
Time bar (total: 11.2s)
| 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)
| 1.2s | 8 256× | 0 | valid |
const: 249.0ms (31.6% of total)ival-mult: 180.0ms (22.8% of total)ival-exp: 153.0ms (19.4% of total)ival-div: 78.0ms (9.9% of total)ival-sub: 63.0ms (8% of total)ival-add: 56.0ms (7.1% of total)ival-true: 6.0ms (0.8% of total)ival-assert: 3.0ms (0.4% of total)| 1× | egg-herbie |
| 304× | accelerator-lowering-fma.f32 |
| 304× | accelerator-lowering-fma.f64 |
| 256× | distribute-lft-neg-in |
| 240× | sub-neg |
| 214× | cancel-sign-sub-inv |
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 |
| 1 | 18 | 12 |
| 2 | 30 | 12 |
| 3 | 42 | 12 |
| 4 | 65 | 12 |
| 5 | 95 | 12 |
| 6 | 154 | 12 |
| 7 | 224 | 12 |
| 8 | 317 | 12 |
| 9 | 425 | 12 |
| 10 | 588 | 12 |
| 11 | 601 | 12 |
| 12 | 616 | 12 |
| 13 | 655 | 12 |
| 0 | 655 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
| Outputs |
|---|
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(-.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 34 | 0 | - | 1 | (-1.6592420849380157e-124 -1.5352752094994542e-187 -4.44845095727777e+266) | (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) |
| 1 | 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 | 6 | 0 |
| ↳ | (exp.f64 z) | underflow | 56 | |
| ↳ | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) | underflow | 56 | |
| ↳ | (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) | underflow | 6 | |
| ↳ | (*.f64 x y) | underflow | 36 | |
-.f64 | (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) | nan-rescue | 1 | 0 |
| ↳ | (exp.f64 z) | overflow | 59 | |
| ↳ | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) | overflow | 59 | |
| ↳ | (*.f64 x y) | overflow | 33 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 7 | 1 |
| - | 0 | 248 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 7 | 0 | 1 |
| - | 0 | 0 | 248 |
| number | freq |
|---|---|
| 0 | 249 |
| 1 | 7 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 57.0ms | 512× | 0 | valid |
Compiled 120 to 44 computations (63.3% saved)
ival-sub: 8.0ms (21.6% of total)ival-mult: 8.0ms (21.6% of total)const: 8.0ms (21.6% of total)ival-exp: 6.0ms (16.2% of total)ival-div: 4.0ms (10.8% of total)ival-add: 2.0ms (5.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.2% | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
Compiled 15 to 10 computations (33.3% 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)))) |
| 304× | accelerator-lowering-fma.f32 |
| 304× | accelerator-lowering-fma.f64 |
| 192× | *-lowering-*.f32 |
| 192× | *-lowering-*.f64 |
| 88× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 43 |
| 1 | 18 | 43 |
| 2 | 30 | 43 |
| 3 | 42 | 43 |
| 4 | 65 | 43 |
| 5 | 95 | 43 |
| 6 | 154 | 43 |
| 7 | 224 | 43 |
| 8 | 317 | 43 |
| 9 | 425 | 43 |
| 10 | 588 | 43 |
| 11 | 601 | 43 |
| 12 | 616 | 43 |
| 13 | 655 | 43 |
| 0 | 655 | 42 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
x |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
y |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(* 5641895835477563/5000000000000000 (exp z)) |
5641895835477563/5000000000000000 |
(exp z) |
z |
(* x y) |
| Outputs |
|---|
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(-.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))) |
x |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) |
y |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y (neg.f64 x))) |
(* 5641895835477563/5000000000000000 (exp z)) |
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
5641895835477563/5000000000000000 |
#s(literal 5641895835477563/5000000000000000 binary64) |
(exp z) |
(exp.f64 z) |
z |
(* x y) |
(*.f64 x y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| ✓ | accuracy | 99.7% | (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) |
| ✓ | accuracy | 87.7% | (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) |
| 52.0ms | 256× | 0 | valid |
Compiled 45 to 12 computations (73.3% saved)
ival-mult: 4.0ms (27.4% of total)const: 4.0ms (27.4% of total)ival-div: 2.0ms (13.7% of total)ival-exp: 2.0ms (13.7% of total)ival-sub: 1.0ms (6.8% of total)ival-add: 1.0ms (6.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))> |
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))> |
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))> |
#<alt (* 5641895835477563/5000000000000000 (exp z))> |
| Outputs |
|---|
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))> |
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))> |
#<alt (+ (* 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))))))> |
#<alt (+ (* 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))))))> |
#<alt x> |
#<alt (* x (- 1 (/ 1 (pow x 2))))> |
#<alt (* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))> |
#<alt (* 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)))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))> |
#<alt (* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))> |
#<alt (* -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)))> |
#<alt x> |
#<alt (+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))> |
#<alt (+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))> |
#<alt (+ 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))))))> |
#<alt (- x (/ 1 x))> |
#<alt (- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))> |
#<alt (- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))> |
#<alt (- (+ 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))))> |
#<alt (- x (/ 1 x))> |
#<alt (- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))> |
#<alt (- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x))> |
#<alt (- (+ 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))> |
#<alt (+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))> |
#<alt (+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))> |
#<alt (+ 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)))))> |
#<alt (+ 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)))))> |
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))> |
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))> |
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))> |
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))> |
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))> |
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))> |
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))> |
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))> |
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))> |
#<alt (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))> |
#<alt (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))> |
#<alt (* 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)))))> |
#<alt (/ -1 x)> |
#<alt (- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))> |
#<alt (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))> |
#<alt (- (* -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))))> |
#<alt (/ -1 x)> |
#<alt (- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))> |
#<alt (- (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x))> |
#<alt (- (* -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))> |
#<alt (/ y (- 5641895835477563/5000000000000000 (* x y)))> |
#<alt (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))> |
#<alt (+ (* 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))))> |
#<alt (+ (* 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))))> |
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))> |
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))> |
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))> |
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))> |
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))> |
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))> |
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))> |
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))> |
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))> |
#<alt (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z))))> |
#<alt (+ (* 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))))))> |
#<alt (+ (* 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))))))> |
#<alt (/ -1 x)> |
#<alt (/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)> |
#<alt (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x)> |
#<alt (/ (- (* -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)> |
#<alt (/ -1 x)> |
#<alt (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))> |
#<alt (* -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))> |
#<alt (- 5641895835477563/5000000000000000 (* x y))> |
#<alt (- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))> |
#<alt (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y))> |
#<alt (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y))> |
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))> |
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))> |
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))> |
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))> |
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))> |
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))> |
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))> |
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))> |
#<alt (* 5641895835477563/5000000000000000 (exp z))> |
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))> |
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))> |
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))> |
#<alt (* -1 (* x y))> |
#<alt (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))> |
#<alt (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))> |
#<alt (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))> |
#<alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))> |
#<alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))> |
#<alt (* 5641895835477563/5000000000000000 (exp z))> |
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))> |
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))> |
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))> |
#<alt (* -1 (* x y))> |
#<alt (* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))> |
#<alt (* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))> |
#<alt (* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))> |
#<alt (* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))> |
#<alt (* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))> |
#<alt 5641895835477563/5000000000000000> |
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))> |
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))> |
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))> |
#<alt (* 5641895835477563/5000000000000000 (exp z))> |
#<alt (* 5641895835477563/5000000000000000 (exp z))> |
#<alt (* 5641895835477563/5000000000000000 (exp z))> |
#<alt (* 5641895835477563/5000000000000000 (exp z))> |
#<alt (* 5641895835477563/5000000000000000 (exp z))> |
#<alt (* 5641895835477563/5000000000000000 (exp z))> |
#<alt (* 5641895835477563/5000000000000000 (exp z))> |
#<alt (* 5641895835477563/5000000000000000 (exp z))> |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | y | @ | -inf | (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
| 1.0ms | z | @ | inf | (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
| 1.0ms | z | @ | 0 | (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
| 1.0ms | y | @ | inf | (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
| 1.0ms | z | @ | -inf | (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
| 1× | batch-egg-rewrite |
| 5 764× | accelerator-lowering-fma.f32 |
| 5 764× | accelerator-lowering-fma.f64 |
| 4 434× | *-lowering-*.f32 |
| 4 434× | *-lowering-*.f64 |
| 3 236× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 34 |
| 1 | 51 | 34 |
| 2 | 445 | 34 |
| 3 | 7428 | 34 |
| 0 | 8102 | 33 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 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)) |
| Outputs |
|---|
(+.f64 x (neg.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) |
(+.f64 (neg.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) x) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64)))))) |
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (/.f64 (*.f64 y y) (*.f64 (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal -2 binary64))) (-.f64 (neg.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) x)) (/.f64 (*.f64 x x) (-.f64 (neg.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) x))) |
(fma.f64 x #s(literal 1 binary64) (neg.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) |
(fma.f64 x (/.f64 x (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64)))))) |
(fma.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x) |
(fma.f64 (neg.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal 1 binary64) x) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x) |
(fma.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64)))))) |
(fma.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) (/.f64 y (-.f64 (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) x) |
(fma.f64 #s(literal 1 binary64) x (neg.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) x) |
(fma.f64 (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))))) 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 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #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)))) (neg.f64 y) x) |
(fma.f64 (/.f64 y (-.f64 (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) x) |
(fma.f64 (/.f64 y (-.f64 (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) (fma.f64 (neg.f64 (*.f64 x y)) (-.f64 (neg.f64 (*.f64 x y)) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)))) x) |
(fma.f64 (/.f64 y (-.f64 (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))))) x) |
(fma.f64 (/.f64 y (-.f64 (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) (*.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))))) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) x) |
(fma.f64 (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) x) |
(fma.f64 (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))))) (*.f64 (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) (*.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))))) (*.f64 y (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) x) |
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x) |
(fma.f64 (pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y) #s(literal -1/2 binary64)) x) |
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y))))))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) x) |
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y)))))) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) x) |
(fma.f64 (/.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) (neg.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))) x) |
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))))) (fma.f64 x (neg.f64 y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) x) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 y (neg.f64 y)) (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal -2 binary64)) (*.f64 x x))) (-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (neg.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (neg.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64)))))) |
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(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y))))) (-.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y)))) (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))))) |
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
| 1× | egg-herbie |
| 8 530× | accelerator-lowering-fma.f32 |
| 8 530× | accelerator-lowering-fma.f64 |
| 5 230× | *-lowering-*.f32 |
| 5 230× | *-lowering-*.f64 |
| 2 854× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 303 | 1957 |
| 1 | 865 | 1937 |
| 2 | 2563 | 1849 |
| 0 | 8206 | 1764 |
| 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)))))) |
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))))) |
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))) |
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)))))) |
(- 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)))) |
(- x (/ 1 x)) |
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 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)) |
(+ 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))))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(* 5000000000000000/5641895835477563 (/ y (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))))) |
(/ -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)))) |
(/ -1 x) |
(- (* -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)) |
(/ 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)))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(+ (* 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) (* 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) |
(* -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)) |
(- 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 (exp z)) (* x 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)) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(* -1 (* x y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(* -1 (* x y)) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(* 5641895835477563/5000000000000000 (exp z)) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(* -1 (* x y)) |
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x)) |
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x)) |
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x)) |
(* -1 (* x y)) |
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x)))) |
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x)))) |
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x)))) |
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 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
| Outputs |
|---|
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(fma.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (+.f64 z z)))) 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 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 y (exp.f64 (neg.f64 z))) (fma.f64 x (fma.f64 x (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 y (*.f64 y y)) (exp.f64 (+.f64 z (+.f64 z z))))) (/.f64 (*.f64 (*.f64 y y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (+.f64 z z)))) x)) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64)) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 y (*.f64 y y)) (exp.f64 (+.f64 z (+.f64 z z)))))) #s(literal 1 binary64)) (*.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (+.f64 z z)))))) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
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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 z (fma.f64 z (neg.f64 (fma.f64 z (fma.f64 (*.f64 (/.f64 y (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/10000000000000000 binary64))) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 (/.f64 y (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/30000000000000000 binary64)))) (*.f64 (/.f64 y (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/10000000000000000 binary64))))) (/.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(*.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (+.f64 z z))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 y (exp.f64 (neg.f64 z))) (*.f64 x (fma.f64 x (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 y (*.f64 y y)) (exp.f64 (+.f64 z (+.f64 z z))))) (/.f64 (*.f64 (*.f64 y y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (+.f64 z z)))))) |
(+ (* 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 x (*.f64 x (fma.f64 x (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64)) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 y (*.f64 y y)) (exp.f64 (+.f64 z (+.f64 z z))))))) (*.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (+.f64 z z)))))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x) |
(/.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal -1 binary64)) x) |
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x) |
(/.f64 (fma.f64 (exp.f64 (+.f64 z z)) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 y (*.f64 x x)))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal -1 binary64))) 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) |
(/.f64 (fma.f64 (exp.f64 (+.f64 z (+.f64 z z))) (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (fma.f64 (exp.f64 (+.f64 z z)) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 y (*.f64 x x)))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal -1 binary64)))) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)) |
(/.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal -1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(/.f64 (fma.f64 (exp.f64 (+.f64 z z)) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 y (*.f64 x x)))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal -1 binary64))) 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)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 (+.f64 z (+.f64 z z))) (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 y (*.f64 y (*.f64 y x))))) (fma.f64 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (*.f64 (exp.f64 (+.f64 z z)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 y (*.f64 y x))))) x)) (neg.f64 x)) |
(- 5641895835477563/5000000000000000 (* x y)) |
(fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) |
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y)) |
(fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y)) |
(-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x)) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y)) |
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(* 5641895835477563/5000000000000000 (exp z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(*.f64 x (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x) (neg.f64 y))) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(*.f64 x (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x) (neg.f64 y))) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(*.f64 x (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x) (neg.f64 y))) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(neg.f64 (*.f64 x (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y))) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(neg.f64 (*.f64 x (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y))) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(neg.f64 (*.f64 x (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y))) |
(* 5641895835477563/5000000000000000 (exp z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x)) |
(*.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y) (neg.f64 x))) |
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x)) |
(*.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y) (neg.f64 x))) |
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x)) |
(*.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y) (neg.f64 x))) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x)))) |
(*.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y) (neg.f64 x))) |
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x)))) |
(*.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y) (neg.f64 x))) |
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x)))) |
(*.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y) (neg.f64 x))) |
5641895835477563/5000000000000000 |
#s(literal 5641895835477563/5000000000000000 binary64) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) |
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
Compiled 13 451 to 1 116 computations (91.7% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 378 | 12 | 390 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 379 | 12 | 391 |
| Status | Accuracy | Program |
|---|---|---|
| 67.1% | (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x) | |
| 74.4% | (+.f64 x (fma.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))) | |
| ▶ | 85.5% | (+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))) |
| 82.6% | (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) | |
| ▶ | 81.6% | (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) |
| ▶ | 84.4% | (+.f64 x (/.f64 y (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x)))) |
| 67.2% | (+.f64 x (/.f64 y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) | |
| 64.5% | (+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) | |
| ▶ | 60.8% | (+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))) |
| 66.9% | (+.f64 x (/.f64 #s(literal -1 binary64) x)) | |
| 16.3% | (*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) | |
| ▶ | 70.2% | x |
Compiled 322 to 202 computations (37.3% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x)) |
| ✓ | cost-diff | 0 | (/.f64 y (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x))) |
| ✓ | cost-diff | 128 | (+.f64 x (/.f64 y (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x)))) |
| ✓ | cost-diff | 0 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))) |
| ✓ | cost-diff | 128 | (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) |
| ✓ | cost-diff | 0 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 x (neg.f64 x)) |
| ✓ | cost-diff | 0 | (+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))) |
| ✓ | cost-diff | 448 | (/.f64 x (*.f64 x (neg.f64 x))) |
| ✓ | cost-diff | 0 | (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) |
| ✓ | cost-diff | 128 | (+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))) |
| 8 102× | accelerator-lowering-fma.f32 |
| 8 102× | accelerator-lowering-fma.f64 |
| 3 392× | *-lowering-*.f32 |
| 3 392× | *-lowering-*.f64 |
| 1 372× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 206 |
| 1 | 81 | 193 |
| 2 | 178 | 193 |
| 3 | 328 | 193 |
| 4 | 627 | 193 |
| 5 | 1410 | 193 |
| 6 | 2620 | 193 |
| 7 | 3927 | 193 |
| 8 | 4872 | 193 |
| 9 | 6302 | 193 |
| 10 | 7835 | 193 |
| 0 | 8328 | 169 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) |
x |
(/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (+ (* y (neg x)) 5641895835477563/5000000000000000))) |
y |
(+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (+ (* y (neg x)) 5641895835477563/5000000000000000)) |
z |
(+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) |
(+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) |
5641895835477563/30000000000000000 |
5641895835477563/10000000000000000 |
5641895835477563/5000000000000000 |
(+ (* y (neg x)) 5641895835477563/5000000000000000) |
(neg x) |
x |
(+ x (/ x (* x (neg x)))) |
x |
(/ x (* x (neg x))) |
(* x (neg x)) |
(neg x) |
(+ x (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) |
x |
(/ y (+ (* y (neg x)) 5641895835477563/5000000000000000)) |
y |
(+ (* y (neg x)) 5641895835477563/5000000000000000) |
(neg x) |
5641895835477563/5000000000000000 |
(+ x (/ y (- (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) (* y x)))) |
x |
(/ y (- (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) (* y x))) |
y |
(- (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) (* y x)) |
(+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) |
z |
(+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000) |
5641895835477563/10000000000000000 |
5641895835477563/5000000000000000 |
(* y x) |
| Outputs |
|---|
(+ x (/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) |
(-.f64 x (/.f64 y (fma.f64 x y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -5641895835477563/30000000000000000 binary64) #s(literal -5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) |
x |
(/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (+ (* y (neg x)) 5641895835477563/5000000000000000))) |
(neg.f64 (/.f64 y (fma.f64 x y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -5641895835477563/30000000000000000 binary64) #s(literal -5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) |
y |
(+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (+ (* y (neg x)) 5641895835477563/5000000000000000)) |
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))) |
z |
(+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) |
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) |
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) |
5641895835477563/30000000000000000 |
#s(literal 5641895835477563/30000000000000000 binary64) |
5641895835477563/10000000000000000 |
#s(literal 5641895835477563/10000000000000000 binary64) |
5641895835477563/5000000000000000 |
#s(literal 5641895835477563/5000000000000000 binary64) |
(+ (* y (neg x)) 5641895835477563/5000000000000000) |
(fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) |
(neg x) |
(neg.f64 x) |
x |
(+ x (/ x (* x (neg x)))) |
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
x |
(/ x (* x (neg x))) |
(/.f64 #s(literal -1 binary64) x) |
(* x (neg x)) |
(*.f64 x (neg.f64 x)) |
(neg x) |
(neg.f64 x) |
(+ x (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) |
(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) |
x |
(/ y (+ (* y (neg x)) 5641895835477563/5000000000000000)) |
(/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))) |
y |
(+ (* y (neg x)) 5641895835477563/5000000000000000) |
(fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) |
(neg x) |
(neg.f64 x) |
5641895835477563/5000000000000000 |
#s(literal 5641895835477563/5000000000000000 binary64) |
(+ x (/ y (- (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) (* y x)))) |
(-.f64 x (/.f64 y (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) |
x |
(/ y (- (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) (* y x))) |
(/.f64 (neg.f64 y) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) |
y |
(- (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) (* y x)) |
(-.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) |
(+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) |
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
z |
(+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000) |
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
5641895835477563/10000000000000000 |
#s(literal 5641895835477563/10000000000000000 binary64) |
5641895835477563/5000000000000000 |
#s(literal 5641895835477563/5000000000000000 binary64) |
(* y x) |
(*.f64 x y) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | accuracy | 99.4% | (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x)) |
| ✓ | accuracy | 84.7% | (/.f64 y (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x))) |
| ✓ | accuracy | 100.0% | (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) |
| ✓ | accuracy | 87.7% | (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))) |
| ✓ | accuracy | 55.5% | (/.f64 x (*.f64 x (neg.f64 x))) |
| ✓ | accuracy | 100.0% | (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | accuracy | 99.6% | (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))) |
| ✓ | accuracy | 86.8% | (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) |
| 75.0ms | 256× | 0 | valid |
Compiled 180 to 32 computations (82.2% saved)
ival-div: 19.0ms (32.4% of total)ival-mult: 15.0ms (25.5% of total)const: 11.0ms (18.7% of total)ival-add: 10.0ms (17% of total)ival-sub: 2.0ms (3.4% of total)ival-neg: 1.0ms (1.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ x (/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (+ (* y (neg x)) 5641895835477563/5000000000000000))))> |
#<alt (/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (+ (* y (neg x)) 5641895835477563/5000000000000000)))> |
#<alt (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (+ (* y (neg x)) 5641895835477563/5000000000000000))> |
#<alt (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)> |
#<alt (/ x (* x (neg x)))> |
#<alt (+ x (/ x (* x (neg x))))> |
#<alt (* x (neg x))> |
#<alt (neg x)> |
#<alt (+ x (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000)))> |
#<alt (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))> |
#<alt (+ (* y (neg x)) 5641895835477563/5000000000000000)> |
#<alt (+ x (/ y (- (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) (* y x))))> |
#<alt (/ y (- (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) (* y x)))> |
#<alt (- (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) (* y x))> |
#<alt (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)> |
#<alt (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)> |
#<alt (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)> |
| Outputs |
|---|
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))> |
#<alt (+ (* x (- 1 (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))))> |
#<alt (+ (* x (- (+ 1 (/ (* x (pow y 3)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))))> |
#<alt (+ (* x (- (+ 1 (* x (- (/ (* x (pow y 4)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 4)) (* -1 (/ (pow y 3) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3)))))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))))> |
#<alt x> |
#<alt (* x (- 1 (/ 1 (pow x 2))))> |
#<alt (* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y)) (pow x 3)))) (/ 1 (pow x 2))))> |
#<alt (* x (- (+ 1 (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) (* (pow x 4) y)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (/ 1 (pow x 2)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* (pow x 3) y))))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))> |
#<alt (* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (/ 1 (pow x 2)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* (pow x 3) y)))) 1)))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) (* x y))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))> |
#<alt x> |
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#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))> |
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))> |
#<alt (* 5641895835477563/10000000000000000 (pow z 2))> |
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))> |
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))> |
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))> |
#<alt (* 5641895835477563/10000000000000000 (pow z 2))> |
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))> |
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))> |
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))> |
#<alt 5641895835477563/10000000000000000> |
#<alt (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))> |
#<alt (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))> |
#<alt (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))> |
#<alt (* 5641895835477563/30000000000000000 z)> |
#<alt (* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))> |
#<alt (* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))> |
#<alt (* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))> |
#<alt (* 5641895835477563/30000000000000000 z)> |
#<alt (* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))> |
#<alt (* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))> |
#<alt (* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))> |
#<alt 5641895835477563/5000000000000000> |
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))> |
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))> |
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))> |
#<alt (* 5641895835477563/10000000000000000 z)> |
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))> |
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))> |
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))> |
#<alt (* 5641895835477563/10000000000000000 z)> |
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))> |
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))> |
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | inf | (+ x (/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) |
| 3.0ms | x | @ | 0 | (* x (neg x)) |
| 2.0ms | x | @ | 0 | (+ x (/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) |
| 1.0ms | z | @ | -inf | (/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (+ (* y (neg x)) 5641895835477563/5000000000000000))) |
| 1.0ms | z | @ | 0 | (+ x (/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) |
| 1× | batch-egg-rewrite |
| 4 812× | /-lowering-/.f32 |
| 4 812× | /-lowering-/.f64 |
| 4 594× | *-lowering-*.f32 |
| 4 594× | *-lowering-*.f64 |
| 3 572× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 177 |
| 1 | 230 | 165 |
| 2 | 2274 | 165 |
| 0 | 8911 | 144 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (+ (* y (neg x)) 5641895835477563/5000000000000000)))) |
(/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (+ (* y (neg x)) 5641895835477563/5000000000000000))) |
(+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (+ (* y (neg x)) 5641895835477563/5000000000000000)) |
(+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) |
(/ x (* x (neg x))) |
(+ x (/ x (* x (neg x)))) |
(* x (neg x)) |
(neg x) |
(+ x (/ y (+ (* y (neg x)) 5641895835477563/5000000000000000))) |
(/ y (+ (* y (neg x)) 5641895835477563/5000000000000000)) |
(+ (* y (neg x)) 5641895835477563/5000000000000000) |
(+ x (/ y (- (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) (* y x)))) |
(/ y (- (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) (* y x))) |
(- (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) (* y x)) |
(+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) |
(+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) |
(+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000) |
| Outputs |
|---|
(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))) |
(+.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))))) (/.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))) (-.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))))) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) x) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))) x) |
(fma.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) y x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 y (fma.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))))) (fma.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) (-.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))) x) |
(fma.f64 (/.f64 y (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) (-.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))) (-.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) x) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))))) (fma.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) (-.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) x) (*.f64 x x))) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))))) (+.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))) (-.f64 (*.f64 x x) (/.f64 (*.f64 x y) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) (-.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))) (-.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))))))) |
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(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))) |
(+.f64 (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)) #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)))) |
(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 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) (*.f64 z (*.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (-.f64 (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64)))) |
(/.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) (*.f64 z (*.f64 z z)) #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 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64))) (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) (*.f64 z (*.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 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)))) |
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(/.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 (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))) |
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(/.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 (-.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 (-.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 (neg.f64 (neg.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) (*.f64 z (*.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 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 (-.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))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 z #s(literal 31830988618379068626528276418969/50000000000000000000000000000000 binary64))) (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) (*.f64 z (*.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 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)) |
(*.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) (*.f64 z (*.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z z) #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)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)))) |
| 1× | egg-herbie |
| 8 820× | accelerator-lowering-fma.f32 |
| 8 820× | accelerator-lowering-fma.f64 |
| 6 074× | *-lowering-*.f32 |
| 6 074× | *-lowering-*.f64 |
| 4 262× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 924 | 7726 |
| 1 | 2974 | 7591 |
| 0 | 8333 | 6801 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(+ (* x (- 1 (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))) |
(+ (* x (- (+ 1 (/ (* x (pow y 3)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))) |
(+ (* x (- (+ 1 (* x (- (/ (* x (pow y 4)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 4)) (* -1 (/ (pow y 3) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3)))))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y)) (pow x 3)))) (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) (* (pow x 4) y)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (/ 1 (pow x 2)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* (pow x 3) y)))))) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (/ 1 (pow x 2)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* (pow x 3) y)))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) (* x y))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
x |
(+ x (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))) |
(+ x (* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) (/ (* x y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) |
(+ x (* y (+ (* y (- (/ (* (pow x 2) y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3)) (* -1 (/ x (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))))) |
(- x (/ 1 x)) |
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2))) y))) (/ 1 x)) |
(- (+ x (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) (* x (pow y 2))))) (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* (pow x 2) y))))) |
(- (+ x (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) (* (pow x 2) (pow y 3))))) (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* (pow x 2) y)) (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) (* x (pow y 2))))))) |
(- x (/ 1 x)) |
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2))) y))) (/ 1 x)) |
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)) (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) (* x y)))) y))) (/ 1 x)) |
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) x)) (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) (* (pow x 2) y)))) y)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) y))) (/ 1 x)) |
(+ x (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) |
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))) |
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))) |
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))) (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))) |
x |
(+ x (* 30000000000000000/5641895835477563 (/ y (pow z 3)))) |
(+ x (+ (* -90000000000000000/5641895835477563 (/ y (pow z 4))) (* 30000000000000000/5641895835477563 (/ y (pow z 3))))) |
(- (+ x (+ (* -1 (/ (+ (* -270000000000000000/5641895835477563 y) (* 180000000000000000/5641895835477563 y)) (pow z 5))) (* 30000000000000000/5641895835477563 (/ y (pow z 3))))) (* 90000000000000000/5641895835477563 (/ y (pow z 4)))) |
x |
(+ x (* 30000000000000000/5641895835477563 (/ y (pow z 3)))) |
(+ x (* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* 90000000000000000/5641895835477563 (/ y z))) (pow z 3)))) |
(+ x (* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* -1 (/ (- (+ (* -180000000000000000/5641895835477563 (/ y z)) (* 270000000000000000/5641895835477563 (/ y z))) (* 90000000000000000/5641895835477563 y)) z))) (pow z 3)))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) (/ (* x y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2)))) |
(* y (+ (* y (- (/ (* (pow x 2) y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3)) (* -1 (/ x (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))))) |
(* y (+ (* y (- (* y (- (/ (* (pow x 3) y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 4)) (* -1 (/ (pow x 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3))))) (* -1 (/ x (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))))) |
(/ -1 x) |
(- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2))) y)) (/ 1 x)) |
(- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) (* x (pow y 2)))) (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* (pow x 2) y))))) |
(- (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) (* (pow x 2) (pow y 3)))) (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* (pow x 2) y)) (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) (* x (pow y 2))))))) |
(/ -1 x) |
(- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* (pow x 2) y))) (/ 1 x)) |
(- (* -1 (/ (- (/ (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2) (* (pow x 3) y)) (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (pow x 2)))) y)) (/ 1 x)) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3) (* (pow x 4) y))) (/ (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2) (pow x 3))) y)) (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (pow x 2)))) y)) (/ 1 x)) |
(/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))) |
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) |
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) |
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))) (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) |
(* 30000000000000000/5641895835477563 (/ y (pow z 3))) |
(/ (+ (* -90000000000000000/5641895835477563 (/ y z)) (* 30000000000000000/5641895835477563 y)) (pow z 3)) |
(/ (- (+ (* -1 (/ (+ (* -270000000000000000/5641895835477563 y) (* 180000000000000000/5641895835477563 y)) (pow z 2))) (* 30000000000000000/5641895835477563 y)) (* 90000000000000000/5641895835477563 (/ y z))) (pow z 3)) |
(/ (- (+ (* -1 (/ (+ (* -540000000000000000/5641895835477563 y) (+ (* -3 (+ (* -270000000000000000/5641895835477563 y) (* 180000000000000000/5641895835477563 y))) (* 900000000000000000000000000000000/31830988618379068626528276418969 (* y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))))) (pow z 3))) (* 30000000000000000/5641895835477563 y)) (+ (* -270000000000000000/5641895835477563 (/ y (pow z 2))) (+ (* 90000000000000000/5641895835477563 (/ y z)) (* 180000000000000000/5641895835477563 (/ y (pow z 2)))))) (pow z 3)) |
(* 30000000000000000/5641895835477563 (/ y (pow z 3))) |
(* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* 90000000000000000/5641895835477563 (/ y z))) (pow z 3))) |
(* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* -1 (/ (- (+ (* -180000000000000000/5641895835477563 (/ y z)) (* 270000000000000000/5641895835477563 (/ y z))) (* 90000000000000000/5641895835477563 y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* -1 (/ (- (* -1 (/ (- (+ (* -540000000000000000/5641895835477563 (/ y z)) (+ (* 3 (/ (+ (* -180000000000000000/5641895835477563 y) (* 270000000000000000/5641895835477563 y)) z)) (* 900000000000000000000000000000000/31830988618379068626528276418969 (/ (* y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))) z)))) (+ (* -180000000000000000/5641895835477563 y) (* 270000000000000000/5641895835477563 y))) z)) (* 90000000000000000/5641895835477563 y)) z))) (pow z 3))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(+ (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) (/ (* x (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))) |
(+ (* x (- (/ (* x (pow y 3)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3)) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))) |
(+ (* x (- (* x (- (/ (* x (pow y 4)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 4)) (* -1 (/ (pow y 3) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3))))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))) |
(/ -1 x) |
(/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y)) x)) 1) x) |
(/ (- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) (* (pow x 2) y))) (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* x y))))) x) |
(/ (- (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) (* (pow x 3) (pow y 2)))) (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* x y)) (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) (* (pow x 2) y)))))) x) |
(/ -1 x) |
(* -1 (/ (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* x y)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) (* x y))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) (* x (pow y 2))) (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) y))) x)) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) x))) x)) |
(+ 5641895835477563/5000000000000000 (* -1 (* x y))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 z))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(* 5641895835477563/30000000000000000 (pow z 3)) |
(* (pow z 3) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* (pow z 3) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(* (pow z 3) (+ 5641895835477563/30000000000000000 (+ (* -1 (/ (* x y) (pow z 3))) (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow z 3))) (/ 5641895835477563/5000000000000000 (pow z 2))))))) |
(* 5641895835477563/30000000000000000 (pow z 3)) |
(* (pow z 3) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* -1 (* (pow z 3) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) z)) 5641895835477563/30000000000000000))) |
(* -1 (* (pow z 3) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* -1 (* x y))) z)) 5641895835477563/5000000000000000) z))) z)) 5641895835477563/30000000000000000))) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y)))) |
(* y (+ (* -1 x) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y)))) |
(* y (+ (* -1 x) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y)))) |
(* -1 (* x y)) |
(* -1 (* y (+ x (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) y))))) |
(* -1 (* y (+ x (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) y))))) |
(* -1 (* y (+ x (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) y))))) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) x)))) |
(* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) x)))) |
(* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) x)))) |
(* -1 (* x y)) |
(* -1 (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) x))))) |
(* -1 (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) x))))) |
(* -1 (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) x))))) |
5641895835477563/5000000000000000 |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 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))))) |
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(* 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) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ (- (pow x 2) 1) x) |
(/ (- (pow x 2) 1) x) |
(/ (- (pow x 2) 1) x) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- 1 (/ 1 (pow x 2)))) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 5000000000000000/5641895835477563 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 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* 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)))) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (+ (/ 1 (pow x 2)) (/ 5641895835477563/5000000000000000 (* (pow x 3) y))) 1))) |
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x |
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5641895835477563/5000000000000000 |
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5641895835477563/5000000000000000 |
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x |
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x |
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x |
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x |
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x |
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(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
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(* y (+ (* y (- (* y (- (/ (* (pow x 3) y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 4)) (* -1 (/ (pow x 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3))))) (* -1 (/ x (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))) |
(/ -1 x) |
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(/ -1 x) |
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(* 10000000000000000/5641895835477563 (/ y (pow z 2))) |
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(/ (- (+ (* -1 (/ (+ (* -40000000000000000/5641895835477563 y) (* 100000000000000000000000000000000/31830988618379068626528276418969 (* y (- 5641895835477563/5000000000000000 (* x y))))) (pow z 2))) (* 10000000000000000/5641895835477563 y)) (* 20000000000000000/5641895835477563 (/ y z))) (pow z 2)) |
(/ (- (+ (* -1 (/ (+ (* -200000000000000000000000000000000/31830988618379068626528276418969 (* y (- 5641895835477563/5000000000000000 (* x y)))) (* -2 (+ (* -40000000000000000/5641895835477563 y) (* 100000000000000000000000000000000/31830988618379068626528276418969 (* y (- 5641895835477563/5000000000000000 (* x y))))))) (pow z 3))) (* 10000000000000000/5641895835477563 y)) (+ (* -40000000000000000/5641895835477563 (/ y (pow z 2))) (+ (* 100000000000000000000000000000000/31830988618379068626528276418969 (/ (* y (- 5641895835477563/5000000000000000 (* x y))) (pow z 2))) (* 20000000000000000/5641895835477563 (/ y z))))) (pow z 2)) |
(* 10000000000000000/5641895835477563 (/ y (pow z 2))) |
(/ (+ (* -20000000000000000/5641895835477563 (/ y z)) (* 10000000000000000/5641895835477563 y)) (pow z 2)) |
(/ (+ (* -1 (/ (- (+ (* -40000000000000000/5641895835477563 (/ y z)) (* 100000000000000000000000000000000/31830988618379068626528276418969 (/ (* y (- 5641895835477563/5000000000000000 (* x y))) z))) (* -20000000000000000/5641895835477563 y)) z)) (* 10000000000000000/5641895835477563 y)) (pow z 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -40000000000000000/5641895835477563 y) (* 100000000000000000000000000000000/31830988618379068626528276418969 (* y (- 5641895835477563/5000000000000000 (* x y))))) z)) (* 200000000000000000000000000000000/31830988618379068626528276418969 (/ (* y (- 5641895835477563/5000000000000000 (* x y))) z))) (+ (* -40000000000000000/5641895835477563 y) (* 100000000000000000000000000000000/31830988618379068626528276418969 (* y (- 5641895835477563/5000000000000000 (* x y)))))) z)) (* -20000000000000000/5641895835477563 y)) z)) (* 10000000000000000/5641895835477563 y)) (pow z 2)) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(+ (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (/ (* x (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))) |
(+ (* x (- (/ (* x (pow y 3)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3)) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))) |
(+ (* x (- (* x (- (/ (* x (pow y 4)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 4)) (* -1 (/ (pow y 3) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3))))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))) |
(/ -1 x) |
(/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y)) x)) 1) x) |
(/ (- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* (pow x 2) y))) (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* x y))))) x) |
(/ (- (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* (pow x 3) (pow y 2)))) (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* x y)) (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* (pow x 2) y)))))) x) |
(/ -1 x) |
(* -1 (/ (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* x y)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* x y))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* x (pow y 2))) (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) y))) x)) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) x))) x)) |
(- 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 (* 5641895835477563/10000000000000000 z)))) (* x y)) |
(* 5641895835477563/10000000000000000 (pow z 2)) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* (pow z 2) (- (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))) (/ (* x y) (pow z 2)))) |
(* (pow z 2) (- (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))) (/ (* x y) (pow z 2)))) |
(* 5641895835477563/10000000000000000 (pow z 2)) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* -1 (/ (- (* -1 (/ (- 5641895835477563/5000000000000000 (* x y)) z)) 5641895835477563/5000000000000000) z)))) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* -1 (/ (- (* -1 (/ (- 5641895835477563/5000000000000000 (* x y)) z)) 5641895835477563/5000000000000000) z)))) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(* -1 (* x y)) |
(* y (- (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y)) x)) |
(* y (- (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y)) x)) |
(* y (- (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y)) x)) |
(* -1 (* x y)) |
(* -1 (* y (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) y)) (* -1 x)))) |
(* -1 (* y (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) y)) (* -1 x)))) |
(* -1 (* y (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) y)) (* -1 x)))) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(* -1 (* x y)) |
(* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) y)) |
(* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) y)) |
(* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)) y)) |
(* -1 (* x y)) |
(* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)) (* -1 y)))) |
(* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)) (* -1 y)))) |
(* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)) (* -1 y)))) |
5641895835477563/5000000000000000 |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) |
(* 5641895835477563/10000000000000000 (pow z 2)) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(* 5641895835477563/10000000000000000 (pow z 2)) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
5641895835477563/10000000000000000 |
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)) |
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)) |
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)) |
(* 5641895835477563/30000000000000000 z) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* 5641895835477563/30000000000000000 z) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
5641895835477563/5000000000000000 |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)) |
(* 5641895835477563/10000000000000000 z) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* 5641895835477563/10000000000000000 z) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
| Outputs |
|---|
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(+ (* x (- 1 (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))) |
(fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(+ (* x (- (+ 1 (/ (* x (pow y 3)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))) |
(fma.f64 x (+.f64 (fma.f64 x (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 1 binary64)) (/.f64 (*.f64 y y) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(+ (* x (- (+ 1 (* x (- (/ (* x (pow y 4)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 4)) (* -1 (/ (pow y 3) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3)))))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))) |
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 4 binary64))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))) (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(+.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y)) (pow x 3)))) (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) y) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(* x (- (+ 1 (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) (* (pow x 4) y)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (/ 1 (pow x 2)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* (pow x 3) y)))))) |
(*.f64 x (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) y) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))) (*.f64 y (pow.f64 x #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) (fma.f64 z (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
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(*.f64 x (-.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)) |
(* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)) (* -1 y)))) |
(*.f64 x (-.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)) |
(* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x)) (* -1 y)))) |
(*.f64 x (-.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)) |
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 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) |
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/10000000000000000 (pow z 2)) |
(*.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z z)) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(*.f64 z (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(*.f64 (*.f64 z z) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(*.f64 (*.f64 z z) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))) |
(* 5641895835477563/10000000000000000 (pow z 2)) |
(*.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z z)) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(*.f64 z (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(*.f64 (*.f64 z z) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(*.f64 (*.f64 z z) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))) |
5641895835477563/10000000000000000 |
#s(literal 5641895835477563/10000000000000000 binary64) |
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)) |
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) |
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)) |
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) |
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)) |
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) |
(* 5641895835477563/30000000000000000 z) |
(*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(*.f64 z (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(*.f64 z (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(*.f64 z (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))) |
(* 5641895835477563/30000000000000000 z) |
(*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(*.f64 z (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(*.f64 z (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(*.f64 z (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))) |
5641895835477563/5000000000000000 |
#s(literal 5641895835477563/5000000000000000 binary64) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)) |
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)) |
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)) |
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/10000000000000000 z) |
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) |
(* 5641895835477563/10000000000000000 z) |
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) |
Compiled 47 621 to 4 067 computations (91.5% saved)
15 alts after pruning (13 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 185 | 11 | 1 196 |
| Fresh | 5 | 2 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 193 | 15 | 1 208 |
| Status | Accuracy | Program |
|---|---|---|
| 49.6% | (fma.f64 y (fma.f64 (*.f64 y x) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x) | |
| 63.2% | (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) | |
| 71.0% | (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (*.f64 y z) (*.f64 (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64)))) (+.f64 x (/.f64 y (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64))))) | |
| 15.9% | (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) | |
| ▶ | 15.9% | (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
| 16.8% | (/.f64 #s(literal -1 binary64) x) | |
| 66.9% | (+.f64 (/.f64 #s(literal -1 binary64) x) x) | |
| ▶ | 68.4% | (+.f64 x (/.f64 y (fma.f64 (fma.f64 x (*.f64 y (*.f64 x y)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
| ▶ | 72.6% | (+.f64 x (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
| ✓ | 81.6% | (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) |
| 67.2% | (+.f64 x (/.f64 y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) | |
| ▶ | 63.3% | (+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))) |
| 16.3% | (*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) | |
| ▶ | 15.6% | (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
| ✓ | 70.2% | x |
Compiled 356 to 235 computations (34% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 y (fma.f64 (fma.f64 x (*.f64 y (*.f64 x y)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) |
| ✓ | cost-diff | 128 | (+.f64 x (/.f64 y (fma.f64 (fma.f64 x (*.f64 y (*.f64 x y)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
| ✓ | cost-diff | 192 | (fma.f64 (fma.f64 x (*.f64 y (*.f64 x y)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
| ✓ | cost-diff | 128 | (+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))) |
| ✓ | cost-diff | 384 | (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 x (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
| 10 040× | accelerator-lowering-fma.f32 |
| 10 040× | accelerator-lowering-fma.f64 |
| 2 112× | *-lowering-*.f32 |
| 2 112× | *-lowering-*.f64 |
| 1 654× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 251 |
| 1 | 83 | 240 |
| 2 | 168 | 240 |
| 3 | 320 | 240 |
| 4 | 537 | 240 |
| 5 | 779 | 240 |
| 6 | 1186 | 240 |
| 7 | 3176 | 240 |
| 8 | 4585 | 240 |
| 9 | 5396 | 240 |
| 10 | 5998 | 240 |
| 11 | 6445 | 240 |
| 12 | 6577 | 240 |
| 13 | 6787 | 240 |
| 14 | 6792 | 240 |
| 15 | 6796 | 240 |
| 16 | 6802 | 240 |
| 17 | 6802 | 240 |
| 18 | 7083 | 240 |
| 19 | 7521 | 240 |
| 20 | 7709 | 240 |
| 21 | 7709 | 240 |
| 22 | 7709 | 240 |
| 23 | 7723 | 240 |
| 0 | 7723 | 207 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ x (/ y (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))) |
x |
(/ y (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)) |
y |
(+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) |
z |
(+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000) |
5641895835477563/10000000000000000 |
5641895835477563/5000000000000000 |
(* y 5000000000000000/5641895835477563) |
y |
5000000000000000/5641895835477563 |
(+ x (/ y 5641895835477563/5000000000000000)) |
x |
(/ y 5641895835477563/5000000000000000) |
y |
5641895835477563/5000000000000000 |
(/ y (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)) |
y |
(+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) |
z |
(+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000) |
5641895835477563/10000000000000000 |
5641895835477563/5000000000000000 |
(+ x (/ y (+ (* (+ (* x (* y (* x y))) -31830988618379068626528276418969/25000000000000000000000000000000) (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))) (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))))) |
x |
(/ y (+ (* (+ (* x (* y (* x y))) -31830988618379068626528276418969/25000000000000000000000000000000) (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))) (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)))) |
y |
(+ (* (+ (* x (* y (* x y))) -31830988618379068626528276418969/25000000000000000000000000000000) (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))) (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))) |
(+ (* x (* y (* x y))) -31830988618379068626528276418969/25000000000000000000000000000000) |
(* y (* x y)) |
(* x y) |
-31830988618379068626528276418969/25000000000000000000000000000000 |
(/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000)) |
1 |
(+ (* y (neg x)) -5641895835477563/5000000000000000) |
(neg x) |
-5641895835477563/5000000000000000 |
(* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) |
z |
(+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) |
(+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) |
5641895835477563/30000000000000000 |
5641895835477563/10000000000000000 |
5641895835477563/5000000000000000 |
| Outputs |
|---|
(+ x (/ y (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))) |
(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
x |
(/ y (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
y |
(+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) |
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
z |
(+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000) |
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
5641895835477563/10000000000000000 |
#s(literal 5641895835477563/10000000000000000 binary64) |
5641895835477563/5000000000000000 |
#s(literal 5641895835477563/5000000000000000 binary64) |
(* y 5000000000000000/5641895835477563) |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
y |
5000000000000000/5641895835477563 |
#s(literal 5000000000000000/5641895835477563 binary64) |
(+ x (/ y 5641895835477563/5000000000000000)) |
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
x |
(/ y 5641895835477563/5000000000000000) |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
y |
5641895835477563/5000000000000000 |
#s(literal 5641895835477563/5000000000000000 binary64) |
(/ y (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
y |
(+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) |
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
z |
(+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000) |
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
5641895835477563/10000000000000000 |
#s(literal 5641895835477563/10000000000000000 binary64) |
5641895835477563/5000000000000000 |
#s(literal 5641895835477563/5000000000000000 binary64) |
(+ x (/ y (+ (* (+ (* x (* y (* x y))) -31830988618379068626528276418969/25000000000000000000000000000000) (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))) (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))))) |
(-.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -5641895835477563/30000000000000000 binary64) #s(literal -5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (fma.f64 x y #s(literal 5641895835477563/5000000000000000 binary64)))))) |
x |
(/ y (+ (* (+ (* x (* y (* x y))) -31830988618379068626528276418969/25000000000000000000000000000000) (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))) (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)))) |
(/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))) |
y |
(+ (* (+ (* x (* y (* x y))) -31830988618379068626528276418969/25000000000000000000000000000000) (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))) (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))) |
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))) |
(+ (* x (* y (* x y))) -31830988618379068626528276418969/25000000000000000000000000000000) |
(fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) |
(* y (* x y)) |
(*.f64 y (*.f64 x y)) |
(* x y) |
(*.f64 x y) |
-31830988618379068626528276418969/25000000000000000000000000000000 |
#s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) |
(/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 5641895835477563/5000000000000000 binary64))) |
1 |
#s(literal 1 binary64) |
(+ (* y (neg x)) -5641895835477563/5000000000000000) |
(-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)) |
(neg x) |
(neg.f64 x) |
-5641895835477563/5000000000000000 |
#s(literal -5641895835477563/5000000000000000 binary64) |
(* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) |
(*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
z |
(+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) |
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) |
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) |
5641895835477563/30000000000000000 |
#s(literal 5641895835477563/30000000000000000 binary64) |
5641895835477563/10000000000000000 |
#s(literal 5641895835477563/10000000000000000 binary64) |
5641895835477563/5000000000000000 |
#s(literal 5641895835477563/5000000000000000 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.7% | (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) |
| ✓ | accuracy | 97.7% | (fma.f64 x (*.f64 y (*.f64 x y)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) |
| ✓ | accuracy | 86.8% | (/.f64 y (fma.f64 (fma.f64 x (*.f64 y (*.f64 x y)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))) |
| ✓ | accuracy | 77.7% | (fma.f64 (fma.f64 x (*.f64 y (*.f64 x y)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
| ✓ | accuracy | 99.9% | (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | accuracy | 95.2% | (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))) |
| ✓ | accuracy | 99.7% | (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | accuracy | 99.3% | (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
| ✓ | accuracy | 99.9% | (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | accuracy | 95.2% | (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
| 114.0ms | 256× | 0 | valid |
Compiled 218 to 38 computations (82.6% saved)
const: 31.0ms (41% of total)ival-mult: 26.0ms (34.4% of total)ival-add: 11.0ms (14.5% of total)ival-div: 7.0ms (9.3% of total)ival-neg: 1.0ms (1.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ x (/ y (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)))> |
#<alt (/ y (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))> |
#<alt (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)> |
#<alt (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)> |
#<alt (* y 5000000000000000/5641895835477563)> |
#<alt (/ y 5641895835477563/5000000000000000)> |
#<alt (+ x (/ y 5641895835477563/5000000000000000))> |
#<alt (+ (* (+ (* x (* y (* x y))) -31830988618379068626528276418969/25000000000000000000000000000000) (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))) (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)))> |
#<alt (+ x (/ y (+ (* (+ (* x (* y (* x y))) -31830988618379068626528276418969/25000000000000000000000000000000) (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))) (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)))))> |
#<alt (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))> |
#<alt (/ y (+ (* (+ (* x (* y (* x y))) -31830988618379068626528276418969/25000000000000000000000000000000) (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))) (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))))> |
#<alt (+ (* x (* y (* x y))) -31830988618379068626528276418969/25000000000000000000000000000000)> |
| Outputs |
|---|
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))> |
#<alt (+ x (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))> |
#<alt (+ x (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))> |
#<alt (+ x (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))> |
#<alt x> |
#<alt (* x (+ 1 (/ y (* x (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))))> |
#<alt (* x (+ 1 (/ y (* x (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))))> |
#<alt (* x (+ 1 (/ y (* x (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))) 1)))> |
#<alt x> |
#<alt (+ x (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))> |
#<alt (+ x (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))> |
#<alt (+ x (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))> |
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))> |
#<alt (* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (/ x y)))> |
#<alt (* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (/ x y)))> |
#<alt (* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (/ x y)))> |
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))))> |
#<alt (+ x (* 5000000000000000/5641895835477563 y))> |
#<alt (+ x (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y)))> |
#<alt (+ x (+ (* 5000000000000000/5641895835477563 y) (* z (- (* -1 (* z (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y)))) (* 5000000000000000/5641895835477563 y)))))> |
#<alt (+ x (+ (* 5000000000000000/5641895835477563 y) (* z (- (* z (- (* -1 (* z (+ (* -1 (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y))) (* -2500000000000000/5641895835477563 y)))) (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y)))) (* 5000000000000000/5641895835477563 y)))))> |
#<alt x> |
#<alt (+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2))))> |
#<alt (+ x (+ (* -20000000000000000/5641895835477563 (/ y (pow z 3))) (* 10000000000000000/5641895835477563 (/ y (pow z 2)))))> |
#<alt (- (+ x (+ (* -1 (/ (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y)) (pow z 4))) (* 10000000000000000/5641895835477563 (/ y (pow z 2))))) (* 20000000000000000/5641895835477563 (/ y (pow z 3))))> |
#<alt x> |
#<alt (+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2))))> |
#<alt (+ x (+ (* -20000000000000000/5641895835477563 (/ y (pow z 3))) (* 10000000000000000/5641895835477563 (/ y (pow z 2)))))> |
#<alt (+ x (+ (* -1 (/ (- (+ (* -40000000000000000/5641895835477563 (/ y z)) (* 20000000000000000/5641895835477563 (/ y z))) (* -20000000000000000/5641895835477563 y)) (pow z 3))) (* 10000000000000000/5641895835477563 (/ y (pow z 2)))))> |
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))> |
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))> |
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))> |
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))> |
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))> |
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))> |
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))> |
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))> |
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))> |
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))> |
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))> |
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))> |
#<alt (+ (* 5000000000000000/5641895835477563 y) (* z (- (* -1 (* z (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y)))) (* 5000000000000000/5641895835477563 y))))> |
#<alt (+ (* 5000000000000000/5641895835477563 y) (* z (- (* z (- (* -1 (* z (+ (* -1 (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y))) (* -2500000000000000/5641895835477563 y)))) (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y)))) (* 5000000000000000/5641895835477563 y))))> |
#<alt (* 10000000000000000/5641895835477563 (/ y (pow z 2)))> |
#<alt (/ (+ (* -20000000000000000/5641895835477563 (/ y z)) (* 10000000000000000/5641895835477563 y)) (pow z 2))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y)) (pow z 2))) (* 10000000000000000/5641895835477563 y)) (* 20000000000000000/5641895835477563 (/ y z))) (pow z 2))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -40000000000000000/5641895835477563 y) (* -2 (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y)))) (pow z 3))) (* 10000000000000000/5641895835477563 y)) (+ (* -40000000000000000/5641895835477563 (/ y (pow z 2))) (+ (* 20000000000000000/5641895835477563 (/ y z)) (* 20000000000000000/5641895835477563 (/ y (pow z 2)))))) (pow z 2))> |
#<alt (* 10000000000000000/5641895835477563 (/ y (pow z 2)))> |
#<alt (/ (+ (* -20000000000000000/5641895835477563 (/ y z)) (* 10000000000000000/5641895835477563 y)) (pow z 2))> |
#<alt (/ (+ (* -1 (/ (- (+ (* -40000000000000000/5641895835477563 (/ y z)) (* 20000000000000000/5641895835477563 (/ y z))) (* -20000000000000000/5641895835477563 y)) z)) (* 10000000000000000/5641895835477563 y)) (pow z 2))> |
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y)) z)) (* 40000000000000000/5641895835477563 (/ y z))) (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y))) z)) (* -20000000000000000/5641895835477563 y)) z)) (* 10000000000000000/5641895835477563 y)) (pow z 2))> |
#<alt 5641895835477563/5000000000000000> |
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))> |
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))> |
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))> |
#<alt (* 5641895835477563/10000000000000000 (pow z 2))> |
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))> |
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))> |
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))> |
#<alt (* 5641895835477563/10000000000000000 (pow z 2))> |
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))> |
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))> |
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))> |
#<alt 5641895835477563/5000000000000000> |
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))> |
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))> |
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))> |
#<alt (* 5641895835477563/10000000000000000 z)> |
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))> |
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))> |
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))> |
#<alt (* 5641895835477563/10000000000000000 z)> |
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))> |
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))> |
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
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#<alt (- x (/ 1 x))> |
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#<alt (* 30000000000000000/5641895835477563 (/ y (pow z 3)))> |
#<alt (/ (+ (* -90000000000000000/5641895835477563 (/ y z)) (* 30000000000000000/5641895835477563 y)) (pow z 3))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -270000000000000000/5641895835477563 y) (* 180000000000000000/5641895835477563 y)) (pow z 2))) (* 30000000000000000/5641895835477563 y)) (* 90000000000000000/5641895835477563 (/ y z))) (pow z 3))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -540000000000000000/5641895835477563 y) (+ (* -3 (+ (* -270000000000000000/5641895835477563 y) (* 180000000000000000/5641895835477563 y))) (* 900000000000000000000000000000000/31830988618379068626528276418969 (* y (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))))))) (pow z 3))) (* 30000000000000000/5641895835477563 y)) (+ (* -270000000000000000/5641895835477563 (/ y (pow z 2))) (+ (* 90000000000000000/5641895835477563 (/ y z)) (* 180000000000000000/5641895835477563 (/ y (pow z 2)))))) (pow z 3))> |
#<alt (* 30000000000000000/5641895835477563 (/ y (pow z 3)))> |
#<alt (* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* 90000000000000000/5641895835477563 (/ y z))) (pow z 3)))> |
#<alt (* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* -1 (/ (- (+ (* -180000000000000000/5641895835477563 (/ y z)) (* 270000000000000000/5641895835477563 (/ y z))) (* 90000000000000000/5641895835477563 y)) z))) (pow z 3)))> |
#<alt (* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* -1 (/ (- (* -1 (/ (- (+ (* -540000000000000000/5641895835477563 (/ y z)) (+ (* 3 (/ (+ (* -180000000000000000/5641895835477563 y) (* 270000000000000000/5641895835477563 y)) z)) (* 900000000000000000000000000000000/31830988618379068626528276418969 (/ (* y (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000))))) z)))) (+ (* -180000000000000000/5641895835477563 y) (* 270000000000000000/5641895835477563 y))) z)) (* 90000000000000000/5641895835477563 y)) z))) (pow z 3)))> |
#<alt -31830988618379068626528276418969/25000000000000000000000000000000> |
#<alt (- (* (pow x 2) (pow y 2)) 31830988618379068626528276418969/25000000000000000000000000000000)> |
#<alt (- (* (pow x 2) (pow y 2)) 31830988618379068626528276418969/25000000000000000000000000000000)> |
#<alt (- (* (pow x 2) (pow y 2)) 31830988618379068626528276418969/25000000000000000000000000000000)> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (- (pow y 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- (pow y 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- (pow y 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (- (pow y 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- (pow y 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- (pow y 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2)))))> |
#<alt -31830988618379068626528276418969/25000000000000000000000000000000> |
#<alt (- (* (pow x 2) (pow y 2)) 31830988618379068626528276418969/25000000000000000000000000000000)> |
#<alt (- (* (pow x 2) (pow y 2)) 31830988618379068626528276418969/25000000000000000000000000000000)> |
#<alt (- (* (pow x 2) (pow y 2)) 31830988618379068626528276418969/25000000000000000000000000000000)> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow y 2) (- (pow x 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- (pow x 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- (pow x 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2)))))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow y 2) (- (pow x 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- (pow x 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- (pow x 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2)))))> |
72 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | x | @ | inf | (+ (* (+ (* x (* y (* x y))) -31830988618379068626528276418969/25000000000000000000000000000000) (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))) (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))) |
| 17.0ms | y | @ | inf | (/ y (+ (* (+ (* x (* y (* x y))) -31830988618379068626528276418969/25000000000000000000000000000000) (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))) (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)))) |
| 7.0ms | x | @ | -inf | (+ (* (+ (* x (* y (* x y))) -31830988618379068626528276418969/25000000000000000000000000000000) (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))) (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))) |
| 3.0ms | y | @ | inf | (+ (* (+ (* x (* y (* x y))) -31830988618379068626528276418969/25000000000000000000000000000000) (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))) (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))) |
| 2.0ms | z | @ | inf | (/ y (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)) |
| 1× | batch-egg-rewrite |
| 4 942× | /-lowering-/.f32 |
| 4 942× | /-lowering-/.f64 |
| 4 366× | *-lowering-*.f32 |
| 4 366× | *-lowering-*.f64 |
| 3 420× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 156 |
| 1 | 229 | 123 |
| 2 | 2021 | 123 |
| 0 | 8446 | 103 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (/ y (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))) |
(/ y (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)) |
(+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) |
(+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000) |
(* y 5000000000000000/5641895835477563) |
(/ y 5641895835477563/5000000000000000) |
(+ x (/ y 5641895835477563/5000000000000000)) |
(+ (* (+ (* x (* y (* x y))) -31830988618379068626528276418969/25000000000000000000000000000000) (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))) (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))) |
(+ x (/ y (+ (* (+ (* x (* y (* x y))) -31830988618379068626528276418969/25000000000000000000000000000000) (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))) (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))))) |
(/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000)) |
(/ y (+ (* (+ (* x (* y (* x y))) -31830988618379068626528276418969/25000000000000000000000000000000) (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))) (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)))) |
(+ (* x (* y (* x y))) -31830988618379068626528276418969/25000000000000000000000000000000) |
| Outputs |
|---|
(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(+.f64 (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 x (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) x))) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) x) |
(fma.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) x) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) y x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 y (fma.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 z (*.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (-.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 z (*.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) x) |
(fma.f64 (/.f64 y (fma.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 z (*.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 z (*.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))) x) |
(fma.f64 (/.f64 y (fma.f64 z (*.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) x) |
(fma.f64 (/.f64 y (fma.f64 z (*.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (-.f64 (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (-.f64 (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))))) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))) (fma.f64 (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (-.f64 (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) x) (*.f64 x x))) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 y (*.f64 y y))) #s(literal -32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64))) (neg.f64 (+.f64 #s(literal 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 binary64) (-.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y))))) (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 y y)))) #s(literal -1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y))))) #s(literal 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 y y)))) (+.f64 #s(literal 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))))) |
(/.f64 (-.f64 #s(literal 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) (-.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x (*.f64 x (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y))))) (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (*.f64 (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) #s(literal 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 binary64))) (*.f64 (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 y (*.f64 y y))) #s(literal -32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))) #s(literal 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 y y)))) #s(literal -1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 y (*.f64 y y))) #s(literal -32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))) #s(literal 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 y y)))) #s(literal -1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y))))) #s(literal 32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 y y)))) (+.f64 #s(literal 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y))))))) (neg.f64 (-.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x (*.f64 x (*.f64 y y)))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))) #s(literal 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 y (*.f64 y y))) #s(literal -32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 y y)))) #s(literal -1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 y (*.f64 y y))) #s(literal -32251534433199493661049880593938777829847262829918009516762758739122115348467797302968742947209/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))) #s(literal 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)))))) |
(*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 y y)))) #s(literal -1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) |
| 1× | egg-herbie |
| 8 412× | accelerator-lowering-fma.f32 |
| 8 412× | accelerator-lowering-fma.f64 |
| 5 496× | *-lowering-*.f32 |
| 5 496× | *-lowering-*.f64 |
| 3 512× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 748 | 6097 |
| 1 | 2396 | 5947 |
| 0 | 8052 | 5234 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(+ x (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))) |
(+ x (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))) |
(+ x (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))) |
x |
(* x (+ 1 (/ y (* x (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))))) |
(* x (+ 1 (/ y (* x (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))))) |
(* x (+ 1 (/ y (* x (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))))) |
x |
(* -1 (* x (- (* -1 (/ y (* x (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))) 1))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))) 1))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))) 1))) |
x |
(+ x (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))) |
(+ x (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))) |
(+ x (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (/ x y))) |
(* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (/ x y))) |
(* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (/ x y))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(* -1 (* y (- (* -1 (/ x y)) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))))) |
(* -1 (* y (- (* -1 (/ x y)) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))))) |
(* -1 (* y (- (* -1 (/ x y)) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))))) |
(+ x (* 5000000000000000/5641895835477563 y)) |
(+ x (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))) |
(+ x (+ (* 5000000000000000/5641895835477563 y) (* z (- (* -1 (* z (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y)))) (* 5000000000000000/5641895835477563 y))))) |
(+ x (+ (* 5000000000000000/5641895835477563 y) (* z (- (* z (- (* -1 (* z (+ (* -1 (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y))) (* -2500000000000000/5641895835477563 y)))) (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y)))) (* 5000000000000000/5641895835477563 y))))) |
x |
(+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2)))) |
(+ x (+ (* -20000000000000000/5641895835477563 (/ y (pow z 3))) (* 10000000000000000/5641895835477563 (/ y (pow z 2))))) |
(- (+ x (+ (* -1 (/ (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y)) (pow z 4))) (* 10000000000000000/5641895835477563 (/ y (pow z 2))))) (* 20000000000000000/5641895835477563 (/ y (pow z 3)))) |
x |
(+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2)))) |
(+ x (+ (* -20000000000000000/5641895835477563 (/ y (pow z 3))) (* 10000000000000000/5641895835477563 (/ y (pow z 2))))) |
(+ x (+ (* -1 (/ (- (+ (* -40000000000000000/5641895835477563 (/ y z)) (* 20000000000000000/5641895835477563 (/ y z))) (* -20000000000000000/5641895835477563 y)) (pow z 3))) (* 10000000000000000/5641895835477563 (/ y (pow z 2))))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(* 5000000000000000/5641895835477563 y) |
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y)) |
(+ (* 5000000000000000/5641895835477563 y) (* z (- (* -1 (* z (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y)))) (* 5000000000000000/5641895835477563 y)))) |
(+ (* 5000000000000000/5641895835477563 y) (* z (- (* z (- (* -1 (* z (+ (* -1 (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y))) (* -2500000000000000/5641895835477563 y)))) (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y)))) (* 5000000000000000/5641895835477563 y)))) |
(* 10000000000000000/5641895835477563 (/ y (pow z 2))) |
(/ (+ (* -20000000000000000/5641895835477563 (/ y z)) (* 10000000000000000/5641895835477563 y)) (pow z 2)) |
(/ (- (+ (* -1 (/ (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y)) (pow z 2))) (* 10000000000000000/5641895835477563 y)) (* 20000000000000000/5641895835477563 (/ y z))) (pow z 2)) |
(/ (- (+ (* -1 (/ (+ (* -40000000000000000/5641895835477563 y) (* -2 (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y)))) (pow z 3))) (* 10000000000000000/5641895835477563 y)) (+ (* -40000000000000000/5641895835477563 (/ y (pow z 2))) (+ (* 20000000000000000/5641895835477563 (/ y z)) (* 20000000000000000/5641895835477563 (/ y (pow z 2)))))) (pow z 2)) |
(* 10000000000000000/5641895835477563 (/ y (pow z 2))) |
(/ (+ (* -20000000000000000/5641895835477563 (/ y z)) (* 10000000000000000/5641895835477563 y)) (pow z 2)) |
(/ (+ (* -1 (/ (- (+ (* -40000000000000000/5641895835477563 (/ y z)) (* 20000000000000000/5641895835477563 (/ y z))) (* -20000000000000000/5641895835477563 y)) z)) (* 10000000000000000/5641895835477563 y)) (pow z 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y)) z)) (* 40000000000000000/5641895835477563 (/ y z))) (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y))) z)) (* -20000000000000000/5641895835477563 y)) z)) (* 10000000000000000/5641895835477563 y)) (pow z 2)) |
5641895835477563/5000000000000000 |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) |
(* 5641895835477563/10000000000000000 (pow z 2)) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(* 5641895835477563/10000000000000000 (pow z 2)) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
5641895835477563/5000000000000000 |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)) |
(* 5641895835477563/10000000000000000 z) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* 5641895835477563/10000000000000000 z) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(+ x (* 5000000000000000/5641895835477563 y)) |
(+ x (* 5000000000000000/5641895835477563 y)) |
(+ x (* 5000000000000000/5641895835477563 y)) |
x |
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x)))) |
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x)))) |
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x)))) |
x |
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1))) |
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1))) |
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1))) |
x |
(+ x (* 5000000000000000/5641895835477563 y)) |
(+ x (* 5000000000000000/5641895835477563 y)) |
(+ x (* 5000000000000000/5641895835477563 y)) |
(* 5000000000000000/5641895835477563 y) |
(* y (+ 5000000000000000/5641895835477563 (/ x y))) |
(* y (+ 5000000000000000/5641895835477563 (/ x y))) |
(* y (+ 5000000000000000/5641895835477563 (/ x y))) |
(* 5000000000000000/5641895835477563 y) |
(* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563))) |
(* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563))) |
(* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563))) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(+ 5641895835477563/5000000000000000 (+ (* x (- (* -1 (* (pow x 2) (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 3)) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 3))))) y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(+ 5641895835477563/5000000000000000 (+ (* x (- (* (pow x 2) (- (* -1 (* x (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 4)) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 4))))) (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 3)) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 3))))) y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) x)))) |
(* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) x)))) |
(* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) x)))) |
(* -1 (* x y)) |
(* -1 (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) x))))) |
(* -1 (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) x))))) |
(* -1 (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) x))))) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(+ 5641895835477563/5000000000000000 (+ (* y (- (* -1 (* (pow y 2) (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow x 3)) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow x 3))))) x)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(+ 5641895835477563/5000000000000000 (+ (* y (- (* (pow y 2) (- (* -1 (* y (+ (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow x 4)) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow x 4))))) (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow x 3)) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow x 3))))) x)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y)))) |
(* y (+ (* -1 x) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y)))) |
(* y (+ (* -1 x) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y)))) |
(* -1 (* x y)) |
(* -1 (* y (+ x (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) y))))) |
(* -1 (* y (+ x (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) y))))) |
(* -1 (* y (+ x (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) y))))) |
(- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) |
(- (+ (* 5641895835477563/5000000000000000 z) (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) |
(- (+ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) |
(- (+ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) |
(* 5641895835477563/30000000000000000 (pow z 3)) |
(* (pow z 3) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* (pow z 3) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(* (pow z 3) (- (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (+ (/ 5641895835477563/5000000000000000 (pow z 2)) (/ (* (pow x 2) (pow y 2)) (* (pow z 3) (- (* -1 (* x y)) 5641895835477563/5000000000000000)))))) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow z 3) (- (* -1 (* x y)) 5641895835477563/5000000000000000))))) |
(* 5641895835477563/30000000000000000 (pow z 3)) |
(* (pow z 3) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* -1 (* (pow z 3) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) z)) 5641895835477563/30000000000000000))) |
(* -1 (* (pow z 3) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) z)) 5641895835477563/5000000000000000) z))) z)) 5641895835477563/30000000000000000))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(+ (* x (- 1 (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))) |
(+ (* x (- (+ 1 (/ (* x (pow y 3)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))) |
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ (* -1 (/ (* y (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 3)) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 3)))) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))) (* -1 (/ (pow y 4) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 4)))))) (* -1 (/ (pow y 3) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3)))))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y)) (pow x 3)))) (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) (* (pow x 4) y)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (/ 1 (pow x 2)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* (pow x 3) y)))))) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (/ 1 (pow x 2)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* (pow x 3) y)))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) (* x y))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
x |
(+ x (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))) |
(+ x (* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) (/ (* x y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) |
(+ x (* y (+ (* y (- (/ (* (pow x 2) y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3)) (* -1 (/ x (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))))) |
(- x (/ 1 x)) |
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2))) y))) (/ 1 x)) |
(- (+ x (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) (* x (pow y 2))))) (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* (pow x 2) y))))) |
(- (+ x (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) (* (pow x 2) (pow y 3))))) (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* (pow x 2) y)) (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) (* x (pow y 2))))))) |
(- x (/ 1 x)) |
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2))) y))) (/ 1 x)) |
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)) (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) (* x y)))) y))) (/ 1 x)) |
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) x)) (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) (* (pow x 2) y)))) y)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) y))) (/ 1 x)) |
(+ x (/ y (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))))) |
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) 2))) (/ y (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000))))))) |
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) 2))))) (/ y (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000))))))) |
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) 2)))) (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) 2))))) (/ y (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000))))))) |
x |
(+ x (* 30000000000000000/5641895835477563 (/ y (pow z 3)))) |
(+ x (+ (* -90000000000000000/5641895835477563 (/ y (pow z 4))) (* 30000000000000000/5641895835477563 (/ y (pow z 3))))) |
(- (+ x (+ (* -1 (/ (+ (* -270000000000000000/5641895835477563 y) (* 180000000000000000/5641895835477563 y)) (pow z 5))) (* 30000000000000000/5641895835477563 (/ y (pow z 3))))) (* 90000000000000000/5641895835477563 (/ y (pow z 4)))) |
x |
(+ x (* 30000000000000000/5641895835477563 (/ y (pow z 3)))) |
(+ x (* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* 90000000000000000/5641895835477563 (/ y z))) (pow z 3)))) |
(+ x (* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* -1 (/ (- (+ (* -180000000000000000/5641895835477563 (/ y z)) (* 270000000000000000/5641895835477563 (/ y z))) (* 90000000000000000/5641895835477563 y)) z))) (pow z 3)))) |
-5000000000000000/5641895835477563 |
(- (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563) |
(- (* y (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* -25000000000000000000000000000000/31830988618379068626528276418969 x))) 5000000000000000/5641895835477563) |
(- (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 3) y)) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow x 2)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 x))) 5000000000000000/5641895835477563) |
(/ -1 (* x y)) |
(/ (- (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y))) (/ 1 x)) y) |
(/ (- (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (+ (/ 1 x) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) (pow y 2))))) y) |
(/ (- (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) (pow y 3)))) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))) (+ (/ 1 x) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) (pow y 2)))))) y) |
(/ -1 (* x y)) |
(* -1 (/ (- (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y)))) y)) (/ 1 x)) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) y)))) y)) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y)) (/ 1 x)) y)) |
-5000000000000000/5641895835477563 |
(- (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563) |
(- (* x (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 2))) (* -25000000000000000000000000000000/31830988618379068626528276418969 y))) 5000000000000000/5641895835477563) |
(- (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 3))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 2)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 y))) 5000000000000000/5641895835477563) |
(/ -1 (* x y)) |
(/ (- (* 5641895835477563/5000000000000000 (/ 1 (* x (pow y 2)))) (/ 1 y)) x) |
(/ (- (/ 5641895835477563/5000000000000000 (* x (pow y 2))) (+ (/ 1 y) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 2) (pow y 3))))) x) |
(/ (- (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 3) (pow y 4)))) (/ 5641895835477563/5000000000000000 (* x (pow y 2)))) (+ (/ 1 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 2) (pow y 3)))))) x) |
(/ -1 (* x y)) |
(* -1 (/ (- (/ 1 y) (* 5641895835477563/5000000000000000 (/ 1 (* x (pow y 2))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* 5641895835477563/5000000000000000 (/ 1 (pow y 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 3))))) x)) (/ 1 y)) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 3))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* x (pow y 4))))) x)) (* 5641895835477563/5000000000000000 (/ 1 (pow y 2)))) x)) (/ 1 y)) x)) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) (/ (* x y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2)))) |
(* y (+ (* y (- (/ (* (pow x 2) y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3)) (* -1 (/ x (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))))) |
(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow x 3)) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow x 3))) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))) (* -1 (/ (pow x 3) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 4)))))) (* -1 (/ (pow x 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3))))) (* -1 (/ x (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))))) |
(/ -1 x) |
(- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2))) y)) (/ 1 x)) |
(- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) (* x (pow y 2)))) (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* (pow x 2) y))))) |
(- (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) (* (pow x 2) (pow y 3)))) (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* (pow x 2) y)) (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) (* x (pow y 2))))))) |
(/ -1 x) |
(- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* (pow x 2) y))) (/ 1 x)) |
(- (* -1 (/ (- (/ (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2) (* (pow x 3) y)) (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (pow x 2)))) y)) (/ 1 x)) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3) (* (pow x 4) y))) (/ (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2) (pow x 3))) y)) (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (pow x 2)))) y)) (/ 1 x)) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(+ (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) (/ (* x (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))) |
(+ (* x (- (/ (* x (pow y 3)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3)) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* y (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 3)) (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 3)))) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))) (* -1 (/ (pow y 4) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 4)))))) (* -1 (/ (pow y 3) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3))))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))) |
(/ -1 x) |
(/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y)) x)) 1) x) |
(/ (- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) (* (pow x 2) y))) (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* x y))))) x) |
(/ (- (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) (* (pow x 3) (pow y 2)))) (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* x y)) (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) (* (pow x 2) y)))))) x) |
(/ -1 x) |
(* -1 (/ (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* x y)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) (* x y))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) (* x (pow y 2))) (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) y))) x)) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) x))) x)) |
(/ y (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000))))) |
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) 2))) (/ y (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))))) |
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) 2))))) (/ y (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))))) |
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) 2)))) (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) 2))))) (/ y (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))))) |
(* 30000000000000000/5641895835477563 (/ y (pow z 3))) |
(/ (+ (* -90000000000000000/5641895835477563 (/ y z)) (* 30000000000000000/5641895835477563 y)) (pow z 3)) |
(/ (- (+ (* -1 (/ (+ (* -270000000000000000/5641895835477563 y) (* 180000000000000000/5641895835477563 y)) (pow z 2))) (* 30000000000000000/5641895835477563 y)) (* 90000000000000000/5641895835477563 (/ y z))) (pow z 3)) |
(/ (- (+ (* -1 (/ (+ (* -540000000000000000/5641895835477563 y) (+ (* -3 (+ (* -270000000000000000/5641895835477563 y) (* 180000000000000000/5641895835477563 y))) (* 900000000000000000000000000000000/31830988618379068626528276418969 (* y (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))))))) (pow z 3))) (* 30000000000000000/5641895835477563 y)) (+ (* -270000000000000000/5641895835477563 (/ y (pow z 2))) (+ (* 90000000000000000/5641895835477563 (/ y z)) (* 180000000000000000/5641895835477563 (/ y (pow z 2)))))) (pow z 3)) |
(* 30000000000000000/5641895835477563 (/ y (pow z 3))) |
(* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* 90000000000000000/5641895835477563 (/ y z))) (pow z 3))) |
(* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* -1 (/ (- (+ (* -180000000000000000/5641895835477563 (/ y z)) (* 270000000000000000/5641895835477563 (/ y z))) (* 90000000000000000/5641895835477563 y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* -1 (/ (- (* -1 (/ (- (+ (* -540000000000000000/5641895835477563 (/ y z)) (+ (* 3 (/ (+ (* -180000000000000000/5641895835477563 y) (* 270000000000000000/5641895835477563 y)) z)) (* 900000000000000000000000000000000/31830988618379068626528276418969 (/ (* y (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000))))) z)))) (+ (* -180000000000000000/5641895835477563 y) (* 270000000000000000/5641895835477563 y))) z)) (* 90000000000000000/5641895835477563 y)) z))) (pow z 3))) |
-31830988618379068626528276418969/25000000000000000000000000000000 |
(- (* (pow x 2) (pow y 2)) 31830988618379068626528276418969/25000000000000000000000000000000) |
(- (* (pow x 2) (pow y 2)) 31830988618379068626528276418969/25000000000000000000000000000000) |
(- (* (pow x 2) (pow y 2)) 31830988618379068626528276418969/25000000000000000000000000000000) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (- (pow y 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (pow y 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (pow y 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2))))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (- (pow y 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (pow y 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (pow y 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2))))) |
-31830988618379068626528276418969/25000000000000000000000000000000 |
(- (* (pow x 2) (pow y 2)) 31830988618379068626528276418969/25000000000000000000000000000000) |
(- (* (pow x 2) (pow y 2)) 31830988618379068626528276418969/25000000000000000000000000000000) |
(- (* (pow x 2) (pow y 2)) 31830988618379068626528276418969/25000000000000000000000000000000) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (- (pow x 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))))) |
(* (pow y 2) (- (pow x 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))))) |
(* (pow y 2) (- (pow x 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (- (pow x 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))))) |
(* (pow y 2) (- (pow x 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))))) |
(* (pow y 2) (- (pow x 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))))) |
| Outputs |
|---|
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(+ x (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))) |
(+.f64 (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) x) |
(+ x (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))) |
(+.f64 (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) x) |
(+ x (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))) |
(+.f64 (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) x) |
x |
(* x (+ 1 (/ y (* x (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))))) |
(fma.f64 x (/.f64 y (*.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)) x) |
(* x (+ 1 (/ y (* x (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))))) |
(fma.f64 x (/.f64 y (*.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)) x) |
(* x (+ 1 (/ y (* x (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))))) |
(fma.f64 x (/.f64 y (*.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)) x) |
x |
(* -1 (* x (- (* -1 (/ y (* x (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))) 1))) |
(neg.f64 (fma.f64 x (/.f64 (neg.f64 y) (*.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)) (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))) 1))) |
(neg.f64 (fma.f64 x (/.f64 (neg.f64 y) (*.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)) (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))) 1))) |
(neg.f64 (fma.f64 x (/.f64 (neg.f64 y) (*.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) x)) (neg.f64 x))) |
x |
(+ x (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))) |
(+.f64 (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) x) |
(+ x (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))) |
(+.f64 (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) x) |
(+ x (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))) |
(+.f64 (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) x) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (/ x y))) |
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (/.f64 x y))) |
(* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (/ x y))) |
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (/.f64 x y))) |
(* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (/ x y))) |
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (/.f64 x y))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(* -1 (* y (- (* -1 (/ x y)) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))))) |
(*.f64 (+.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (neg.f64 y)) |
(* -1 (* y (- (* -1 (/ x y)) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))))) |
(*.f64 (+.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (neg.f64 y)) |
(* -1 (* y (- (* -1 (/ x y)) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))))) |
(*.f64 (+.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (neg.f64 y)) |
(+ x (* 5000000000000000/5641895835477563 y)) |
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
(+ x (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))) |
(fma.f64 y (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)) |
(+ x (+ (* 5000000000000000/5641895835477563 y) (* z (- (* -1 (* z (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y)))) (* 5000000000000000/5641895835477563 y))))) |
(fma.f64 z (fma.f64 y #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 z (*.f64 y #s(literal 2500000000000000/5641895835477563 binary64)))) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)) |
(+ x (+ (* 5000000000000000/5641895835477563 y) (* z (- (* z (- (* -1 (* z (+ (* -1 (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y))) (* -2500000000000000/5641895835477563 y)))) (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y)))) (* 5000000000000000/5641895835477563 y))))) |
(fma.f64 z (fma.f64 z (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 y #s(literal -2500000000000000/5641895835477563 binary64))) (neg.f64 z) (*.f64 y #s(literal 2500000000000000/5641895835477563 binary64))) (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)) |
x |
(+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2)))) |
(fma.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (*.f64 z z)) x) |
(+ x (+ (* -20000000000000000/5641895835477563 (/ y (pow z 3))) (* 10000000000000000/5641895835477563 (/ y (pow z 2))))) |
(fma.f64 y (/.f64 #s(literal -20000000000000000/5641895835477563 binary64) (*.f64 z (*.f64 z z))) (fma.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (*.f64 z z)) x)) |
(- (+ x (+ (* -1 (/ (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y)) (pow z 4))) (* 10000000000000000/5641895835477563 (/ y (pow z 2))))) (* 20000000000000000/5641895835477563 (/ y (pow z 3)))) |
(+.f64 (fma.f64 y (/.f64 #s(literal 10000000000000000/5641895835477563 binary64) (*.f64 z z)) (/.f64 (*.f64 y #s(literal 20000000000000000/5641895835477563 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 y (/.f64 #s(literal -20000000000000000/5641895835477563 binary64) (*.f64 z (*.f64 z z))) x)) |
x |
(+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2)))) |
(fma.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (*.f64 z z)) x) |
(+ x (+ (* -20000000000000000/5641895835477563 (/ y (pow z 3))) (* 10000000000000000/5641895835477563 (/ y (pow z 2))))) |
(fma.f64 y (/.f64 #s(literal -20000000000000000/5641895835477563 binary64) (*.f64 z (*.f64 z z))) (fma.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (*.f64 z z)) x)) |
(+ x (+ (* -1 (/ (- (+ (* -40000000000000000/5641895835477563 (/ y z)) (* 20000000000000000/5641895835477563 (/ y z))) (* -20000000000000000/5641895835477563 y)) (pow z 3))) (* 10000000000000000/5641895835477563 (/ y (pow z 2))))) |
(fma.f64 y (/.f64 #s(literal 10000000000000000/5641895835477563 binary64) (*.f64 z z)) (-.f64 x (/.f64 (*.f64 #s(literal -20000000000000000/5641895835477563 binary64) (-.f64 (/.f64 y z) y)) (*.f64 z (*.f64 z z))))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(* 5000000000000000/5641895835477563 y) |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y)) |
(fma.f64 y (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) |
(+ (* 5000000000000000/5641895835477563 y) (* z (- (* -1 (* z (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y)))) (* 5000000000000000/5641895835477563 y)))) |
(fma.f64 z (fma.f64 y #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 z (*.f64 y #s(literal 2500000000000000/5641895835477563 binary64)))) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) |
(+ (* 5000000000000000/5641895835477563 y) (* z (- (* z (- (* -1 (* z (+ (* -1 (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y))) (* -2500000000000000/5641895835477563 y)))) (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y)))) (* 5000000000000000/5641895835477563 y)))) |
(fma.f64 z (fma.f64 z (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 y #s(literal -2500000000000000/5641895835477563 binary64))) (neg.f64 z) (*.f64 y #s(literal 2500000000000000/5641895835477563 binary64))) (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) |
(* 10000000000000000/5641895835477563 (/ y (pow z 2))) |
(*.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (*.f64 z z))) |
(/ (+ (* -20000000000000000/5641895835477563 (/ y z)) (* 10000000000000000/5641895835477563 y)) (pow z 2)) |
(/.f64 (fma.f64 y #s(literal 10000000000000000/5641895835477563 binary64) (*.f64 #s(literal -20000000000000000/5641895835477563 binary64) (/.f64 y z))) (*.f64 z z)) |
(/ (- (+ (* -1 (/ (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y)) (pow z 2))) (* 10000000000000000/5641895835477563 y)) (* 20000000000000000/5641895835477563 (/ y z))) (pow z 2)) |
(/.f64 (fma.f64 y #s(literal 10000000000000000/5641895835477563 binary64) (fma.f64 y (/.f64 #s(literal 20000000000000000/5641895835477563 binary64) (*.f64 z z)) (*.f64 #s(literal -20000000000000000/5641895835477563 binary64) (/.f64 y z)))) (*.f64 z z)) |
(/ (- (+ (* -1 (/ (+ (* -40000000000000000/5641895835477563 y) (* -2 (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y)))) (pow z 3))) (* 10000000000000000/5641895835477563 y)) (+ (* -40000000000000000/5641895835477563 (/ y (pow z 2))) (+ (* 20000000000000000/5641895835477563 (/ y z)) (* 20000000000000000/5641895835477563 (/ y (pow z 2)))))) (pow z 2)) |
(/.f64 (-.f64 (-.f64 (*.f64 y #s(literal 10000000000000000/5641895835477563 binary64)) (/.f64 (fma.f64 y #s(literal -40000000000000000/5641895835477563 binary64) (*.f64 y #s(literal 40000000000000000/5641895835477563 binary64))) (*.f64 z (*.f64 z z)))) (fma.f64 #s(literal 20000000000000000/5641895835477563 binary64) (+.f64 (/.f64 y (*.f64 z z)) (/.f64 y z)) (*.f64 (/.f64 y (*.f64 z z)) #s(literal -40000000000000000/5641895835477563 binary64)))) (*.f64 z z)) |
(* 10000000000000000/5641895835477563 (/ y (pow z 2))) |
(*.f64 #s(literal 10000000000000000/5641895835477563 binary64) (/.f64 y (*.f64 z z))) |
(/ (+ (* -20000000000000000/5641895835477563 (/ y z)) (* 10000000000000000/5641895835477563 y)) (pow z 2)) |
(/.f64 (fma.f64 y #s(literal 10000000000000000/5641895835477563 binary64) (*.f64 #s(literal -20000000000000000/5641895835477563 binary64) (/.f64 y z))) (*.f64 z z)) |
(/ (+ (* -1 (/ (- (+ (* -40000000000000000/5641895835477563 (/ y z)) (* 20000000000000000/5641895835477563 (/ y z))) (* -20000000000000000/5641895835477563 y)) z)) (* 10000000000000000/5641895835477563 y)) (pow z 2)) |
(/.f64 (-.f64 (*.f64 y #s(literal 10000000000000000/5641895835477563 binary64)) (/.f64 (*.f64 #s(literal -20000000000000000/5641895835477563 binary64) (-.f64 (/.f64 y z) y)) z)) (*.f64 z z)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y)) z)) (* 40000000000000000/5641895835477563 (/ y z))) (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y))) z)) (* -20000000000000000/5641895835477563 y)) z)) (* 10000000000000000/5641895835477563 y)) (pow z 2)) |
(/.f64 (-.f64 (*.f64 y #s(literal 10000000000000000/5641895835477563 binary64)) (/.f64 (fma.f64 y #s(literal 20000000000000000/5641895835477563 binary64) (/.f64 (fma.f64 y (/.f64 #s(literal -40000000000000000/5641895835477563 binary64) z) (fma.f64 (/.f64 y z) #s(literal 40000000000000000/5641895835477563 binary64) (*.f64 y #s(literal 20000000000000000/5641895835477563 binary64)))) (neg.f64 z))) z)) (*.f64 z z)) |
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 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) |
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/10000000000000000 (pow z 2)) |
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(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) 2)))) (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) 2))))) (/ y (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))))) |
(fma.f64 z (fma.f64 z (neg.f64 (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 y (*.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64)))) (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64)))))) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 y (*.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64)))) (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64)))))) (/.f64 (*.f64 y #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))))) (/.f64 (*.f64 y #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64)) (pow.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64))))) (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 y (*.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64)))) (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64)))))) (/.f64 (*.f64 y #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (pow.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 3 binary64)))))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) y) (*.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64)))) (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))))))) (/.f64 y (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64)))))) |
(* 30000000000000000/5641895835477563 (/ y (pow z 3))) |
(*.f64 (/.f64 y (*.f64 z (*.f64 z z))) #s(literal 30000000000000000/5641895835477563 binary64)) |
(/ (+ (* -90000000000000000/5641895835477563 (/ y z)) (* 30000000000000000/5641895835477563 y)) (pow z 3)) |
(/.f64 (fma.f64 (/.f64 y z) #s(literal -90000000000000000/5641895835477563 binary64) (*.f64 y #s(literal 30000000000000000/5641895835477563 binary64))) (*.f64 z (*.f64 z z))) |
(/ (- (+ (* -1 (/ (+ (* -270000000000000000/5641895835477563 y) (* 180000000000000000/5641895835477563 y)) (pow z 2))) (* 30000000000000000/5641895835477563 y)) (* 90000000000000000/5641895835477563 (/ y z))) (pow z 3)) |
(/.f64 (fma.f64 (/.f64 y z) #s(literal -90000000000000000/5641895835477563 binary64) (-.f64 (*.f64 y #s(literal 30000000000000000/5641895835477563 binary64)) (/.f64 (*.f64 y #s(literal -90000000000000000/5641895835477563 binary64)) (*.f64 z z)))) (*.f64 z (*.f64 z z))) |
(/ (- (+ (* -1 (/ (+ (* -540000000000000000/5641895835477563 y) (+ (* -3 (+ (* -270000000000000000/5641895835477563 y) (* 180000000000000000/5641895835477563 y))) (* 900000000000000000000000000000000/31830988618379068626528276418969 (* y (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))))))) (pow z 3))) (* 30000000000000000/5641895835477563 y)) (+ (* -270000000000000000/5641895835477563 (/ y (pow z 2))) (+ (* 90000000000000000/5641895835477563 (/ y z)) (* 180000000000000000/5641895835477563 (/ y (pow z 2)))))) (pow z 3)) |
(/.f64 (-.f64 (-.f64 (*.f64 y #s(literal 30000000000000000/5641895835477563 binary64)) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64)))) (*.f64 y #s(literal 900000000000000000000000000000000/31830988618379068626528276418969 binary64)) (fma.f64 y #s(literal 270000000000000000/5641895835477563 binary64) (*.f64 y #s(literal -540000000000000000/5641895835477563 binary64)))) (*.f64 z (*.f64 z z)))) (fma.f64 y (/.f64 #s(literal 90000000000000000/5641895835477563 binary64) z) (fma.f64 y (/.f64 #s(literal 180000000000000000/5641895835477563 binary64) (*.f64 z z)) (*.f64 (/.f64 y (*.f64 z z)) #s(literal -270000000000000000/5641895835477563 binary64))))) (*.f64 z (*.f64 z z))) |
(* 30000000000000000/5641895835477563 (/ y (pow z 3))) |
(*.f64 (/.f64 y (*.f64 z (*.f64 z z))) #s(literal 30000000000000000/5641895835477563 binary64)) |
(* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* 90000000000000000/5641895835477563 (/ y z))) (pow z 3))) |
(/.f64 (fma.f64 y #s(literal -30000000000000000/5641895835477563 binary64) (*.f64 (/.f64 y z) #s(literal 90000000000000000/5641895835477563 binary64))) (neg.f64 (*.f64 z (*.f64 z z)))) |
(* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* -1 (/ (- (+ (* -180000000000000000/5641895835477563 (/ y z)) (* 270000000000000000/5641895835477563 (/ y z))) (* 90000000000000000/5641895835477563 y)) z))) (pow z 3))) |
(/.f64 (-.f64 (*.f64 y #s(literal -30000000000000000/5641895835477563 binary64)) (/.f64 (*.f64 #s(literal 90000000000000000/5641895835477563 binary64) (-.f64 (/.f64 y z) y)) z)) (neg.f64 (*.f64 z (*.f64 z z)))) |
(* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* -1 (/ (- (* -1 (/ (- (+ (* -540000000000000000/5641895835477563 (/ y z)) (+ (* 3 (/ (+ (* -180000000000000000/5641895835477563 y) (* 270000000000000000/5641895835477563 y)) z)) (* 900000000000000000000000000000000/31830988618379068626528276418969 (/ (* y (- (/ (* (pow x 2) (pow y 2)) (- (* -1 (* x y)) 5641895835477563/5000000000000000)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000))))) z)))) (+ (* -180000000000000000/5641895835477563 y) (* 270000000000000000/5641895835477563 y))) z)) (* 90000000000000000/5641895835477563 y)) z))) (pow z 3))) |
(/.f64 (-.f64 (*.f64 y #s(literal -30000000000000000/5641895835477563 binary64)) (/.f64 (fma.f64 y #s(literal -90000000000000000/5641895835477563 binary64) (/.f64 (fma.f64 y #s(literal -90000000000000000/5641895835477563 binary64) (fma.f64 y (/.f64 #s(literal -540000000000000000/5641895835477563 binary64) z) (fma.f64 #s(literal 900000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64)))) (/.f64 y z)) (/.f64 (*.f64 y #s(literal 270000000000000000/5641895835477563 binary64)) z)))) (neg.f64 z))) z)) (neg.f64 (*.f64 z (*.f64 z z)))) |
-31830988618379068626528276418969/25000000000000000000000000000000 |
#s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) |
(- (* (pow x 2) (pow y 2)) 31830988618379068626528276418969/25000000000000000000000000000000) |
(fma.f64 y (*.f64 y (*.f64 x x)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) |
(- (* (pow x 2) (pow y 2)) 31830988618379068626528276418969/25000000000000000000000000000000) |
(fma.f64 y (*.f64 y (*.f64 x x)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) |
(- (* (pow x 2) (pow y 2)) 31830988618379068626528276418969/25000000000000000000000000000000) |
(fma.f64 y (*.f64 y (*.f64 x x)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) |
(* (pow x 2) (pow y 2)) |
(*.f64 y (*.f64 y (*.f64 x x))) |
(* (pow x 2) (- (pow y 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 y y (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x x)))) |
(* (pow x 2) (- (pow y 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 y y (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x x)))) |
(* (pow x 2) (- (pow y 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 y y (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x x)))) |
(* (pow x 2) (pow y 2)) |
(*.f64 y (*.f64 y (*.f64 x x))) |
(* (pow x 2) (- (pow y 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 y y (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x x)))) |
(* (pow x 2) (- (pow y 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 y y (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x x)))) |
(* (pow x 2) (- (pow y 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 y y (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x x)))) |
-31830988618379068626528276418969/25000000000000000000000000000000 |
#s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) |
(- (* (pow x 2) (pow y 2)) 31830988618379068626528276418969/25000000000000000000000000000000) |
(fma.f64 y (*.f64 y (*.f64 x x)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) |
(- (* (pow x 2) (pow y 2)) 31830988618379068626528276418969/25000000000000000000000000000000) |
(fma.f64 y (*.f64 y (*.f64 x x)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) |
(- (* (pow x 2) (pow y 2)) 31830988618379068626528276418969/25000000000000000000000000000000) |
(fma.f64 y (*.f64 y (*.f64 x x)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) |
(* (pow x 2) (pow y 2)) |
(*.f64 y (*.f64 y (*.f64 x x))) |
(* (pow y 2) (- (pow x 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (fma.f64 x x (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)))) |
(* (pow y 2) (- (pow x 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (fma.f64 x x (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)))) |
(* (pow y 2) (- (pow x 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (fma.f64 x x (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)))) |
(* (pow x 2) (pow y 2)) |
(*.f64 y (*.f64 y (*.f64 x x))) |
(* (pow y 2) (- (pow x 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (fma.f64 x x (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)))) |
(* (pow y 2) (- (pow x 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (fma.f64 x x (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)))) |
(* (pow y 2) (- (pow x 2) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (fma.f64 x x (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)))) |
Compiled 51 522 to 3 227 computations (93.7% saved)
17 alts after pruning (13 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 007 | 6 | 1 013 |
| Fresh | 1 | 7 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 011 | 17 | 1 028 |
| Status | Accuracy | Program |
|---|---|---|
| 15.6% | (fma.f64 z (fma.f64 y #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 z (*.f64 y #s(literal 2500000000000000/5641895835477563 binary64)))) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) | |
| 49.6% | (fma.f64 y (fma.f64 (*.f64 y x) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x) | |
| ▶ | 54.1% | (fma.f64 y (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)) |
| 15.9% | (fma.f64 y (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) | |
| ▶ | 63.2% | (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
| ▶ | 15.9% | (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
| ✓ | 15.9% | (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
| 15.7% | (/.f64 y (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) | |
| 15.7% | (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) | |
| 16.8% | (/.f64 #s(literal -1 binary64) x) | |
| ▶ | 66.9% | (+.f64 (/.f64 #s(literal -1 binary64) x) x) |
| ✓ | 81.6% | (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) |
| ▶ | 68.3% | (+.f64 x (/.f64 y (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
| 67.2% | (+.f64 x (/.f64 y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) | |
| 16.3% | (*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) | |
| ✓ | 15.6% | (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
| ✓ | 70.2% | x |
Compiled 330 to 236 computations (28.5% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)) |
| ✓ | cost-diff | 320 | (fma.f64 y (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal -1 binary64) x) x) |
| ✓ | cost-diff | 0 | (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 y (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))) |
| ✓ | cost-diff | 0 | (+.f64 x (/.f64 y (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) |
| ✓ | cost-diff | 320 | (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
| 5 304× | accelerator-lowering-fma.f32 |
| 5 304× | accelerator-lowering-fma.f64 |
| 1 448× | *-lowering-*.f32 |
| 1 448× | *-lowering-*.f64 |
| 968× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 205 |
| 1 | 75 | 198 |
| 2 | 161 | 198 |
| 3 | 253 | 198 |
| 4 | 331 | 198 |
| 5 | 384 | 198 |
| 6 | 460 | 198 |
| 7 | 666 | 198 |
| 8 | 948 | 198 |
| 9 | 1589 | 198 |
| 10 | 2741 | 198 |
| 11 | 3573 | 198 |
| 12 | 3933 | 198 |
| 13 | 4142 | 198 |
| 14 | 4455 | 198 |
| 15 | 4533 | 198 |
| 16 | 4614 | 198 |
| 17 | 4694 | 198 |
| 18 | 4710 | 198 |
| 19 | 4714 | 198 |
| 20 | 4716 | 198 |
| 21 | 4722 | 198 |
| 0 | 4722 | 167 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ x (/ y (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))) (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))))) |
x |
(/ y (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))) (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)))) |
y |
(+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))) (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))) |
-31830988618379068626528276418969/25000000000000000000000000000000 |
(/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000)) |
1 |
(+ (* y (neg x)) -5641895835477563/5000000000000000) |
(neg x) |
-5641895835477563/5000000000000000 |
(* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) |
z |
(+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) |
(+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) |
5641895835477563/30000000000000000 |
5641895835477563/10000000000000000 |
5641895835477563/5000000000000000 |
(+ (* y 5000000000000000/5641895835477563) x) |
y |
5000000000000000/5641895835477563 |
x |
(+ (/ -1 x) x) |
(/ -1 x) |
-1 |
x |
(+ (* y (* z -5000000000000000/5641895835477563)) (+ (* y 5000000000000000/5641895835477563) x)) |
y |
(* z -5000000000000000/5641895835477563) |
z |
-5000000000000000/5641895835477563 |
(+ (* y 5000000000000000/5641895835477563) x) |
5000000000000000/5641895835477563 |
x |
(/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)) |
y |
(+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) |
z |
(+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) |
(+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) |
5641895835477563/30000000000000000 |
5641895835477563/10000000000000000 |
5641895835477563/5000000000000000 |
| Outputs |
|---|
(+ x (/ y (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))) (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))))) |
(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 x y #s(literal 5641895835477563/5000000000000000 binary64)))))) |
x |
(/ y (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))) (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)))) |
(/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 x y #s(literal 5641895835477563/5000000000000000 binary64))))) |
y |
(+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))) (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))) |
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 x y #s(literal 5641895835477563/5000000000000000 binary64)))) |
-31830988618379068626528276418969/25000000000000000000000000000000 |
#s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) |
(/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 5641895835477563/5000000000000000 binary64))) |
1 |
#s(literal 1 binary64) |
(+ (* y (neg x)) -5641895835477563/5000000000000000) |
(fma.f64 x (neg.f64 y) #s(literal -5641895835477563/5000000000000000 binary64)) |
(neg x) |
(neg.f64 x) |
-5641895835477563/5000000000000000 |
#s(literal -5641895835477563/5000000000000000 binary64) |
(* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) |
(*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
z |
(+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) |
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) |
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) |
5641895835477563/30000000000000000 |
#s(literal 5641895835477563/30000000000000000 binary64) |
5641895835477563/10000000000000000 |
#s(literal 5641895835477563/10000000000000000 binary64) |
5641895835477563/5000000000000000 |
#s(literal 5641895835477563/5000000000000000 binary64) |
(+ (* y 5000000000000000/5641895835477563) x) |
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
y |
5000000000000000/5641895835477563 |
#s(literal 5000000000000000/5641895835477563 binary64) |
x |
(+ (/ -1 x) x) |
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
-1 |
#s(literal -1 binary64) |
x |
(+ (* y (* z -5000000000000000/5641895835477563)) (+ (* y 5000000000000000/5641895835477563) x)) |
(fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x) |
y |
(* z -5000000000000000/5641895835477563) |
(*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)) |
z |
-5000000000000000/5641895835477563 |
#s(literal -5000000000000000/5641895835477563 binary64) |
(+ (* y 5000000000000000/5641895835477563) x) |
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
5000000000000000/5641895835477563 |
#s(literal 5000000000000000/5641895835477563 binary64) |
x |
(/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)) |
(/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
y |
(+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) |
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
z |
(+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) |
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) |
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) |
5641895835477563/30000000000000000 |
#s(literal 5641895835477563/30000000000000000 binary64) |
5641895835477563/10000000000000000 |
#s(literal 5641895835477563/10000000000000000 binary64) |
5641895835477563/5000000000000000 |
#s(literal 5641895835477563/5000000000000000 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | accuracy | 96.9% | (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)) |
| ✓ | accuracy | 99.7% | (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
| ✓ | accuracy | 99.5% | (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal -1 binary64) x) x) |
| ✓ | accuracy | 99.7% | (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
| ✓ | accuracy | 99.9% | (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
| ✓ | accuracy | 98.7% | (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) |
| ✓ | accuracy | 96.9% | (/.f64 y (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))) |
| 124.0ms | 256× | 0 | valid |
Compiled 181 to 36 computations (80.1% saved)
const: 46.0ms (59.7% of total)ival-mult: 12.0ms (15.6% of total)ival-add: 9.0ms (11.7% of total)ival-div: 8.0ms (10.4% of total)ival-neg: 1.0ms (1.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))) (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)))> |
#<alt (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))> |
#<alt (+ x (/ y (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))) (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)))))> |
#<alt (/ y (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))) (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))))> |
#<alt (+ (* y 5000000000000000/5641895835477563) x)> |
#<alt (+ (/ -1 x) x)> |
#<alt (/ -1 x)> |
#<alt (+ (* y (* z -5000000000000000/5641895835477563)) (+ (* y 5000000000000000/5641895835477563) x))> |
#<alt (* z -5000000000000000/5641895835477563)> |
#<alt (/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))> |
#<alt (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)> |
#<alt (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)> |
#<alt (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)> |
#<alt (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))> |
| Outputs |
|---|
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))> |
#<alt (+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))> |
#<alt (+ 5641895835477563/5000000000000000 (+ (* y (- (* 5000000000000000/5641895835477563 (* (pow x 2) y)) x)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))> |
#<alt (+ 5641895835477563/5000000000000000 (+ (* y (- (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow x 3) y)) (* -5000000000000000/5641895835477563 (pow x 2)))) x)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))> |
#<alt (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))> |
#<alt (+ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x y))))> |
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#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))> |
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))> |
#<alt (* 5641895835477563/30000000000000000 (pow z 3))> |
#<alt (* (pow z 3) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))> |
#<alt (* (pow z 3) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))> |
#<alt (* (pow z 3) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow z 3))) (/ 5641895835477563/5000000000000000 (pow z 2))))))> |
#<alt (* 5641895835477563/30000000000000000 (pow z 3))> |
#<alt (* (pow z 3) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))> |
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) z)) 5641895835477563/30000000000000000)))> |
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))) z)) 5641895835477563/30000000000000000)))> |
#<alt 5641895835477563/5000000000000000> |
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))> |
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))> |
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))> |
#<alt (* 5641895835477563/30000000000000000 (pow z 2))> |
#<alt (* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))> |
#<alt (* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))> |
#<alt (* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))> |
#<alt (* 5641895835477563/30000000000000000 (pow z 2))> |
#<alt (* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))> |
#<alt (* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))> |
#<alt (* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))> |
#<alt 5641895835477563/10000000000000000> |
#<alt (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))> |
#<alt (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))> |
#<alt (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))> |
#<alt (* 5641895835477563/30000000000000000 z)> |
#<alt (* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))> |
#<alt (* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))> |
#<alt (* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))> |
#<alt (* 5641895835477563/30000000000000000 z)> |
#<alt (* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))> |
#<alt (* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))> |
#<alt (* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))> |
#<alt (* 5641895835477563/5000000000000000 z)> |
#<alt (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))> |
#<alt (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))> |
#<alt (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))> |
#<alt (* 5641895835477563/30000000000000000 (pow z 3))> |
#<alt (* (pow z 3) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))> |
#<alt (* (pow z 3) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))> |
#<alt (* (pow z 3) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))> |
#<alt (* 5641895835477563/30000000000000000 (pow z 3))> |
#<alt (* (pow z 3) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))> |
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) z)) 5641895835477563/30000000000000000)))> |
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) z)) 5641895835477563/30000000000000000)))> |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (/ y (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))) (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)))) |
| 2.0ms | y | @ | inf | (+ x (/ y (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))) (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))))) |
| 1.0ms | y | @ | -inf | (+ x (/ y (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))) (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))))) |
| 1.0ms | z | @ | 0 | (+ x (/ y (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))) (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))))) |
| 1.0ms | x | @ | 0 | (+ x (/ y (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))) (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))))) |
| 1× | batch-egg-rewrite |
| 5 408× | accelerator-lowering-fma.f32 |
| 5 408× | accelerator-lowering-fma.f64 |
| 4 054× | *-lowering-*.f32 |
| 4 054× | *-lowering-*.f64 |
| 3 784× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 154 |
| 1 | 207 | 148 |
| 2 | 1807 | 148 |
| 0 | 8270 | 125 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))) (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))) |
(/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000)) |
(+ x (/ y (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))) (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))))) |
(/ y (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ (* y (neg x)) -5641895835477563/5000000000000000))) (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)))) |
(+ (* y 5000000000000000/5641895835477563) x) |
(+ (/ -1 x) x) |
(/ -1 x) |
(+ (* y (* z -5000000000000000/5641895835477563)) (+ (* y 5000000000000000/5641895835477563) x)) |
(* z -5000000000000000/5641895835477563) |
(/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)) |
(+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) |
(+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) |
(+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) |
(* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(+.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(+.f64 (*.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
(+.f64 (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z z))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (-.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (*.f64 z (*.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))) (-.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(-.f64 (/.f64 (*.f64 z (*.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))) (-.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))))) (/.f64 (/.f64 #s(literal 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (-.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(fma.f64 z (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z z) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
(fma.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))) z (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
(fma.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) z (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(fma.f64 (*.f64 z z) (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
(fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 (*.f64 y (neg.f64 x)) (*.f64 (*.f64 x x) (*.f64 y y)) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (fma.f64 (*.f64 x x) (*.f64 y y) (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (*.f64 y x) #s(literal -5641895835477563/5000000000000000 binary64)))) (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) (*.f64 y y) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
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(/.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 z (*.f64 z z)) (*.f64 (*.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))) (*.f64 z (*.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)))))) (*.f64 z (*.f64 z z)))) (fma.f64 (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z z)) (*.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z z))) (*.f64 (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z z)))))) |
(*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(*.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) z) |
| 1× | egg-herbie |
| 7 638× | accelerator-lowering-fma.f32 |
| 7 638× | accelerator-lowering-fma.f64 |
| 6 084× | *-lowering-*.f32 |
| 6 084× | *-lowering-*.f64 |
| 4 074× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 813 | 6722 |
| 1 | 2515 | 6621 |
| 0 | 8208 | 5895 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(+ 5641895835477563/5000000000000000 (+ (* y (- (* 5000000000000000/5641895835477563 (* (pow x 2) y)) x)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(+ 5641895835477563/5000000000000000 (+ (* y (- (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow x 3) y)) (* -5000000000000000/5641895835477563 (pow x 2)))) x)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) |
(+ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x y)))) |
(- (+ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* x y))) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 2) (pow y 2)))) |
(- (+ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (+ (* 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (/ 1 (* (pow x 3) (pow y 3)))) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* x y)))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 2) (pow y 2))))) |
(* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) |
(+ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x y)))) |
(+ (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 2) y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 x))) y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(+ (* -1 (/ (- (* -1 (/ (- (* 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (/ 1 (* (pow x 3) y))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (pow x 2)))) y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 x))) y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(+ 5641895835477563/5000000000000000 (+ (* x (- (* 5000000000000000/5641895835477563 (* x (pow y 2))) y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(+ 5641895835477563/5000000000000000 (+ (* x (- (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 3))) (* -5000000000000000/5641895835477563 (pow y 2)))) y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) |
(+ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x y)))) |
(- (+ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* x y))) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 2) (pow y 2)))) |
(- (+ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (+ (* 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (/ 1 (* (pow x 3) (pow y 3)))) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* x y)))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 2) (pow y 2))))) |
(* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) |
(+ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x y)))) |
(+ (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* x (pow y 2)))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 y))) x)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(+ (* -1 (/ (- (* -1 (/ (- (* 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (/ 1 (* x (pow y 3)))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (pow y 2)))) x)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 y))) x)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(/ -31830988618379068626528276418969/25000000000000000000000000000000 (- (* -1 (* x y)) 5641895835477563/5000000000000000)) |
(- (* 5641895835477563/5000000000000000 z) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) |
(- (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) |
(- (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) |
(* 5641895835477563/30000000000000000 (pow z 3)) |
(* (pow z 3) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* (pow z 3) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(* (pow z 3) (- (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow z 3) (- (* -1 (* x y)) 5641895835477563/5000000000000000)))))) |
(* 5641895835477563/30000000000000000 (pow z 3)) |
(* (pow z 3) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* -1 (* (pow z 3) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) z)) 5641895835477563/30000000000000000))) |
(* -1 (* (pow z 3) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* z (- (* -1 (* x y)) 5641895835477563/5000000000000000)))) 5641895835477563/5000000000000000) z))) z)) 5641895835477563/30000000000000000))) |
-5000000000000000/5641895835477563 |
(- (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563) |
(- (* y (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* -25000000000000000000000000000000/31830988618379068626528276418969 x))) 5000000000000000/5641895835477563) |
(- (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 3) y)) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow x 2)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 x))) 5000000000000000/5641895835477563) |
(/ -1 (* x y)) |
(/ (- (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y))) (/ 1 x)) y) |
(/ (- (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (+ (/ 1 x) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) (pow y 2))))) y) |
(/ (- (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) (pow y 3)))) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))) (+ (/ 1 x) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) (pow y 2)))))) y) |
(/ -1 (* x y)) |
(* -1 (/ (- (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y)))) y)) (/ 1 x)) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) y)))) y)) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y)) (/ 1 x)) y)) |
-5000000000000000/5641895835477563 |
(- (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)) 5000000000000000/5641895835477563) |
(- (* x (- (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 2))) (* -25000000000000000000000000000000/31830988618379068626528276418969 y))) 5000000000000000/5641895835477563) |
(- (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 3))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 2)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 y))) 5000000000000000/5641895835477563) |
(/ -1 (* x y)) |
(/ (- (* 5641895835477563/5000000000000000 (/ 1 (* x (pow y 2)))) (/ 1 y)) x) |
(/ (- (/ 5641895835477563/5000000000000000 (* x (pow y 2))) (+ (/ 1 y) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 2) (pow y 3))))) x) |
(/ (- (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 3) (pow y 4)))) (/ 5641895835477563/5000000000000000 (* x (pow y 2)))) (+ (/ 1 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 2) (pow y 3)))))) x) |
(/ -1 (* x y)) |
(* -1 (/ (- (/ 1 y) (* 5641895835477563/5000000000000000 (/ 1 (* x (pow y 2))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* 5641895835477563/5000000000000000 (/ 1 (pow y 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 3))))) x)) (/ 1 y)) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 3))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* x (pow y 4))))) x)) (* 5641895835477563/5000000000000000 (/ 1 (pow y 2)))) x)) (/ 1 y)) x)) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(+ (* x (- 1 (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))) |
(+ (* x (- (+ 1 (* -1 (* x (+ (* -1 (/ (pow y 3) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3))) (* 5000000000000000/5641895835477563 (/ (pow y 3) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))) |
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 4) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))) (+ (* 5000000000000000/5641895835477563 (/ (pow y 4) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3))) (/ (* y (+ (* -1 (/ (pow y 3) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3))) (* 5000000000000000/5641895835477563 (/ (pow y 3) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))))))) (+ (* -1 (/ (pow y 3) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3))) (* 5000000000000000/5641895835477563 (/ (pow y 3) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))) |
x |
(* x (+ 1 (/ y (* x (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))))) |
(* x (- (+ 1 (/ y (* x (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 2) (* (pow z 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) 2)))))) |
(* x (- (+ 1 (+ (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 3) (* y (* (pow z 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) 2))))) (+ (/ 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (* (pow x 3) (* y (* (pow z 3) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) 3))))) (/ y (* x (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 2) (* (pow z 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) 2))))))) |
x |
(* -1 (* x (- (* -1 (/ y (* x (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ y (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (* (pow z 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) 2)))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* y (* (pow z 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) 2))))) (* 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (/ 1 (* y (* (pow z 3) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) 3)))))) x)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow z 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) 2))))) x)) (/ y (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) x)) 1))) |
x |
(+ x (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))) |
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x |
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x |
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(* 30000000000000000/5641895835477563 (/ y (pow z 3))) |
(/ (+ (* -90000000000000000/5641895835477563 (/ y z)) (* 30000000000000000/5641895835477563 y)) (pow z 3)) |
(/ (- (+ (* -1 (/ (+ (* -270000000000000000/5641895835477563 y) (* 180000000000000000/5641895835477563 y)) (pow z 2))) (* 30000000000000000/5641895835477563 y)) (* 90000000000000000/5641895835477563 (/ y z))) (pow z 3)) |
(/ (- (+ (* -1 (/ (+ (* -540000000000000000/5641895835477563 y) (+ (* -3 (+ (* -270000000000000000/5641895835477563 y) (* 180000000000000000/5641895835477563 y))) (* 180000000000000000/5641895835477563 y))) (pow z 3))) (* 30000000000000000/5641895835477563 y)) (+ (* -270000000000000000/5641895835477563 (/ y (pow z 2))) (+ (* 90000000000000000/5641895835477563 (/ y z)) (* 180000000000000000/5641895835477563 (/ y (pow z 2)))))) (pow z 3)) |
(* 30000000000000000/5641895835477563 (/ y (pow z 3))) |
(* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* 90000000000000000/5641895835477563 (/ y z))) (pow z 3))) |
(* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* -1 (/ (- (+ (* -180000000000000000/5641895835477563 (/ y z)) (* 270000000000000000/5641895835477563 (/ y z))) (* 90000000000000000/5641895835477563 y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* -1 (/ (- (* -1 (/ (- (+ (* -540000000000000000/5641895835477563 (/ y z)) (+ (* 3 (/ (+ (* -180000000000000000/5641895835477563 y) (* 270000000000000000/5641895835477563 y)) z)) (* 180000000000000000/5641895835477563 (/ y z)))) (+ (* -180000000000000000/5641895835477563 y) (* 270000000000000000/5641895835477563 y))) z)) (* 90000000000000000/5641895835477563 y)) z))) (pow z 3))) |
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)))))) |
(* 5641895835477563/30000000000000000 (pow z 3)) |
(* (pow z 3) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* (pow z 3) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(* (pow z 3) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow z 3))) (/ 5641895835477563/5000000000000000 (pow z 2)))))) |
(* 5641895835477563/30000000000000000 (pow z 3)) |
(* (pow z 3) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* -1 (* (pow z 3) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) z)) 5641895835477563/30000000000000000))) |
(* -1 (* (pow z 3) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))) z)) 5641895835477563/30000000000000000))) |
5641895835477563/5000000000000000 |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 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))))) |
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(* 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) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
5641895835477563/10000000000000000 |
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)) |
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)) |
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)) |
(* 5641895835477563/30000000000000000 z) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* 5641895835477563/30000000000000000 z) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* 5641895835477563/5000000000000000 z) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) |
(* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) |
(* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) |
(* 5641895835477563/30000000000000000 (pow z 3)) |
(* (pow z 3) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* (pow z 3) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(* (pow z 3) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(* 5641895835477563/30000000000000000 (pow z 3)) |
(* (pow z 3) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* -1 (* (pow z 3) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) z)) 5641895835477563/30000000000000000))) |
(* -1 (* (pow z 3) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) z)) 5641895835477563/30000000000000000))) |
| Outputs |
|---|
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) |
(+ 5641895835477563/5000000000000000 (+ (* y (- (* 5000000000000000/5641895835477563 (* (pow x 2) y)) x)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (fma.f64 y (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 x x)) (neg.f64 x)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(+ 5641895835477563/5000000000000000 (+ (* y (- (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* (pow x 3) y)) (* -5000000000000000/5641895835477563 (pow x 2)))) x)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 (*.f64 x (*.f64 x x)) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 x x))) (neg.f64 x)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) |
(*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(+ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x y)))) |
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x y))) |
(- (+ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* x y))) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 2) (pow y 2)))) |
(+.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x y))) (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x (*.f64 y y))))) |
(- (+ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (+ (* 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (/ 1 (* (pow x 3) (pow y 3)))) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* x y)))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 2) (pow y 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x y)) (/.f64 #s(literal 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x (*.f64 x (*.f64 y y))))))) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x (*.f64 y y)))))) |
(* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) |
(*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(+ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x y)))) |
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x y))) |
(+ (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 2) y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 x))) y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(-.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (-.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x y)))) |
(+ (* -1 (/ (- (* -1 (/ (- (* 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (/ 1 (* (pow x 3) y))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (pow x 2)))) y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 x))) y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(-.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x (*.f64 x y)))) (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 x x)))) (*.f64 y y)) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x y)))) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) |
(+ 5641895835477563/5000000000000000 (+ (* x (- (* 5000000000000000/5641895835477563 (* x (pow y 2))) y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 x (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 x (*.f64 y y)) (neg.f64 y)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(+ 5641895835477563/5000000000000000 (+ (* x (- (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 3))) (* -5000000000000000/5641895835477563 (pow y 2)))) y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y (*.f64 y y))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 y y))) (neg.f64 y)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) |
(*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(+ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x y)))) |
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x y))) |
(- (+ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* x y))) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 2) (pow y 2)))) |
(+.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x y))) (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x (*.f64 y y))))) |
(- (+ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (+ (* 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (/ 1 (* (pow x 3) (pow y 3)))) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* x y)))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 2) (pow y 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x y)) (/.f64 #s(literal 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x (*.f64 x (*.f64 y y))))))) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x (*.f64 y y)))))) |
(* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) |
(*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(+ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x y)))) |
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x y))) |
(+ (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* x (pow y 2)))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 y))) x)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(-.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (-.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x y)))) |
(+ (* -1 (/ (- (* -1 (/ (- (* 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (/ 1 (* x (pow y 3)))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (pow y 2)))) x)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 y))) x)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(-.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 y y)))) (*.f64 x x)) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x y)))) |
(/ -31830988618379068626528276418969/25000000000000000000000000000000 (- (* -1 (* x y)) 5641895835477563/5000000000000000)) |
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(/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(* 5000000000000000/5641895835477563 y) |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y)) |
(*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) |
(+ (* 5000000000000000/5641895835477563 y) (* z (- (* -1 (* z (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y)))) (* 5000000000000000/5641895835477563 y)))) |
(fma.f64 z (fma.f64 z (*.f64 y #s(literal 2500000000000000/5641895835477563 binary64)) (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) |
(+ (* 5000000000000000/5641895835477563 y) (* z (- (* z (- (* -1 (* z (+ (* -1 (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y))) (+ (* -2500000000000000/5641895835477563 y) (* 2500000000000000/16925687506432689 y))))) (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y)))) (* 5000000000000000/5641895835477563 y)))) |
(fma.f64 z (fma.f64 z (fma.f64 z (neg.f64 (fma.f64 y #s(literal 2500000000000000/5641895835477563 binary64) (*.f64 y #s(literal -5000000000000000/16925687506432689 binary64)))) (*.f64 y #s(literal 2500000000000000/5641895835477563 binary64))) (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) |
(* 30000000000000000/5641895835477563 (/ y (pow z 3))) |
(/.f64 (*.f64 y #s(literal 30000000000000000/5641895835477563 binary64)) (*.f64 z (*.f64 z z))) |
(/ (+ (* -90000000000000000/5641895835477563 (/ y z)) (* 30000000000000000/5641895835477563 y)) (pow z 3)) |
(/.f64 (fma.f64 y #s(literal 30000000000000000/5641895835477563 binary64) (*.f64 #s(literal -90000000000000000/5641895835477563 binary64) (/.f64 y z))) (*.f64 z (*.f64 z z))) |
(/ (- (+ (* -1 (/ (+ (* -270000000000000000/5641895835477563 y) (* 180000000000000000/5641895835477563 y)) (pow z 2))) (* 30000000000000000/5641895835477563 y)) (* 90000000000000000/5641895835477563 (/ y z))) (pow z 3)) |
(/.f64 (fma.f64 #s(literal -90000000000000000/5641895835477563 binary64) (/.f64 y z) (fma.f64 y #s(literal 30000000000000000/5641895835477563 binary64) (/.f64 (*.f64 (neg.f64 y) #s(literal -90000000000000000/5641895835477563 binary64)) (*.f64 z z)))) (*.f64 z (*.f64 z z))) |
(/ (- (+ (* -1 (/ (+ (* -540000000000000000/5641895835477563 y) (+ (* -3 (+ (* -270000000000000000/5641895835477563 y) (* 180000000000000000/5641895835477563 y))) (* 180000000000000000/5641895835477563 y))) (pow z 3))) (* 30000000000000000/5641895835477563 y)) (+ (* -270000000000000000/5641895835477563 (/ y (pow z 2))) (+ (* 90000000000000000/5641895835477563 (/ y z)) (* 180000000000000000/5641895835477563 (/ y (pow z 2)))))) (pow z 3)) |
(/.f64 (-.f64 (fma.f64 y #s(literal 30000000000000000/5641895835477563 binary64) (/.f64 (fma.f64 y #s(literal 180000000000000000/5641895835477563 binary64) (fma.f64 y #s(literal 270000000000000000/5641895835477563 binary64) (*.f64 y #s(literal -540000000000000000/5641895835477563 binary64)))) (neg.f64 (*.f64 z (*.f64 z z))))) (fma.f64 y (/.f64 #s(literal -270000000000000000/5641895835477563 binary64) (*.f64 z z)) (fma.f64 #s(literal 90000000000000000/5641895835477563 binary64) (/.f64 y z) (*.f64 #s(literal 180000000000000000/5641895835477563 binary64) (/.f64 y (*.f64 z z)))))) (*.f64 z (*.f64 z z))) |
(* 30000000000000000/5641895835477563 (/ y (pow z 3))) |
(/.f64 (*.f64 y #s(literal 30000000000000000/5641895835477563 binary64)) (*.f64 z (*.f64 z z))) |
(* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* 90000000000000000/5641895835477563 (/ y z))) (pow z 3))) |
(/.f64 (fma.f64 y (/.f64 #s(literal 90000000000000000/5641895835477563 binary64) z) (*.f64 y #s(literal -30000000000000000/5641895835477563 binary64))) (neg.f64 (*.f64 z (*.f64 z z)))) |
(* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* -1 (/ (- (+ (* -180000000000000000/5641895835477563 (/ y z)) (* 270000000000000000/5641895835477563 (/ y z))) (* 90000000000000000/5641895835477563 y)) z))) (pow z 3))) |
(/.f64 (fma.f64 y #s(literal -30000000000000000/5641895835477563 binary64) (/.f64 (*.f64 #s(literal 90000000000000000/5641895835477563 binary64) (-.f64 (/.f64 y z) y)) (neg.f64 z))) (neg.f64 (*.f64 z (*.f64 z z)))) |
(* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* -1 (/ (- (* -1 (/ (- (+ (* -540000000000000000/5641895835477563 (/ y z)) (+ (* 3 (/ (+ (* -180000000000000000/5641895835477563 y) (* 270000000000000000/5641895835477563 y)) z)) (* 180000000000000000/5641895835477563 (/ y z)))) (+ (* -180000000000000000/5641895835477563 y) (* 270000000000000000/5641895835477563 y))) z)) (* 90000000000000000/5641895835477563 y)) z))) (pow z 3))) |
(/.f64 (fma.f64 y #s(literal -30000000000000000/5641895835477563 binary64) (/.f64 (fma.f64 y #s(literal -90000000000000000/5641895835477563 binary64) (/.f64 (fma.f64 y #s(literal -90000000000000000/5641895835477563 binary64) (fma.f64 (/.f64 y z) #s(literal -540000000000000000/5641895835477563 binary64) (fma.f64 y (/.f64 #s(literal 270000000000000000/5641895835477563 binary64) z) (*.f64 #s(literal 180000000000000000/5641895835477563 binary64) (/.f64 y z))))) (neg.f64 z))) (neg.f64 z))) (neg.f64 (*.f64 z (*.f64 z z)))) |
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 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/30000000000000000 (pow z 3)) |
(*.f64 z (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) |
(* (pow z 3) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(*.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))) |
(* (pow z 3) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(*.f64 (*.f64 z (*.f64 z z)) (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z))))) |
(* (pow z 3) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow z 3))) (/ 5641895835477563/5000000000000000 (pow z 2)))))) |
(*.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z))) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (*.f64 z z)))))) |
(* 5641895835477563/30000000000000000 (pow z 3)) |
(*.f64 z (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) |
(* (pow z 3) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(*.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))) |
(* -1 (* (pow z 3) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) z)) 5641895835477563/30000000000000000))) |
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) (neg.f64 z)) #s(literal -5641895835477563/30000000000000000 binary64)) (neg.f64 (*.f64 z (*.f64 z z)))) |
(* -1 (* (pow z 3) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))) z)) 5641895835477563/30000000000000000))) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z)) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) (neg.f64 z)) #s(literal -5641895835477563/30000000000000000 binary64)) (neg.f64 (*.f64 z (*.f64 z z)))) |
5641895835477563/5000000000000000 |
#s(literal 5641895835477563/5000000000000000 binary64) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)) |
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) |
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) |
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/30000000000000000 (pow z 2)) |
(*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z)) |
(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(*.f64 (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) (*.f64 z z)) |
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(*.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z))))) |
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(*.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z))))) |
(* 5641895835477563/30000000000000000 (pow z 2)) |
(*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z)) |
(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(*.f64 (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) (*.f64 z z)) |
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(*.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z))))) |
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(*.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z))))) |
5641895835477563/10000000000000000 |
#s(literal 5641895835477563/10000000000000000 binary64) |
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)) |
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) |
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)) |
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) |
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)) |
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) |
(* 5641895835477563/30000000000000000 z) |
(*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(*.f64 z (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(*.f64 z (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(*.f64 z (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))) |
(* 5641895835477563/30000000000000000 z) |
(*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(*.f64 z (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(*.f64 z (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(*.f64 z (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))) |
(* 5641895835477563/5000000000000000 z) |
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) |
(*.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
(* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) |
(*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) |
(*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(* 5641895835477563/30000000000000000 (pow z 3)) |
(*.f64 z (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) |
(* (pow z 3) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(*.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))) |
(* (pow z 3) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(*.f64 (*.f64 z (*.f64 z z)) (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z))))) |
(* (pow z 3) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(*.f64 (*.f64 z (*.f64 z z)) (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z))))) |
(* 5641895835477563/30000000000000000 (pow z 3)) |
(*.f64 z (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) |
(* (pow z 3) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(*.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))) |
(* -1 (* (pow z 3) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) z)) 5641895835477563/30000000000000000))) |
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) (neg.f64 z)) #s(literal -5641895835477563/30000000000000000 binary64)) (neg.f64 (*.f64 z (*.f64 z z)))) |
(* -1 (* (pow z 3) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) z)) 5641895835477563/30000000000000000))) |
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) (neg.f64 z)) #s(literal -5641895835477563/30000000000000000 binary64)) (neg.f64 (*.f64 z (*.f64 z z)))) |
Compiled 29 762 to 2 586 computations (91.3% saved)
20 alts after pruning (13 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 837 | 6 | 843 |
| Fresh | 1 | 7 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 840 | 20 | 860 |
| Status | Accuracy | Program |
|---|---|---|
| 15.8% | (fma.f64 z (fma.f64 z (fma.f64 z (neg.f64 (fma.f64 y #s(literal 2500000000000000/5641895835477563 binary64) (*.f64 y #s(literal -5000000000000000/16925687506432689 binary64)))) (*.f64 y #s(literal 2500000000000000/5641895835477563 binary64))) (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) | |
| 15.6% | (fma.f64 z (fma.f64 z (*.f64 y #s(literal 2500000000000000/5641895835477563 binary64)) (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) | |
| 49.6% | (fma.f64 y (fma.f64 (*.f64 y x) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x) | |
| 54.1% | (fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x) | |
| 15.9% | (fma.f64 y (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) | |
| 49.6% | (fma.f64 y (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) x) | |
| ✓ | 63.2% | (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
| ✓ | 15.9% | (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
| ✓ | 15.9% | (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
| 15.7% | (/.f64 y (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) | |
| 15.7% | (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) | |
| 16.8% | (/.f64 #s(literal -1 binary64) x) | |
| ✓ | 66.9% | (+.f64 (/.f64 #s(literal -1 binary64) x) x) |
| ✓ | 81.6% | (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) |
| 67.2% | (+.f64 x (/.f64 y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) | |
| 16.3% | (*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) | |
| 3.6% | (*.f64 z (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) | |
| 15.9% | (*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) | |
| ✓ | 15.6% | (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
| ✓ | 70.2% | x |
Compiled 590 to 264 computations (55.3% saved)
| Inputs |
|---|
x |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
(*.f64 z (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) |
(*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x) |
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))) |
(+.f64 (/.f64 #s(literal -1 binary64) x) x) |
(fma.f64 y (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) |
(/.f64 y (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 y (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)) |
(fma.f64 y (fma.f64 (*.f64 y x) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x) |
(fma.f64 y (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) x) |
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))) |
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(fma.f64 z (fma.f64 y #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 z (*.f64 y #s(literal 2500000000000000/5641895835477563 binary64)))) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) |
(fma.f64 z (fma.f64 z (*.f64 y #s(literal 2500000000000000/5641895835477563 binary64)) (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(+.f64 x (/.f64 y (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x)))) |
(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(fma.f64 z (fma.f64 z (fma.f64 z (neg.f64 (fma.f64 y #s(literal 2500000000000000/5641895835477563 binary64) (*.f64 y #s(literal -5000000000000000/16925687506432689 binary64)))) (*.f64 y #s(literal 2500000000000000/5641895835477563 binary64))) (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) |
(+.f64 x (/.f64 y (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.f64 x (fma.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (*.f64 y z) (*.f64 (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64)))) (+.f64 x (/.f64 y (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(+.f64 x (/.f64 y (fma.f64 (fma.f64 x (*.f64 y (*.f64 x y)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x) |
(+.f64 x (/.f64 y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
6 calls:
| 13.0ms | z |
| 12.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 11.0ms | x |
| 10.0ms | y |
| 10.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 1 | x |
| 97.2% | 1 | y |
| 99.6% | 2 | z |
| 97.2% | 1 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 99.6% | 2 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 99.6% | 2 | (exp.f64 z) |
Compiled 39 to 29 computations (25.6% saved)
| Inputs |
|---|
x |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
(*.f64 z (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) |
(*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x) |
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))) |
(+.f64 (/.f64 #s(literal -1 binary64) x) x) |
(fma.f64 y (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) |
(/.f64 y (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 y (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)) |
(fma.f64 y (fma.f64 (*.f64 y x) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x) |
(fma.f64 y (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) x) |
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))) |
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(fma.f64 z (fma.f64 y #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 z (*.f64 y #s(literal 2500000000000000/5641895835477563 binary64)))) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) |
(fma.f64 z (fma.f64 z (*.f64 y #s(literal 2500000000000000/5641895835477563 binary64)) (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(+.f64 x (/.f64 y (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x)))) |
(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(fma.f64 z (fma.f64 z (fma.f64 z (neg.f64 (fma.f64 y #s(literal 2500000000000000/5641895835477563 binary64) (*.f64 y #s(literal -5000000000000000/16925687506432689 binary64)))) (*.f64 y #s(literal 2500000000000000/5641895835477563 binary64))) (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) |
(+.f64 x (/.f64 y (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.f64 x (fma.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (/.f64 z (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (*.f64 y z) (*.f64 (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64)))) (+.f64 x (/.f64 y (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(+.f64 x (/.f64 y (fma.f64 (fma.f64 x (*.f64 y (*.f64 x y)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x) |
(+.f64 x (/.f64 y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))) |
x |
6 calls:
| 12.0ms | x |
| 10.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 10.0ms | y |
| 10.0ms | z |
| 10.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.5% | 1 | x |
| 85.5% | 1 | y |
| 95.1% | 4 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 99.5% | 3 | z |
| 99.5% | 3 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 99.5% | 3 | (exp.f64 z) |
Compiled 39 to 29 computations (25.6% saved)
| Inputs |
|---|
x |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
(*.f64 z (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) |
(*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x) |
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))) |
(+.f64 (/.f64 #s(literal -1 binary64) x) x) |
(fma.f64 y (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) |
(/.f64 y (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 y (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)) |
(fma.f64 y (fma.f64 (*.f64 y x) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x) |
(fma.f64 y (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) x) |
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))) |
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(fma.f64 z (fma.f64 y #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 z (*.f64 y #s(literal 2500000000000000/5641895835477563 binary64)))) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) |
(fma.f64 z (fma.f64 z (*.f64 y #s(literal 2500000000000000/5641895835477563 binary64)) (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(+.f64 x (/.f64 y (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x)))) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(+.f64 x (/.f64 y (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x)))) |
x |
3 calls:
| 9.0ms | z |
| 6.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 6.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | z |
| 99.5% | 3 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 99.5% | 3 | (exp.f64 z) |
Compiled 16 to 13 computations (18.8% saved)
| Inputs |
|---|
x |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
(*.f64 z (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) |
(*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x) |
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))) |
(+.f64 (/.f64 #s(literal -1 binary64) x) x) |
(fma.f64 y (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) |
(/.f64 y (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 y (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)) |
(fma.f64 y (fma.f64 (*.f64 y x) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x) |
(fma.f64 y (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) x) |
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))) |
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(fma.f64 z (fma.f64 y #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 z (*.f64 y #s(literal 2500000000000000/5641895835477563 binary64)))) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) |
(fma.f64 z (fma.f64 z (*.f64 y #s(literal 2500000000000000/5641895835477563 binary64)) (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) |
x |
3 calls:
| 9.0ms | z |
| 6.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 6.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 3 | z |
| 99.3% | 3 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 99.3% | 3 | (exp.f64 z) |
Compiled 16 to 13 computations (18.8% saved)
| Inputs |
|---|
x |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
(*.f64 z (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) |
(*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x) |
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))) |
(+.f64 (/.f64 #s(literal -1 binary64) x) x) |
(fma.f64 y (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) |
(/.f64 y (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 y (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)) |
(fma.f64 y (fma.f64 (*.f64 y x) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x) |
(fma.f64 y (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) x) |
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))) |
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(+.f64 x (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(fma.f64 z (fma.f64 y #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 z (*.f64 y #s(literal 2500000000000000/5641895835477563 binary64)))) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) |
(fma.f64 z (fma.f64 z (*.f64 y #s(literal 2500000000000000/5641895835477563 binary64)) (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) |
x |
3 calls:
| 7.0ms | z |
| 5.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 5.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 3 | z |
| 99.1% | 3 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 99.1% | 3 | (exp.f64 z) |
Compiled 16 to 13 computations (18.8% saved)
| Inputs |
|---|
x |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
(*.f64 z (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) |
(*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x) |
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))) |
(+.f64 (/.f64 #s(literal -1 binary64) x) x) |
(fma.f64 y (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) |
(/.f64 y (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 y (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x)) |
(fma.f64 y (fma.f64 (*.f64 y x) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x) |
(fma.f64 y (*.f64 #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64) (fma.f64 y (neg.f64 x) #s(literal -5641895835477563/5000000000000000 binary64))) x) |
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))) |
(+.f64 x (/.f64 y (*.f64 y (neg.f64 x)))) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))) |
x |
6 calls:
| 7.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 6.0ms | x |
| 6.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 6.0ms | y |
| 5.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.1% | 3 | y |
| 77.9% | 3 | x |
| 85.7% | 3 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 88.4% | 3 | z |
| 87.9% | 3 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 87.9% | 3 | (exp.f64 z) |
Compiled 39 to 29 computations (25.6% saved)
| Inputs |
|---|
x |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
(*.f64 z (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) |
(*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x) |
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
x |
1 calls:
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.3% | 3 | z |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
x |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
(*.f64 z (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) |
(*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64)) x) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) x) |
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
x |
5 calls:
| 20.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 3.0ms | y |
| 3.0ms | z |
| 2.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 2.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.4% | 3 | y |
| 70.2% | 1 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 77.7% | 3 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 77.7% | 3 | (exp.f64 z) |
| 78.1% | 3 | z |
Compiled 35 to 26 computations (25.7% saved)
| Inputs |
|---|
x |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
(*.f64 z (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) |
(*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) |
| Outputs |
|---|
x |
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
x |
2 calls:
| 2.0ms | z |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.9% | 3 | x |
| 76.5% | 3 | z |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
x |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
| Outputs |
|---|
x |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
x |
5 calls:
| 2.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 1.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.2% | 1 | z |
| 70.2% | 1 | y |
| 70.2% | 1 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 70.2% | 1 | (exp.f64 z) |
| 74.9% | 3 | x |
Compiled 24 to 19 computations (20.8% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
x |
| Outputs |
|---|
x |
2 calls:
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.2% | 1 | y |
| 70.2% | 1 | x |
Compiled 8 to 6 computations (25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 3.497256902779763e-31 |
Compiled 18 to 16 computations (11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.000000156686535 | 1.031709772756125 |
| 0.0ms | 3.935927185483805e-20 | 0.0045002754676012465 |
Compiled 18 to 16 computations (11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.000000156686535 | 1.031709772756125 |
| 0.0ms | 0.0 | 3.497256902779763e-31 |
Compiled 18 to 16 computations (11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.000000156686535 | 1.031709772756125 |
| 0.0ms | 3.935927185483805e-20 | 0.0045002754676012465 |
Compiled 18 to 16 computations (11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.000000156686535 | 1.031709772756125 |
| 0.0ms | 0.0 | 3.497256902779763e-31 |
Compiled 18 to 16 computations (11.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 1.7274296878753607e-23 | 8.16825265949102e-23 |
| 12.0ms | -1.5381471022861062e-89 | -1.9163922745364164e-91 |
| 25.0ms | 208× | 0 | valid |
Compiled 228 to 180 computations (21.1% saved)
ival-exp: 11.0ms (55.5% of total)const: 3.0ms (15.1% of total)ival-mult: 2.0ms (10.1% of total)ival-sub: 1.0ms (5% of total)ival-div: 1.0ms (5% of total)ival-add: 1.0ms (5% 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 |
|---|---|---|
| 15.0ms | 1.7274296878753607e-23 | 8.16825265949102e-23 |
| 12.0ms | -1.5381471022861062e-89 | -1.9163922745364164e-91 |
| 16.0ms | 208× | 0 | valid |
Compiled 215 to 167 computations (22.3% saved)
const: 3.0ms (28% of total)ival-exp: 2.0ms (18.6% of total)ival-mult: 2.0ms (18.6% of total)ival-sub: 1.0ms (9.3% of total)ival-div: 1.0ms (9.3% of total)ival-add: 1.0ms (9.3% 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 |
|---|---|---|
| 11.0ms | 1.7274296878753607e-23 | 8.16825265949102e-23 |
| 14.0ms | -2.150815491176993e+45 | -1.37353018688999e+44 |
| 18.0ms | 192× | 0 | valid |
Compiled 186 to 148 computations (20.4% saved)
ival-mult: 5.0ms (37.9% of total)const: 3.0ms (22.8% of total)ival-exp: 2.0ms (15.2% of total)ival-sub: 1.0ms (7.6% of total)ival-div: 1.0ms (7.6% of total)ival-add: 1.0ms (7.6% 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 |
|---|---|---|
| 23.0ms | 2.6079145020045713e-27 | 8.120270437428391e-25 |
| 176.0ms | -1.6102956006232867e-65 | -6.336669171584676e-67 |
| 191.0ms | 240× | 0 | valid |
Compiled 213 to 166 computations (22.1% saved)
ival-mult: 166.0ms (94.5% of total)const: 4.0ms (2.3% of total)ival-div: 2.0ms (1.1% of total)ival-exp: 2.0ms (1.1% of total)ival-sub: 1.0ms (0.6% of total)ival-add: 1.0ms (0.6% 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 |
|---|---|---|
| 15.0ms | 1.3782616112787069e-183 | 3.0813148492434913e-179 |
| 22.0ms | -3.4966468227897174e-139 | -1.432800189623336e-152 |
| 24.0ms | 288× | 0 | valid |
Compiled 234 to 196 computations (16.2% saved)
const: 5.0ms (31.1% of total)ival-mult: 4.0ms (24.9% of total)ival-div: 2.0ms (12.4% of total)ival-exp: 2.0ms (12.4% of total)ival-sub: 1.0ms (6.2% of total)ival-add: 1.0ms (6.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 24× | +-commutative_binary64 |
| 12× | *-commutative_binary64 |
| 10× | sub-neg_binary64 |
| 8× | cancel-sign-sub-inv_binary64 |
| 6× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 221 |
| 1 | 109 | 221 |
| 2 | 121 | 221 |
| 3 | 126 | 221 |
| 4 | 128 | 221 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))) |
(if (<=.f64 (exp.f64 z) #s(literal 2076918743413931/41538374868278621028243970633760768 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2296835809958953/2251799813685248 binary64)) (+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))) x)) |
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2296835809958953/2251799813685248 binary64)) (+.f64 x (/.f64 y (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x)))) x)) |
(if (<=.f64 (exp.f64 z) #s(literal 2076918743413931/41538374868278621028243970633760768 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2296835809958953/2251799813685248 binary64)) (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) x)) |
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2296835809958953/2251799813685248 binary64)) (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) x)) |
(if (<=.f64 z #s(literal -272352960648821/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 3147611894018681/42535295865117307932921825928971026432 binary64)) (+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))) x)) |
(if (<=.f64 z #s(literal -8313932482964009/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 6805647338418769/85070591730234615865843651857942052864 binary64)) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) x)) |
(if (<=.f64 z #s(literal -1199999999999999947400011835148396501334491136 binary64)) (/.f64 #s(literal -1 binary64) x) (if (<=.f64 z #s(literal 6805647338418769/85070591730234615865843651857942052864 binary64)) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) x)) |
(if (<=.f64 x #s(literal -6829695324231079/7588550360256754183279148073529370729071901715047420004889892225542594864082845696 binary64)) x (if (<=.f64 x #s(literal 3832940580997451/1393796574908163946345982392040522594123776 binary64)) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) x)) |
(if (<=.f64 x #s(literal -7547924849643083/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) x (if (<=.f64 x #s(literal 4425260803084025/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488 binary64)) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) x)) |
x |
| Outputs |
|---|
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))) |
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))) |
(if (<=.f64 (exp.f64 z) #s(literal 2076918743413931/41538374868278621028243970633760768 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2296835809958953/2251799813685248 binary64)) (+.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))))) x)) |
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2296835809958953/2251799813685248 binary64)) (+.f64 x (/.f64 y (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x)))) x)) |
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2296835809958953/2251799813685248 binary64)) (+.f64 x (/.f64 y (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) x)) |
(if (<=.f64 (exp.f64 z) #s(literal 2076918743413931/41538374868278621028243970633760768 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2296835809958953/2251799813685248 binary64)) (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) x)) |
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2296835809958953/2251799813685248 binary64)) (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) x)) |
(if (<=.f64 z #s(literal -272352960648821/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 3147611894018681/42535295865117307932921825928971026432 binary64)) (+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))) x)) |
(if (<=.f64 z #s(literal -8313932482964009/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 6805647338418769/85070591730234615865843651857942052864 binary64)) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) x)) |
(if (<=.f64 z #s(literal -1199999999999999947400011835148396501334491136 binary64)) (/.f64 #s(literal -1 binary64) x) (if (<=.f64 z #s(literal 6805647338418769/85070591730234615865843651857942052864 binary64)) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) x)) |
(if (<=.f64 x #s(literal -6829695324231079/7588550360256754183279148073529370729071901715047420004889892225542594864082845696 binary64)) x (if (<=.f64 x #s(literal 3832940580997451/1393796574908163946345982392040522594123776 binary64)) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) x)) |
(if (<=.f64 x #s(literal -7547924849643083/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) x (if (<=.f64 x #s(literal 4425260803084025/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488 binary64)) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) x)) |
x |
| 8 820× | accelerator-lowering-fma.f32 |
| 8 820× | accelerator-lowering-fma.f64 |
| 8 530× | accelerator-lowering-fma.f32 |
| 8 530× | accelerator-lowering-fma.f64 |
| 6 074× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 924 | 7726 |
| 1 | 2974 | 7591 |
| 0 | 8333 | 6801 |
| 0 | 303 | 1957 |
| 1 | 865 | 1937 |
| 2 | 2563 | 1849 |
| 0 | 8206 | 1764 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 498 to 271 computations (45.6% saved)
Compiled 508 to 202 computations (60.2% saved)
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