
Time bar (total: 2.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 2 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 3 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 4 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 5 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 6 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 7 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 8 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 9 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 10 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 11 |
| 100% | 99.9% | 0% | 0% | 0% | 0% | 0% | 12 |
Compiled 7 to 5 computations (28.6% saved)
ival-div: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 381.0ms | 8256× | 0 | valid |
ival-mult: 135.0ms (61.6% of total)ival-div: 70.0ms (32% of total)const: 11.0ms (5% of total)backward-pass: 3.0ms (1.4% of total)| 1× | egg-herbie |
| 42× | fma-define |
| 15× | associate-/r* |
| 13× | unsub-neg |
| 13× | div-sub |
| 12× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 76 |
| 1 | 35 | 76 |
| 2 | 77 | 76 |
| 3 | 144 | 76 |
| 4 | 203 | 76 |
| 5 | 267 | 76 |
| 6 | 295 | 76 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(abs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 5 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 25.0ms | 512× | 0 | valid |
Compiled 30 to 14 computations (53.3% saved)
ival-mult: 5.0ms (52.4% of total)ival-div: 4.0ms (41.9% of total)const: 1.0ms (10.5% of total)backward-pass: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.0% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
Compiled 6 to 4 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.0% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 3× | 1-exp |
| 1× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 37 |
| 1 | 16 | 37 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
| 17.0ms | 256× | 0 | valid |
Compiled 12 to 5 computations (58.3% saved)
ival-div: 6.0ms (68.4% of total)ival-mult: 2.0ms (22.8% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x x))> |
#<alt (*.f64 x x)> |
| Outputs |
|---|
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/ 1 (* x x)) |
| 0.0ms | x | @ | 0 | (* x x) |
| 0.0ms | x | @ | inf | (/ 1 (* x x)) |
| 0.0ms | x | @ | -inf | (/ 1 (* x x)) |
| 0.0ms | x | @ | inf | (* x x) |
| 1× | batch-egg-rewrite |
| 559× | frac-times |
| 271× | unpow-prod-down |
| 259× | log1p-expm1-u |
| 259× | expm1-log1p-u |
| 248× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 1 | 78 | 20 |
| 2 | 853 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) |
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) |
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) x) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 x x) |
(*.f64 x (neg.f64 x)) |
(*.f64 x (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (E.f64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) |
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))) |
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/2 binary64))) |
(*.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x)) |
(*.f64 (neg.f64 x) x) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64))) (cbrt.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x) (/.f64 (cbrt.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) x)) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 x)) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) x) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (cbrt.f64 x) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal -2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -6 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2/3 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64)) |
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(neg.f64 (pow.f64 x #s(literal 2 binary64))) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (pow.f64 x #s(literal 2 binary64))) |
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) |
(cbrt.f64 (pow.f64 x #s(literal 6 binary64))) |
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) |
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64))) |
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) |
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) |
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) x) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) |
(/.f64 x x) |
(/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) |
(/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/2 binary64))) |
(/.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 (neg.f64 x) (neg.f64 x)) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x)) |
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal -3/2 binary64))) |
(/.f64 (sqrt.f64 (*.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -3/2 binary64))) |
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))) x) |
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (cbrt.f64 x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 x) (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (*.f64 (cbrt.f64 x) (sqrt.f64 x))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (cbrt.f64 x) (neg.f64 x))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) (neg.f64 x))) |
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal -3/2 binary64))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64))) |
(/.f64 (*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 x) (cbrt.f64 x))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))) (neg.f64 (cbrt.f64 x))) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (neg.f64 (sqrt.f64 x))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal -2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -6 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2/3 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64)) |
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(neg.f64 (pow.f64 x #s(literal 2 binary64))) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (pow.f64 x #s(literal 2 binary64))) |
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) |
(cbrt.f64 (pow.f64 x #s(literal 6 binary64))) |
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) |
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64))) |
| 1× | egg-herbie |
| 568× | times-frac |
| 409× | fma-define |
| 390× | distribute-lft-neg-in |
| 337× | distribute-rgt-neg-in |
| 286× | associate-/r* |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 242 | 25769807196 |
| 1 | 433 | 25769806689 |
| 2 | 1102 | 25769806471 |
| 3 | 4059 | 25769806296 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) |
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) |
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) x) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 x x) |
(*.f64 x (neg.f64 x)) |
(*.f64 x (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (E.f64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) |
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))) |
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/2 binary64))) |
(*.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x)) |
(*.f64 (neg.f64 x) x) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64))) (cbrt.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x) (/.f64 (cbrt.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) x)) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 x)) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) x) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (cbrt.f64 x) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal -2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -6 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2/3 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64)) |
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(neg.f64 (pow.f64 x #s(literal 2 binary64))) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (pow.f64 x #s(literal 2 binary64))) |
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) |
(cbrt.f64 (pow.f64 x #s(literal 6 binary64))) |
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) |
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64))) |
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) |
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) |
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) x) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) |
(/.f64 x x) |
(/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) |
(/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/2 binary64))) |
(/.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 (neg.f64 x) (neg.f64 x)) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x)) |
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal -3/2 binary64))) |
(/.f64 (sqrt.f64 (*.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -3/2 binary64))) |
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))) x) |
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (cbrt.f64 x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 x) (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (*.f64 (cbrt.f64 x) (sqrt.f64 x))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (cbrt.f64 x) (neg.f64 x))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) (neg.f64 x))) |
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal -3/2 binary64))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64))) |
(/.f64 (*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 x) (cbrt.f64 x))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))) (neg.f64 (cbrt.f64 x))) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (neg.f64 (sqrt.f64 x))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal -2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -6 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2/3 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64)) |
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(neg.f64 (pow.f64 x #s(literal 2 binary64))) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (pow.f64 x #s(literal 2 binary64))) |
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) |
(cbrt.f64 (pow.f64 x #s(literal 6 binary64))) |
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) |
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) |
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#s(literal 1 binary64) |
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#s(literal 1 binary64) |
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#s(literal 1 binary64) |
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#s(literal 1 binary64) |
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(/.f64 #s(literal 1 binary64) x) |
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal -3/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/2 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/2 binary64))) (sqrt.f64 #s(literal -1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))) |
(*.f64 (cbrt.f64 x) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/2 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/2 binary64))) (sqrt.f64 #s(literal -1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal -3/2 binary64))) |
(/.f64 (*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 x) (cbrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (sqrt.f64 x) (*.f64 (cbrt.f64 x) (sqrt.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x)) |
(cbrt.f64 x) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x)) |
#s(literal 1 binary64) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))) (neg.f64 (cbrt.f64 x))) |
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x)) |
(pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -6 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64)) |
(cbrt.f64 (pow.f64 x #s(literal 6 binary64))) |
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2/3 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64)) |
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(neg.f64 (pow.f64 x #s(literal 2 binary64))) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) |
(pow.f64 x #s(literal 2 binary64)) |
(cbrt.f64 (pow.f64 x #s(literal 6 binary64))) |
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) |
(pow.f64 x #s(literal 2 binary64)) |
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64))) |
(cbrt.f64 (pow.f64 x #s(literal 6 binary64))) |
Compiled 1161 to 334 computations (71.2% saved)
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 138 | 2 | 140 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 138 | 3 | 141 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (pow.f64 x #s(literal -2 binary64)) |
| ✓ | 99.0% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ▶ | 4.3% | #s(literal 1 binary64) |
Compiled 12 to 9 computations (25% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (pow.f64 x #s(literal -2 binary64)) |
| ✓ | accuracy | 100.0% | (pow.f64 x #s(literal -2 binary64)) |
| 3× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 16 |
| 1 | 14 | 16 |
| 1× | saturated |
| Inputs |
|---|
#s(literal 1 binary64) |
(pow.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
| Outputs |
|---|
#s(literal 1 binary64) |
(pow.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
| 13.0ms | 256× | 0 | valid |
Compiled 8 to 5 computations (37.5% saved)
ival-pow: 5.0ms (87% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (pow.f64 x #s(literal -2 binary64))> |
| Outputs |
|---|
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (pow x -2) |
| 0.0ms | x | @ | inf | (pow x -2) |
| 0.0ms | x | @ | -inf | (pow x -2) |
| 1× | batch-egg-rewrite |
| 937× | log1p-expm1-u |
| 835× | expm1-log1p-u |
| 199× | associate-*r* |
| 184× | unpow-prod-down |
| 162× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 52 | 10 |
| 2 | 518 | 10 |
| 3 | 5176 | 10 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x #s(literal -2 binary64)) |
| Outputs |
|---|
(+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64))) |
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64)))))) |
(-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 (E.f64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(sqrt.f64 (pow.f64 x #s(literal -4 binary64))) |
(fabs.f64 (pow.f64 x #s(literal -2 binary64))) |
(log.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64)))) |
(cbrt.f64 (pow.f64 x #s(literal -6 binary64))) |
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -2 binary64)))) |
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -2 binary64)))) |
(exp.f64 (log.f64 (pow.f64 x #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -6 binary64))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) |
| 1× | egg-herbie |
| 862× | fma-define |
| 704× | sub-neg |
| 562× | div-sub |
| 491× | times-frac |
| 307× | associate-+l- |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 141 | 1657 |
| 1 | 275 | 1375 |
| 2 | 549 | 1325 |
| 3 | 1632 | 1321 |
| 4 | 5420 | 1308 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64))) |
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64)))))) |
(-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 (E.f64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(sqrt.f64 (pow.f64 x #s(literal -4 binary64))) |
(fabs.f64 (pow.f64 x #s(literal -2 binary64))) |
(log.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64)))) |
(cbrt.f64 (pow.f64 x #s(literal -6 binary64))) |
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -2 binary64)))) |
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -2 binary64)))) |
(exp.f64 (log.f64 (pow.f64 x #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -6 binary64))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64)))))) |
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64)))))) |
(-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 (E.f64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))) |
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))) |
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64)))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64)))))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64)))))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -5 binary64)))) |
(/.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) (cbrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))) |
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))) |
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))) (cbrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 6 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) x) (cbrt.f64 x)) |
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (*.f64 (cbrt.f64 x) x)) |
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (*.f64 x (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))) #s(literal 2 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -5 binary64)))) |
(/.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) (cbrt.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 5 binary64)))) |
(/.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 5 binary64))) (cbrt.f64 x)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64))))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64)))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64)))))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal -8 binary64)))))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (cbrt.f64 x)) (cbrt.f64 x)) |
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -4 binary64)) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(sqrt.f64 (pow.f64 x #s(literal -4 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(fabs.f64 (pow.f64 x #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(log.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(cbrt.f64 (pow.f64 x #s(literal -6 binary64))) |
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(exp.f64 (log.f64 (pow.f64 x #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -4 binary64))) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -6 binary64))) #s(literal 1/3 binary64))) |
(cbrt.f64 (pow.f64 x #s(literal -6 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
Compiled 883 to 197 computations (77.7% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 81 | 1 | 82 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 1 | 1 |
| Total | 81 | 4 | 85 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (pow.f64 x #s(literal -2 binary64)) |
| ▶ | 99.8% | (/.f64 (/.f64 #s(literal 1 binary64) x) x) |
| ✓ | 99.0% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | 4.3% | #s(literal 1 binary64) |
Compiled 18 to 13 computations (27.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) x) x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 #s(literal 1 binary64) x) x) |
| 3× | 1-exp |
| 1× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 34 |
| 1 | 16 | 34 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
| 19.0ms | 256× | 0 | valid |
Compiled 12 to 5 computations (58.3% saved)
ival-div: 10.0ms (94.1% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) x)> |
#<alt (/.f64 #s(literal 1 binary64) x)> |
| Outputs |
|---|
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))> |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/ 1 x) |
| 0.0ms | x | @ | 0 | (/ 1 x) |
| 0.0ms | x | @ | 0 | (/ (/ 1 x) x) |
| 0.0ms | x | @ | -inf | (/ (/ 1 x) x) |
| 0.0ms | x | @ | inf | (/ (/ 1 x) x) |
| 1× | batch-egg-rewrite |
| 315× | unpow-prod-down |
| 299× | log1p-expm1-u |
| 299× | expm1-log1p-u |
| 291× | add-exp-log |
| 272× | pow1 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 29 |
| 1 | 81 | 20 |
| 2 | 948 | 14 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) |
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 x x) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (E.f64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/2 binary64))) |
(*.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal 5/6 binary64))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal -5/6 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x)) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -5/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal -1 binary64)) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/2 binary64))) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64))) (cbrt.f64 x)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal -2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -6 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/3 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64)) |
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(neg.f64 (pow.f64 x #s(literal 2 binary64))) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (pow.f64 x #s(literal 2 binary64))) |
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) |
(cbrt.f64 (pow.f64 x #s(literal 6 binary64))) |
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) |
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
(+.f64 #s(literal 0 binary64) x) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 x)))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x)))) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x (log.f64 (E.f64))) |
(*.f64 x (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x)) |
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) x) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) x) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -5/6 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -5/2 binary64))) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 (pow.f64 x #s(literal 5/6 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 x #s(literal -5/6 binary64)))) |
(pow.f64 x #s(literal 1 binary64)) |
(pow.f64 x #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) |
(pow.f64 (E.f64) (log.f64 x)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x)) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 x))) |
(neg.f64 x) |
(sqrt.f64 (pow.f64 x #s(literal 2 binary64))) |
(fabs.f64 x) |
(fabs.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(log.f64 (exp.f64 x)) |
(cbrt.f64 (pow.f64 x #s(literal 3 binary64))) |
x |
(expm1.f64 (log1p.f64 x)) |
(log1p.f64 (expm1.f64 x)) |
(exp.f64 (log.f64 x)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64))) |
| 1× | egg-herbie |
| 844× | times-frac |
| 382× | div-exp |
| 302× | prod-exp |
| 284× | fma-neg |
| 231× | associate-/r* |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 280 | 12884904365 |
| 1 | 420 | 12884904227 |
| 2 | 852 | 12884904185 |
| 3 | 2681 | 12884904160 |
| 4 | 7328 | 12884904100 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) |
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 x x) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (E.f64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/2 binary64))) |
(*.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal 5/6 binary64))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal -5/6 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x)) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -5/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal -1 binary64)) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/2 binary64))) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64))) (cbrt.f64 x)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 x #s(literal -2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -6 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/3 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64)) |
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(neg.f64 (pow.f64 x #s(literal 2 binary64))) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (pow.f64 x #s(literal 2 binary64))) |
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) |
(cbrt.f64 (pow.f64 x #s(literal 6 binary64))) |
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) |
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
(+.f64 #s(literal 0 binary64) x) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 x)))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x)))) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x (log.f64 (E.f64))) |
(*.f64 x (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x)) |
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) x) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) x) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -5/6 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -5/2 binary64))) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))) (pow.f64 x #s(literal 1/6 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 (pow.f64 x #s(literal 5/6 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 x #s(literal -5/6 binary64)))) |
(pow.f64 x #s(literal 1 binary64)) |
(pow.f64 x #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64)) |
(pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) |
(pow.f64 (E.f64) (log.f64 x)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x)) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 x))) |
(neg.f64 x) |
(sqrt.f64 (pow.f64 x #s(literal 2 binary64))) |
(fabs.f64 x) |
(fabs.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(log.f64 (exp.f64 x)) |
(cbrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 x)) |
(log1p.f64 (expm1.f64 x)) |
(exp.f64 (log.f64 x)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 x x) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (E.f64))) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (cbrt.f64 x) x) |
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(/.f64 (cbrt.f64 x) x) |
(pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/2 binary64))) |
(*.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3/2 binary64)))) |
(/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal -3/2 binary64))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal 5/6 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 5/6 binary64)) (sqrt.f64 x))) |
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x |
(exp.f64 (log.f64 x)) |
x |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64))) |
x |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64))) |
x |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64))) |
x |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64))) |
x |
Compiled 1435 to 411 computations (71.4% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 169 | 0 | 169 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 169 | 4 | 173 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (pow.f64 x #s(literal -2 binary64)) |
| ✓ | 99.8% | (/.f64 (/.f64 #s(literal 1 binary64) x) x) |
| ✓ | 99.0% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | 4.3% | #s(literal 1 binary64) |
Compiled 33 to 21 computations (36.4% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(pow.f64 x #s(literal -2 binary64)) |
| Outputs |
|---|
(pow.f64 x #s(literal -2 binary64)) |
3 calls:
| 7.0ms | (*.f64 x x) |
| 2.0ms | x |
| 2.0ms | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 100.0% | 1 | (*.f64 x x) |
Compiled 12 to 7 computations (41.7% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
3 calls:
| 3.0ms | x |
| 2.0ms | (*.f64 x x) |
| 2.0ms | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 99.8% | 1 | (*.f64 x x) |
Compiled 12 to 7 computations (41.7% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
3 calls:
| 2.0ms | x |
| 1.0ms | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 1.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | x |
| 99.0% | 1 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 99.0% | 1 | (*.f64 x x) |
Compiled 12 to 7 computations (41.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 1 binary64) |
| Outputs |
|---|
#s(literal 1 binary64) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.3% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 3× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 49 |
| 1 | 18 | 49 |
| 1× | saturated |
| Inputs |
|---|
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
| 937× | log1p-expm1-u |
| 835× | expm1-log1p-u |
| 568× | times-frac |
| 559× | frac-times |
| 409× | fma-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 52 | 10 |
| 2 | 518 | 10 |
| 3 | 5176 | 10 |
| 0 | 242 | 25769807196 |
| 1 | 433 | 25769806689 |
| 2 | 1102 | 25769806471 |
| 3 | 4059 | 25769806296 |
| 0 | 8 | 32 |
| 1 | 78 | 20 |
| 2 | 853 | 20 |
| 1× | done |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 154 to 62 computations (59.7% saved)
(abs x)
Compiled 70 to 44 computations (37.1% saved)
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