
Time bar (total: 4.9s)
| 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% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 7 to 6 computations (14.3% saved)
| 639.0ms | 8 256× | 0 | valid |
ival-div: 82.0ms (50.7% of total)ival-mult: 70.0ms (43.3% of total)ival-true: 5.0ms (3.1% of total)ival-assert: 3.0ms (1.9% of total)adjust: 2.0ms (1.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 24 | 0 | - | 1 | (-2.767956042729791e-207 1.764887074101632e-159) | (/.f64 x (*.f64 y y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 x (*.f64 y y)) | n/o | 12 | 0 |
| ↳ | (*.f64 y y) | overflow | 56 | |
/.f64 | (/.f64 x (*.f64 y y)) | n/u | 11 | 0 |
| ↳ | (*.f64 y y) | underflow | 57 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 23 | 1 |
| - | 0 | 232 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 23 | 0 | 1 |
| - | 0 | 0 | 232 |
| number | freq |
|---|---|
| 0 | 233 |
| 1 | 23 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 49.0ms | 512× | 0 | valid |
Compiled 29 to 16 computations (44.8% saved)
ival-mult: 4.0ms (51.8% of total)ival-div: 3.0ms (38.9% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 27 |
| 1 | 38 | 27 |
| 2 | 92 | 27 |
| 3 | 139 | 27 |
| 4 | 179 | 27 |
| 0 | 4 | 5 |
| 0 | 6 | 5 |
| 1 | 12 | 5 |
| 2 | 29 | 5 |
| 3 | 55 | 5 |
| 4 | 77 | 5 |
| 5 | 90 | 5 |
| 6 | 98 | 5 |
| 0 | 98 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (*.f64 y y)) |
| Outputs |
|---|
(/.f64 x (*.f64 y y)) |
(abs y)
(negabs x)
Compiled 5 to 4 computations (20% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 91.5% | (/.f64 x (*.f64 y y)) |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 x (*.f64 y y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 10 |
| 0 | 6 | 10 |
| 1 | 12 | 10 |
| 2 | 29 | 10 |
| 3 | 55 | 10 |
| 4 | 77 | 10 |
| 5 | 90 | 10 |
| 6 | 98 | 10 |
| 0 | 98 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
| Outputs |
|---|
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 5.419409933243026 | (/.f64 x (*.f64 y y)) |
| 23.0ms | 256× | 0 | valid |
Compiled 12 to 6 computations (50% saved)
ival-div: 2.0ms (55.7% of total)ival-mult: 2.0ms (55.7% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 x (*.f64 y y)) |
(*.f64 y y) |
| Outputs |
|---|
(/ x (pow y 2)) |
(pow y 2) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | ((/ x (* y y)) (* y y)) |
| 1.0ms | x | @ | inf | ((/ x (* y y)) (* y y)) |
| 1.0ms | x | @ | 0 | ((/ x (* y y)) (* y y)) |
| 1.0ms | x | @ | -inf | ((/ x (* y y)) (* y y)) |
| 1.0ms | y | @ | inf | ((/ x (* y y)) (* y y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 1 | 8 | 8 |
| 2 | 16 | 8 |
| 3 | 33 | 8 |
| 4 | 59 | 8 |
| 5 | 81 | 8 |
| 6 | 94 | 8 |
| 7 | 102 | 8 |
| 0 | 102 | 8 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ x (pow y 2)) |
(pow y 2) |
| Outputs |
|---|
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 8 |
| 0 | 6 | 8 |
| 1 | 17 | 8 |
| 2 | 57 | 8 |
| 3 | 165 | 8 |
| 4 | 376 | 8 |
| 5 | 1539 | 8 |
| 0 | 8775 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (*.f64 y y)) |
(*.f64 y y) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (/.f64 (neg.f64 x) (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (*.f64 #s(literal 4 binary64) (log.f64 y))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))))) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (*.f64 #s(literal 4 binary64) (log.f64 y))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))))) |
(/.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y)) |
(/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64))) |
(/.f64 (/.f64 x y) y) |
(/.f64 (neg.f64 x) (*.f64 y y)) |
(/.f64 x (*.f64 y y)) |
(neg.f64 (/.f64 (/.f64 x y) y)) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 4 binary64)) (pow.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 4 binary64)) y) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/8 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 y #s(literal 1/8 binary64)) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/8 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 y #s(literal 3/8 binary64)) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 7/4 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (E.f64) (*.f64 #s(literal 3/2 binary64) (log.f64 y))) (sqrt.f64 y)) |
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (pow.f64 y #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 y #s(literal 7/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (pow.f64 y #s(literal 5/4 binary64))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y)) |
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 (pow.f64 y #s(literal 7/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 7/4 binary64))) |
(*.f64 (sqrt.f64 y) (pow.f64 (E.f64) (*.f64 #s(literal 3/2 binary64) (log.f64 y)))) |
(*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 y (pow.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 4 binary64))) |
(*.f64 y y) |
(pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (E.f64) (E.f64)) (log.f64 y)) |
(pow.f64 (pow.f64 (E.f64) #s(literal 4 binary64)) (log.f64 (sqrt.f64 y))) |
(pow.f64 (pow.f64 (E.f64) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 y))) |
(pow.f64 (pow.f64 (E.f64) #s(literal 1 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) #s(literal 1/2 binary64)) (log.f64 y)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) #s(literal 1 binary64)) (log.f64 (sqrt.f64 y))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 y))) |
(pow.f64 (pow.f64 (E.f64) #s(literal 2 binary64)) (log.f64 y)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 y))) |
(pow.f64 (-.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))) (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 y #s(literal 16 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 y))) |
(pow.f64 (E.f64) (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 (sqrt.f64 y))) |
(pow.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 y)) #s(literal 4 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y)) |
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 8 binary64)) |
(pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) #s(literal 2 binary64)) (pow.f64 y #s(literal -2 binary64))) (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (sinh.f64 (log.f64 y)) #s(literal 4 binary64)) (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 (sinh.f64 (log.f64 y)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 2 binary64))) (neg.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64)))))) (*.f64 (-.f64 (pow.f64 (sinh.f64 (log.f64 y)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (sinh.f64 (log.f64 y)) #s(literal 4 binary64)) (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 4 binary64))) #s(literal -2 binary64)) (*.f64 (-.f64 (pow.f64 (sinh.f64 (log.f64 y)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 2 binary64))) (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64))))) (*.f64 (-.f64 (pow.f64 (sinh.f64 (log.f64 y)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 2 binary64))) #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 y)) #s(literal 6 binary64)) (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 6 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 y)) #s(literal 4 binary64)) (-.f64 (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (cosh.f64 (log.f64 y)) (sinh.f64 (log.f64 y))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64)))))) (*.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 y)) #s(literal 4 binary64)) (-.f64 (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (cosh.f64 (log.f64 y)) (sinh.f64 (log.f64 y))) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 y)) #s(literal 6 binary64)) (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 6 binary64))) #s(literal -2 binary64)) (*.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 y)) #s(literal 4 binary64)) (-.f64 (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (cosh.f64 (log.f64 y)) (sinh.f64 (log.f64 y))) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64))))) (*.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 y)) #s(literal 4 binary64)) (-.f64 (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (cosh.f64 (log.f64 y)) (sinh.f64 (log.f64 y))) #s(literal 2 binary64)))) #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64)))))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64)))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 4 binary64) (log.f64 y))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))))) (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 4 binary64) (log.f64 y))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))))) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)))) (pow.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 4 binary64) (log.f64 y))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 y y (pow.f64 y #s(literal -2 binary64))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 y y (pow.f64 y #s(literal -2 binary64))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64)))) (-.f64 (pow.f64 (sinh.f64 (log.f64 y)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (sinh.f64 (log.f64 y)) #s(literal 4 binary64)) (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 4 binary64))))) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (sinh.f64 (log.f64 y)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 2 binary64))))) |
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(/.f64 y (exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 1 binary64)))) |
(/.f64 y (exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (sqrt.f64 y))))) |
(/.f64 y (pow.f64 (E.f64) (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))) |
(/.f64 y (pow.f64 (E.f64) (*.f64 #s(literal -1 binary64) (log.f64 y)))) |
(/.f64 y (pow.f64 (E.f64) (*.f64 (neg.f64 (log.f64 y)) #s(literal 1 binary64)))) |
(/.f64 y (pow.f64 (E.f64) (*.f64 #s(literal -2 binary64) (log.f64 (sqrt.f64 y))))) |
(neg.f64 (*.f64 y y)) |
(fma.f64 (neg.f64 (sinh.f64 (neg.f64 (log.f64 y)))) (neg.f64 (sinh.f64 (neg.f64 (log.f64 y)))) (+.f64 (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 2 binary64)) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))) |
(fma.f64 (neg.f64 (fabs.f64 (sinh.f64 (log.f64 y)))) (neg.f64 (fabs.f64 (sinh.f64 (log.f64 y)))) (+.f64 (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 2 binary64)) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))) |
(fma.f64 (fabs.f64 (fabs.f64 (sinh.f64 (log.f64 y)))) (fabs.f64 (fabs.f64 (sinh.f64 (log.f64 y)))) (+.f64 (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 2 binary64)) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))) |
(fma.f64 (-.f64 y (/.f64 #s(literal 1 binary64) y)) (cosh.f64 (log.f64 y)) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))) |
(fma.f64 (sinh.f64 (neg.f64 (log.f64 y))) (sinh.f64 (neg.f64 (log.f64 y))) (+.f64 (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 2 binary64)) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))) |
(fma.f64 (fabs.f64 (sinh.f64 (log.f64 y))) (fabs.f64 (sinh.f64 (log.f64 y))) (+.f64 (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 2 binary64)) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))) |
(fma.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 (log.f64 y)) (sinh.f64 (log.f64 y))) (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))))) |
(fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (sinh.f64 (log.f64 (sqrt.f64 y))) (cosh.f64 (log.f64 (sqrt.f64 y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 2 binary64)) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 (cosh.f64 (log.f64 y)) (sinh.f64 (log.f64 y))) #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))) |
(fma.f64 (cosh.f64 (log.f64 y)) y (*.f64 (sinh.f64 (log.f64 y)) y)) |
(fma.f64 (sinh.f64 (log.f64 y)) (sinh.f64 (log.f64 y)) (+.f64 (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 2 binary64)) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) (cosh.f64 (log.f64 y))) (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))))) |
(fma.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (cosh.f64 (log.f64 y)) (sinh.f64 (log.f64 y)))) (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (log.f64 y)) (sinh.f64 (log.f64 y))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))) |
(fma.f64 y (cosh.f64 (log.f64 y)) (*.f64 y (sinh.f64 (log.f64 y)))) |
(sqrt.f64 (pow.f64 y #s(literal 4 binary64))) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) #s(literal 2 binary64)) (pow.f64 y #s(literal -2 binary64))) (/.f64 (pow.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) #s(literal 2 binary64)) (pow.f64 y #s(literal -2 binary64)))) |
(-.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))) |
(fabs.f64 (-.f64 (/.f64 (pow.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) #s(literal 2 binary64)) (pow.f64 y #s(literal -2 binary64))) (/.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) #s(literal 2 binary64)) (pow.f64 y #s(literal -2 binary64))))) |
(fabs.f64 (-.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))))) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (E.f64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 4 binary64))) (log.f64 (sqrt.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 8 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (+.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (pow.f64 (sinh.f64 (log.f64 y)) #s(literal 2 binary64))) (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 2 binary64))) |
(+.f64 (*.f64 (cosh.f64 (log.f64 y)) y) (*.f64 (sinh.f64 (log.f64 y)) y)) |
(+.f64 (*.f64 y (cosh.f64 (log.f64 y))) (*.f64 y (sinh.f64 (log.f64 y)))) |
(+.f64 (neg.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 4 binary64) (log.f64 y))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))))) (/.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 4 binary64) (log.f64 y))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))))))) |
(+.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))))) |
(+.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))) (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))) |
(+.f64 (pow.f64 (sinh.f64 (log.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 2 binary64)) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))) |
(+.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))) |
(+.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
Compiled 3 584 to 629 computations (82.4% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 168 | 5 | 173 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 168 | 6 | 174 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.9% | (/.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
| ▶ | 95.0% | (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y)) |
| ▶ | 99.8% | (/.f64 (/.f64 x y) y) |
| ▶ | 91.5% | (/.f64 x (/.f64 (sqrt.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))) |
| ✓ | 91.5% | (/.f64 x (*.f64 y y)) |
| ▶ | 91.5% | (*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
Compiled 95 to 76 computations (20% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 y #s(literal 3/2 binary64)) | |
| cost-diff | 0 | (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) | |
| cost-diff | 0 | (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))) | |
| cost-diff | 5 | (/.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) | |
| cost-diff | 0 | (sqrt.f64 y) | |
| cost-diff | 0 | (pow.f64 y #s(literal 3/2 binary64)) | |
| cost-diff | 0 | (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) | |
| cost-diff | 0 | (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y)) | |
| cost-diff | 0 | (pow.f64 y #s(literal -2 binary64)) | |
| cost-diff | 0 | (*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64))) | |
| cost-diff | 2 | (/.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 x (/.f64 (sqrt.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 2 | (*.f64 (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 2 | (sqrt.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 2 | (/.f64 (sqrt.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (/.f64 (/.f64 x y) y) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 127 |
| 0 | 42 | 110 |
| 1 | 68 | 100 |
| 2 | 139 | 100 |
| 3 | 246 | 100 |
| 4 | 448 | 100 |
| 5 | 961 | 100 |
| 6 | 1850 | 100 |
| 7 | 2270 | 100 |
| 8 | 2400 | 100 |
| 9 | 2431 | 100 |
| 10 | 2436 | 100 |
| 11 | 2436 | 100 |
| 12 | 2444 | 100 |
| 13 | 2452 | 100 |
| 14 | 2452 | 100 |
| 15 | 2662 | 100 |
| 16 | 2908 | 100 |
| 17 | 2908 | 100 |
| 0 | 2908 | 100 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
(/.f64 x (/.f64 (sqrt.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))) |
x |
(/.f64 (sqrt.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(sqrt.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) y) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(/.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(pow.f64 y #s(literal -2 binary64)) |
y |
#s(literal -2 binary64) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y)) |
(/.f64 x (pow.f64 y #s(literal 3/2 binary64))) |
x |
(pow.f64 y #s(literal 3/2 binary64)) |
y |
#s(literal 3/2 binary64) |
(sqrt.f64 y) |
(/.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
(/.f64 x (pow.f64 y #s(literal 3/2 binary64))) |
x |
(pow.f64 y #s(literal 3/2 binary64)) |
y |
#s(literal 3/2 binary64) |
(pow.f64 y #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
(/.f64 x (/.f64 (sqrt.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 x (*.f64 (fabs.f64 y) y)) |
x |
(/.f64 (sqrt.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (fabs.f64 y) y) |
(sqrt.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64))) |
(fabs.f64 y) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) y) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) x) |
(/.f64 x #s(literal 1 binary64)) |
x |
x |
#s(literal 1 binary64) |
(pow.f64 y #s(literal -2 binary64)) |
y |
#s(literal -2 binary64) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y)) |
(/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64))) |
(/.f64 x (pow.f64 y #s(literal 3/2 binary64))) |
x |
(pow.f64 y #s(literal 3/2 binary64)) |
y |
#s(literal 3/2 binary64) |
(sqrt.f64 y) |
(/.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
(/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64))) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 3/2 binary64))) |
(/.f64 x (pow.f64 y #s(literal 3/2 binary64))) |
x |
(pow.f64 y #s(literal 3/2 binary64)) |
y |
#s(literal 3/2 binary64) |
(pow.f64 y #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 y #s(literal 1/4 binary64)) | |
| accuracy | 0.13671875 | (/.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) | |
| accuracy | 0.17025375976844204 | (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))) | |
| accuracy | 7.027867925319051 | (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) | |
| accuracy | 0.0 | (pow.f64 y #s(literal 3/2 binary64)) | |
| accuracy | 0.0 | (sqrt.f64 y) | |
| accuracy | 0.1953125 | (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y)) | |
| accuracy | 7.027867925319051 | (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) | |
| accuracy | 0.0 | (pow.f64 y #s(literal -2 binary64)) | |
| accuracy | 0.0 | (/.f64 x #s(literal 1 binary64)) | |
| accuracy | 5.449613195898119 | (*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64))) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.1640625 | (/.f64 (sqrt.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 5.419409933243026 | (/.f64 x (/.f64 (sqrt.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))) | |
| accuracy | 26.380963523267493 | (sqrt.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.1015625 | (/.f64 (/.f64 x y) y) |
| 81.0ms | 256× | 0 | valid |
Compiled 129 to 26 computations (79.8% saved)
ival-div: 43.0ms (64.6% of total)ival-pow: 12.0ms (18% of total)ival-mult: 7.0ms (10.5% of total)ival-sqrt: 3.0ms (4.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(sqrt.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(/.f64 x (/.f64 (sqrt.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 x #s(literal 1 binary64)) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(pow.f64 y #s(literal -2 binary64)) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y)) |
(/.f64 x (pow.f64 y #s(literal 3/2 binary64))) |
(pow.f64 y #s(literal 3/2 binary64)) |
(sqrt.f64 y) |
(/.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
(*.f64 y y) |
(pow.f64 y #s(literal 1/4 binary64)) |
| Outputs |
|---|
(/ x (pow y 2)) |
(/ x y) |
x |
(* x (sqrt (/ 1 (pow y 3)))) |
(* (pow (/ 1 (pow y 7)) 1/4) x) |
(pow y 2) |
y |
(/ 1 (pow y 2)) |
(sqrt (pow y 3)) |
(sqrt y) |
(pow (* 1 y) 1/4) |
(* -1 (pow y 2)) |
(* -1 y) |
(* -1 (/ x (pow y 2))) |
(/ x (* (pow y 2) (pow (sqrt -1) 2))) |
(* -1 (* x (sqrt (/ 1 (pow y 3))))) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(/ x (* (pow y 2) (sqrt -1))) |
(/ (* x (exp (* 1/4 (+ (log -1) (* 7 (log (/ -1 y))))))) (sqrt -1)) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 79.0ms | x | @ | 0 | ((/ (/ x y) y) (/ x y) (/ (sqrt (* (* y y) 1)) (/ 1 y)) (sqrt (* (* y y) 1)) (* (* y y) 1) (/ x (/ (sqrt (* (* y y) 1)) (/ 1 y))) (/ x 1) (* (/ x 1) (pow y -2)) (pow y -2) (/ (/ x (pow y 3/2)) (sqrt y)) (/ x (pow y 3/2)) (pow y 3/2) (sqrt y) (/ (/ (/ x (pow y 3/2)) (pow y 1/4)) (pow y 1/4)) (/ (/ x (pow y 3/2)) (pow y 1/4)) (* y y) (pow y 1/4)) |
| 55.0ms | y | @ | -inf | ((/ (/ x y) y) (/ x y) (/ (sqrt (* (* y y) 1)) (/ 1 y)) (sqrt (* (* y y) 1)) (* (* y y) 1) (/ x (/ (sqrt (* (* y y) 1)) (/ 1 y))) (/ x 1) (* (/ x 1) (pow y -2)) (pow y -2) (/ (/ x (pow y 3/2)) (sqrt y)) (/ x (pow y 3/2)) (pow y 3/2) (sqrt y) (/ (/ (/ x (pow y 3/2)) (pow y 1/4)) (pow y 1/4)) (/ (/ x (pow y 3/2)) (pow y 1/4)) (* y y) (pow y 1/4)) |
| 35.0ms | y | @ | 0 | ((/ (/ x y) y) (/ x y) (/ (sqrt (* (* y y) 1)) (/ 1 y)) (sqrt (* (* y y) 1)) (* (* y y) 1) (/ x (/ (sqrt (* (* y y) 1)) (/ 1 y))) (/ x 1) (* (/ x 1) (pow y -2)) (pow y -2) (/ (/ x (pow y 3/2)) (sqrt y)) (/ x (pow y 3/2)) (pow y 3/2) (sqrt y) (/ (/ (/ x (pow y 3/2)) (pow y 1/4)) (pow y 1/4)) (/ (/ x (pow y 3/2)) (pow y 1/4)) (* y y) (pow y 1/4)) |
| 29.0ms | x | @ | inf | ((/ (/ x y) y) (/ x y) (/ (sqrt (* (* y y) 1)) (/ 1 y)) (sqrt (* (* y y) 1)) (* (* y y) 1) (/ x (/ (sqrt (* (* y y) 1)) (/ 1 y))) (/ x 1) (* (/ x 1) (pow y -2)) (pow y -2) (/ (/ x (pow y 3/2)) (sqrt y)) (/ x (pow y 3/2)) (pow y 3/2) (sqrt y) (/ (/ (/ x (pow y 3/2)) (pow y 1/4)) (pow y 1/4)) (/ (/ x (pow y 3/2)) (pow y 1/4)) (* y y) (pow y 1/4)) |
| 16.0ms | y | @ | inf | ((/ (/ x y) y) (/ x y) (/ (sqrt (* (* y y) 1)) (/ 1 y)) (sqrt (* (* y y) 1)) (* (* y y) 1) (/ x (/ (sqrt (* (* y y) 1)) (/ 1 y))) (/ x 1) (* (/ x 1) (pow y -2)) (pow y -2) (/ (/ x (pow y 3/2)) (sqrt y)) (/ x (pow y 3/2)) (pow y 3/2) (sqrt y) (/ (/ (/ x (pow y 3/2)) (pow y 1/4)) (pow y 1/4)) (/ (/ x (pow y 3/2)) (pow y 1/4)) (* y y) (pow y 1/4)) |
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 104 |
| 1 | 118 | 101 |
| 2 | 294 | 97 |
| 3 | 735 | 97 |
| 4 | 1972 | 95 |
| 0 | 8580 | 95 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (pow y 2)) |
(/ x y) |
x |
(* x (sqrt (/ 1 (pow y 3)))) |
(* (pow (/ 1 (pow y 7)) 1/4) x) |
(pow y 2) |
y |
(/ 1 (pow y 2)) |
(sqrt (pow y 3)) |
(sqrt y) |
(pow (* 1 y) 1/4) |
(* -1 (pow y 2)) |
(* -1 y) |
(* -1 (/ x (pow y 2))) |
(/ x (* (pow y 2) (pow (sqrt -1) 2))) |
(* -1 (* x (sqrt (/ 1 (pow y 3))))) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(/ x (* (pow y 2) (sqrt -1))) |
(/ (* x (exp (* 1/4 (+ (log -1) (* 7 (log (/ -1 y))))))) (sqrt -1)) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) |
| Outputs |
|---|
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(/ x y) |
(/.f64 x y) |
x |
(* x (sqrt (/ 1 (pow y 3)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) |
(* (pow (/ 1 (pow y 7)) 1/4) x) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))) #s(literal 1/4 binary64)) x) |
(pow y 2) |
(*.f64 y y) |
y |
(/ 1 (pow y 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) y) |
(sqrt (pow y 3)) |
(sqrt.f64 (pow.f64 y #s(literal 3 binary64))) |
(sqrt y) |
(sqrt.f64 y) |
(pow (* 1 y) 1/4) |
(pow.f64 y #s(literal 1/4 binary64)) |
(* -1 (pow y 2)) |
(*.f64 y y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (/ x (pow y 2))) |
(/.f64 (/.f64 x y) y) |
(/ x (* (pow y 2) (pow (sqrt -1) 2))) |
(/.f64 (/.f64 x y) y) |
(* -1 (* x (sqrt (/ 1 (pow y 3))))) |
(*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64)))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
(/ x (* (pow y 2) (sqrt -1))) |
(/.f64 (/.f64 x y) y) |
(/ (* x (exp (* 1/4 (+ (log -1) (* 7 (log (/ -1 y))))))) (sqrt -1)) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 (pow.f64 (neg.f64 y) #s(literal -7 binary64))) #s(literal 1/4 binary64))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(pow.f64 y #s(literal 1/4 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 100 |
| 0 | 42 | 67 |
| 1 | 118 | 61 |
| 2 | 448 | 60 |
| 3 | 2115 | 60 |
| 0 | 8273 | 60 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(sqrt.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(/.f64 x (/.f64 (sqrt.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 x #s(literal 1 binary64)) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(pow.f64 y #s(literal -2 binary64)) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y)) |
(/.f64 x (pow.f64 y #s(literal 3/2 binary64))) |
(pow.f64 y #s(literal 3/2 binary64)) |
(sqrt.f64 y) |
(/.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
(*.f64 y y) |
(pow.f64 y #s(literal 1/4 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 x y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x y))) |
(*.f64 (neg.f64 x) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x)) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) x) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 x y) y) #s(literal -1 binary64)) |
(*.f64 (/.f64 (/.f64 x y) y) #s(literal 1 binary64)) |
(*.f64 (/.f64 x y) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 x (pow.f64 y #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (neg.f64 x)) (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (neg.f64 x))) (*.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) (neg.f64 x)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) (neg.f64 x)))) (-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (neg.f64 x)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) x) (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) x)) (*.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) x) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) x))) (-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) x) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) (*.f64 (neg.f64 x) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))) (*.f64 (*.f64 (neg.f64 x) (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)))) (*.f64 (neg.f64 x) (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)))))) (-.f64 (*.f64 (neg.f64 x) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) (*.f64 (neg.f64 x) (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) (*.f64 x (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))) (*.f64 (*.f64 x (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)))) (*.f64 x (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)))))) (-.f64 (*.f64 x (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) (*.f64 x (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (neg.f64 x)) (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (neg.f64 x)) (-.f64 (*.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) (neg.f64 x)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) (neg.f64 x))) (*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (neg.f64 x)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) (neg.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) x) (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) x) (-.f64 (*.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) x) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) x)) (*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) x) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 x) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 x) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) (*.f64 (neg.f64 x) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) (-.f64 (*.f64 (*.f64 (neg.f64 x) (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)))) (*.f64 (neg.f64 x) (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))))) (*.f64 (*.f64 (neg.f64 x) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) (*.f64 (neg.f64 x) (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) (*.f64 x (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) (-.f64 (*.f64 (*.f64 x (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)))) (*.f64 x (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))))) (*.f64 (*.f64 x (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) (*.f64 x (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)))))))) |
(/.f64 (neg.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 15/8 binary64))) (pow.f64 y #s(literal 1/16 binary64)))) (neg.f64 (pow.f64 y #s(literal 1/16 binary64)))) |
(/.f64 (neg.f64 (/.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/8 binary64)))) (neg.f64 (pow.f64 y #s(literal 1/8 binary64)))) |
(/.f64 (neg.f64 (/.f64 (/.f64 x y) (sqrt.f64 y))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 y y)) |
(/.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x))) (*.f64 y y)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) (*.f64 y y)) |
(/.f64 (*.f64 (pow.f64 y #s(literal -3/4 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (pow.f64 y #s(literal 5/4 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -3/4 binary64)) (neg.f64 x)) (*.f64 (pow.f64 y #s(literal 5/4 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -3/4 binary64)) (neg.f64 x)) (*.f64 (pow.f64 y #s(literal 5/4 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -3/4 binary64)) x) (*.f64 (pow.f64 y #s(literal 5/4 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -3/4 binary64)) x) (*.f64 (pow.f64 y #s(literal 5/4 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 x)) (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 x)) (pow.f64 y #s(literal 3/2 binary64))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 y) #s(literal -1 binary64))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (neg.f64 x)) (*.f64 (sqrt.f64 y) #s(literal -1 binary64))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (neg.f64 x)) (sqrt.f64 y)) |
(/.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) (*.f64 (sqrt.f64 y) #s(literal -1 binary64))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) (sqrt.f64 y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) #s(literal 3 binary64))) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)))))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) #s(literal 3 binary64))) (neg.f64 x)) (*.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)))))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) #s(literal 3 binary64))) (neg.f64 x)) (*.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)))))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) #s(literal 3 binary64))) x) (*.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)))))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) #s(literal 3 binary64))) x) (*.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)))))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 y))) (pow.f64 y #s(literal 3/2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 x))) (*.f64 y y)) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 x))) (*.f64 y y)) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 y y)) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) x)) (*.f64 y y)) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (sqrt.f64 y))) (sqrt.f64 y)) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 x))) y) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 x))) y) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) y) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) x)) y) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 y))) (pow.f64 y #s(literal 3/2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 x))) (*.f64 y y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 x))) (*.f64 y y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 y y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) (*.f64 y y)) |
(/.f64 (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal -1 binary64)) (pow.f64 y #s(literal 3/2 binary64))) |
(/.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) |
(/.f64 (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3/2 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64)) (*.f64 y y)) |
(/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (pow.f64 y #s(literal -1 binary64))) y) |
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(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) (pow.f64 y #s(literal 7/4 binary64))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) (pow.f64 y #s(literal 7/4 binary64)))) |
(+.f64 (*.f64 (sqrt.f64 y) (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))) (*.f64 (sqrt.f64 y) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))))) |
(+.f64 (*.f64 (pow.f64 y #s(literal 7/4 binary64)) (cosh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)))) (*.f64 (pow.f64 y #s(literal 7/4 binary64)) (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))))) |
(+.f64 (/.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 1 binary64)) (/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 1 binary64))) |
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64))))) (neg.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64)))))) |
(*.f64 (fabs.f64 (pow.f64 y #s(literal 3/32 binary64))) (fabs.f64 (pow.f64 y #s(literal 5/32 binary64)))) |
(*.f64 (fabs.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal 1/16 binary64)))) (pow.f64 y #s(literal 1/16 binary64))) |
(*.f64 (fabs.f64 (pow.f64 y #s(literal 3/16 binary64))) (pow.f64 y #s(literal 1/16 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/8 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64))))) |
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 7/16 binary64))) (sqrt.f64 (pow.f64 y #s(literal 1/16 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 y #s(literal 3/8 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64))))) |
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))) |
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3/16 binary64))) (sqrt.f64 (pow.f64 y #s(literal 5/16 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 1/16 binary64))) (sqrt.f64 (pow.f64 y #s(literal 7/16 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64)))) (sqrt.f64 (*.f64 (pow.f64 y #s(literal 1/8 binary64)) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))))) |
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 y #s(literal 3/8 binary64))))) |
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3/8 binary64))) (pow.f64 y #s(literal 1/16 binary64))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64))))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64)))) (pow.f64 y #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 y #s(literal 3/16 binary64)) (pow.f64 y #s(literal 1/16 binary64))) |
(*.f64 (pow.f64 y #s(literal 3/32 binary64)) (pow.f64 y #s(literal 5/32 binary64))) |
(*.f64 (pow.f64 y #s(literal 1/16 binary64)) (fabs.f64 (*.f64 (pow.f64 y #s(literal 1/16 binary64)) (neg.f64 (pow.f64 y #s(literal 1/8 binary64)))))) |
(*.f64 (pow.f64 y #s(literal 1/16 binary64)) (fabs.f64 (pow.f64 y #s(literal 3/16 binary64)))) |
(*.f64 (pow.f64 y #s(literal 1/16 binary64)) (sqrt.f64 (pow.f64 y #s(literal 3/8 binary64)))) |
(*.f64 (pow.f64 y #s(literal 1/16 binary64)) (pow.f64 y #s(literal 3/16 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64))) (neg.f64 (pow.f64 y #s(literal 1/8 binary64)))) |
(*.f64 (pow.f64 y #s(literal 1/8 binary64)) (neg.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64))))) |
(*.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 y #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64))) |
(pow.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 y)) |
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/16 binary64)) |
(pow.f64 (pow.f64 y #s(literal 1/16 binary64)) #s(literal 4 binary64)) |
(pow.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal 1/8 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1/4 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1/8 binary64)) |
(pow.f64 y #s(literal 1/4 binary64)) |
(/.f64 (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (-.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) (cosh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) (cosh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))))))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)))))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)))))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64))))) |
(/.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(/.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64)))) |
(neg.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) |
(sqrt.f64 (sqrt.f64 y)) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64)))) (/.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64))))) |
(fabs.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) |
(fabs.f64 (pow.f64 y #s(literal 1/4 binary64))) |
(exp.f64 (/.f64 (log.f64 (sqrt.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (log.f64 y))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))))))) (/.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)))))))) |
(+.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) (cosh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)))) |
Compiled 21 269 to 3 233 computations (84.8% saved)
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 112 | 8 | 1 120 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 116 | 10 | 1 126 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (/.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/4 binary64))) y) (pow.f64 y #s(literal 1/4 binary64))) |
| ▶ | 99.5% | (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
| 94.9% | (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y)) | |
| ✓ | 99.8% | (/.f64 (/.f64 x y) y) |
| 99.5% | (/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) y) | |
| ▶ | 99.8% | (/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) y) |
| 91.5% | (/.f64 x (/.f64 y (/.f64 #s(literal 1 binary64) y))) | |
| ✓ | 91.5% | (/.f64 x (*.f64 y y)) |
| ▶ | 91.3% | (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
| ▶ | 91.4% | (*.f64 (/.f64 x #s(literal 1 binary64)) #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) |
Compiled 162 to 122 computations (24.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 y #s(literal 3/4 binary64)) | |
| cost-diff | 0 | (/.f64 x (pow.f64 y #s(literal 3/4 binary64))) | |
| cost-diff | 0 | (/.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/4 binary64))) y) (pow.f64 y #s(literal 1/4 binary64))) | |
| cost-diff | 2 | (/.f64 (/.f64 x (pow.f64 y #s(literal 3/4 binary64))) y) | |
| cost-diff | 0 | (sqrt.f64 y) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (/.f64 (/.f64 x y) (sqrt.f64 y)) | |
| cost-diff | 4 | (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) | |
| cost-diff | 0 | #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) | |
| cost-diff | 0 | (*.f64 (/.f64 x #s(literal 1 binary64)) #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) | |
| cost-diff | 2 | (/.f64 (/.f64 #s(literal 1 binary64) y) y) | |
| cost-diff | 2 | (/.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| cost-diff | 2 | (/.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (pow.f64 y #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) y) | |
| cost-diff | 2 | (*.f64 (pow.f64 y #s(literal -1 binary64)) x) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 132 |
| 0 | 47 | 124 |
| 1 | 76 | 110 |
| 2 | 141 | 110 |
| 3 | 390 | 102 |
| 4 | 1347 | 102 |
| 5 | 2700 | 102 |
| 6 | 3902 | 102 |
| 7 | 4773 | 102 |
| 8 | 4857 | 102 |
| 9 | 4983 | 102 |
| 10 | 5227 | 102 |
| 11 | 5227 | 102 |
| 12 | 5236 | 102 |
| 13 | 5247 | 102 |
| 14 | 5250 | 102 |
| 15 | 5250 | 102 |
| 16 | 5586 | 102 |
| 17 | 5815 | 102 |
| 18 | 6159 | 102 |
| 19 | 6159 | 102 |
| 20 | 6762 | 102 |
| 21 | 6762 | 102 |
| 22 | 6762 | 102 |
| 0 | 6762 | 102 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) y) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) x) |
(pow.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
x |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
y |
(*.f64 (/.f64 x #s(literal 1 binary64)) #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) |
(/.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) y) |
(/.f64 #s(literal 1 binary64) y) |
y |
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (/.f64 x y) (sqrt.f64 y)) |
(/.f64 x y) |
x |
y |
(sqrt.f64 y) |
(/.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/4 binary64))) y) (pow.f64 y #s(literal 1/4 binary64))) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 3/4 binary64))) y) |
(/.f64 x (pow.f64 y #s(literal 3/4 binary64))) |
x |
(pow.f64 y #s(literal 3/4 binary64)) |
y |
#s(literal 3/4 binary64) |
(pow.f64 y #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) y) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) x) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) x) |
(/.f64 x y) |
(pow.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
x |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) x) |
(/.f64 x #s(literal 1 binary64)) |
x |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(pow.f64 y #s(literal -2 binary64)) |
(*.f64 y y) |
y |
(*.f64 (/.f64 x #s(literal 1 binary64)) #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) |
(*.f64 #s(approx (pow y -2) (pow.f64 y #s(literal -2 binary64))) x) |
(/.f64 x #s(literal 1 binary64)) |
x |
x |
#s(literal 1 binary64) |
#s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) |
#s(approx (pow y -2) (pow.f64 y #s(literal -2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) y) |
(pow.f64 y #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) y) |
(pow.f64 y #s(literal -1 binary64)) |
y |
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) x) |
(/.f64 (/.f64 x y) (sqrt.f64 y)) |
(/.f64 (/.f64 x (sqrt.f64 y)) y) |
(/.f64 x y) |
x |
y |
(sqrt.f64 y) |
(/.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/4 binary64))) y) (pow.f64 y #s(literal 1/4 binary64))) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 7/4 binary64))) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 3/4 binary64))) y) |
(/.f64 x (pow.f64 y #s(literal 7/4 binary64))) |
(/.f64 x (pow.f64 y #s(literal 3/4 binary64))) |
x |
(pow.f64 y #s(literal 3/4 binary64)) |
y |
#s(literal 3/4 binary64) |
(pow.f64 y #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 y #s(literal 1/4 binary64)) | |
| accuracy | 0.13671875 | (/.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/4 binary64))) y) (pow.f64 y #s(literal 1/4 binary64))) | |
| accuracy | 0.140625 | (/.f64 (/.f64 x (pow.f64 y #s(literal 3/4 binary64))) y) | |
| accuracy | 0.1875 | (/.f64 x (pow.f64 y #s(literal 3/4 binary64))) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.0 | (sqrt.f64 y) | |
| accuracy | 0.1953125 | (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) | |
| accuracy | 0.22265625 | (/.f64 (/.f64 x y) (sqrt.f64 y)) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.0 | #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) | |
| accuracy | 0.16015625 | (/.f64 (/.f64 #s(literal 1 binary64) y) y) | |
| accuracy | 5.449613195898119 | (*.f64 (/.f64 x #s(literal 1 binary64)) #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) | |
| accuracy | 0.0 | (/.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.30349362673855507 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| accuracy | 5.449613195898119 | (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) | |
| accuracy | 0.0 | (pow.f64 y #s(literal -1 binary64)) | |
| accuracy | 0.1015625 | (/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) y) | |
| accuracy | 0.19140625 | (*.f64 (pow.f64 y #s(literal -1 binary64)) x) |
| 118.0ms | 256× | 0 | valid |
Compiled 122 to 29 computations (76.2% saved)
ival-div: 47.0ms (65.6% of total)ival-pow: 17.0ms (23.7% of total)ival-mult: 6.0ms (8.4% of total)ival-sqrt: 2.0ms (2.8% of total)exact: 1.0ms (1.4% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (pow.f64 y #s(literal -1 binary64)) x) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) y) |
(pow.f64 y #s(literal -1 binary64)) |
(/.f64 x #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 y y) |
(/.f64 (/.f64 #s(literal 1 binary64) y) y) |
(*.f64 (/.f64 x #s(literal 1 binary64)) #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) |
#s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (/.f64 x y) (sqrt.f64 y)) |
(/.f64 x y) |
(sqrt.f64 y) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 3/4 binary64))) y) |
(/.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/4 binary64))) y) (pow.f64 y #s(literal 1/4 binary64))) |
(/.f64 x (pow.f64 y #s(literal 3/4 binary64))) |
(pow.f64 y #s(literal 3/4 binary64)) |
(/.f64 #s(literal 1 binary64) y) |
(pow.f64 y #s(literal 1/4 binary64)) |
| Outputs |
|---|
(/ x y) |
(/ x (pow y 2)) |
x |
(* x (sqrt (/ 1 (pow y 3)))) |
(* (pow (/ 1 (pow y 7)) 1/4) x) |
(* (pow (/ 1 (pow y 3)) 1/4) x) |
(/ 1 y) |
(/ 1 (pow y 2)) |
(pow y 2) |
(sqrt y) |
(pow (* 1 (pow y 3)) 1/4) |
(pow (* 1 y) 1/4) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* x (exp (* 1/4 (+ (log -1) (* 7 (log (/ -1 y)))))))) |
(* -1 (/ x (pow y 2))) |
(* x (exp (* 1/4 (+ (log -1) (* 3 (log (/ -1 y))))))) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 y)))))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 45.0ms | y | @ | -inf | ((* (pow y -1) x) (/ (* (pow y -1) x) y) (pow y -1) (/ x 1) (/ 1 (* y y)) (* (/ x 1) (/ 1 (* y y))) (* y y) (/ (/ 1 y) y) (* (/ x 1) (pow y -2)) (pow y -2) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (/ x y) (sqrt y) (/ (/ x (pow y 3/4)) y) (/ (/ (/ x (pow y 3/4)) y) (pow y 1/4)) (/ x (pow y 3/4)) (pow y 3/4) (/ 1 y) (pow y 1/4)) |
| 35.0ms | y | @ | inf | ((* (pow y -1) x) (/ (* (pow y -1) x) y) (pow y -1) (/ x 1) (/ 1 (* y y)) (* (/ x 1) (/ 1 (* y y))) (* y y) (/ (/ 1 y) y) (* (/ x 1) (pow y -2)) (pow y -2) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (/ x y) (sqrt y) (/ (/ x (pow y 3/4)) y) (/ (/ (/ x (pow y 3/4)) y) (pow y 1/4)) (/ x (pow y 3/4)) (pow y 3/4) (/ 1 y) (pow y 1/4)) |
| 34.0ms | x | @ | 0 | ((* (pow y -1) x) (/ (* (pow y -1) x) y) (pow y -1) (/ x 1) (/ 1 (* y y)) (* (/ x 1) (/ 1 (* y y))) (* y y) (/ (/ 1 y) y) (* (/ x 1) (pow y -2)) (pow y -2) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (/ x y) (sqrt y) (/ (/ x (pow y 3/4)) y) (/ (/ (/ x (pow y 3/4)) y) (pow y 1/4)) (/ x (pow y 3/4)) (pow y 3/4) (/ 1 y) (pow y 1/4)) |
| 32.0ms | y | @ | 0 | ((* (pow y -1) x) (/ (* (pow y -1) x) y) (pow y -1) (/ x 1) (/ 1 (* y y)) (* (/ x 1) (/ 1 (* y y))) (* y y) (/ (/ 1 y) y) (* (/ x 1) (pow y -2)) (pow y -2) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (/ x y) (sqrt y) (/ (/ x (pow y 3/4)) y) (/ (/ (/ x (pow y 3/4)) y) (pow y 1/4)) (/ x (pow y 3/4)) (pow y 3/4) (/ 1 y) (pow y 1/4)) |
| 19.0ms | x | @ | inf | ((* (pow y -1) x) (/ (* (pow y -1) x) y) (pow y -1) (/ x 1) (/ 1 (* y y)) (* (/ x 1) (/ 1 (* y y))) (* y y) (/ (/ 1 y) y) (* (/ x 1) (pow y -2)) (pow y -2) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (/ x y) (sqrt y) (/ (/ x (pow y 3/4)) y) (/ (/ (/ x (pow y 3/4)) y) (pow y 1/4)) (/ x (pow y 3/4)) (pow y 3/4) (/ 1 y) (pow y 1/4)) |
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 120 |
| 1 | 151 | 119 |
| 2 | 413 | 109 |
| 3 | 1181 | 107 |
| 4 | 3785 | 104 |
| 0 | 8782 | 104 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x y) |
(/ x (pow y 2)) |
x |
(* x (sqrt (/ 1 (pow y 3)))) |
(* (pow (/ 1 (pow y 7)) 1/4) x) |
(* (pow (/ 1 (pow y 3)) 1/4) x) |
(/ 1 y) |
(/ 1 (pow y 2)) |
(pow y 2) |
(sqrt y) |
(pow (* 1 (pow y 3)) 1/4) |
(pow (* 1 y) 1/4) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* x (exp (* 1/4 (+ (log -1) (* 7 (log (/ -1 y)))))))) |
(* -1 (/ x (pow y 2))) |
(* x (exp (* 1/4 (+ (log -1) (* 3 (log (/ -1 y))))))) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 y)))))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) |
| Outputs |
|---|
(/ x y) |
(/.f64 x y) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
x |
(* x (sqrt (/ 1 (pow y 3)))) |
(*.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64))) x) |
(* (pow (/ 1 (pow y 7)) 1/4) x) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))) #s(literal 1/4 binary64)) x) |
(* (pow (/ 1 (pow y 3)) 1/4) x) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3/4 binary64)) x) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 (pow y 2)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) y) |
(pow y 2) |
(*.f64 y y) |
(sqrt y) |
(sqrt.f64 y) |
(pow (* 1 (pow y 3)) 1/4) |
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/4 binary64)) |
(pow (* 1 y) 1/4) |
(pow.f64 y #s(literal 1/4 binary64)) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(/.f64 (/.f64 x y) y) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
(* -1 (* x (exp (* 1/4 (+ (log -1) (* 7 (log (/ -1 y)))))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 7/4 binary64)) x) (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64))) |
(* -1 (/ x (pow y 2))) |
(/.f64 (/.f64 x y) y) |
(* x (exp (* 1/4 (+ (log -1) (* 3 (log (/ -1 y))))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3/4 binary64)) x) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 y)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -3/4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1/4 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 114 |
| 0 | 47 | 104 |
| 1 | 131 | 82 |
| 2 | 523 | 81 |
| 3 | 2584 | 81 |
| 0 | 8556 | 81 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 y #s(literal -1 binary64)) x) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) y) |
(pow.f64 y #s(literal -1 binary64)) |
(/.f64 x #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 y y) |
(/.f64 (/.f64 #s(literal 1 binary64) y) y) |
(*.f64 (/.f64 x #s(literal 1 binary64)) #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) |
#s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (/.f64 x y) (sqrt.f64 y)) |
(/.f64 x y) |
(sqrt.f64 y) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 3/4 binary64))) y) |
(/.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/4 binary64))) y) (pow.f64 y #s(literal 1/4 binary64))) |
(/.f64 x (pow.f64 y #s(literal 3/4 binary64))) |
(pow.f64 y #s(literal 3/4 binary64)) |
(/.f64 #s(literal 1 binary64) y) |
(pow.f64 y #s(literal 1/4 binary64)) |
| Outputs |
|---|
(*.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (pow.f64 y #s(literal -1/4 binary64)))) (pow.f64 y #s(literal -1/4 binary64))) |
(*.f64 (neg.f64 (*.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (*.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (*.f64 x (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (*.f64 x (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) |
(*.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64))) |
(*.f64 (*.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 x (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 x (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) |
(*.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 x))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 x (sqrt.f64 y))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 x))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 y))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) |
(*.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 (/.f64 x y) #s(literal -1 binary64)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) x) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 x (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 x y)) |
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 (log.f64 y)) x) (*.f64 (cosh.f64 (log.f64 y)) x)) (*.f64 (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) x) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) x))) (-.f64 (*.f64 (cosh.f64 (log.f64 y)) x) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 (log.f64 y)) (neg.f64 x)) (*.f64 (cosh.f64 (log.f64 y)) (neg.f64 x))) (*.f64 (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) (neg.f64 x)) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) (neg.f64 x)))) (-.f64 (*.f64 (cosh.f64 (log.f64 y)) (neg.f64 x)) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (cosh.f64 (log.f64 y))) (*.f64 x (cosh.f64 (log.f64 y)))) (*.f64 (*.f64 x (sinh.f64 (neg.f64 (log.f64 y)))) (*.f64 x (sinh.f64 (neg.f64 (log.f64 y)))))) (-.f64 (*.f64 x (cosh.f64 (log.f64 y))) (*.f64 x (sinh.f64 (neg.f64 (log.f64 y)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (cosh.f64 (log.f64 y))) (*.f64 (neg.f64 x) (cosh.f64 (log.f64 y)))) (*.f64 (*.f64 (neg.f64 x) (sinh.f64 (neg.f64 (log.f64 y)))) (*.f64 (neg.f64 x) (sinh.f64 (neg.f64 (log.f64 y)))))) (-.f64 (*.f64 (neg.f64 x) (cosh.f64 (log.f64 y))) (*.f64 (neg.f64 x) (sinh.f64 (neg.f64 (log.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 (log.f64 y)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 (log.f64 y)) x) (*.f64 (cosh.f64 (log.f64 y)) x) (-.f64 (*.f64 (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) x) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) x)) (*.f64 (*.f64 (cosh.f64 (log.f64 y)) x) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 (log.f64 y)) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 (log.f64 y)) (neg.f64 x)) (*.f64 (cosh.f64 (log.f64 y)) (neg.f64 x)) (-.f64 (*.f64 (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) (neg.f64 x)) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) (neg.f64 x))) (*.f64 (*.f64 (cosh.f64 (log.f64 y)) (neg.f64 x)) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) (neg.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (cosh.f64 (log.f64 y))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sinh.f64 (neg.f64 (log.f64 y)))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (cosh.f64 (log.f64 y))) (*.f64 x (cosh.f64 (log.f64 y))) (-.f64 (*.f64 (*.f64 x (sinh.f64 (neg.f64 (log.f64 y)))) (*.f64 x (sinh.f64 (neg.f64 (log.f64 y))))) (*.f64 (*.f64 x (cosh.f64 (log.f64 y))) (*.f64 x (sinh.f64 (neg.f64 (log.f64 y)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 x) (cosh.f64 (log.f64 y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (sinh.f64 (neg.f64 (log.f64 y)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 x) (cosh.f64 (log.f64 y))) (*.f64 (neg.f64 x) (cosh.f64 (log.f64 y))) (-.f64 (*.f64 (*.f64 (neg.f64 x) (sinh.f64 (neg.f64 (log.f64 y)))) (*.f64 (neg.f64 x) (sinh.f64 (neg.f64 (log.f64 y))))) (*.f64 (*.f64 (neg.f64 x) (cosh.f64 (log.f64 y))) (*.f64 (neg.f64 x) (sinh.f64 (neg.f64 (log.f64 y)))))))) |
(/.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (sqrt.f64 y)) |
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (neg.f64 x) y) |
(/.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 (/.f64 x y) #s(literal -1 binary64)) |
(/.f64 x y) |
(neg.f64 (/.f64 x y)) |
(fma.f64 (cosh.f64 (log.f64 y)) (neg.f64 x) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) (neg.f64 x))) |
(fma.f64 (cosh.f64 (log.f64 y)) x (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) x)) |
(fma.f64 (neg.f64 x) (cosh.f64 (log.f64 y)) (*.f64 (neg.f64 x) (sinh.f64 (neg.f64 (log.f64 y))))) |
(fma.f64 x (cosh.f64 (log.f64 y)) (*.f64 x (sinh.f64 (neg.f64 (log.f64 y))))) |
(-.f64 (*.f64 (cosh.f64 (log.f64 y)) x) (*.f64 (sinh.f64 (log.f64 y)) x)) |
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(/.f64 (fma.f64 (+.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64))))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/4 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) |
(neg.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) |
(sqrt.f64 (sqrt.f64 y)) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) #s(literal 2 binary64)) (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal -1/4 binary64)))) |
(fabs.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) |
(fabs.f64 (pow.f64 y #s(literal 1/4 binary64))) |
(exp.f64 (/.f64 (log.f64 (sqrt.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (log.f64 y))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))))))) (/.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)))))))) |
(+.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y)))) |
(+.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)))) |
Compiled 16 259 to 2 957 computations (81.8% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 888 | 5 | 893 |
| Fresh | 2 | 1 | 3 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 894 | 9 | 903 |
| Status | Accuracy | Program |
|---|---|---|
| 99.7% | (/.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/4 binary64))) y) (sqrt.f64 (sqrt.f64 y))) | |
| ✓ | 99.5% | (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
| ▶ | 99.6% | (/.f64 (/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) y) (sqrt.f64 y)) |
| ▶ | 94.9% | (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y)) |
| ✓ | 99.8% | (/.f64 (/.f64 x y) y) |
| ▶ | 99.8% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) |
| ✓ | 91.5% | (/.f64 x (*.f64 y y)) |
| ▶ | 91.3% | (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
| ▶ | 91.4% | (*.f64 x #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) |
Compiled 129 to 102 computations (20.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 y #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) y) | |
| cost-diff | 0 | (/.f64 (/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) y) (sqrt.f64 y)) | |
| cost-diff | 0 | (sqrt.f64 y) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 y) y) | |
| cost-diff | 0 | (/.f64 x (*.f64 (sqrt.f64 y) y)) | |
| cost-diff | 4 | (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) y) y) | |
| cost-diff | 0 | #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) | |
| cost-diff | 0 | (*.f64 x #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| cost-diff | 2 | (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) | |
| cost-diff | 2 | (*.f64 (/.f64 #s(literal 1 binary64) y) x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 120 |
| 0 | 39 | 118 |
| 1 | 64 | 110 |
| 2 | 111 | 110 |
| 3 | 254 | 110 |
| 4 | 686 | 110 |
| 5 | 1738 | 110 |
| 6 | 2125 | 110 |
| 7 | 2182 | 110 |
| 8 | 2194 | 110 |
| 9 | 2207 | 110 |
| 10 | 2209 | 110 |
| 11 | 2209 | 110 |
| 12 | 2209 | 110 |
| 0 | 2209 | 110 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
(*.f64 x #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) |
x |
#s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) y) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y)) |
(/.f64 x (*.f64 (sqrt.f64 y) y)) |
x |
(*.f64 (sqrt.f64 y) y) |
(sqrt.f64 y) |
y |
(/.f64 (/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) y) (sqrt.f64 y)) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) y) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) |
(pow.f64 y #s(literal -1/2 binary64)) |
y |
#s(literal -1/2 binary64) |
x |
(sqrt.f64 y) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) |
(/.f64 (/.f64 x y) y) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/.f64 x y) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 (/.f64 x y) y) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) y) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
(*.f64 x #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) |
(*.f64 #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x) |
x |
#s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) y) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (*.f64 (sqrt.f64 y) y)) |
x |
(*.f64 (sqrt.f64 y) y) |
(sqrt.f64 y) |
y |
(/.f64 (/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) y) (sqrt.f64 y)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) y) (/.f64 x (sqrt.f64 y))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) y) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) |
(pow.f64 y #s(literal -1/2 binary64)) |
y |
#s(literal -1/2 binary64) |
x |
(sqrt.f64 y) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (pow.f64 y #s(literal -1/2 binary64)) | |
| accuracy | 0.16796875 | (/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) y) | |
| accuracy | 0.1953125 | (/.f64 (/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) y) (sqrt.f64 y)) | |
| accuracy | 0.21484375 | (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) | |
| accuracy | 0.0 | (sqrt.f64 y) | |
| accuracy | 0.1796875 | (*.f64 (sqrt.f64 y) y) | |
| accuracy | 0.1953125 | (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y)) | |
| accuracy | 7.027867925319051 | (/.f64 x (*.f64 (sqrt.f64 y) y)) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.0 | #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) | |
| accuracy | 0.16015625 | (/.f64 (/.f64 #s(literal 1 binary64) y) y) | |
| accuracy | 5.449613195898119 | (*.f64 x #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.30349362673855507 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| accuracy | 5.449613195898119 | (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.1015625 | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) | |
| accuracy | 0.19140625 | (*.f64 (/.f64 #s(literal 1 binary64) y) x) |
| 67.0ms | 256× | 0 | valid |
Compiled 110 to 24 computations (78.2% saved)
ival-mult: 31.0ms (58.4% of total)ival-div: 12.0ms (22.6% of total)ival-pow: 8.0ms (15.1% of total)ival-sqrt: 2.0ms (3.8% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) |
(/.f64 #s(literal 1 binary64) y) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
(*.f64 x #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) |
#s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) y) |
(/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y)) |
(/.f64 x (*.f64 (sqrt.f64 y) y)) |
(*.f64 (sqrt.f64 y) y) |
(sqrt.f64 y) |
(/.f64 (/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) y) (sqrt.f64 y)) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) y) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) |
(pow.f64 y #s(literal -1/2 binary64)) |
| Outputs |
|---|
(/ x y) |
(/ x (pow y 2)) |
(* x (sqrt (/ 1 (pow y 3)))) |
(* x (sqrt (/ 1 y))) |
(/ 1 y) |
(/ 1 (pow y 2)) |
(pow y 2) |
(sqrt (pow y 3)) |
(sqrt y) |
(sqrt (/ 1 y)) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (/ x (pow y 2))) |
(* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3)))) |
(* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y))) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | y | @ | -inf | ((* (/ 1 y) x) (/ (* (/ 1 y) x) y) (/ 1 y) (* x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* x (pow y -2)) (pow y -2) (/ (/ 1 y) y) (/ (/ x (* (sqrt y) y)) (sqrt y)) (/ x (* (sqrt y) y)) (* (sqrt y) y) (sqrt y) (/ (/ (* (pow y -1/2) x) y) (sqrt y)) (/ (* (pow y -1/2) x) y) (* (pow y -1/2) x) (pow y -1/2)) |
| 2.0ms | y | @ | inf | ((* (/ 1 y) x) (/ (* (/ 1 y) x) y) (/ 1 y) (* x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* x (pow y -2)) (pow y -2) (/ (/ 1 y) y) (/ (/ x (* (sqrt y) y)) (sqrt y)) (/ x (* (sqrt y) y)) (* (sqrt y) y) (sqrt y) (/ (/ (* (pow y -1/2) x) y) (sqrt y)) (/ (* (pow y -1/2) x) y) (* (pow y -1/2) x) (pow y -1/2)) |
| 2.0ms | x | @ | -inf | ((* (/ 1 y) x) (/ (* (/ 1 y) x) y) (/ 1 y) (* x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* x (pow y -2)) (pow y -2) (/ (/ 1 y) y) (/ (/ x (* (sqrt y) y)) (sqrt y)) (/ x (* (sqrt y) y)) (* (sqrt y) y) (sqrt y) (/ (/ (* (pow y -1/2) x) y) (sqrt y)) (/ (* (pow y -1/2) x) y) (* (pow y -1/2) x) (pow y -1/2)) |
| 2.0ms | y | @ | 0 | ((* (/ 1 y) x) (/ (* (/ 1 y) x) y) (/ 1 y) (* x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* x (pow y -2)) (pow y -2) (/ (/ 1 y) y) (/ (/ x (* (sqrt y) y)) (sqrt y)) (/ x (* (sqrt y) y)) (* (sqrt y) y) (sqrt y) (/ (/ (* (pow y -1/2) x) y) (sqrt y)) (/ (* (pow y -1/2) x) y) (* (pow y -1/2) x) (pow y -1/2)) |
| 2.0ms | x | @ | 0 | ((* (/ 1 y) x) (/ (* (/ 1 y) x) y) (/ 1 y) (* x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* x (pow y -2)) (pow y -2) (/ (/ 1 y) y) (/ (/ x (* (sqrt y) y)) (sqrt y)) (/ x (* (sqrt y) y)) (* (sqrt y) y) (sqrt y) (/ (/ (* (pow y -1/2) x) y) (sqrt y)) (/ (* (pow y -1/2) x) y) (* (pow y -1/2) x) (pow y -1/2)) |
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 92 |
| 1 | 68 | 81 |
| 2 | 174 | 80 |
| 3 | 553 | 80 |
| 4 | 2630 | 80 |
| 5 | 4208 | 80 |
| 6 | 4516 | 80 |
| 7 | 4638 | 80 |
| 8 | 4642 | 80 |
| 9 | 4642 | 80 |
| 10 | 4972 | 80 |
| 11 | 5034 | 80 |
| 12 | 5062 | 80 |
| 13 | 5114 | 80 |
| 14 | 5178 | 80 |
| 0 | 5240 | 80 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(/ x y) |
(/ x (pow y 2)) |
(* x (sqrt (/ 1 (pow y 3)))) |
(* x (sqrt (/ 1 y))) |
(/ 1 y) |
(/ 1 (pow y 2)) |
(pow y 2) |
(sqrt (pow y 3)) |
(sqrt y) |
(sqrt (/ 1 y)) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (/ x (pow y 2))) |
(* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3)))) |
(* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y))) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
| Outputs |
|---|
(/ x y) |
(/.f64 x y) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(* x (sqrt (/ 1 (pow y 3)))) |
(*.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) x) |
(* x (sqrt (/ 1 y))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 (pow y 2)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) y) |
(pow y 2) |
(*.f64 y y) |
(sqrt (pow y 3)) |
(sqrt.f64 (pow.f64 y #s(literal 3 binary64))) |
(sqrt y) |
(sqrt.f64 y) |
(sqrt (/ 1 y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) y)) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(/.f64 (/.f64 x y) y) |
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2))) |
(sqrt.f64 (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
(* -1 (/ x (pow y 2))) |
(/.f64 (/.f64 x y) y) |
(* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3)))) |
(*.f64 (neg.f64 x) (sqrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) |
(* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y))) |
(*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 101 |
| 0 | 39 | 95 |
| 1 | 101 | 74 |
| 2 | 335 | 74 |
| 3 | 1233 | 73 |
| 4 | 6997 | 73 |
| 0 | 8116 | 73 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) |
(/.f64 #s(literal 1 binary64) y) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
(*.f64 x #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) |
#s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) y) |
(/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y)) |
(/.f64 x (*.f64 (sqrt.f64 y) y)) |
(*.f64 (sqrt.f64 y) y) |
(sqrt.f64 y) |
(/.f64 (/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) y) (sqrt.f64 y)) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) y) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) |
(pow.f64 y #s(literal -1/2 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 x (pow.f64 y #s(literal -3/4 binary64))) (pow.f64 y #s(literal -1/4 binary64))) |
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(*.f64 (fabs.f64 (pow.f64 y #s(literal -3/8 binary64))) (pow.f64 y #s(literal -1/8 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 7/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/8 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 (pow.f64 y #s(literal 7/4 binary64)) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 y #s(literal -3/8 binary64)) (pow.f64 y #s(literal -1/8 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/8 binary64))) (/.f64 (neg.f64 (pow.f64 y #s(literal -1/8 binary64))) (pow.f64 y #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1/8 binary64)) (/.f64 (pow.f64 y #s(literal -1/8 binary64)) (pow.f64 y #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1/8 binary64)) (fabs.f64 (pow.f64 y #s(literal -3/8 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1/8 binary64)) (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/8 binary64)) (pow.f64 y #s(literal -3/8 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 y)) |
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/8 binary64)) |
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1/8 binary64)) #s(literal 4 binary64)) |
(pow.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 y) #s(literal -1 binary64)) |
(pow.f64 (*.f64 y y) #s(literal -1/4 binary64)) |
(pow.f64 y #s(literal -1/2 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) |
(/.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal 1/8 binary64))) |
(/.f64 (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 2 binary64))) (-.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (cosh.f64 (log.f64 (sqrt.f64 y))))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (+.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 y))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (sqrt.f64 y))) (-.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 y))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (log.f64 y)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (cosh.f64 (log.f64 (sqrt.f64 y))))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (log.f64 y)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (cosh.f64 (log.f64 (sqrt.f64 y)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 3 binary64))) #s(literal 1 binary64)) (-.f64 (cosh.f64 (log.f64 y)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (cosh.f64 (log.f64 (sqrt.f64 y)))))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 y)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 y)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 y)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 y)))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 3 binary64)))) (fabs.f64 (-.f64 (cosh.f64 (log.f64 y)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (cosh.f64 (log.f64 (sqrt.f64 y))))))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (cosh.f64 (log.f64 (sqrt.f64 y))))))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 3 binary64))) (-.f64 (cosh.f64 (log.f64 y)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (cosh.f64 (log.f64 (sqrt.f64 y)))))) |
(/.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) |
(/.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 y))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 y)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y))) |
(fma.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (sinh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) (pow.f64 y #s(literal -1/4 binary64)))) |
(fma.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 1 binary64) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 1 binary64))) |
(fma.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 1 binary64) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 y #s(literal -1/4 binary64)) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (sinh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (log.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))))) (cosh.f64 (log.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))))) (cosh.f64 (log.f64 (sqrt.f64 y)))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y)))) (cosh.f64 (log.f64 (sqrt.f64 y)))) |
(fma.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 (sqrt.f64 y))))) |
(fma.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 (sqrt.f64 y))) (*.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))))) |
(sqrt.f64 (pow.f64 y #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (sqrt.f64 y))) |
(-.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (log.f64 (sqrt.f64 y)))) |
(fabs.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y))) |
(fabs.f64 (pow.f64 y #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1/2 binary64))) (log.f64 y))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1/2 binary64))) (log.f64 y))) (sinh.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1/2 binary64))) (log.f64 y)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 1 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) (pow.f64 y #s(literal -1/4 binary64))) (*.f64 (sinh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) (pow.f64 y #s(literal -1/4 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 (sqrt.f64 y))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 (sqrt.f64 y)))) (*.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))))) |
(+.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y)))) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (sinh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))))) |
(+.f64 (neg.f64 (neg.f64 (cosh.f64 (log.f64 (sqrt.f64 y))))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) |
(+.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (sinh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) (pow.f64 y #s(literal 1/4 binary64)))) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (log.f64 y)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (cosh.f64 (log.f64 (sqrt.f64 y)))))) (/.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (log.f64 y)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (cosh.f64 (log.f64 (sqrt.f64 y))))))) |
(+.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (cosh.f64 (log.f64 (sqrt.f64 y)))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) |
Compiled 24 070 to 3 803 computations (84.2% saved)
9 alts after pruning (1 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 288 | 0 | 1 288 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 288 | 9 | 1 297 |
| Status | Accuracy | Program |
|---|---|---|
| 99.7% | (/.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/4 binary64))) y) (sqrt.f64 (sqrt.f64 y))) | |
| ✓ | 99.5% | (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
| ✓ | 99.6% | (/.f64 (/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) y) (sqrt.f64 y)) |
| ✓ | 94.9% | (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y)) |
| ✓ | 99.8% | (/.f64 (/.f64 x y) y) |
| ✓ | 99.8% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) |
| ✓ | 91.5% | (/.f64 x (*.f64 y y)) |
| ✓ | 91.3% | (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
| ✓ | 91.4% | (*.f64 x #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) |
Compiled 246 to 119 computations (51.6% saved)
| Inputs |
|---|
(/.f64 x (*.f64 y y)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 (/.f64 x y) y) |
(*.f64 x #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 x (/.f64 y (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 x #s(literal 1 binary64)) #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) |
(/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y)) |
(/.f64 x (/.f64 (sqrt.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) y) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y)) |
(/.f64 (/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) y) (sqrt.f64 y)) |
(/.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/4 binary64))) y) (sqrt.f64 (sqrt.f64 y))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) y) |
(/.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/4 binary64))) y) (pow.f64 y #s(literal 1/4 binary64))) |
(/.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
| Outputs |
|---|
(/.f64 (/.f64 x y) y) |
4 calls:
| 101.0ms | y |
| 5.0ms | x |
| 5.0ms | (*.f64 y y) |
| 4.0ms | (/.f64 x (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (*.f64 y y) |
| 99.8% | 1 | (/.f64 x (*.f64 y y)) |
| 99.8% | 1 | x |
| 99.8% | 1 | y |
Compiled 10 to 11 computations (-10% saved)
Total -0.2b remaining (-3.7%)
Threshold costs -0.2b (-3.7%)
| Inputs |
|---|
(/.f64 x (*.f64 y y)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
| Outputs |
|---|
(/.f64 x (*.f64 y y)) |
4 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (/.f64 x (*.f64 y y)) |
| 1.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.5% | 1 | (*.f64 y y) |
| 91.5% | 1 | (/.f64 x (*.f64 y y)) |
| 91.5% | 1 | x |
| 91.5% | 1 | y |
Compiled 10 to 11 computations (-10% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 x y) y) |
(/.f64 x (*.f64 y y)) |
| Outputs |
|---|
(/.f64 (/.f64 x y) y) |
(/.f64 x (*.f64 y y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 8 |
| 0 | 6 | 8 |
| 1 | 17 | 8 |
| 2 | 57 | 8 |
| 3 | 165 | 8 |
| 4 | 376 | 8 |
| 5 | 1539 | 8 |
| 0 | 8775 | 8 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 10 to 6 computations (40% saved)
(negabs x)
(abs y)
Compiled 80 to 60 computations (25% saved)
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