
Time bar (total: 10.0s)
| 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 |
| 50% | 49.9% | 49.9% | 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 |
| 75% | 74.9% | 25% | 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 |
| 87.5% | 87.4% | 12.5% | 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 |
| 93.8% | 93.6% | 6.2% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 19 to 12 computations (36.8% saved)
ival-mult: 17.0ms (64.4% of total)ival-sub: 3.0ms (11.4% of total)ival-div: 3.0ms (11.4% of total)ival-add: 3.0ms (11.4% of total)const: 1.0ms (3.8% of total)backward-pass: 0.0ms (0% of total)| 1.1s | 8256× | 0 | valid |
ival-mult: 321.0ms (37.1% of total)ival-sub: 248.0ms (28.7% of total)ival-div: 234.0ms (27.1% of total)ival-add: 48.0ms (5.6% of total)const: 11.0ms (1.3% of total)backward-pass: 2.0ms (0.2% of total)| 1× | egg-herbie |
| 684× | div-sub |
| 578× | sub-neg |
| 550× | fma-neg |
| 426× | associate-/l* |
| 374× | fma-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 672 |
| 1 | 164 | 660 |
| 2 | 533 | 660 |
| 3 | 2454 | 660 |
| 4 | 7758 | 660 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (-.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)) (*.f64 (neg.f64 y) #s(literal 2 binary64))) |
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y #s(literal 2 binary64))) |
(neg.f64 (/.f64 (-.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)) (*.f64 (neg.f64 y) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y #s(literal 2 binary64)))) |
(/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 x #s(literal 2 binary64))) |
(/.f64 (-.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y y)) (*.f64 z #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)) |
(*.f64 (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)) |
(*.f64 (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)) |
(*.f64 (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)) (*.f64 (neg.f64 y) #s(literal 2 binary64))) |
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) (neg.f64 y))) |
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal -2 binary64))) |
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) (*.f64 y #s(literal -2 binary64))) |
(*.f64 (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y) #s(literal -1/2 binary64)) |
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)) |
(*.f64 (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y) #s(literal 1/2 binary64)) |
(neg.f64 (/.f64 (-.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))) |
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) (neg.f64 y))) |
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal -2 binary64))) |
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) (*.f64 y #s(literal -2 binary64))) |
(*.f64 (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y) #s(literal -1/2 binary64)) |
(neg.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)) (*.f64 (neg.f64 y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)) |
(*.f64 (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y) #s(literal 1/2 binary64)) |
(neg.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y #s(literal 2 binary64)))) |
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) (neg.f64 y))) |
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal -2 binary64))) |
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) (*.f64 y #s(literal -2 binary64))) |
(*.f64 (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y) #s(literal -1/2 binary64)) |
(/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 x #s(literal 2 binary64))) |
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 x #s(literal 2 binary64))) |
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) (*.f64 x #s(literal 2 binary64))) |
(/.f64 (-.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (-.f64 (fma.f64 z z (*.f64 y y)) (*.f64 x x)) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (-.f64 (fma.f64 y y (*.f64 z z)) (*.f64 x x)) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y y)) (*.f64 z #s(literal 2 binary64))) |
(/.f64 (-.f64 (fma.f64 x x (*.f64 z z)) (*.f64 y y)) (*.f64 z #s(literal 2 binary64))) |
(abs x)
(abs z)
(negabs y)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 80 | 0 | - | 0 | - | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| 33 | 0 | - | 0 | - | (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 z z) |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) | o/n | 78 | 0 |
| ↳ | (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) | overflow | 154 | |
| ↳ | (*.f64 y y) | overflow | 75 | |
| ↳ | (*.f64 x x) | overflow | 62 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 y y)) | overflow | 122 | |
| ↳ | (*.f64 z z) | overflow | 65 | |
-.f64 | (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) | nan-rescue | 33 | 0 |
| ↳ | (*.f64 y y) | overflow | 75 | |
| ↳ | (*.f64 x x) | overflow | 62 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 y y)) | overflow | 122 | |
| ↳ | (*.f64 z z) | overflow | 65 | |
/.f64 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) | u/n | 2 | 0 |
| ↳ | (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) | underflow | 2 | |
| ↳ | (*.f64 y y) | underflow | 55 | |
| ↳ | (*.f64 x x) | underflow | 65 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 y y)) | underflow | 13 | |
| ↳ | (*.f64 z z) | underflow | 57 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 95 | 0 |
| - | 0 | 161 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 95 | 0 | 0 |
| - | 0 | 0 | 161 |
| number | freq |
|---|---|
| 0 | 161 |
| 1 | 77 |
| 2 | 18 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 142.0ms | 512× | 0 | valid |
Compiled 142 to 46 computations (67.6% saved)
ival-mult: 30.0ms (75.4% of total)ival-div: 4.0ms (10.1% of total)ival-add: 2.0ms (5% of total)ival-sub: 2.0ms (5% of total)const: 1.0ms (2.5% of total)backward-pass: 0.0ms (0% of total)Compiled 45 to 17 computations (62.2% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 64.6% | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| ▶ | 66.2% | (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)) |
Compiled 35 to 21 computations (40% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 z z) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 y y) (*.f64 z z)) |
| ✓ | cost-diff | 128 | (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)) |
| 616× | fma-neg |
| 442× | distribute-lft-in |
| 411× | associate-+l- |
| 411× | unsub-neg |
| 405× | distribute-rgt-in |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 423 |
| 1 | 49 | 423 |
| 2 | 101 | 423 |
| 3 | 252 | 423 |
| 4 | 689 | 423 |
| 5 | 1837 | 414 |
| 6 | 4031 | 396 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)) |
#s(literal 1/2 binary64) |
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y) |
(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) |
x |
(-.f64 (*.f64 y y) (*.f64 z z)) |
(*.f64 y y) |
y |
(*.f64 z z) |
z |
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(*.f64 z z) |
z |
(*.f64 y #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 y #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y)) |
#s(literal 1/2 binary64) |
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y) |
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y) |
(fma.f64 y #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y)) |
(fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y) |
(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(fma.f64 y y (fma.f64 x x (*.f64 z (neg.f64 z)))) |
x |
(-.f64 (*.f64 y y) (*.f64 z z)) |
(*.f64 y y) |
y |
(*.f64 z z) |
z |
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 y #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y)) |
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(fma.f64 y y (fma.f64 x x (*.f64 z (neg.f64 z)))) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(fma.f64 x x (*.f64 y y)) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(*.f64 z z) |
z |
(*.f64 y #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 x x) (*.f64 y y)) |
| ✓ | accuracy | 88.5% | (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
| ✓ | accuracy | 71.0% | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)) |
| ✓ | accuracy | 96.9% | (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) |
| ✓ | accuracy | 92.6% | (-.f64 (*.f64 y y) (*.f64 z z)) |
| ✓ | accuracy | 71.0% | (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y) |
| 48.0ms | 256× | 0 | valid |
Compiled 106 to 17 computations (84% saved)
ival-mult: 9.0ms (45.2% of total)ival-div: 4.0ms (20.1% of total)ival-fma: 3.0ms (15.1% of total)ival-sub: 2.0ms (10% of total)ival-add: 1.0ms (5% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))> |
#<alt (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)> |
#<alt (-.f64 (*.f64 y y) (*.f64 z z))> |
#<alt (*.f64 y y)> |
#<alt (*.f64 x x)> |
#<alt (*.f64 z z)> |
#<alt (*.f64 y #s(literal 2 binary64))> |
#<alt (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z)))> |
#<alt (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))> |
#<alt (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))> |
#<alt (+.f64 (*.f64 x x) (*.f64 y y))> |
| Outputs |
|---|
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))> |
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))> |
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))> |
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))> |
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#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))> |
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))> |
#<alt (pow.f64 y #s(literal 2 binary64))> |
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))> |
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))> |
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))> |
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))> |
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))> |
#<alt (pow.f64 y #s(literal 2 binary64))> |
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))> |
#<alt (pow.f64 y #s(literal 2 binary64))> |
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (* y y) |
| 1.0ms | x | @ | 0 | (* 1/2 (/ (+ (* x x) (- (* y y) (* z z))) y)) |
| 1.0ms | x | @ | inf | (* 1/2 (/ (+ (* x x) (- (* y y) (* z z))) y)) |
| 1.0ms | z | @ | 0 | (* 1/2 (/ (+ (* x x) (- (* y y) (* z z))) y)) |
| 1.0ms | z | @ | inf | (* 1/2 (/ (+ (* x x) (- (* y y) (* z z))) y)) |
| 1× | batch-egg-rewrite |
| 1169× | log1p-expm1-u |
| 595× | expm1-log1p-u |
| 152× | add-cube-cbrt |
| 151× | add-exp-log |
| 151× | add-log-exp |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 323 |
| 1 | 353 | 293 |
| 2 | 5104 | 293 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)) |
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y) |
(-.f64 (*.f64 y y) (*.f64 z z)) |
(*.f64 y y) |
(*.f64 x x) |
(*.f64 z z) |
(*.f64 y #s(literal 2 binary64)) |
(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) |
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
| Outputs |
|---|
(+.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)))) |
(-.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y #s(literal -2 binary64))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (*.f64 y #s(literal 2 binary64)) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 (*.f64 y #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) (*.f64 y #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (neg.f64 (*.f64 y #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal -2 binary64)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) y) |
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)))) (+.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) y) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y)) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y #s(literal 2 binary64)))) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal -2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))) |
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64))) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1 binary64)) |
(*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)) |
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(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal -2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))) |
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64))) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1 binary64))) |
(+.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))) |
(+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
(+.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) |
(+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) |
(+.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64)))) |
(+.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) |
(+.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64)))) |
(+.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) |
(*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))))) |
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (+.f64 (hypot.f64 x y) z) (-.f64 (hypot.f64 x y) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))) |
(pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(exp.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) |
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
(fma.f64 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (hypot.f64 x y) (hypot.f64 x y)) |
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) |
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) |
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) |
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) |
(exp.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(fma.f64 x x (pow.f64 y #s(literal 2 binary64))) |
(fma.f64 y y (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) |
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) |
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| 1× | egg-herbie |
| 991× | fma-neg |
| 475× | associate-*r* |
| 415× | associate-*l* |
| 325× | times-frac |
| 255× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 733 | 30256 |
| 1 | 1717 | 28132 |
| 2 | 7672 | 28090 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
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(+.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) |
(+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) |
(+.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64)))) |
(+.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) |
(+.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64)))) |
(+.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) |
(*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))))) |
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (+.f64 (hypot.f64 x y) z) (-.f64 (hypot.f64 x y) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))) |
(pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(exp.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) |
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
(fma.f64 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (hypot.f64 x y) (hypot.f64 x y)) |
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) |
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) |
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) |
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) |
(exp.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(fma.f64 x x (pow.f64 y #s(literal 2 binary64))) |
(fma.f64 y y (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) |
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) |
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)) |
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(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) |
(fma.f64 y y (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(fma.f64 y y (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) |
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) |
(fma.f64 y y (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(sqrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 4 binary64))) |
(log.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) |
(fma.f64 y y (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) |
(fma.f64 y y (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) |
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(fma.f64 y y (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) |
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) |
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))) |
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) |
(fma.f64 y y (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) |
(exp.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) |
(fma.f64 y y (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(fma.f64 y y (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) |
(fma.f64 x x (pow.f64 y #s(literal 2 binary64))) |
(fma.f64 y y (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) |
(fma.f64 y y (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 y y (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) |
(fma.f64 y y (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) |
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) |
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
Compiled 10058 to 1729 computations (82.8% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 475 | 12 | 487 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 0 | 0 |
| Total | 476 | 13 | 489 |
| Status | Accuracy | Program |
|---|---|---|
| 64.1% | (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64)) | |
| 64.4% | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) | |
| ✓ | 64.6% | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| ▶ | 56.8% | (/.f64 (-.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| ▶ | 64.5% | (/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
| ▶ | 27.0% | (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) |
| 31.0% | (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) | |
| 52.2% | (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)) | |
| 72.1% | (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))) | |
| 56.6% | (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))))) y)) | |
| ▶ | 81.7% | (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) |
| 57.7% | (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (/.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y))))) | |
| ▶ | 36.4% | (*.f64 #s(literal 1/2 binary64) y) |
Compiled 422 to 281 computations (33.4% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
| cost-diff | 0 | (*.f64 y #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 y y) | |
| ✓ | cost-diff | 0 | (pow.f64 x #s(literal 4 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) y) |
| ✓ | cost-diff | 0 | (pow.f64 x #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) y) |
| ✓ | cost-diff | 0 | (pow.f64 x #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) |
| ✓ | cost-diff | 0 | (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
| 776× | div-sub |
| 639× | distribute-lft-in |
| 578× | distribute-rgt-in |
| 566× | unsub-neg |
| 501× | fma-define |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 649 |
| 1 | 73 | 637 |
| 2 | 163 | 637 |
| 3 | 362 | 637 |
| 4 | 957 | 637 |
| 5 | 2736 | 632 |
| 6 | 6488 | 632 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) |
#s(literal 1/2 binary64) |
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
y |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) |
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(pow.f64 z #s(literal 2 binary64)) |
z |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) |
(pow.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(/.f64 (-.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
(-.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 y y)) (*.f64 z z)) |
(+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 y y)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
(*.f64 y y) |
y |
(*.f64 z z) |
z |
(*.f64 y #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
#s(literal 1/2 binary64) |
(/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
y |
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) |
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) |
(hypot.f64 x y) |
x |
#s(literal 2 binary64) |
(pow.f64 z #s(literal 2 binary64)) |
z |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(literal 1/2 binary64) |
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
y |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) |
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(pow.f64 z #s(literal 2 binary64)) |
z |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(pow.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(/.f64 (-.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 y y) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (-.f64 (fma.f64 y y (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (+.f64 y (/.f64 (-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)) |
(-.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 y y)) (*.f64 z z)) |
(+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 y y) (pow.f64 z #s(literal 2 binary64)))) |
(-.f64 (fma.f64 y y (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 z #s(literal 2 binary64))) |
(+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 y y)) |
(fma.f64 y y (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
(*.f64 y y) |
y |
(*.f64 z z) |
(pow.f64 z #s(literal 2 binary64)) |
z |
(*.f64 y #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
#s(literal 1/2 binary64) |
(/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
(/.f64 y (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
y |
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) |
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) |
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) |
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) |
(hypot.f64 x y) |
(hypot.f64 y x) |
x |
#s(literal 2 binary64) |
(pow.f64 z #s(literal 2 binary64)) |
z |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
| ✓ | accuracy | 88.5% | (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) |
| ✓ | accuracy | 70.9% | (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
| ✓ | accuracy | 100.0% | (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 y y)) |
| ✓ | accuracy | 88.5% | (-.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 y y)) (*.f64 z z)) |
| ✓ | accuracy | 79.8% | (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
| ✓ | accuracy | 71.0% | (/.f64 (-.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (pow.f64 x #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) y) |
| ✓ | accuracy | 86.9% | (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) y) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) |
| ✓ | accuracy | 100.0% | (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
| ✓ | accuracy | 94.9% | (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) |
| ✓ | accuracy | 84.8% | (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) |
| 88.0ms | 256× | 0 | valid |
Compiled 183 to 29 computations (84.2% saved)
ival-pow: 13.0ms (26.9% of total)ival-mult: 11.0ms (22.8% of total)ival-div: 10.0ms (20.7% of total)ival-hypot: 4.0ms (8.3% of total)ival-sub: 4.0ms (8.3% of total)ival-sqrt: 3.0ms (6.2% of total)ival-add: 2.0ms (4.1% of total)const: 1.0ms (2.1% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))> |
#<alt (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)> |
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (*.f64 #s(literal 1/2 binary64) y)> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))> |
#<alt (/.f64 #s(literal 1/2 binary64) y)> |
#<alt (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))> |
#<alt (pow.f64 x #s(literal 4 binary64))> |
#<alt (/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))> |
#<alt (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))> |
#<alt (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))> |
#<alt (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))> |
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))> |
#<alt (/.f64 (-.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))> |
#<alt (-.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 y y)) (*.f64 z z))> |
#<alt (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 y y))> |
| Outputs |
|---|
#<alt (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)> |
#<alt (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)> |
#<alt (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)> |
#<alt (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)> |
#<alt y> |
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))> |
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))> |
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))> |
#<alt y> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))> |
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#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y))> |
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)))> |
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)))> |
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)))> |
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))> |
#<alt (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))> |
#<alt (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))> |
#<alt (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))> |
#<alt (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))> |
#<alt (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))> |
#<alt (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))> |
#<alt (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))> |
#<alt (pow.f64 y #s(literal 2 binary64))> |
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))> |
#<alt (pow.f64 y #s(literal 2 binary64))> |
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))> |
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))> |
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))> |
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))> |
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))> |
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))> |
#<alt (pow.f64 y #s(literal 2 binary64))> |
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))> |
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))> |
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))> |
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))> |
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))> |
#<alt (pow.f64 y #s(literal 2 binary64))> |
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))> |
#<alt (pow.f64 y #s(literal 2 binary64))> |
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))> |
111 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | (/ y (- (pow (sqrt (+ (* x x) (* y y))) 2) (pow z 2))) |
| 2.0ms | y | @ | inf | (+ y (/ (- (pow x 2) (pow z 2)) y)) |
| 1.0ms | x | @ | inf | (- (pow (sqrt (+ (* x x) (* y y))) 2) (pow z 2)) |
| 1.0ms | x | @ | 0 | (/ y (- (pow (sqrt (+ (* x x) (* y y))) 2) (pow z 2))) |
| 1.0ms | z | @ | 0 | (/ y (- (pow (sqrt (+ (* x x) (* y y))) 2) (pow z 2))) |
| 1× | batch-egg-rewrite |
| 245× | log1p-expm1-u |
| 245× | expm1-log1p-u |
| 238× | add-cube-cbrt |
| 236× | add-exp-log |
| 236× | add-log-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 473 |
| 1 | 615 | 473 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) |
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(literal 1/2 binary64) y) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) |
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) |
(/.f64 (-.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
(-.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 y y)) (*.f64 z z)) |
(+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 y y)) |
| Outputs |
|---|
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) (/.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) (-.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) |
(*.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) |
(*.f64 (cbrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) (pow.f64 (cbrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(*.f64 (sqrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) (sqrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) y))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64))) (fma.f64 y y (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) y)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64))) (-.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
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(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
(fma.f64 (hypot.f64 y x) (hypot.f64 y x) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) |
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (hypot.f64 y x)) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
(*.f64 (hypot.f64 y x) (hypot.f64 y x)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (hypot.f64 y x)) (hypot.f64 y x))) |
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (hypot.f64 y x)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (hypot.f64 y x)) (*.f64 (sqrt.f64 (hypot.f64 y x)) (hypot.f64 y x))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
(*.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (hypot.f64 y x))) (sqrt.f64 (hypot.f64 y x))) |
(*.f64 (*.f64 (hypot.f64 y x) #s(literal 1 binary64)) (hypot.f64 y x)) |
(*.f64 (*.f64 (hypot.f64 y x) (pow.f64 (cbrt.f64 (hypot.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) |
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 6 binary64)) #s(literal 1/3 binary64)) |
(sqrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 4 binary64))) |
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))) |
(cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 6 binary64))) |
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))) |
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 y x)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 y x))) #s(literal 1 binary64))) |
(fma.f64 y y (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 x x (pow.f64 y #s(literal 2 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) |
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| 1× | egg-herbie |
| 384× | fma-define |
| 370× | times-frac |
| 312× | associate-/l* |
| 297× | associate-/r* |
| 226× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1119 | 46421 |
| 1 | 2646 | 43856 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) |
(/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y) |
(/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y) |
(/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y) |
y |
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
y |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) |
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) |
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) |
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) |
(/.f64 (pow.f64 x #s(literal 2 binary64)) y) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))) |
(/.f64 (pow.f64 x #s(literal 2 binary64)) y) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))) |
(+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) |
(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) |
(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) |
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) |
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(/.f64 (pow.f64 x #s(literal 2 binary64)) y) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (pow.f64 x #s(literal 2 binary64)) y) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (pow.f64 x #s(literal 2 binary64)) y) |
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
(pow.f64 x #s(literal 2 binary64)) |
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) |
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) |
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
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(log.f64 (exp.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(exp.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
(fma.f64 (hypot.f64 y x) (hypot.f64 y x) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) |
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (hypot.f64 y x)) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
(*.f64 (hypot.f64 y x) (hypot.f64 y x)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (hypot.f64 y x)) (hypot.f64 y x))) |
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (hypot.f64 y x)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (hypot.f64 y x)) (*.f64 (sqrt.f64 (hypot.f64 y x)) (hypot.f64 y x))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
(*.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (hypot.f64 y x))) (sqrt.f64 (hypot.f64 y x))) |
(*.f64 (*.f64 (hypot.f64 y x) #s(literal 1 binary64)) (hypot.f64 y x)) |
(*.f64 (*.f64 (hypot.f64 y x) (pow.f64 (cbrt.f64 (hypot.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) |
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 6 binary64)) #s(literal 1/3 binary64)) |
(sqrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 4 binary64))) |
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))) |
(cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 6 binary64))) |
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))) |
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 y x)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 y x))) #s(literal 1 binary64))) |
(fma.f64 y y (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 x x (pow.f64 y #s(literal 2 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) |
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) |
(/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y) |
(/.f64 (-.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) |
(/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y) |
(/.f64 (-.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) |
(/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y) |
(/.f64 (-.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) |
y |
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))) |
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))) |
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))) |
y |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 y)) |
(-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) |
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) |
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) |
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) |
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(/.f64 (pow.f64 x #s(literal 2 binary64)) y) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))))) |
(/.f64 (pow.f64 x #s(literal 2 binary64)) y) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))))) |
(+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) |
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) |
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) |
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) |
(/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (/.f64 #s(literal -1 binary64) y)))) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (/.f64 #s(literal -1 binary64) y)))) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) y)))) |
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(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) |
(*.f64 (*.f64 (hypot.f64 y x) (sqrt.f64 (hypot.f64 y x))) (sqrt.f64 (hypot.f64 y x))) |
(fma.f64 x x (pow.f64 y #s(literal 2 binary64))) |
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) |
(*.f64 (*.f64 (hypot.f64 y x) #s(literal 1 binary64)) (hypot.f64 y x)) |
(fma.f64 x x (pow.f64 y #s(literal 2 binary64))) |
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) |
(*.f64 (*.f64 (hypot.f64 y x) (pow.f64 (cbrt.f64 (hypot.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 y x))) |
(fma.f64 x x (pow.f64 y #s(literal 2 binary64))) |
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) |
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) |
(fma.f64 x x (pow.f64 y #s(literal 2 binary64))) |
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 x x (pow.f64 y #s(literal 2 binary64))) |
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(fma.f64 x x (pow.f64 y #s(literal 2 binary64))) |
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 6 binary64)) #s(literal 1/3 binary64)) |
(cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 6 binary64))) |
(cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64))) |
(sqrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 4 binary64))) |
(sqrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64))) |
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))) |
(fma.f64 x x (pow.f64 y #s(literal 2 binary64))) |
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))) |
(fma.f64 x x (pow.f64 y #s(literal 2 binary64))) |
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) |
(cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 6 binary64))) |
(cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64))) |
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))) |
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) |
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))) |
(fma.f64 x x (pow.f64 y #s(literal 2 binary64))) |
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 y x)))) |
(fma.f64 x x (pow.f64 y #s(literal 2 binary64))) |
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 y x))) #s(literal 1 binary64))) |
(fma.f64 x x (pow.f64 y #s(literal 2 binary64))) |
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) |
(fma.f64 y y (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 x x (pow.f64 y #s(literal 2 binary64))) |
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) |
(fma.f64 x x (pow.f64 y #s(literal 2 binary64))) |
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) |
(fma.f64 x x (pow.f64 y #s(literal 2 binary64))) |
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(fma.f64 x x (pow.f64 y #s(literal 2 binary64))) |
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) |
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) |
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
Compiled 15264 to 2668 computations (82.5% saved)
17 alts after pruning (15 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 723 | 14 | 737 |
| Fresh | 6 | 1 | 7 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 733 | 17 | 750 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 30.3% | (pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64)) |
| 80.9% | (pow.f64 (cbrt.f64 (*.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) | |
| 35.7% | (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) | |
| ✓ | 64.6% | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| 31.0% | (/.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 y) (pow.f64 z #s(literal 2 binary64)))) | |
| 44.8% | (/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) | |
| 52.2% | (/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) | |
| ▶ | 36.3% | (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) |
| 27.0% | (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) | |
| 24.5% | (*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) y)) | |
| ▶ | 72.1% | (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
| 81.6% | (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)) (sqrt.f64 y)))) | |
| ▶ | 86.5% | (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))) |
| 57.7% | (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (/.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y))))) | |
| 49.3% | (*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))) | |
| ✓ | 36.4% | (*.f64 #s(literal 1/2 binary64) y) |
| ▶ | 33.1% | (exp.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64)))) |
Compiled 456 to 324 computations (28.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 6592 | (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
| cost-diff | 12672 | (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) y) | |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) |
| ✓ | cost-diff | 0 | (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) |
| ✓ | cost-diff | 6400 | (pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (log.f64 (*.f64 y #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 12800 | (exp.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | -12672 | (+.f64 y (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)) |
| ✓ | cost-diff | -12672 | (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))) |
| ✓ | cost-diff | 0 | (-.f64 x z) |
| ✓ | cost-diff | 0 | (+.f64 x z) |
| 955× | fma-define |
| 777× | distribute-lft-in |
| 748× | distribute-rgt-in |
| 579× | times-frac |
| 260× | associate-*r/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 633 |
| 1 | 78 | 593 |
| 2 | 184 | 589 |
| 3 | 505 | 589 |
| 4 | 1924 | 589 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))) |
#s(literal 1/2 binary64) |
(+.f64 y (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)) |
y |
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y) |
(*.f64 (+.f64 x z) (-.f64 x z)) |
(+.f64 x z) |
x |
z |
(-.f64 x z) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(exp.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64)))) |
(log.f64 (*.f64 y #s(literal 1/2 binary64))) |
(*.f64 y #s(literal 1/2 binary64)) |
y |
#s(literal 1/2 binary64) |
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64)) |
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) |
x |
(sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
#s(literal 2 binary64) |
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
y |
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) |
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(pow.f64 z #s(literal 2 binary64)) |
z |
(pow.f64 y #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) |
#s(literal 1/2 binary64) |
(+.f64 y (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)) |
(+.f64 y (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))) |
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
y |
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y) |
(*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) |
(*.f64 (+.f64 x z) (-.f64 x z)) |
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) |
(+.f64 x z) |
x |
z |
(-.f64 x z) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(exp.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) y) |
(log.f64 (*.f64 y #s(literal 1/2 binary64))) |
(log.f64 (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 y #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) y) |
y |
#s(literal 1/2 binary64) |
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) |
x |
(sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
#s(literal 2 binary64) |
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) |
y |
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) |
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) |
(*.f64 (+.f64 x z) (-.f64 x z)) |
(pow.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(pow.f64 z #s(literal 2 binary64)) |
z |
(pow.f64 y #s(literal 2 binary64)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 95.2% | (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
| accuracy | 94.9% | (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) | |
| ✓ | accuracy | 75.3% | (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) |
| accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) y) | |
| ✓ | accuracy | 99.8% | (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) |
| ✓ | accuracy | 99.8% | (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) |
| ✓ | accuracy | 99.6% | (pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (log.f64 (*.f64 y #s(literal 1/2 binary64))) |
| ✓ | accuracy | 90.8% | (exp.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 x z) (-.f64 x z)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))) |
| ✓ | accuracy | 100.0% | (+.f64 y (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)) |
| ✓ | accuracy | 84.8% | (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y) |
| 169.0ms | 256× | 0 | valid |
Compiled 181 to 30 computations (83.4% saved)
ival-mult: 10.0ms (21.8% of total)ival-pow: 10.0ms (21.8% of total)ival-div: 9.0ms (19.6% of total)ival-add: 4.0ms (8.7% of total)ival-sub: 4.0ms (8.7% of total)ival-exp: 3.0ms (6.5% of total)ival-log: 3.0ms (6.5% of total)ival-sqrt: 2.0ms (4.4% of total)const: 1.0ms (2.2% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 x z)> |
#<alt (-.f64 x z)> |
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)))> |
#<alt (+.f64 y (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))> |
#<alt (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))> |
#<alt (/.f64 #s(literal 1 binary64) y)> |
#<alt (exp.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64))))> |
#<alt (log.f64 (*.f64 y #s(literal 1/2 binary64)))> |
#<alt (*.f64 y #s(literal 1/2 binary64))> |
#<alt (pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))> |
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))> |
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))))> |
#<alt (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))> |
#<alt (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))> |
#<alt (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)> |
#<alt (*.f64 (+.f64 x z) (-.f64 x z))> |
| Outputs |
|---|
#<alt z> |
#<alt x> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))> |
#<alt x> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))> |
#<alt x> |
#<alt z> |
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))> |
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))> |
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))> |
#<alt z> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) z)> |
#<alt x> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x))))> |
#<alt x> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64))))> |
#<alt x> |
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) z))> |
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) z))> |
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) z))> |
#<alt (*.f64 #s(literal -1 binary64) z)> |
#<alt (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64)))> |
#<alt (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64)))> |
#<alt (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64)))> |
#<alt (*.f64 #s(literal -1 binary64) z)> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))> |
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)> |
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)> |
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)> |
#<alt (*.f64 #s(literal 1/2 binary64) y)> |
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))))> |
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))))> |
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))))> |
#<alt (*.f64 #s(literal 1/2 binary64) y)> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))> |
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))> |
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y)))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))> |
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))> |
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y)) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y)) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y)) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y)) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) x))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) x))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))> |
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))> |
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))> |
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y))))))> |
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y))))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) z)) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) z)) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))> |
#<alt (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)> |
#<alt (/.f64 (+.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))) y)> |
#<alt (/.f64 (+.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))) y)> |
#<alt (/.f64 (+.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))) y)> |
#<alt y> |
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))))> |
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))))> |
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))))> |
#<alt y> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))> |
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))> |
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y)))))> |
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (+.f64 (/.f64 x y) (/.f64 z y))))))> |
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (+.f64 (/.f64 x y) (/.f64 z y))))))> |
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)> |
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#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))> |
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))))> |
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (+.f64 (/.f64 x y) (/.f64 z y)))))> |
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (+.f64 (/.f64 x y) (/.f64 z y)))))> |
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y)))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y))))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y))))))> |
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y)))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) x)) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) x)) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)> |
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 x y)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 x y)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (+.f64 (/.f64 x (*.f64 y z)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (+.f64 (/.f64 x (*.f64 y z)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) z)) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))) (/.f64 x y))) z)) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))) (/.f64 x y))) z)) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))> |
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z))))> |
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 x (+.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z)))))> |
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 x (+.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z)))))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (/.f64 z x))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 z x)))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 z x)))))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (/.f64 z x))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z))) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z))) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) x))))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (+.f64 (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (+.f64 (*.f64 z (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (+.f64 (*.f64 z (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x z)) #s(literal 1 binary64)))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (+.f64 (/.f64 x z) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (+.f64 (/.f64 x z) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)))> |
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) z)) #s(literal 1 binary64)))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))) z)) #s(literal 1 binary64)))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))) z)) #s(literal 1 binary64)))> |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 35.0ms | y | @ | 0 | (log (* y 1/2)) |
| 15.0ms | y | @ | -inf | (log (* y 1/2)) |
| 6.0ms | y | @ | inf | (log (* y 1/2)) |
| 3.0ms | x | @ | 0 | (* x (sqrt (/ 1/2 y))) |
| 2.0ms | z | @ | inf | (+ y (/ (* (+ x z) (- x z)) y)) |
| 1× | batch-egg-rewrite |
| 272× | log1p-expm1-u |
| 272× | expm1-log1p-u |
| 262× | add-cube-cbrt |
| 261× | add-exp-log |
| 260× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 468 |
| 1 | 620 | 436 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x z) |
(-.f64 x z) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))) |
(+.f64 y (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
(exp.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64)))) |
(log.f64 (*.f64 y #s(literal 1/2 binary64))) |
(*.f64 y #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64)) |
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) |
(sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y) |
(*.f64 (+.f64 x z) (-.f64 x z)) |
| Outputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (+.f64 x z))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 x z))) |
(*.f64 #s(literal 1 binary64) (+.f64 x z)) |
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x z))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x z))) |
(*.f64 (sqrt.f64 (+.f64 x z)) (sqrt.f64 (+.f64 x z))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 z (-.f64 z x))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 (-.f64 x z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x z))) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (-.f64 x z)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x z))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (-.f64 x z))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x z)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (-.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 z (-.f64 z x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 x z)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (-.f64 x z))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 x x (*.f64 z (-.f64 z x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 z (-.f64 z x))))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z x)))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 z x)) |
(pow.f64 (+.f64 x z) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (+.f64 x z)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 x z)) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (+.f64 x z))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x z)))) |
(cbrt.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64))) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 x z) #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (+.f64 x z))) |
(log1p.f64 (expm1.f64 (+.f64 x z))) |
(exp.f64 (log.f64 (+.f64 x z))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x z)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) x z) |
(fma.f64 #s(literal 1 binary64) z x) |
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) z) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) z) |
(+.f64 x (neg.f64 z)) |
(+.f64 (-.f64 x z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z)) |
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 z #s(literal 1 binary64)))) (fma.f64 (neg.f64 z) #s(literal 1 binary64) (*.f64 z #s(literal 1 binary64)))) |
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) |
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (*.f64 z #s(literal 1 binary64)))) (fma.f64 (neg.f64 z) #s(literal 1 binary64) (*.f64 z #s(literal 1 binary64)))) |
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) |
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 z #s(literal 1 binary64)))) (fma.f64 (neg.f64 z) #s(literal 1 binary64) (*.f64 z #s(literal 1 binary64)))) |
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 z) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 x z)) |
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x z))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x z))) |
(*.f64 (sqrt.f64 (-.f64 x z)) (sqrt.f64 (-.f64 x z))) |
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(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) |
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 (-.f64 x z) #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 (-.f64 x z) #s(literal 3 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(fma.f64 x x (neg.f64 (pow.f64 z #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) |
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) |
| 1× | egg-herbie |
| 582× | times-frac |
| 366× | distribute-lft-in |
| 347× | distribute-rgt-in |
| 298× | *-commutative |
| 182× | sub-neg |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1337 | 38485 |
| 1 | 3465 | 35109 |
| 1× | node limit |
| Inputs |
|---|
z |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))) |
x |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64)))) |
x |
z |
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))) |
z |
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) z) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))) |
x |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))) |
x |
(+.f64 x (*.f64 #s(literal -1 binary64) z)) |
(+.f64 x (*.f64 #s(literal -1 binary64) z)) |
(+.f64 x (*.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal -1 binary64) z) |
(*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))) |
(*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))) |
(*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) z) |
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))) |
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))) |
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))))) |
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))))) |
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y)))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y)) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y)) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y)) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y)) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) x))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) x))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)))))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) z)) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) z)) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) |
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y) |
(/.f64 (+.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))) y) |
(/.f64 (+.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))) y) |
(/.f64 (+.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))) y) |
y |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))) |
y |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) |
(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))))) |
(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (+.f64 (/.f64 x y) (/.f64 z y)))))) |
(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (+.f64 (/.f64 x y) (/.f64 z y)))))) |
(/.f64 (pow.f64 x #s(literal 2 binary64)) y) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 z (*.f64 x y))))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 z (*.f64 x y))))))) |
(/.f64 (pow.f64 x #s(literal 2 binary64)) y) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) x))) x)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) x))) x)) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(+.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) |
(+.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 x y)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) |
(+.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 x y)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) |
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (+.f64 (/.f64 x (*.f64 y z)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (+.f64 (/.f64 x (*.f64 y z)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) z)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) z)) (/.f64 x y))) z)) (/.f64 #s(literal 1 binary64) y))) |
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(pow.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) |
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1 binary64))) |
(+.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) |
(+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64)))) |
(+.f64 (fma.f64 x x (neg.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(+.f64 (fma.f64 x x (neg.f64 (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (neg.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))))) |
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))))) |
(+.f64 (*.f64 (+.f64 x z) x) (*.f64 (+.f64 x z) (neg.f64 z))) |
(+.f64 (*.f64 (-.f64 x z) x) (*.f64 (-.f64 x z) z)) |
(+.f64 (*.f64 (-.f64 x z) z) (*.f64 (-.f64 x z) x)) |
(+.f64 (*.f64 x (+.f64 x z)) (*.f64 (neg.f64 z) (+.f64 x z))) |
(+.f64 (*.f64 x (-.f64 x z)) (*.f64 z (-.f64 x z))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 z (-.f64 x z)) (*.f64 x (-.f64 x z))) |
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 z #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 x x (pow.f64 z #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (pow.f64 z #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x x (pow.f64 z #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (+.f64 x z) (fma.f64 x x (*.f64 z (-.f64 z x))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (-.f64 x z) (fma.f64 x x (*.f64 z (+.f64 x z))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 x x (*.f64 z (-.f64 z x))) (fma.f64 x x (*.f64 z (+.f64 x z))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (fma.f64 x x (*.f64 z (-.f64 z x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 x x (pow.f64 z #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))) |
(pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) |
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 (-.f64 x z) #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 (-.f64 x z) #s(literal 3 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(fma.f64 x x (neg.f64 (pow.f64 z #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) |
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) |
| Outputs |
|---|
z |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x))) |
x |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 z x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 z x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 z x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
x |
z |
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))) |
z |
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 x z) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x z) #s(literal -1 binary64)) (neg.f64 z)) |
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 x z) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x z) #s(literal -1 binary64)) (neg.f64 z)) |
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 x z) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x z) #s(literal -1 binary64)) (neg.f64 z)) |
(*.f64 #s(literal -1 binary64) z) |
(neg.f64 z) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x))) |
x |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 x) (+.f64 (/.f64 z x) #s(literal -1 binary64))) |
(*.f64 x (neg.f64 (+.f64 (/.f64 z x) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 x) (+.f64 (/.f64 z x) #s(literal -1 binary64))) |
(*.f64 x (neg.f64 (+.f64 (/.f64 z x) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 x) (+.f64 (/.f64 z x) #s(literal -1 binary64))) |
(*.f64 x (neg.f64 (+.f64 (/.f64 z x) #s(literal -1 binary64)))) |
x |
(+.f64 x (*.f64 #s(literal -1 binary64) z)) |
(-.f64 x z) |
(+.f64 x (*.f64 #s(literal -1 binary64) z)) |
(-.f64 x z) |
(+.f64 x (*.f64 #s(literal -1 binary64) z)) |
(-.f64 x z) |
(*.f64 #s(literal -1 binary64) z) |
(neg.f64 z) |
(*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))) |
(*.f64 z (+.f64 (/.f64 x z) #s(literal -1 binary64))) |
(*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))) |
(*.f64 z (+.f64 (/.f64 x z) #s(literal -1 binary64))) |
(*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))) |
(*.f64 z (+.f64 (/.f64 x z) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) z) |
(neg.f64 z) |
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))) |
(*.f64 (neg.f64 z) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (neg.f64 z)) |
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))) |
(*.f64 (neg.f64 z) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (neg.f64 z)) |
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))) |
(*.f64 (neg.f64 z) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (neg.f64 z)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (-.f64 x z) (pow.f64 y #s(literal 2 binary64)))) y) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) y) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (-.f64 x z) (pow.f64 y #s(literal 2 binary64)))) y) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) y) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (-.f64 x z) (pow.f64 y #s(literal 2 binary64)))) y) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) y) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))))) |
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) (pow.f64 y #s(literal 2 binary64))))))) |
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))) |
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(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 (fma.f64 x x (*.f64 z (-.f64 z x))) (fma.f64 x x (*.f64 z (+.f64 z x)))))) |
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 x x (*.f64 z (-.f64 z x)))) (fma.f64 x x (*.f64 z (+.f64 z x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (fma.f64 x x (*.f64 z (-.f64 z x))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 (fma.f64 x x (*.f64 z (-.f64 z x))) (fma.f64 x x (*.f64 z (+.f64 z x)))))) |
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 x x (*.f64 z (-.f64 z x)))) (fma.f64 x x (*.f64 z (+.f64 z x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 x x (pow.f64 z #s(literal 2 binary64))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x x (pow.f64 z #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (-.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x x (pow.f64 z #s(literal 2 binary64)))) |
(pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 0 binary64) z)))) |
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) |
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) |
(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 0 binary64) z)))) |
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 0 binary64) z)))) |
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) |
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 0 binary64) z)))) |
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) |
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) |
(fabs.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) |
(log.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 0 binary64) z)))) |
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 0 binary64) z)))) |
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) |
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 0 binary64) z)))) |
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) |
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 (-.f64 x z) #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) (pow.f64 (-.f64 x z) #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 (-.f64 x z) #s(literal 3 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) (pow.f64 (-.f64 x z) #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 0 binary64) z)))) |
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) |
(exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 0 binary64) z)))) |
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 0 binary64) z)))) |
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) |
(fma.f64 x x (neg.f64 (pow.f64 z #s(literal 2 binary64)))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 0 binary64) z)))) |
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (*.f64 x (+.f64 x (*.f64 #s(literal 0 binary64) z)))) |
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) |
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) |
Compiled 17962 to 3640 computations (79.7% saved)
12 alts after pruning (10 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 891 | 7 | 898 |
| Fresh | 7 | 3 | 10 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 1 | 2 |
| Total | 903 | 12 | 915 |
| Status | Accuracy | Program |
|---|---|---|
| 31.0% | (/.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 y) (pow.f64 z #s(literal 2 binary64)))) | |
| ✓ | 36.3% | (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) |
| 30.4% | (*.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) x) | |
| ▶ | 27.0% | (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) |
| ▶ | 24.5% | (*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) y)) |
| 69.1% | (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 z (-.f64 x z)) y))) | |
| ▶ | 68.0% | (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 x (-.f64 x z)) y))) |
| 99.8% | (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (/.f64 (-.f64 x z) (sqrt.f64 y)) (/.f64 (+.f64 z x) (sqrt.f64 y))))) | |
| ▶ | 99.9% | (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (/.f64 (-.f64 x z) #s(literal 1 binary64)) (/.f64 (+.f64 x z) y)))) |
| ▶ | 99.9% | (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))) |
| 64.3% | (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y))) | |
| ✓ | 36.4% | (*.f64 #s(literal 1/2 binary64) y) |
Compiled 302 to 202 computations (33.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) | |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) y)) |
| ✓ | cost-diff | -6272 | (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))) |
| cost-diff | 0 | (-.f64 x z) | |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 x z) y) |
| cost-diff | 0 | (+.f64 x z) | |
| ✓ | cost-diff | -6272 | (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 x (-.f64 x z)) y))) |
| cost-diff | 0 | (-.f64 x z) | |
| ✓ | cost-diff | 0 | (*.f64 x (-.f64 x z)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x (-.f64 x z)) y) |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | (*.f64 x x) | |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) |
| cost-diff | 0 | (+.f64 x z) | |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 x z) y) |
| cost-diff | 0 | (-.f64 x z) | |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 x z) #s(literal 1 binary64)) |
| 853× | fma-define |
| 588× | unsub-neg |
| 567× | distribute-lft-in |
| 418× | distribute-rgt-in |
| 344× | sub-neg |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 722 |
| 1 | 87 | 698 |
| 2 | 210 | 698 |
| 3 | 573 | 698 |
| 4 | 1646 | 698 |
| 5 | 3953 | 698 |
| 6 | 6564 | 698 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (/.f64 (-.f64 x z) #s(literal 1 binary64)) (/.f64 (+.f64 x z) y)))) |
#s(literal 1/2 binary64) |
(+.f64 y (*.f64 (/.f64 (-.f64 x z) #s(literal 1 binary64)) (/.f64 (+.f64 x z) y))) |
y |
(*.f64 (/.f64 (-.f64 x z) #s(literal 1 binary64)) (/.f64 (+.f64 x z) y)) |
(/.f64 (-.f64 x z) #s(literal 1 binary64)) |
(-.f64 x z) |
x |
z |
#s(literal 1 binary64) |
(/.f64 (+.f64 x z) y) |
(+.f64 x z) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 x x) |
x |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 x (-.f64 x z)) y))) |
#s(literal 1/2 binary64) |
(+.f64 y (/.f64 (*.f64 x (-.f64 x z)) y)) |
y |
(/.f64 (*.f64 x (-.f64 x z)) y) |
(*.f64 x (-.f64 x z)) |
x |
(-.f64 x z) |
z |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))) |
#s(literal 1/2 binary64) |
(+.f64 y (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))) |
y |
(*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)) |
(+.f64 x z) |
x |
z |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) y)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (/.f64 (-.f64 x z) #s(literal 1 binary64)) (/.f64 (+.f64 x z) y)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) y) y)) |
#s(literal 1/2 binary64) |
(+.f64 y (*.f64 (/.f64 (-.f64 x z) #s(literal 1 binary64)) (/.f64 (+.f64 x z) y))) |
(+.f64 y (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y))) |
(fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) y) y) |
y |
(*.f64 (/.f64 (-.f64 x z) #s(literal 1 binary64)) (/.f64 (+.f64 x z) y)) |
(*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y)) |
(/.f64 (fma.f64 z (neg.f64 z) (*.f64 x x)) y) |
(/.f64 (-.f64 x z) #s(literal 1 binary64)) |
(-.f64 x z) |
(-.f64 x z) |
x |
z |
#s(literal 1 binary64) |
(/.f64 (+.f64 x z) y) |
(+.f64 x z) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) y)) |
(*.f64 x x) |
x |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 x (-.f64 x z)) y))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 x (/.f64 (-.f64 x z) y)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 (-.f64 x z) y) y)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 x y) y)) |
#s(literal 1/2 binary64) |
(+.f64 y (/.f64 (*.f64 x (-.f64 x z)) y)) |
(+.f64 y (*.f64 x (/.f64 (-.f64 x z) y))) |
(fma.f64 x (/.f64 (-.f64 x z) y) y) |
(fma.f64 (-.f64 x z) (/.f64 x y) y) |
y |
(/.f64 (*.f64 x (-.f64 x z)) y) |
(*.f64 x (/.f64 (-.f64 x z) y)) |
(*.f64 x (-.f64 x z)) |
x |
(-.f64 x z) |
z |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) y) y)) |
#s(literal 1/2 binary64) |
(+.f64 y (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))) |
(+.f64 y (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y))) |
(fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) y) y) |
y |
(*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)) |
(*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y)) |
(/.f64 (fma.f64 z (neg.f64 z) (*.f64 x x)) y) |
(+.f64 x z) |
x |
z |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) y)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 100.0% | (pow.f64 x #s(literal 4 binary64)) | |
| accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) y) | |
| ✓ | accuracy | 86.9% | (*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) y)) |
| accuracy | 79.8% | (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) | |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))) |
| ✓ | accuracy | 100.0% | (+.f64 y (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 x z) y) |
| ✓ | accuracy | 99.8% | (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 x (-.f64 x z)) y))) |
| ✓ | accuracy | 100.0% | (+.f64 y (/.f64 (*.f64 x (-.f64 x z)) y)) |
| ✓ | accuracy | 100.0% | (*.f64 x (-.f64 x z)) |
| ✓ | accuracy | 87.9% | (/.f64 (*.f64 x (-.f64 x z)) y) |
| accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) y) | |
| accuracy | 100.0% | (*.f64 x x) | |
| ✓ | accuracy | 86.9% | (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (/.f64 (-.f64 x z) #s(literal 1 binary64)) (/.f64 (+.f64 x z) y)))) |
| ✓ | accuracy | 100.0% | (+.f64 y (*.f64 (/.f64 (-.f64 x z) #s(literal 1 binary64)) (/.f64 (+.f64 x z) y))) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 x z) y) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 (-.f64 x z) #s(literal 1 binary64)) (/.f64 (+.f64 x z) y)) |
| 129.0ms | 256× | 0 | valid |
Compiled 189 to 28 computations (85.2% saved)
ival-mult: 55.0ms (68.5% of total)ival-div: 8.0ms (10% of total)ival-pow: 7.0ms (8.7% of total)ival-add: 5.0ms (6.2% of total)ival-sub: 2.0ms (2.5% of total)ival-sqrt: 2.0ms (2.5% of total)const: 1.0ms (1.2% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (-.f64 x z) #s(literal 1 binary64))> |
#<alt (/.f64 (+.f64 x z) y)> |
#<alt (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))> |
#<alt (/.f64 (*.f64 x (-.f64 x z)) y)> |
#<alt (*.f64 x (-.f64 x z))> |
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 x (-.f64 x z)) y)))> |
#<alt (/.f64 (-.f64 x z) y)> |
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))))> |
#<alt (*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) y))> |
#<alt (*.f64 (/.f64 (-.f64 x z) #s(literal 1 binary64)) (/.f64 (+.f64 x z) y))> |
#<alt (+.f64 y (*.f64 (/.f64 (-.f64 x z) #s(literal 1 binary64)) (/.f64 (+.f64 x z) y)))> |
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (/.f64 (-.f64 x z) #s(literal 1 binary64)) (/.f64 (+.f64 x z) y))))> |
#<alt (+.f64 y (/.f64 (*.f64 x (-.f64 x z)) y))> |
#<alt (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))> |
#<alt (+.f64 y (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))> |
| Outputs |
|---|
#<alt (*.f64 #s(literal -1 binary64) z)> |
#<alt (-.f64 x z)> |
#<alt (-.f64 x z)> |
#<alt (-.f64 x z)> |
#<alt x> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x))))> |
#<alt x> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64))))> |
#<alt x> |
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) z))> |
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) z))> |
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) z))> |
#<alt (*.f64 #s(literal -1 binary64) z)> |
#<alt (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64)))> |
#<alt (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64)))> |
#<alt (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64)))> |
#<alt (*.f64 #s(literal -1 binary64) z)> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))> |
#<alt (/.f64 z y)> |
#<alt (+.f64 (/.f64 x y) (/.f64 z y))> |
#<alt (+.f64 (/.f64 x y) (/.f64 z y))> |
#<alt (+.f64 (/.f64 x y) (/.f64 z y))> |
#<alt (/.f64 x y)> |
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y))))> |
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y))))> |
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y))))> |
#<alt (/.f64 x y)> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y))))> |
#<alt (/.f64 x y)> |
#<alt (+.f64 (/.f64 x y) (/.f64 z y))> |
#<alt (+.f64 (/.f64 x y) (/.f64 z y))> |
#<alt (+.f64 (/.f64 x y) (/.f64 z y))> |
#<alt (/.f64 z y)> |
#<alt (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y z))))> |
#<alt (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y z))))> |
#<alt (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y z))))> |
#<alt (/.f64 z y)> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) y))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) y))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) y))))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 x y)))> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 x y)))> |
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 x y)))> |
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)> |
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))> |
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))))> |
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))))> |
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))))> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))) (/.f64 x y))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))) (/.f64 x y))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))) (/.f64 x y))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))> |
#<alt (*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) z)))> |
#<alt (*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) z)))> |
#<alt (*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) z)))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x))))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x))))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))> |
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))> |
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))> |
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 x z)) y))> |
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)> |
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)> |
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)> |
#<alt (*.f64 #s(literal 1/2 binary64) y)> |
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))))> |
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))))> |
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))))> |
#<alt (*.f64 #s(literal 1/2 binary64) y)> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))> |
#<alt (*.f64 #s(literal 1/2 binary64) y)> |
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) y))> |
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))> |
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 x y))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 x y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 x y))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))> |
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 x y))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 1/2 binary64) (/.f64 z y))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 1/2 binary64) (/.f64 z y))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))> |
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))> |
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))> |
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))> |
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))> |
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))> |
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#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 z (*.f64 x y))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 z (*.f64 x y))))> |
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 z y)) x)) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 z y)) x)) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))> |
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))> |
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))> |
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (/.f64 y z) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z)))))> |
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (/.f64 y z) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z)))))> |
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (/.f64 y z) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z)))))> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) z)) (/.f64 x y))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) z)) (/.f64 x y))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) z)) (/.f64 x y))))> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))> |
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))))> |
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (+.f64 (/.f64 x y) (/.f64 z y)))))> |
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (+.f64 (/.f64 x y) (/.f64 z y)))))> |
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y)))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y))))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y))))))> |
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y)))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) x)) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) x)) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)> |
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 x y)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 x y)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (+.f64 (/.f64 x (*.f64 y z)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (+.f64 (/.f64 x (*.f64 y z)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) z)) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))) (/.f64 x y))) z)) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))) (/.f64 x y))) z)) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)> |
#<alt (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)> |
#<alt (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)> |
#<alt (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)> |
#<alt (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)> |
#<alt (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)> |
#<alt (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)> |
#<alt (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)> |
#<alt (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)> |
#<alt (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)> |
#<alt (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)> |
#<alt (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)> |
#<alt (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)> |
#<alt (/.f64 (+.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))) y)> |
#<alt (/.f64 (+.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))) y)> |
#<alt (/.f64 (+.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))) y)> |
#<alt y> |
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))))> |
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))))> |
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))))> |
#<alt y> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))> |
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))> |
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y)))))> |
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (+.f64 (/.f64 x y) (/.f64 z y))))))> |
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (+.f64 (/.f64 x y) (/.f64 z y))))))> |
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y)))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 z (*.f64 x y)))))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 z (*.f64 x y)))))))> |
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y)))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) x))) x)) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) x))) x)) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))> |
#<alt (+.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))> |
#<alt (+.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 x y)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))> |
#<alt (+.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 x y)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (+.f64 (/.f64 x (*.f64 y z)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (+.f64 (/.f64 x (*.f64 y z)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) z)) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) z)) (/.f64 x y))) z)) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) z)) (/.f64 x y))) z)) (/.f64 #s(literal 1 binary64) y)))> |
123 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | 0 | (* 1/2 (+ y (/ (* x (- x z)) y))) |
| 2.0ms | x | @ | 0 | (* 1/2 (+ y (* (/ (- x z) 1) (/ (+ x z) y)))) |
| 1.0ms | y | @ | inf | (/ (* x (- x z)) y) |
| 1.0ms | y | @ | 0 | (/ (* x (- x z)) y) |
| 1.0ms | z | @ | -inf | (/ (* x (- x z)) y) |
| 1× | batch-egg-rewrite |
| 249× | log1p-expm1-u |
| 249× | expm1-log1p-u |
| 248× | add-cube-cbrt |
| 245× | add-exp-log |
| 245× | add-log-exp |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 534 |
| 1 | 593 | 500 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x z) #s(literal 1 binary64)) |
(/.f64 (+.f64 x z) y) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 x (-.f64 x z)) y) |
(*.f64 x (-.f64 x z)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 x (-.f64 x z)) y))) |
(/.f64 (-.f64 x z) y) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (/.f64 (-.f64 x z) #s(literal 1 binary64)) (/.f64 (+.f64 x z) y)) |
(+.f64 y (*.f64 (/.f64 (-.f64 x z) #s(literal 1 binary64)) (/.f64 (+.f64 x z) y))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (/.f64 (-.f64 x z) #s(literal 1 binary64)) (/.f64 (+.f64 x z) y)))) |
(+.f64 y (/.f64 (*.f64 x (-.f64 x z)) y)) |
(*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)) |
(+.f64 y (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))) |
| Outputs |
|---|
(+.f64 x (neg.f64 z)) |
(+.f64 x (*.f64 (neg.f64 z) #s(literal 1 binary64))) |
(+.f64 (-.f64 x z) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z)) |
(+.f64 (-.f64 x z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z)) |
(+.f64 (-.f64 x z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z)) |
(-.f64 x z) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 x z))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 z (+.f64 x z)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 x x (*.f64 z (+.f64 x z))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 x z))) |
(*.f64 (-.f64 x z) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 x z)) |
(*.f64 (cbrt.f64 (-.f64 x z)) (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x z))) |
(*.f64 (sqrt.f64 (-.f64 x z)) (sqrt.f64 (-.f64 x z))) |
(*.f64 (neg.f64 (-.f64 x z)) #s(literal -1 binary64)) |
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(fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x z) (/.f64 y (+.f64 x z))))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 (-.f64 x z) y) y))) #s(literal 1 binary64)) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 y)) |
(pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) |
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) (/.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) (-.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(*.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) |
(*.f64 (cbrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) (pow.f64 (cbrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(*.f64 (sqrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) (sqrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) y))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64))) (fma.f64 y y (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) y)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64))) (-.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) y)) |
(pow.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))) |
(cbrt.f64 (pow.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(log1p.f64 (expm1.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(exp.f64 (log.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) y) |
(fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y) |
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 x z) y) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) y) |
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) y) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
| 1× | egg-herbie |
| 818× | times-frac |
| 773× | fma-define |
| 471× | distribute-lft-in |
| 307× | *-commutative |
| 191× | distribute-rgt-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1276 | 45700 |
| 1 | 3588 | 42675 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 #s(literal -1 binary64) z) |
(-.f64 x z) |
(-.f64 x z) |
(-.f64 x z) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))) |
x |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))) |
x |
(+.f64 x (*.f64 #s(literal -1 binary64) z)) |
(+.f64 x (*.f64 #s(literal -1 binary64) z)) |
(+.f64 x (*.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal -1 binary64) z) |
(*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))) |
(*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))) |
(*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) z) |
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))) |
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))) |
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))) |
(/.f64 z y) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 x y) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y)))) |
(/.f64 x y) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y)))) |
(/.f64 x y) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 z y) |
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y z)))) |
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y z)))) |
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y z)))) |
(/.f64 z y) |
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) |
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 x y))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 x y))) |
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 x y))) |
(/.f64 (pow.f64 x #s(literal 2 binary64)) y) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (pow.f64 x #s(literal 2 binary64)) y) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (pow.f64 x #s(literal 2 binary64)) y) |
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) |
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z)))) |
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z)))) |
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))) (/.f64 x y)))) |
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))) (/.f64 x y)))) |
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))) (/.f64 x y)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x z)) |
(*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) z))) |
(*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) z))) |
(*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) z))) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))) |
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 x z) (/.f64 y (+.f64 x z)))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x z) (/.f64 y (+.f64 x z))) #s(literal 3 binary64))) |
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(log1p.f64 (expm1.f64 (/.f64 (-.f64 x z) (/.f64 y (+.f64 x z))))) |
(exp.f64 (log.f64 (/.f64 (-.f64 x z) (/.f64 y (+.f64 x z))))) |
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(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 x z) (/.f64 y (-.f64 x z)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (/.f64 y (-.f64 x z)) (-.f64 x z))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 z (-.f64 z x))) (/.f64 y (-.f64 x z)))) |
(/.f64 (*.f64 (-.f64 x z) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y (fma.f64 x x (*.f64 z (-.f64 z x))))) |
(/.f64 (*.f64 (-.f64 x z) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y (-.f64 x z))) |
(/.f64 (*.f64 (neg.f64 (-.f64 x z)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (neg.f64 y) (fma.f64 x x (*.f64 z (-.f64 z x))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 x z)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (-.f64 x z))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 x z)) (*.f64 (fma.f64 x x (*.f64 z (-.f64 z x))) y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (-.f64 x z))) (*.f64 (fma.f64 x x (*.f64 z (-.f64 z x))) (neg.f64 y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 x z)) (*.f64 (-.f64 x z) y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 (-.f64 x z))) (*.f64 (-.f64 x z) (neg.f64 y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 y)) |
(pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) |
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) (/.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) (-.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(*.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) |
(*.f64 (cbrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) (pow.f64 (cbrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(*.f64 (sqrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) (sqrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) y))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64))) (fma.f64 y y (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) y)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64))) (-.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) y)) |
(pow.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))) |
(cbrt.f64 (pow.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(log1p.f64 (expm1.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(exp.f64 (log.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) y) |
(fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y) |
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 x z) y) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) y) |
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) y) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
| Outputs |
|---|
(*.f64 #s(literal -1 binary64) z) |
(neg.f64 z) |
(-.f64 x z) |
(-.f64 x z) |
(-.f64 x z) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) x))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x))) |
x |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 x) (+.f64 (/.f64 z x) #s(literal -1 binary64))) |
(*.f64 x (neg.f64 (+.f64 (/.f64 z x) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 x) (+.f64 (/.f64 z x) #s(literal -1 binary64))) |
(*.f64 x (neg.f64 (+.f64 (/.f64 z x) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 x) (+.f64 (/.f64 z x) #s(literal -1 binary64))) |
(*.f64 x (neg.f64 (+.f64 (/.f64 z x) #s(literal -1 binary64)))) |
x |
(+.f64 x (*.f64 #s(literal -1 binary64) z)) |
(-.f64 x z) |
(+.f64 x (*.f64 #s(literal -1 binary64) z)) |
(-.f64 x z) |
(+.f64 x (*.f64 #s(literal -1 binary64) z)) |
(-.f64 x z) |
(*.f64 #s(literal -1 binary64) z) |
(neg.f64 z) |
(*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))) |
(*.f64 z (+.f64 (/.f64 x z) #s(literal -1 binary64))) |
(*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))) |
(*.f64 z (+.f64 (/.f64 x z) #s(literal -1 binary64))) |
(*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))) |
(*.f64 z (+.f64 (/.f64 x z) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) z) |
(neg.f64 z) |
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))) |
(*.f64 (neg.f64 z) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (neg.f64 z)) |
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))) |
(*.f64 (neg.f64 z) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (neg.f64 z)) |
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))) |
(*.f64 (neg.f64 z) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (neg.f64 z)) |
(/.f64 z y) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 x y) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y)))) |
(/.f64 x y) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 z) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y)) (/.f64 #s(literal -1 binary64) y)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 z) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y)) (/.f64 #s(literal -1 binary64) y)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 z) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y)) (/.f64 #s(literal -1 binary64) y)))) |
(/.f64 x y) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 z y) |
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y z)))) |
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 z y)))) |
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y z)))) |
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 z y)))) |
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y z)))) |
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 z y)))) |
(/.f64 z y) |
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (neg.f64 z) (-.f64 (/.f64 (neg.f64 x) (*.f64 z y)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 z (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 z y)) (/.f64 #s(literal -1 binary64) y)))) |
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (neg.f64 z) (-.f64 (/.f64 (neg.f64 x) (*.f64 z y)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 z (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 z y)) (/.f64 #s(literal -1 binary64) y)))) |
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (neg.f64 z) (-.f64 (/.f64 (neg.f64 x) (*.f64 z y)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 z (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 z y)) (/.f64 #s(literal -1 binary64) y)))) |
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(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) |
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(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) y)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) y)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) y)) |
(pow.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y) |
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(pow.f64 (cbrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64)) |
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y) |
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(pow.f64 (pow.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y) |
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(pow.f64 (sqrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 2 binary64)) |
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y) |
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(sqrt.f64 (pow.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64))) |
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y) #s(literal 2 binary64))) |
(fabs.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) |
(log.f64 (exp.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y) |
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))) |
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y) |
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(cbrt.f64 (pow.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64))) |
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y) |
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(expm1.f64 (log1p.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y))) |
(log1p.f64 (expm1.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y) |
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(exp.f64 (log.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) |
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y) |
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(exp.f64 (*.f64 (log.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1 binary64))) |
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y) |
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(fma.f64 #s(literal 1 binary64) y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y) |
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) y) |
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y) |
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y) |
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y) |
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 x z) y) |
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) y) |
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y) |
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y) |
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) y) |
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y) |
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y) |
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) |
Compiled 25295 to 4786 computations (81.1% saved)
16 alts after pruning (12 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1256 | 11 | 1267 |
| Fresh | 4 | 1 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1263 | 16 | 1279 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 36.3% | (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) |
| 13.8% | (*.f64 (*.f64 x (/.f64 z y)) #s(literal -1/2 binary64)) | |
| ✓ | 27.0% | (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) |
| ✓ | 24.5% | (*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) y)) |
| 57.0% | (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)) | |
| 99.9% | (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 x z) (/.f64 y (+.f64 x z))))) | |
| 99.9% | (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (+.f64 x z) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) y)))) | |
| 86.4% | (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (-.f64 x z) (+.f64 x z)))))) | |
| 99.8% | (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 x z)))))) | |
| 73.6% | (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (-.f64 x z) (/.f64 x y)))) | |
| 99.8% | (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y))))) | |
| 79.8% | (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 z (/.f64 (-.f64 x z) y)))) | |
| 64.3% | (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y))) | |
| 39.2% | (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 x y))) | |
| ✓ | 36.4% | (*.f64 #s(literal 1/2 binary64) y) |
| 10.8% | (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y)) |
Compiled 780 to 320 computations (59% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y)) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 x (/.f64 z y)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 x y))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 z (/.f64 (-.f64 x z) y)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (-.f64 x z) (/.f64 x y)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 x (-.f64 x z)) y))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 z (-.f64 x z)) y))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 x z) (/.f64 y (+.f64 x z))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (/.f64 (-.f64 x z) #s(literal 1 binary64)) (/.f64 (+.f64 x z) y)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (-.f64 x z) (+.f64 x z)))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (+.f64 x z) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) y)))) |
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 x z)))))) |
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 y) (pow.f64 z #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)) |
(exp.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64)))) |
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) y)) |
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64)) |
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) |
(*.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) x) |
(/.f64 (-.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (/.f64 (-.f64 x z) (sqrt.f64 y)) (/.f64 (+.f64 z x) (sqrt.f64 y))))) |
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) |
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))) |
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)) (sqrt.f64 y)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))))) y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (/.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y))))) |
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64)) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (/.f64 (-.f64 x z) #s(literal 1 binary64)) (/.f64 (+.f64 x z) y)))) |
6 calls:
| 57.0ms | (*.f64 x x) |
| 22.0ms | y |
| 13.0ms | x |
| 13.0ms | (*.f64 z z) |
| 12.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| 99.9% | 1 | (*.f64 x x) |
| 99.9% | 1 | (*.f64 z z) |
Compiled 42 to 28 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y)) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 x (/.f64 z y)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 x y))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 z (/.f64 (-.f64 x z) y)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (-.f64 x z) (/.f64 x y)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 x (-.f64 x z)) y))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 z (-.f64 x z)) y))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 x z) (/.f64 y (+.f64 x z))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y))))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))) |
4 calls:
| 5.0ms | x |
| 5.0ms | z |
| 5.0ms | (*.f64 x x) |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (*.f64 x x) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y)) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 x (/.f64 z y)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 x y))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 z (/.f64 (-.f64 x z) y)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (-.f64 x z) (/.f64 x y)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 x (-.f64 x z)) y))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 z (-.f64 x z)) y))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 z (/.f64 (-.f64 x z) y)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (-.f64 x z) (/.f64 x y)))) |
4 calls:
| 5.0ms | y |
| 4.0ms | x |
| 4.0ms | z |
| 4.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.7% | 2 | x |
| 90.8% | 4 | y |
| 92.1% | 3 | z |
| 92.7% | 2 | (*.f64 x x) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y)) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 x (/.f64 z y)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 x y))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 z (/.f64 (-.f64 x z) y)))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 z (/.f64 (-.f64 x z) y)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y))) |
3 calls:
| 4.0ms | z |
| 3.0ms | x |
| 3.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.9% | 3 | z |
| 89.7% | 2 | x |
| 89.7% | 2 | (*.f64 x x) |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y)) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 x (/.f64 z y)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 x y))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y))) |
(*.f64 #s(literal 1/2 binary64) y) |
4 calls:
| 3.0ms | z |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.2% | 2 | z |
| 79.8% | 2 | y |
| 73.7% | 4 | x |
| 69.0% | 2 | (*.f64 x x) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y)) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 x (/.f64 z y)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 x y))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 x y))) |
(*.f64 #s(literal 1/2 binary64) y) |
4 calls:
| 3.0ms | z |
| 3.0ms | y |
| 3.0ms | x |
| 2.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.6% | 2 | (*.f64 x x) |
| 46.9% | 2 | z |
| 59.6% | 2 | x |
| 60.1% | 2 | y |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y)) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 x (/.f64 z y)) #s(literal -1/2 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 x (/.f64 z y)) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) y) |
3 calls:
| 3.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.7% | 2 | x |
| 51.7% | 2 | (*.f64 x x) |
| 53.4% | 3 | y |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y)) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) |
3 calls:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.7% | 2 | x |
| 51.7% | 2 | (*.f64 x x) |
| 51.0% | 2 | y |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y)) |
| Outputs |
|---|
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y)) |
(*.f64 #s(literal 1/2 binary64) y) |
3 calls:
| 3.0ms | x |
| 2.0ms | z |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.5% | 2 | z |
| 41.8% | 2 | y |
| 36.4% | 1 | x |
Compiled 12 to 9 computations (25% saved)
Total -0.0b remaining (-0.1%)
Threshold costs -0b (-0.1%)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) y) |
2 calls:
| 2.0ms | z |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.4% | 1 | z |
| 36.4% | 1 | y |
Compiled 8 to 6 computations (25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.6084077106570697e+107 | 2.1168867984197605e+116 |
Compiled 24 to 16 computations (33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.631925430040938e+71 | 5.882167602202225e+72 |
Compiled 24 to 16 computations (33.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 3.691049894499759e+168 | 6.295803437813958e+169 |
| 9.0ms | 112× | 0 | valid |
Compiled 178 to 128 computations (28.1% saved)
ival-mult: 3.0ms (58.6% of total)ival-sub: 1.0ms (19.5% of total)ival-div: 1.0ms (19.5% of total)ival-add: 1.0ms (19.5% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 2.9450827102222063e+66 | 8.498722698413779e+69 |
| 11.0ms | 128× | 0 | valid |
Compiled 184 to 136 computations (26.1% saved)
ival-mult: 4.0ms (67.7% of total)ival-sub: 1.0ms (16.9% of total)ival-div: 1.0ms (16.9% of total)ival-add: 1.0ms (16.9% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 2.9450827102222063e+66 | 8.498722698413779e+69 |
| 13.0ms | 2.504798087034876e-245 | 4.313308114156511e-244 |
| 20.0ms | 240× | 0 | valid |
Compiled 322 to 240 computations (25.5% saved)
ival-mult: 7.0ms (57.7% of total)ival-sub: 2.0ms (16.5% of total)ival-div: 2.0ms (16.5% of total)ival-add: 1.0ms (8.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.631925430040938e+71 | 5.882167602202225e+72 |
Compiled 24 to 16 computations (33.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.0209335272480618e-113 | 1.2265505566376109e-111 |
| 9.0ms | 112× | 0 | valid |
Compiled 150 to 114 computations (24% saved)
ival-mult: 3.0ms (59.2% of total)ival-sub: 1.0ms (19.7% of total)ival-div: 1.0ms (19.7% of total)ival-add: 1.0ms (19.7% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 18× | *-commutative |
| 7× | +-commutative |
| 3× | 1-exp |
| 2× | sub-neg |
| 1× | /-rgt-identity |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 672 |
| 1 | 102 | 672 |
| 2 | 106 | 672 |
| 3 | 108 | 672 |
| 4 | 109 | 672 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (/.f64 (-.f64 x z) #s(literal 1 binary64)) (/.f64 (+.f64 x z) y)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))) |
(if (<=.f64 (*.f64 x x) #s(literal 500000000000000016999495856501412297471987359856449023856715357418937635861600416646370808190366722960654336 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 z (/.f64 (-.f64 x z) y)))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (-.f64 x z) (/.f64 x y))))) |
(if (<=.f64 (*.f64 x x) #s(literal 499999999999999971900905474397285512028612064510275265772061946028228608 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 z (/.f64 (-.f64 x z) y)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)))) |
(if (<=.f64 y #s(literal 3700000000000000090479029137113933370126840755938379805847408957348326835877569589259162752443304424579241306191470221710292163671897078678981066768658044545570449653760 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y))) (*.f64 #s(literal 1/2 binary64) y)) |
(if (<=.f64 y #s(literal 38000000000000002037837297717225532438543058589860404488408022384640 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 x y))) (*.f64 #s(literal 1/2 binary64) y)) |
(if (<=.f64 y #s(literal 6457665675464651/61501577861568104283923723841611832207865934590357532972465351809127477760976746151505184346770074671911354525161107149776344601938347976800349887747194103071045442949864673913541659442291879217725274258783458313456274137454056383441015716964266784080483319808 binary64)) (*.f64 (*.f64 x (/.f64 z y)) #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 9500000000000000509459324429306383109635764647465101122102005596160 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal 1/2 binary64) y))) |
(if (<=.f64 (*.f64 x x) #s(literal 499999999999999971900905474397285512028612064510275265772061946028228608 binary64)) (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))) |
(if (<=.f64 y #s(literal 6585090523536935/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) y) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (/.f64 (-.f64 x z) #s(literal 1 binary64)) (/.f64 (+.f64 x z) y)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))) |
(if (<=.f64 (*.f64 x x) #s(literal 500000000000000016999495856501412297471987359856449023856715357418937635861600416646370808190366722960654336 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 z (/.f64 (-.f64 x z) y)))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (-.f64 x z) (/.f64 x y))))) |
(if (<=.f64 (*.f64 x x) #s(literal 499999999999999971900905474397285512028612064510275265772061946028228608 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 z (/.f64 (-.f64 x z) y)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)))) |
(if (<=.f64 (*.f64 x x) #s(literal 499999999999999971900905474397285512028612064510275265772061946028228608 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 z (/.f64 (-.f64 x z) y)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y)))) |
(if (<=.f64 y #s(literal 3700000000000000090479029137113933370126840755938379805847408957348326835877569589259162752443304424579241306191470221710292163671897078678981066768658044545570449653760 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y))) (*.f64 #s(literal 1/2 binary64) y)) |
(if (<=.f64 y #s(literal 3700000000000000090479029137113933370126840755938379805847408957348326835877569589259162752443304424579241306191470221710292163671897078678981066768658044545570449653760 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y))) (*.f64 #s(literal 1/2 binary64) y)) |
(if (<=.f64 y #s(literal 38000000000000002037837297717225532438543058589860404488408022384640 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 x y))) (*.f64 #s(literal 1/2 binary64) y)) |
(if (<=.f64 y #s(literal 6457665675464651/61501577861568104283923723841611832207865934590357532972465351809127477760976746151505184346770074671911354525161107149776344601938347976800349887747194103071045442949864673913541659442291879217725274258783458313456274137454056383441015716964266784080483319808 binary64)) (*.f64 (*.f64 x (/.f64 z y)) #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 9500000000000000509459324429306383109635764647465101122102005596160 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal 1/2 binary64) y))) |
(if (<=.f64 (*.f64 x x) #s(literal 499999999999999971900905474397285512028612064510275265772061946028228608 binary64)) (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))) |
(if (<=.f64 y #s(literal 6585090523536935/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) y) |
| 991× | fma-neg |
| 818× | times-frac |
| 773× | fma-define |
| 684× | div-sub |
| 582× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 468 |
| 1 | 620 | 436 |
| 0 | 733 | 30256 |
| 1 | 1717 | 28132 |
| 2 | 7672 | 28090 |
| 0 | 35 | 473 |
| 1 | 615 | 473 |
| 0 | 47 | 672 |
| 1 | 164 | 660 |
| 2 | 533 | 660 |
| 3 | 2454 | 660 |
| 4 | 7758 | 660 |
| 0 | 1337 | 38485 |
| 1 | 3465 | 35109 |
| 0 | 1276 | 45700 |
| 1 | 3588 | 42675 |
| 1× | fuel |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 878 to 299 computations (65.9% saved)
(negabs y)
Compiled 906 to 456 computations (49.7% saved)
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