
Time bar (total: 2.4s)
| 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-add: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 436.0ms | 8256× | 0 | valid |
ival-div: 223.0ms (78.4% of total)ival-add: 46.0ms (16.2% of total)const: 13.0ms (4.6% of total)backward-pass: 3.0ms (1.1% of total)| 1× | egg-herbie |
| 29× | fma-neg |
| 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 | - | 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) |
| 57.0ms | 512× | 0 | valid |
Compiled 32 to 17 computations (46.9% saved)
ival-div: 5.0ms (57.3% of total)ival-add: 3.0ms (34.4% of total)const: 1.0ms (11.5% 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)) |
| 12.0ms | 256× | 0 | valid |
Compiled 7 to 4 computations (42.9% saved)
...c/correct-round.rkt:129:19: 4.0ms (68.4% of total)ival-add: 2.0ms (34.2% 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 #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 |
| 460× | div-sub |
| 445× | times-frac |
| 423× | distribute-lft-neg-in |
| 387× | fma-neg |
| 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)))) |
(*.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 #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 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))) |
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(/.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)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 109 | 3 | 112 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 109 | 4 | 113 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 76.2% | (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64))) |
| ✓ | 100.0% | (+.f64 x #s(literal 1/3 binary64)) |
| ▶ | 51.3% | x |
| ▶ | 50.6% | #s(literal 1/3 binary64) |
Compiled 17 to 12 computations (29.4% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 x #s(literal -1/3 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal -1/9 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64))) |
| 2× | +-commutative |
| 1× | fma-undefine |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 66 |
| 1 | 15 | 66 |
| 2 | 16 | 66 |
| 1× | saturated |
| Inputs |
|---|
#s(literal 1/3 binary64) |
x |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64))) |
(fma.f64 x x #s(literal -1/9 binary64)) |
x |
#s(literal -1/9 binary64) |
(+.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
| Outputs |
|---|
#s(literal 1/3 binary64) |
x |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64))) |
(fma.f64 x x #s(literal -1/9 binary64)) |
x |
#s(literal -1/9 binary64) |
(+.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 x x #s(literal -1/9 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal -1/3 binary64)) |
| ✓ | accuracy | 76.2% | (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64))) |
| 28.0ms | 256× | 0 | valid |
Compiled 22 to 8 computations (63.6% saved)
...c/correct-round.rkt:129:19: 11.0ms (61.9% of total)ival-fma: 4.0ms (22.5% of total)ival-div: 2.0ms (11.3% of total)ival-add: 1.0ms (5.6% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))> |
#<alt (fma.f64 x x #s(literal -1/9 binary64))> |
#<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))))> |
#<alt #s(literal -1/9 binary64)> |
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64))> |
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64))> |
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64))> |
#<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 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))> |
#<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 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))> |
#<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))))> |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (/ (+ (* x x) -1/9) (+ x -1/3)) |
| 1.0ms | x | @ | 0 | (/ (+ (* x x) -1/9) (+ x -1/3)) |
| 0.0ms | x | @ | inf | (/ (+ (* x x) -1/9) (+ x -1/3)) |
| 0.0ms | x | @ | -inf | (+ (* x x) -1/9) |
| 0.0ms | x | @ | inf | (+ (* x x) -1/9) |
| 1× | batch-egg-rewrite |
| 546× | log1p-expm1-u |
| 546× | expm1-log1p-u |
| 473× | pow1 |
| 456× | unpow-prod-down |
| 258× | log-prod |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 55 |
| 1 | 108 | 35 |
| 2 | 1505 | 35 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64))) |
(fma.f64 x x #s(literal -1/9 binary64)) |
(+.f64 x #s(literal -1/3 binary64)) |
| Outputs |
|---|
(+.f64 x #s(literal 1/3 binary64)) |
(+.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 x #s(literal -1/3 binary64)) |
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 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 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 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.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 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.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 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (neg.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) (fma.f64 x x #s(literal -1/9 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal -2 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.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 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x #s(literal 1/3 binary64)))) |
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(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 (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 |
| 650× | fma-define |
| 537× | prod-exp |
| 373× | associate-*r/ |
| 240× | associate-*l/ |
| 215× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 423 | 4734 |
| 1 | 819 | 4487 |
| 2 | 2754 | 4435 |
| 3 | 7916 | 4435 |
| 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)))) |
#s(literal -1/9 binary64) |
(-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)) |
(-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)) |
(-.f64 (pow.f64 x #s(literal 2 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 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#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 x #s(literal 1/3 binary64)) |
(+.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 x #s(literal -1/3 binary64)) |
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 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 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 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.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 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.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 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (neg.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) (fma.f64 x x #s(literal -1/9 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal -2 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.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 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 2 binary64)) (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 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 2 binary64)) (sqrt.f64 (+.f64 x #s(literal -1/3 binary64)))) (/.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.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))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 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 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 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)) (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x #s(literal -1/3 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64)))) #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)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64)) |
(pow.f64 (E.f64) (log.f64 (+.f64 x #s(literal 1/3 binary64)))) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 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))))) |
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) (neg.f64 x)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 x #s(literal -1/3 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))) |
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 3 binary64)) (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))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1 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)) |
(+.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2 binary64))) |
(+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/9 binary64)) |
(+.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal -1/9 binary64)))) |
(+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1/9 binary64))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x #s(literal -1/9 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x #s(literal -1/9 binary64)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1/9 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1/9 binary64)))))) |
(-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)) |
(-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (log.f64 (E.f64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))) |
(*.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64)))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/729 binary64)) (+.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 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (+.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 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) |
(pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 2 binary64)) |
(pow.f64 (E.f64) (log.f64 (fma.f64 x x #s(literal -1/9 binary64)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x x #s(literal -1/9 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (fma.f64 x x #s(literal -1/9 binary64))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x x #s(literal -1/9 binary64))))) (sqrt.f64 (log.f64 (fma.f64 x x #s(literal -1/9 binary64))))) |
(sqrt.f64 (pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (fma.f64 x x #s(literal -1/9 binary64)))) |
(cbrt.f64 (pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (fma.f64 x x #s(literal -1/9 binary64)))) |
(log1p.f64 (expm1.f64 (fma.f64 x x #s(literal -1/9 binary64)))) |
(exp.f64 (log.f64 (fma.f64 x x #s(literal -1/9 binary64)))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64)))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x x #s(literal -1/9 binary64)))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64)))) #s(literal 2 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 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 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 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))) #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)) (cbrt.f64 (sqrt.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 #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 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (neg.f64 (+.f64 x #s(literal 1/3 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 (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 (-.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (-.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))) |
(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) |
#s(literal -1/9 binary64) |
(-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 x x #s(literal -1/9 binary64)) |
(-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 x x #s(literal -1/9 binary64)) |
(-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 x x #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 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#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 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 #s(literal 1/3 binary64) 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 (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 x #s(literal 1/3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x #s(literal 1/3 binary64)))))) |
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (+.f64 #s(literal 1/3 binary64) x))))) |
(-.f64 x #s(literal -1/3 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 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 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 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.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 x #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 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 (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 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (sqrt.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 x #s(literal -1/3 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 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 (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) |
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(+.f64 x #s(literal -1/3 binary64)) |
(pow.f64 (E.f64) (log.f64 (+.f64 x #s(literal -1/3 binary64)))) |
(+.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)) |
(*.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 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 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 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)) |
(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))) |
(+.f64 x #s(literal -1/3 binary64)) |
(log.f64 (exp.f64 (+.f64 x #s(literal -1/3 binary64)))) |
(+.f64 x #s(literal -1/3 binary64)) |
(cbrt.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))) |
(+.f64 x #s(literal -1/3 binary64)) |
(expm1.f64 (log1p.f64 (+.f64 x #s(literal -1/3 binary64)))) |
(+.f64 x #s(literal -1/3 binary64)) |
(log1p.f64 (expm1.f64 (+.f64 x #s(literal -1/3 binary64)))) |
(+.f64 x #s(literal -1/3 binary64)) |
(exp.f64 (log.f64 (+.f64 x #s(literal -1/3 binary64)))) |
(+.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))) |
(+.f64 x #s(literal -1/3 binary64)) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/3 binary64))) |
(+.f64 x #s(literal -1/3 binary64)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64))) |
(+.f64 x #s(literal -1/3 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal -1/3 binary64)) |
(+.f64 x #s(literal -1/3 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal -1/3 binary64)) |
(+.f64 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)) |
(+.f64 x #s(literal -1/3 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal -1/3 binary64)) |
(+.f64 x #s(literal -1/3 binary64)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/3 binary64)) |
(+.f64 x #s(literal -1/3 binary64)) |
Compiled 3064 to 668 computations (78.2% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 222 | 1 | 223 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 1 | 1 |
| Total | 222 | 5 | 227 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 76.2% | (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64))) |
| ▶ | 50.3% | (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
| ✓ | 100.0% | (+.f64 x #s(literal 1/3 binary64)) |
| ✓ | 51.3% | x |
| ✓ | 50.6% | #s(literal 1/3 binary64) |
Compiled 23 to 17 computations (26.1% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x #s(literal -1/3 binary64)) | |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
| 1× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 1 | 10 | 32 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
#s(literal -1/9 binary64) |
(+.f64 x #s(literal -1/3 binary64)) |
x |
#s(literal -1/3 binary64) |
| Outputs |
|---|
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
#s(literal -1/9 binary64) |
(+.f64 x #s(literal -1/3 binary64)) |
x |
#s(literal -1/3 binary64) |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 100.0% | (+.f64 x #s(literal -1/3 binary64)) | |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
| 22.0ms | 256× | 0 | valid |
Compiled 13 to 6 computations (53.8% saved)
...c/correct-round.rkt:129:19: 7.0ms (53% of total)ival-div: 4.0ms (30.3% of total)ival-add: 2.0ms (15.1% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal -1/9 binary64) (+.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) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))))> |
#<alt (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) x))))))> |
#<alt (/.f64 #s(literal -1/9 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) x))) x))> |
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal 1/81 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/9 binary64)) x)> |
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/243 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) x)))) x)> |
#<alt (/.f64 #s(literal -1/9 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) x))) x))> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (+.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) x)))) x))> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/243 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/27 binary64)) x))) x))> |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/ -1/9 (+ x -1/3)) |
| 0.0ms | x | @ | inf | (/ -1/9 (+ x -1/3)) |
| 0.0ms | x | @ | 0 | (/ -1/9 (+ x -1/3)) |
| 1× | batch-egg-rewrite |
| 430× | log1p-expm1-u |
| 430× | expm1-log1p-u |
| 411× | add-exp-log |
| 400× | add-log-exp |
| 379× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 16 |
| 1 | 87 | 16 |
| 2 | 1158 | 16 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) (log.f64 (E.f64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) (cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)) #s(literal 1/81 binary64)))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)) #s(literal 1/81 binary64))) (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) (sqrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) |
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (neg.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) (log.f64 (exp.f64 #s(literal -1/9 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1/9 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 #s(literal -1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 x #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1/9 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)) #s(literal 1/81 binary64)) #s(literal -1/9 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))))) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1/9 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -9 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (exp.f64 (log.f64 #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64))))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)) #s(literal 1/81 binary64)) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))))) |
(pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)) #s(literal 1/81 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -9 binary64)) #s(literal -1 binary64)) |
(pow.f64 (E.f64) (log.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) |
(pow.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -9 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))))) (sqrt.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))))) |
(neg.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)) #s(literal 1/81 binary64))) |
(log.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) |
(cbrt.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) |
(log1p.f64 (expm1.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) |
(exp.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -9 binary64))) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 507× | associate-*r* |
| 457× | associate-*l* |
| 427× | distribute-lft-neg-out |
| 353× | distribute-rgt-neg-out |
| 304× | fma-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 211 | 2037 |
| 1 | 423 | 1959 |
| 2 | 1097 | 1901 |
| 3 | 4450 | 1899 |
| 1× | node limit |
| Inputs |
|---|
#s(literal 1/3 binary64) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)))) |
(+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) x)))))) |
(/.f64 #s(literal -1/9 binary64) x) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) x))) x)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal 1/81 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/9 binary64)) x) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/243 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) x)))) x) |
(/.f64 #s(literal -1/9 binary64) x) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) x))) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (+.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) x)))) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/243 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/27 binary64)) x))) x)) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) (log.f64 (E.f64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) (cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)) #s(literal 1/81 binary64)))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)) #s(literal 1/81 binary64))) (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) (sqrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) |
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (neg.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) (log.f64 (exp.f64 #s(literal -1/9 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1/9 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 #s(literal -1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 x #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1/9 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)) #s(literal 1/81 binary64)) #s(literal -1/9 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))))) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1/9 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -9 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (exp.f64 (log.f64 #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64))))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)) #s(literal 1/81 binary64)) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))))) |
(pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)) #s(literal 1/81 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -9 binary64)) #s(literal -1 binary64)) |
(pow.f64 (E.f64) (log.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) |
(pow.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -9 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))))) (sqrt.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))))) |
(neg.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)) #s(literal 1/81 binary64))) |
(log.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) |
(cbrt.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) |
(log1p.f64 (expm1.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) |
(exp.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -9 binary64))) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(literal 1/3 binary64) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)))) |
(+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) |
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1/3 binary64)) |
(+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) x)))))) |
(+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1/3 binary64)) |
(/.f64 #s(literal -1/9 binary64) x) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) x))) x)) |
(neg.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x)) |
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) (neg.f64 x)) |
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1/27 binary64) x)) x) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal 1/81 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/9 binary64)) x) |
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1/81 binary64) x)) x) #s(literal -1/9 binary64)) x) |
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -1/81 binary64) x)) x)) x) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/243 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) x)))) x) |
(/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/81 binary64) (/.f64 #s(literal 1/243 binary64) x)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x))) x) |
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/81 binary64) (/.f64 #s(literal 1/243 binary64) x)) x) #s(literal -1/27 binary64)) x) #s(literal 1/9 binary64)) x) |
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/81 binary64) (/.f64 #s(literal -1/243 binary64) x)) x) #s(literal -1/27 binary64)) x)) x) |
(/.f64 #s(literal -1/9 binary64) x) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) x))) x)) |
(neg.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x)) |
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) (neg.f64 x)) |
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1/27 binary64) x)) x) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (+.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) x)))) x)) |
(neg.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (+.f64 (/.f64 #s(literal 1/27 binary64) x) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) |
(/.f64 (+.f64 #s(literal 1/9 binary64) (+.f64 (/.f64 #s(literal 1/27 binary64) x) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 2 binary64))))) (neg.f64 x)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/27 binary64) x) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1/9 binary64)) x) |
(/.f64 (+.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1/27 binary64) x)) (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 2 binary64)))) x) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/243 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/27 binary64)) x))) x)) |
(/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/81 binary64) (/.f64 #s(literal 1/243 binary64) x)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x))) x) |
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/81 binary64) (/.f64 #s(literal 1/243 binary64) x)) x) #s(literal -1/27 binary64)) x) #s(literal 1/9 binary64)) x) |
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/81 binary64) (/.f64 #s(literal -1/243 binary64) x)) x) #s(literal -1/27 binary64)) x)) x) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))))) |
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
(*.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
(*.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) (log.f64 (E.f64))) |
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) (cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)) #s(literal 1/81 binary64)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/81 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64))))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)) #s(literal 1/81 binary64))) (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/81 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) (sqrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) |
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (neg.f64 x)))) |
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64)) |
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) (log.f64 (exp.f64 #s(literal -1/9 binary64)))) |
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/9 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal -2 binary64)) (/.f64 #s(literal -1/9 binary64) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64)))) |
(*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/9 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/9 binary64) (sqrt.f64 (+.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (/.f64 #s(literal -1/9 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 #s(literal -1/9 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 3 binary64)) #s(literal -1/27 binary64)))) |
(*.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (fma.f64 #s(literal 1/3 binary64) x (fma.f64 x x #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 #s(literal -1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 x #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal -1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (fma.f64 x #s(literal -1/9 binary64) #s(literal -1/27 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1/9 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) #s(literal 3 binary64))) |
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 #s(literal -1/729 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))))) (cbrt.f64 (sqrt.f64 (/.f64 #s(literal -1/729 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)))))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)) #s(literal 1/81 binary64)) #s(literal -1/9 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)) #s(literal -1/729 binary64))) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))))) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))))) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1/9 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -9 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -9 binary64)) #s(literal 2 binary64))))) |
(/.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) (cbrt.f64 (pow.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) #s(literal 2 binary64)))) |
(*.f64 (exp.f64 (log.f64 #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 #s(literal -1/729 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))))) (cbrt.f64 (sqrt.f64 (/.f64 #s(literal -1/729 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64)))))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)) #s(literal 1/81 binary64)) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64))))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)) #s(literal -1/729 binary64))) (cbrt.f64 (+.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))))) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))))) |
(pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
(pow.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) #s(literal 3 binary64)) |
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
(pow.f64 (*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)) #s(literal 1/81 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 #s(literal 1/81 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)))) |
(pow.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
(pow.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -9 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
(pow.f64 (E.f64) (log.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) |
(pow.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -9 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))))) (sqrt.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))))) |
(neg.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)) #s(literal 1/81 binary64))) |
(sqrt.f64 (*.f64 #s(literal 1/81 binary64) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)))) |
(log.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) |
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
(cbrt.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64))) |
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
(expm1.f64 (log1p.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) |
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
(log1p.f64 (expm1.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) |
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
(exp.f64 (log.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) |
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) #s(literal 3 binary64))) |
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) #s(literal 2 binary64))) |
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -9 binary64))) #s(literal -1 binary64))) |
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
Compiled 1934 to 506 computations (73.8% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 162 | 0 | 162 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 162 | 5 | 167 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 76.2% | (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64))) |
| ✓ | 50.3% | (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) |
| ✓ | 100.0% | (+.f64 x #s(literal 1/3 binary64)) |
| ✓ | 51.3% | x |
| ✓ | 50.6% | #s(literal 1/3 binary64) |
Compiled 47 to 30 computations (36.2% 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 #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))) |
| Outputs |
|---|
(+.f64 x #s(literal 1/3 binary64)) |
2 calls:
| 2.0ms | x |
| 2.0ms | (+.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 |
|---|---|---|
| 98.4% | 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:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.6% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 0.0003606124929270782 | 720091330381463400.0 |
| 15.0ms | -180.39785639614183 | -0.16270236030932084 |
| 12.0ms | 304× | 0 | valid |
Compiled 124 to 103 computations (16.9% saved)
ival-div: 3.0ms (61.9% of total)ival-add: 2.0ms (41.3% of total)const: 1.0ms (20.6% 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 -6124895493223875/18014398509481984 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 -6124895493223875/18014398509481984 binary64)) x (if (<=.f64 x #s(literal 6124895493223875/18014398509481984 binary64)) #s(literal 1/3 binary64) x)) |
#s(literal 1/3 binary64) |
| 29× | fma-neg |
| 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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