
Time bar (total: 8.3s)
| 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)
| 1.0s | 8 256× | 0 | valid |
const: 236.0ms (33.4% of total)ival-mult: 195.0ms (27.6% of total)ival-exp: 89.0ms (12.6% of total)ival-div: 77.0ms (10.9% of total)ival-sub: 60.0ms (8.5% of total)ival-add: 39.0ms (5.5% of total)ival-true: 7.0ms (1% of total)ival-assert: 4.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 42 | 0 | - | 1 | (-7.160723706252538e-152 -4.198855225093822e-164 -9.749310331738132e+260) | (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) |
| 4 | 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 | 11 | 0 |
| ↳ | (exp.f64 z) | underflow | 83 | |
| ↳ | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) | underflow | 83 | |
| ↳ | (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) | underflow | 11 | |
| ↳ | (*.f64 x y) | underflow | 28 | |
-.f64 | (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) | nan-rescue | 4 | 0 |
| ↳ | (exp.f64 z) | overflow | 58 | |
| ↳ | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) | overflow | 58 | |
| ↳ | (*.f64 x y) | overflow | 38 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 15 | 1 |
| - | 0 | 240 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 15 | 0 | 1 |
| - | 0 | 0 | 240 |
| number | freq |
|---|---|
| 0 | 241 |
| 1 | 15 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 24.0ms | 256× | 0 | valid |
Compiled 143 to 52 computations (63.6% saved)
const: 4.0ms (29.5% of total)ival-mult: 3.0ms (22.1% of total)ival-div: 2.0ms (14.7% of total)ival-exp: 2.0ms (14.7% of total)ival-sub: 1.0ms (7.4% of total)ival-add: 1.0ms (7.4% 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 | 107 | 109 |
| 2 | 203 | 109 |
| 3 | 452 | 108 |
| 4 | 842 | 108 |
| 5 | 1460 | 108 |
| 6 | 1986 | 108 |
| 7 | 2307 | 108 |
| 8 | 2374 | 108 |
| 9 | 2397 | 108 |
| 10 | 2403 | 108 |
| 11 | 2403 | 108 |
| 0 | 10 | 12 |
| 0 | 16 | 12 |
| 1 | 24 | 12 |
| 2 | 36 | 12 |
| 3 | 48 | 12 |
| 4 | 71 | 12 |
| 5 | 101 | 12 |
| 6 | 160 | 12 |
| 7 | 228 | 12 |
| 8 | 321 | 12 |
| 9 | 429 | 12 |
| 10 | 592 | 12 |
| 11 | 605 | 12 |
| 12 | 620 | 12 |
| 13 | 667 | 12 |
| 0 | 667 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| 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 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))) |
Compiled 12 to 10 computations (16.7% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.0% | (+.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 | 128 | (+.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 | 24 | 43 |
| 2 | 36 | 43 |
| 3 | 48 | 43 |
| 4 | 71 | 43 |
| 5 | 101 | 43 |
| 6 | 160 | 43 |
| 7 | 228 | 43 |
| 8 | 321 | 43 |
| 9 | 429 | 43 |
| 10 | 592 | 43 |
| 11 | 605 | 43 |
| 12 | 620 | 43 |
| 13 | 667 | 43 |
| 0 | 667 | 42 |
| 1× | iter limit |
| 1× | saturated |
| 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 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))) |
x |
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) |
(/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) |
y |
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) |
(neg.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) |
(*.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 | 0.00390625 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) | |
| accuracy | 0.00390625 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) | |
| accuracy | 0.8007812500000001 | (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) | |
| accuracy | 9.675317862163366 | (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) |
| 23.0ms | 256× | 0 | valid |
Compiled 88 to 22 computations (75% saved)
const: 4.0ms (29.5% of total)ival-mult: 3.0ms (22.1% of total)ival-div: 2.0ms (14.8% of total)ival-exp: 2.0ms (14.8% of total)ival-sub: 1.0ms (7.4% of total)ival-add: 1.0ms (7.4% 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)) |
| 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)))))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | 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))) |
| 1.0ms | 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))) |
| 1.0ms | 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))) |
| 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))) |
| 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))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 303 | 1507 |
| 1 | 865 | 1491 |
| 2 | 2565 | 1415 |
| 0 | 8211 | 1334 |
| 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)))))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* 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 (fma.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) y) (/.f64 x (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) y x) |
(+ (* 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 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) x) (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)) (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y (/.f64 y (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) #s(literal 1 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 #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 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 x (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 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 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) y) (/.f64 x (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) y) |
(+ (* 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 (/.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 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 x (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 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 x) y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) (/.f64 (/.f64 #s(literal -1 binary64) x) 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))))) |
(fma.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) (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) x x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x) |
(/.f64 (fma.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 (neg.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64))))) (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64)))))) z (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64))))))) z (*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (/.f64 y (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64)))) |
(- 5641895835477563/5000000000000000 (* x y)) |
(fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64)) |
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y)) |
(fma.f64 (neg.f64 x) y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) |
(- (+ 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 (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64))) |
(- (+ 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 (fma.f64 (neg.f64 x) y #s(literal 5641895835477563/5000000000000000 binary64))) |
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)) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(+.f64 (/.f64 y (fma.f64 (neg.f64 x) y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) x) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/.f64 y (fma.f64 (neg.f64 x) y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(fma.f64 (neg.f64 x) y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 34 |
| 0 | 16 | 34 |
| 1 | 57 | 34 |
| 2 | 451 | 34 |
| 3 | 7444 | 34 |
| 0 | 8118 | 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)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 3 binary64)))) (fma.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) (-.f64 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 (neg.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 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) (-.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (neg.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 (fma.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64))) (-.f64 (fma.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64)))) (-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x))) |
(*.f64 (pow.f64 (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 x (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 (neg.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 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (neg.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 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y 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 -1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))))) |
(*.f64 (fma.f64 x (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64))) (/.f64 (-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))) (fma.f64 x (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 x (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64))) (*.f64 (-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))) (pow.f64 (fma.f64 x (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (neg.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 x (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y 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 (-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))) (*.f64 (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (pow.f64 (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 4 binary64))) (pow.f64 (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 6 binary64))) (pow.f64 (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 6 binary64))) (pow.f64 (fma.f64 x (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 x (+.f64 (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) #s(literal 6 binary64))) (pow.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) (neg.f64 y)) #s(literal 3 binary64)))) |
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(-.f64 (/.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)))) #s(literal 1 binary64)) (/.f64 (/.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)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 y x) #s(literal 1 binary64))) |
(-.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 #s(literal 0 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) |
(-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x)) |
(+.f64 (neg.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z))) (*.f64 (neg.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)))) (neg.f64 (/.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)))) (neg.f64 (/.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 y) x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(+.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 (neg.f64 y) x)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
Compiled 11 763 to 1 181 computations (90% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 311 | 10 | 321 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 312 | 10 | 322 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.0% | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) y x) |
| ▶ | 79.2% | (+.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)))) |
| 80.0% | (+.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)))) | |
| ▶ | 78.2% | (+.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)))) |
| 78.7% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) | |
| ▶ | 68.2% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))) |
| ▶ | 72.4% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
| 57.4% | #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))) | |
| 63.7% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x))) |
Compiled 358 to 276 computations (22.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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)))) | |
| cost-diff | 0 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #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 #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 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) y) | |
| cost-diff | 0 | #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) | |
| cost-diff | 0 | (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))) | |
| cost-diff | 0 | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.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 | (exp.f64 z) | |
| cost-diff | 0 | (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) y x) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 299 |
| 0 | 67 | 299 |
| 1 | 100 | 299 |
| 2 | 135 | 299 |
| 3 | 220 | 298 |
| 4 | 353 | 298 |
| 5 | 459 | 298 |
| 6 | 615 | 298 |
| 7 | 841 | 298 |
| 8 | 1087 | 298 |
| 9 | 1514 | 298 |
| 10 | 1982 | 298 |
| 11 | 2098 | 298 |
| 12 | 2154 | 298 |
| 13 | 2217 | 298 |
| 14 | 2221 | 298 |
| 15 | 2222 | 298 |
| 0 | 2222 | 298 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) y x) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) |
#s(literal -1 binary64) |
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)) |
#s(literal -5641895835477563/5000000000000000 binary64) |
(exp.f64 z) |
z |
(*.f64 y x) |
y |
x |
(+.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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))) |
x |
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))) |
y |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
(neg.f64 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)))) |
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))) |
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 (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(literal 5641895835477563/5000000000000000 binary64) |
z |
(*.f64 x y) |
(+.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) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) y x) |
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) |
#s(literal -1 binary64) |
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)) |
(fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) |
#s(literal -5641895835477563/5000000000000000 binary64) |
(exp.f64 z) |
z |
(*.f64 y x) |
(*.f64 x y) |
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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))) |
(+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))) x) |
x |
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))) |
y |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
(neg.f64 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)))) |
(-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
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 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))) |
y |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #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 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(literal 5641895835477563/5000000000000000 binary64) |
z |
(*.f64 x y) |
(+.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 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 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) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.078125 | (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) | |
| accuracy | 0.8007812500000001 | (-.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 | 9.675317862163366 | (/.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 | 25.811928906377364 | #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))) | |
| accuracy | 0.15234375 | (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) | |
| accuracy | 0.8007812500000001 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) | |
| accuracy | 9.675317862163366 | (/.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))) | |
| accuracy | 34.54875612391601 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.00390625 | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))) | |
| accuracy | 9.675317862163366 | (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))) | |
| accuracy | 27.87597725145446 | #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.00390625 | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) | |
| accuracy | 28.582704807862072 | #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0 | (exp.f64 z) | |
| accuracy | 0.46588448088977275 | (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) | |
| accuracy | 1.0078042433208232 | (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)) | |
| accuracy | 2.8609563639046627 | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) y x) |
| 103.0ms | 256× | 0 | valid |
Compiled 524 to 73 computations (86.1% saved)
ival-add: 36.0ms (46.8% of total)ival-mult: 15.0ms (19.5% of total)const: 15.0ms (19.5% of total)ival-div: 5.0ms (6.5% of total)ival-exp: 2.0ms (2.6% of total)ival-sub: 1.0ms (1.3% of total)ival-neg: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) y x) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) |
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)) |
(exp.f64 z) |
(+.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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))) |
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))) |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.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 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 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 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 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))) |
(neg.f64 x) |
(fma.f64 #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)) |
| 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 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))))))) |
(/ 5000000000000000/5641895835477563 (exp z)) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(+ (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 2)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ y (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(+ (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 3)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ y (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(* -5641895835477563/5000000000000000 (exp z)) |
(+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) |
(+ (* 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)))))) |
(/ -1 x) |
(* 5641895835477563/5000000000000000 (exp z)) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(* -1 (* x y)) |
(* -1 x) |
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 y)) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y)) x) |
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y))) x) |
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 4)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 3)))) (/ 1 y)))) x) |
(* x y) |
(* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) 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))))) |
(/ (- (* -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) |
(* 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 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y)) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 3)))) (* 5641895835477563/5000000000000000 (/ (exp z) (pow y 2)))) x)) (/ 1 y)) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 4)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 3)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow y 2)))) x)) (/ 1 y)) x)) |
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x))))) |
(* -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 (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(+ (* 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 (* 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)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))))) (/ 1 x)) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)) y) |
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))) y) |
(/ (- (* -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) |
(* y (+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))) |
(- (+ 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 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) 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 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x)) y)) |
(* -1 (/ (+ (* -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)) y)) |
(* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) 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)))) |
(+ x (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000)))) |
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))))) |
(+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))))))))) |
(+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/30000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))) (- (* x y) 5641895835477563/5000000000000000))))))))))))) |
(/ -1 (- (* x y) 5641895835477563/5000000000000000)) |
(- (* -5641895835477563/5000000000000000 (/ z (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (/ 1 (- (* x y) 5641895835477563/5000000000000000))) |
(- (* z (- (* -1 (* z (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))))) (* 5641895835477563/5000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))))) (/ 1 (- (* x y) 5641895835477563/5000000000000000))) |
(- (* z (- (* z (- (* -1 (* z (+ (* 5641895835477563/30000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (+ (* 31830988618379068626528276418969/50000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))) (- (* x y) 5641895835477563/5000000000000000))))))) (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))))) (* 5641895835477563/5000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))))) (/ 1 (- (* x y) 5641895835477563/5000000000000000))) |
(- (* x y) 5641895835477563/5000000000000000) |
(- (+ (* -5641895835477563/5000000000000000 z) (* x y)) 5641895835477563/5000000000000000) |
(- (+ (* x y) (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000))) 5641895835477563/5000000000000000) |
(- (+ (* x y) (* z (- (* z (- (* -5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))) 5641895835477563/5000000000000000) |
1 |
(+ 1 z) |
(+ 1 (* z (+ 1 (* 1/2 z)))) |
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) |
(+ 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)))))) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))) |
(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 z) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* 5641895835477563/30000000000000000 (pow z 2)) |
(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | x | @ | -inf | ((+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (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)) (* (neg 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 (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 x) (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000)) |
| 6.0ms | z | @ | inf | ((+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (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)) (* (neg 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 (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 x) (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000)) |
| 4.0ms | x | @ | 0 | ((+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (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)) (* (neg 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 (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 x) (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000)) |
| 3.0ms | z | @ | 0 | ((+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (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)) (* (neg 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 (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 x) (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000)) |
| 3.0ms | z | @ | -inf | ((+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (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)) (* (neg 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 (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 x) (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 554 | 2946 |
| 1 | 1630 | 2891 |
| 2 | 4794 | 2828 |
| 0 | 8638 | 2611 |
| 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 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))))))) |
(/ 5000000000000000/5641895835477563 (exp z)) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(+ (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 2)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ y (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(+ (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 3)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ y (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(* -5641895835477563/5000000000000000 (exp z)) |
(+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) |
(+ (* 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)))))) |
(/ -1 x) |
(* 5641895835477563/5000000000000000 (exp z)) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(* -1 (* x y)) |
(* -1 x) |
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 y)) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y)) x) |
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y))) x) |
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 4)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 3)))) (/ 1 y)))) x) |
(* x y) |
(* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) 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))))) |
(/ (- (* -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) |
(* 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 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y)) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 3)))) (* 5641895835477563/5000000000000000 (/ (exp z) (pow y 2)))) x)) (/ 1 y)) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 4)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 3)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow y 2)))) x)) (/ 1 y)) x)) |
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x))))) |
(* -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 (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(+ (* 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 (* 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)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))))) (/ 1 x)) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)) y) |
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))) y) |
(/ (- (* -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) |
(* y (+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))) |
(- (+ 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 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) 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 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x)) y)) |
(* -1 (/ (+ (* -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)) y)) |
(* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) 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)))) |
(+ x (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000)))) |
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))))) |
(+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))))))))) |
(+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/30000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))) (- (* x y) 5641895835477563/5000000000000000))))))))))))) |
(/ -1 (- (* x y) 5641895835477563/5000000000000000)) |
(- (* -5641895835477563/5000000000000000 (/ z (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (/ 1 (- (* x y) 5641895835477563/5000000000000000))) |
(- (* z (- (* -1 (* z (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))))) (* 5641895835477563/5000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))))) (/ 1 (- (* x y) 5641895835477563/5000000000000000))) |
(- (* z (- (* z (- (* -1 (* z (+ (* 5641895835477563/30000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (+ (* 31830988618379068626528276418969/50000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))) (- (* x y) 5641895835477563/5000000000000000))))))) (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))))) (* 5641895835477563/5000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))))) (/ 1 (- (* x y) 5641895835477563/5000000000000000))) |
(- (* x y) 5641895835477563/5000000000000000) |
(- (+ (* -5641895835477563/5000000000000000 z) (* x y)) 5641895835477563/5000000000000000) |
(- (+ (* x y) (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000))) 5641895835477563/5000000000000000) |
(- (+ (* x y) (* z (- (* z (- (* -5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))) 5641895835477563/5000000000000000) |
1 |
(+ 1 z) |
(+ 1 (* z (+ 1 (* 1/2 z)))) |
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) |
(+ 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)))))) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))) |
(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 z) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* 5641895835477563/30000000000000000 (pow z 2)) |
(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 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)))))) |
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(fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y)))) |
(/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y))) |
(exp z) |
(exp.f64 z) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y)))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 x y))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(* 5641895835477563/5000000000000000 z) |
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/30000000000000000 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64)) |
(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 5641895835477563/30000000000000000 binary64)) z) z) |
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(*.f64 (+.f64 (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) z)) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) (*.f64 z z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 257 |
| 0 | 67 | 257 |
| 1 | 288 | 257 |
| 2 | 2173 | 257 |
| 0 | 9224 | 257 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) y x) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) |
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)) |
(exp.f64 z) |
(+.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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))) |
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y))) |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.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 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 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 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 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))) |
(neg.f64 x) |
(fma.f64 #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)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (-.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x) (-.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)) (-.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)) (*.f64 (-.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x) (*.f64 x x))) (*.f64 (-.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x) (-.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64))) (-.f64 x (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 x) y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 x) y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x) (-.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x) (-.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 y (fma.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal -1 binary64) x) |
(fma.f64 (/.f64 y (-.f64 (pow.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y)) #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 (neg.f64 y) (-.f64 (pow.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y)) x) |
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 y (pow.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (neg.f64 x) y)) #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 y (pow.f64 (fma.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal -1 binary64))) x) |
(fma.f64 (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal -1 binary64)) (/.f64 y #s(literal -1 binary64)) x) |
(fma.f64 (neg.f64 y) (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) |
(fma.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal -1 binary64)) y) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (/.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 2 binary64)) (-.f64 x (/.f64 (neg.f64 y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))) |
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(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 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)))) |
(/.f64 (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 2 binary64))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64))) |
(/.f64 (+.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 3 binary64))) (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(/.f64 (+.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 5641895835477563/5000000000000000 binary64))) (+.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 5641895835477563/5000000000000000 binary64))) (+.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 3 binary64)))))) |
(fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(-.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 2 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)))) |
(+.f64 (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z)) |
Compiled 19 490 to 2 112 computations (89.2% saved)
13 alts after pruning (11 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 531 | 9 | 540 |
| Fresh | 3 | 2 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 537 | 13 | 550 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 80.8% | (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
| ▶ | 68.0% | (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 x y))) y x) |
| ▶ | 68.0% | (fma.f64 #s(approx (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) y x) |
| 57.4% | (fma.f64 #s(approx (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) y x) | |
| 80.0% | (+.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)))) | |
| ▶ | 78.9% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
| ✓ | 78.2% | (+.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)))) |
| 63.4% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) (*.f64 x y)))) | |
| 78.2% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y))) | |
| ✓ | 72.4% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
| ▶ | 78.7% | #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) |
| 15.5% | #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) | |
| 63.7% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x))) |
Compiled 503 to 382 computations (24.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) 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 (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 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 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal -1 binary64) y) x) | |
| cost-diff | 0 | #s(approx (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) | |
| cost-diff | 0 | (fma.f64 #s(approx (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) y x) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 x y)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 x y))) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 x y))) y x) | |
| cost-diff | 0 | (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) | |
| cost-diff | 0 | (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) | |
| cost-diff | 0 | (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 386 |
| 0 | 71 | 386 |
| 1 | 113 | 385 |
| 2 | 166 | 385 |
| 3 | 275 | 382 |
| 4 | 364 | 382 |
| 5 | 469 | 382 |
| 6 | 648 | 382 |
| 7 | 979 | 382 |
| 8 | 1601 | 382 |
| 9 | 2497 | 382 |
| 10 | 3245 | 382 |
| 11 | 3624 | 382 |
| 12 | 3878 | 382 |
| 13 | 3975 | 382 |
| 14 | 4033 | 382 |
| 15 | 4069 | 382 |
| 16 | 4079 | 382 |
| 17 | 4087 | 382 |
| 18 | 4099 | 382 |
| 19 | 4103 | 382 |
| 0 | 4103 | 361 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) |
#s(literal -1 binary64) |
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) |
(fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #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) |
(fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) |
x |
y |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) |
(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) |
x |
(/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) |
y |
(fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) |
#s(literal -5641895835477563/5000000000000000 binary64) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 x y))) y x) |
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 x y))) |
#s(literal -1 binary64) |
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
(fma.f64 #s(approx (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) y x) |
#s(approx (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
x |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
x |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
y |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) |
(*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64)) |
(*.f64 z z) |
z |
#s(literal 5641895835477563/30000000000000000 binary64) |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 x y) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(-.f64 x (/.f64 y #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) |
#s(literal -1 binary64) |
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) |
(fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #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) |
(fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) |
x |
y |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) |
(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) |
x |
(/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) |
y |
(fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) |
#s(literal -5641895835477563/5000000000000000 binary64) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 x y))) y x) |
(-.f64 x (/.f64 y #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 x y)))) |
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 x y))) |
#s(literal -1 binary64) |
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
(fma.f64 #s(approx (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) y x) |
#s(approx (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
x |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(-.f64 x (/.f64 y (-.f64 (*.f64 x y) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
x |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 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 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))))) |
y |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) 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 (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) |
(*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64)) |
(*.f64 z z) |
z |
#s(literal 5641895835477563/30000000000000000 binary64) |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 x y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.8007812500000001 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) | |
| accuracy | 9.675317862163366 | (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) | |
| accuracy | 25.811928906377364 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) | |
| accuracy | 27.977190839241423 | #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.18359375 | (/.f64 (/.f64 #s(literal -1 binary64) y) x) | |
| accuracy | 2.8609563639046627 | (fma.f64 #s(approx (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) y x) | |
| accuracy | 26.879808249359385 | #s(approx (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.46588448088977275 | (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 x y))) | |
| accuracy | 2.8609563639046627 | (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 x y))) y x) | |
| accuracy | 27.87597725145446 | #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 x y)) | |
| accuracy | 0 | (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) | |
| accuracy | 0.01171875 | (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) | |
| accuracy | 9.065292683841973 | (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) | |
| accuracy | 13.55093009407411 | #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) | |
| accuracy | 0.46588448088977275 | (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) | |
| accuracy | 0.5546819952111204 | (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) | |
| accuracy | 2.8609563639046627 | (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) y x) | |
| accuracy | 22.522496947925884 | #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) |
| 289.0ms | 256× | 0 | valid |
Compiled 632 to 90 computations (85.8% saved)
const: 94.0ms (35.6% of total)ival-add: 79.0ms (29.9% of total)ival-exp: 62.0ms (23.5% of total)ival-mult: 18.0ms (6.8% of total)ival-div: 8.0ms (3% of total)ival-sub: 2.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) |
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) |
(fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) |
(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) |
(/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) |
(fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 x y))) y x) |
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 x y))) |
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 x y)) |
(*.f64 x y) |
(fma.f64 #s(approx (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) y x) |
#s(approx (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/.f64 #s(literal -1 binary64) y) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) |
#s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) |
| 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 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))))))) |
(/ 5000000000000000/5641895835477563 (exp z)) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(+ (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 2)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ y (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(+ (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 3)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ y (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(* -5641895835477563/5000000000000000 (exp z)) |
(+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) |
(- (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) |
(- (+ (* x y) (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000))) 5641895835477563/5000000000000000) |
(* 5000000000000000/5641895835477563 y) |
(- (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))) (* -5000000000000000/5641895835477563 y)) |
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(+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/30000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))) (- (* x y) 5641895835477563/5000000000000000))))))))))))) |
(/ -1 (- (* x y) 5641895835477563/5000000000000000)) |
(- (* -5641895835477563/5000000000000000 (/ z (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (/ 1 (- (* x y) 5641895835477563/5000000000000000))) |
(- (* z (- (* -1 (* z (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))))) (* 5641895835477563/5000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))))) (/ 1 (- (* x y) 5641895835477563/5000000000000000))) |
(- (* z (- (* z (- (* -1 (* z (+ (* 5641895835477563/30000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (+ (* 31830988618379068626528276418969/50000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))) (- (* x y) 5641895835477563/5000000000000000))))))) (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))))) (* 5641895835477563/5000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))))) (/ 1 (- (* x y) 5641895835477563/5000000000000000))) |
(- (+ (* -5641895835477563/5000000000000000 z) (* x y)) 5641895835477563/5000000000000000) |
(- (+ (* x y) (* z (- (* z (- (* -5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))) 5641895835477563/5000000000000000) |
(+ 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)))))) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))) |
(* -5641895835477563/10000000000000000 (pow z 2)) |
(* -1 (* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))) |
(* (pow z 2) (- (/ (* x y) (pow z 2)) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(* 5641895835477563/30000000000000000 (pow z 2)) |
(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(* (pow z 2) (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* -1 (/ (- (* x y) 5641895835477563/5000000000000000) z))) z)) 5641895835477563/10000000000000000)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | ((+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (/ y (+ (* x y) -5641895835477563/5000000000000000)) (+ (* x y) -5641895835477563/5000000000000000) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (* x y) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/ (/ -1 y) x) (/ -1 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)) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000)) |
| 2.0ms | x | @ | inf | ((+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (/ y (+ (* x y) -5641895835477563/5000000000000000)) (+ (* x y) -5641895835477563/5000000000000000) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (* x y) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/ (/ -1 y) x) (/ -1 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)) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000)) |
| 2.0ms | x | @ | 0 | ((+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (/ y (+ (* x y) -5641895835477563/5000000000000000)) (+ (* x y) -5641895835477563/5000000000000000) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (* x y) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/ (/ -1 y) x) (/ -1 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)) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000)) |
| 2.0ms | y | @ | -inf | ((+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (/ y (+ (* x y) -5641895835477563/5000000000000000)) (+ (* x y) -5641895835477563/5000000000000000) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (* x y) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/ (/ -1 y) x) (/ -1 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)) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000)) |
| 2.0ms | z | @ | inf | ((+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (/ y (+ (* x y) -5641895835477563/5000000000000000)) (+ (* x y) -5641895835477563/5000000000000000) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (* x y) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/ (/ -1 y) x) (/ -1 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)) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 757 | 3703 |
| 1 | 2242 | 3630 |
| 2 | 6560 | 3594 |
| 0 | 8092 | 3327 |
| 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 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))))))) |
(/ 5000000000000000/5641895835477563 (exp z)) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(+ (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 2)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ y (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(+ (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 3)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ y (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(* -5641895835477563/5000000000000000 (exp z)) |
(+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) |
(- (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) |
(- (+ (* x y) (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000))) 5641895835477563/5000000000000000) |
(* 5000000000000000/5641895835477563 y) |
(- (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))) (* -5000000000000000/5641895835477563 y)) |
(- (* x (+ 1 (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) (* -5000000000000000/5641895835477563 y)) |
(- (* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3))))))) (* -5000000000000000/5641895835477563 y)) |
(* -5000000000000000/5641895835477563 y) |
(+ (* -5000000000000000/5641895835477563 y) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2)))) |
(+ (* -5000000000000000/5641895835477563 y) (* x (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) |
(+ (* -5000000000000000/5641895835477563 y) (* x (- (* x (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3)))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) |
-5641895835477563/5000000000000000 |
(- (* x y) 5641895835477563/5000000000000000) |
(* x y) |
(/ -1 (* x y)) |
(+ (* 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)))) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y)) x) |
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y))) x) |
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 4)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 3)))) (/ 1 y)))) x) |
(* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x)))) |
(* x (- (+ y (/ (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) x)) (* 5641895835477563/5000000000000000 (/ 1 x)))) |
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(+ (* -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)))))) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))) |
(* -5641895835477563/10000000000000000 (pow z 2)) |
(* -1 (* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))) |
(* (pow z 2) (- (/ (* x y) (pow z 2)) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(* 5641895835477563/30000000000000000 (pow z 2)) |
(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(* (pow z 2) (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* -1 (/ (- (* x y) 5641895835477563/5000000000000000) z))) z)) 5641895835477563/10000000000000000)) |
| 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 (fma.f64 (*.f64 (/.f64 x (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) y x) |
(+ (* 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 y (/.f64 y (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (fma.f64 (*.f64 (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) x #s(literal 1 binary64))) x (*.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))) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))))))) |
(fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y (*.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (pow.f64 (exp.f64 z) #s(literal 4 binary64))))) x (fma.f64 (*.f64 y y) (/.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 1 binary64))) x)) |
(/ 5000000000000000/5641895835477563 (exp z)) |
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(fma.f64 (*.f64 (/.f64 x (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) |
(+ (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 2)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ y (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(fma.f64 (fma.f64 (/.f64 y (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x y) y) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64)))) x (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) |
(+ (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 3)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ y (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y y)) (pow.f64 (exp.f64 z) #s(literal 3 binary64)))) x (*.f64 (/.f64 y (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) x (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) |
(* -5641895835477563/5000000000000000 (exp z)) |
(*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) |
(+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) |
(fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) |
(- (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) |
(fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) |
(- (+ (* x y) (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000))) 5641895835477563/5000000000000000) |
(fma.f64 x y (fma.f64 (fma.f64 #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) |
(- (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))) (* -5000000000000000/5641895835477563 y)) |
(fma.f64 (fma.f64 (*.f64 x y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) y x) |
(- (* x (+ 1 (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) (* -5000000000000000/5641895835477563 y)) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (fma.f64 (*.f64 y y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 1 binary64))) x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(- (* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3))))))) (* -5000000000000000/5641895835477563 y)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))) x (fma.f64 (*.f64 y y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 1 binary64))) x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(* -5000000000000000/5641895835477563 y) |
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y) |
(+ (* -5000000000000000/5641895835477563 y) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 x y) #s(literal -5000000000000000/5641895835477563 binary64)) y) |
(+ (* -5000000000000000/5641895835477563 y) (* x (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y) (*.f64 #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) x (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)) |
(+ (* -5000000000000000/5641895835477563 y) (* x (- (* x (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3)))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y) (*.f64 (fma.f64 #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) x)) x (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)) |
-5641895835477563/5000000000000000 |
#s(literal -5641895835477563/5000000000000000 binary64) |
(- (* x y) 5641895835477563/5000000000000000) |
(fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) |
(* x y) |
(*.f64 x y) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 x y)) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 x (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) y x) |
(+ (* 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 y (/.f64 y (pow.f64 (exp.f64 z) #s(literal 2 binary64)))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (fma.f64 (*.f64 (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) x #s(literal 1 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 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y (*.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (pow.f64 (exp.f64 z) #s(literal 4 binary64))))) x (fma.f64 (*.f64 y y) (/.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 1 binary64))) x)) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 x (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) y) |
(+ (* 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 y y) (/.f64 #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 (- (* 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 (fma.f64 (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (pow.f64 (exp.f64 z) #s(literal 4 binary64))))) x (*.f64 (*.f64 y y) (/.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (pow.f64 (exp.f64 z) #s(literal 2 binary64))))) 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 x) y (*.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 (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 #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) (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y)) x) |
(/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (exp.f64 z) x) y) #s(literal -5641895835477563/5000000000000000 binary64) #s(literal -1 binary64)) x) y) |
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y))) x) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) x) (*.f64 (/.f64 (/.f64 (exp.f64 z) y) y) #s(literal -5641895835477563/5000000000000000 binary64))) x) (/.f64 #s(literal 1 binary64) y)) x) |
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 4)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 3)))) (/ 1 y)))) x) |
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (/.f64 (exp.f64 z) x) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y y)) (/.f64 (exp.f64 z) x))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) x)) (/.f64 #s(literal 1 binary64) y))) x) |
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(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)) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)) |
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) |
(fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) |
(* -5641895835477563/10000000000000000 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64)) |
(* -1 (* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))) |
(*.f64 (*.f64 (neg.f64 z) z) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/10000000000000000 binary64))) |
(* (pow z 2) (- (/ (* x y) (pow z 2)) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))) |
(*.f64 (fma.f64 (/.f64 x z) (/.f64 y z) (-.f64 #s(literal -5641895835477563/10000000000000000 binary64) (+.f64 (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))) (*.f64 z z)) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(+.f64 (/.f64 y (fma.f64 (neg.f64 x) y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) x) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/.f64 y (fma.f64 (neg.f64 x) y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(fma.f64 (neg.f64 x) y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) |
(* 5641895835477563/30000000000000000 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64)) |
(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) #s(literal 5641895835477563/30000000000000000 binary64)) z) z) |
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(*.f64 (+.f64 (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) z)) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) (*.f64 z z)) |
(* (pow z 2) (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* -1 (/ (- (* x y) 5641895835477563/5000000000000000) z))) z)) 5641895835477563/10000000000000000)) |
(*.f64 (*.f64 (-.f64 #s(literal -5641895835477563/10000000000000000 binary64) (/.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) z)) z)) z) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 329 |
| 0 | 71 | 329 |
| 1 | 322 | 328 |
| 2 | 2460 | 328 |
| 0 | 8190 | 309 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) |
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) |
(fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) |
(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) |
(/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) |
(fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 x y))) y x) |
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 x y))) |
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 x y)) |
(*.f64 x y) |
(fma.f64 #s(approx (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) y x) |
#s(approx (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/.f64 #s(literal -1 binary64) y) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) |
#s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (-.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) x) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))) (pow.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) x) (-.f64 (pow.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))) (pow.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))) (pow.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal 2 binary64)) (-.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) x)) (*.f64 (-.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) x) (*.f64 x x))) (*.f64 (-.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) x) (-.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) x))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal 2 binary64))) (-.f64 x (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 y) x) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))))) |
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(-.f64 (/.f64 (pow.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64)) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 (neg.f64 y) x))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 (neg.f64 y) x)))) |
(-.f64 (/.f64 (pow.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64)) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(-.f64 (/.f64 (pow.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)))) (pow.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)))) (pow.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64))))) |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
(+.f64 (*.f64 (neg.f64 y) x) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)))) |
(+.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 (neg.f64 y) x)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) |
#s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) |
Compiled 27 521 to 2 643 computations (90.4% saved)
15 alts after pruning (10 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 608 | 8 | 616 |
| Fresh | 4 | 2 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 614 | 15 | 629 |
| Status | Accuracy | Program |
|---|---|---|
| 67.9% | (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) | |
| ✓ | 68.0% | (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 x y))) y x) |
| ▶ | 81.8% | (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) x)))) y x) |
| ▶ | 41.5% | (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) y x) |
| 57.4% | (fma.f64 #s(approx (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) y x) | |
| ▶ | 80.8% | (+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) x) |
| ✓ | 78.9% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
| ✓ | 78.2% | (+.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)))) |
| ✓ | 72.4% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
| ✓ | 78.7% | #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) |
| ▶ | 55.6% | #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
| 15.5% | #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) | |
| 44.4% | #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) y x))) | |
| 55.5% | #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))) | |
| ▶ | 15.3% | #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
Compiled 666 to 479 computations (28.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) | |
| cost-diff | 128 | (+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) y x) | |
| cost-diff | 0 | #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)) | |
| cost-diff | 0 | (/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))) | |
| cost-diff | 0 | (-.f64 x (/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) | |
| cost-diff | 0 | (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) | |
| cost-diff | 0 | #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) | |
| cost-diff | 0 | #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) | |
| cost-diff | 0 | #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) x))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) x)))) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) x)))) y x) | |
| cost-diff | 832 | (*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 477 |
| 0 | 73 | 478 |
| 1 | 110 | 477 |
| 2 | 169 | 473 |
| 3 | 285 | 473 |
| 4 | 424 | 473 |
| 5 | 682 | 455 |
| 6 | 1121 | 455 |
| 7 | 1524 | 455 |
| 8 | 3663 | 455 |
| 9 | 5895 | 455 |
| 10 | 7858 | 455 |
| 0 | 8123 | 444 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) x)))) y x) |
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) x)))) |
#s(literal -1 binary64) |
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) x))) |
#s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) x)) |
(*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) x) |
(+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) |
(/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) |
(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) |
x |
y |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) |
#s(literal 5000000000000000/5641895835477563 binary64) |
y |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(-.f64 x (/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) |
x |
(/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))) |
y |
#s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)) |
#s(literal -5641895835477563/5000000000000000 binary64) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) y x) |
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) |
#s(literal -1 binary64) |
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64)))) |
#s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))) |
(*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64)) |
(*.f64 z z) |
z |
#s(literal -5641895835477563/10000000000000000 binary64) |
y |
x |
(+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) x) |
(/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) |
(neg.f64 y) |
y |
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) |
(fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #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) |
(fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) |
x |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) x)))) y x) |
(-.f64 x (/.f64 y #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))) |
#s(literal -1 binary64) |
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) x))) |
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) |
#s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) x)) |
#s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) x) |
(fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) |
(+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) |
(/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) |
(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) |
x |
y |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) |
#s(literal 5000000000000000/5641895835477563 binary64) |
y |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(-.f64 x (/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) |
x |
(/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))) |
y |
#s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)) |
#s(literal -5641895835477563/5000000000000000 binary64) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) y x) |
(-.f64 x (/.f64 y #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64)))))) |
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) |
#s(literal -1 binary64) |
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64)))) |
#s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))) |
(*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64)) |
(*.f64 z z) |
z |
#s(literal -5641895835477563/10000000000000000 binary64) |
y |
x |
(+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) x) |
(-.f64 x (/.f64 y #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))) |
(/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) |
(neg.f64 y) |
y |
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) |
(fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #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) |
(fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.16015625 | (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) | |
| accuracy | 0.5546819952111204 | (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) | |
| accuracy | 9.675317862163366 | (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) | |
| accuracy | 22.522496947925884 | #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) | |
| accuracy | 0.46588448088977275 | (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) | |
| accuracy | 2.8609563639046627 | (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) y x) | |
| accuracy | 22.522496947925884 | #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64)))) | |
| accuracy | 34.806732352851945 | #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))) | |
| accuracy | 0 | (-.f64 x (/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) | |
| accuracy | 9.065292683841973 | (/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))) | |
| accuracy | 13.55093009407411 | #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) | |
| accuracy | 35.201793661370836 | #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)) | |
| accuracy | 0.375 | (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) | |
| accuracy | 13.55093009407411 | #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) | |
| accuracy | 47.54801153525105 | #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) | |
| accuracy | 2.8609563639046627 | (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) x)))) y x) | |
| accuracy | 3.9844482007417117 | (*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) x) | |
| accuracy | 4.621126033099368 | (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) | |
| accuracy | 22.522496947925884 | #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) x))) |
| 89.0ms | 256× | 0 | valid |
Compiled 799 to 87 computations (89.1% saved)
const: 21.0ms (30.4% of total)ival-add: 20.0ms (29% of total)ival-mult: 15.0ms (21.7% of total)ival-div: 7.0ms (10.1% of total)ival-exp: 2.0ms (2.9% of total)ival-sub: 1.0ms (1.4% of total)ival-neg: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) x)))) y x) |
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) x)))) |
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(-.f64 x (/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) |
(/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))) |
#s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) y x) |
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) |
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64)))) |
#s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))) |
(+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) x) |
(/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) |
(neg.f64 y) |
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) |
(/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) |
(fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) |
(fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) |
| Outputs |
|---|
(- (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) |
(- (+ (* x y) (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000))) 5641895835477563/5000000000000000) |
(* 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 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))))))) |
(/ 5000000000000000/5641895835477563 (exp z)) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(+ (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 2)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ y (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(+ (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 3)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ y (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(* -5641895835477563/5000000000000000 (exp z)) |
(+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) |
(* 5000000000000000/5641895835477563 y) |
(- (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))) (* -5000000000000000/5641895835477563 y)) |
(- (* x (+ 1 (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) (* -5000000000000000/5641895835477563 y)) |
(- (* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3))))))) (* -5000000000000000/5641895835477563 y)) |
(* -5000000000000000/5641895835477563 y) |
(+ (* -5000000000000000/5641895835477563 y) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2)))) |
(+ (* -5000000000000000/5641895835477563 y) (* x (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) |
(+ (* -5000000000000000/5641895835477563 y) (* x (- (* x (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3)))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) |
-5641895835477563/5000000000000000 |
(- (* x y) 5641895835477563/5000000000000000) |
(+ (* 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 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))))) |
(/ (- (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) x) |
(* x y) |
(* x (- (+ y (/ (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) x)) (* 5641895835477563/5000000000000000 (/ 1 x)))) |
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 y)) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y)) x) |
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y))) x) |
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 4)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 3)))) (/ 1 y)))) x) |
(* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x)))) |
(* x (+ 1 (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) (pow x 2))))) |
(* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) (pow x 3)))) (/ 1 (pow x 2)))) |
(/ 1 x) |
(/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x) |
(/ (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 2) (pow y 2))))) x) |
(/ (+ 1 (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 3) (pow y 3)))) (/ 5641895835477563/5000000000000000 (* x y))))) x) |
(* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))) |
(/ -1 x) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x) |
(/ (- (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* x y)))) 1) x) |
(/ (- (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))))) 1) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) 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 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y)) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 3)))) (* 5641895835477563/5000000000000000 (/ (exp z) (pow y 2)))) x)) (/ 1 y)) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 4)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 3)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow y 2)))) x)) (/ 1 y)) x)) |
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x))))) |
(* -1 (* x (- (+ (/ 1 (pow x 2)) (/ 5641895835477563/5000000000000000 (* (pow x 3) y))) 1))) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 4) (pow y 2)))) (/ 1 (pow x 2)))) 1))) |
(* -1 (/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* x (pow y 2))) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 2) (pow y 3))))) x)) 1) x)) |
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x))))) |
(* -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 (/ (+ (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3))))) x))) x))) x)) |
(* x (- (/ (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) x) (* 5641895835477563/5000000000000000 (/ 1 x)))) |
(+ (* x y) (* x (- (/ (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) x) (* 5641895835477563/5000000000000000 (/ 1 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 (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(+ (* 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 (* 5000000000000000/5641895835477563 y)) |
(+ x (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))))) |
(+ x (* y (+ 5000000000000000/5641895835477563 (* y (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* 25000000000000000000000000000000/31830988618379068626528276418969 x)))))) |
(* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563)) |
(* y (- (* y (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* 25000000000000000000000000000000/31830988618379068626528276418969 x))) 5000000000000000/5641895835477563)) |
(* y (- (* y (- (* y (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 3) y)) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow x 2)))) (* 25000000000000000000000000000000/31830988618379068626528276418969 x))) 5000000000000000/5641895835477563)) |
(* 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 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))) (* y (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* (pow x 3) y) (pow (exp z) 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow x 2) (pow (exp z) 3))))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))) |
(* -1 y) |
(* y (+ x (/ (* x (- (/ (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) x) (* 5641895835477563/5000000000000000 (/ 1 x)))) y))) |
(- 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)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))))) (/ 1 x)) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)) y) |
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))) y) |
(/ (- (* -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) |
(* y (+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))) |
(- x (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y))))) |
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y)))) y))) (/ 1 x)) |
(- (+ x (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) y)))) (pow y 2)))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y)))) |
(+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))) |
(+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) (pow y 2))))) |
(+ (/ 1 x) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) (pow y 2)))) (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) (pow y 3)))) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))) |
(* y (- x (* 5641895835477563/5000000000000000 (/ 1 y)))) |
(* y (- (+ x (/ (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) y)) (* 5641895835477563/5000000000000000 (/ 1 y)))) |
(- (* -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)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- (/ (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) x) (* 5641895835477563/5000000000000000 (/ 1 x)))) y))))) |
(- (+ x (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) 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 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x)) y)) |
(* -1 (/ (+ (* -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)) y)) |
(* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))))) |
(- (+ x (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y))) (/ 1 x)) |
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) y)) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 4) (pow y 2))))) y))) (/ 1 x)) |
(+ (* -1 (/ (- (* -1 (/ (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y)) (/ 1 x)) |
(* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) y))))) |
(- (* -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)) |
(+ (* -5641895835477563/5000000000000000 z) (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x))))) |
(+ (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))) (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000))) |
(+ x (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000)))) |
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))))) |
(+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))))))))) |
(+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/30000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))) (- (* x y) 5641895835477563/5000000000000000))))))))))))) |
(/ -1 (- (* x y) 5641895835477563/5000000000000000)) |
(- (* -5641895835477563/5000000000000000 (/ z (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (/ 1 (- (* x y) 5641895835477563/5000000000000000))) |
(- (* z (- (* -1 (* z (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))))) (* 5641895835477563/5000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))))) (/ 1 (- (* x y) 5641895835477563/5000000000000000))) |
(- (* z (- (* z (- (* -1 (* z (+ (* 5641895835477563/30000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (+ (* 31830988618379068626528276418969/50000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))) (- (* x y) 5641895835477563/5000000000000000))))))) (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))))) (* 5641895835477563/5000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))))) (/ 1 (- (* x y) 5641895835477563/5000000000000000))) |
(- (+ (* -5641895835477563/5000000000000000 z) (* x y)) 5641895835477563/5000000000000000) |
(- (+ (* x y) (* z (- (* z (- (* -5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))) 5641895835477563/5000000000000000) |
(* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) |
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000)))) |
(+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))))))) |
(+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/30000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))) (- (* x y) 5641895835477563/5000000000000000)))))))))))) |
(/ -5641895835477563/5000000000000000 x) |
(- (* -5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x))) |
(- (* z (- (* -5641895835477563/10000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))) (* 5641895835477563/5000000000000000 (/ 1 x))) |
(- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) |
(* -5641895835477563/10000000000000000 (pow z 2)) |
(* -1 (* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))) |
(* (pow z 2) (- (/ (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))) (pow z 2)) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))) |
(* (pow z 2) (- (/ (* x y) (pow z 2)) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))) |
(* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(* -5641895835477563/10000000000000000 (/ (pow z 2) x)) |
(* -1 (* (pow z 2) (+ (* 5641895835477563/10000000000000000 (/ 1 x)) (* 5641895835477563/5000000000000000 (/ 1 (* x z)))))) |
(* (pow z 2) (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (* 5641895835477563/5000000000000000 (/ 1 (* x z)))) z)) (* 5641895835477563/10000000000000000 (/ 1 x)))) |
(* -5641895835477563/10000000000000000 z) |
(* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))) |
(* (pow z 2) (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* -1 (/ (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))) z))) z)) 5641895835477563/10000000000000000)) |
(* (pow z 2) (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* -1 (/ (- (* x y) 5641895835477563/5000000000000000) z))) z)) 5641895835477563/10000000000000000)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 127.0ms | y | @ | inf | ((* (+ (/ (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) -5641895835477563/5000000000000000) x) y) x) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (* 5000000000000000/5641895835477563 y) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (/ y (+ (* x y) -5641895835477563/5000000000000000)) (+ (* x y) -5641895835477563/5000000000000000) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (+ (/ (neg y) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) x) (/ (neg y) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (neg y) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (/ (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) -5641895835477563/5000000000000000) x) (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000)) |
| 2.0ms | x | @ | 0 | ((* (+ (/ (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) -5641895835477563/5000000000000000) x) y) x) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (* 5000000000000000/5641895835477563 y) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (/ y (+ (* x y) -5641895835477563/5000000000000000)) (+ (* x y) -5641895835477563/5000000000000000) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (+ (/ (neg y) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) x) (/ (neg y) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (neg y) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (/ (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) -5641895835477563/5000000000000000) x) (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000)) |
| 2.0ms | x | @ | -inf | ((* (+ (/ (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) -5641895835477563/5000000000000000) x) y) x) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (* 5000000000000000/5641895835477563 y) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (/ y (+ (* x y) -5641895835477563/5000000000000000)) (+ (* x y) -5641895835477563/5000000000000000) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (+ (/ (neg y) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) x) (/ (neg y) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (neg y) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (/ (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) -5641895835477563/5000000000000000) x) (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000)) |
| 2.0ms | z | @ | inf | ((* (+ (/ (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) -5641895835477563/5000000000000000) x) y) x) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (* 5000000000000000/5641895835477563 y) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (/ y (+ (* x y) -5641895835477563/5000000000000000)) (+ (* x y) -5641895835477563/5000000000000000) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (+ (/ (neg y) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) x) (/ (neg y) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (neg y) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (/ (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) -5641895835477563/5000000000000000) x) (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000)) |
| 2.0ms | y | @ | -inf | ((* (+ (/ (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) -5641895835477563/5000000000000000) x) y) x) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (* 5000000000000000/5641895835477563 y) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (/ y (+ (* x y) -5641895835477563/5000000000000000)) (+ (* x y) -5641895835477563/5000000000000000) (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (+ (/ (neg y) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) x) (/ (neg y) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (neg y) (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (/ (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) -5641895835477563/5000000000000000) x) (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 688 | 3178 |
| 1 | 2041 | 3110 |
| 2 | 6104 | 3064 |
| 0 | 8218 | 2813 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) |
(- (+ (* x y) (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000))) 5641895835477563/5000000000000000) |
(* 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 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))))))) |
(/ 5000000000000000/5641895835477563 (exp z)) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(+ (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 2)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ y (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(+ (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 3)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ y (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(* -5641895835477563/5000000000000000 (exp z)) |
(+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) |
(* 5000000000000000/5641895835477563 y) |
(- (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))) (* -5000000000000000/5641895835477563 y)) |
(- (* x (+ 1 (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) (* -5000000000000000/5641895835477563 y)) |
(- (* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3))))))) (* -5000000000000000/5641895835477563 y)) |
(* -5000000000000000/5641895835477563 y) |
(+ (* -5000000000000000/5641895835477563 y) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2)))) |
(+ (* -5000000000000000/5641895835477563 y) (* x (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) |
(+ (* -5000000000000000/5641895835477563 y) (* x (- (* x (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3)))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) |
-5641895835477563/5000000000000000 |
(- (* x y) 5641895835477563/5000000000000000) |
(+ (* 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)))))) |
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(* -5641895835477563/10000000000000000 (pow z 2)) |
(* -1 (* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))) |
(* (pow z 2) (- (/ (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))) (pow z 2)) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))) |
(* (pow z 2) (- (/ (* x y) (pow z 2)) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))) |
(* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(* -5641895835477563/10000000000000000 (/ (pow z 2) x)) |
(* -1 (* (pow z 2) (+ (* 5641895835477563/10000000000000000 (/ 1 x)) (* 5641895835477563/5000000000000000 (/ 1 (* x z)))))) |
(* (pow z 2) (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (* 5641895835477563/5000000000000000 (/ 1 (* x z)))) z)) (* 5641895835477563/10000000000000000 (/ 1 x)))) |
(* -5641895835477563/10000000000000000 z) |
(* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))) |
(* (pow z 2) (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* -1 (/ (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))) z))) z)) 5641895835477563/10000000000000000)) |
(* (pow z 2) (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* -1 (/ (- (* x y) 5641895835477563/5000000000000000) z))) z)) 5641895835477563/10000000000000000)) |
| Outputs |
|---|
(- (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) |
(fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) |
(- (+ (* x y) (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000))) 5641895835477563/5000000000000000) |
(fma.f64 y x (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64))) |
(* 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 (fma.f64 (*.f64 (/.f64 x (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) y x) |
(+ (* 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 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) x) (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (/.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 1 binary64))) x (*.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))) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))))))) |
(fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y (fma.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (pow.f64 (exp.f64 z) #s(literal 4 binary64))))) x (*.f64 (*.f64 y y) (/.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (pow.f64 (exp.f64 z) #s(literal 2 binary64))))) x x)) |
(/ 5000000000000000/5641895835477563 (exp z)) |
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(fma.f64 (*.f64 (/.f64 x (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) |
(+ (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 2)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ y (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(fma.f64 (fma.f64 (/.f64 y (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64)) (pow.f64 (exp.f64 z) #s(literal 3 binary64)))) x (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) |
(+ (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 3)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ y (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y y)) (pow.f64 (exp.f64 z) #s(literal 3 binary64)))) x (*.f64 (/.f64 y (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) x (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) |
(* -5641895835477563/5000000000000000 (exp z)) |
(*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) |
(+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) |
(fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) |
(* 5000000000000000/5641895835477563 y) |
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) |
(- (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))) (* -5000000000000000/5641895835477563 y)) |
(fma.f64 (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x) #s(literal 5000000000000000/5641895835477563 binary64)) y x) |
(- (* x (+ 1 (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) (* -5000000000000000/5641895835477563 y)) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (fma.f64 (*.f64 y y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 1 binary64))) x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(- (* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3))))))) (* -5000000000000000/5641895835477563 y)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64))) x (fma.f64 (*.f64 y y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 1 binary64))) x (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(* -5000000000000000/5641895835477563 y) |
(*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y) |
(+ (* -5000000000000000/5641895835477563 y) (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x) #s(literal -5000000000000000/5641895835477563 binary64)) y) |
(+ (* -5000000000000000/5641895835477563 y) (* x (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y) (*.f64 #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) x (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)) |
(+ (* -5000000000000000/5641895835477563 y) (* x (- (* x (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3)))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y) (*.f64 (fma.f64 #s(literal -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) x)) x (*.f64 #s(literal -5000000000000000/5641895835477563 binary64) y)) |
-5641895835477563/5000000000000000 |
#s(literal -5641895835477563/5000000000000000 binary64) |
(- (* x y) 5641895835477563/5000000000000000) |
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 x (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) y) |
(+ (* 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 y y) (/.f64 #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 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 x (pow.f64 (exp.f64 z) #s(literal 2 binary64))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) y (*.f64 (*.f64 x x) (fma.f64 (pow.f64 (/.f64 y (exp.f64 z)) #s(literal 3 binary64)) #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (pow.f64 (exp.f64 z) #s(literal 4 binary64))))))) |
(/ (- (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* x (- (+ y (/ (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) x)) (* 5641895835477563/5000000000000000 (/ 1 x)))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) x) z y) x #s(literal -5641895835477563/5000000000000000 binary64)) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) 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)) (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) x) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y)) x) |
(/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (exp.f64 z) x) y) #s(literal -5641895835477563/5000000000000000 binary64) #s(literal -1 binary64)) x) y) |
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) y) y) (/.f64 (fma.f64 (/.f64 (/.f64 (exp.f64 z) x) y) #s(literal -5641895835477563/5000000000000000 binary64) #s(literal -1 binary64)) x)) y) |
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 4)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 3)))) (/ 1 y)))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (/.f64 (exp.f64 z) x) #s(literal 3 binary64)) (-.f64 (/.f64 (*.f64 (/.f64 (/.f64 (exp.f64 z) y) y) #s(literal -5641895835477563/5000000000000000 binary64)) x) (fma.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) x) x) (/.f64 #s(literal 1 binary64) y)))) x) |
(* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x)))) |
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal -5641895835477563/5000000000000000 binary64) y) x) |
(* x (+ 1 (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) (pow x 2))))) |
(fma.f64 (neg.f64 x) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) #s(literal 1 binary64)) (*.f64 x x)) x) |
(* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) (pow x 3)))) (/ 1 (pow x 2)))) |
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x) |
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) #s(literal 1 binary64)) x) |
(/ (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 2) (pow y 2))))) x) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (*.f64 (*.f64 y y) x) x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) x) |
(/ (+ 1 (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 3) (pow y 3)))) (/ 5641895835477563/5000000000000000 (* x y))))) x) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (*.f64 (*.f64 y y) x) x)) #s(literal 1 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))) x) |
(* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))) |
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x) |
(/.f64 (fma.f64 (/.f64 (/.f64 (exp.f64 z) x) y) #s(literal -5641895835477563/5000000000000000 binary64) #s(literal -1 binary64)) x) |
(/ (- (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* x y)))) 1) x) |
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(- (* z (- (* z (- (* -1 (* z (+ (* 5641895835477563/30000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (+ (* 31830988618379068626528276418969/50000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))) (- (* x y) 5641895835477563/5000000000000000))))))) (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))))) (* 5641895835477563/5000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))))) (/ 1 (- (* x y) 5641895835477563/5000000000000000))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 5641895835477563/30000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))) z (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))))) z (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)))) z (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) |
(- (+ (* -5641895835477563/5000000000000000 z) (* x y)) 5641895835477563/5000000000000000) |
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) |
(- (+ (* x y) (* z (- (* z (- (* -5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))) 5641895835477563/5000000000000000) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/30000000000000000 binary64) z #s(literal -5641895835477563/10000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) |
(* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) |
(/.f64 (neg.f64 y) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) |
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000)))) |
(fma.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) y) (/.f64 z (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 y) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) |
(+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/10000000000000000 binary64))) z (*.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (/.f64 (neg.f64 y) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) |
(+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/30000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))) (- (* x y) 5641895835477563/5000000000000000)))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/10000000000000000 binary64))) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 #s(literal -5641895835477563/30000000000000000 binary64) (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64)))))) z (fma.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/10000000000000000 binary64)))) z (*.f64 (/.f64 y (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (/.f64 (neg.f64 y) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) |
(/ -5641895835477563/5000000000000000 x) |
(/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) |
(- (* -5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x))) |
(fma.f64 (/.f64 z x) #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x)) |
(- (* z (- (* -5641895835477563/10000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x)))) (* 5641895835477563/5000000000000000 (/ 1 x))) |
(/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) |
(- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) |
(fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) |
(* -5641895835477563/10000000000000000 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64)) |
(* -1 (* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))) |
(*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z) |
(* (pow z 2) (- (/ (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))) (pow z 2)) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))) |
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) z) z) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(literal 5641895835477563/10000000000000000 binary64))) (*.f64 z z)) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(-.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(* (pow z 2) (- (/ (* x y) (pow z 2)) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 y (*.f64 z z)) x (-.f64 #s(literal -5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) z)) (*.f64 z z)) |
(* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(* -5641895835477563/10000000000000000 (/ (pow z 2) x)) |
(*.f64 (*.f64 z (/.f64 z x)) #s(literal -5641895835477563/10000000000000000 binary64)) |
(* -1 (* (pow z 2) (+ (* 5641895835477563/10000000000000000 (/ 1 x)) (* 5641895835477563/5000000000000000 (/ 1 (* x z)))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) x) (/.f64 #s(literal -5641895835477563/10000000000000000 binary64) x)) (*.f64 z z)) |
(* (pow z 2) (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (* 5641895835477563/5000000000000000 (/ 1 (* x z)))) z)) (* 5641895835477563/10000000000000000 (/ 1 x)))) |
(*.f64 (-.f64 (/.f64 #s(literal -5641895835477563/10000000000000000 binary64) x) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) z)) (*.f64 z z)) |
(* -5641895835477563/10000000000000000 z) |
(*.f64 #s(literal -5641895835477563/10000000000000000 binary64) z) |
(* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))) |
(fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) |
(* (pow z 2) (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* -1 (/ (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))) z))) z)) 5641895835477563/10000000000000000)) |
(*.f64 (-.f64 #s(literal -5641895835477563/10000000000000000 binary64) (/.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) z)) z)) (*.f64 z z)) |
(* (pow z 2) (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* -1 (/ (- (* x y) 5641895835477563/5000000000000000) z))) z)) 5641895835477563/10000000000000000)) |
(*.f64 (-.f64 #s(literal -5641895835477563/10000000000000000 binary64) (/.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) z)) z)) (*.f64 z z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 398 |
| 0 | 73 | 396 |
| 1 | 294 | 395 |
| 2 | 2277 | 395 |
| 0 | 8901 | 384 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) x)))) y x) |
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) x)))) |
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(-.f64 x (/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) |
(/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))) |
#s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) y x) |
(/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) |
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64)))) |
#s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))) |
(+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) x) |
(/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) |
(neg.f64 y) |
#s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) |
(/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) |
(fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) |
(fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) |
| Outputs |
|---|
(*.f64 (+.f64 y (/.f64 (fma.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x)) x) |
(*.f64 x (+.f64 y (/.f64 (fma.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x))) |
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(fma.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 (fma.f64 y x #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z)) |
(fma.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 (fma.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal -1 binary64)) (*.f64 y x)) |
(fma.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 y x) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z)) |
(fma.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z) #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z) #s(literal 2 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (*.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal -1 binary64)) (*.f64 y x)) |
(fma.f64 y x (fma.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64))) |
(fma.f64 x y (fma.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64))) |
(fma.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) |
(fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z) #s(literal 2 binary64)) (fma.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z (neg.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) (/.f64 (pow.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 2 binary64)) (fma.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z (neg.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))) |
(+.f64 (fma.f64 y x (*.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z)) #s(literal -5641895835477563/5000000000000000 binary64)) |
(+.f64 (*.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) |
(+.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z)) |
(+.f64 (*.f64 y x) (fma.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64))) |
(+.f64 (fma.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 y x)) |
(+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 y x (*.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z))) |
(*.f64 (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (pow.f64 (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64)))) (fma.f64 #s(literal -179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z)))) (neg.f64 (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z)) (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (*.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/.f64 (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z))) (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (neg.f64 (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z)) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64)))))) |
(/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
(/.f64 (fma.f64 #s(literal -179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z)) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64))))) |
(/.f64 (fma.f64 #s(literal -179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64)))) (fma.f64 #s(literal -179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64)))) (fma.f64 #s(literal -179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))))) |
(fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) |
(fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z)) (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(+.f64 (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) |
(+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) |
Compiled 27 514 to 2 776 computations (89.9% saved)
18 alts after pruning (10 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 538 | 5 | 543 |
| Fresh | 0 | 5 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 540 | 18 | 558 |
| Status | Accuracy | Program |
|---|---|---|
| 67.9% | (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) | |
| ✓ | 68.0% | (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 x y))) y x) |
| ✓ | 41.5% | (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) y x) |
| 47.7% | (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) #s(approx (* (+ (/ (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) -5641895835477563/5000000000000000) x) y) x) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z))))) y x) | |
| 69.0% | (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) #s(approx (* (+ (/ (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) -5641895835477563/5000000000000000) x) y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) x))))) y x) | |
| 57.4% | (fma.f64 #s(approx (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) y x) | |
| 80.8% | (-.f64 x (/.f64 y #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x (fma.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)))))) | |
| 41.5% | (+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) x) | |
| ✓ | 78.9% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
| ✓ | 78.2% | (+.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)))) |
| ✓ | 72.4% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
| ✓ | 78.7% | #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) |
| ✓ | 55.6% | #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
| 55.5% | #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)) y)))) | |
| 15.5% | #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) | |
| 44.4% | #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) y x))) | |
| 55.5% | #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))) | |
| ✓ | 15.3% | #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
Compiled 1 325 to 548 computations (58.6% saved)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) y x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 x y))) y x) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)) y)))) |
(+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) x) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) y 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)))) |
(fma.f64 #s(approx (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) y x) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) #s(approx (* (+ (/ (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) -5641895835477563/5000000000000000) x) y) x) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z))))) y x) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(-.f64 x (/.f64 y #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x (fma.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) 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 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y))) |
(+.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)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) #s(approx (* (+ (/ (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) -5641895835477563/5000000000000000) x) y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) x))))) y x) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) x)))) 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 (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (*.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)) |
(fma.f64 #s(approx (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) y x) |
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) 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 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.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)) |
6 calls:
| 184.0ms | x |
| 33.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 10.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 10.0ms | z |
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.0% | 1 | x |
| 94.0% | 1 | y |
| 99.9% | 3 | z |
| 99.8% | 3 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 99.9% | 3 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 99.9% | 3 | (exp.f64 z) |
Compiled 21 to 29 computations (-38.1% saved)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) y x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 x y))) y x) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)) y)))) |
(+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) x) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) y 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)))) |
(fma.f64 #s(approx (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) y x) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) #s(approx (* (+ (/ (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) -5641895835477563/5000000000000000) x) y) x) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z))))) y x) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(-.f64 x (/.f64 y #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x (fma.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) 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 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y))) |
(+.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)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) #s(approx (* (+ (/ (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) -5641895835477563/5000000000000000) x) y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) x))))) y x) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) x)))) 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 (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (*.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)) |
(fma.f64 #s(approx (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))) y x) |
| Outputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(-.f64 x (/.f64 y #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x (fma.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)))))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x)) |
4 calls:
| 25.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 9.0ms | z |
| 7.0ms | (exp.f64 z) |
| 7.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.8% | 3 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 99.7% | 3 | z |
| 99.7% | 3 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 99.7% | 3 | (exp.f64 z) |
Compiled 19 to 23 computations (-21.1% saved)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) y x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 x y))) y x) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)) y)))) |
(+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) x) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) y 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)))) |
(fma.f64 #s(approx (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) y x) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) #s(approx (* (+ (/ (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) -5641895835477563/5000000000000000) x) y) x) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z))))) y x) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(-.f64 x (/.f64 y #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x (fma.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) 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 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y))) |
(+.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)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) #s(approx (* (+ (/ (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) -5641895835477563/5000000000000000) x) y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) x))))) y x) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) x)))) 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 (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (*.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))) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) x)))) y x) |
3 calls:
| 33.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 9.0ms | z |
| 7.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 2 | z |
| 98.2% | 2 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 98.2% | 2 | (exp.f64 z) |
Compiled 7 to 13 computations (-85.7% saved)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) y x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 x y))) y x) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)) y)))) |
(+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) x) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) y 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)))) |
(fma.f64 #s(approx (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) y x) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) #s(approx (* (+ (/ (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) -5641895835477563/5000000000000000) x) y) x) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z))))) y x) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(-.f64 x (/.f64 y #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x (fma.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) 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 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y))) |
(+.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)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) #s(approx (* (+ (/ (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) -5641895835477563/5000000000000000) x) y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) x))))) y x) |
| Outputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(-.f64 x (/.f64 y #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x (fma.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)))))) |
3 calls:
| 36.0ms | z |
| 6.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 6.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 2 | z |
| 97.1% | 2 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 97.1% | 2 | (exp.f64 z) |
Compiled 7 to 13 computations (-85.7% saved)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) y x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 x y))) y x) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)) y)))) |
(+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) x) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) y 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)))) |
(fma.f64 #s(approx (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) y x) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) #s(approx (* (+ (/ (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) -5641895835477563/5000000000000000) x) y) x) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z))))) y x) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) 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)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) #s(approx (* (+ (/ (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) -5641895835477563/5000000000000000) x) y) x) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z))))) y x) |
5 calls:
| 16.0ms | z |
| 6.0ms | y |
| 6.0ms | x |
| 5.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 5.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.7% | 1 | x |
| 78.7% | 1 | y |
| 97.0% | 3 | z |
| 96.3% | 3 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 96.3% | 3 | (exp.f64 z) |
Compiled 9 to 19 computations (-111.1% saved)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) y x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 x y))) y x) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)) y)))) |
(+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) x) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) y 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)))) |
(fma.f64 #s(approx (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) 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)))) |
(+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) x) |
1 calls:
| 5.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 3 | z |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) y x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 x y))) y x) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)) y)))) |
(+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) x) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) y x) |
| Outputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) x) |
1 calls:
| 41.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 3 | z |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) y x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 x) y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (*.f64 x y))) y x) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)) y)))) |
| Outputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) |
4 calls:
| 4.0ms | z |
| 4.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 3.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 3.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.1% | 3 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 91.1% | 2 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 91.1% | 2 | (exp.f64 z) |
| 91.1% | 2 | z |
Compiled 19 to 23 computations (-21.1% saved)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) y x))) |
| Outputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
4 calls:
| 58.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 2.0ms | z |
| 2.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 2.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.3% | 3 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 80.3% | 3 | z |
| 79.5% | 3 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 79.5% | 3 | (exp.f64 z) |
Compiled 19 to 23 computations (-21.1% saved)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
| Outputs |
|---|
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
6 calls:
| 2.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 2.0ms | y |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.6% | 1 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 55.6% | 1 | (exp.f64 z) |
| 55.6% | 1 | z |
| 55.6% | 1 | x |
| 55.6% | 1 | y |
| 55.6% | 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)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))) |
| Outputs |
|---|
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))) |
6 calls:
| 2.0ms | z |
| 2.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 2.0ms | y |
| 2.0ms | x |
| 1.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.5% | 1 | y |
| 55.5% | 1 | z |
| 55.5% | 1 | x |
| 55.5% | 1 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 55.5% | 1 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 55.5% | 1 | (exp.f64 z) |
Compiled 21 to 29 computations (-38.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
| Outputs |
|---|
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
6 calls:
| 1.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 15.3% | 1 | y |
| 15.3% | 1 | z |
| 15.3% | 1 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 15.3% | 1 | x |
| 15.3% | 1 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 15.3% | 1 | (exp.f64 z) |
Compiled 21 to 29 computations (-38.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000008542857837 | +inf |
| 0.0ms | 0.0 | 2.351250867213009e-9 |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000008542857837 | +inf |
| 0.0ms | 0.0 | 2.351250867213009e-9 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.351250867213009e-9 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.351250867213009e-9 |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 4.8981204825515465e+89 | 2.275628194283815e+96 |
| 55.0ms | -12335129.11890613 | -19.86831836648275 |
| 60.0ms | 288× | 0 | valid |
Compiled 915 to 664 computations (27.4% saved)
const: 5.0ms (30.5% of total)ival-mult: 4.0ms (24.4% of total)ival-exp: 3.0ms (18.3% of total)ival-div: 2.0ms (12.2% of total)ival-sub: 1.0ms (6.1% of total)ival-add: 1.0ms (6.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.8981204825515465e+89 | 2.275628194283815e+96 |
| 1.0ms | -12335129.11890613 | -19.86831836648275 |
Compiled 762 to 610 computations (19.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.8981204825515465e+89 | 2.275628194283815e+96 |
| 1.0ms | -12335129.11890613 | -19.86831836648275 |
Compiled 870 to 682 computations (21.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 69.0ms | 0.0 | 2.351250867213009e-9 |
| 60.0ms | 224× | 0 | valid |
Compiled 561 to 464 computations (17.3% saved)
ival-div: 46.0ms (84.3% of total)ival-mult: 3.0ms (5.5% of total)const: 3.0ms (5.5% of total)ival-sub: 1.0ms (1.8% of total)ival-add: 1.0ms (1.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.037241285150397e-5 | 854.2373720616665 |
| 0.0ms | -9.970576347976918 | -0.055822620926360735 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 121 | 693 |
| 1 | 149 | 691 |
| 2 | 185 | 691 |
| 3 | 206 | 691 |
| 4 | 220 | 691 |
| 5 | 224 | 691 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (exp.f64 z) #s(literal 0 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 2 binary64)) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.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 0 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 2 binary64)) (-.f64 x (/.f64 y #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x (fma.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)))))) #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 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) x)))) y x)) |
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (-.f64 x (/.f64 y #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x (fma.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64))))))) |
(if (<=.f64 z #s(literal -140 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal 510000000000000027007400221755061891809950525779510161573632110643130869988354191913910272 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)))) (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) #s(approx (* (+ (/ (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) -5641895835477563/5000000000000000) x) y) x) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z))))) y x))) |
(if (<=.f64 z #s(literal -140 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal 510000000000000027007400221755061891809950525779510161573632110643130869988354191913910272 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)))) (+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) x))) |
(if (<=.f64 z #s(literal -140 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal 499999999999999983242056357731950024912593046310062751489837298654589877718689615343255552 binary64)) #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) x))) |
(if (<=.f64 (exp.f64 z) #s(literal 2572236175320287/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))) |
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal -5 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 7378697629483821/73786976294838206464 binary64)) #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
| Outputs |
|---|
(if (<=.f64 (exp.f64 z) #s(literal 0 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 2 binary64)) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.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 0 binary64)) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) x) #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 0 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 2 binary64)) (-.f64 x (/.f64 y #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x (fma.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)))))) #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 0 binary64)) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (-.f64 x (/.f64 y #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x (fma.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)))))) #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 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) x)))) y x)) |
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) x) y) x)))) y x)) |
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (-.f64 x (/.f64 y #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x (fma.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64))))))) |
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) (-.f64 x (/.f64 y #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) (fma.f64 y x (fma.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64))))))) |
(if (<=.f64 z #s(literal -140 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal 510000000000000027007400221755061891809950525779510161573632110643130869988354191913910272 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)))) (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) #s(approx (* (+ (/ (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) -5641895835477563/5000000000000000) x) y) x) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z))))) y x))) |
(if (<=.f64 z #s(literal -140 binary64)) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) (if (<=.f64 z #s(literal 510000000000000027007400221755061891809950525779510161573632110643130869988354191913910272 binary64)) (+.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 y x))) x) (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) #s(approx (* (+ (/ (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) -5641895835477563/5000000000000000) x) y) x) (*.f64 (fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) z #s(literal -5641895835477563/5000000000000000 binary64)) z))))) y x))) |
(if (<=.f64 z #s(literal -140 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal 510000000000000027007400221755061891809950525779510161573632110643130869988354191913910272 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)))) (+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) x))) |
(if (<=.f64 z #s(literal -140 binary64)) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) (if (<=.f64 z #s(literal 510000000000000027007400221755061891809950525779510161573632110643130869988354191913910272 binary64)) (+.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 y x))) x) (-.f64 x (/.f64 y #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64)))))))) |
(if (<=.f64 z #s(literal -140 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal 499999999999999983242056357731950024912593046310062751489837298654589877718689615343255552 binary64)) #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (+.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64))))) x))) |
(if (<=.f64 z #s(literal -140 binary64)) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) (if (<=.f64 z #s(literal 499999999999999983242056357731950024912593046310062751489837298654589877718689615343255552 binary64)) #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) (-.f64 x (/.f64 y #s(approx (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x)) #s(approx (+ (* (+ (* -5641895835477563/10000000000000000 z) -5641895835477563/5000000000000000) z) (+ (* x y) -5641895835477563/5000000000000000)) (*.f64 (*.f64 z z) #s(literal -5641895835477563/10000000000000000 binary64)))))))) |
(if (<=.f64 (exp.f64 z) #s(literal 2572236175320287/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))) |
(if (<=.f64 (exp.f64 z) #s(literal 2572236175320287/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544 binary64)) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))))) |
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal -5 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 7378697629483821/73786976294838206464 binary64)) #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))))) |
(if (<=.f64 (+.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) x) #s(literal -5 binary64)) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) (if (<=.f64 (+.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) x) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* x y) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))) |
#s(approx (+ (* (/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* y x))) y) x) #s(approx (- x (/ y (+ (* x y) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 688 | 3178 |
| 1 | 2041 | 3110 |
| 2 | 6104 | 3064 |
| 0 | 8218 | 2813 |
| 0 | 50 | 398 |
| 0 | 73 | 396 |
| 1 | 294 | 395 |
| 2 | 2277 | 395 |
| 0 | 8901 | 384 |
| 0 | 303 | 1507 |
| 1 | 865 | 1491 |
| 2 | 2565 | 1415 |
| 0 | 8211 | 1334 |
| 0 | 757 | 3703 |
| 1 | 2242 | 3630 |
| 2 | 6560 | 3594 |
| 0 | 8092 | 3327 |
| 0 | 46 | 329 |
| 0 | 71 | 329 |
| 1 | 322 | 328 |
| 2 | 2460 | 328 |
| 0 | 8190 | 309 |
| 0 | 554 | 2946 |
| 1 | 1630 | 2891 |
| 2 | 4794 | 2828 |
| 0 | 8638 | 2611 |
| 0 | 10 | 34 |
| 0 | 16 | 34 |
| 1 | 57 | 34 |
| 2 | 451 | 34 |
| 3 | 7444 | 34 |
| 0 | 8118 | 33 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
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| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
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| 1× | iter limit |
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Compiled 1 418 to 621 computations (56.2% saved)
Compiled 1 430 to 290 computations (79.7% saved)
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