
Time bar (total: 2.7s)
| 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 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 3 |
| 25% | 25% | 75% | 0% | 0% | 0% | 0% | 4 |
| 37.5% | 37.5% | 62.5% | 0% | 0% | 0% | 0% | 5 |
| 43.8% | 43.7% | 56.2% | 0% | 0% | 0% | 0% | 6 |
| 46.9% | 46.9% | 53.1% | 0% | 0% | 0% | 0% | 7 |
| 46.9% | 46.9% | 53.1% | 0% | 0% | 0% | 0% | 8 |
| 46.9% | 46.9% | 53.1% | 0% | 0% | 0% | 0% | 9 |
| 47.1% | 47% | 52.9% | 0% | 0% | 0% | 0% | 10 |
| 47.2% | 47.1% | 52.8% | 0% | 0% | 0% | 0% | 11 |
| 47.2% | 47.2% | 52.8% | 0% | 0% | 0% | 0% | 12 |
Compiled 7 to 7 computations (0% saved)
| 289.0ms | 8256× | 0 | valid |
ival-div: 79.0ms (58.3% of total)ival-add: 41.0ms (30.2% of total)ival-true: 6.0ms (4.4% of total)...in/eval/compile.rkt:76:19: 4.0ms (2.9% of total)ival-assert: 4.0ms (2.9% of total)| 1× | egg-herbie |
| 29× | fmm-def |
| 12× | fma-define |
| 9× | distribute-lft-neg-in |
| 8× | associate--r+ |
| 8× | sub-neg |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 52 |
| 1 | 30 | 40 |
| 2 | 54 | 40 |
| 3 | 95 | 40 |
| 4 | 135 | 40 |
| 5 | 163 | 40 |
| 6 | 173 | 40 |
| 7 | 181 | 40 |
| 8 | 186 | 40 |
| 9 | 187 | 40 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
(+.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
(neg.f64 (+.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
(+.f64 x #s(literal 1/3 binary64)) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
(+.f64 x #s(literal 1/3 binary64)) |
(+.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
(+.f64 #s(literal 1/3 binary64) (neg.f64 x)) |
(-.f64 #s(literal 1/3 binary64) x) |
(neg.f64 (+.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))) |
(+.f64 (neg.f64 (neg.f64 x)) #s(literal -1/3 binary64)) |
(+.f64 x #s(literal -1/3 binary64)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 18.0ms | 512× | 0 | valid |
Compiled 38 to 24 computations (36.8% saved)
ival-div: 4.0ms (51.5% of total)ival-add: 2.0ms (25.7% of total)...in/eval/compile.rkt:76:19: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 4 to 3 computations (25% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 x #s(literal 1/3 binary64)) |
Compiled 4 to 3 computations (25% saved)
| 1× | egg-herbie |
Found 1 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1/3 binary64)) |
| 1× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 1 | 8 | 15 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x #s(literal 1/3 binary64)) |
x |
#s(literal 1/3 binary64) |
| Outputs |
|---|
(+.f64 x #s(literal 1/3 binary64)) |
x |
#s(literal 1/3 binary64) |
Found 1 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1/3 binary64)) |
| 10.0ms | 256× | 0 | valid |
Compiled 7 to 5 computations (28.6% saved)
...in/eval/compile.rkt:77:19: 3.0ms (60.1% of total)ival-add: 1.0ms (20% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 x #s(literal 1/3 binary64))> |
| Outputs |
|---|
#<alt #s(literal 1/3 binary64)> |
#<alt (+.f64 #s(literal 1/3 binary64) x)> |
#<alt (+.f64 #s(literal 1/3 binary64) x)> |
#<alt (+.f64 #s(literal 1/3 binary64) x)> |
#<alt x> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt x> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+ x 1/3) |
| 0.0ms | x | @ | -inf | (+ x 1/3) |
| 0.0ms | x | @ | 0 | (+ x 1/3) |
| 1× | batch-egg-rewrite |
| 464× | frac-times |
| 283× | log1p-expm1-u |
| 283× | expm1-log1p-u |
| 269× | add-exp-log |
| 261× | add-log-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 60 | 10 |
| 2 | 750 | 10 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x #s(literal 1/3 binary64)) |
| Outputs |
|---|
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 x #s(literal 1/3 binary64)) (log.f64 (E.f64))) |
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 5/2 binary64))) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 3/2 binary64))) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64))) #s(literal 5 binary64))) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/6 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 1/3 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (neg.f64 (+.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1/3 binary64) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (cbrt.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) (sqrt.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64))) (+.f64 x #s(literal -1/3 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (sqrt.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64)))))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (hypot.f64 x (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) (sqrt.f64 (+.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 x #s(literal 1/3 binary64)))) (hypot.f64 x (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))) (sqrt.f64 (+.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -1/3 binary64))) (*.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/81 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)))) (+.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (*.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) (hypot.f64 x (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64)))) (*.f64 (hypot.f64 x (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))) (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/729 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (+.f64 x #s(literal -1/3 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/3 binary64) x))) |
(pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) |
(pow.f64 (E.f64) (log.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 x #s(literal 1/3 binary64))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x #s(literal 1/3 binary64))))) (sqrt.f64 (log.f64 (+.f64 x #s(literal 1/3 binary64))))) |
(sqrt.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(fabs.f64 (+.f64 x #s(literal 1/3 binary64))) |
(log.f64 (exp.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(cbrt.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(log1p.f64 (expm1.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(exp.f64 (log.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64))) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1/3 binary64)) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1/3 binary64)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1/3 binary64)) |
| 1× | egg-herbie |
| 461× | div-sub |
| 445× | times-frac |
| 423× | distribute-lft-neg-in |
| 387× | fmm-def |
| 335× | distribute-rgt-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 234 | 2891 |
| 1 | 536 | 2569 |
| 2 | 1835 | 2481 |
| 3 | 5281 | 2481 |
| 1× | node limit |
| Inputs |
|---|
#s(literal 1/3 binary64) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 #s(literal 1/3 binary64) x) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 x #s(literal 1/3 binary64)) (log.f64 (E.f64))) |
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 5/2 binary64))) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 3/2 binary64))) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64))) #s(literal 5 binary64))) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/6 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 1/3 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (neg.f64 (+.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1/3 binary64) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (cbrt.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) (sqrt.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64))) (+.f64 x #s(literal -1/3 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (sqrt.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64)))))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (hypot.f64 x (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) (sqrt.f64 (+.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 x #s(literal 1/3 binary64)))) (hypot.f64 x (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))) (sqrt.f64 (+.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -1/3 binary64))) (*.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/81 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)))) (+.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (*.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) (hypot.f64 x (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64)))) (*.f64 (hypot.f64 x (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))) (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/729 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (+.f64 x #s(literal -1/3 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/3 binary64) x))) |
(pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) |
(pow.f64 (E.f64) (log.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 x #s(literal 1/3 binary64))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x #s(literal 1/3 binary64))))) (sqrt.f64 (log.f64 (+.f64 x #s(literal 1/3 binary64))))) |
(sqrt.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(fabs.f64 (+.f64 x #s(literal 1/3 binary64))) |
(log.f64 (exp.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(cbrt.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(log1p.f64 (expm1.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(exp.f64 (log.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64))) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1/3 binary64)) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1/3 binary64)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1/3 binary64)) |
| Outputs |
|---|
#s(literal 1/3 binary64) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 #s(literal 1/3 binary64) x) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1/3 binary64) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1/3 binary64) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1/3 binary64) x) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1/3 binary64) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1/3 binary64) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1/3 binary64) x) |
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1/3 binary64) x) |
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64))) |
(*.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1/3 binary64) x) |
(*.f64 (+.f64 x #s(literal 1/3 binary64)) (log.f64 (E.f64))) |
(+.f64 #s(literal 1/3 binary64) x) |
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) |
(+.f64 #s(literal 1/3 binary64) x) |
(*.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64))) |
(+.f64 #s(literal 1/3 binary64) x) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(+.f64 #s(literal 1/3 binary64) x) |
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))) (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(+.f64 #s(literal 1/3 binary64) x) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(/.f64 (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 #s(literal 1/3 binary64) x) #s(literal -1/9 binary64))) |
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))) |
(+.f64 #s(literal 1/3 binary64) x) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) x) (cbrt.f64 (+.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/3 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/3 binary64) x)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal 5/2 binary64))) (pow.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) x) (cbrt.f64 (+.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/3 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/3 binary64) x)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 5/2 binary64))) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal 5/2 binary64))) (pow.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/6 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 3/2 binary64))) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal 3/2 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64))) #s(literal 5 binary64))) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/3 binary64) x)) #s(literal 5 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) |
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(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64)))) (*.f64 (hypot.f64 x (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))) (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (*.f64 (hypot.f64 x (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 (+.f64 x #s(literal -1/3 binary64)))))) |
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))) (sqrt.f64 (+.f64 x #s(literal -1/3 binary64)))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/729 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64)) (*.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 #s(literal 1/3 binary64) x)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/729 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))) (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64) #s(literal 1/729 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64)))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(/.f64 (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 #s(literal 1/3 binary64) x) #s(literal -1/9 binary64))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (+.f64 x #s(literal -1/3 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/3 binary64) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64))) |
(pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1/3 binary64) x) |
(pow.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) |
(+.f64 #s(literal 1/3 binary64) x) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/3 binary64) x) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(+.f64 #s(literal 1/3 binary64) x) |
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) |
(+.f64 #s(literal 1/3 binary64) x) |
(pow.f64 (E.f64) (log.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(+.f64 #s(literal 1/3 binary64) x) |
(pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(/.f64 (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 #s(literal 1/3 binary64) x) #s(literal -1/9 binary64))) |
(pow.f64 (/.f64 (+.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 x #s(literal 1/3 binary64))))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 #s(literal 1/3 binary64) x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x #s(literal 1/3 binary64))))) (sqrt.f64 (log.f64 (+.f64 x #s(literal 1/3 binary64))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 (log.f64 (+.f64 #s(literal 1/3 binary64) x)))) |
(sqrt.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(+.f64 #s(literal 1/3 binary64) x) |
(fabs.f64 (+.f64 x #s(literal 1/3 binary64))) |
(+.f64 #s(literal 1/3 binary64) x) |
(log.f64 (exp.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(+.f64 #s(literal 1/3 binary64) x) |
(cbrt.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) |
(+.f64 #s(literal 1/3 binary64) x) |
(expm1.f64 (log1p.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(+.f64 #s(literal 1/3 binary64) x) |
(log1p.f64 (expm1.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(+.f64 #s(literal 1/3 binary64) x) |
(exp.f64 (log.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(+.f64 #s(literal 1/3 binary64) x) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 3 binary64))) |
(+.f64 #s(literal 1/3 binary64) x) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/3 binary64))) |
(+.f64 #s(literal 1/3 binary64) x) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64))) |
(+.f64 #s(literal 1/3 binary64) x) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1/3 binary64)) |
(+.f64 #s(literal 1/3 binary64) x) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1/3 binary64)) |
(+.f64 #s(literal 1/3 binary64) x) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) |
(+.f64 #s(literal 1/3 binary64) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1/3 binary64)) |
(+.f64 #s(literal 1/3 binary64) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1/3 binary64)) |
(+.f64 #s(literal 1/3 binary64) x) |
Compiled 1558 to 351 computations (77.5% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 108 | 4 | 112 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 108 | 5 | 113 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 66.0% | (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))) |
| ✓ | 100.0% | (+.f64 x #s(literal 1/3 binary64)) |
| ▶ | 99.8% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
| ▶ | 52.0% | x |
| ▶ | 47.8% | #s(literal 1/3 binary64) |
Compiled 32 to 24 computations (25% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 x #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (-.f64 x #s(literal 1/3 binary64))) |
| ✓ | cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 384 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
| 45× | fma-define |
| 11× | associate-*r* |
| 11× | associate-*l* |
| 9× | +-commutative |
| 8× | associate-*r/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 206 |
| 1 | 46 | 198 |
| 2 | 76 | 183 |
| 3 | 157 | 183 |
| 4 | 182 | 183 |
| 5 | 196 | 183 |
| 6 | 201 | 183 |
| 7 | 202 | 183 |
| 1× | saturated |
| Inputs |
|---|
#s(literal 1/3 binary64) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
x |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) |
#s(literal 1/3 binary64) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))) |
(+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal 1/27 binary64) |
(+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))) |
#s(literal 1/9 binary64) |
(*.f64 x (-.f64 x #s(literal 1/3 binary64))) |
(-.f64 x #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
| Outputs |
|---|
#s(literal 1/3 binary64) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(+.f64 #s(literal 1/3 binary64) x) |
x |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal 1/27 binary64) |
(+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))) |
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
#s(literal 1/9 binary64) |
(*.f64 x (-.f64 x #s(literal 1/3 binary64))) |
(*.f64 x (+.f64 x #s(literal -1/3 binary64))) |
(-.f64 x #s(literal 1/3 binary64)) |
(+.f64 x #s(literal -1/3 binary64)) |
#s(literal 1/3 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 x (-.f64 x #s(literal 1/3 binary64))) |
| ✓ | accuracy | 66.7% | (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 99.7% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) |
| 49.0ms | 256× | 0 | valid |
Compiled 72 to 18 computations (75% saved)
...in/eval/compile.rkt:77:19: 9.0ms (30.4% of total)ival-mult: 6.0ms (20.2% of total)ival-div: 4.0ms (13.5% of total)ival-add: 4.0ms (13.5% of total)ival-pow: 4.0ms (13.5% of total)ival-sub: 2.0ms (6.7% of total)ival-assert: 0.0ms (0% of total)...in/eval/compile.rkt:76:19: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))> |
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))> |
#<alt (/.f64 #s(literal 1 binary64) x)> |
#<alt (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))> |
#<alt (pow.f64 x #s(literal 3 binary64))> |
#<alt (*.f64 x (-.f64 x #s(literal 1/3 binary64)))> |
#<alt (-.f64 x #s(literal 1/3 binary64))> |
#<alt (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))))> |
#<alt (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))> |
| Outputs |
|---|
#<alt #s(literal 1/3 binary64)> |
#<alt (+.f64 #s(literal 1/3 binary64) x)> |
#<alt (+.f64 #s(literal 1/3 binary64) x)> |
#<alt (+.f64 #s(literal 1/3 binary64) x)> |
#<alt x> |
#<alt x> |
#<alt (/.f64 #s(literal 1/3 binary64) x)> |
#<alt (/.f64 (+.f64 #s(literal 1/3 binary64) x) x)> |
#<alt (/.f64 (+.f64 #s(literal 1/3 binary64) x) x)> |
#<alt (/.f64 (+.f64 #s(literal 1/3 binary64) x) x)> |
#<alt #s(literal 1 binary64)> |
#<alt #s(literal 1 binary64)> |
#<alt (/.f64 #s(literal 1/3 binary64) x)> |
#<alt (/.f64 #s(literal 1/3 binary64) x)> |
#<alt (/.f64 #s(literal 1/3 binary64) x)> |
#<alt (/.f64 #s(literal 1/3 binary64) x)> |
#<alt (/.f64 #s(literal 1/3 binary64) x)> |
#<alt (/.f64 #s(literal 1/3 binary64) x)> |
#<alt (/.f64 #s(literal 1/3 binary64) x)> |
#<alt (/.f64 #s(literal 1/3 binary64) x)> |
#<alt (/.f64 #s(literal 1/3 binary64) x)> |
#<alt (/.f64 #s(literal 1/3 binary64) x)> |
#<alt (/.f64 #s(literal 1/3 binary64) x)> |
#<alt (/.f64 #s(literal 1/3 binary64) x)> |
#<alt #s(literal 1/27 binary64)> |
#<alt (+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))> |
#<alt (+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))> |
#<alt (+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))> |
#<alt (pow.f64 x #s(literal 3 binary64))> |
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))> |
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))> |
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))> |
#<alt (pow.f64 x #s(literal 3 binary64))> |
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))> |
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))> |
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))> |
#<alt (*.f64 #s(literal -1/3 binary64) x)> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt #s(literal -1/3 binary64)> |
#<alt x> |
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt x> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))> |
#<alt #s(literal 1/3 binary64)> |
#<alt (+.f64 #s(literal 1/3 binary64) x)> |
#<alt (+.f64 #s(literal 1/3 binary64) x)> |
#<alt (+.f64 #s(literal 1/3 binary64) x)> |
#<alt x> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt x> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt #s(literal 1/9 binary64)> |
#<alt (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) x))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))) x))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))) x))))> |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/ (+ (pow x 3) 1/27) (+ 1/9 (* x (- x 1/3)))) |
| 1.0ms | x | @ | -inf | (* x (+ 1 (* 1/3 (/ 1 x)))) |
| 1.0ms | x | @ | 0 | (* x (+ 1 (* 1/3 (/ 1 x)))) |
| 0.0ms | x | @ | inf | (/ (+ (pow x 3) 1/27) (+ 1/9 (* x (- x 1/3)))) |
| 0.0ms | x | @ | inf | (* x (+ 1 (* 1/3 (/ 1 x)))) |
| 1× | batch-egg-rewrite |
| 988× | log1p-expm1-u |
| 695× | prod-diff |
| 433× | expm1-log1p-u |
| 129× | add-cube-cbrt |
| 128× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 187 |
| 1 | 307 | 179 |
| 2 | 4292 | 179 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 x (-.f64 x #s(literal 1/3 binary64))) |
(-.f64 x #s(literal 1/3 binary64)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))) |
(+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))) |
| Outputs |
|---|
(+.f64 x (*.f64 x (/.f64 #s(literal 1/3 binary64) x))) |
(+.f64 x (*.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))) |
(+.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) x)) x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))))) #s(literal 1 binary64)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x (/.f64 #s(literal 1/3 binary64) x))) (*.f64 x (*.f64 x (/.f64 #s(literal 1/3 binary64) x)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x (/.f64 #s(literal 1/3 binary64) x)))) (-.f64 x (*.f64 x (/.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) x) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) |
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64))) |
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))))) |
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))))) |
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 (/.f64 #s(literal 1/3 binary64) x)))) |
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (/.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (/.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (/.f64 #s(literal 1/3 binary64) x))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) (/.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))))) |
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(exp.f64 (log1p.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
(pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)) |
(pow.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(log.f64 (exp.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/3 binary64) x)))) |
(cbrt.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) |
(pow.f64 x #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(sqrt.f64 (pow.f64 x #s(literal -2 binary64))) |
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x)))) |
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x))) |
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) x))) |
(exp.f64 (neg.f64 (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) #s(literal 1 binary64)) |
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(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))) |
(pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) #s(literal -1 binary64)) |
(neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1/27 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64))) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))) (/.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64)))))) |
(*.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64)))) (+.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/729 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) (-.f64 #s(literal 1/81 binary64) (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/729 binary64)) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/729 binary64)) (+.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64))))) |
(/.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/729 binary64))) (neg.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (-.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64))) |
(pow.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(exp.f64 (log.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64))) |
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64)) |
(fma.f64 (+.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/9 binary64)) |
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/9 binary64)) |
| 1× | egg-herbie |
| 547× | cancel-sign-sub-inv |
| 422× | distribute-lft-neg-in |
| 401× | distribute-rgt-neg-in |
| 348× | fmm-def |
| 275× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 597 | 12387 |
| 1 | 1241 | 11108 |
| 2 | 4357 | 8027 |
| 1× | node limit |
| Inputs |
|---|
#s(literal 1/3 binary64) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 #s(literal 1/3 binary64) x) |
x |
x |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 (+.f64 #s(literal 1/3 binary64) x) x) |
(/.f64 (+.f64 #s(literal 1/3 binary64) x) x) |
(/.f64 (+.f64 #s(literal 1/3 binary64) x) x) |
#s(literal 1 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/27 binary64) |
(+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) |
(+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) |
(+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(*.f64 #s(literal -1/3 binary64) x) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(literal -1/3 binary64) |
x |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
x |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) |
#s(literal 1/3 binary64) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 #s(literal 1/3 binary64) x) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(literal 1/9 binary64) |
(+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) x)) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))) x)))) |
(+.f64 x (*.f64 x (/.f64 #s(literal 1/3 binary64) x))) |
(+.f64 x (*.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))) |
(+.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) x)) x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))))) #s(literal 1 binary64)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x (/.f64 #s(literal 1/3 binary64) x))) (*.f64 x (*.f64 x (/.f64 #s(literal 1/3 binary64) x)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x (/.f64 #s(literal 1/3 binary64) x)))) (-.f64 x (*.f64 x (/.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) x) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
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(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(exp.f64 (log.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64))) |
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64)) |
(fma.f64 (+.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/9 binary64)) |
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/9 binary64)) |
| Outputs |
|---|
#s(literal 1/3 binary64) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 #s(literal 1/3 binary64) x) |
x |
x |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 (+.f64 #s(literal 1/3 binary64) x) x) |
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) |
(/.f64 (+.f64 #s(literal 1/3 binary64) x) x) |
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) |
(/.f64 (+.f64 #s(literal 1/3 binary64) x) x) |
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/27 binary64) |
(+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) |
(+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) |
(+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 x #s(literal -1/3 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) |
(*.f64 x (+.f64 x #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) |
(*.f64 x (+.f64 x #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) |
(*.f64 x (+.f64 x #s(literal -1/3 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) |
(*.f64 x (+.f64 x #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) |
(*.f64 x (+.f64 x #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) |
(*.f64 x (+.f64 x #s(literal -1/3 binary64))) |
#s(literal -1/3 binary64) |
x |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) |
(+.f64 x #s(literal -1/3 binary64)) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) |
(+.f64 x #s(literal -1/3 binary64)) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) |
(+.f64 x #s(literal -1/3 binary64)) |
x |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) |
(+.f64 x #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) |
(+.f64 x #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) |
(+.f64 x #s(literal -1/3 binary64)) |
#s(literal 1/3 binary64) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 #s(literal 1/3 binary64) x) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1/3 binary64) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1/3 binary64) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1/3 binary64) x) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1/3 binary64) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1/3 binary64) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/9 binary64) |
(+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) x)) |
(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) |
(*.f64 x (+.f64 x #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x))) |
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x))) |
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) |
(*.f64 x (+.f64 x #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x))) |
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x))) |
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(+.f64 x (*.f64 x (/.f64 #s(literal 1/3 binary64) x))) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 x (*.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) x)) x) |
(+.f64 #s(literal 1/3 binary64) x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))))) #s(literal 1 binary64)) |
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))))) |
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 #s(literal 1/3 binary64) x) x))) |
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x (/.f64 #s(literal 1/3 binary64) x))) (*.f64 x (*.f64 x (/.f64 #s(literal 1/3 binary64) x)))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) x)) x)))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x)))) |
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x (/.f64 #s(literal 1/3 binary64) x)))) (-.f64 x (*.f64 x (/.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1/3 binary64) x)))) (-.f64 x (*.f64 x (/.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) x)))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))) |
(/.f64 (+.f64 x (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) x) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)))))) |
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(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) |
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(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) |
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(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
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(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x))) |
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(exp.f64 (log.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x))) |
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x))) |
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x))) |
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 (+.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x))) |
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/9 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x))) |
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/9 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x))) |
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
Compiled 6015 to 1202 computations (80% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 365 | 1 | 366 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 1 | 1 |
| Total | 367 | 4 | 371 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 x #s(literal 1/3 binary64)) |
| ▶ | 99.9% | (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) |
| ✓ | 52.0% | x |
| ✓ | 47.8% | #s(literal 1/3 binary64) |
Compiled 16 to 12 computations (25% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 256 | (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) |
| 14× | fma-define |
| 10× | times-frac |
| 5× | associate-*r* |
| 5× | associate-*l* |
| 5× | associate-/r* |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 57 |
| 1 | 24 | 56 |
| 2 | 37 | 56 |
| 3 | 70 | 42 |
| 4 | 95 | 42 |
| 5 | 100 | 42 |
| 6 | 103 | 42 |
| 7 | 103 | 42 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) |
x |
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) |
(fma.f64 x (/.f64 #s(literal 1/3 binary64) x) x) |
(+.f64 x #s(literal 1/3 binary64)) |
x |
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/3 binary64) x) |
| 15.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-div: 3.0ms (31.3% of total)...in/eval/compile.rkt:77:19: 3.0ms (31.3% of total)ival-mult: 2.0ms (20.9% of total)ival-add: 1.0ms (10.4% of total)...in/eval/compile.rkt:76:19: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))> |
#<alt (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))> |
#<alt (/.f64 #s(literal 1/3 binary64) x)> |
| Outputs |
|---|
#<alt #s(literal 1/3 binary64)> |
#<alt (+.f64 #s(literal 1/3 binary64) x)> |
#<alt (+.f64 #s(literal 1/3 binary64) x)> |
#<alt (+.f64 #s(literal 1/3 binary64) x)> |
#<alt x> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt x> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (/.f64 #s(literal 1/3 binary64) x)> |
#<alt (/.f64 (+.f64 #s(literal 1/3 binary64) x) x)> |
#<alt (/.f64 (+.f64 #s(literal 1/3 binary64) x) x)> |
#<alt (/.f64 (+.f64 #s(literal 1/3 binary64) x) x)> |
#<alt #s(literal 1 binary64)> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))> |
#<alt #s(literal 1 binary64)> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))> |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (* x (+ (/ 1/3 x) 1)) |
| 0.0ms | x | @ | inf | (* x (+ (/ 1/3 x) 1)) |
| 0.0ms | x | @ | -inf | (* x (+ (/ 1/3 x) 1)) |
| 0.0ms | x | @ | 0 | (+ (/ 1/3 x) 1) |
| 0.0ms | x | @ | inf | (+ (/ 1/3 x) 1) |
| 1× | batch-egg-rewrite |
| 543× | log1p-expm1-u |
| 543× | expm1-log1p-u |
| 499× | unpow-prod-down |
| 445× | pow1 |
| 275× | prod-diff |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 51 |
| 1 | 115 | 50 |
| 2 | 1568 | 36 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) |
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
| Outputs |
|---|
(+.f64 x #s(literal 1/3 binary64)) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1/3 binary64))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x #s(literal 1/3 binary64)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x #s(literal 1/3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x #s(literal 1/3 binary64)))))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)) |
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (-.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64))) |
(pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(cbrt.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(log1p.f64 (expm1.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(exp.f64 (log.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log1p.f64 (/.f64 #s(literal 1/3 binary64) x)))) |
(exp.f64 (+.f64 (log1p.f64 (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (log.f64 x) #s(literal 1 binary64)))) |
(fma.f64 x (/.f64 #s(literal 1/3 binary64) x) x) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 1/3 binary64) #s(literal 1 binary64) x) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 1 binary64) #s(literal 1/3 binary64) x) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) x) x) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1/3 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) #s(literal 1/3 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) x) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1/3 binary64)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/3 binary64)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)) x) |
(fma.f64 (pow.f64 (cbrt.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/3 binary64)) x) |
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 #s(literal 1/3 binary64)) x) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)) (sqrt.f64 x) x) |
(fma.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x) x) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) x) |
(fma.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) x) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) |
(exp.f64 (log1p.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64) #s(literal 1 binary64)) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/3 binary64) x))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/3 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/3 binary64) x))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) x)) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64))) |
(log.f64 (exp.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(cbrt.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(fma.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) x))) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64)) |
| 1× | egg-herbie |
| 794× | fmm-def |
| 546× | fma-define |
| 414× | distribute-lft-in |
| 354× | distribute-rgt-in |
| 345× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 338 | 3527 |
| 1 | 686 | 3423 |
| 2 | 1833 | 3248 |
| 3 | 7328 | 3248 |
| 1× | node limit |
| Inputs |
|---|
#s(literal 1/3 binary64) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 #s(literal 1/3 binary64) x) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 (+.f64 #s(literal 1/3 binary64) x) x) |
(/.f64 (+.f64 #s(literal 1/3 binary64) x) x) |
(/.f64 (+.f64 #s(literal 1/3 binary64) x) x) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 x #s(literal 1/3 binary64)) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1/3 binary64))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x #s(literal 1/3 binary64)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x #s(literal 1/3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x #s(literal 1/3 binary64)))))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)) |
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (-.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64))) |
(pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(cbrt.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(log1p.f64 (expm1.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(exp.f64 (log.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log1p.f64 (/.f64 #s(literal 1/3 binary64) x)))) |
(exp.f64 (+.f64 (log1p.f64 (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (log.f64 x) #s(literal 1 binary64)))) |
(fma.f64 x (/.f64 #s(literal 1/3 binary64) x) x) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 1/3 binary64) #s(literal 1 binary64) x) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 1 binary64) #s(literal 1/3 binary64) x) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) x) x) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 1/3 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) #s(literal 1/3 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) x) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1/3 binary64)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/3 binary64)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x)) x) |
(fma.f64 (pow.f64 (cbrt.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/3 binary64)) x) |
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 #s(literal 1/3 binary64)) x) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x)) (sqrt.f64 x) x) |
(fma.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x) x) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) x) |
(fma.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) x) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) |
(exp.f64 (log1p.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64) #s(literal 1 binary64)) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/3 binary64) x))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/3 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/3 binary64) x))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) x)) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64))) |
(log.f64 (exp.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(cbrt.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(fma.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) x))) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64)) |
| Outputs |
|---|
#s(literal 1/3 binary64) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 #s(literal 1/3 binary64) x) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1/3 binary64) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1/3 binary64) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1/3 binary64) x) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1/3 binary64) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1/3 binary64) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 (+.f64 #s(literal 1/3 binary64) x) x) |
(/.f64 (+.f64 #s(literal 1/3 binary64) x) x) |
(/.f64 (+.f64 #s(literal 1/3 binary64) x) x) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) |
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(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 #s(literal 1/3 binary64) x) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/3 binary64) x))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/3 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/3 binary64) x))))) |
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/3 binary64) x))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1/3 binary64) x) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(/.f64 #s(literal 1/3 binary64) x) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 #s(literal 1/3 binary64) x) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64))) |
(/.f64 #s(literal 1/3 binary64) x) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 #s(literal 1/3 binary64) x) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1/3 binary64) x) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 #s(literal 1/3 binary64) x) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1/3 binary64) x) |
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(/.f64 #s(literal 1/3 binary64) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) #s(literal 1/3 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 x) #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (cbrt.f64 x) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) (cbrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 #s(literal 1/3 binary64) x) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64))) |
(/.f64 #s(literal 1/3 binary64) x) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 #s(literal 1/3 binary64) x) |
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/27 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 8 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))) |
(/.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 (cbrt.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
(pow.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(pow.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
(pow.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) x)) |
(/.f64 #s(literal 1/3 binary64) x) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64))) |
(sqrt.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(log.f64 (exp.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 #s(literal 1/3 binary64) x) |
(cbrt.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) x) |
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 #s(literal 1/3 binary64) x) |
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 #s(literal 1/3 binary64) x) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 #s(literal 1/3 binary64) x) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64))) |
(/.f64 #s(literal 1/3 binary64) x) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1/3 binary64) x) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64))) |
(/.f64 #s(literal 1/3 binary64) x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1/3 binary64) x) |
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
(fma.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
(fma.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
(fma.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) x))) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/3 binary64) x))))) |
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))))) |
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/27 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/9 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x))))) |
(fma.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)))) |
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x)))) |
Compiled 2623 to 666 computations (74.6% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 206 | 0 | 206 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 206 | 4 | 210 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 x #s(literal 1/3 binary64)) |
| ✓ | 99.9% | (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) |
| ✓ | 52.0% | x |
| ✓ | 47.8% | #s(literal 1/3 binary64) |
Compiled 56 to 34 computations (39.3% saved)
| Inputs |
|---|
#s(literal 1/3 binary64) |
x |
(+.f64 x #s(literal 1/3 binary64)) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))) |
| Outputs |
|---|
(+.f64 x #s(literal 1/3 binary64)) |
2 calls:
| 3.0ms | x |
| 3.0ms | (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(literal 1/3 binary64) |
x |
| Outputs |
|---|
x |
#s(literal 1/3 binary64) |
x |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 3 | x |
Compiled 2 to 1 computations (50% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 1/3 binary64) |
| Outputs |
|---|
#s(literal 1/3 binary64) |
1 calls:
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.8% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 0.17000742606267402 | 221.00224829861617 |
| 9.0ms | -2.4847551206170957 | -1.39984177046284e-5 |
| 12.0ms | 272× | 0 | valid |
Compiled 111 to 94 computations (15.3% saved)
ival-div: 2.0ms (48.9% of total)ival-add: 1.0ms (24.4% of total)...in/eval/compile.rkt:76:19: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 2× | if-if-or-not |
| 1× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 44 |
| 1 | 22 | 44 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x #s(literal 1/3 binary64)) |
(if (<=.f64 x #s(literal -5944751508129055/18014398509481984 binary64)) x (if (<=.f64 x #s(literal 6124895493223875/18014398509481984 binary64)) #s(literal 1/3 binary64) x)) |
#s(literal 1/3 binary64) |
| Outputs |
|---|
(+.f64 x #s(literal 1/3 binary64)) |
(if (<=.f64 x #s(literal -5944751508129055/18014398509481984 binary64)) x (if (<=.f64 x #s(literal 6124895493223875/18014398509481984 binary64)) #s(literal 1/3 binary64) x)) |
#s(literal 1/3 binary64) |
| 29× | fmm-def |
| 12× | fma-define |
| 9× | distribute-lft-neg-in |
| 8× | associate--r+ |
| 8× | sub-neg |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 52 |
| 1 | 30 | 40 |
| 2 | 54 | 40 |
| 3 | 95 | 40 |
| 4 | 135 | 40 |
| 5 | 163 | 40 |
| 6 | 173 | 40 |
| 7 | 181 | 40 |
| 8 | 186 | 40 |
| 9 | 187 | 40 |
| 1× | done |
| 1× | saturated |
Compiled 25 to 16 computations (36% saved)
Compiled 44 to 28 computations (36.4% saved)
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