
Time bar (total: 5.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 7 to 7 computations (0% saved)
| 698.0ms | 8256× | 0 | valid |
ival-add: 108.0ms (59.1% of total)ival-mult: 61.0ms (33.4% of total)ival-true: 7.0ms (3.8% of total)ival-assert: 4.0ms (2.2% of total)...in/eval/compile.rkt:70:19: 3.0ms (1.6% of total)| 1× | egg-herbie |
| 177× | fma-define |
| 104× | fmm-def |
| 46× | unsub-neg |
| 35× | distribute-lft-in |
| 34× | distribute-rgt-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 149 |
| 1 | 69 | 136 |
| 2 | 193 | 129 |
| 3 | 454 | 129 |
| 4 | 684 | 129 |
| 5 | 851 | 129 |
| 6 | 902 | 129 |
| 7 | 903 | 129 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (+.f64 y #s(literal 1 binary64))) |
(*.f64 x (+.f64 y #s(literal 1 binary64))) |
(*.f64 (neg.f64 x) (+.f64 y #s(literal 1 binary64))) |
(*.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (neg.f64 x) (+.f64 y #s(literal 1 binary64)))) |
(neg.f64 (*.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)))) |
(*.f64 y (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x (+.f64 y #s(literal 1 binary64))) |
(fma.f64 x y x) |
(*.f64 x (+.f64 y #s(literal 1 binary64))) |
(fma.f64 x y x) |
(*.f64 (neg.f64 x) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (neg.f64 x)) |
(neg.f64 (fma.f64 x y x)) |
(*.f64 x (-.f64 #s(literal -1 binary64) y)) |
(*.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(neg.f64 (*.f64 (neg.f64 x) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 x (+.f64 y #s(literal 1 binary64))) |
(fma.f64 x y x) |
(neg.f64 (*.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)))) |
(*.f64 x (neg.f64 (+.f64 #s(literal 1 binary64) (neg.f64 y)))) |
(*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(*.f64 y (+.f64 x #s(literal 1 binary64))) |
(fma.f64 x y y) |
(negabs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 y #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x (+.f64 y #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 75.0ms | 512× | 0 | valid |
Compiled 40 to 24 computations (40% saved)
ival-mult: 4.0ms (51% of total)ival-add: 3.0ms (38.3% of total)ival-true: 0.0ms (0% of total)...in/eval/compile.rkt:70:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 6 to 3 computations (50% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 x y x) |
| ▶ | 100.0% | (*.f64 x (+.f64 y #s(literal 1 binary64))) |
Compiled 13 to 8 computations (38.5% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 6272 | (fma.f64 x y x) |
| ✓ | cost-diff | -6272 | (*.f64 x (+.f64 y #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 y #s(literal 1 binary64)) |
| 10× | fma-define |
| 4× | associate-*r* |
| 4× | associate-*l* |
| 3× | *-rgt-identity |
| 3× | 1-exp |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 65 |
| 1 | 27 | 63 |
| 2 | 33 | 63 |
| 3 | 48 | 63 |
| 4 | 52 | 63 |
| 5 | 54 | 63 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (+.f64 y #s(literal 1 binary64))) |
x |
(+.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(fma.f64 x y x) |
x |
y |
| Outputs |
|---|
(*.f64 x (+.f64 y #s(literal 1 binary64))) |
(fma.f64 x y x) |
x |
(+.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(fma.f64 x y x) |
(*.f64 x (+.f64 y #s(literal 1 binary64))) |
x |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 x y x) |
| ✓ | accuracy | 100.0% | (+.f64 y #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 y #s(literal 1 binary64))) |
| 55.0ms | 256× | 0 | valid |
Compiled 19 to 8 computations (57.9% saved)
ival-add: 40.0ms (88.8% of total)ival-fma: 3.0ms (6.7% of total)ival-mult: 2.0ms (4.4% of total)ival-true: 0.0ms (0% of total)...in/eval/compile.rkt:70:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 y #s(literal 1 binary64))> |
#<alt (*.f64 x (+.f64 y #s(literal 1 binary64)))> |
#<alt (fma.f64 x y x)> |
| Outputs |
|---|
#<alt #s(literal 1 binary64)> |
#<alt (+.f64 #s(literal 1 binary64) y)> |
#<alt (+.f64 #s(literal 1 binary64) y)> |
#<alt (+.f64 #s(literal 1 binary64) y)> |
#<alt y> |
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))> |
#<alt y> |
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))> |
#<alt x> |
#<alt (+.f64 x (*.f64 x y))> |
#<alt (+.f64 x (*.f64 x y))> |
#<alt (+.f64 x (*.f64 x y))> |
#<alt (*.f64 x y)> |
#<alt (*.f64 y (+.f64 x (/.f64 x y)))> |
#<alt (*.f64 y (+.f64 x (/.f64 x y)))> |
#<alt (*.f64 y (+.f64 x (/.f64 x y)))> |
#<alt (*.f64 x y)> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))> |
#<alt x> |
#<alt (+.f64 x (*.f64 x y))> |
#<alt (+.f64 x (*.f64 x y))> |
#<alt (+.f64 x (*.f64 x y))> |
#<alt (*.f64 x y)> |
#<alt (*.f64 y (+.f64 x (/.f64 x y)))> |
#<alt (*.f64 y (+.f64 x (/.f64 x y)))> |
#<alt (*.f64 y (+.f64 x (/.f64 x y)))> |
#<alt (*.f64 x y)> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+ (* x y) x) |
| 1.0ms | y | @ | -inf | (* x (+ y 1)) |
| 0.0ms | x | @ | inf | (* x (+ y 1)) |
| 0.0ms | x | @ | 0 | (* x (+ y 1)) |
| 0.0ms | x | @ | 0 | (+ (* x y) x) |
| 1× | batch-egg-rewrite |
| 479× | log1p-expm1-u |
| 479× | expm1-log1p-u |
| 455× | add-exp-log |
| 414× | unpow-prod-down |
| 389× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 48 |
| 1 | 128 | 46 |
| 2 | 1629 | 46 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 y #s(literal 1 binary64)) |
(*.f64 x (+.f64 y #s(literal 1 binary64))) |
(fma.f64 x y x) |
| Outputs |
|---|
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (log.f64 (E.f64))) |
(*.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) y))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) y)) |
(pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) |
(pow.f64 (E.f64) (log1p.f64 y)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 y))) |
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 y))) (sqrt.f64 (log1p.f64 y))) |
(sqrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (+.f64 y #s(literal 1 binary64)))) |
(cbrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (+.f64 y #s(literal 1 binary64)))) |
(log1p.f64 (expm1.f64 (+.f64 y #s(literal 1 binary64)))) |
(exp.f64 (log1p.f64 y)) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 y)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 y)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 y)) #s(literal 2 binary64))) |
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64)) |
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+.f64 x (*.f64 y x)) |
(+.f64 (*.f64 y x) x) |
(+.f64 #s(literal 0 binary64) (fma.f64 y x x)) |
(+.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) x) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y x x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y x x))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y x x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y x x))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y x x)) #s(literal 1 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y x) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y x) x)) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (+.f64 y #s(literal -1 binary64))) |
(pow.f64 (fma.f64 y x x) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)) |
(pow.f64 (E.f64) (+.f64 (log1p.f64 y) (log.f64 x))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 y) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (log1p.f64 y) (log.f64 x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log1p.f64 y) (log.f64 x)))) (sqrt.f64 (+.f64 (log1p.f64 y) (log.f64 x)))) |
(sqrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (fma.f64 y x x))) |
(cbrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (fma.f64 y x x))) |
(log1p.f64 (expm1.f64 (fma.f64 y x x))) |
(exp.f64 (+.f64 (log1p.f64 y) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 y) (log.f64 x))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y x x))) #s(literal 2 binary64))) |
(fma.f64 y x x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 y x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y x) x) |
(fma.f64 x y x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 y x)) |
(fma.f64 (*.f64 y x) #s(literal 1 binary64) x) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y x)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y x)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (*.f64 y x)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) x) |
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y x)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 y x)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) x) |
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) x) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) x) |
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) x) |
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x) |
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) x) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x) |
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) x) |
(+.f64 x (*.f64 y x)) |
(+.f64 (*.f64 y x) x) |
(+.f64 #s(literal 0 binary64) (fma.f64 y x x)) |
(+.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) x) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y x x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y x x))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y x x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y x x))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y x x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 y x x)) |
(*.f64 (+.f64 y #s(literal 1 binary64)) x) |
(*.f64 x (+.f64 y #s(literal 1 binary64))) |
(*.f64 (fma.f64 y x x) #s(literal 1 binary64)) |
(*.f64 (fma.f64 y x x) (log.f64 (E.f64))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) x)) |
(*.f64 (cbrt.f64 (fma.f64 y x x)) (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x x))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) x)) |
(*.f64 (sqrt.f64 (fma.f64 y x x)) (sqrt.f64 (fma.f64 y x x))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x)) |
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (*.f64 x (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 y x x)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 y x x))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (+.f64 y #s(literal 1 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 y x x) (cbrt.f64 (fma.f64 y x x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 y x x)))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 y x x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y x) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y x) x)) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (+.f64 y #s(literal -1 binary64))) |
(pow.f64 (fma.f64 y x x) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)) |
(pow.f64 (E.f64) (+.f64 (log1p.f64 y) (log.f64 x))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 y) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (log1p.f64 y) (log.f64 x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log1p.f64 y) (log.f64 x)))) (sqrt.f64 (+.f64 (log1p.f64 y) (log.f64 x)))) |
(sqrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (fma.f64 y x x))) |
(cbrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (fma.f64 y x x))) |
(log1p.f64 (expm1.f64 (fma.f64 y x x))) |
(exp.f64 (+.f64 (log1p.f64 y) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 y) (log.f64 x))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y x x))) #s(literal 2 binary64))) |
| 1× | egg-herbie |
| 943× | prod-exp |
| 838× | fma-define |
| 476× | distribute-lft-in |
| 455× | distribute-rgt-in |
| 261× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 309 | 5009 |
| 1 | 665 | 4929 |
| 2 | 1802 | 4749 |
| 3 | 7441 | 4749 |
| 1× | node limit |
| Inputs |
|---|
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 #s(literal 1 binary64) y) |
y |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
y |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
x |
(+.f64 x (*.f64 x y)) |
(+.f64 x (*.f64 x y)) |
(+.f64 x (*.f64 x y)) |
(*.f64 x y) |
(*.f64 y (+.f64 x (/.f64 x y))) |
(*.f64 y (+.f64 x (/.f64 x y))) |
(*.f64 y (+.f64 x (/.f64 x y))) |
(*.f64 x y) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) |
x |
(+.f64 x (*.f64 x y)) |
(+.f64 x (*.f64 x y)) |
(+.f64 x (*.f64 x y)) |
(*.f64 x y) |
(*.f64 y (+.f64 x (/.f64 x y))) |
(*.f64 y (+.f64 x (/.f64 x y))) |
(*.f64 y (+.f64 x (/.f64 x y))) |
(*.f64 x y) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (log.f64 (E.f64))) |
(*.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) y))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) y)) |
(pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) |
(pow.f64 (E.f64) (log1p.f64 y)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 y))) |
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 y))) (sqrt.f64 (log1p.f64 y))) |
(sqrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (+.f64 y #s(literal 1 binary64)))) |
(cbrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (+.f64 y #s(literal 1 binary64)))) |
(log1p.f64 (expm1.f64 (+.f64 y #s(literal 1 binary64)))) |
(exp.f64 (log1p.f64 y)) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 y)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 y)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 y)) #s(literal 2 binary64))) |
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64)) |
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+.f64 x (*.f64 y x)) |
(+.f64 (*.f64 y x) x) |
(+.f64 #s(literal 0 binary64) (fma.f64 y x x)) |
(+.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) x) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y x x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y x x))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y x x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y x x))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y x x)) #s(literal 1 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y x) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y x) x)) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (+.f64 y #s(literal -1 binary64))) |
(pow.f64 (fma.f64 y x x) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)) |
(pow.f64 (E.f64) (+.f64 (log1p.f64 y) (log.f64 x))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 y) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (log1p.f64 y) (log.f64 x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log1p.f64 y) (log.f64 x)))) (sqrt.f64 (+.f64 (log1p.f64 y) (log.f64 x)))) |
(sqrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (fma.f64 y x x))) |
(cbrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (fma.f64 y x x))) |
(log1p.f64 (expm1.f64 (fma.f64 y x x))) |
(exp.f64 (+.f64 (log1p.f64 y) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 y) (log.f64 x))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y x x))) #s(literal 2 binary64))) |
(fma.f64 y x x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 y x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y x) x) |
(fma.f64 x y x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 y x)) |
(fma.f64 (*.f64 y x) #s(literal 1 binary64) x) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y x)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y x)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (*.f64 y x)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) x) |
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y x)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 y x)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) x) |
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) x) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) x) |
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) x) |
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x) |
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) x) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x) |
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) x) |
(+.f64 x (*.f64 y x)) |
(+.f64 (*.f64 y x) x) |
(+.f64 #s(literal 0 binary64) (fma.f64 y x x)) |
(+.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) x) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y x x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y x x))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y x x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y x x))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y x x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 y x x)) |
(*.f64 (+.f64 y #s(literal 1 binary64)) x) |
(*.f64 x (+.f64 y #s(literal 1 binary64))) |
(*.f64 (fma.f64 y x x) #s(literal 1 binary64)) |
(*.f64 (fma.f64 y x x) (log.f64 (E.f64))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) x)) |
(*.f64 (cbrt.f64 (fma.f64 y x x)) (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x x))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) x)) |
(*.f64 (sqrt.f64 (fma.f64 y x x)) (sqrt.f64 (fma.f64 y x x))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x)) |
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (*.f64 x (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 y x x)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 y x x))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (+.f64 y #s(literal 1 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 y x x) (cbrt.f64 (fma.f64 y x x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 y x x)))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 y x x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y x) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y x) x)) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (+.f64 y #s(literal -1 binary64))) |
(pow.f64 (fma.f64 y x x) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)) |
(pow.f64 (E.f64) (+.f64 (log1p.f64 y) (log.f64 x))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 y) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (log1p.f64 y) (log.f64 x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log1p.f64 y) (log.f64 x)))) (sqrt.f64 (+.f64 (log1p.f64 y) (log.f64 x)))) |
(sqrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (fma.f64 y x x))) |
(cbrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (fma.f64 y x x))) |
(log1p.f64 (expm1.f64 (fma.f64 y x x))) |
(exp.f64 (+.f64 (log1p.f64 y) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 y) (log.f64 x))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y x x))) #s(literal 2 binary64))) |
| Outputs |
|---|
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 #s(literal 1 binary64) y) |
y |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 #s(literal 1 binary64) y) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 #s(literal 1 binary64) y) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 #s(literal 1 binary64) y) |
y |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 #s(literal 1 binary64) y) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 #s(literal 1 binary64) y) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 #s(literal 1 binary64) y) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(fma.f64 y x x) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(fma.f64 y x x) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(fma.f64 y x x) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(fma.f64 y x x) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(fma.f64 y x x) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(fma.f64 y x x) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(fma.f64 y x x) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(fma.f64 y x x) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(fma.f64 y x x) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(fma.f64 y x x) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(fma.f64 y x x) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(fma.f64 y x x) |
x |
(+.f64 x (*.f64 x y)) |
(fma.f64 y x x) |
(+.f64 x (*.f64 x y)) |
(fma.f64 y x x) |
(+.f64 x (*.f64 x y)) |
(fma.f64 y x x) |
(*.f64 x y) |
(*.f64 y x) |
(*.f64 y (+.f64 x (/.f64 x y))) |
(fma.f64 y x x) |
(*.f64 y (+.f64 x (/.f64 x y))) |
(fma.f64 y x x) |
(*.f64 y (+.f64 x (/.f64 x y))) |
(fma.f64 y x x) |
(*.f64 x y) |
(*.f64 y x) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))) |
(fma.f64 y x x) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))) |
(fma.f64 y x x) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))) |
(fma.f64 y x x) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(fma.f64 y x x) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(fma.f64 y x x) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(fma.f64 y x x) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(fma.f64 y x x) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(fma.f64 y x x) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(fma.f64 y x x) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(fma.f64 y x x) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(fma.f64 y x x) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) |
(fma.f64 y x x) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) |
(fma.f64 y x x) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) |
(fma.f64 y x x) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) |
(fma.f64 y x x) |
x |
(+.f64 x (*.f64 x y)) |
(fma.f64 y x x) |
(+.f64 x (*.f64 x y)) |
(fma.f64 y x x) |
(+.f64 x (*.f64 x y)) |
(fma.f64 y x x) |
(*.f64 x y) |
(*.f64 y x) |
(*.f64 y (+.f64 x (/.f64 x y))) |
(fma.f64 y x x) |
(*.f64 y (+.f64 x (/.f64 x y))) |
(fma.f64 y x x) |
(*.f64 y (+.f64 x (/.f64 x y))) |
(fma.f64 y x x) |
(*.f64 x y) |
(*.f64 y x) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))) |
(fma.f64 y x x) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))) |
(fma.f64 y x x) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))) |
(fma.f64 y x x) |
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) y) |
(*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (log.f64 (E.f64))) |
(+.f64 #s(literal 1 binary64) y) |
(*.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) |
(+.f64 #s(literal 1 binary64) y) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) y) |
(*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) y) |
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 y #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) y) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) y) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64))) |
(+.f64 #s(literal 1 binary64) y) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (cbrt.f64 (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 4 binary64)) #s(literal 2 binary64)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 8 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
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(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 y x x)) |
(fma.f64 y x x) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 y x x))) |
(fma.f64 y x x) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 3 binary64))) |
(fma.f64 y x x) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64))))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) (cbrt.f64 (*.f64 x (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (+.f64 y #s(literal 1 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 y x x) (cbrt.f64 (fma.f64 y x x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 y x x)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y x x))) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 y x x) (cbrt.f64 (fma.f64 y x x))) #s(literal 2 binary64)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y x x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 4 binary64)) #s(literal 2 binary64)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y x x))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 8 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 y x x)))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 y x x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y x) x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 y x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y x) x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(/.f64 (fma.f64 x (pow.f64 y #s(literal 3 binary64)) x) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
(*.f64 x (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(/.f64 (fma.f64 x (pow.f64 y #s(literal 3 binary64)) x) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 x (+.f64 y #s(literal -1 binary64)))) |
(*.f64 x (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) |
(pow.f64 (fma.f64 y x x) #s(literal 1 binary64)) |
(fma.f64 y x x) |
(pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 3 binary64)) |
(fma.f64 y x x) |
(pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 y x x) |
(pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(fma.f64 y x x) |
(pow.f64 (sqrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)) |
(fma.f64 y x x) |
(pow.f64 (E.f64) (+.f64 (log1p.f64 y) (log.f64 x))) |
(fma.f64 y x x) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 y) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (log1p.f64 y) (log.f64 x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log1p.f64 y) (log.f64 x)))) (sqrt.f64 (+.f64 (log1p.f64 y) (log.f64 x)))) |
(sqrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) |
(fma.f64 y x x) |
(log.f64 (exp.f64 (fma.f64 y x x))) |
(fma.f64 y x x) |
(cbrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64))) |
(fma.f64 y x x) |
(expm1.f64 (log1p.f64 (fma.f64 y x x))) |
(fma.f64 y x x) |
(log1p.f64 (expm1.f64 (fma.f64 y x x))) |
(fma.f64 y x x) |
(exp.f64 (+.f64 (log1p.f64 y) (log.f64 x))) |
(fma.f64 y x x) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 3 binary64))) |
(fma.f64 y x x) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 y) (log.f64 x))) #s(literal 1/3 binary64))) |
(fma.f64 y x x) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y x x))) #s(literal 2 binary64))) |
(fma.f64 y x x) |
Compiled 1732 to 430 computations (75.2% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 158 | 3 | 161 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 0 | 0 |
| Total | 159 | 4 | 163 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 (*.f64 y x) x) |
| ▶ | 47.1% | (*.f64 y x) |
| ✓ | 100.0% | (*.f64 x (+.f64 y #s(literal 1 binary64))) |
| ▶ | 54.0% | x |
Compiled 22 to 14 computations (36.4% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -6272 | (+.f64 (*.f64 y x) x) |
| ✓ | cost-diff | 0 | (*.f64 y x) |
| ✓ | cost-diff | 0 | (*.f64 y x) |
| 14× | fma-define |
| 4× | associate-*r* |
| 4× | associate-*l* |
| 3× | *-rgt-identity |
| 3× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 64 |
| 1 | 16 | 64 |
| 2 | 25 | 64 |
| 3 | 31 | 64 |
| 4 | 37 | 64 |
| 5 | 50 | 64 |
| 6 | 54 | 64 |
| 7 | 56 | 64 |
| 1× | saturated |
| Inputs |
|---|
x |
(*.f64 y x) |
y |
x |
(+.f64 (*.f64 y x) x) |
(*.f64 y x) |
y |
x |
| Outputs |
|---|
x |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 y x) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 y x) x) |
| ✓ | accuracy | 100.0% | (*.f64 y x) |
| 15.0ms | 256× | 0 | valid |
Compiled 18 to 6 computations (66.7% saved)
ival-mult: 3.0ms (62.3% of total)ival-add: 1.0ms (20.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 y x)> |
#<alt (+.f64 (*.f64 y x) x)> |
| Outputs |
|---|
#<alt (*.f64 x y)> |
#<alt (*.f64 x y)> |
#<alt (*.f64 x y)> |
#<alt (*.f64 x y)> |
#<alt (*.f64 x y)> |
#<alt (*.f64 x y)> |
#<alt (*.f64 x y)> |
#<alt (*.f64 x y)> |
#<alt (*.f64 x y)> |
#<alt (*.f64 x y)> |
#<alt (*.f64 x y)> |
#<alt (*.f64 x y)> |
#<alt (*.f64 x y)> |
#<alt (*.f64 x y)> |
#<alt (*.f64 x y)> |
#<alt (*.f64 x y)> |
#<alt (*.f64 x y)> |
#<alt (*.f64 x y)> |
#<alt (*.f64 x y)> |
#<alt (*.f64 x y)> |
#<alt (*.f64 x y)> |
#<alt (*.f64 x y)> |
#<alt (*.f64 x y)> |
#<alt (*.f64 x y)> |
#<alt x> |
#<alt (+.f64 x (*.f64 x y))> |
#<alt (+.f64 x (*.f64 x y))> |
#<alt (+.f64 x (*.f64 x y))> |
#<alt (*.f64 x y)> |
#<alt (*.f64 y (+.f64 x (/.f64 x y)))> |
#<alt (*.f64 y (+.f64 x (/.f64 x y)))> |
#<alt (*.f64 y (+.f64 x (/.f64 x y)))> |
#<alt (*.f64 x y)> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (+ (* y x) x) |
| 0.0ms | y | @ | 0 | (* y x) |
| 0.0ms | y | @ | inf | (* y x) |
| 0.0ms | y | @ | -inf | (* y x) |
| 0.0ms | y | @ | -inf | (+ (* y x) x) |
| 1× | batch-egg-rewrite |
| 791× | prod-diff |
| 494× | log1p-expm1-u |
| 494× | expm1-log1p-u |
| 469× | unpow-prod-down |
| 318× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 31 |
| 1 | 100 | 31 |
| 2 | 1379 | 31 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y x) |
(+.f64 (*.f64 y x) x) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (*.f64 y x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 y x) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 y) x)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))) |
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 y x))) |
(log1p.f64 (expm1.f64 (*.f64 y x))) |
(exp.f64 (log.f64 (*.f64 y x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y x))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y x))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x x))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64))))) |
(*.f64 x (+.f64 y #s(literal 1 binary64))) |
(*.f64 (fma.f64 y x x) #s(literal 1 binary64)) |
(*.f64 (fma.f64 y x x) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 y x x)) |
(*.f64 (cbrt.f64 (fma.f64 y x x)) (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x x))) |
(*.f64 (sqrt.f64 (fma.f64 y x x)) (sqrt.f64 (fma.f64 y x x))) |
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) x) |
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x)) |
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 y x x)) |
(*.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 y x x))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 y x x) (cbrt.f64 (fma.f64 y x x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 y x x)))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 y x x)))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (+.f64 y #s(literal 1 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 x (*.f64 y x))) |
(pow.f64 (fma.f64 y x x) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(sqrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (fma.f64 y x x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x x)))) |
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 y) x))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))) |
(log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (+.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (exp.f64 x))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (+.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(cbrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (fma.f64 y x x))) |
(log1p.f64 (expm1.f64 (fma.f64 y x x))) |
(exp.f64 (+.f64 (log1p.f64 y) (log.f64 x))) |
(exp.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 y) (log.f64 x))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y x x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 y x)) |
(fma.f64 (*.f64 y x) #s(literal 1 binary64) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 y x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y x) x) |
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) x) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) x) |
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) x) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y x)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y x)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) x) |
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) x) |
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y x)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) x) |
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x) |
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) x) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x) |
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) x) |
| 1× | egg-herbie |
| 993× | prod-exp |
| 629× | times-frac |
| 493× | fma-define |
| 282× | distribute-lft-in |
| 264× | distribute-rgt-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 249 | 3464 |
| 1 | 547 | 3393 |
| 2 | 1416 | 3285 |
| 3 | 6483 | 3285 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
x |
(+.f64 x (*.f64 x y)) |
(+.f64 x (*.f64 x y)) |
(+.f64 x (*.f64 x y)) |
(*.f64 x y) |
(*.f64 y (+.f64 x (/.f64 x y))) |
(*.f64 y (+.f64 x (/.f64 x y))) |
(*.f64 y (+.f64 x (/.f64 x y))) |
(*.f64 x y) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) |
(+.f64 #s(literal 0 binary64) (*.f64 y x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 y x) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 y) x)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))) |
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 y x))) |
(log1p.f64 (expm1.f64 (*.f64 y x))) |
(exp.f64 (log.f64 (*.f64 y x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y x))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y x))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x x))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64))))) |
(*.f64 x (+.f64 y #s(literal 1 binary64))) |
(*.f64 (fma.f64 y x x) #s(literal 1 binary64)) |
(*.f64 (fma.f64 y x x) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 y x x)) |
(*.f64 (cbrt.f64 (fma.f64 y x x)) (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x x))) |
(*.f64 (sqrt.f64 (fma.f64 y x x)) (sqrt.f64 (fma.f64 y x x))) |
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) x) |
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x)) |
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 y x x)) |
(*.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 y x x))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 y x x) (cbrt.f64 (fma.f64 y x x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 y x x)))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 y x x)))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (+.f64 y #s(literal 1 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 x (*.f64 y x))) |
(pow.f64 (fma.f64 y x x) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(sqrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (fma.f64 y x x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x x)))) |
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 y) x))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))) |
(log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (+.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (exp.f64 x))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (+.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(cbrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (fma.f64 y x x))) |
(log1p.f64 (expm1.f64 (fma.f64 y x x))) |
(exp.f64 (+.f64 (log1p.f64 y) (log.f64 x))) |
(exp.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y x x))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 y) (log.f64 x))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y x x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 y x)) |
(fma.f64 (*.f64 y x) #s(literal 1 binary64) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 y x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y x) x) |
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) x) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) x) |
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) x) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y x)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y x)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) x) |
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) x) |
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y x)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) x) |
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x) |
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) x) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x) |
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) x) |
| Outputs |
|---|
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
x |
(+.f64 x (*.f64 x y)) |
(fma.f64 x y x) |
(+.f64 x (*.f64 x y)) |
(fma.f64 x y x) |
(+.f64 x (*.f64 x y)) |
(fma.f64 x y x) |
(*.f64 x y) |
(*.f64 y (+.f64 x (/.f64 x y))) |
(*.f64 y (+.f64 x (/.f64 x y))) |
(*.f64 y (+.f64 x (/.f64 x y))) |
(*.f64 x y) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))) |
(*.f64 y (+.f64 x (/.f64 x y))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))) |
(*.f64 y (+.f64 x (/.f64 x y))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))) |
(*.f64 y (+.f64 x (/.f64 x y))) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(fma.f64 x y x) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(fma.f64 x y x) |
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(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (pow.f64 (fma.f64 x y x) #s(literal 2 binary64))))) |
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(exp.f64 (+.f64 (log1p.f64 y) (log.f64 x))) |
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(exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
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(fma.f64 x y x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 y x)) |
(fma.f64 x y x) |
(fma.f64 (*.f64 y x) #s(literal 1 binary64) x) |
(fma.f64 x y x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 y x)) |
(fma.f64 x y x) |
(fma.f64 #s(literal 1 binary64) (*.f64 y x) x) |
(fma.f64 x y x) |
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) x) |
(fma.f64 x y x) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) x) |
(fma.f64 x y x) |
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) x) |
(fma.f64 x y x) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y x)) |
(fma.f64 x y x) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y x)) |
(fma.f64 x y x) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) x) |
(fma.f64 x y x) |
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) x) |
(fma.f64 x y x) |
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) x) |
(fma.f64 x y x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y x)) |
(fma.f64 x y x) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) x) |
(fma.f64 x y x) |
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x) |
(fma.f64 x y x) |
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) x) |
(fma.f64 x y x) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x) |
(fma.f64 x y x) |
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) x) |
(fma.f64 x y x) |
Compiled 1475 to 323 computations (78.1% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 142 | 0 | 142 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 1 | 1 |
| Total | 142 | 4 | 146 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 (*.f64 y x) x) |
| ✓ | 47.1% | (*.f64 y x) |
| ✓ | 100.0% | (*.f64 x (+.f64 y #s(literal 1 binary64))) |
| ✓ | 54.0% | x |
Compiled 42 to 22 computations (47.6% saved)
| Inputs |
|---|
x |
(*.f64 y x) |
(*.f64 x (+.f64 y #s(literal 1 binary64))) |
(+.f64 (*.f64 y x) x) |
(fma.f64 x y x) |
| Outputs |
|---|
(fma.f64 x y x) |
4 calls:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (*.f64 x (+.f64 y #s(literal 1 binary64))) |
| 2.0ms | (+.f64 y #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (*.f64 x (+.f64 y #s(literal 1 binary64))) |
| 100.0% | 1 | (+.f64 y #s(literal 1 binary64)) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
(*.f64 y x) |
(*.f64 x (+.f64 y #s(literal 1 binary64))) |
(+.f64 (*.f64 y x) x) |
| Outputs |
|---|
(*.f64 x (+.f64 y #s(literal 1 binary64))) |
4 calls:
| 5.0ms | x |
| 2.0ms | y |
| 2.0ms | (*.f64 x (+.f64 y #s(literal 1 binary64))) |
| 2.0ms | (+.f64 y #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (*.f64 x (+.f64 y #s(literal 1 binary64))) |
| 100.0% | 1 | (+.f64 y #s(literal 1 binary64)) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
(*.f64 y x) |
| Outputs |
|---|
(*.f64 y x) |
x |
(*.f64 y x) |
2 calls:
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.4% | 4 | x |
| 96.9% | 3 | y |
Compiled 6 to 4 computations (33.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
x |
| Outputs |
|---|
x |
2 calls:
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.0% | 1 | x |
| 54.0% | 1 | y |
Compiled 6 to 4 computations (33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 7.425310482648628e-9 | 3321.123313952521 |
| 8.0ms | -7.709967825256664 | -0.18296641932178082 |
| 16.0ms | 272× | 0 | valid |
Compiled 180 to 129 computations (28.3% saved)
ival-mult: 2.0ms (50.4% of total)ival-add: 1.0ms (25.2% of total)ival-true: 0.0ms (0% of total)...in/eval/compile.rkt:70:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 3× | 1-exp |
| 2× | *-commutative |
| 2× | if-if-or-not |
| 1× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 89 |
| 1 | 35 | 89 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x y x) |
(*.f64 x (+.f64 y #s(literal 1 binary64))) |
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 1 binary64)) x (*.f64 y x))) |
x |
| Outputs |
|---|
(fma.f64 x y x) |
(*.f64 x (+.f64 y #s(literal 1 binary64))) |
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 1 binary64)) x (*.f64 y x))) |
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) (*.f64 x y) x) |
x |
| 943× | prod-exp |
| 838× | fma-define |
| 476× | distribute-lft-in |
| 455× | distribute-rgt-in |
| 261× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 149 |
| 1 | 69 | 136 |
| 2 | 193 | 129 |
| 3 | 454 | 129 |
| 4 | 684 | 129 |
| 5 | 851 | 129 |
| 6 | 902 | 129 |
| 7 | 903 | 129 |
| 0 | 309 | 5009 |
| 1 | 665 | 4929 |
| 2 | 1802 | 4749 |
| 3 | 7441 | 4749 |
| 1× | done |
| 1× | node limit |
| 1× | saturated |
Compiled 57 to 27 computations (52.6% saved)
(negabs x)
Compiled 126 to 68 computations (46% saved)
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