
Time bar (total: 3.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 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)
| 438.0ms | 8 256× | 0 | valid |
ival-mult: 110.0ms (59.1% of total)ival-div: 64.0ms (34.4% of total)ival-true: 6.0ms (3.2% of total)ival-assert: 3.0ms (1.6% of total)adjust: 2.0ms (1.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 30 | 0 | - | 0 | - | (/.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 | 17 | 0 |
| ↳ | (*.f64 y y) | overflow | 62 | |
/.f64 | (/.f64 x (*.f64 y y)) | n/u | 13 | 0 |
| ↳ | (*.f64 y y) | underflow | 64 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 30 | 0 |
| - | 0 | 226 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 30 | 0 | 0 |
| - | 0 | 0 | 226 |
| number | freq |
|---|---|
| 0 | 226 |
| 1 | 30 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 26.0ms | 512× | 0 | valid |
Compiled 29 to 16 computations (44.8% saved)
ival-mult: 4.0ms (48.6% of total)ival-div: 3.0ms (36.5% of total)ival-true: 1.0ms (12.2% 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 |
|---|---|---|
| ▶ | 88.8% | (/.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 | 7.147937988756262 | (/.f64 x (*.f64 y y)) |
| 14.0ms | 256× | 0 | valid |
Compiled 12 to 6 computations (50% saved)
ival-mult: 6.0ms (70.7% of total)ival-div: 2.0ms (23.6% 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 | x | @ | inf | ((/ x (* y y)) (* y y)) |
| 1.0ms | y | @ | 0 | ((/ 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)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 169 | 4 | 173 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 169 | 5 | 174 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.7% | (/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64))) |
| ▶ | 99.8% | (/.f64 (/.f64 x y) y) |
| ▶ | 88.8% | (/.f64 x (/.f64 (sqrt.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))) |
| ✓ | 88.8% | (/.f64 x (*.f64 y y)) |
| ▶ | 88.9% | (*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
Compiled 37 to 31 computations (16.2% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 y #s(literal 3/2 binary64)) | |
| cost-diff | 0 | (sqrt.f64 y) | |
| cost-diff | 0 | (/.f64 x (sqrt.f64 y)) | |
| cost-diff | 0 | (/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (/.f64 (/.f64 x y) y) | |
| 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 | (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)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 89 |
| 0 | 35 | 77 |
| 1 | 57 | 67 |
| 2 | 113 | 67 |
| 3 | 192 | 67 |
| 4 | 305 | 67 |
| 5 | 614 | 67 |
| 6 | 1216 | 67 |
| 7 | 1353 | 67 |
| 8 | 1562 | 67 |
| 9 | 1741 | 67 |
| 10 | 1886 | 67 |
| 11 | 1886 | 67 |
| 12 | 1886 | 67 |
| 13 | 1886 | 67 |
| 0 | 1886 | 67 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.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 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 y) y) |
(/.f64 x y) |
x |
y |
(/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64))) |
(/.f64 x (sqrt.f64 y)) |
x |
(sqrt.f64 y) |
y |
(pow.f64 y #s(literal 3/2 binary64)) |
#s(literal 3/2 binary64) |
| Outputs |
|---|
(*.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 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 y) y) |
(/.f64 x y) |
x |
y |
(/.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))) (sqrt.f64 y)) |
(/.f64 x (sqrt.f64 y)) |
x |
(sqrt.f64 y) |
y |
(pow.f64 y #s(literal 3/2 binary64)) |
#s(literal 3/2 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 y #s(literal 3/2 binary64)) | |
| accuracy | 0.0 | (sqrt.f64 y) | |
| accuracy | 0.20703125 | (/.f64 x (sqrt.f64 y)) | |
| accuracy | 3.3756612980751646 | (/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64))) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.12109375 | (/.f64 (/.f64 x y) y) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.1484375 | (/.f64 (sqrt.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 7.147937988756262 | (/.f64 x (/.f64 (sqrt.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))) | |
| accuracy | 29.59706119804717 | (sqrt.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (/.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (pow.f64 y #s(literal -2 binary64)) | |
| accuracy | 7.120594238756262 | (*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
| 65.0ms | 256× | 0 | valid |
Compiled 91 to 22 computations (75.8% saved)
ival-div: 19.0ms (36.4% of total)exact: 16.0ms (30.7% of total)ival-pow: 9.0ms (17.3% of total)ival-mult: 4.0ms (7.7% of total)ival-sqrt: 3.0ms (5.8% 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 #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 (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 (/.f64 x y) y) |
(/.f64 x y) |
(/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64))) |
(/.f64 x (sqrt.f64 y)) |
(sqrt.f64 y) |
(pow.f64 y #s(literal 3/2 binary64)) |
(*.f64 y y) |
| Outputs |
|---|
x |
(/ x (pow y 2)) |
(/ x y) |
(* x (sqrt (/ 1 y))) |
(/ 1 (pow y 2)) |
(pow y 2) |
y |
(sqrt y) |
(sqrt (pow y 3)) |
(* -1 (pow y 2)) |
(* -1 y) |
(* -1 (/ x (pow y 2))) |
(/ x (* (pow y 2) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | -inf | ((/ x 1) (* (/ x 1) (pow y -2)) (pow y -2) (/ (sqrt (* (* y y) 1)) (/ 1 y)) (sqrt (* (* y y) 1)) (* (* y y) 1) (/ x (/ (sqrt (* (* y y) 1)) (/ 1 y))) (/ (/ x y) y) (/ x y) (/ (/ x (sqrt y)) (pow y 3/2)) (/ x (sqrt y)) (sqrt y) (pow y 3/2) (* y y)) |
| 2.0ms | x | @ | 0 | ((/ x 1) (* (/ x 1) (pow y -2)) (pow y -2) (/ (sqrt (* (* y y) 1)) (/ 1 y)) (sqrt (* (* y y) 1)) (* (* y y) 1) (/ x (/ (sqrt (* (* y y) 1)) (/ 1 y))) (/ (/ x y) y) (/ x y) (/ (/ x (sqrt y)) (pow y 3/2)) (/ x (sqrt y)) (sqrt y) (pow y 3/2) (* y y)) |
| 2.0ms | y | @ | inf | ((/ x 1) (* (/ x 1) (pow y -2)) (pow y -2) (/ (sqrt (* (* y y) 1)) (/ 1 y)) (sqrt (* (* y y) 1)) (* (* y y) 1) (/ x (/ (sqrt (* (* y y) 1)) (/ 1 y))) (/ (/ x y) y) (/ x y) (/ (/ x (sqrt y)) (pow y 3/2)) (/ x (sqrt y)) (sqrt y) (pow y 3/2) (* y y)) |
| 2.0ms | x | @ | -inf | ((/ x 1) (* (/ x 1) (pow y -2)) (pow y -2) (/ (sqrt (* (* y y) 1)) (/ 1 y)) (sqrt (* (* y y) 1)) (* (* y y) 1) (/ x (/ (sqrt (* (* y y) 1)) (/ 1 y))) (/ (/ x y) y) (/ x y) (/ (/ x (sqrt y)) (pow y 3/2)) (/ x (sqrt y)) (sqrt y) (pow y 3/2) (* y y)) |
| 2.0ms | y | @ | 0 | ((/ x 1) (* (/ x 1) (pow y -2)) (pow y -2) (/ (sqrt (* (* y y) 1)) (/ 1 y)) (sqrt (* (* y y) 1)) (* (* y y) 1) (/ x (/ (sqrt (* (* y y) 1)) (/ 1 y))) (/ (/ x y) y) (/ x y) (/ (/ x (sqrt y)) (pow y 3/2)) (/ x (sqrt y)) (sqrt y) (pow y 3/2) (* y y)) |
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 56 |
| 1 | 50 | 53 |
| 2 | 110 | 52 |
| 3 | 245 | 52 |
| 4 | 675 | 52 |
| 5 | 1706 | 52 |
| 6 | 2276 | 52 |
| 7 | 2705 | 52 |
| 8 | 2763 | 52 |
| 9 | 2770 | 52 |
| 10 | 2775 | 52 |
| 11 | 3300 | 52 |
| 12 | 3395 | 52 |
| 13 | 3483 | 52 |
| 14 | 3559 | 52 |
| 15 | 3559 | 52 |
| 16 | 4926 | 52 |
| 17 | 5044 | 52 |
| 18 | 5066 | 52 |
| 19 | 5070 | 52 |
| 20 | 5110 | 52 |
| 21 | 5110 | 52 |
| 22 | 5133 | 52 |
| 23 | 5133 | 52 |
| 24 | 5290 | 52 |
| 25 | 5354 | 52 |
| 26 | 5354 | 52 |
| 27 | 5354 | 52 |
| 0 | 5354 | 52 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
x |
(/ x (pow y 2)) |
(/ x y) |
(* x (sqrt (/ 1 y))) |
(/ 1 (pow y 2)) |
(pow y 2) |
y |
(sqrt y) |
(sqrt (pow y 3)) |
(* -1 (pow y 2)) |
(* -1 y) |
(* -1 (/ x (pow y 2))) |
(/ x (* (pow y 2) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
| Outputs |
|---|
x |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(/ x y) |
(/.f64 x y) |
(* x (sqrt (/ 1 y))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x) |
(/ 1 (pow y 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) y) |
(pow y 2) |
(*.f64 y y) |
y |
(sqrt y) |
(sqrt.f64 y) |
(sqrt (pow y 3)) |
(sqrt.f64 (pow.f64 y #s(literal 3 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 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 74 |
| 0 | 35 | 49 |
| 1 | 97 | 47 |
| 2 | 350 | 46 |
| 3 | 1462 | 46 |
| 4 | 7610 | 46 |
| 0 | 8013 | 46 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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 (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 (/.f64 x y) y) |
(/.f64 x y) |
(/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64))) |
(/.f64 x (sqrt.f64 y)) |
(sqrt.f64 y) |
(pow.f64 y #s(literal 3/2 binary64)) |
(*.f64 y y) |
| Outputs |
|---|
(*.f64 (neg.f64 x) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 x)) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 x #s(literal 1 binary64)) |
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(fma.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (sqrt.f64 y)) #s(literal 1 binary64) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (sqrt.f64 y))) |
(fma.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (neg.f64 (sqrt.f64 y))) #s(literal -1 binary64) (*.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 y))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (neg.f64 (sqrt.f64 y))) #s(literal 1 binary64) (*.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 y))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (sqrt.f64 y)) #s(literal -1 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (neg.f64 (sqrt.f64 y)))) |
(fma.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (sqrt.f64 y)) #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (sqrt.f64 y))) |
(fma.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y)))) (neg.f64 (sqrt.f64 y)) (*.f64 (sinh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (neg.f64 (sqrt.f64 y)))) |
(fma.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y)))) (sqrt.f64 y) (*.f64 (sinh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (sqrt.f64 y))) |
(fma.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 y))) (pow.f64 y #s(literal 3/2 binary64)))) |
(fma.f64 (cosh.f64 (log.f64 y)) y (*.f64 (sinh.f64 (log.f64 y)) y)) |
(fma.f64 (cosh.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 y))) (pow.f64 y #s(literal 5/4 binary64)) (*.f64 (sinh.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 y))) (pow.f64 y #s(literal 5/4 binary64)))) |
(fma.f64 (pow.f64 y #s(literal 5/4 binary64)) (cosh.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 y))) (*.f64 (pow.f64 y #s(literal 5/4 binary64)) (sinh.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 y))))) |
(fma.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 y)) (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (neg.f64 (sqrt.f64 y)))) |
(fma.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (sqrt.f64 y) (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (sqrt.f64 y))) |
(fma.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (neg.f64 (sqrt.f64 y)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 y)))) |
(fma.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (sqrt.f64 y) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (sqrt.f64 y))) |
(fma.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))) |
(fma.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))) |
(fma.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y)))) (*.f64 (neg.f64 (sqrt.f64 y)) (sinh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))))) |
(fma.f64 (neg.f64 (sqrt.f64 y)) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (neg.f64 (sqrt.f64 y)))) |
(fma.f64 (neg.f64 (sqrt.f64 y)) (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 y)))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (log.f64 y)) (cosh.f64 (log.f64 y))) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (sqrt.f64 y)) (*.f64 #s(literal -1 binary64) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (sqrt.f64 y)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (neg.f64 (sqrt.f64 y))) (*.f64 #s(literal -1 binary64) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 y))))) |
(fma.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (*.f64 #s(literal -1 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (cosh.f64 (log.f64 (sqrt.f64 y))) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sinh.f64 (log.f64 (sqrt.f64 y))))) |
(fma.f64 (sqrt.f64 y) (neg.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y)))) (*.f64 (sqrt.f64 y) (sinh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))))) |
(fma.f64 (sqrt.f64 y) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (sqrt.f64 y))) |
(fma.f64 (sqrt.f64 y) (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (sqrt.f64 y))) |
(fma.f64 y (cosh.f64 (log.f64 y)) (*.f64 y (sinh.f64 (log.f64 y)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (sqrt.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (sqrt.f64 y)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (neg.f64 (sqrt.f64 y))) (*.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 y))))) |
(fma.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (*.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))) |
(sqrt.f64 (pow.f64 y #s(literal 4 binary64))) |
(-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (sqrt.f64 y)) (*.f64 (sinh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (sqrt.f64 y))) |
(-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (sqrt.f64 y)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 y)))) |
(-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (neg.f64 (sqrt.f64 y))) (*.f64 (sinh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (neg.f64 (sqrt.f64 y)))) |
(-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (neg.f64 (sqrt.f64 y))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (sqrt.f64 y))) |
(-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)))) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) |
(+.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 (*.f64 (cosh.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 y))) (pow.f64 y #s(literal 5/4 binary64))) (*.f64 (sinh.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 y))) (pow.f64 y #s(literal 5/4 binary64)))) |
(+.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (neg.f64 (sqrt.f64 y))) #s(literal -1 binary64)) (*.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 y))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (pow.f64 y #s(literal 3/2 binary64))) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 y))) (pow.f64 y #s(literal 3/2 binary64)))) |
(+.f64 (*.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y)))) (sqrt.f64 y)) (*.f64 (sinh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (sqrt.f64 y))) |
(+.f64 (*.f64 (cosh.f64 (log.f64 y)) y) (*.f64 (sinh.f64 (log.f64 y)) y)) |
(+.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (neg.f64 (sqrt.f64 y))) #s(literal 1 binary64)) (*.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 y))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y)))) (neg.f64 (sqrt.f64 y))) (*.f64 (sinh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (neg.f64 (sqrt.f64 y)))) |
(+.f64 (*.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) (*.f64 #s(literal -1 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) (*.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))) |
(+.f64 (*.f64 (pow.f64 y #s(literal 5/4 binary64)) (cosh.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 y)))) (*.f64 (pow.f64 y #s(literal 5/4 binary64)) (sinh.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 y))))) |
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (sqrt.f64 y))) (*.f64 #s(literal -1 binary64) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (sqrt.f64 y)))) |
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (neg.f64 (sqrt.f64 y)))) (*.f64 #s(literal -1 binary64) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 y))))) |
(+.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (cosh.f64 (log.f64 (sqrt.f64 y)))) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sinh.f64 (log.f64 (sqrt.f64 y))))) |
(+.f64 (*.f64 (sqrt.f64 y) (neg.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))))) (*.f64 (sqrt.f64 y) (sinh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))))) |
(+.f64 (*.f64 y (cosh.f64 (log.f64 y))) (*.f64 y (sinh.f64 (log.f64 y)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (sqrt.f64 y))) (*.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (sqrt.f64 y)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (neg.f64 (sqrt.f64 y)))) (*.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 y))))) |
(+.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))))) (*.f64 (neg.f64 (sqrt.f64 y)) (sinh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))))) |
(+.f64 (/.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal -1 binary64)) (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)))) |
(+.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (sqrt.f64 y)) #s(literal -1 binary64)) (/.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (sqrt.f64 y)) #s(literal -1 binary64))) |
(+.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (neg.f64 (sqrt.f64 y))) #s(literal -1 binary64)) (/.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 y))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (neg.f64 (sqrt.f64 y))) #s(literal 1 binary64)) (/.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 y))) #s(literal 1 binary64))) |
(+.f64 (/.f64 (cosh.f64 (log.f64 y)) (pow.f64 y #s(literal -1 binary64))) (/.f64 (sinh.f64 (log.f64 y)) (pow.f64 y #s(literal -1 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 (neg.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (sqrt.f64 y)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (sqrt.f64 y))) |
(+.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 y))) (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (neg.f64 (sqrt.f64 y)))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (neg.f64 (sqrt.f64 y))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 y)))) |
(+.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (sqrt.f64 y)) (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (sqrt.f64 y))) |
(+.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) |
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (/.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)))) |
Compiled 15 433 to 2 754 computations (82.2% saved)
14 alts after pruning (12 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 963 | 12 | 975 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 1 | 4 |
| Done | 0 | 1 | 1 |
| Total | 966 | 14 | 980 |
| Status | Accuracy | Program |
|---|---|---|
| 99.6% | (/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) | |
| 99.7% | (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) | |
| 99.0% | (/.f64 (/.f64 x (pow.f64 y #s(literal 7/8 binary64))) (pow.f64 y #s(literal 9/8 binary64))) | |
| 94.6% | (/.f64 (/.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) y)) | |
| ▶ | 81.1% | (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 (*.f64 y y) y))) |
| ✓ | 99.8% | (/.f64 (/.f64 x y) y) |
| ▶ | 99.8% | (/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) y) |
| 95.0% | (/.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) (sqrt.f64 y)) | |
| 88.8% | (/.f64 x (/.f64 y (/.f64 #s(literal 1 binary64) y))) | |
| ✓ | 88.8% | (/.f64 x (*.f64 y y)) |
| ▶ | 99.7% | (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) |
| 98.0% | (*.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal -3/4 binary64))) | |
| ▶ | 88.8% | (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
| ▶ | 88.8% | (*.f64 (/.f64 x #s(literal 1 binary64)) #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) |
Compiled 228 to 182 computations (20.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (pow.f64 y #s(literal -1 binary64)) | |
| cost-diff | 2 | (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) | |
| cost-diff | 0 | (sqrt.f64 y) | |
| cost-diff | 0 | (/.f64 x (sqrt.f64 y)) | |
| cost-diff | 0 | (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 (*.f64 y y) y))) | |
| cost-diff | 2 | (*.f64 (*.f64 y y) 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 | 24 | 126 |
| 0 | 41 | 120 |
| 1 | 65 | 104 |
| 2 | 122 | 104 |
| 3 | 264 | 96 |
| 4 | 528 | 96 |
| 5 | 796 | 96 |
| 6 | 871 | 96 |
| 7 | 950 | 96 |
| 8 | 1235 | 96 |
| 9 | 1512 | 96 |
| 10 | 1763 | 96 |
| 11 | 1763 | 96 |
| 0 | 1763 | 96 |
| 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 x (sqrt.f64 y)) (sqrt.f64 (*.f64 (*.f64 y y) y))) |
(/.f64 x (sqrt.f64 y)) |
x |
(sqrt.f64 y) |
y |
(sqrt.f64 (*.f64 (*.f64 y y) y)) |
(*.f64 (*.f64 y y) y) |
(*.f64 y y) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) |
(pow.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
(/.f64 x y) |
x |
| 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 x (sqrt.f64 y)) (sqrt.f64 (*.f64 (*.f64 y y) y))) |
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 x (sqrt.f64 y)) |
x |
(sqrt.f64 y) |
y |
(sqrt.f64 (*.f64 (*.f64 y y) y)) |
(sqrt.f64 (pow.f64 y #s(literal 3 binary64))) |
(*.f64 (*.f64 y y) y) |
(pow.f64 y #s(literal 3 binary64)) |
(*.f64 y y) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) x) |
(pow.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
(/.f64 x y) |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 y #s(literal -1 binary64)) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.16015625 | (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) | |
| accuracy | 0.08203125 | (*.f64 (*.f64 y y) y) | |
| accuracy | 0.20703125 | (/.f64 x (sqrt.f64 y)) | |
| accuracy | 3.3756612980751646 | (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 (*.f64 y y) y))) | |
| accuracy | 18.8768684925591 | (sqrt.f64 (*.f64 (*.f64 y 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 | 0.12109375 | (/.f64 (/.f64 #s(literal 1 binary64) y) y) | |
| accuracy | 7.120594238756262 | (*.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 | 0.2859025083557738 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| accuracy | 7.120594238756262 | (*.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 | 0.12109375 | (/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) y) | |
| accuracy | 0.1875 | (*.f64 (pow.f64 y #s(literal -1 binary64)) x) |
| 43.0ms | 256× | 0 | valid |
Compiled 116 to 25 computations (78.4% saved)
ival-div: 11.0ms (38.3% of total)ival-mult: 8.0ms (27.9% of total)ival-pow: 6.0ms (20.9% of total)ival-sqrt: 3.0ms (10.4% 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 (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 y y) y) |
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 (*.f64 y y) y))) |
(/.f64 x (sqrt.f64 y)) |
(sqrt.f64 y) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) |
(/.f64 x y) |
(/.f64 #s(literal 1 binary64) y) |
(sqrt.f64 (*.f64 (*.f64 y y) y)) |
| Outputs |
|---|
(/ x y) |
(/ x (pow y 2)) |
x |
(* x (sqrt (/ 1 y))) |
(/ 1 y) |
(/ 1 (pow y 2)) |
(pow y 2) |
(pow y 3) |
(sqrt y) |
(sqrt (pow y 3)) |
(/ x (* (pow y 2) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | 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) (* (* y y) y) (/ (/ x (sqrt y)) (sqrt (* (* y y) y))) (/ x (sqrt y)) (sqrt y) (* (pow y -1) (/ x y)) (/ x y) (/ 1 y) (sqrt (* (* y y) y))) |
| 2.0ms | 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) (* (* y y) y) (/ (/ x (sqrt y)) (sqrt (* (* y y) y))) (/ x (sqrt y)) (sqrt y) (* (pow y -1) (/ x y)) (/ x y) (/ 1 y) (sqrt (* (* y y) y))) |
| 2.0ms | 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) (* (* y y) y) (/ (/ x (sqrt y)) (sqrt (* (* y y) y))) (/ x (sqrt y)) (sqrt y) (* (pow y -1) (/ x y)) (/ x y) (/ 1 y) (sqrt (* (* y y) y))) |
| 1.0ms | 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) (* (* y y) y) (/ (/ x (sqrt y)) (sqrt (* (* y y) y))) (/ x (sqrt y)) (sqrt y) (* (pow y -1) (/ x y)) (/ x y) (/ 1 y) (sqrt (* (* y y) y))) |
| 1.0ms | 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) (* (* y y) y) (/ (/ x (sqrt y)) (sqrt (* (* y y) y))) (/ x (sqrt y)) (sqrt y) (* (pow y -1) (/ x y)) (/ x y) (/ 1 y) (sqrt (* (* y y) y))) |
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 51 |
| 1 | 39 | 48 |
| 2 | 87 | 47 |
| 3 | 198 | 47 |
| 4 | 501 | 47 |
| 5 | 1022 | 47 |
| 6 | 1167 | 47 |
| 7 | 1245 | 47 |
| 8 | 1293 | 47 |
| 9 | 1448 | 47 |
| 10 | 2050 | 47 |
| 11 | 2388 | 47 |
| 12 | 2474 | 47 |
| 13 | 2578 | 47 |
| 14 | 2672 | 47 |
| 15 | 2672 | 47 |
| 0 | 2672 | 47 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ x y) |
(/ x (pow y 2)) |
x |
(* x (sqrt (/ 1 y))) |
(/ 1 y) |
(/ 1 (pow y 2)) |
(pow y 2) |
(pow y 3) |
(sqrt y) |
(sqrt (pow y 3)) |
(/ x (* (pow y 2) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
| Outputs |
|---|
(/ x y) |
(/.f64 x y) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
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) |
(pow y 3) |
(pow.f64 y #s(literal 3 binary64)) |
(sqrt y) |
(sqrt.f64 y) |
(sqrt (pow y 3)) |
(sqrt.f64 (pow.f64 y #s(literal 3 binary64))) |
(/ x (* (pow y 2) (pow (sqrt -1) 2))) |
(/.f64 (/.f64 x y) y) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 103 |
| 0 | 41 | 91 |
| 1 | 105 | 70 |
| 2 | 439 | 70 |
| 0 | 2200 | 70 |
| 1× | iter limit |
| 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 y y) y) |
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 (*.f64 y y) y))) |
(/.f64 x (sqrt.f64 y)) |
(sqrt.f64 y) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) |
(/.f64 x y) |
(/.f64 #s(literal 1 binary64) y) |
(sqrt.f64 (*.f64 (*.f64 y y) y)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) (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 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 #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) (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 (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 (neg.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) |
(*.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) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.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 (neg.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 (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 (pow.f64 y #s(literal -1/2 binary64)) x)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (neg.f64 x))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) x)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) #s(literal -1 binary64))) |
(*.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)) (neg.f64 (*.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)) x)) |
(*.f64 (neg.f64 x) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 (/.f64 x y) #s(literal -1 binary64)) |
(*.f64 x (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 x (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 x (pow.f64 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 (neg.f64 x) y) |
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 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 (neg.f64 (log.f64 y))) (neg.f64 x) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) (neg.f64 x))) |
(fma.f64 (cosh.f64 (neg.f64 (log.f64 y))) x (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) x)) |
(fma.f64 (neg.f64 x) (cosh.f64 (neg.f64 (log.f64 y))) (*.f64 (neg.f64 x) (sinh.f64 (neg.f64 (log.f64 y))))) |
(fma.f64 x (cosh.f64 (neg.f64 (log.f64 y))) (*.f64 x (sinh.f64 (neg.f64 (log.f64 y))))) |
(+.f64 (*.f64 (cosh.f64 (neg.f64 (log.f64 y))) (neg.f64 x)) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) (neg.f64 x))) |
(+.f64 (*.f64 (cosh.f64 (neg.f64 (log.f64 y))) x) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) x)) |
(+.f64 (*.f64 (neg.f64 x) (cosh.f64 (neg.f64 (log.f64 y)))) (*.f64 (neg.f64 x) (sinh.f64 (neg.f64 (log.f64 y))))) |
(+.f64 (*.f64 x (cosh.f64 (neg.f64 (log.f64 y)))) (*.f64 x (sinh.f64 (neg.f64 (log.f64 y))))) |
(*.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal -3/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64))) |
(*.f64 (*.f64 (/.f64 x y) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (/.f64 x y) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) y)) |
(*.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -3/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x y)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) |
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 x))) |
(*.f64 (pow.f64 y #s(literal -3/2 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)) y)) |
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (pow.f64 y #s(literal -3/2 binary64))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) (pow.f64 y #s(literal -1/2 binary64))) |
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(*.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 (pow.f64 y #s(literal -1/2 binary64)) x)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (neg.f64 x))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) x)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) #s(literal -1 binary64))) |
(*.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)) (neg.f64 (*.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)) x)) |
(*.f64 (neg.f64 x) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 (/.f64 x y) #s(literal -1 binary64)) |
(*.f64 x (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 x (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 x (pow.f64 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 (neg.f64 x) y) |
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 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 (neg.f64 (log.f64 y))) (neg.f64 x) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) (neg.f64 x))) |
(fma.f64 (cosh.f64 (neg.f64 (log.f64 y))) x (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) x)) |
(fma.f64 (neg.f64 x) (cosh.f64 (neg.f64 (log.f64 y))) (*.f64 (neg.f64 x) (sinh.f64 (neg.f64 (log.f64 y))))) |
(fma.f64 x (cosh.f64 (neg.f64 (log.f64 y))) (*.f64 x (sinh.f64 (neg.f64 (log.f64 y))))) |
(+.f64 (*.f64 (cosh.f64 (neg.f64 (log.f64 y))) (neg.f64 x)) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) (neg.f64 x))) |
(+.f64 (*.f64 (cosh.f64 (neg.f64 (log.f64 y))) x) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) x)) |
(+.f64 (*.f64 (neg.f64 x) (cosh.f64 (neg.f64 (log.f64 y)))) (*.f64 (neg.f64 x) (sinh.f64 (neg.f64 (log.f64 y))))) |
(+.f64 (*.f64 x (cosh.f64 (neg.f64 (log.f64 y)))) (*.f64 x (sinh.f64 (neg.f64 (log.f64 y))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) |
(pow.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(pow.f64 y #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (neg.f64 (log.f64 y))) (cosh.f64 (neg.f64 (log.f64 y)))) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) (sinh.f64 (neg.f64 (log.f64 y))))) (-.f64 (cosh.f64 (neg.f64 (log.f64 y))) (sinh.f64 (neg.f64 (log.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (neg.f64 (log.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 (log.f64 y))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (neg.f64 (log.f64 y))) (cosh.f64 (neg.f64 (log.f64 y))) (-.f64 (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) (sinh.f64 (neg.f64 (log.f64 y)))) (*.f64 (cosh.f64 (neg.f64 (log.f64 y))) (sinh.f64 (neg.f64 (log.f64 y))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(neg.f64 (pow.f64 y #s(literal -1 binary64))) |
(fma.f64 (cosh.f64 (neg.f64 (log.f64 y))) #s(literal 1 binary64) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) #s(literal 1 binary64))) |
(fma.f64 (cosh.f64 (neg.f64 (log.f64 y))) #s(literal -1 binary64) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cosh.f64 (neg.f64 (log.f64 y))) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 (log.f64 y))))) |
(fma.f64 #s(literal -1 binary64) (cosh.f64 (neg.f64 (log.f64 y))) (*.f64 #s(literal -1 binary64) (sinh.f64 (neg.f64 (log.f64 y))))) |
(sqrt.f64 (pow.f64 y #s(literal -2 binary64))) |
(fabs.f64 (pow.f64 y #s(literal -1 binary64))) |
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/2 binary64))) |
(exp.f64 (neg.f64 (log.f64 y))) |
(+.f64 (*.f64 (cosh.f64 (neg.f64 (log.f64 y))) #s(literal 1 binary64)) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (cosh.f64 (neg.f64 (log.f64 y))) #s(literal -1 binary64)) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 (neg.f64 (log.f64 y)))) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 (log.f64 y))))) |
(+.f64 (*.f64 #s(literal -1 binary64) (cosh.f64 (neg.f64 (log.f64 y)))) (*.f64 #s(literal -1 binary64) (sinh.f64 (neg.f64 (log.f64 y))))) |
(+.f64 (neg.f64 (cosh.f64 (neg.f64 (log.f64 y)))) (neg.f64 (sinh.f64 (neg.f64 (log.f64 y))))) |
(+.f64 (sinh.f64 (neg.f64 (log.f64 y))) (cosh.f64 (neg.f64 (log.f64 y)))) |
(+.f64 (cosh.f64 (neg.f64 (log.f64 y))) (sinh.f64 (neg.f64 (log.f64 y)))) |
(*.f64 (*.f64 y (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64))) (neg.f64 (pow.f64 y #s(literal 3/4 binary64)))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))) |
(*.f64 (fabs.f64 (pow.f64 y #s(literal 3/4 binary64))) (fabs.f64 (pow.f64 y #s(literal 3/4 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (pow.f64 y #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) y)) |
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (neg.f64 (pow.f64 y #s(literal 3/4 binary64)))) |
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (pow.f64 y #s(literal 3/4 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 y)) y) |
(*.f64 (sqrt.f64 y) y) |
(*.f64 y (neg.f64 (sqrt.f64 y))) |
(*.f64 y (sqrt.f64 y)) |
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 y) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 y #s(literal 3/2 binary64)) |
(neg.f64 (pow.f64 y #s(literal 3/2 binary64))) |
(sqrt.f64 (pow.f64 y #s(literal 3 binary64))) |
(fabs.f64 (pow.f64 y #s(literal 3/2 binary64))) |
(exp.f64 (/.f64 (*.f64 #s(literal 3 binary64) (log.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 y)) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 y)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 y)) #s(literal 1/2 binary64)))) |
Compiled 5 756 to 1 124 computations (80.5% saved)
13 alts after pruning (10 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 447 | 4 | 451 |
| Fresh | 1 | 6 | 7 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 452 | 13 | 465 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) |
| 99.7% | (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) | |
| 99.0% | (/.f64 (/.f64 x (pow.f64 y #s(literal 7/8 binary64))) (pow.f64 y #s(literal 9/8 binary64))) | |
| 94.6% | (/.f64 (/.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) y)) | |
| ✓ | 81.1% | (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 (*.f64 y y) y))) |
| ✓ | 99.8% | (/.f64 (/.f64 x y) y) |
| 95.0% | (/.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) (sqrt.f64 y)) | |
| ▶ | 99.8% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) |
| ✓ | 88.8% | (/.f64 x (*.f64 y y)) |
| ▶ | 98.0% | (*.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal -3/4 binary64))) |
| ▶ | 99.7% | (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) |
| ▶ | 88.8% | (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 88.8% | (*.f64 x #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) |
Compiled 195 to 158 computations (19% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 y #s(literal -3/4 binary64)) | |
| cost-diff | 0 | (pow.f64 y #s(literal 5/4 binary64)) | |
| cost-diff | 0 | (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal -3/4 binary64))) | |
| cost-diff | 0 | (sqrt.f64 y) | |
| cost-diff | 0 | (/.f64 x (sqrt.f64 y)) | |
| cost-diff | 0 | (/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) | |
| cost-diff | 4 | (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 2 | (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x 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 | 21 | 100 |
| 0 | 37 | 98 |
| 1 | 60 | 84 |
| 2 | 100 | 84 |
| 3 | 277 | 84 |
| 4 | 710 | 84 |
| 5 | 1235 | 84 |
| 6 | 1325 | 84 |
| 7 | 1346 | 84 |
| 8 | 1416 | 84 |
| 9 | 1480 | 84 |
| 10 | 1505 | 84 |
| 0 | 1505 | 84 |
| 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 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(/.f64 x y) |
x |
(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) |
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 x (sqrt.f64 y)) |
x |
(sqrt.f64 y) |
y |
(*.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal -3/4 binary64))) |
(/.f64 x (pow.f64 y #s(literal 5/4 binary64))) |
x |
(pow.f64 y #s(literal 5/4 binary64)) |
y |
#s(literal 5/4 binary64) |
(pow.f64 y #s(literal -3/4 binary64)) |
#s(literal -3/4 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) |
(/.f64 x (*.f64 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 x (*.f64 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 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) |
(/.f64 x (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(/.f64 x y) |
x |
(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 x y) |
(/.f64 x (sqrt.f64 y)) |
x |
(sqrt.f64 y) |
y |
(*.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal -3/4 binary64))) |
(*.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 x (pow.f64 y #s(literal 5/4 binary64)))) |
(/.f64 x (pow.f64 y #s(literal 5/4 binary64))) |
x |
(pow.f64 y #s(literal 5/4 binary64)) |
y |
#s(literal 5/4 binary64) |
(pow.f64 y #s(literal -3/4 binary64)) |
#s(literal -3/4 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 y #s(literal 5/4 binary64)) | |
| accuracy | 0.0 | (pow.f64 y #s(literal -3/4 binary64)) | |
| accuracy | 0.181972509768442 | (*.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal -3/4 binary64))) | |
| accuracy | 6.037643153531985 | (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) | |
| accuracy | 0.0 | (sqrt.f64 y) | |
| accuracy | 0.12109375 | (/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) | |
| accuracy | 0.20703125 | (/.f64 x (sqrt.f64 y)) | |
| accuracy | 0.25390625 | (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.16015625 | (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.2859025083557738 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| accuracy | 7.120594238756262 | (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.12109375 | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) | |
| accuracy | 0.1875 | (*.f64 (/.f64 #s(literal 1 binary64) y) x) |
| 82.0ms | 256× | 0 | valid |
Compiled 102 to 23 computations (77.5% saved)
ival-div: 12.0ms (37% of total)ival-pow: 10.0ms (30.8% of total)ival-mult: 8.0ms (24.7% of total)ival-sqrt: 2.0ms (6.2% 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 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) |
(/.f64 x y) |
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) |
(/.f64 x (sqrt.f64 y)) |
(sqrt.f64 y) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal -3/4 binary64))) |
(/.f64 x (pow.f64 y #s(literal 5/4 binary64))) |
(pow.f64 y #s(literal 5/4 binary64)) |
(pow.f64 y #s(literal -3/4 binary64)) |
| Outputs |
|---|
(/ x y) |
(/ x (pow y 2)) |
(* x (sqrt (/ 1 y))) |
(* (pow (/ 1 (pow y 5)) 1/4) x) |
(/ 1 y) |
(/ 1 (pow y 2)) |
(pow y 2) |
(sqrt y) |
(pow (* 1 (pow y 5)) 1/4) |
(pow (/ 1 (pow y 3)) 1/4) |
(* -1 (/ x (* y (pow (sqrt -1) 2)))) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(/ (* x (sqrt -1)) (pow y 2)) |
(* x (exp (* 1/4 (+ (log -1) (* 5 (log (/ -1 y))))))) |
(exp (* 1/4 (+ (log -1) (* -5 (log (/ -1 y)))))) |
(exp (* 1/4 (+ (log -1) (* 3 (log (/ -1 y)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 86.0ms | y | @ | -inf | ((* (/ 1 y) x) (/ (* (/ 1 y) x) y) (/ 1 y) (* x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* (/ 1 y) (/ x y)) (/ x y) (/ (/ x (sqrt y)) (sqrt y)) (/ (/ (/ x (sqrt y)) (sqrt y)) y) (/ x (sqrt y)) (sqrt y) (* (/ x (pow y 5/4)) (pow y -3/4)) (/ x (pow y 5/4)) (pow y 5/4) (pow y -3/4)) |
| 61.0ms | x | @ | 0 | ((* (/ 1 y) x) (/ (* (/ 1 y) x) y) (/ 1 y) (* x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* (/ 1 y) (/ x y)) (/ x y) (/ (/ x (sqrt y)) (sqrt y)) (/ (/ (/ x (sqrt y)) (sqrt y)) y) (/ x (sqrt y)) (sqrt y) (* (/ x (pow y 5/4)) (pow y -3/4)) (/ x (pow y 5/4)) (pow y 5/4) (pow y -3/4)) |
| 47.0ms | y | @ | inf | ((* (/ 1 y) x) (/ (* (/ 1 y) x) y) (/ 1 y) (* x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* (/ 1 y) (/ x y)) (/ x y) (/ (/ x (sqrt y)) (sqrt y)) (/ (/ (/ x (sqrt y)) (sqrt y)) y) (/ x (sqrt y)) (sqrt y) (* (/ x (pow y 5/4)) (pow y -3/4)) (/ x (pow y 5/4)) (pow y 5/4) (pow y -3/4)) |
| 27.0ms | y | @ | 0 | ((* (/ 1 y) x) (/ (* (/ 1 y) x) y) (/ 1 y) (* x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* (/ 1 y) (/ x y)) (/ x y) (/ (/ x (sqrt y)) (sqrt y)) (/ (/ (/ x (sqrt y)) (sqrt y)) y) (/ x (sqrt y)) (sqrt y) (* (/ x (pow y 5/4)) (pow y -3/4)) (/ x (pow y 5/4)) (pow y 5/4) (pow y -3/4)) |
| 20.0ms | x | @ | -inf | ((* (/ 1 y) x) (/ (* (/ 1 y) x) y) (/ 1 y) (* x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* (/ 1 y) (/ x y)) (/ x y) (/ (/ x (sqrt y)) (sqrt y)) (/ (/ (/ x (sqrt y)) (sqrt y)) y) (/ x (sqrt y)) (sqrt y) (* (/ x (pow y 5/4)) (pow y -3/4)) (/ x (pow y 5/4)) (pow y 5/4) (pow y -3/4)) |
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 96 |
| 1 | 129 | 96 |
| 2 | 366 | 90 |
| 3 | 938 | 90 |
| 4 | 3795 | 84 |
| 0 | 8522 | 84 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x y) |
(/ x (pow y 2)) |
(* x (sqrt (/ 1 y))) |
(* (pow (/ 1 (pow y 5)) 1/4) x) |
(/ 1 y) |
(/ 1 (pow y 2)) |
(pow y 2) |
(sqrt y) |
(pow (* 1 (pow y 5)) 1/4) |
(pow (/ 1 (pow y 3)) 1/4) |
(* -1 (/ x (* y (pow (sqrt -1) 2)))) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(/ (* x (sqrt -1)) (pow y 2)) |
(* x (exp (* 1/4 (+ (log -1) (* 5 (log (/ -1 y))))))) |
(exp (* 1/4 (+ (log -1) (* -5 (log (/ -1 y)))))) |
(exp (* 1/4 (+ (log -1) (* 3 (log (/ -1 y)))))) |
| Outputs |
|---|
(/ x y) |
(/.f64 x y) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(* x (sqrt (/ 1 y))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x) |
(* (pow (/ 1 (pow y 5)) 1/4) x) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) #s(literal 1/4 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 5)) 1/4) |
(pow.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/4 binary64)) |
(pow (/ 1 (pow y 3)) 1/4) |
(pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3/4 binary64)) |
(* -1 (/ x (* y (pow (sqrt -1) 2)))) |
(/.f64 x y) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(/.f64 (/.f64 x y) y) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
(/ (* x (sqrt -1)) (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(* x (exp (* 1/4 (+ (log -1) (* 5 (log (/ -1 y))))))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 5 binary64))) #s(literal 1/4 binary64)) x) |
(exp (* 1/4 (+ (log -1) (* -5 (log (/ -1 y)))))) |
(pow.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -5 binary64))) #s(literal 1/4 binary64)) |
(exp (* 1/4 (+ (log -1) (* 3 (log (/ -1 y)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3/4 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 82 |
| 0 | 37 | 78 |
| 1 | 98 | 60 |
| 2 | 333 | 60 |
| 3 | 1398 | 60 |
| 4 | 7244 | 60 |
| 0 | 8018 | 60 |
| 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 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) |
(/.f64 x y) |
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) |
(/.f64 x (sqrt.f64 y)) |
(sqrt.f64 y) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal -3/4 binary64))) |
(/.f64 x (pow.f64 y #s(literal 5/4 binary64))) |
(pow.f64 y #s(literal 5/4 binary64)) |
(pow.f64 y #s(literal -3/4 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 y #s(literal -3/16 binary64)) x) (/.f64 (pow.f64 y #s(literal -3/16 binary64)) (neg.f64 (pow.f64 y #s(literal 5/8 binary64))))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -3/16 binary64)) x) (/.f64 (pow.f64 y #s(literal -3/16 binary64)) (pow.f64 y #s(literal 5/8 binary64)))) |
(*.f64 (*.f64 x (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (sqrt.f64 y))) |
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -3/4 binary64)) x)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 y))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 5/8 binary64))) (pow.f64 y #s(literal -3/8 binary64))) |
(*.f64 (pow.f64 y #s(literal -3/8 binary64)) (*.f64 (neg.f64 x) (pow.f64 y #s(literal -5/8 binary64)))) |
(*.f64 (pow.f64 y #s(literal -3/8 binary64)) (/.f64 x (pow.f64 y #s(literal 5/8 binary64)))) |
(*.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 x y)) |
(*.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (/.f64 x y) #s(literal -1 binary64)) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 x (pow.f64 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 (/.f64 (*.f64 (pow.f64 y #s(literal -3/4 binary64)) x) (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal 1/8 binary64))) |
(/.f64 (/.f64 (*.f64 (pow.f64 y #s(literal -3/8 binary64)) x) (neg.f64 (pow.f64 y #s(literal 5/16 binary64)))) (neg.f64 (pow.f64 y #s(literal 5/16 binary64)))) |
(/.f64 (/.f64 (*.f64 (pow.f64 y #s(literal -3/8 binary64)) x) (neg.f64 (pow.f64 y #s(literal 5/16 binary64)))) (pow.f64 y #s(literal 5/16 binary64))) |
(/.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -5/16 binary64))) (pow.f64 y #s(literal -3/8 binary64))) (pow.f64 y #s(literal 5/16 binary64))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (pow.f64 y #s(literal -1/4 binary64)))) (pow.f64 y #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (neg.f64 x) (pow.f64 y #s(literal -1/4 binary64)))) (pow.f64 y #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal -1/4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 3/4 binary64))) |
(/.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -1/4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 3/4 binary64))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -3/4 binary64)) x) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -3/4 binary64)) x) (pow.f64 y #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -3/8 binary64)) (neg.f64 x)) (neg.f64 (pow.f64 y #s(literal 5/8 binary64)))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -3/8 binary64)) (neg.f64 x)) (pow.f64 y #s(literal 5/8 binary64))) |
(/.f64 (*.f64 x (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))) |
(/.f64 (*.f64 x (pow.f64 y #s(literal -11/16 binary64))) (neg.f64 (pow.f64 y #s(literal 5/16 binary64)))) |
(/.f64 (*.f64 x (pow.f64 y #s(literal -11/16 binary64))) (pow.f64 y #s(literal 5/16 binary64))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -3/8 binary64)) x) (neg.f64 (pow.f64 y #s(literal 5/8 binary64)))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -3/8 binary64)) x) (pow.f64 y #s(literal 5/8 binary64))) |
(/.f64 (neg.f64 x) y) |
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) |
(/.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 (cosh.f64 (*.f64 #s(literal -3/8 binary64) (log.f64 y))) (/.f64 x (pow.f64 y #s(literal 5/8 binary64))) (*.f64 (sinh.f64 (*.f64 #s(literal -3/8 binary64) (log.f64 y))) (/.f64 x (pow.f64 y #s(literal 5/8 binary64))))) |
(fma.f64 (/.f64 x (pow.f64 y #s(literal 5/8 binary64))) (cosh.f64 (*.f64 #s(literal -3/8 binary64) (log.f64 y))) (*.f64 (/.f64 x (pow.f64 y #s(literal 5/8 binary64))) (sinh.f64 (*.f64 #s(literal -3/8 binary64) (log.f64 y))))) |
(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 (*.f64 #s(literal -3/8 binary64) (log.f64 y))) (/.f64 x (pow.f64 y #s(literal 5/8 binary64)))) (*.f64 (sinh.f64 (*.f64 #s(literal -3/8 binary64) (log.f64 y))) (/.f64 x (pow.f64 y #s(literal 5/8 binary64))))) |
(+.f64 (*.f64 (cosh.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)) x) (*.f64 (sinh.f64 (neg.f64 (log.f64 y))) x)) |
(+.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 5/8 binary64))) (cosh.f64 (*.f64 #s(literal -3/8 binary64) (log.f64 y)))) (*.f64 (/.f64 x (pow.f64 y #s(literal 5/8 binary64))) (sinh.f64 (*.f64 #s(literal -3/8 binary64) (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 x (cosh.f64 (log.f64 y))) (*.f64 x (sinh.f64 (neg.f64 (log.f64 y))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal -3/4 binary64)) x) #s(literal 1 binary64)) (pow.f64 y #s(literal -5/4 binary64))) |
(*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal -3/4 binary64)) x) (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 5/4 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 #s(literal -5/4 binary64) (log.f64 y))) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (fma.f64 #s(literal -5/4 binary64) (log.f64 y) (*.f64 #s(literal -5/4 binary64) (log.f64 y)))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 5/4 binary64))) (cosh.f64 (*.f64 #s(literal -5/4 binary64) (log.f64 y)))))) |
(*.f64 (pow.f64 y #s(literal -13/8 binary64)) (*.f64 (pow.f64 y #s(literal -3/8 binary64)) x)) |
(*.f64 (*.f64 (pow.f64 y #s(literal -3/4 binary64)) x) (pow.f64 y #s(literal -5/4 binary64))) |
(*.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -13/8 binary64))) (pow.f64 y #s(literal -3/16 binary64))) (neg.f64 (pow.f64 y #s(literal -3/16 binary64)))) |
(*.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -13/8 binary64))) (pow.f64 y #s(literal -3/16 binary64))) (pow.f64 y #s(literal -3/16 binary64))) |
(*.f64 (*.f64 x (pow.f64 y #s(literal -13/8 binary64))) (neg.f64 (pow.f64 y #s(literal -3/8 binary64)))) |
(*.f64 (*.f64 x (pow.f64 y #s(literal -13/8 binary64))) (pow.f64 y #s(literal -3/8 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -3/8 binary64)) x) (pow.f64 y #s(literal -3/16 binary64))) (/.f64 (pow.f64 y #s(literal -3/16 binary64)) (pow.f64 y #s(literal 5/4 binary64)))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -3/8 binary64)) (neg.f64 x)) (pow.f64 y #s(literal -13/8 binary64))) |
(*.f64 (*.f64 x (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) |
(*.f64 (*.f64 x (pow.f64 y #s(literal -3/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 x (pow.f64 y #s(literal -11/16 binary64))) (/.f64 (pow.f64 y #s(literal -11/16 binary64)) (pow.f64 y #s(literal 5/8 binary64)))) |
(*.f64 (pow.f64 y #s(literal -17/16 binary64)) (/.f64 x (pow.f64 y #s(literal 15/16 binary64)))) |
(*.f64 (*.f64 x (pow.f64 y #s(literal -5/16 binary64))) (/.f64 (pow.f64 y #s(literal -17/16 binary64)) (pow.f64 y #s(literal 5/8 binary64)))) |
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 x (sqrt.f64 y))) |
(*.f64 (pow.f64 y #s(literal -11/8 binary64)) (*.f64 (neg.f64 x) (pow.f64 y #s(literal -5/8 binary64)))) |
(*.f64 (pow.f64 y #s(literal -11/8 binary64)) (/.f64 x (pow.f64 y #s(literal 5/8 binary64)))) |
(*.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal -5/8 binary64))) (pow.f64 y #s(literal -11/8 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -3/16 binary64))) (*.f64 (*.f64 x (pow.f64 y #s(literal -13/8 binary64))) (pow.f64 y #s(literal -3/16 binary64)))) |
(*.f64 (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 (*.f64 (pow.f64 y #s(literal -3/8 binary64)) x) (pow.f64 y #s(literal -13/8 binary64))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal -1 binary64)) |
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (pow.f64 y #s(literal -3/2 binary64)))) |
(*.f64 (pow.f64 y #s(literal -3/16 binary64)) (*.f64 (*.f64 x (pow.f64 y #s(literal -13/8 binary64))) (pow.f64 y #s(literal -3/16 binary64)))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 5/8 binary64))) (pow.f64 y #s(literal -11/8 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -3/8 binary64))) (*.f64 x (pow.f64 y #s(literal -13/8 binary64)))) |
(*.f64 (pow.f64 y #s(literal -3/8 binary64)) (*.f64 x (pow.f64 y #s(literal -13/8 binary64)))) |
(*.f64 (neg.f64 x) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) x)) |
(*.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 x (pow.f64 y #s(literal 5/4 binary64)))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal -3/4 binary64))) |
(*.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64))) |
(*.f64 (/.f64 x y) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x)) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) x) |
(*.f64 x (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) |
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) x)) |
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(+.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 y))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (fma.f64 (log.f64 y) #s(literal -3/4 binary64) (*.f64 (log.f64 y) #s(literal -3/4 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -3/4 binary64))) (cosh.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 y)))))) (/.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -3/4 binary64))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (fma.f64 (log.f64 y) #s(literal -3/4 binary64) (*.f64 (log.f64 y) #s(literal -3/4 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -3/4 binary64))) (cosh.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 y))))))) |
(+.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 y)))) (sinh.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 y)))) |
(+.f64 (sinh.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 y))) (neg.f64 (cosh.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 y))))) |
(+.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -3/4 binary64))) (cosh.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 y)))) |
(+.f64 (cosh.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -3/4 binary64)))) |
Compiled 15 176 to 2 638 computations (82.6% saved)
13 alts after pruning (6 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 925 | 3 | 928 |
| Fresh | 2 | 3 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 928 | 13 | 941 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.6% | (/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) |
| 94.6% | (/.f64 (/.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) y)) | |
| ✓ | 81.1% | (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 (*.f64 y y) y))) |
| ✓ | 99.8% | (/.f64 (/.f64 x y) y) |
| 96.3% | (/.f64 (*.f64 (pow.f64 y #s(literal -11/8 binary64)) x) (pow.f64 y #s(literal 5/8 binary64))) | |
| 95.0% | (/.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) (sqrt.f64 y)) | |
| ✓ | 99.8% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) |
| ✓ | 88.8% | (/.f64 x (*.f64 y y)) |
| 99.4% | (*.f64 (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal -4 binary64)) (/.f64 x y)) | |
| ✓ | 99.7% | (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) |
| 97.5% | (*.f64 (*.f64 (pow.f64 y #s(literal -3/4 binary64)) x) (pow.f64 y #s(literal -5/4 binary64))) | |
| ✓ | 88.8% | (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 88.8% | (*.f64 x #s(approx (pow y -2) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) |
Compiled 311 to 168 computations (46% 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 #s(literal 1 binary64) y) (/.f64 x 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 (sqrt.f64 y)) (*.f64 (sqrt.f64 y) y)) |
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 (*.f64 y y) y))) |
(/.f64 x (/.f64 (sqrt.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) y) |
(/.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) (sqrt.f64 y)) |
(/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -3/4 binary64)) x) (pow.f64 y #s(literal -5/4 binary64))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal -3/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal -4 binary64)) (/.f64 x y)) |
(/.f64 (*.f64 (pow.f64 y #s(literal -11/8 binary64)) x) (pow.f64 y #s(literal 5/8 binary64))) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 7/8 binary64))) (pow.f64 y #s(literal 9/8 binary64))) |
(/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
| Outputs |
|---|
(/.f64 (/.f64 x y) y) |
4 calls:
| 27.0ms | (/.f64 x (*.f64 y y)) |
| 6.0ms | y |
| 6.0ms | x |
| 5.0ms | (*.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 -0.1b remaining (-0.8%)
Threshold costs -0.1b (-0.8%)
| 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 y y) |
| 1.0ms | (/.f64 x (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.8% | 1 | (*.f64 y y) |
| 88.8% | 1 | (/.f64 x (*.f64 y y)) |
| 88.8% | 1 | x |
| 88.8% | 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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