31830988618379068626528276418969/25000000000000000000000000000000 (* -31830988618379068626528276418969/25000000000000000000000000000000 z)) (pow x 3))) (* 95492965855137205879584829256907/25000000000000000000000000000000 (/ 1 (pow x 3)))) (* -1 (/ (* (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (+ (* -1 (/ (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x)) (pow x 3))) (* 16925687506432689/5000000000000000 (/ 1 (pow x 2))))) (pow x 3))))) (pow x 3))))) y)) (* 95492965855137205879584829256907/25000000000000000000000000000000 (/ 1 (pow x 3))))) (* -1 (/ (* (+ (* -5641895835477563/2500000000000000 (pow x 2)) (* -5641895835477563/5000000000000000 (pow x 2))) (+ (* -1 (/ (+ (* -5641895835477563/5000000000000000 (* x z)) (* 5641895835477563/2500000000000000 x)) (pow x 3))) (* 16925687506432689/5000000000000000 (/ 1 (pow x 2))))) (pow x 3)))) y)) (* 16925687506432689/5000000000000000 (/ 1 (pow x 2))))) y)) (/ 1 x)) |
(* (pow y 2) (+ (* -1 (/ (+ (* -5641895835477563/2500000000000000 x) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 y))) y)) (* -1 (pow x 2)))) |
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(/ y (- 5641895835477563/5000000000000000 (* x y))) |
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(- 5641895835477563/5000000000000000 (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y)) |
5641895835477563/5000000000000000 |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(* 5000000000000000/5641895835477563 y) |
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y)) |
1 |
(+ 1 z) |
(+ 1 (* z (+ 1 (* 1/2 z)))) |
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) |
1/2 |
(+ 1/2 (* 1/6 z)) |
5000000000000000/5641895835477563 |
(+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)) |
(* -5000000000000000/5641895835477563 z) |
(* y (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000))) |
(+ (* 5641895835477563/5000000000000000 (* y (* z (- 5641895835477563/5000000000000000 (* x y))))) (* y (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000)))) |
(+ (* 5641895835477563/5000000000000000 (/ (* y z) (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000)))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) |
(* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (* z (- 5641895835477563/5000000000000000 (* x y)))))) |
(* -5000000000000000/5641895835477563 (* y z)) |
(* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z)))) |
(exp z) |
(* 1/6 z) |
(* z (+ 1/6 (* 1/2 (/ 1 z)))) |
(* z (- (* 5000000000000000/5641895835477563 (/ 1 z)) 5000000000000000/5641895835477563)) |
(* 5641895835477563/5000000000000000 z) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* 5641895835477563/5000000000000000 (* y (* z (- 5641895835477563/5000000000000000 (* x y))))) |
(* z (+ (* 5641895835477563/5000000000000000 (* y (- 5641895835477563/5000000000000000 (* x y)))) (/ (* y (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000))) z))) |
(* 5641895835477563/5000000000000000 (/ (* y z) (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000)))) |
(* z (+ (* 5641895835477563/5000000000000000 (/ y (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000)))) (/ y (* z (- 5641895835477563/5000000000000000 (* x y)))))) |
(* -1 (* z (+ (* -1 (/ y (* z (- 5641895835477563/5000000000000000 (* x y))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) |
(* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)))) |
(* -1 (* z (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z))))) |
(* -1 (* z (+ (* -5641895835477563/5000000000000000 (* y (- 5641895835477563/5000000000000000 (* x y)))) (* -1 (/ (* y (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000))) z))))) |
(* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ y (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000)))) (* -1 (/ y (* z (- 5641895835477563/5000000000000000 (* x y)))))))) |
| Outputs |
|---|
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64)) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) x (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(fma.f64 (-.f64 (fma.f64 (*.f64 x (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64))) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) x (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)))) x #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) x (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y y) x) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(fma.f64 (fma.f64 (*.f64 x (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64))) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (*.f64 y y) (pow.f64 (exp.f64 z) #s(literal 2 binary64))))) x (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
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(- 5641895835477563/5000000000000000 (* x y)) |
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) |
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y)) |
(-.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x)) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y)) |
(-.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x)) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y)) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x)) |
5641895835477563/5000000000000000 |
#s(literal 5641895835477563/5000000000000000 binary64) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) |
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) |
(fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5000000000000000/5641895835477563 y) |
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) |
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y)) |
(fma.f64 (*.f64 z y) #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 z) |
(+.f64 #s(literal 1 binary64) z) |
(+ 1 (* z (+ 1 (* 1/2 z)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z #s(literal 1 binary64)) |
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 z)) |
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) |
5000000000000000/5641895835477563 |
#s(literal 5000000000000000/5641895835477563 binary64) |
(+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z)) |
(fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) |
(* -5000000000000000/5641895835477563 z) |
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) |
(* y (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000))) |
(*.f64 (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) y) (-.f64 (*.f64 y x) #s(literal 5641895835477563/5000000000000000 binary64))) |
(+ (* 5641895835477563/5000000000000000 (* y (* z (- 5641895835477563/5000000000000000 (* x y))))) (* y (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000)))) |
(fma.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) z) (*.f64 (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) y) (-.f64 (*.f64 y x) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(+ (* 5641895835477563/5000000000000000 (/ (* y z) (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000)))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(fma.f64 (*.f64 (/.f64 z (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (/.f64 y (-.f64 (*.f64 y x) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(+.f64 (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) x) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/.f64 y (fma.f64 (neg.f64 y) x (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(fma.f64 (neg.f64 y) x (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) |
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) |
(/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 z y)) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) |
(* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (* z (- 5641895835477563/5000000000000000 (* x y)))))) |
(*.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 y (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) z))) z) |
(* -5000000000000000/5641895835477563 (* y z)) |
(*.f64 (*.f64 z y) #s(literal -5000000000000000/5641895835477563 binary64)) |
(* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z)))) |
(*.f64 (fma.f64 (/.f64 y z) #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)) z) |
(exp z) |
(exp.f64 z) |
(* 1/6 z) |
(*.f64 #s(literal 1/6 binary64) z) |
(* z (+ 1/6 (* 1/2 (/ 1 z)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal 1/6 binary64)) z) |
(* z (- (* 5000000000000000/5641895835477563 (/ 1 z)) 5000000000000000/5641895835477563)) |
(*.f64 (-.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) z) #s(literal 5000000000000000/5641895835477563 binary64)) z) |
(* 5641895835477563/5000000000000000 z) |
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(*.f64 (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/5000000000000000 binary64)) z) |
(* 5641895835477563/5000000000000000 (* y (* z (- 5641895835477563/5000000000000000 (* x y))))) |
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) z) y) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* z (+ (* 5641895835477563/5000000000000000 (* y (- 5641895835477563/5000000000000000 (* x y)))) (/ (* y (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000))) z))) |
(*.f64 (fma.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) y) (-.f64 (*.f64 y x) #s(literal 5641895835477563/5000000000000000 binary64))) z)) z) |
(* 5641895835477563/5000000000000000 (/ (* y z) (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000)))) |
(/.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z y)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 (*.f64 y x) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(* z (+ (* 5641895835477563/5000000000000000 (/ y (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000)))) (/ y (* z (- 5641895835477563/5000000000000000 (* x y)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (*.f64 y x) #s(literal 5641895835477563/5000000000000000 binary64))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (/.f64 y (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) z))) z) |
(* -1 (* z (+ (* -1 (/ y (* z (- 5641895835477563/5000000000000000 (* x y))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) |
(*.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (neg.f64 y) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) z))) (neg.f64 z)) |
(* -1 (* z (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)))) |
(*.f64 (fma.f64 (/.f64 y z) #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) (neg.f64 z)) |
(* -1 (* z (- 5000000000000000/5641895835477563 (* 5000000000000000/5641895835477563 (/ 1 z))))) |
(*.f64 (-.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) z)) (neg.f64 z)) |
(* -1 (* z (+ (* -5641895835477563/5000000000000000 (* y (- 5641895835477563/5000000000000000 (* x y)))) (* -1 (/ (* y (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000))) z))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) y) (-.f64 (*.f64 y x) #s(literal 5641895835477563/5000000000000000 binary64))) (neg.f64 z))) (neg.f64 z)) |
(* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ y (* (- 5641895835477563/5000000000000000 (* x y)) (- (* x y) 5641895835477563/5000000000000000)))) (* -1 (/ y (* z (- 5641895835477563/5000000000000000 (* x y)))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (-.f64 (*.f64 y x) #s(literal 5641895835477563/5000000000000000 binary64))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (/.f64 (neg.f64 y) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) z))) (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 698 |
| 0 | 106 | 698 |
| 1 | 388 | 658 |
| 2 | 2684 | 634 |
| 0 | 8241 | 613 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))) |
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y))) |
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)) |
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y))) |
#s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)) |
(*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y)))) |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y))) |
#s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y)) |
(*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))) |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) |
(*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
#s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) |
#s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) |
#s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) |
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) |
#s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) |
#s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) |
(/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
| Outputs |
|---|
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) (-.f64 (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))))) (*.f64 (-.f64 x (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y)))) (pow.f64 (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) #s(literal 2 binary64)))) (*.f64 (-.f64 x (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y)))) (-.f64 x (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y)))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) (-.f64 (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) x) (*.f64 x x)) (*.f64 (fma.f64 (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) (-.f64 (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) x) (*.f64 x x)) (pow.f64 (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) (-.f64 (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) x) (*.f64 x x)) (fma.f64 (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) (-.f64 (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) x) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (/.f64 (*.f64 y x) (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) (-.f64 (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) #s(literal 2 binary64))) (-.f64 x (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (/.f64 (*.f64 y x) (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) (-.f64 (/.f64 y (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y))) x) (*.f64 x x))) |
(fma.f64 (/.f64 y (-.f64 (*.f64 (pow.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) x) |
(fma.f64 (/.f64 y (-.f64 (*.f64 (pow.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (pow.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (*.f64 y x) (fma.f64 #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) x) |
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(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 2 binary64)) (*.f64 z #s(literal 1/12 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) (-.f64 #s(literal 1/4 binary64) (*.f64 z #s(literal 1/12 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 2 binary64)) (*.f64 z #s(literal 1/12 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) (-.f64 #s(literal 1/4 binary64) (*.f64 z #s(literal 1/12 binary64))))) |
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) |
(fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 z) #s(literal 1/6 binary64))) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 2 binary64)) (*.f64 z #s(literal 1/12 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 2 binary64)) (*.f64 z #s(literal 1/12 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 2 binary64)) (*.f64 z #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 2 binary64)) (*.f64 z #s(literal 1/12 binary64)))))) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) (-.f64 #s(literal 1/4 binary64) (*.f64 z #s(literal 1/12 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) (-.f64 #s(literal 1/4 binary64) (*.f64 z #s(literal 1/12 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) (-.f64 #s(literal 1/4 binary64) (*.f64 z #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 z z) (-.f64 #s(literal 1/4 binary64) (*.f64 z #s(literal 1/12 binary64)))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) z) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)) |
#s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) |
#s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) |
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z) |
(*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)) |
#s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) |
#s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) |
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (neg.f64 (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x #s(literal 5641895835477563/5000000000000000 binary64))) |
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (neg.f64 (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (-.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))) |
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) (neg.f64 (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (neg.f64 (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y))))) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 3 binary64))) |
(/.f64 (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (neg.f64 (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (neg.f64 (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)))) (neg.f64 (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 3 binary64)))) |
(/.f64 (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (neg.f64 (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(/.f64 (neg.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y))) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 3 binary64))) |
(/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (neg.f64 (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 3 binary64)))) |
(neg.f64 (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) (neg.f64 (fma.f64 y x #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (neg.f64 (fma.f64 y x #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (fma.f64 y x #s(literal 5641895835477563/5000000000000000 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x #s(literal 5641895835477563/5000000000000000 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))) |
(neg.f64 (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) |
(fma.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 (neg.f64 x) y))) |
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 (*.f64 (neg.f64 x) y) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
(+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (*.f64 (*.f64 (neg.f64 x) y) (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
(+.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 (neg.f64 x) y))) |
Compiled 36 323 to 2 702 computations (92.6% saved)
20 alts after pruning (12 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 458 | 7 | 465 |
| Fresh | 1 | 5 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 461 | 20 | 481 |
| Status | Accuracy | Program |
|---|---|---|
| 84.4% | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))) | |
| ✓ | 84.4% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
| ✓ | 83.7% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
| ✓ | 65.6% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
| ✓ | 82.4% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
| 25.4% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y)) (*.f64 (*.f64 #s(approx (neg (- 5641895835477563/5000000000000000 (* y x))) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) | |
| 70.0% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (-.f64 y (*.f64 z y))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) | |
| 43.0% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (*.f64 (*.f64 #s(approx (neg (- 5641895835477563/5000000000000000 (* y x))) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) | |
| 28.2% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (*.f64 #s(approx (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) | |
| 50.2% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (*.f64 #s(approx (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (neg.f64 (fma.f64 y y (/.f64 (fma.f64 #s(literal -5641895835477563/2500000000000000 binary64) y (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) x)) x))) (*.f64 x x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) | |
| 64.6% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) #s(approx (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (-.f64 (*.f64 (fma.f64 y #s(literal 95492965855137205879584829256907/25000000000000000000000000000000 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal -16925687506432689/5000000000000000 binary64)) x)) x) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))))) | |
| 66.4% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) #s(approx (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (-.f64 (*.f64 (*.f64 y #s(literal 95492965855137205879584829256907/25000000000000000000000000000000 binary64)) x) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))))) | |
| ✓ | 67.6% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
| ✓ | 57.3% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
| ✓ | 46.7% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y)))) |
| ✓ | 63.7% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
| 46.7% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (*.f64 (*.f64 z y) #s(literal -5000000000000000/5641895835477563 binary64)))))) | |
| 57.2% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x)))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y) #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))))) | |
| 63.4% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64) x)) | |
| 15.5% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) |
Compiled 2 169 to 764 computations (64.8% saved)
| Inputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 z y)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (*.f64 (*.f64 z y) #s(literal -5000000000000000/5641895835477563 binary64)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x)))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y) #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (-.f64 y (*.f64 z y))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) #s(approx (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (-.f64 (*.f64 (*.f64 y #s(literal 95492965855137205879584829256907/25000000000000000000000000000000 binary64)) x) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) #s(approx (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (-.f64 (*.f64 (fma.f64 y #s(literal 95492965855137205879584829256907/25000000000000000000000000000000 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal -16925687506432689/5000000000000000 binary64)) x)) x) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (*.f64 #s(approx (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (*.f64 (*.f64 #s(approx (neg (- 5641895835477563/5000000000000000 (* y x))) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (*.f64 #s(approx (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (neg.f64 (fma.f64 y y (/.f64 (fma.f64 #s(literal -5641895835477563/2500000000000000 binary64) y (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) x)) x))) (*.f64 x x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y)) (*.f64 (*.f64 #s(approx (neg (- 5641895835477563/5000000000000000 (* y x))) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x)) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64) x)) |
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
(fma.f64 (/.f64 y (fma.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (exp.f64 z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 y x)))) x) |
| Outputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
6 calls:
| 10.0ms | x |
| 9.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 9.0ms | z |
| 9.0ms | y |
| 8.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.0% | 1 | x |
| 96.0% | 1 | y |
| 98.8% | 2 | z |
| 98.3% | 2 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 98.8% | 2 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 98.8% | 2 | (exp.f64 z) |
Compiled 21 to 29 computations (-38.1% saved)
| Inputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 z y)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (*.f64 (*.f64 z y) #s(literal -5000000000000000/5641895835477563 binary64)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x)))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y) #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (-.f64 y (*.f64 z y))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) #s(approx (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (-.f64 (*.f64 (*.f64 y #s(literal 95492965855137205879584829256907/25000000000000000000000000000000 binary64)) x) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) #s(approx (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (-.f64 (*.f64 (fma.f64 y #s(literal 95492965855137205879584829256907/25000000000000000000000000000000 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal -16925687506432689/5000000000000000 binary64)) x)) x) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (*.f64 #s(approx (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (*.f64 (*.f64 #s(approx (neg (- 5641895835477563/5000000000000000 (* y x))) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (*.f64 #s(approx (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (neg.f64 (fma.f64 y y (/.f64 (fma.f64 #s(literal -5641895835477563/2500000000000000 binary64) y (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) x)) x))) (*.f64 x x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y)) (*.f64 (*.f64 #s(approx (neg (- 5641895835477563/5000000000000000 (* y x))) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x)) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64) x)) |
| Outputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x)) |
3 calls:
| 36.0ms | z |
| 6.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 6.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | z |
| 99.9% | 3 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 99.9% | 3 | (exp.f64 z) |
Compiled 7 to 13 computations (-85.7% saved)
| Inputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 z y)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (*.f64 (*.f64 z y) #s(literal -5000000000000000/5641895835477563 binary64)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x)))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y) #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (-.f64 y (*.f64 z y))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) #s(approx (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (-.f64 (*.f64 (*.f64 y #s(literal 95492965855137205879584829256907/25000000000000000000000000000000 binary64)) x) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 z) 1/2) (*.f64 #s(literal 1/6 binary64) z)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z #s(literal 1 binary64)))) (*.f64 x y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) #s(approx (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (-.f64 (*.f64 (fma.f64 y #s(literal 95492965855137205879584829256907/25000000000000000000000000000000 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal -16925687506432689/5000000000000000 binary64)) x)) x) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (*.f64 #s(approx (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (*.f64 (*.f64 #s(approx (neg (- 5641895835477563/5000000000000000 (* y x))) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y)) (*.f64 #s(approx (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (neg.f64 (fma.f64 y y (/.f64 (fma.f64 #s(literal -5641895835477563/2500000000000000 binary64) y (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) x)) x))) (*.f64 x x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y)) (*.f64 (*.f64 #s(approx (neg (- 5641895835477563/5000000000000000 (* y x))) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 (fma.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) y)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) |
| Outputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
6 calls:
| 11.0ms | z |
| 8.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 8.0ms | x |
| 8.0ms | y |
| 6.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.1% | 2 | y |
| 84.4% | 1 | x |
| 94.1% | 3 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 97.3% | 2 | z |
| 97.3% | 2 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 97.3% | 2 | (exp.f64 z) |
Compiled 21 to 29 computations (-38.1% saved)
| Inputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 z y)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (*.f64 (*.f64 z y) #s(literal -5000000000000000/5641895835477563 binary64)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x)))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y) #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (-.f64 y (*.f64 z y))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
| Outputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
3 calls:
| 5.0ms | z |
| 3.0ms | (exp.f64 z) |
| 3.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 2 | z |
| 96.9% | 2 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 96.9% | 2 | (exp.f64 z) |
Compiled 7 to 13 computations (-85.7% saved)
| Inputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 z y)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (*.f64 (*.f64 z y) #s(literal -5000000000000000/5641895835477563 binary64)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x)))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y) #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (-.f64 y (*.f64 z y))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
| Outputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
3 calls:
| 7.0ms | z |
| 3.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 3.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 2 | z |
| 96.8% | 2 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 96.8% | 2 | (exp.f64 z) |
Compiled 7 to 13 computations (-85.7% saved)
| Inputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 z y)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (*.f64 (*.f64 z y) #s(literal -5000000000000000/5641895835477563 binary64)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x)))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y) #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(approx (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (-.f64 y (*.f64 z y))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
| Outputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
3 calls:
| 4.0ms | z |
| 3.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 3.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.0% | 2 | z |
| 95.0% | 2 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 95.0% | 2 | (exp.f64 z) |
Compiled 7 to 13 computations (-85.7% saved)
| Inputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 z y)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (*.f64 (*.f64 z y) #s(literal -5000000000000000/5641895835477563 binary64)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x)))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y) #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
| Outputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
3 calls:
| 32.0ms | z |
| 3.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 3.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.0% | 3 | z |
| 95.0% | 3 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 95.0% | 3 | (exp.f64 z) |
Compiled 7 to 13 computations (-85.7% saved)
| Inputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 z y)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (*.f64 (*.f64 z y) #s(literal -5000000000000000/5641895835477563 binary64)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x)))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y) #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
| Outputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
4 calls:
| 3.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 3.0ms | z |
| 2.0ms | (exp.f64 z) |
| 2.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.4% | 3 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 92.0% | 2 | z |
| 92.0% | 2 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 92.0% | 2 | (exp.f64 z) |
Compiled 19 to 23 computations (-21.1% saved)
| Inputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 z y)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (*.f64 (*.f64 z y) #s(literal -5000000000000000/5641895835477563 binary64)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (* (* 5641895835477563/5000000000000000 (* z y)) (- 5641895835477563/5000000000000000 (* y x))) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) y)) (* (* (neg (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x))) (- 5641895835477563/5000000000000000 (* y x)))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) y) #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) |
| Outputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
6 calls:
| 21.0ms | x |
| 3.0ms | z |
| 3.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 3.0ms | y |
| 2.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.1% | 3 | x |
| 82.0% | 3 | y |
| 85.6% | 3 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 79.9% | 2 | z |
| 79.2% | 2 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 79.2% | 2 | (exp.f64 z) |
Compiled 21 to 29 computations (-38.1% saved)
Total -12.3b remaining (-52.8%)
Threshold costs -12.3b (-52.8%)
| Inputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 z y)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) #s(approx (* (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) y) (*.f64 (*.f64 z y) #s(literal -5000000000000000/5641895835477563 binary64)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) z)) y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
| Outputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
6 calls:
| 2.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.7% | 1 | x |
| 63.7% | 1 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 63.7% | 1 | (exp.f64 z) |
| 63.7% | 1 | z |
| 63.7% | 1 | y |
| 63.7% | 1 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
Compiled 21 to 29 computations (-38.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0001148937140903343 | 0.9508113228781756 |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 345763293255.07385 | +inf |
| 0.0ms | 0.0001148937140903343 | 0.9508113228781756 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0001148937140903343 | 0.9508113228781756 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0001148937140903343 | 0.9508113228781756 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0001148937140903343 | 0.9508113228781756 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0001148937140903343 | 0.9508113228781756 |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000000001206 | 1.0010323037519806 |
| 0.0ms | 0.0001148937140903343 | 0.9508113228781756 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0001148937140903343 | 0.9508113228781756 |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.497940050552063e-7 | 0.007305455582904755 |
| 0.0ms | -854.9981183247431 | -0.006310199983663112 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 498 |
| 1 | 158 | 498 |
| 2 | 242 | 498 |
| 3 | 454 | 498 |
| 4 | 1106 | 498 |
| 5 | 4339 | 498 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (exp.f64 z) #s(literal 7378697629483821/36893488147419103232 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))) |
(if (<=.f64 (exp.f64 z) #s(literal 7378697629483821/36893488147419103232 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 (exp.f64 z) #s(literal 500000000000 binary64)) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x)))) |
(if (<=.f64 (exp.f64 z) #s(literal 7378697629483821/36893488147419103232 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))) |
(if (<=.f64 (exp.f64 z) #s(literal 7378697629483821/36893488147419103232 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))) |
(if (<=.f64 (exp.f64 z) #s(literal 7378697629483821/36893488147419103232 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))) |
(if (<=.f64 (exp.f64 z) #s(literal 7378697629483821/36893488147419103232 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))) |
(if (<=.f64 (exp.f64 z) #s(literal 7378697629483821/36893488147419103232 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 (exp.f64 z) #s(literal 2254051613498933/2251799813685248 binary64)) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))))) |
(if (<=.f64 (exp.f64 z) #s(literal 7378697629483821/36893488147419103232 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))) |
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal -500 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 4722366482869645/4722366482869645213696 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)))) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
| Outputs |
|---|
(if (<=.f64 (exp.f64 z) #s(literal 7378697629483821/36893488147419103232 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))) |
(if (<=.f64 (exp.f64 z) #s(literal 7378697629483821/36893488147419103232 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 (exp.f64 z) #s(literal 500000000000 binary64)) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x)))) |
(if (<=.f64 (exp.f64 z) #s(literal 7378697629483821/36893488147419103232 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(approx (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))) |
(if (<=.f64 (exp.f64 z) #s(literal 7378697629483821/36893488147419103232 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))) |
(if (<=.f64 (exp.f64 z) #s(literal 7378697629483821/36893488147419103232 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))) |
(if (<=.f64 (exp.f64 z) #s(literal 7378697629483821/36893488147419103232 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))) |
(if (<=.f64 (exp.f64 z) #s(literal 7378697629483821/36893488147419103232 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 (exp.f64 z) #s(literal 2254051613498933/2251799813685248 binary64)) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))))) |
(if (<=.f64 (exp.f64 z) #s(literal 7378697629483821/36893488147419103232 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))) |
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal -500 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 4722366482869645/4722366482869645213696 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)))) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))))) |
(if (or (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal -500 binary64)) (not (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 4722366482869645/4722366482869645213696 binary64)))) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) #s(approx (/ (+ (/ (* (* -5641895835477563/5000000000000000 z) y) (- 5641895835477563/5000000000000000 (* y x))) y) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(approx (+ (* -5000000000000000/5641895835477563 z) 5000000000000000/5641895835477563) #s(literal 5000000000000000/5641895835477563 binary64)) y)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1105 | 5941 |
| 1 | 3876 | 5755 |
| 0 | 8025 | 5429 |
| 0 | 675 | 3490 |
| 1 | 2238 | 3304 |
| 0 | 8431 | 3107 |
| 0 | 316 | 1526 |
| 1 | 943 | 1497 |
| 2 | 3242 | 1422 |
| 0 | 8202 | 1347 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 742 to 328 computations (55.8% saved)
Compiled 1 044 to 264 computations (74.7% saved)
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