
Time bar (total: 3.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 7 to 6 computations (14.3% saved)
ival-div: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 602.0ms | 8256× | 0 | valid |
ival-div: 173.0ms (56.4% of total)ival-sub: 103.0ms (33.6% of total)const: 28.0ms (9.1% of total)backward-pass: 3.0ms (1% of total)| 1× | egg-herbie |
| 35× | fma-neg |
| 12× | distribute-lft-neg-in |
| 9× | sub-neg |
| 8× | cancel-sign-sub-inv |
| 7× | fma-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 52 |
| 1 | 28 | 48 |
| 2 | 52 | 40 |
| 3 | 79 | 40 |
| 4 | 128 | 40 |
| 5 | 159 | 40 |
| 6 | 169 | 40 |
| 7 | 176 | 40 |
| 8 | 184 | 40 |
| 9 | 189 | 40 |
| 10 | 190 | 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 (neg.f64 x) #s(literal -1/3 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64)) |
(-.f64 #s(literal -1/3 binary64) x) |
(neg.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))) |
(neg.f64 (+.f64 (neg.f64 x) #s(literal -1/3 binary64))) |
(neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64))) |
(+.f64 x #s(literal 1/3 binary64)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 58.0ms | 512× | 0 | valid |
Compiled 32 to 17 computations (46.9% saved)
ival-div: 10.0ms (55.8% of total)ival-sub: 6.0ms (33.5% of total)const: 2.0ms (11.2% of total)backward-pass: 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)) |
| 198.0ms | 256× | 0 | valid |
Compiled 7 to 4 computations (42.9% saved)
...c/correct-round.rkt:121:19: 181.0ms (97.9% of total)ival-add: 3.0ms (1.6% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 x #s(literal -1/3 binary64))> |
| Outputs |
|---|
#<alt #s(literal -1/3 binary64)> |
#<alt (-.f64 x #s(literal 1/3 binary64))> |
#<alt (-.f64 x #s(literal 1/3 binary64))> |
#<alt (-.f64 x #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))))> |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | 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 |
| 437× | times-frac |
| 425× | distribute-lft-neg-in |
| 404× | fma-neg |
| 326× | fma-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 237 | 2981 |
| 1 | 547 | 2659 |
| 2 | 1886 | 2571 |
| 3 | 5379 | 2571 |
| 1× | node limit |
| Inputs |
|---|
#s(literal -1/3 binary64) |
(-.f64 x #s(literal 1/3 binary64)) |
(-.f64 x #s(literal 1/3 binary64)) |
(-.f64 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)))) |
(-.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 x #s(literal 1/3 binary64)) |
(+.f64 #s(literal -1/3 binary64) x) |
(-.f64 x #s(literal 1/3 binary64)) |
(+.f64 #s(literal -1/3 binary64) x) |
(-.f64 x #s(literal 1/3 binary64)) |
(+.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) 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) (/.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 (-.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))) |
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 #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 #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 (+.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))) |
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(*.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 (/.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 (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal -1/3 binary64))))))) |
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (hypot.f64 x (sqrt.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))) (sqrt.f64 (+.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 (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 (/.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 (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal -1/3 binary64))))))) |
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (hypot.f64 x (sqrt.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 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 (/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/19683 binary64)) (+.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 #s(literal -1/3 binary64) x))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/19683 binary64)) (+.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 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal -1/3 binary64))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/19683 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)))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 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 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x #s(literal -4/3 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (+.f64 x #s(literal -4/3 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))))) |
(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)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 x #s(literal -4/3 binary64))))) (sqrt.f64 (log1p.f64 (+.f64 x #s(literal -4/3 binary64))))) |
(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 1632 to 378 computations (76.8% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 116 | 3 | 119 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 116 | 4 | 120 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 x #s(literal -1/3 binary64)) |
| ▶ | 99.9% | (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
| ▶ | 51.9% | x |
| ▶ | 50.3% | #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 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
| ✓ | cost-diff | 256 | (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
| 150× | fma-define |
| 39× | fma-neg |
| 33× | times-frac |
| 29× | distribute-lft-in |
| 21× | associate-/r* |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 62 |
| 1 | 20 | 62 |
| 2 | 34 | 62 |
| 3 | 66 | 61 |
| 4 | 159 | 47 |
| 5 | 292 | 47 |
| 6 | 367 | 47 |
| 7 | 455 | 47 |
| 8 | 573 | 47 |
| 9 | 635 | 47 |
| 10 | 674 | 47 |
| 11 | 682 | 47 |
| 1× | saturated |
| Inputs |
|---|
#s(literal -1/3 binary64) |
x |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
x |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/3 binary64) x) |
#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) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) |
(fma.f64 x (/.f64 #s(literal -1/3 binary64) x) x) |
(+.f64 x #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) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
| ✓ | accuracy | 99.8% | (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/3 binary64) x) |
| 142.0ms | 256× | 0 | valid |
Compiled 22 to 8 computations (63.6% saved)
...c/correct-round.rkt:121:19: 102.0ms (88.1% of total)ival-div: 5.0ms (4.3% of total)ival-mult: 5.0ms (4.3% of total)ival-sub: 3.0ms (2.6% of total)const: 1.0ms (0.9% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))> |
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))> |
#<alt (/.f64 #s(literal 1/3 binary64) x)> |
| Outputs |
|---|
#<alt #s(literal -1/3 binary64)> |
#<alt (-.f64 x #s(literal 1/3 binary64))> |
#<alt (-.f64 x #s(literal 1/3 binary64))> |
#<alt (-.f64 x #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 (/.f64 #s(literal -1/3 binary64) x)> |
#<alt (/.f64 (-.f64 x #s(literal 1/3 binary64)) x)> |
#<alt (/.f64 (-.f64 x #s(literal 1/3 binary64)) x)> |
#<alt (/.f64 (-.f64 x #s(literal 1/3 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)))> |
#<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 | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (* x (- 1 (/ 1/3 x))) |
| 2.0ms | x | @ | 0 | (* x (- 1 (/ 1/3 x))) |
| 1.0ms | x | @ | inf | (* x (- 1 (/ 1/3 x))) |
| 1.0ms | x | @ | 0 | (/ 1/3 x) |
| 0.0ms | x | @ | inf | (/ 1/3 x) |
| 1× | batch-egg-rewrite |
| 519× | log1p-expm1-u |
| 519× | expm1-log1p-u |
| 459× | unpow-prod-down |
| 443× | pow1 |
| 258× | log-prod |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 51 |
| 1 | 111 | 51 |
| 2 | 1411 | 51 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 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 1/3 binary64) x) |
| Outputs |
|---|
(+.f64 x (*.f64 x (/.f64 #s(literal -1/3 binary64) x))) |
(+.f64 x (*.f64 (/.f64 #s(literal -1/3 binary64) x) x)) |
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) x)))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) x)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64))))) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (-.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))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)))) x) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 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 2 binary64)) #s(literal 1/2 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)) |
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(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -1 binary64)) |
(fma.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))) #s(literal -1 binary64)) |
(fma.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))) #s(literal -1 binary64)) |
| 1× | egg-herbie |
| 638× | fma-define |
| 467× | distribute-lft-in |
| 427× | distribute-rgt-in |
| 376× | exp-prod |
| 372× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 351 | 3905 |
| 1 | 714 | 3597 |
| 2 | 1773 | 3539 |
| 3 | 7238 | 3539 |
| 1× | node limit |
| Inputs |
|---|
#s(literal -1/3 binary64) |
(-.f64 x #s(literal 1/3 binary64)) |
(-.f64 x #s(literal 1/3 binary64)) |
(-.f64 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)))) |
(/.f64 #s(literal -1/3 binary64) x) |
(/.f64 (-.f64 x #s(literal 1/3 binary64)) x) |
(/.f64 (-.f64 x #s(literal 1/3 binary64)) x) |
(/.f64 (-.f64 x #s(literal 1/3 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))) |
#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 (*.f64 x (/.f64 #s(literal -1/3 binary64) x))) |
(+.f64 x (*.f64 (/.f64 #s(literal -1/3 binary64) x) x)) |
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) x)))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) x)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64))))) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (-.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))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)))) x) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 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 2 binary64)) #s(literal 1/2 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)) |
(pow.f64 (E.f64) (+.f64 (log1p.f64 (/.f64 #s(literal -1/3 binary64) x)) (log.f64 x))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (/.f64 #s(literal -1/3 binary64) x)) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (log1p.f64 (/.f64 #s(literal -1/3 binary64) x)) (log.f64 x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log1p.f64 (/.f64 #s(literal -1/3 binary64) x)) (log.f64 x)))) (sqrt.f64 (+.f64 (log1p.f64 (/.f64 #s(literal -1/3 binary64) x)) (log.f64 x)))) |
(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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) x)) |
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) 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 (log1p.f64 (/.f64 #s(literal -1/3 binary64) x)) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (log1p.f64 (/.f64 #s(literal -1/3 binary64) x)) (log.f64 x))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 (/.f64 #s(literal -1/3 binary64) x)) (log.f64 x))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (log1p.f64 (/.f64 #s(literal -1/3 binary64) x)) (log.f64 x))) #s(literal 2 binary64))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -1/3 binary64) x))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/3 binary64) x) x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (/.f64 #s(literal -1/3 binary64) x))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 #s(literal -1/3 binary64) x) x)) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x (/.f64 #s(literal -1/3 binary64) x))) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) x) 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 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (/.f64 #s(literal -1/3 binary64) x) x)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (/.f64 #s(literal -1/3 binary64) x))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 #s(literal -1/3 binary64) x) x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) |
(+.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) |
(+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)) |
(+.f64 (log.f64 (E.f64)) (/.f64 #s(literal -1/3 binary64) x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))))) (log.f64 (sqrt.f64 (exp.f64 (+.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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) (log.f64 (E.f64))) |
(*.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) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1 binary64) (/.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 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (sqrt.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 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.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 binary64) (/.f64 #s(literal -1/3 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1 binary64) (/.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 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)))) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1 binary64) (/.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))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64))))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64)))) (neg.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 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal -1/3 binary64) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) |
(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 2 binary64)) #s(literal 1/2 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)) |
(pow.f64 (E.f64) (log1p.f64 (/.f64 #s(literal -1/3 binary64) x))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1 binary64) (/.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))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 #s(literal -1/3 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (/.f64 #s(literal -1/3 binary64) x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 #s(literal -1/3 binary64) x)))) (sqrt.f64 (log1p.f64 (/.f64 #s(literal -1/3 binary64) x)))) |
(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)))) |
(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 (*.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 binary64) (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/3 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64))) (neg.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 (sqrt.f64 (/.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 #s(literal -1 binary64) (/.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)) (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)) |
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 (neg.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 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 #s(literal 1 binary64) (/.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 1/3 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 (E.f64))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/3 binary64) x)) (cbrt.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64))) (cbrt.f64 (/.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) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (exp.f64 #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 (cbrt.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 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 (pow.f64 #s(literal 1/27 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 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 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 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 (exp.f64 (log.f64 #s(literal 1/3 binary64))) (/.f64 #s(literal 1 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 (E.f64) (log.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(pow.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 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 #s(literal 1/3 binary64) x)))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) x)))) |
(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 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -1 binary64)) |
(fma.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))) #s(literal -1 binary64)) |
(fma.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))) #s(literal -1 binary64)) |
| Outputs |
|---|
#s(literal -1/3 binary64) |
(-.f64 x #s(literal 1/3 binary64)) |
(+.f64 x #s(literal -1/3 binary64)) |
(-.f64 x #s(literal 1/3 binary64)) |
(+.f64 x #s(literal -1/3 binary64)) |
(-.f64 x #s(literal 1/3 binary64)) |
(+.f64 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 #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 #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 #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 #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 #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 #s(literal -1/3 binary64)) |
(/.f64 #s(literal -1/3 binary64) x) |
(/.f64 (-.f64 x #s(literal 1/3 binary64)) x) |
(/.f64 (+.f64 x #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) x)) |
(/.f64 (-.f64 x #s(literal 1/3 binary64)) x) |
(/.f64 (+.f64 x #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) x)) |
(/.f64 (-.f64 x #s(literal 1/3 binary64)) x) |
(/.f64 (+.f64 x #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) x)) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 x #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) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 x #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) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 x #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) x)) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 x #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) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 x #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) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 x #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) x)) |
(+.f64 x (*.f64 x (/.f64 #s(literal -1/3 binary64) x))) |
(+.f64 x #s(literal -1/3 binary64)) |
(+.f64 x (*.f64 (/.f64 #s(literal -1/3 binary64) x) x)) |
(+.f64 x #s(literal -1/3 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))) |
(+.f64 x #s(literal -1/3 binary64)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) x)))) |
(+.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 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) x)))) |
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) x)))) |
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x #s(literal -1/3 binary64)))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))) #s(literal 1 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))))) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))) |
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)))) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)))) |
(*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)))) |
(*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (-.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))) |
(*.f64 x (/.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)))) |
(*.f64 x (/.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)))) |
(*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/9 binary64) #s(literal 1 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) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))) |
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)))) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)))) |
(*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)))) |
(*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 x (/.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)))) |
(*.f64 x (/.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)))) |
(*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/9 binary64) #s(literal 1 binary64)) (+.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)) |
(+.f64 x #s(literal -1/3 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))) #s(literal 3 binary64)) |
(+.f64 x #s(literal -1/3 binary64)) |
(pow.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 x #s(literal -1/3 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)) |
(+.f64 x #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)) |
(+.f64 x #s(literal -1/3 binary64)) |
(pow.f64 (E.f64) (+.f64 (log1p.f64 (/.f64 #s(literal -1/3 binary64) x)) (log.f64 x))) |
(+.f64 x #s(literal -1/3 binary64)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (/.f64 #s(literal -1/3 binary64) x)) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (log1p.f64 (/.f64 #s(literal -1/3 binary64) x)) (log.f64 x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log1p.f64 (/.f64 #s(literal -1/3 binary64) x)) (log.f64 x)))) (sqrt.f64 (+.f64 (log1p.f64 (/.f64 #s(literal -1/3 binary64) x)) (log.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) #s(literal 2 binary64))) |
(+.f64 x #s(literal -1/3 binary64)) |
(log.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) x)) |
(+.f64 x #s(literal -1/3 binary64)) |
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))) #s(literal 3 binary64))) |
(+.f64 x #s(literal -1/3 binary64)) |
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))))) |
(+.f64 x #s(literal -1/3 binary64)) |
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))))) |
(+.f64 x #s(literal -1/3 binary64)) |
(exp.f64 (+.f64 (log1p.f64 (/.f64 #s(literal -1/3 binary64) x)) (log.f64 x))) |
(+.f64 x #s(literal -1/3 binary64)) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (log1p.f64 (/.f64 #s(literal -1/3 binary64) x)) (log.f64 x))) #s(literal 3 binary64))) |
(+.f64 x #s(literal -1/3 binary64)) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 (/.f64 #s(literal -1/3 binary64) x)) (log.f64 x))) #s(literal 1/3 binary64))) |
(+.f64 x #s(literal -1/3 binary64)) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (log1p.f64 (/.f64 #s(literal -1/3 binary64) x)) (log.f64 x))) #s(literal 2 binary64))) |
(+.f64 x #s(literal -1/3 binary64)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -1/3 binary64) x))) |
(+.f64 x #s(literal -1/3 binary64)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/3 binary64) x) x)) |
(+.f64 x #s(literal -1/3 binary64)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (/.f64 #s(literal -1/3 binary64) x))) |
(+.f64 x #s(literal -1/3 binary64)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 #s(literal -1/3 binary64) x) x)) |
(+.f64 x #s(literal -1/3 binary64)) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x (/.f64 #s(literal -1/3 binary64) x))) |
(+.f64 x #s(literal -1/3 binary64)) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) x) x)) |
(+.f64 x #s(literal -1/3 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (/.f64 #s(literal -1/3 binary64) x))) |
(+.f64 x #s(literal -1/3 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (/.f64 #s(literal -1/3 binary64) x) x)) |
(+.f64 x #s(literal -1/3 binary64)) |
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(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
(fma.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))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
(fma.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))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
Compiled 2624 to 656 computations (75% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 201 | 0 | 201 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 1 | 1 |
| Total | 201 | 4 | 205 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 x #s(literal -1/3 binary64)) |
| ✓ | 99.9% | (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
| ✓ | 51.9% | x |
| ✓ | 50.3% | #s(literal -1/3 binary64) |
Compiled 34 to 23 computations (32.4% 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 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
| Outputs |
|---|
(+.f64 x #s(literal -1/3 binary64)) |
2 calls:
| 4.0ms | x |
| 4.0ms | (-.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:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 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:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.3% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 6.148334607325506e-8 | 593283484297.2244 |
| 24.0ms | -379.64350517980654 | -6.694131485457955e-5 |
| 24.0ms | 304× | 0 | valid |
Compiled 124 to 103 computations (16.9% saved)
ival-div: 6.0ms (56.1% of total)ival-sub: 4.0ms (37.4% of total)const: 1.0ms (9.3% of total)backward-pass: 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) |
| 35× | fma-neg |
| 12× | distribute-lft-neg-in |
| 9× | sub-neg |
| 8× | cancel-sign-sub-inv |
| 7× | fma-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 52 |
| 1 | 28 | 48 |
| 2 | 52 | 40 |
| 3 | 79 | 40 |
| 4 | 128 | 40 |
| 5 | 159 | 40 |
| 6 | 169 | 40 |
| 7 | 176 | 40 |
| 8 | 184 | 40 |
| 9 | 189 | 40 |
| 10 | 190 | 40 |
| 1× | done |
| 1× | saturated |
Compiled 35 to 21 computations (40% saved)
Compiled 44 to 28 computations (36.4% saved)
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