
Time bar (total: 3.5s)
| 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)| 363.0ms | 8256× | 0 | valid |
ival-div: 112.0ms (61.4% of total)ival-add: 56.0ms (30.7% of total)const: 12.0ms (6.6% of total)backward-pass: 2.0ms (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) |
| 23.0ms | 512× | 0 | valid |
Compiled 32 to 17 computations (46.9% saved)
ival-div: 5.0ms (60.4% of total)ival-add: 3.0ms (36.3% of total)const: 1.0ms (12.1% 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:121:19: 4.0ms (70.7% of total)ival-add: 2.0ms (35.4% 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)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 107 | 5 | 112 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 107 | 6 | 113 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 63.2% | (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))) |
| ✓ | 100.0% | (+.f64 x #s(literal 1/3 binary64)) |
| ▶ | 73.4% | (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
| ▶ | 99.8% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
| ▶ | 55.1% | x |
| ▶ | 46.0% | #s(literal 1/3 binary64) |
Compiled 82 to 61 computations (25.6% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 x #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (-.f64 x #s(literal 1/3 binary64))) |
| ✓ | cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal -1/3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal -1/9 binary64)) |
| ✓ | cost-diff | 128 | (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 384 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
| 69× | fma-define |
| 17× | associate-*l* |
| 16× | associate-*r* |
| 15× | associate-*r/ |
| 11× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 290 |
| 1 | 58 | 276 |
| 2 | 98 | 261 |
| 3 | 206 | 261 |
| 4 | 257 | 261 |
| 5 | 292 | 261 |
| 6 | 297 | 261 |
| 7 | 298 | 261 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
x |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) |
#s(literal 1/3 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#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)))) |
(fma.f64 x x #s(literal -1/9 binary64)) |
x |
#s(literal -1/9 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) |
#s(literal 1 binary64) |
(+.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))) |
(+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal 1/27 binary64) |
(+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))) |
#s(literal 1/9 binary64) |
(*.f64 x (-.f64 x #s(literal 1/3 binary64))) |
(-.f64 x #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(+.f64 x #s(literal 1/3 binary64)) |
x |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#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))) |
(fma.f64 x x #s(literal -1/9 binary64)) |
x |
#s(literal -1/9 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) |
#s(literal 1 binary64) |
(+.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal 1/27 binary64) |
(+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))) |
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
#s(literal 1/9 binary64) |
(*.f64 x (-.f64 x #s(literal 1/3 binary64))) |
(*.f64 x (+.f64 x #s(literal -1/3 binary64))) |
(-.f64 x #s(literal 1/3 binary64)) |
(+.f64 x #s(literal -1/3 binary64)) |
#s(literal 1/3 binary64) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ✓ | accuracy | 99.9% | (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 x (-.f64 x #s(literal 1/3 binary64))) |
| ✓ | accuracy | 64.2% | (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal -1/3 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x x #s(literal -1/9 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) |
| ✓ | accuracy | 73.4% | (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 99.8% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) |
| 78.0ms | 256× | 0 | valid |
Compiled 98 to 23 computations (76.5% saved)
...c/correct-round.rkt:121:19: 22.0ms (41.7% of total)ival-mult: 8.0ms (15.1% of total)ival-div: 6.0ms (11.4% of total)ival-pow: 6.0ms (11.4% of total)ival-add: 5.0ms (9.5% of total)ival-fma: 3.0ms (5.7% of total)ival-sub: 1.0ms (1.9% of total)const: 1.0ms (1.9% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))> |
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))> |
#<alt (/.f64 #s(literal 1 binary64) x)> |
#<alt (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))> |
#<alt (fma.f64 x x #s(literal -1/9 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))> |
#<alt (+.f64 x #s(literal -1/3 binary64))> |
#<alt (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))> |
#<alt (pow.f64 x #s(literal 3 binary64))> |
#<alt (*.f64 x (-.f64 x #s(literal 1/3 binary64)))> |
#<alt (-.f64 x #s(literal 1/3 binary64))> |
#<alt (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))))> |
#<alt (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))> |
| Outputs |
|---|
#<alt #s(literal 1/3 binary64)> |
#<alt (+.f64 #s(literal 1/3 binary64) x)> |
#<alt (+.f64 #s(literal 1/3 binary64) x)> |
#<alt (+.f64 #s(literal 1/3 binary64) x)> |
#<alt x> |
#<alt x> |
#<alt (/.f64 #s(literal 1/3 binary64) x)> |
#<alt (/.f64 (+.f64 #s(literal 1/3 binary64) x) x)> |
#<alt (/.f64 (+.f64 #s(literal 1/3 binary64) x) x)> |
#<alt (/.f64 (+.f64 #s(literal 1/3 binary64) x) x)> |
#<alt #s(literal 1 binary64)> |
#<alt #s(literal 1 binary64)> |
#<alt (/.f64 #s(literal 1/3 binary64) x)> |
#<alt (/.f64 #s(literal 1/3 binary64) x)> |
#<alt (/.f64 #s(literal 1/3 binary64) x)> |
#<alt (/.f64 #s(literal 1/3 binary64) x)> |
#<alt (/.f64 #s(literal 1/3 binary64) x)> |
#<alt (/.f64 #s(literal 1/3 binary64) x)> |
#<alt (/.f64 #s(literal 1/3 binary64) x)> |
#<alt (/.f64 #s(literal 1/3 binary64) x)> |
#<alt (/.f64 #s(literal 1/3 binary64) x)> |
#<alt (/.f64 #s(literal 1/3 binary64) x)> |
#<alt (/.f64 #s(literal 1/3 binary64) x)> |
#<alt (/.f64 #s(literal 1/3 binary64) x)> |
#<alt #s(literal 1/3 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 -3 binary64)> |
#<alt (-.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 3 binary64))> |
#<alt (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -27 binary64) x) #s(literal 9 binary64))) #s(literal 3 binary64))> |
#<alt (-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -81 binary64) x) #s(literal 27 binary64))) #s(literal 9 binary64))) #s(literal 3 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) x)> |
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) x)> |
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) x)> |
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) x)> |
#<alt (/.f64 #s(literal 1 binary64) x)> |
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) x)> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)) x))> |
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x)))) x)) #s(literal 1 binary64)) x))> |
#<alt #s(literal -1/3 binary64)> |
#<alt (-.f64 x #s(literal 1/3 binary64))> |
#<alt (-.f64 x #s(literal 1/3 binary64))> |
#<alt (-.f64 x #s(literal 1/3 binary64))> |
#<alt x> |
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt x> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))> |
#<alt #s(literal 1/27 binary64)> |
#<alt (+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))> |
#<alt (+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))> |
#<alt (+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))> |
#<alt (pow.f64 x #s(literal 3 binary64))> |
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))> |
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))> |
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))> |
#<alt (pow.f64 x #s(literal 3 binary64))> |
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))> |
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))> |
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))> |
#<alt (*.f64 #s(literal -1/3 binary64) x)> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt #s(literal -1/3 binary64)> |
#<alt x> |
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt x> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))> |
#<alt #s(literal 1/3 binary64)> |
#<alt (+.f64 #s(literal 1/3 binary64) x)> |
#<alt (+.f64 #s(literal 1/3 binary64) x)> |
#<alt (+.f64 #s(literal 1/3 binary64) x)> |
#<alt x> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt x> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt #s(literal 1/9 binary64)> |
#<alt (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) x))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (pow.f64 x #s(literal 2 binary64))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))) x))))> |
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))) x))))> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/ 1 (+ x -1/3)) |
| 1.0ms | x | @ | -inf | (* x (+ 1 (* 1/3 (/ 1 x)))) |
| 1.0ms | x | @ | 0 | (* x (+ 1 (* 1/3 (/ 1 x)))) |
| 0.0ms | x | @ | inf | (* (+ (* x x) -1/9) (/ 1 (+ x -1/3))) |
| 0.0ms | x | @ | 0 | (* (+ (* x x) -1/9) (/ 1 (+ x -1/3))) |
| 1× | batch-egg-rewrite |
| 785× | prod-diff |
| 677× | log1p-expm1-u |
| 168× | expm1-log1p-u |
| 164× | add-cube-cbrt |
| 163× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 258 |
| 1 | 408 | 230 |
| 2 | 5444 | 230 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 x x #s(literal -1/9 binary64)) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) |
(+.f64 x #s(literal -1/3 binary64)) |
(+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 x (-.f64 x #s(literal 1/3 binary64))) |
(-.f64 x #s(literal 1/3 binary64)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))) |
(+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))) |
| Outputs |
|---|
(+.f64 x (*.f64 x (/.f64 #s(literal 1/3 binary64) x))) |
(+.f64 x (*.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))) |
(+.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) x)) x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))))) #s(literal 1 binary64)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x (/.f64 #s(literal 1/3 binary64) x))) (*.f64 x (*.f64 x (/.f64 #s(literal 1/3 binary64) x)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x (/.f64 #s(literal 1/3 binary64) x)))) (-.f64 x (*.f64 x (/.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) x) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) x)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) |
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64))) |
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)))) |
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))))) |
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))))) |
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 (/.f64 #s(literal 1/3 binary64) x)))) |
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (/.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (/.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (/.f64 #s(literal 1/3 binary64) x))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) (/.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
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(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (/.f64 (sqrt.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 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(*.f64 (+.f64 #s(literal -1/27 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (cbrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.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 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64))) (cbrt.f64 (/.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 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.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 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (cbrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/729 binary64))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))) |
(pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) #s(literal -1 binary64)) |
(neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1/27 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64))) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))) (/.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64)))))) |
(*.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64)))) (+.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/729 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) (-.f64 #s(literal 1/81 binary64) (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/729 binary64)) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/729 binary64)) (+.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64))))) |
(/.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/729 binary64))) (neg.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (-.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64))) |
(pow.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(exp.f64 (log.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64))) |
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64)) |
(fma.f64 (+.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/9 binary64)) |
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/9 binary64)) |
| 1× | egg-herbie |
| 556× | fma-neg |
| 336× | associate-*r* |
| 314× | associate-*l* |
| 309× | exp-prod |
| 241× | cube-prod |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 830 | 16928 |
| 1 | 1713 | 15044 |
| 2 | 6149 | 12008 |
| 1× | node limit |
| Inputs |
|---|
#s(literal 1/3 binary64) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 #s(literal 1/3 binary64) x) |
x |
x |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 (+.f64 #s(literal 1/3 binary64) x) x) |
(/.f64 (+.f64 #s(literal 1/3 binary64) x) x) |
(/.f64 (+.f64 #s(literal 1/3 binary64) x) x) |
#s(literal 1 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 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)))))) |
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#s(literal -1/3 binary64) |
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.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 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64))) (cbrt.f64 (/.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 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.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 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (cbrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/729 binary64))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))) |
(pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) #s(literal -1 binary64)) |
(neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1/27 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64))) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 3 binary64)))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))) (/.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64)))))) |
(*.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64)))) (+.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/729 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) (-.f64 #s(literal 1/81 binary64) (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/729 binary64)) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/729 binary64)) (+.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64))))) |
(/.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/729 binary64))) (neg.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (-.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64))) |
(pow.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(exp.f64 (log.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64))) |
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64)) |
(fma.f64 (+.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/9 binary64)) |
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/9 binary64)) |
| Outputs |
|---|
#s(literal 1/3 binary64) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 #s(literal 1/3 binary64) x) |
x |
x |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 (+.f64 #s(literal 1/3 binary64) x) x) |
(/.f64 (+.f64 #s(literal 1/3 binary64) x) x) |
(/.f64 (+.f64 #s(literal 1/3 binary64) x) x) |
#s(literal 1 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 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)))))) |
(fma.f64 x x #s(literal -1/9 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)))))) |
(fma.f64 x x #s(literal -1/9 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)))))) |
(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)))))) |
(fma.f64 x x #s(literal -1/9 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)))))) |
(fma.f64 x x #s(literal -1/9 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)))))) |
(fma.f64 x x #s(literal -1/9 binary64)) |
#s(literal -3 binary64) |
(-.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 3 binary64)) |
(fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64)) |
(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) |
(-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -27 binary64) x) #s(literal 9 binary64))) #s(literal 3 binary64)) |
(fma.f64 x (fma.f64 #s(literal -27 binary64) x #s(literal -9 binary64)) #s(literal -3 binary64)) |
(fma.f64 x (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64)) #s(literal -3 binary64)) |
(-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -81 binary64) x) #s(literal 27 binary64))) #s(literal 9 binary64))) #s(literal 3 binary64)) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -81 binary64) x #s(literal -27 binary64)) #s(literal -9 binary64)) #s(literal -3 binary64)) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -81 binary64) #s(literal -27 binary64)) #s(literal -9 binary64)) #s(literal -3 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) x) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) x) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)) x)) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x) #s(literal -1 binary64)) x)) |
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(fma.f64 (+.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x))) |
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/9 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x))) |
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/9 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x))) |
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
Compiled 8227 to 1660 computations (79.8% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 518 | 2 | 520 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 520 | 6 | 526 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 63.2% | (/.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))))) |
| ▶ | 46.5% | (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))) |
| ✓ | 100.0% | (+.f64 x #s(literal 1/3 binary64)) |
| ▶ | 45.7% | (*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
| ✓ | 55.1% | x |
| ✓ | 46.0% | #s(literal 1/3 binary64) |
Compiled 40 to 32 computations (20% saved)
| 1× | egg-herbie |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | -6272 | (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))) | |
| ✓ | cost-diff | -6272 | (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))) |
| cost-diff | 0 | (-.f64 x #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (*.f64 x (-.f64 x #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (+.f64 x #s(literal -1/3 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) | |
| ✓ | cost-diff | 128 | (*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
| 12× | fma-define |
| 8× | +-commutative |
| 4× | associate-+r+ |
| 4× | associate-+l+ |
| 3× | 1-exp |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 141 |
| 1 | 33 | 133 |
| 2 | 44 | 133 |
| 3 | 62 | 133 |
| 4 | 72 | 133 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
#s(literal -1/9 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) |
#s(literal 1 binary64) |
(+.f64 x #s(literal -1/3 binary64)) |
x |
#s(literal -1/3 binary64) |
(/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))) |
#s(literal 1/27 binary64) |
(+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))) |
#s(literal 1/9 binary64) |
(*.f64 x (-.f64 x #s(literal 1/3 binary64))) |
x |
(-.f64 x #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
| Outputs |
|---|
(*.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))) |
#s(literal -1/9 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) |
#s(literal 1 binary64) |
(+.f64 x #s(literal -1/3 binary64)) |
x |
#s(literal -1/3 binary64) |
(/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))) |
(/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
#s(literal 1/27 binary64) |
(+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))) |
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
#s(literal 1/9 binary64) |
(*.f64 x (-.f64 x #s(literal 1/3 binary64))) |
(*.f64 x (+.f64 x #s(literal -1/3 binary64))) |
x |
(-.f64 x #s(literal 1/3 binary64)) |
(+.f64 x #s(literal -1/3 binary64)) |
#s(literal 1/3 binary64) |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 100.0% | (-.f64 x #s(literal 1/3 binary64)) | |
| accuracy | 99.9% | (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))) | |
| accuracy | 99.8% | (*.f64 x (-.f64 x #s(literal 1/3 binary64))) | |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))) |
| accuracy | 100.0% | (+.f64 x #s(literal -1/3 binary64)) | |
| accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) | |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
| 79.0ms | 256× | 0 | valid |
Compiled 49 to 15 computations (69.4% saved)
...c/correct-round.rkt:121:19: 16.0ms (51.3% of total)ival-add: 5.0ms (16% of total)ival-div: 4.0ms (12.8% of total)ival-mult: 4.0ms (12.8% of total)ival-sub: 2.0ms (6.4% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))> |
#<alt (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))))> |
| Outputs |
|---|
#<alt #s(literal 1/3 binary64)> |
#<alt (+.f64 #s(literal 1/3 binary64) x)> |
#<alt (+.f64 #s(literal 1/3 binary64) (*.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))> |
#<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 -9 binary64) (pow.f64 x #s(literal 2 binary64))))))> |
#<alt (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -27 binary64) x) #s(literal 9 binary64))))))> |
#<alt (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal 1/81 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal 1/81 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 (+.f64 #s(literal 1/27 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 #s(literal 1/2187 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/81 binary64) (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal 1/81 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/729 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/81 binary64)) x))) (pow.f64 x #s(literal 2 binary64)))> |
#<alt (/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/729 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/81 binary64)) x))) (pow.f64 x #s(literal 2 binary64)))> |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/ 1/27 (+ 1/9 (* x (- x 1/3)))) |
| 0.0ms | x | @ | 0 | (* -1/9 (/ 1 (+ x -1/3))) |
| 0.0ms | x | @ | inf | (* -1/9 (/ 1 (+ x -1/3))) |
| 0.0ms | x | @ | inf | (/ 1/27 (+ 1/9 (* x (- x 1/3)))) |
| 0.0ms | x | @ | -inf | (* -1/9 (/ 1 (+ x -1/3))) |
| 1× | batch-egg-rewrite |
| 1013× | log1p-expm1-u |
| 1013× | expm1-log1p-u |
| 475× | log-prod |
| 226× | fma-define |
| 216× | prod-diff |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 47 |
| 1 | 227 | 43 |
| 2 | 2796 | 43 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.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 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) (cbrt.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 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 (exp.f64 (log1p.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 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) |
(/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (neg.f64 x))) |
(/.f64 (/.f64 #s(literal -1/9 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 #s(literal -1/9 binary64) (sqrt.f64 (+.f64 x #s(literal -1/3 binary64)))) (sqrt.f64 (+.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 (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)) |
(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))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.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 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64))))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(*.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 1/27 binary64)) |
(*.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/729 binary64))) (fma.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64))) |
(*.f64 (/.f64 #s(literal 1/27 binary64) (-.f64 #s(literal 1/81 binary64) (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))) |
(pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 27 binary64)) #s(literal -1 binary64)) |
(neg.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(sqrt.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) |
(log.f64 (exp.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))) |
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 615× | associate-*r* |
| 463× | fma-define |
| 287× | distribute-rgt-neg-out |
| 282× | associate-+r+ |
| 233× | distribute-lft-neg-in |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 219 | 2240 |
| 1 | 474 | 2182 |
| 2 | 1350 | 2158 |
| 3 | 5110 | 2152 |
| 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)) |
#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 -9 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -27 binary64) x) #s(literal 9 binary64)))))) |
(/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal 1/81 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 (-.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal 1/81 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 1/27 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 #s(literal 1/2187 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/81 binary64) (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal 1/81 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/729 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/81 binary64)) x))) (pow.f64 x #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/729 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/81 binary64)) x))) (pow.f64 x #s(literal 2 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))) (cbrt.f64 (exp.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 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 (exp.f64 (log1p.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 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) |
(/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (neg.f64 x))) |
(/.f64 (/.f64 #s(literal -1/9 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 #s(literal -1/9 binary64) (sqrt.f64 (+.f64 x #s(literal -1/3 binary64)))) (sqrt.f64 (+.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 (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)) |
(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))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.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 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64))))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(*.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 1/27 binary64)) |
(*.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/729 binary64))) (fma.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64))) |
(*.f64 (/.f64 #s(literal 1/27 binary64) (-.f64 #s(literal 1/81 binary64) (pow.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))) |
(pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 27 binary64)) #s(literal -1 binary64)) |
(neg.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(sqrt.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) |
(log.f64 (exp.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))) |
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 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 #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)) |
(/.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 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1/81 binary64) x)) 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 (-.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) |
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(pow.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 27 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(neg.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) |
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 27 binary64)) #s(literal -2 binary64))) |
(fabs.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(log.f64 (exp.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64))) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
Compiled 4177 to 1049 computations (74.9% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 305 | 1 | 306 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 4 | 4 |
| Total | 307 | 5 | 312 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 63.2% | (/.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))))) |
| ▶ | 45.8% | (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))) |
| ✓ | 100.0% | (+.f64 x #s(literal 1/3 binary64)) |
| ✓ | 55.1% | x |
| ✓ | 46.0% | #s(literal 1/3 binary64) |
Compiled 30 to 24 computations (20% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -6272 | (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))) |
| ✓ | cost-diff | -6272 | (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/3 binary64)) |
| 2× | fma-define |
| 1× | *-commutative |
| 1× | +-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 55 |
| 1 | 13 | 47 |
| 2 | 16 | 47 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))) |
#s(literal 1/27 binary64) |
(+.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 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) |
#s(literal 1/27 binary64) |
(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) |
#s(literal 1/9 binary64) |
(*.f64 x #s(literal -1/3 binary64)) |
x |
#s(literal -1/3 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))) |
| ✓ | accuracy | 99.6% | (*.f64 x #s(literal -1/3 binary64)) |
| 33.0ms | 256× | 0 | valid |
Compiled 21 to 8 computations (61.9% saved)
...c/correct-round.rkt:121:19: 10.0ms (61.6% of total)ival-div: 2.0ms (12.3% of total)ival-mult: 2.0ms (12.3% of total)ival-add: 1.0ms (6.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 x #s(literal -1/3 binary64))> |
#<alt (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))))> |
#<alt (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))> |
| Outputs |
|---|
#<alt (*.f64 #s(literal -1/3 binary64) x)> |
#<alt (*.f64 #s(literal -1/3 binary64) x)> |
#<alt (*.f64 #s(literal -1/3 binary64) x)> |
#<alt (*.f64 #s(literal -1/3 binary64) x)> |
#<alt (*.f64 #s(literal -1/3 binary64) x)> |
#<alt (*.f64 #s(literal -1/3 binary64) x)> |
#<alt (*.f64 #s(literal -1/3 binary64) x)> |
#<alt (*.f64 #s(literal -1/3 binary64) x)> |
#<alt (*.f64 #s(literal -1/3 binary64) x)> |
#<alt (*.f64 #s(literal -1/3 binary64) x)> |
#<alt (*.f64 #s(literal -1/3 binary64) x)> |
#<alt (*.f64 #s(literal -1/3 binary64) x)> |
#<alt #s(literal 1/3 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))> |
#<alt #s(literal 1/9 binary64)> |
#<alt (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) x))> |
#<alt (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) x))> |
#<alt (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) x))> |
#<alt (*.f64 #s(literal -1/3 binary64) x)> |
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))> |
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))> |
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))> |
#<alt (*.f64 #s(literal -1/3 binary64) x)> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x)))))> |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ 1/27 (+ 1/9 (* x -1/3))) |
| 0.0ms | x | @ | inf | (* x -1/3) |
| 0.0ms | x | @ | -inf | (/ 1/27 (+ 1/9 (* x -1/3))) |
| 0.0ms | x | @ | inf | (+ 1/9 (* x -1/3)) |
| 0.0ms | x | @ | 0 | (/ 1/27 (+ 1/9 (* x -1/3))) |
| 1× | batch-egg-rewrite |
| 535× | log1p-expm1-u |
| 535× | expm1-log1p-u |
| 477× | pow1 |
| 447× | unpow-prod-down |
| 284× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 48 |
| 1 | 109 | 40 |
| 2 | 1444 | 40 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x #s(literal -1/3 binary64)) |
(/.f64 #s(literal 1/27 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))) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/3 binary64))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/3 binary64)) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/3 binary64)) x)))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/3 binary64)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/3 binary64)) x)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 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 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 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 (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 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(log.f64 (pow.f64 (exp.f64 #s(literal -1/3 binary64)) x)) |
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 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 (log.f64 (*.f64 x #s(literal -1/3 binary64))) #s(literal 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))) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) (log.f64 (E.f64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/729 binary64) (pow.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal -2 binary64))))) |
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/729 binary64) (pow.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))) |
(*.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) #s(literal 1/27 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) (log.f64 (exp.f64 #s(literal 1/27 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) #s(literal 1/27 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) #s(literal 1/27 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64) #s(literal 1/729 binary64))) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64)) #s(literal 1/81 binary64))) |
(*.f64 (/.f64 #s(literal 1/27 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) |
(*.f64 (pow.f64 (cbrt.f64 #s(literal 1/27 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/729 binary64) (pow.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal -2 binary64))) #s(literal 1/27 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) (cbrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))))) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal 1/27 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal 27 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))) |
(*.f64 (exp.f64 (log.f64 #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) |
(pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 3 binary64)) |
(pow.f64 (*.f64 #s(literal 1/729 binary64) (pow.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal 27 binary64)) #s(literal -1 binary64)) |
(pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))) |
(pow.f64 (/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal 27 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))))) |
(neg.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) |
(sqrt.f64 (*.f64 #s(literal 1/729 binary64) (pow.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal -2 binary64)))) |
(log.f64 (exp.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))) |
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))) |
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal 27 binary64))) #s(literal -1 binary64))) |
(-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1/81 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))) (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (log.f64 (E.f64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) |
(*.f64 (cbrt.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) (sqrt.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64) #s(literal 1/729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64)) #s(literal 1/81 binary64)))) |
(*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) (cbrt.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64)) #s(literal 1/81 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64) #s(literal 1/729 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64) #s(literal 1/729 binary64)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64)) #s(literal 1/81 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64) #s(literal 1/729 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal -1/27 binary64) x)))) |
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64) #s(literal 1/729 binary64))) (neg.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64)) #s(literal 1/81 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/81 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64))) |
(pow.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) #s(literal 2 binary64)) |
(pow.f64 (E.f64) (log.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64)) #s(literal 1/81 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64) #s(literal 1/729 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))) (sqrt.f64 (log.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))) |
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) |
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) |
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) |
(exp.f64 (log.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 2 binary64))) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) |
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64) #s(literal 1/9 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.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)) #s(literal 1/9 binary64)) |
(fma.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))) #s(literal 1/9 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 (sqrt.f64 (*.f64 x #s(literal -1/3 binary64))) (sqrt.f64 (*.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal 1/9 binary64)) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1/9 binary64)) |
| 1× | egg-herbie |
| 555× | fma-define |
| 422× | distribute-lft-in |
| 412× | distribute-rgt-in |
| 350× | associate-*r/ |
| 302× | associate-/r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 370 | 3995 |
| 1 | 743 | 3867 |
| 2 | 2069 | 3785 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 #s(literal -1/3 binary64) x) |
#s(literal 1/3 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)) |
#s(literal 1/9 binary64) |
(+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) x)) |
(+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) x)) |
(+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) x)) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/3 binary64))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/3 binary64)) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/3 binary64)) x)))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/3 binary64)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/3 binary64)) x)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)) |
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(pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)) |
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(sqrt.f64 (pow.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) |
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) |
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) |
(exp.f64 (log.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 2 binary64))) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) |
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64) #s(literal 1/9 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.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)) #s(literal 1/9 binary64)) |
(fma.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))) #s(literal 1/9 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 (sqrt.f64 (*.f64 x #s(literal -1/3 binary64))) (sqrt.f64 (*.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal 1/9 binary64)) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1/9 binary64)) |
| Outputs |
|---|
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 #s(literal -1/3 binary64) x) |
#s(literal 1/3 binary64) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 x #s(literal 1/3 binary64)) |
(+.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 (/.f64 #s(literal 1/27 binary64) x) (+.f64 #s(literal 1/9 binary64) (/.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 #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)) |
(neg.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (neg.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))) x)) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (/.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)) (neg.f64 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)) (neg.f64 x)) |
#s(literal 1/9 binary64) |
(+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) x)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) |
(+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) x)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) |
(+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) x)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64))) |
(*.f64 x (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64))) |
(*.f64 x (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64))) |
(*.f64 x (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(neg.f64 (*.f64 x (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
(*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(neg.f64 (*.f64 x (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
(*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(neg.f64 (*.f64 x (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
(*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) (neg.f64 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 (pow.f64 (exp.f64 #s(literal -1/3 binary64)) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/3 binary64)) x)))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/3 binary64)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/3 binary64)) x)))) |
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.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) |
(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 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 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 (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 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(log.f64 (pow.f64 (exp.f64 #s(literal -1/3 binary64)) x)) |
(*.f64 #s(literal -1/3 binary64) x) |
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 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 (log.f64 (*.f64 x #s(literal -1/3 binary64))) #s(literal 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) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))))) |
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
(*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
(*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
(*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) (log.f64 (E.f64))) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/729 binary64) (pow.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal -2 binary64))))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/729 binary64) (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal -2 binary64))))) |
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/729 binary64) (pow.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))) |
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/729 binary64) (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal -2 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
(*.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))))) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) #s(literal 1/27 binary64)) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))) (log.f64 (exp.f64 #s(literal 1/27 binary64)))) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
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(fma.f64 (sqrt.f64 (*.f64 x #s(literal -1/3 binary64))) (sqrt.f64 (*.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal 1/9 binary64)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1/9 binary64)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) |
Compiled 2827 to 735 computations (74% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 211 | 0 | 211 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 211 | 5 | 216 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 63.2% | (/.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))))) |
| ✓ | 45.8% | (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))) |
| ✓ | 100.0% | (+.f64 x #s(literal 1/3 binary64)) |
| ✓ | 55.1% | x |
| ✓ | 46.0% | #s(literal 1/3 binary64) |
Compiled 96 to 54 computations (43.8% 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 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) |
(/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.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 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64))))) |
| Outputs |
|---|
(+.f64 x #s(literal 1/3 binary64)) |
2 calls:
| 3.0ms | x |
| 3.0ms | (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(literal 1/3 binary64) |
x |
| Outputs |
|---|
x |
#s(literal 1/3 binary64) |
x |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 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:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.0% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 0.010828833151504735 | 13.80192908865042 |
| 9.0ms | -1389.2975275119354 | -0.21336767778242996 |
| 11.0ms | 256× | 0 | valid |
Compiled 106 to 88 computations (17% saved)
ival-div: 2.0ms (50.7% of total)ival-add: 1.0ms (25.3% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 2× | if-if-or-not |
| 1× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 44 |
| 1 | 22 | 44 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x #s(literal 1/3 binary64)) |
(if (<=.f64 x #s(literal -5944751508129055/18014398509481984 binary64)) x (if (<=.f64 x #s(literal 5944751508129055/18014398509481984 binary64)) #s(literal 1/3 binary64) x)) |
#s(literal 1/3 binary64) |
| Outputs |
|---|
(+.f64 x #s(literal 1/3 binary64)) |
(if (<=.f64 x #s(literal -5944751508129055/18014398509481984 binary64)) x (if (<=.f64 x #s(literal 5944751508129055/18014398509481984 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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