
Time bar (total: 4.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 9 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 10 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 11 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 488.0ms | 8 256× | 0 | valid |
ival-mult: 133.0ms (46.9% of total)ival-div: 102.0ms (36% of total)ival-add: 39.0ms (13.8% of total)ival-true: 6.0ms (2.1% of total)ival-assert: 4.0ms (1.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 33 | 1 | (-8.756224700629738e+265 3.5292702082584438e-224 4.6446296084060736e-125) | 2 | (-6.773508524086443e+105 2.1442762813025693e-158 -3.647992065068485e-206) | (/.f64 (*.f64 y y) z) |
| 0 | 0 | - | 0 | - | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 y y) z) | o/n | 15 | 0 |
| ↳ | (*.f64 y y) | overflow | 51 | |
/.f64 | (/.f64 (*.f64 y y) z) | u/n | 6 | 0 |
| ↳ | (*.f64 y y) | underflow | 65 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 20 | 1 |
| - | 1 | 234 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 20 | 0 | 1 |
| - | 1 | 0 | 234 |
| number | freq |
|---|---|
| 0 | 235 |
| 1 | 21 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 27.0ms | 512× | 0 | valid |
Compiled 65 to 28 computations (56.9% saved)
ival-mult: 4.0ms (38% of total)ival-div: 3.0ms (28.5% of total)ival-add: 2.0ms (19% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 68 |
| 1 | 88 | 64 |
| 2 | 271 | 64 |
| 3 | 1100 | 64 |
| 4 | 3356 | 64 |
| 5 | 4517 | 64 |
| 6 | 5038 | 64 |
| 7 | 5667 | 64 |
| 8 | 5914 | 64 |
| 9 | 6237 | 64 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 17 | 7 |
| 2 | 42 | 7 |
| 3 | 149 | 7 |
| 4 | 528 | 7 |
| 5 | 939 | 7 |
| 6 | 1673 | 7 |
| 7 | 4023 | 7 |
| 8 | 4886 | 7 |
| 9 | 5831 | 7 |
| 10 | 6243 | 7 |
| 11 | 6605 | 7 |
| 12 | 7184 | 7 |
| 13 | 7448 | 7 |
| 0 | 8015 | 6 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (/.f64 (*.f64 y y) z)) |
| Outputs |
|---|
(+.f64 x (/.f64 (*.f64 y y) z)) |
(fma.f64 (/.f64 y z) y x) |
(abs y)
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 92.9% | (+.f64 x (/.f64 (*.f64 y y) z)) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 (*.f64 y y) z) | |
| cost-diff | 128 | (+.f64 x (/.f64 (*.f64 y y) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 9 | 18 |
| 1 | 17 | 18 |
| 2 | 42 | 18 |
| 3 | 149 | 18 |
| 4 | 528 | 18 |
| 5 | 939 | 18 |
| 6 | 1673 | 18 |
| 7 | 4023 | 18 |
| 8 | 4886 | 18 |
| 9 | 5831 | 18 |
| 10 | 6243 | 18 |
| 11 | 6605 | 18 |
| 12 | 7184 | 18 |
| 13 | 7448 | 18 |
| 0 | 8015 | 17 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (*.f64 y y) z)) |
x |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
| Outputs |
|---|
(+.f64 x (/.f64 (*.f64 y y) z)) |
(fma.f64 (/.f64 y z) y x) |
x |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.00390625 | (+.f64 x (/.f64 (*.f64 y y) z)) | |
| accuracy | 7.5087757225542475 | (/.f64 (*.f64 y y) z) |
| 13.0ms | 256× | 0 | valid |
Compiled 38 to 14 computations (63.2% saved)
ival-div: 3.0ms (48.8% of total)ival-mult: 2.0ms (32.5% of total)ival-add: 1.0ms (16.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 x (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
| Outputs |
|---|
(/ (pow y 2) z) |
(+ x (/ (pow y 2) z)) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(pow y 2) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(/ (+ (* x z) (pow y 2)) z) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | ((+ x (/ (* y y) z)) (/ (* y y) z) (* y y)) |
| 1.0ms | y | @ | 0 | ((+ x (/ (* y y) z)) (/ (* y y) z) (* y y)) |
| 1.0ms | y | @ | -inf | ((+ x (/ (* y y) z)) (/ (* y y) z) (* y y)) |
| 1.0ms | z | @ | -inf | ((+ x (/ (* y y) z)) (/ (* y y) z) (* y y)) |
| 1.0ms | z | @ | 0 | ((+ x (/ (* y y) z)) (/ (* y y) z) (* y y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 44 |
| 1 | 61 | 44 |
| 2 | 180 | 44 |
| 3 | 756 | 44 |
| 4 | 2674 | 44 |
| 5 | 5682 | 44 |
| 0 | 8103 | 39 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow y 2) z) |
(+ x (/ (pow y 2) z)) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(pow y 2) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(/ (+ (* x z) (pow y 2)) z) |
| Outputs |
|---|
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(+ x (/ (pow y 2) z)) |
(fma.f64 (/.f64 y z) y x) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(fma.f64 (/.f64 y z) y x) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(fma.f64 (/.f64 y z) y x) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(fma.f64 (/.f64 y z) y x) |
(/ (+ (* x z) (pow y 2)) z) |
(fma.f64 (/.f64 y z) y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 40 | 15 |
| 2 | 318 | 15 |
| 3 | 5411 | 15 |
| 0 | 8752 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (/.f64 y z) y x))) #s(literal 2 binary64))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (/.f64 y z) y x)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y z) y) (fma.f64 (/.f64 y z) y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 (/.f64 y z) y) (fma.f64 (/.f64 y z) y x)) (-.f64 (*.f64 (*.f64 (/.f64 y z) y) (fma.f64 (/.f64 y z) y x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))) (fma.f64 (/.f64 y z) y (neg.f64 x))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 y z) y x))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (/.f64 y z) y x))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal 2 binary64))) (fma.f64 (/.f64 y z) y x)) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (/.f64 y z) y x)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 y z) y x) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 (/.f64 y z) y x) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (/.f64 y z) y x))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 (/.f64 y z) y (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (/.f64 y z) y x))) #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fma.f64 (/.f64 y z) y x)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (/.f64 y z) y x)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (/.f64 y z) y x) (/.f64 (fma.f64 (/.f64 y z) y x) (fma.f64 (/.f64 y z) y x))) |
(*.f64 (fma.f64 (/.f64 y z) y x) (*.f64 (fma.f64 (/.f64 y z) y x) (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x)) |
(*.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (/.f64 y z) y x))) (/.f64 (fma.f64 (/.f64 y z) y x) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (/.f64 y z) y x))))) |
(*.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (/.f64 y z) y x))) (*.f64 (fma.f64 (/.f64 y z) y x) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (/.f64 y z) y x))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (/.f64 y z) y x))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 y z) y (neg.f64 x)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal 1 binary64)) |
(/.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64))) |
(/.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (/.f64 y z) y x))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -6 binary64))) (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (/.f64 y z) y x))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -6 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (/.f64 y z) y x))) #s(literal -1 binary64))) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 z #s(literal -9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (/.f64 y z) y x))) #s(literal -1 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -6 binary64))) (pow.f64 (*.f64 (/.f64 x (/.f64 z y)) y) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (/.f64 y z) y x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 y z) y x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 y z) y x)) #s(literal 2 binary64))) (fma.f64 (/.f64 y z) y x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (/.f64 y z) y x)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (/.f64 y z) y x)))) #s(literal 2 binary64))) (fma.f64 (/.f64 y z) y x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 y z) y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 y z) y x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 y z) y x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 y z) y x)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 y z) y x)) (/.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 y z) y x)))))) |
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(fma.f64 y (*.f64 (/.f64 y z) #s(literal 1 binary64)) x) |
(fma.f64 y (/.f64 y z) x) |
(fma.f64 x (/.f64 x (fma.f64 (/.f64 y z) y x)) (neg.f64 (/.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 y z) y x)))) |
(fma.f64 x (/.f64 x (fma.f64 (/.f64 y z) y x)) (/.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 y z) y x))) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (/.f64 y z) y x)))) (/.f64 (*.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (/.f64 y z) y x))))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 y z) y)) |
(-.f64 (/.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 y z) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (/.f64 y z) y (neg.f64 x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (/.f64 y z) y x)))) (/.f64 (*.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (/.f64 y z) y x))))) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 y z) y x)) (/.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 y z) y x))) |
(-.f64 x (*.f64 (/.f64 y z) y)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (*.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (/.f64 y z) y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (/.f64 y z) y x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (/.f64 y z) y x)))) (/.f64 (*.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (/.f64 y z) y x))))) |
(+.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 y z) y x)) (neg.f64 (/.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 y z) y x)))) |
(+.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 y z) y x)) (/.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 y z) y x))) |
(+.f64 (*.f64 (/.f64 y z) y) x) |
(+.f64 x (*.f64 (/.f64 y z) y)) |
(*.f64 (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 y z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 y z) (*.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 y z) y) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) y)) |
(*.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))) |
(*.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 y z) y) #s(literal 1 binary64)) |
(*.f64 y (*.f64 (/.f64 y z) #s(literal 1 binary64))) |
(*.f64 y (/.f64 y z)) |
(pow.f64 (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 z (*.f64 y y)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 y z) y) #s(literal 1 binary64)) |
(/.f64 (/.f64 (*.f64 y y) #s(literal -1 binary64)) z) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 z y)) |
(/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 y y))) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))) |
(/.f64 (*.f64 y y) (neg.f64 z)) |
(/.f64 (*.f64 y y) z) |
(/.f64 (*.f64 (/.f64 y z) y) #s(literal 1 binary64)) |
(/.f64 y (/.f64 z y)) |
(neg.f64 (*.f64 (/.f64 y z) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (/.f64 y z) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) z) (*.f64 (/.f64 y z) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y z) y)) |
(exp.f64 (fma.f64 (log.f64 z) #s(literal -1 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 z) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 z (*.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y z) y)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 y y))) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 z (*.f64 y y))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 z (*.f64 y y))) #s(literal -1 binary64)))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 #s(literal -1 binary64) (*.f64 y y)) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal -1 binary64)) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y (*.f64 y #s(literal 1 binary64))) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 y y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) |
(neg.f64 (*.f64 y y)) |
(sqrt.f64 (pow.f64 y #s(literal 4 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 y y)) |
(fabs.f64 (-.f64 (*.f64 y y) #s(literal 0 binary64))) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (+.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(exp.f64 (+.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal 1 binary64) (*.f64 (log.f64 y) #s(literal 1 binary64)))) |
(exp.f64 (/.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 y))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(+.f64 #s(literal 0 binary64) (*.f64 y y)) |
Compiled 4 170 to 518 computations (87.6% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 184 | 6 | 190 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 185 | 6 | 191 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 92.8% | (fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x) |
| ▶ | 99.9% | (fma.f64 (/.f64 y z) y x) |
| ▶ | 92.6% | (+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) z)) |
| ▶ | 99.8% | (+.f64 x (/.f64 y (/.f64 z y))) |
| 44.8% | (*.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64))) | |
| ▶ | 44.8% | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
Compiled 120 to 92 computations (23.3% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 y #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) z) | |
| cost-diff | 384 | (+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) z)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (pow.f64 z #s(literal -1 binary64)) | |
| cost-diff | 6080 | (fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 128 | (+.f64 x (/.f64 y (/.f64 z y))) | |
| cost-diff | 384 | (/.f64 y (/.f64 z y)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 (*.f64 y y) z) | |
| cost-diff | 0 | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (fma.f64 (/.f64 y z) y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 100 |
| 0 | 38 | 96 |
| 1 | 56 | 96 |
| 2 | 108 | 96 |
| 3 | 303 | 96 |
| 4 | 790 | 96 |
| 5 | 1216 | 96 |
| 6 | 2013 | 96 |
| 7 | 3400 | 96 |
| 8 | 4654 | 96 |
| 9 | 6436 | 96 |
| 0 | 8006 | 96 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 y z) y x) |
(/.f64 y z) |
y |
z |
x |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
(+.f64 x (/.f64 y (/.f64 z y))) |
x |
(/.f64 y (/.f64 z y)) |
y |
(/.f64 z y) |
z |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x) |
(pow.f64 z #s(literal -1 binary64)) |
z |
#s(literal -1 binary64) |
(*.f64 y y) |
y |
x |
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) z)) |
x |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 y #s(literal -2 binary64)) |
y |
#s(literal -2 binary64) |
z |
| Outputs |
|---|
(fma.f64 (/.f64 y z) y x) |
(/.f64 y z) |
y |
z |
x |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
(/.f64 (*.f64 y y) z) |
(*.f64 (/.f64 y z) y) |
(*.f64 y y) |
y |
z |
(+.f64 x (/.f64 y (/.f64 z y))) |
(fma.f64 (/.f64 y z) y x) |
x |
(/.f64 y (/.f64 z y)) |
(*.f64 (/.f64 y z) y) |
y |
(/.f64 z y) |
z |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x) |
(fma.f64 (/.f64 y z) y x) |
(pow.f64 z #s(literal -1 binary64)) |
z |
#s(literal -1 binary64) |
(*.f64 y y) |
y |
x |
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) z)) |
(-.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) z))) |
x |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 y #s(literal -2 binary64)) |
y |
#s(literal -2 binary64) |
z |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (pow.f64 y #s(literal -2 binary64)) | |
| accuracy | 0.00390625 | (+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) z)) | |
| accuracy | 0.4872392114107572 | (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) | |
| accuracy | 7.5087757225542475 | (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) z) | |
| accuracy | 0 | (pow.f64 z #s(literal -1 binary64)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 4.613318130589884 | (fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x) | |
| accuracy | 0 | (/.f64 z y) | |
| accuracy | 0.00390625 | (+.f64 x (/.f64 y (/.f64 z y))) | |
| accuracy | 0.15234375 | (/.f64 y (/.f64 z y)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 7.5087757225542475 | (/.f64 (*.f64 y y) z) | |
| accuracy | 31.897083600784576 | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 0.0703125 | (fma.f64 (/.f64 y z) y x) |
| 131.0ms | 256× | 0 | valid |
Compiled 198 to 47 computations (76.3% saved)
ival-div: 10.0ms (36.1% of total)ival-pow: 7.0ms (25.3% of total)ival-add: 6.0ms (21.7% of total)ival-mult: 5.0ms (18.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 y z) y x) |
(/.f64 y z) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
(/.f64 y (/.f64 z y)) |
(+.f64 x (/.f64 y (/.f64 z y))) |
(/.f64 z y) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x) |
(pow.f64 z #s(literal -1 binary64)) |
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) z)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) |
(pow.f64 y #s(literal -2 binary64)) |
| Outputs |
|---|
(/ (pow y 2) z) |
(+ x (/ (pow y 2) z)) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(/ y z) |
(pow y 2) |
(/ z y) |
(/ 1 (pow y 2)) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(/ (+ (* x z) (pow y 2)) z) |
(/ 1 z) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | ((+ (* (/ y z) y) x) (/ y z) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (/ y (/ z y)) (+ x (/ y (/ z y))) (/ z y) (+ (* (pow z -1) (* y y)) x) (pow z -1) (+ x (/ (/ 1 (pow y -2)) z)) (/ (/ 1 (pow y -2)) z) (/ 1 (pow y -2)) (pow y -2)) |
| 1.0ms | z | @ | -inf | ((+ (* (/ y z) y) x) (/ y z) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (/ y (/ z y)) (+ x (/ y (/ z y))) (/ z y) (+ (* (pow z -1) (* y y)) x) (pow z -1) (+ x (/ (/ 1 (pow y -2)) z)) (/ (/ 1 (pow y -2)) z) (/ 1 (pow y -2)) (pow y -2)) |
| 1.0ms | y | @ | -inf | ((+ (* (/ y z) y) x) (/ y z) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (/ y (/ z y)) (+ x (/ y (/ z y))) (/ z y) (+ (* (pow z -1) (* y y)) x) (pow z -1) (+ x (/ (/ 1 (pow y -2)) z)) (/ (/ 1 (pow y -2)) z) (/ 1 (pow y -2)) (pow y -2)) |
| 1.0ms | z | @ | 0 | ((+ (* (/ y z) y) x) (/ y z) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (/ y (/ z y)) (+ x (/ y (/ z y))) (/ z y) (+ (* (pow z -1) (* y y)) x) (pow z -1) (+ x (/ (/ 1 (pow y -2)) z)) (/ (/ 1 (pow y -2)) z) (/ 1 (pow y -2)) (pow y -2)) |
| 1.0ms | y | @ | 0 | ((+ (* (/ y z) y) x) (/ y z) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (/ y (/ z y)) (+ x (/ y (/ z y))) (/ z y) (+ (* (pow z -1) (* y y)) x) (pow z -1) (+ x (/ (/ 1 (pow y -2)) z)) (/ (/ 1 (pow y -2)) z) (/ 1 (pow y -2)) (pow y -2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 58 |
| 1 | 64 | 58 |
| 2 | 182 | 58 |
| 3 | 758 | 58 |
| 4 | 2703 | 58 |
| 5 | 5711 | 58 |
| 0 | 8124 | 53 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow y 2) z) |
(+ x (/ (pow y 2) z)) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(/ y z) |
(pow y 2) |
(/ z y) |
(/ 1 (pow y 2)) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(/ (+ (* x z) (pow y 2)) z) |
(/ 1 z) |
| Outputs |
|---|
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(+ x (/ (pow y 2) z)) |
(fma.f64 (/.f64 y z) y x) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(fma.f64 (/.f64 y z) y x) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(fma.f64 (/.f64 y z) y x) |
(/ y z) |
(/.f64 y z) |
(pow y 2) |
(*.f64 y y) |
(/ z y) |
(/.f64 z y) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(fma.f64 (/.f64 y z) y x) |
(/ (+ (* x z) (pow y 2)) z) |
(fma.f64 (/.f64 y z) y x) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 80 |
| 0 | 38 | 69 |
| 1 | 163 | 69 |
| 2 | 881 | 69 |
| 0 | 8372 | 69 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 y z) y x) |
(/.f64 y z) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
(/.f64 y (/.f64 z y)) |
(+.f64 x (/.f64 y (/.f64 z y))) |
(/.f64 z y) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x) |
(pow.f64 z #s(literal -1 binary64)) |
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) z)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) |
(pow.f64 y #s(literal -2 binary64)) |
| Outputs |
|---|
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (*.f64 (/.f64 y z) y))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (/.f64 y z) y) x)))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 y z) y))))))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (*.f64 (/.f64 y z) y)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 (-.f64 (*.f64 (/.f64 y z) y) x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 y z) y)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 y z) y))) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 y z) y)))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 y z) y))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 y z) y))))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 y z) y))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 y z) y))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y z) y) x)) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y z) y) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y z) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y z) y) x)))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y z) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y z) y) x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 (neg.f64 y) z) y) (*.f64 (/.f64 (neg.f64 y) z) y))) (-.f64 x (*.f64 (/.f64 y z) y))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))))) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 y z) y))))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 y z) y)))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 y z) y))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 y z) y))))))) (-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 y z) y))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 y z) y))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 y z) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 y z) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 y z) y))) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 y z) y))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 y z) y))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 y z) y))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 y z) y))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 y z) y))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y z) y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y z) y) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y z) y) x)) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y z) y) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y z) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y z) y) x)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y z) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y z) y) x)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 (neg.f64 y) z)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (*.f64 y (/.f64 (neg.f64 y) z)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (/.f64 (neg.f64 y) z) y) (*.f64 (/.f64 (neg.f64 y) z) y) (*.f64 x (*.f64 (/.f64 (neg.f64 y) z) y))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 y z) y))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 y z) y))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 y z) y))))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 y z) y))))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 y z) y))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 y z) y)))))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 y z) y))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 y z) y))))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (*.f64 (/.f64 y z) y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 y z) y) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 y z) y))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 y z) y))) (*.f64 (-.f64 x (*.f64 (/.f64 y z) y)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)))) (*.f64 (-.f64 x (*.f64 (/.f64 y z) y)) (-.f64 x (*.f64 (/.f64 y z) y)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y z) y) x)) (*.f64 (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (/.f64 y z) y) x) (-.f64 (*.f64 (/.f64 y z) y) x))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x)) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 y z) y)))) (*.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 y z) y)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 y z) y)))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 y z) y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (/.f64 y z) y)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (*.f64 (/.f64 y z) y) x))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 y z) y)))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 y z) y))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 (/.f64 y z) y) x)) |
(/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 y z) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x)))) |
(fma.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (neg.f64 y)) (*.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (neg.f64 y)) x) |
(fma.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) y) (*.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) y) x) |
(fma.f64 (*.f64 (neg.f64 y) (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) (*.f64 (neg.f64 y) (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) x) |
(fma.f64 (*.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) (*.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) x) |
(fma.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) z) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) z) #s(literal -1/2 binary64)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 (pow.f64 y #s(literal -1 binary64)))) x) |
(fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) y) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (neg.f64 y) z) x) |
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(*.f64 (fabs.f64 (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1/2 binary64)))) (fabs.f64 (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1/2 binary64))))) |
(*.f64 (fabs.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))) (fabs.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 (*.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) y)) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) y)) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 (*.f64 y y) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 y)) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 y)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 y))) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) |
(*.f64 (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1/2 binary64))) (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (neg.f64 (pow.f64 y #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (fabs.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y y)))) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y y))) |
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) y)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) z)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (neg.f64 (pow.f64 y #s(literal -2 binary64)))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) z))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (neg.f64 y) z))) |
(*.f64 (*.f64 (/.f64 y z) y) #s(literal 1 binary64)) |
(*.f64 (*.f64 y y) (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 y z) y) |
(*.f64 y (/.f64 y z)) |
(pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) z) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) z)) (pow.f64 y #s(literal -2 binary64))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 y #s(literal -2 binary64))) |
(/.f64 (fabs.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 y #s(literal -2 binary64))) |
(/.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(/.f64 (/.f64 (neg.f64 y) z) (neg.f64 (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 z)) |
(/.f64 (neg.f64 y) (/.f64 (neg.f64 z) y)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) z)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 z (neg.f64 (pow.f64 y #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) z))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) z)))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 z (neg.f64 (pow.f64 y #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) z))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) z)) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) z))) |
(/.f64 #s(literal -1 binary64) (*.f64 z (neg.f64 (pow.f64 y #s(literal -2 binary64))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) z)) |
(/.f64 (*.f64 (/.f64 y z) y) #s(literal 1 binary64)) |
(/.f64 (*.f64 y y) (fabs.f64 (neg.f64 z))) |
(/.f64 (*.f64 y y) (fabs.f64 z)) |
(/.f64 (*.f64 y y) z) |
(/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 y (fabs.f64 (/.f64 (neg.f64 z) y))) |
(/.f64 y (fabs.f64 (/.f64 z y))) |
(/.f64 y (/.f64 z y)) |
(neg.f64 (*.f64 y (/.f64 (neg.f64 y) z))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (*.f64 y (/.f64 (neg.f64 y) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 y (/.f64 (neg.f64 y) z))) |
(-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 (neg.f64 y) z))) |
(fabs.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (neg.f64 y) y))) |
(fabs.f64 (*.f64 y (/.f64 (neg.f64 y) z))) |
(fabs.f64 (*.f64 (/.f64 y z) y)) |
(exp.f64 (fma.f64 (log.f64 z) #s(literal -1 binary64) (neg.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))))) |
(exp.f64 (fma.f64 (log.f64 z) #s(literal -1 binary64) (*.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 z) #s(literal -1 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (log.f64 y) #s(literal -2 binary64)) (neg.f64 (log.f64 z)))) |
(exp.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)) #s(literal -1 binary64) (neg.f64 (log.f64 z)))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (neg.f64 (log.f64 z)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) z)) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (*.f64 (/.f64 y z) y))) |
(+.f64 (/.f64 (cosh.f64 (neg.f64 (log.f64 z))) (pow.f64 y #s(literal -2 binary64))) (/.f64 (sinh.f64 (neg.f64 (log.f64 z))) (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y)) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
(pow.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(/.f64 (neg.f64 y) (neg.f64 (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(/.f64 (*.f64 y y) #s(literal 1 binary64)) |
(/.f64 y (pow.f64 y #s(literal -1 binary64))) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(sqrt.f64 (pow.f64 y #s(literal 4 binary64))) |
(-.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) |
(fabs.f64 (-.f64 (*.f64 y y) #s(literal 0 binary64))) |
(fabs.f64 (*.f64 (neg.f64 y) y)) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)) #s(literal -1 binary64))) (sinh.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)) #s(literal -1 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) (sinh.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) (neg.f64 (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 y)) |
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 y y) #s(literal -1 binary64)) |
(pow.f64 y #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) (cosh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))))) (*.f64 y y)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) (cosh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))))))) |
(/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) (neg.f64 y)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) y) |
(/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) |
(/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y)) |
(neg.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(sqrt.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 (pow.f64 y #s(literal -2 binary64))))) |
(sqrt.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 y #s(literal -2 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(fabs.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 0 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(fabs.f64 (pow.f64 y #s(literal -2 binary64))) |
(exp.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))))) |
(exp.f64 (neg.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)) #s(literal -1 binary64)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (*.f64 (log.f64 y) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) |
(+.f64 (/.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)))) |
Compiled 8 776 to 1 307 computations (85.1% saved)
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 480 | 5 | 485 |
| Fresh | 1 | 0 | 1 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 484 | 7 | 491 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (/.f64 y z) y x) |
| ▶ | 92.8% | (fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x) |
| ▶ | 99.8% | (+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))) |
| ▶ | 50.0% | #s(approx (+ x (/ (* y y) z)) (/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64)))) |
| ✓ | 44.8% | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
| ▶ | 50.0% | #s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) |
| ▶ | 50.1% | #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
Compiled 137 to 104 computations (24.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 y #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | #s(approx (+ x (/ (* y y) z)) (/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64)))) | |
| cost-diff | 6848 | (/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) z) | |
| cost-diff | 320 | (fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | #s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) | |
| cost-diff | 384 | (/.f64 y (/.f64 z y)) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (*.f64 (/.f64 y z) y) | |
| cost-diff | 0 | #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 128 | (+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))) | |
| cost-diff | 384 | (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))) | |
| cost-diff | 448 | (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 128 |
| 0 | 40 | 138 |
| 1 | 69 | 130 |
| 2 | 158 | 114 |
| 3 | 433 | 114 |
| 4 | 1335 | 114 |
| 5 | 2537 | 114 |
| 6 | 3185 | 114 |
| 7 | 4987 | 114 |
| 8 | 6369 | 114 |
| 9 | 7653 | 114 |
| 0 | 8079 | 109 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))) |
x |
(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))) |
y |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
(neg.f64 z) |
z |
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 y z) y) |
(/.f64 y z) |
y |
z |
#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) |
(/.f64 y (/.f64 z y)) |
y |
(/.f64 z y) |
z |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(*.f64 y y) |
y |
x |
#s(approx (+ x (/ (* y y) z)) (/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 y z) |
y |
z |
(pow.f64 y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))) |
(fma.f64 (/.f64 y z) y x) |
x |
(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))) |
(*.f64 (/.f64 y z) y) |
y |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)) |
(/.f64 z y) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
(neg.f64 z) |
z |
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 y z) y) |
(/.f64 y z) |
y |
z |
#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
(/.f64 y (/.f64 z y)) |
(*.f64 (/.f64 y z) y) |
y |
(/.f64 z y) |
z |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x) |
(fma.f64 (/.f64 y z) y x) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(*.f64 y y) |
y |
x |
#s(approx (+ x (/ (* y y) z)) (/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64)))) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
(/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 y z) y) |
(/.f64 y z) |
y |
z |
(pow.f64 y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (pow.f64 y #s(literal -1 binary64)) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 0.1875 | (/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64))) | |
| accuracy | 31.897083600784576 | #s(approx (+ x (/ (* y y) z)) (/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64)))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) z) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 4.613318130589884 | (fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x) | |
| accuracy | 0 | (/.f64 z y) | |
| accuracy | 0.15234375 | (/.f64 y (/.f64 z y)) | |
| accuracy | 31.897083600784576 | #s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 0.15234375 | (*.f64 (/.f64 y z) y) | |
| accuracy | 31.897083600784576 | #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.00390625 | (+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))) | |
| accuracy | 0.15234375 | (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))) | |
| accuracy | 0.24609375 | (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)) |
| 193.0ms | 256× | 0 | valid |
Compiled 239 to 49 computations (79.5% saved)
ival-div: 165.0ms (92.2% of total)ival-mult: 6.0ms (3.4% of total)ival-add: 3.0ms (1.7% of total)ival-pow: 3.0ms (1.7% of total)ival-neg: 1.0ms (0.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)) |
(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))) |
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))) |
(/.f64 #s(literal -1 binary64) y) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 y z) y) |
(/.f64 y z) |
(/.f64 y (/.f64 z y)) |
#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) |
(/.f64 z y) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x) |
(/.f64 #s(literal 1 binary64) z) |
(*.f64 y y) |
(/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64))) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64)))) |
(pow.f64 y #s(literal -1 binary64)) |
(neg.f64 z) |
| Outputs |
|---|
(/ (pow y 2) z) |
(+ x (/ (pow y 2) z)) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(/ z y) |
(/ -1 y) |
(/ y z) |
(pow y 2) |
(/ 1 y) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(/ (+ (* x z) (pow y 2)) z) |
(/ 1 z) |
(* -1 z) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((* (/ -1 y) (neg z)) (/ y (* (/ -1 y) (neg z))) (+ x (/ y (* (/ -1 y) (neg z)))) (/ -1 y) (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (/ y (/ z y)) (+ x (/ (* y y) z)) (/ z y) (+ (* (/ 1 z) (* y y)) x) (/ 1 z) (* y y) (/ (/ y z) (pow y -1)) (+ x (/ (* y y) z)) (pow y -1) (neg z)) |
| 1.0ms | z | @ | -inf | ((* (/ -1 y) (neg z)) (/ y (* (/ -1 y) (neg z))) (+ x (/ y (* (/ -1 y) (neg z)))) (/ -1 y) (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (/ y (/ z y)) (+ x (/ (* y y) z)) (/ z y) (+ (* (/ 1 z) (* y y)) x) (/ 1 z) (* y y) (/ (/ y z) (pow y -1)) (+ x (/ (* y y) z)) (pow y -1) (neg z)) |
| 1.0ms | y | @ | inf | ((* (/ -1 y) (neg z)) (/ y (* (/ -1 y) (neg z))) (+ x (/ y (* (/ -1 y) (neg z)))) (/ -1 y) (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (/ y (/ z y)) (+ x (/ (* y y) z)) (/ z y) (+ (* (/ 1 z) (* y y)) x) (/ 1 z) (* y y) (/ (/ y z) (pow y -1)) (+ x (/ (* y y) z)) (pow y -1) (neg z)) |
| 1.0ms | y | @ | 0 | ((* (/ -1 y) (neg z)) (/ y (* (/ -1 y) (neg z))) (+ x (/ y (* (/ -1 y) (neg z)))) (/ -1 y) (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (/ y (/ z y)) (+ x (/ (* y y) z)) (/ z y) (+ (* (/ 1 z) (* y y)) x) (/ 1 z) (* y y) (/ (/ y z) (pow y -1)) (+ x (/ (* y y) z)) (pow y -1) (neg z)) |
| 1.0ms | z | @ | inf | ((* (/ -1 y) (neg z)) (/ y (* (/ -1 y) (neg z))) (+ x (/ y (* (/ -1 y) (neg z)))) (/ -1 y) (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (/ y (/ z y)) (+ x (/ (* y y) z)) (/ z y) (+ (* (/ 1 z) (* y y)) x) (/ 1 z) (* y y) (/ (/ y z) (pow y -1)) (+ x (/ (* y y) z)) (pow y -1) (neg z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 61 |
| 1 | 68 | 61 |
| 2 | 184 | 61 |
| 3 | 769 | 61 |
| 4 | 2732 | 61 |
| 5 | 5860 | 61 |
| 0 | 8271 | 56 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow y 2) z) |
(+ x (/ (pow y 2) z)) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(/ z y) |
(/ -1 y) |
(/ y z) |
(pow y 2) |
(/ 1 y) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(/ (+ (* x z) (pow y 2)) z) |
(/ 1 z) |
(* -1 z) |
| Outputs |
|---|
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(+ x (/ (pow y 2) z)) |
(fma.f64 (/.f64 y z) y x) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(fma.f64 (/.f64 y z) y x) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(fma.f64 (/.f64 y z) y x) |
(/ z y) |
(/.f64 z y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ y z) |
(/.f64 y z) |
(pow y 2) |
(*.f64 y y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(fma.f64 (/.f64 y z) y x) |
(/ (+ (* x z) (pow y 2)) z) |
(fma.f64 (/.f64 y z) y x) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(* -1 z) |
(neg.f64 z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 110 |
| 0 | 40 | 120 |
| 1 | 153 | 96 |
| 2 | 1349 | 96 |
| 0 | 8375 | 91 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)) |
(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))) |
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))) |
(/.f64 #s(literal -1 binary64) y) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 y z) y) |
(/.f64 y z) |
(/.f64 y (/.f64 z y)) |
#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) |
(/.f64 z y) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x) |
(/.f64 #s(literal 1 binary64) z) |
(*.f64 y y) |
(/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64))) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64)))) |
(pow.f64 y #s(literal -1 binary64)) |
(neg.f64 z) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 z) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (/.f64 z (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z)) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y z) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64))) (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 z #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1 binary64))) (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 z)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) z) |
(*.f64 #s(literal 1 binary64) (/.f64 z y)) |
(*.f64 (/.f64 z y) #s(literal 1 binary64)) |
(*.f64 (/.f64 z y) #s(literal -1 binary64)) |
(*.f64 (neg.f64 z) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 z (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 z y)) |
(pow.f64 (/.f64 z y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y z) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (/.f64 z y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 z y))))) |
(/.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 z y)) |
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (*.f64 (*.f64 z z) y)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/.f64 (/.f64 z y) #s(literal 1 binary64)) |
(/.f64 (/.f64 z y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 z) y) |
(/.f64 z y) |
(/.f64 #s(literal -1 binary64) (/.f64 y z)) |
(neg.f64 (/.f64 z y)) |
(fma.f64 (cosh.f64 (log.f64 y)) (neg.f64 z) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) (neg.f64 z))) |
(fma.f64 (cosh.f64 (log.f64 y)) z (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) z)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64) (/.f64 z y)) |
(fma.f64 (neg.f64 z) (cosh.f64 (log.f64 y)) (*.f64 (neg.f64 z) (sinh.f64 (neg.f64 (log.f64 y))))) |
(fma.f64 z (cosh.f64 (log.f64 y)) (*.f64 z (sinh.f64 (neg.f64 (log.f64 y))))) |
(-.f64 #s(literal 0 binary64) (/.f64 z y)) |
(exp.f64 (-.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 z) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (cosh.f64 (log.f64 y)) z) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) z)) |
(+.f64 (*.f64 (cosh.f64 (log.f64 y)) (neg.f64 z)) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) (neg.f64 z))) |
(+.f64 (*.f64 z (cosh.f64 (log.f64 y))) (*.f64 z (sinh.f64 (neg.f64 (log.f64 y))))) |
(+.f64 (*.f64 (neg.f64 z) (cosh.f64 (log.f64 y))) (*.f64 (neg.f64 z) (sinh.f64 (neg.f64 (log.f64 y))))) |
(+.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) (/.f64 z y)) |
(+.f64 (/.f64 (cosh.f64 (log.f64 y)) (pow.f64 z #s(literal -1 binary64))) (/.f64 (sinh.f64 (neg.f64 (log.f64 y))) (pow.f64 z #s(literal -1 binary64)))) |
(+.f64 #s(literal 0 binary64) (/.f64 z y)) |
(*.f64 (/.f64 (*.f64 y y) (*.f64 (neg.f64 z) z)) z) |
(*.f64 (/.f64 (*.f64 y y) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 z z)) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z))) |
(*.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) |
(*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z)) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 y (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 y (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z))) |
(*.f64 (fabs.f64 (pow.f64 y #s(literal 3/2 binary64))) (fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z)))) |
(*.f64 (fabs.f64 (/.f64 y z)) y) |
(*.f64 (pow.f64 (pow.f64 y #s(literal -3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (/.f64 y (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z))) |
(*.f64 (/.f64 y (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 y (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z)) (pow.f64 y #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z)) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z)))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z))) |
(*.f64 (*.f64 y y) (fabs.f64 (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 y z) y) |
(*.f64 (*.f64 (/.f64 y z) y) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 y z) y) #s(literal -1 binary64)) |
(*.f64 y (fabs.f64 (/.f64 y z))) |
(*.f64 y (/.f64 y z)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y z) y)) |
(pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1 binary64)) |
(/.f64 (/.f64 (/.f64 y (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z)) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64))) |
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(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) |
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/4 binary64)) |
(pow.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(pow.f64 y #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 y)) (cosh.f64 (log.f64 y))) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) (sinh.f64 (neg.f64 (log.f64 y))))) y) |
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(/.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 y #s(literal -1 binary64))) |
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(/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) y) |
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(neg.f64 (pow.f64 y #s(literal -1 binary64))) |
(fma.f64 (cosh.f64 (log.f64 y)) #s(literal 1 binary64) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) #s(literal 1 binary64))) |
(fma.f64 (cosh.f64 (log.f64 y)) #s(literal -1 binary64) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 y)) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 (log.f64 y))))) |
(fma.f64 #s(literal -1 binary64) (cosh.f64 (log.f64 y)) (*.f64 #s(literal -1 binary64) (sinh.f64 (neg.f64 (log.f64 y))))) |
(sqrt.f64 (pow.f64 y #s(literal -2 binary64))) |
(-.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 (log.f64 y))) (sinh.f64 (neg.f64 (log.f64 y)))) |
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1 binary64))) |
(fabs.f64 (pow.f64 y #s(literal -1 binary64))) |
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal -1/2 binary64))) |
(exp.f64 (neg.f64 (log.f64 y))) |
(+.f64 (*.f64 (cosh.f64 (log.f64 y)) #s(literal -1 binary64)) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (cosh.f64 (log.f64 y)) #s(literal 1 binary64)) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) #s(literal 1 binary64))) |
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(+.f64 (/.f64 (cosh.f64 (log.f64 y)) #s(literal 1 binary64)) (/.f64 (sinh.f64 (neg.f64 (log.f64 y))) #s(literal 1 binary64))) |
(+.f64 (sinh.f64 (neg.f64 (log.f64 y))) (cosh.f64 (log.f64 y))) |
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(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 y (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z))) |
(*.f64 (fabs.f64 (pow.f64 y #s(literal 3/2 binary64))) (fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z)))) |
(*.f64 (fabs.f64 (/.f64 y z)) y) |
(*.f64 (pow.f64 (pow.f64 y #s(literal -3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (/.f64 y (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z))) |
(*.f64 (/.f64 y (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 y (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z)) (pow.f64 y #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z)) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z)))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z))) |
(*.f64 (*.f64 y y) (fabs.f64 (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 y z) y) |
(*.f64 (*.f64 (/.f64 y z) y) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 y z) y) #s(literal -1 binary64)) |
(*.f64 y (fabs.f64 (/.f64 y z))) |
(*.f64 y (/.f64 y z)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y z) y)) |
(pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1 binary64)) |
(/.f64 (/.f64 (/.f64 y (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z)) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64))) |
(/.f64 (fabs.f64 (/.f64 y (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z))) (pow.f64 y #s(literal -1/2 binary64))) |
(/.f64 (fabs.f64 (/.f64 y z)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) z)) |
(/.f64 (/.f64 y (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 y (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z)) (pow.f64 y #s(literal -1/2 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -2 binary64))) |
(/.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) z)) |
(/.f64 (*.f64 y y) (fabs.f64 (neg.f64 z))) |
(/.f64 (*.f64 y y) (fabs.f64 z)) |
(/.f64 (*.f64 y y) (neg.f64 z)) |
(/.f64 (*.f64 y y) z) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (/.f64 z y) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y)) |
(/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 y z) y) #s(literal 1 binary64)) |
(/.f64 (*.f64 (/.f64 y z) y) #s(literal -1 binary64)) |
(/.f64 y (fabs.f64 (/.f64 z y))) |
(/.f64 y (/.f64 z y)) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 z y) y)) |
(neg.f64 (*.f64 (/.f64 y z) y)) |
(sqrt.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) z) (*.f64 (/.f64 y z) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (/.f64 y z) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z y)) (*.f64 (/.f64 y z) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 y z) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y z) y)) |
(fabs.f64 (*.f64 (/.f64 y z) y)) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (*.f64 (log.f64 z) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 z) #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (log.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z y) y)) #s(literal -1 binary64))) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) |
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/4 binary64)) |
(pow.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(pow.f64 y #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 y)) (cosh.f64 (log.f64 y))) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) (sinh.f64 (neg.f64 (log.f64 y))))) y) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 (log.f64 y))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 y)) (cosh.f64 (log.f64 y)) (-.f64 (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) (sinh.f64 (neg.f64 (log.f64 y)))) (*.f64 (cosh.f64 (log.f64 y)) (sinh.f64 (neg.f64 (log.f64 y))))))) |
(/.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64))) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(neg.f64 (pow.f64 y #s(literal -1 binary64))) |
(fma.f64 (cosh.f64 (log.f64 y)) #s(literal 1 binary64) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) #s(literal 1 binary64))) |
(fma.f64 (cosh.f64 (log.f64 y)) #s(literal -1 binary64) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 y)) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 (log.f64 y))))) |
(fma.f64 #s(literal -1 binary64) (cosh.f64 (log.f64 y)) (*.f64 #s(literal -1 binary64) (sinh.f64 (neg.f64 (log.f64 y))))) |
(sqrt.f64 (pow.f64 y #s(literal -2 binary64))) |
(-.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 (log.f64 y))) (sinh.f64 (neg.f64 (log.f64 y)))) |
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1 binary64))) |
(fabs.f64 (pow.f64 y #s(literal -1 binary64))) |
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal -1/2 binary64))) |
(exp.f64 (neg.f64 (log.f64 y))) |
(+.f64 (*.f64 (cosh.f64 (log.f64 y)) #s(literal -1 binary64)) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (cosh.f64 (log.f64 y)) #s(literal 1 binary64)) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal -1 binary64) (cosh.f64 (log.f64 y))) (*.f64 #s(literal -1 binary64) (sinh.f64 (neg.f64 (log.f64 y))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 y))) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 (log.f64 y))))) |
(+.f64 (neg.f64 (cosh.f64 (log.f64 y))) (neg.f64 (sinh.f64 (neg.f64 (log.f64 y))))) |
(+.f64 (/.f64 (cosh.f64 (log.f64 y)) #s(literal 1 binary64)) (/.f64 (sinh.f64 (neg.f64 (log.f64 y))) #s(literal 1 binary64))) |
(+.f64 (sinh.f64 (neg.f64 (log.f64 y))) (cosh.f64 (log.f64 y))) |
(+.f64 (cosh.f64 (log.f64 y)) (sinh.f64 (neg.f64 (log.f64 y)))) |
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 #s(literal 1 binary64) (neg.f64 z)) |
(*.f64 (neg.f64 z) #s(literal 1 binary64)) |
(*.f64 z #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) z) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 (neg.f64 z) z)) |
(/.f64 (*.f64 (neg.f64 z) z) z) |
(/.f64 (*.f64 z z) (neg.f64 z)) |
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) (*.f64 #s(literal 0 binary64) (neg.f64 z))))) |
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (*.f64 z z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (neg.f64 z) #s(literal 1 binary64)) |
(/.f64 z #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64))) |
(neg.f64 z) |
(fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 z #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 z) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 z) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 z #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) z #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) z) z) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))) |
(-.f64 #s(literal 0 binary64) z) |
(+.f64 #s(literal 0 binary64) (neg.f64 z)) |
(+.f64 (neg.f64 z) #s(literal 0 binary64)) |
Compiled 12 344 to 1 650 computations (86.6% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 614 | 1 | 615 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 615 | 7 | 622 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (/.f64 y z) y x) |
| ✓ | 92.8% | (fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x) |
| ✓ | 99.8% | (+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))) |
| ▶ | 50.0% | #s(approx (+ x (/ (* y y) z)) (/.f64 (/.f64 y z) #s(approx (pow y -1) (/.f64 #s(literal 1 binary64) y)))) |
| ✓ | 44.8% | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
| ✓ | 50.0% | #s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) |
| ✓ | 50.1% | #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
Compiled 82 to 62 computations (24.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (pow y -1) (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (/.f64 (/.f64 y z) #s(approx (pow y -1) (/.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | #s(approx (+ x (/ (* y y) z)) (/.f64 (/.f64 y z) #s(approx (pow y -1) (/.f64 #s(literal 1 binary64) y)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 46 |
| 0 | 17 | 46 |
| 1 | 29 | 46 |
| 2 | 53 | 46 |
| 3 | 161 | 46 |
| 4 | 560 | 46 |
| 5 | 1077 | 46 |
| 6 | 2050 | 46 |
| 7 | 4721 | 46 |
| 8 | 5397 | 46 |
| 9 | 6170 | 46 |
| 10 | 6594 | 46 |
| 11 | 6978 | 46 |
| 12 | 7547 | 46 |
| 13 | 7835 | 46 |
| 0 | 8166 | 45 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (/ (* y y) z)) (/.f64 (/.f64 y z) #s(approx (pow y -1) (/.f64 #s(literal 1 binary64) y)))) |
(/.f64 (/.f64 y z) #s(approx (pow y -1) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 y z) |
y |
z |
#s(approx (pow y -1) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (+ x (/ (* y y) z)) (/.f64 (/.f64 y z) #s(approx (pow y -1) (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (/.f64 y z) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))))) |
(/.f64 (/.f64 y z) #s(approx (pow y -1) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (/.f64 y z) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 y z) |
y |
z |
#s(approx (pow y -1) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) y) |
(pow.f64 y #s(literal -1 binary64)) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0 | #s(approx (pow y -1) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.1875 | (/.f64 (/.f64 y z) #s(approx (pow y -1) (/.f64 #s(literal 1 binary64) y))) | |
| accuracy | 31.897083600784576 | #s(approx (+ x (/ (* y y) z)) (/.f64 (/.f64 y z) #s(approx (pow y -1) (/.f64 #s(literal 1 binary64) y)))) |
| 23.0ms | 256× | 0 | valid |
Compiled 74 to 28 computations (62.2% saved)
ival-div: 8.0ms (54.5% of total)ival-pow: 3.0ms (20.4% of total)ival-mult: 2.0ms (13.6% of total)ival-add: 1.0ms (6.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ x (/ (* y y) z)) (/.f64 (/.f64 y z) #s(approx (pow y -1) (/.f64 #s(literal 1 binary64) y)))) |
(/.f64 (/.f64 y z) #s(approx (pow y -1) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 y z) |
#s(approx (pow y -1) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(/ (pow y 2) z) |
(+ x (/ (pow y 2) z)) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(/ y z) |
(/ 1 y) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(/ (+ (* x z) (pow y 2)) z) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((+ x (/ (* y y) z)) (/ (/ y z) (pow y -1)) (/ y z) (pow y -1) (/ 1 y)) |
| 1.0ms | y | @ | inf | ((+ x (/ (* y y) z)) (/ (/ y z) (pow y -1)) (/ y z) (pow y -1) (/ 1 y)) |
| 1.0ms | z | @ | -inf | ((+ x (/ (* y y) z)) (/ (/ y z) (pow y -1)) (/ y z) (pow y -1) (/ 1 y)) |
| 1.0ms | y | @ | 0 | ((+ x (/ (* y y) z)) (/ (/ y z) (pow y -1)) (/ y z) (pow y -1) (/ 1 y)) |
| 0.0ms | z | @ | 0 | ((+ x (/ (* y y) z)) (/ (/ y z) (pow y -1)) (/ y z) (pow y -1) (/ 1 y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 47 |
| 1 | 63 | 47 |
| 2 | 179 | 47 |
| 3 | 755 | 47 |
| 4 | 2672 | 47 |
| 5 | 5684 | 47 |
| 0 | 8108 | 42 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow y 2) z) |
(+ x (/ (pow y 2) z)) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(/ y z) |
(/ 1 y) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(/ (+ (* x z) (pow y 2)) z) |
| Outputs |
|---|
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(+ x (/ (pow y 2) z)) |
(fma.f64 (/.f64 y z) y x) |
x |
(* x (+ 1 (/ (pow y 2) (* x z)))) |
(fma.f64 (/.f64 y z) y x) |
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) |
(fma.f64 (/.f64 y z) y x) |
(/ y z) |
(/.f64 y z) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) |
(fma.f64 (/.f64 y z) y x) |
(/ (+ (* x z) (pow y 2)) z) |
(fma.f64 (/.f64 y z) y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 43 |
| 0 | 17 | 43 |
| 1 | 75 | 43 |
| 2 | 465 | 43 |
| 3 | 6724 | 43 |
| 0 | 8157 | 42 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (/ (* y y) z)) (/.f64 (/.f64 y z) #s(approx (pow y -1) (/.f64 #s(literal 1 binary64) y)))) |
(/.f64 (/.f64 y z) #s(approx (pow y -1) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 y z) |
#s(approx (pow y -1) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
#s(approx (+ x (/ (* y y) z)) (/.f64 (/.f64 y z) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))))) |
(*.f64 (/.f64 (pow.f64 #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 z)) y) |
(*.f64 (/.f64 (pow.f64 #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 y z)) |
(*.f64 (pow.f64 (/.f64 #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (pow.f64 (/.f64 #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))) y) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 z y) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 z y) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64)))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 y #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64)))) y) |
(*.f64 (/.f64 y #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 y #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64)))) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 y z) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64)))) (/.f64 y z)) |
(*.f64 (pow.f64 #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 y z)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 y z) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))))) |
(*.f64 (/.f64 y z) (/.f64 #s(literal -1 binary64) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))))) |
(*.f64 (/.f64 y z) (pow.f64 #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 y (/.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64)))))) |
(*.f64 y (/.f64 (pow.f64 #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 z))) |
(*.f64 y (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64)))))) |
(*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64)))))) |
(*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 y (pow.f64 (*.f64 (neg.f64 z) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(*.f64 y (/.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))))) |
(*.f64 y (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))))) |
(pow.f64 (*.f64 (/.f64 z y) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(/.f64 (pow.f64 (/.f64 #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))) y) #s(literal -1 binary64)) (neg.f64 z)) |
(/.f64 (pow.f64 (/.f64 #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))) y) #s(literal -1 binary64)) z) |
(/.f64 (*.f64 y (/.f64 #s(literal -1 binary64) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))))) (neg.f64 z)) |
(/.f64 (*.f64 y (/.f64 #s(literal -1 binary64) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))))) z) |
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))) (/.f64 z y)) |
(/.f64 (*.f64 (pow.f64 #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 z y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))))) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))))) z) |
(/.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64)))) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (/.f64 y #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 z)) |
(/.f64 (/.f64 y #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64)))) z) |
(/.f64 (/.f64 (/.f64 y z) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(/.f64 (/.f64 (/.f64 y z) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64)))) (/.f64 z y)) |
(/.f64 (pow.f64 #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 z y)) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))))) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z y) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))))) |
(/.f64 (/.f64 y z) (neg.f64 #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))))) |
(/.f64 (/.f64 y z) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 y (neg.f64 (*.f64 (neg.f64 z) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64)))))) |
(/.f64 y (*.f64 (neg.f64 #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 z))) |
(/.f64 y (*.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))) z))) |
(/.f64 y (*.f64 (neg.f64 z) (neg.f64 #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64)))))) |
(/.f64 y (*.f64 (neg.f64 z) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))))) |
(/.f64 y (*.f64 #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))) z)) |
(neg.f64 (/.f64 (/.f64 y z) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))))) (/.f64 (/.f64 y z) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))))) (/.f64 (/.f64 y z) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64)))) (/.f64 (/.f64 y z) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y z) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z y) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))))) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 (/.f64 z y) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 (/.f64 z y) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) y) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) y) |
(*.f64 #s(literal 1 binary64) (/.f64 y z)) |
(*.f64 #s(literal -1 binary64) (/.f64 y z)) |
(*.f64 (/.f64 y z) #s(literal 1 binary64)) |
(*.f64 (/.f64 y z) #s(literal -1 binary64)) |
(*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))) |
(*.f64 y (/.f64 #s(literal -1 binary64) z)) |
(*.f64 y (pow.f64 z #s(literal -1 binary64))) |
(pow.f64 (/.f64 z y) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 z y) #s(literal -2 binary64))) (/.f64 y z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 y z))))) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
(/.f64 #s(literal -1 binary64) (/.f64 z y)) |
(/.f64 (/.f64 y z) #s(literal 1 binary64)) |
(/.f64 (/.f64 y z) #s(literal -1 binary64)) |
(/.f64 y (*.f64 (neg.f64 z) #s(literal -1 binary64))) |
(/.f64 y (*.f64 (neg.f64 z) #s(literal 1 binary64))) |
(/.f64 y (*.f64 #s(literal 1 binary64) (neg.f64 z))) |
(/.f64 y (neg.f64 z)) |
(/.f64 y z) |
(neg.f64 (/.f64 y z)) |
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 y z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 y z)) |
(-.f64 #s(literal 0 binary64) (/.f64 y z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64)))) |
(+.f64 #s(literal 0 binary64) (/.f64 y z)) |
(*.f64 #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))))) |
(pow.f64 (pow.f64 #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
#s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (neg.f64 #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(/.f64 #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64))))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) |
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/4 binary64)) |
(pow.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(pow.f64 y #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 (log.f64 y))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 y)) (cosh.f64 (log.f64 y)) (-.f64 (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) (sinh.f64 (neg.f64 (log.f64 y)))) (*.f64 (cosh.f64 (log.f64 y)) (sinh.f64 (neg.f64 (log.f64 y))))))) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(neg.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))) |
(neg.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))) |
(neg.f64 (pow.f64 y #s(literal -1 binary64))) |
(fma.f64 (cosh.f64 (log.f64 y)) #s(literal 1 binary64) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 y)) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 (log.f64 y))))) |
(sqrt.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))) |
(-.f64 (cosh.f64 (log.f64 y)) (sinh.f64 (log.f64 y))) |
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1 binary64))) |
(fabs.f64 (pow.f64 y #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 y))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/2 binary64))) |
(exp.f64 (neg.f64 (log.f64 y))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (cosh.f64 (log.f64 y)) #s(literal 1 binary64)) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 y))) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 (log.f64 y))))) |
(+.f64 (sinh.f64 (neg.f64 (log.f64 y))) (cosh.f64 (log.f64 y))) |
(+.f64 (cosh.f64 (log.f64 y)) (sinh.f64 (neg.f64 (log.f64 y)))) |
Compiled 3 391 to 537 computations (84.2% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 149 | 0 | 149 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 149 | 7 | 156 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (/.f64 y z) y x) |
| ✓ | 92.8% | (fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x) |
| ✓ | 99.8% | (+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))) |
| ✓ | 50.0% | #s(approx (+ x (/ (* y y) z)) (/.f64 (/.f64 y z) #s(approx (pow y -1) (/.f64 #s(literal 1 binary64) y)))) |
| ✓ | 44.8% | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
| ✓ | 50.0% | #s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) |
| ✓ | 50.1% | #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
Compiled 227 to 109 computations (52% saved)
| Inputs |
|---|
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
(fma.f64 (/.f64 y z) y x) |
(+.f64 x (/.f64 (*.f64 y y) z)) |
#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x) |
(+.f64 x (/.f64 y (/.f64 z y))) |
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (/.f64 y z) #s(approx (pow y -1) (/.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64)))) |
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) z)) |
(*.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64))) |
| Outputs |
|---|
(fma.f64 (/.f64 y z) y x) |
6 calls:
| 20.0ms | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 4.0ms | z |
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 99.9% | 1 | (/.f64 (*.f64 y y) z) |
| 99.9% | 1 | (*.f64 y y) |
Compiled 18 to 24 computations (-33.3% saved)
Total -3.4b remaining (-10.6%)
Threshold costs -3.4b (-10.6%)
| Inputs |
|---|
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
| Outputs |
|---|
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
6 calls:
| 9.0ms | y |
| 5.0ms | z |
| 2.0ms | x |
| 1.0ms | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 1.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.1% | 1 | x |
| 50.1% | 1 | y |
| 50.1% | 1 | z |
| 50.1% | 1 | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 50.1% | 1 | (/.f64 (*.f64 y y) z) |
| 50.1% | 1 | (*.f64 y y) |
Compiled 18 to 24 computations (-33.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 19 |
| 1 | 11 | 19 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (/.f64 y z) y x) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
| Outputs |
|---|
(fma.f64 (/.f64 y z) y x) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 80 |
| 0 | 38 | 69 |
| 1 | 163 | 69 |
| 2 | 881 | 69 |
| 0 | 8372 | 69 |
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 40 | 15 |
| 2 | 318 | 15 |
| 3 | 5411 | 15 |
| 0 | 8752 | 14 |
| 0 | 23 | 44 |
| 1 | 61 | 44 |
| 2 | 180 | 44 |
| 3 | 756 | 44 |
| 4 | 2674 | 44 |
| 5 | 5682 | 44 |
| 0 | 8103 | 39 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 50 to 32 computations (36% saved)
(abs y)
Compiled 78 to 54 computations (30.8% saved)
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