
Time bar (total: 2.3s)
| 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 9 to 6 computations (33.3% saved)
ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 372.0ms | 8256× | 0 | valid |
ival-mult: 88.0ms (58.6% of total)ival-add: 53.0ms (35.3% of total)const: 7.0ms (4.7% of total)backward-pass: 2.0ms (1.3% of total)| 1× | egg-herbie |
| 307× | fma-define |
| 258× | fma-neg |
| 99× | distribute-lft-in |
| 92× | distribute-rgt-in |
| 87× | unsub-neg |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 254 |
| 1 | 65 | 246 |
| 2 | 164 | 246 |
| 3 | 589 | 246 |
| 4 | 1148 | 246 |
| 5 | 1621 | 246 |
| 6 | 1721 | 246 |
| 7 | 1738 | 246 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (+.f64 x y) z) |
(*.f64 (+.f64 x y) z) |
(*.f64 (+.f64 (neg.f64 x) y) z) |
(*.f64 (+.f64 x (neg.f64 y)) z) |
(*.f64 (+.f64 x y) (neg.f64 z)) |
(neg.f64 (*.f64 (+.f64 (neg.f64 x) y) z)) |
(neg.f64 (*.f64 (+.f64 x (neg.f64 y)) z)) |
(neg.f64 (*.f64 (+.f64 x y) (neg.f64 z))) |
(*.f64 (+.f64 y x) z) |
(*.f64 (+.f64 z y) x) |
(*.f64 (+.f64 x z) y) |
| Outputs |
|---|
(*.f64 (+.f64 x y) z) |
(*.f64 z (+.f64 x y)) |
(*.f64 (+.f64 x y) z) |
(*.f64 z (+.f64 x y)) |
(*.f64 (+.f64 (neg.f64 x) y) z) |
(*.f64 z (+.f64 y (neg.f64 x))) |
(*.f64 z (-.f64 y x)) |
(*.f64 (+.f64 x (neg.f64 y)) z) |
(*.f64 z (-.f64 x y)) |
(*.f64 (+.f64 x y) (neg.f64 z)) |
(*.f64 z (-.f64 (neg.f64 y) x)) |
(neg.f64 (*.f64 (+.f64 (neg.f64 x) y) z)) |
(*.f64 z (-.f64 x y)) |
(neg.f64 (*.f64 (+.f64 x (neg.f64 y)) z)) |
(*.f64 z (+.f64 y (neg.f64 x))) |
(*.f64 z (-.f64 y x)) |
(neg.f64 (*.f64 (+.f64 x y) (neg.f64 z))) |
(*.f64 (+.f64 x y) z) |
(*.f64 z (+.f64 x y)) |
(*.f64 (+.f64 y x) z) |
(*.f64 (+.f64 x y) z) |
(*.f64 z (+.f64 x y)) |
(*.f64 (+.f64 z y) x) |
(*.f64 x (+.f64 y z)) |
(*.f64 (+.f64 x z) y) |
(*.f64 y (+.f64 x z)) |
(negabs z)
(sort x y)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 x y) z) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | y |
| 25.0ms | 512× | 0 | valid |
Compiled 38 to 17 computations (55.3% saved)
ival-mult: 4.0ms (53.9% of total)ival-add: 3.0ms (40.4% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)Compiled 8 to 5 computations (37.5% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 (+.f64 x y) z) |
Compiled 8 to 5 computations (37.5% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 x y) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 x y) z) |
| 4× | fma-define |
| 3× | *-commutative |
| 2× | distribute-rgt-in |
| 2× | distribute-lft-in |
| 1× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 47 |
| 1 | 13 | 47 |
| 2 | 21 | 47 |
| 3 | 28 | 47 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (+.f64 x y) z) |
(+.f64 x y) |
x |
y |
z |
| Outputs |
|---|
(*.f64 (+.f64 x y) z) |
(+.f64 x y) |
x |
y |
z |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x y) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 x y) z) |
| 13.0ms | 256× | 0 | valid |
Compiled 15 to 6 computations (60% saved)
ival-add: 2.0ms (52.2% of total)ival-mult: 2.0ms (52.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (+.f64 x y) z)> |
#<alt (+.f64 x y)> |
| Outputs |
|---|
#<alt (*.f64 y z)> |
#<alt (+.f64 (*.f64 x z) (*.f64 y z))> |
#<alt (+.f64 (*.f64 x z) (*.f64 y z))> |
#<alt (+.f64 (*.f64 x z) (*.f64 y z))> |
#<alt (*.f64 x z)> |
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))> |
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))> |
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))> |
#<alt (*.f64 x z)> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))> |
#<alt (*.f64 x z)> |
#<alt (+.f64 (*.f64 x z) (*.f64 y z))> |
#<alt (+.f64 (*.f64 x z) (*.f64 y z))> |
#<alt (+.f64 (*.f64 x z) (*.f64 y z))> |
#<alt (*.f64 y z)> |
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))> |
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))> |
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))> |
#<alt (*.f64 y z)> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))> |
#<alt (*.f64 z (+.f64 x y))> |
#<alt (*.f64 z (+.f64 x y))> |
#<alt (*.f64 z (+.f64 x y))> |
#<alt (*.f64 z (+.f64 x y))> |
#<alt (*.f64 z (+.f64 x y))> |
#<alt (*.f64 z (+.f64 x y))> |
#<alt (*.f64 z (+.f64 x y))> |
#<alt (*.f64 z (+.f64 x y))> |
#<alt (*.f64 z (+.f64 x y))> |
#<alt (*.f64 z (+.f64 x y))> |
#<alt (*.f64 z (+.f64 x y))> |
#<alt (*.f64 z (+.f64 x y))> |
#<alt y> |
#<alt x> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))> |
#<alt x> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))> |
#<alt x> |
#<alt y> |
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))> |
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))> |
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))> |
#<alt y> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | z | @ | 0 | (* (+ x y) z) |
| 1.0ms | x | @ | inf | (* (+ x y) z) |
| 0.0ms | x | @ | -inf | (* (+ x y) z) |
| 0.0ms | z | @ | inf | (* (+ x y) z) |
| 0.0ms | y | @ | -inf | (* (+ x y) z) |
| 1× | batch-egg-rewrite |
| 568× | log1p-expm1-u |
| 568× | expm1-log1p-u |
| 482× | unpow-prod-down |
| 455× | prod-diff |
| 278× | log-prod |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 35 |
| 1 | 116 | 35 |
| 2 | 1522 | 35 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 x y) z) |
(+.f64 x y) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) z)) |
(+.f64 (*.f64 z x) (*.f64 z y)) |
(+.f64 (*.f64 z y) (*.f64 z x)) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(+.f64 (*.f64 y z) (*.f64 x z)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z)))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x y) z))) #s(literal 1 binary64)) |
(/.f64 (*.f64 z (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z) (-.f64 x y)) |
(pow.f64 (*.f64 (+.f64 x y) z) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 (+.f64 x y)) z)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 x y) z)))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) z))) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) z))) |
(exp.f64 (log.f64 (*.f64 (+.f64 x y) z))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 x y) z))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 x z (*.f64 y z)) |
(fma.f64 y z (*.f64 x z)) |
(fma.f64 z x (*.f64 z y)) |
(fma.f64 z y (*.f64 z x)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y))) |
(*.f64 (+.f64 x y) #s(literal 1 binary64)) |
(*.f64 (+.f64 x y) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (+.f64 x y)) |
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y))) |
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x y)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 x y))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x y) (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x y)))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x)) |
(pow.f64 (+.f64 x y) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (+.f64 x y))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y)))) |
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 y)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 y))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y)))) |
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 x))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (+.f64 x y))) |
(log1p.f64 (expm1.f64 (+.f64 x y))) |
(exp.f64 (log.f64 (+.f64 x y))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1 binary64) y) |
(fma.f64 y #s(literal 1 binary64) x) |
(fma.f64 #s(literal 1 binary64) x y) |
(fma.f64 #s(literal 1 binary64) y x) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y) |
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x) |
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x) |
| 1× | egg-herbie |
| 577× | fma-neg |
| 467× | distribute-lft-neg-in |
| 393× | distribute-rgt-neg-in |
| 335× | fma-define |
| 318× | unswap-sqr |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 255 | 4089 |
| 1 | 554 | 4035 |
| 2 | 1482 | 3966 |
| 3 | 5020 | 3084 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y z) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(*.f64 x z) |
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x))) |
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x))) |
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x))) |
(*.f64 x z) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))) |
(*.f64 x z) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(*.f64 y z) |
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y))) |
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y))) |
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y))) |
(*.f64 y z) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))) |
(*.f64 z (+.f64 x y)) |
(*.f64 z (+.f64 x y)) |
(*.f64 z (+.f64 x y)) |
(*.f64 z (+.f64 x y)) |
(*.f64 z (+.f64 x y)) |
(*.f64 z (+.f64 x y)) |
(*.f64 z (+.f64 x y)) |
(*.f64 z (+.f64 x y)) |
(*.f64 z (+.f64 x y)) |
(*.f64 z (+.f64 x y)) |
(*.f64 z (+.f64 x y)) |
(*.f64 z (+.f64 x y)) |
y |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
x |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))) |
x |
y |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
y |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))) |
(+.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) z)) |
(+.f64 (*.f64 z x) (*.f64 z y)) |
(+.f64 (*.f64 z y) (*.f64 z x)) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(+.f64 (*.f64 y z) (*.f64 x z)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z)))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x y) z))) #s(literal 1 binary64)) |
(/.f64 (*.f64 z (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z) (-.f64 x y)) |
(pow.f64 (*.f64 (+.f64 x y) z) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 (+.f64 x y)) z)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 x y) z)))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) z))) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) z))) |
(exp.f64 (log.f64 (*.f64 (+.f64 x y) z))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 x y) z))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 x y) z))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 x z (*.f64 y z)) |
(fma.f64 y z (*.f64 x z)) |
(fma.f64 z x (*.f64 z y)) |
(fma.f64 z y (*.f64 z x)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y))) |
(*.f64 (+.f64 x y) #s(literal 1 binary64)) |
(*.f64 (+.f64 x y) (log.f64 (exp.f64 #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (+.f64 x y)) |
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y))) |
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x y)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 x y))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x y) (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x y)))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x)) |
(pow.f64 (+.f64 x y) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (+.f64 x y))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y)))) |
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 y)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 y))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y)))) |
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 x))) |
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (+.f64 x y))) |
(log1p.f64 (expm1.f64 (+.f64 x y))) |
(exp.f64 (log.f64 (+.f64 x y))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1 binary64) y) |
(fma.f64 y #s(literal 1 binary64) x) |
(fma.f64 #s(literal 1 binary64) x y) |
(fma.f64 #s(literal 1 binary64) y x) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y) |
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x) |
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x) |
| Outputs |
|---|
(*.f64 y z) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(*.f64 z (+.f64 y x)) |
(*.f64 x z) |
(*.f64 z x) |
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x))) |
(*.f64 z (+.f64 y x)) |
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x))) |
(*.f64 z (+.f64 y x)) |
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x))) |
(*.f64 z (+.f64 y x)) |
(*.f64 x z) |
(*.f64 z x) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))) |
(*.f64 z (+.f64 y x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))) |
(*.f64 z (+.f64 y x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))) |
(*.f64 z (+.f64 y x)) |
(*.f64 x z) |
(*.f64 z x) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(*.f64 z (+.f64 y x)) |
(*.f64 y z) |
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y))) |
(*.f64 z (+.f64 y x)) |
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y))) |
(*.f64 z (+.f64 y x)) |
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y))) |
(*.f64 z (+.f64 y x)) |
(*.f64 y z) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))) |
(*.f64 z (+.f64 y x)) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))) |
(*.f64 z (+.f64 y x)) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))) |
(*.f64 z (+.f64 y x)) |
(*.f64 z (+.f64 x y)) |
(*.f64 z (+.f64 y x)) |
(*.f64 z (+.f64 x y)) |
(*.f64 z (+.f64 y x)) |
(*.f64 z (+.f64 x y)) |
(*.f64 z (+.f64 y x)) |
(*.f64 z (+.f64 x y)) |
(*.f64 z (+.f64 y x)) |
(*.f64 z (+.f64 x y)) |
(*.f64 z (+.f64 y x)) |
(*.f64 z (+.f64 x y)) |
(*.f64 z (+.f64 y x)) |
(*.f64 z (+.f64 x y)) |
(*.f64 z (+.f64 y x)) |
(*.f64 z (+.f64 x y)) |
(*.f64 z (+.f64 y x)) |
(*.f64 z (+.f64 x y)) |
(*.f64 z (+.f64 y x)) |
(*.f64 z (+.f64 x y)) |
(*.f64 z (+.f64 y x)) |
(*.f64 z (+.f64 x y)) |
(*.f64 z (+.f64 y x)) |
(*.f64 z (+.f64 x y)) |
(*.f64 z (+.f64 y x)) |
y |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(fma.f64 x (/.f64 y x) x) |
(+.f64 y x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(fma.f64 x (/.f64 y x) x) |
(+.f64 y x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(fma.f64 x (/.f64 y x) x) |
(+.f64 y x) |
x |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(fma.f64 x (/.f64 y x) x) |
(+.f64 y x) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(fma.f64 x (/.f64 y x) x) |
(+.f64 y x) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(fma.f64 x (/.f64 y x) x) |
(+.f64 y x) |
x |
y |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(fma.f64 x (/.f64 y x) x) |
(+.f64 y x) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(fma.f64 x (/.f64 y x) x) |
(+.f64 y x) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(fma.f64 x (/.f64 y x) x) |
(+.f64 y x) |
y |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(fma.f64 x (/.f64 y x) x) |
(+.f64 y x) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(fma.f64 x (/.f64 y x) x) |
(+.f64 y x) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(fma.f64 x (/.f64 y x) x) |
(+.f64 y x) |
(+.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) z)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 z y)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 z y) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 x z)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z)))) |
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(fma.f64 x (/.f64 y x) x) |
(+.f64 y x) |
(fma.f64 y #s(literal 1 binary64) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(fma.f64 x (/.f64 y x) x) |
(+.f64 y x) |
(fma.f64 #s(literal 1 binary64) x y) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(fma.f64 x (/.f64 y x) x) |
(+.f64 y x) |
(fma.f64 #s(literal 1 binary64) y x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(fma.f64 x (/.f64 y x) x) |
(+.f64 y x) |
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(fma.f64 x (/.f64 y x) x) |
(+.f64 y x) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(fma.f64 x (/.f64 y x) x) |
(+.f64 y x) |
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(fma.f64 x (/.f64 y x) x) |
(+.f64 y x) |
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(fma.f64 x (/.f64 y x) x) |
(+.f64 y x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(fma.f64 x (/.f64 y x) x) |
(+.f64 y x) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(fma.f64 x (/.f64 y x) x) |
(+.f64 y x) |
Compiled 1351 to 373 computations (72.4% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 119 | 4 | 123 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 119 | 5 | 124 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.0% | (+.f64 (*.f64 z y) (*.f64 z x)) |
| ✓ | 100.0% | (*.f64 (+.f64 x y) z) |
| ▶ | 94.8% | (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z) |
| ▶ | 53.8% | (*.f64 z x) |
| ▶ | 55.4% | (*.f64 y z) |
Compiled 42 to 27 computations (35.7% saved)
| 1× | egg-herbie |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 z x) |
| ✓ | cost-diff | 0 | (*.f64 z y) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 z y) (*.f64 z x)) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 x y)) |
| ✓ | cost-diff | 256 | (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
| ✓ | cost-diff | 256 | (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z) |
| ✓ | cost-diff | 0 | (*.f64 z x) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| 911× | cube-prod |
| 800× | fma-define |
| 634× | associate-/l/ |
| 536× | cube-div |
| 365× | swap-sqr |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 227 |
| 1 | 41 | 227 |
| 2 | 72 | 224 |
| 3 | 151 | 182 |
| 4 | 273 | 182 |
| 5 | 396 | 182 |
| 6 | 771 | 182 |
| 7 | 1870 | 182 |
| 8 | 2664 | 182 |
| 9 | 3425 | 182 |
| 10 | 4267 | 182 |
| 11 | 4658 | 182 |
| 12 | 5103 | 182 |
| 13 | 6485 | 182 |
| 14 | 7258 | 182 |
| 15 | 7813 | 182 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y z) |
y |
z |
(*.f64 z x) |
z |
x |
(*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
y |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
#s(literal 1 binary64) |
(/.f64 x y) |
x |
z |
(+.f64 (*.f64 z y) (*.f64 z x)) |
(*.f64 z y) |
z |
y |
(*.f64 z x) |
x |
| Outputs |
|---|
(*.f64 y z) |
y |
z |
(*.f64 z x) |
z |
x |
(*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z) |
(*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y z)) |
(*.f64 z (fma.f64 y (/.f64 x y) y)) |
(*.f64 z (+.f64 y x)) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(fma.f64 y (/.f64 x y) y) |
(+.f64 y x) |
y |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
#s(literal 1 binary64) |
(/.f64 x y) |
x |
z |
(+.f64 (*.f64 z y) (*.f64 z x)) |
(*.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y z)) |
(*.f64 z (fma.f64 y (/.f64 x y) y)) |
(*.f64 z (+.f64 y x)) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
(*.f64 z x) |
x |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 z y) |
| ✓ | accuracy | 100.0% | (*.f64 z x) |
| ✓ | accuracy | 98.2% | (+.f64 (*.f64 z y) (*.f64 z x)) |
| ✓ | accuracy | 100.0% | (/.f64 x y) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (/.f64 x y)) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z) |
| ✓ | accuracy | 91.5% | (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
| ✓ | accuracy | 100.0% | (*.f64 z x) |
| ✓ | accuracy | 100.0% | (*.f64 y z) |
| 39.0ms | 256× | 0 | valid |
Compiled 58 to 13 computations (77.6% saved)
ival-mult: 9.0ms (64.2% of total)ival-div: 2.0ms (14.3% of total)ival-add: 2.0ms (14.3% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 y z)> |
#<alt (*.f64 z x)> |
#<alt (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z)> |
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))> |
#<alt (+.f64 #s(literal 1 binary64) (/.f64 x y))> |
#<alt (/.f64 x y)> |
#<alt (+.f64 (*.f64 z y) (*.f64 z x))> |
#<alt (*.f64 z y)> |
| Outputs |
|---|
#<alt (*.f64 x z)> |
#<alt (*.f64 x z)> |
#<alt (*.f64 x z)> |
#<alt (*.f64 x z)> |
#<alt (*.f64 x z)> |
#<alt (*.f64 x z)> |
#<alt (*.f64 x z)> |
#<alt (*.f64 x z)> |
#<alt (*.f64 x z)> |
#<alt (*.f64 x z)> |
#<alt (*.f64 x z)> |
#<alt (*.f64 x z)> |
#<alt (*.f64 x z)> |
#<alt (*.f64 x z)> |
#<alt (*.f64 x z)> |
#<alt (*.f64 x z)> |
#<alt (*.f64 x z)> |
#<alt (*.f64 x z)> |
#<alt (*.f64 x z)> |
#<alt (*.f64 x z)> |
#<alt (*.f64 x z)> |
#<alt (*.f64 x z)> |
#<alt (*.f64 x z)> |
#<alt (*.f64 x z)> |
#<alt (*.f64 x z)> |
#<alt (+.f64 (*.f64 x z) (*.f64 y z))> |
#<alt (+.f64 (*.f64 x z) (*.f64 y z))> |
#<alt (+.f64 (*.f64 x z) (*.f64 y z))> |
#<alt (*.f64 y z)> |
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))> |
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))> |
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))> |
#<alt (*.f64 y z)> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))> |
#<alt (*.f64 y z)> |
#<alt (+.f64 (*.f64 x z) (*.f64 y z))> |
#<alt (+.f64 (*.f64 x z) (*.f64 y z))> |
#<alt (+.f64 (*.f64 x z) (*.f64 y z))> |
#<alt (*.f64 x z)> |
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))> |
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))> |
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))> |
#<alt (*.f64 x z)> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))> |
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))> |
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))> |
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))> |
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))> |
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))> |
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))> |
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))> |
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))> |
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))> |
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))> |
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))> |
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))> |
#<alt x> |
#<alt (+.f64 x y)> |
#<alt (+.f64 x y)> |
#<alt (+.f64 x y)> |
#<alt y> |
#<alt y> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))> |
#<alt y> |
#<alt (+.f64 x y)> |
#<alt (+.f64 x y)> |
#<alt (+.f64 x y)> |
#<alt x> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))> |
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))> |
#<alt x> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))> |
#<alt #s(literal 1 binary64)> |
#<alt (/.f64 x y)> |
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (/.f64 x y)> |
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))> |
#<alt (/.f64 x y)> |
#<alt (/.f64 (+.f64 x y) y)> |
#<alt (/.f64 (+.f64 x y) y)> |
#<alt (/.f64 (+.f64 x y) y)> |
#<alt #s(literal 1 binary64)> |
#<alt #s(literal 1 binary64)> |
#<alt (*.f64 z (+.f64 x y))> |
#<alt (*.f64 z (+.f64 x y))> |
#<alt (*.f64 z (+.f64 x y))> |
#<alt (*.f64 z (+.f64 x y))> |
#<alt (*.f64 z (+.f64 x y))> |
#<alt (*.f64 z (+.f64 x y))> |
#<alt (*.f64 z (+.f64 x y))> |
#<alt (*.f64 z (+.f64 x y))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))> |
#<alt (*.f64 x z)> |
#<alt (+.f64 (*.f64 x z) (*.f64 y z))> |
#<alt (+.f64 (*.f64 x z) (*.f64 y z))> |
#<alt (+.f64 (*.f64 x z) (*.f64 y z))> |
#<alt (*.f64 y z)> |
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))> |
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))> |
#<alt (*.f64 y (+.f64 z (/.f64 (*.f64 x z) y)))> |
#<alt (*.f64 y z)> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))> |
#<alt (*.f64 y z)> |
#<alt (+.f64 (*.f64 x z) (*.f64 y z))> |
#<alt (+.f64 (*.f64 x z) (*.f64 y z))> |
#<alt (+.f64 (*.f64 x z) (*.f64 y z))> |
#<alt (*.f64 x z)> |
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))> |
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))> |
#<alt (*.f64 x (+.f64 z (/.f64 (*.f64 y z) x)))> |
#<alt (*.f64 x z)> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))> |
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))> |
#<alt (*.f64 y z)> |
#<alt (*.f64 y z)> |
#<alt (*.f64 y z)> |
#<alt (*.f64 y z)> |
#<alt (*.f64 y z)> |
#<alt (*.f64 y z)> |
#<alt (*.f64 y z)> |
#<alt (*.f64 y z)> |
#<alt (*.f64 y z)> |
#<alt (*.f64 y z)> |
#<alt (*.f64 y z)> |
#<alt (*.f64 y z)> |
#<alt (*.f64 y z)> |
#<alt (*.f64 y z)> |
#<alt (*.f64 y z)> |
#<alt (*.f64 y z)> |
#<alt (*.f64 y z)> |
#<alt (*.f64 y z)> |
#<alt (*.f64 y z)> |
#<alt (*.f64 y z)> |
#<alt (*.f64 y z)> |
#<alt (*.f64 y z)> |
#<alt (*.f64 y z)> |
#<alt (*.f64 y z)> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (* y z) |
| 2.0ms | x | @ | inf | (* (* y (+ 1 (/ x y))) z) |
| 2.0ms | z | @ | inf | (+ (* z y) (* z x)) |
| 1.0ms | z | @ | 0 | (* (* y (+ 1 (/ x y))) z) |
| 1.0ms | y | @ | -inf | (* (* y (+ 1 (/ x y))) z) |
| 1× | batch-egg-rewrite |
| 805× | log1p-expm1-u |
| 805× | expm1-log1p-u |
| 639× | fma-define |
| 267× | fma-neg |
| 213× | expm1-undefine |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 158 |
| 1 | 269 | 158 |
| 2 | 3607 | 156 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y z) |
(*.f64 z x) |
(*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 x y) |
(+.f64 (*.f64 z y) (*.f64 z x)) |
(*.f64 z y) |
| Outputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 y z) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 y) z)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))) |
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 y z))) |
(log1p.f64 (expm1.f64 (*.f64 y z))) |
(exp.f64 (log.f64 (*.f64 y z))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 z x) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 x) z)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x)))) |
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 z x))) |
(log1p.f64 (expm1.f64 (*.f64 z x))) |
(exp.f64 (log.f64 (*.f64 z x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1 binary64))) |
(+.f64 (*.f64 y z) (*.f64 z (*.f64 y (/.f64 x y)))) |
(+.f64 (*.f64 y z) (*.f64 (*.f64 y (/.f64 x y)) z)) |
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y))) |
(pow.f64 (/.f64 x y) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(neg.f64 (/.f64 x (neg.f64 y))) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (/.f64 x y))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y)))) |
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (/.f64 x y))) |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 x y)) #s(literal 1 binary64))) |
(log1p.f64 (expm1.f64 (/.f64 x y))) |
(exp.f64 (log.f64 (/.f64 x y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal -1 binary64)) |
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal -1 binary64)) |
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal -1 binary64)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 y x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 z (-.f64 y x))) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 z (-.f64 y x)))) |
(*.f64 z (+.f64 y x)) |
(*.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x))) |
(*.f64 (*.f64 z (+.f64 y x)) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (+.f64 y x)))) |
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (+.f64 y x))) |
(*.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) (sqrt.f64 (*.f64 z (+.f64 y x)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (+.f64 y x))) |
(*.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 y x)))) |
(*.f64 (+.f64 y x) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 y x)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 y (*.f64 z (*.f64 z x)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (*.f64 z (-.f64 y x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (neg.f64 (*.f64 z (-.f64 y x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 (*.f64 z x) (*.f64 y z))) |
(pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 z) (+.f64 y x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 y x))))) |
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 y x)))) |
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 y x)))) |
(exp.f64 (log.f64 (*.f64 z (+.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1 binary64))) |
(fma.f64 y z (*.f64 z x)) |
(fma.f64 z y (*.f64 z x)) |
(fma.f64 z x (*.f64 y z)) |
(fma.f64 x z (*.f64 y z)) |
(fma.f64 (*.f64 z x) #s(literal 1 binary64) (*.f64 y z)) |
(fma.f64 #s(literal 1 binary64) (*.f64 z x) (*.f64 y z)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 z x)) |
(fma.f64 (*.f64 y z) #s(literal 1 binary64) (*.f64 z x)) |
(fma.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 z x)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y z)) (*.f64 z x)) |
(fma.f64 (cbrt.f64 (*.f64 z x)) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (*.f64 y z)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z x)) (*.f64 y z)) |
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (*.f64 z x)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) z) (*.f64 y z)) |
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (*.f64 z x)) |
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) x) (*.f64 y z)) |
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 z x)) |
(fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (*.f64 y z)) |
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 z x)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z) (*.f64 y z)) |
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 z x)) |
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x) (*.f64 y z)) |
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 z x)) |
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 z x)) |
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 z x)) |
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 z x)) |
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y z)) |
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y z)) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 y z)) |
(fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) (*.f64 y z)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 y z) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 y) z)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))) |
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 y z))) |
(log1p.f64 (expm1.f64 (*.f64 y z))) |
(exp.f64 (log.f64 (*.f64 y z))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 421× | distribute-lft-in |
| 416× | fma-neg |
| 414× | distribute-lft-neg-in |
| 397× | distribute-rgt-neg-in |
| 262× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 554 | 10728 |
| 1 | 1234 | 9818 |
| 2 | 3582 | 9812 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(*.f64 y z) |
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y))) |
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y))) |
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y))) |
(*.f64 y z) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))) |
(*.f64 y z) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(*.f64 x z) |
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x))) |
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x))) |
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x))) |
(*.f64 x z) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))) |
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
x |
(+.f64 x y) |
(+.f64 x y) |
(+.f64 x y) |
y |
y |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))) |
y |
(+.f64 x y) |
(+.f64 x y) |
(+.f64 x y) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
x |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(/.f64 x y) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 x y) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 x y) |
(/.f64 (+.f64 x y) y) |
(/.f64 (+.f64 x y) y) |
(/.f64 (+.f64 x y) y) |
#s(literal 1 binary64) |
#s(literal 1 binary64) |
(*.f64 z (+.f64 x y)) |
(*.f64 z (+.f64 x y)) |
(*.f64 z (+.f64 x y)) |
(*.f64 z (+.f64 x y)) |
(*.f64 z (+.f64 x y)) |
(*.f64 z (+.f64 x y)) |
(*.f64 z (+.f64 x y)) |
(*.f64 z (+.f64 x y)) |
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) |
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) |
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) |
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) |
(*.f64 x z) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(*.f64 y z) |
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y))) |
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y))) |
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y))) |
(*.f64 y z) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))) |
(*.f64 y z) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(*.f64 x z) |
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x))) |
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x))) |
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x))) |
(*.f64 x z) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
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(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) #s(literal 1 binary64)) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y))) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y)) |
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y))) |
(pow.f64 (/.f64 x y) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(neg.f64 (/.f64 x (neg.f64 y))) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(log.f64 (exp.f64 (/.f64 x y))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y)))) |
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (/.f64 x y))) |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 x y)) #s(literal 1 binary64))) |
(log1p.f64 (expm1.f64 (/.f64 x y))) |
(exp.f64 (log.f64 (/.f64 x y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal -1 binary64)) |
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal -1 binary64)) |
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal -1 binary64)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 y x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 z (-.f64 y x))) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 z (-.f64 y x)))) |
(*.f64 z (+.f64 y x)) |
(*.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x))) |
(*.f64 (*.f64 z (+.f64 y x)) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (+.f64 y x)))) |
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (+.f64 y x))) |
(*.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) (sqrt.f64 (*.f64 z (+.f64 y x)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (+.f64 y x))) |
(*.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 y x)))) |
(*.f64 (+.f64 y x) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 y x)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 y (*.f64 z (*.f64 z x)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (*.f64 z (-.f64 y x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (neg.f64 (*.f64 z (-.f64 y x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 (*.f64 z x) (*.f64 y z))) |
(pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 z) (+.f64 y x))) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 y x))))) |
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 y x)))) |
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 y x)))) |
(exp.f64 (log.f64 (*.f64 z (+.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1 binary64))) |
(fma.f64 y z (*.f64 z x)) |
(fma.f64 z y (*.f64 z x)) |
(fma.f64 z x (*.f64 y z)) |
(fma.f64 x z (*.f64 y z)) |
(fma.f64 (*.f64 z x) #s(literal 1 binary64) (*.f64 y z)) |
(fma.f64 #s(literal 1 binary64) (*.f64 z x) (*.f64 y z)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 z x)) |
(fma.f64 (*.f64 y z) #s(literal 1 binary64) (*.f64 z x)) |
(fma.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 z x)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y z)) (*.f64 z x)) |
(fma.f64 (cbrt.f64 (*.f64 z x)) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (*.f64 y z)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z x)) (*.f64 y z)) |
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (*.f64 z x)) |
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) z) (*.f64 y z)) |
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (*.f64 z x)) |
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) x) (*.f64 y z)) |
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 z x)) |
(fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (*.f64 y z)) |
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 z x)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z) (*.f64 y z)) |
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 z x)) |
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x) (*.f64 y z)) |
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 z x)) |
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 z x)) |
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 z x)) |
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 z x)) |
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y z)) |
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y z)) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 y z)) |
(fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) (*.f64 y z)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 y z) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))) |
(log.f64 (pow.f64 (exp.f64 y) z)) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))) |
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64))) |
(expm1.f64 (log1p.f64 (*.f64 y z))) |
(log1p.f64 (expm1.f64 (*.f64 y z))) |
(exp.f64 (log.f64 (*.f64 y z))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(*.f64 x z) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(*.f64 z (+.f64 x y)) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(*.f64 z (+.f64 x y)) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(*.f64 z (+.f64 x y)) |
(*.f64 y z) |
(*.f64 z y) |
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y))) |
(*.f64 z (+.f64 x y)) |
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y))) |
(*.f64 z (+.f64 x y)) |
(*.f64 y (+.f64 z (/.f64 (*.f64 x z) y))) |
(*.f64 z (+.f64 x y)) |
(*.f64 y z) |
(*.f64 z y) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))) |
(*.f64 z (+.f64 x y)) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))) |
(*.f64 z (+.f64 x y)) |
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))) |
(*.f64 z (+.f64 x y)) |
(*.f64 y z) |
(*.f64 z y) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(*.f64 z (+.f64 x y)) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(*.f64 z (+.f64 x y)) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(*.f64 z (+.f64 x y)) |
(*.f64 x z) |
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x))) |
(*.f64 x (+.f64 z (*.f64 y (/.f64 z x)))) |
(*.f64 x (fma.f64 y (/.f64 z x) z)) |
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x))) |
(*.f64 x (+.f64 z (*.f64 y (/.f64 z x)))) |
(*.f64 x (fma.f64 y (/.f64 z x) z)) |
(*.f64 x (+.f64 z (/.f64 (*.f64 y z) x))) |
(*.f64 x (+.f64 z (*.f64 y (/.f64 z x)))) |
(*.f64 x (fma.f64 y (/.f64 z x) z)) |
(*.f64 x z) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))) |
(*.f64 x (+.f64 z (*.f64 y (/.f64 z x)))) |
(*.f64 x (fma.f64 y (/.f64 z x) z)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))) |
(*.f64 x (+.f64 z (*.f64 y (/.f64 z x)))) |
(*.f64 x (fma.f64 y (/.f64 z x) z)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))) |
(*.f64 x (+.f64 z (*.f64 y (/.f64 z x)))) |
(*.f64 x (fma.f64 y (/.f64 z x) z)) |
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 z (+.f64 x y)) |
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 z (+.f64 x y)) |
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 z (+.f64 x y)) |
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 z (+.f64 x y)) |
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 z (+.f64 x y)) |
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 z (+.f64 x y)) |
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 z (+.f64 x y)) |
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 z (+.f64 x y)) |
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 z (+.f64 x y)) |
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 z (+.f64 x y)) |
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 z (+.f64 x y)) |
(*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 z (+.f64 x y)) |
x |
(+.f64 x y) |
(+.f64 x y) |
(+.f64 x y) |
y |
y |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))) |
(+.f64 x y) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))) |
(+.f64 x y) |
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))) |
(+.f64 x y) |
y |
(+.f64 x y) |
(+.f64 x y) |
(+.f64 x y) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
x |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
#s(literal 1 binary64) |
(/.f64 x y) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 x y) |
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(*.f64 z (+.f64 x y)) |
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y z)) |
(*.f64 z (+.f64 x y)) |
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y z)) |
(*.f64 z (+.f64 x y)) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 y z)) |
(*.f64 z (+.f64 x y)) |
(fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) (*.f64 y z)) |
(*.f64 z (+.f64 x y)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64)) |
(expm1.f64 (log1p.f64 (*.f64 z y))) |
(pow.f64 (*.f64 y z) #s(literal 1 binary64)) |
(*.f64 z y) |
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64)) |
(*.f64 z y) |
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64)) |
(*.f64 z y) |
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)) |
(*.f64 z y) |
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))) |
(*.f64 z y) |
(log.f64 (pow.f64 (exp.f64 y) z)) |
(*.f64 z y) |
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))) |
(*.f64 z y) |
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64))) |
(*.f64 z y) |
(expm1.f64 (log1p.f64 (*.f64 y z))) |
(expm1.f64 (log1p.f64 (*.f64 z y))) |
(log1p.f64 (expm1.f64 (*.f64 y z))) |
(*.f64 z y) |
(exp.f64 (log.f64 (*.f64 y z))) |
(*.f64 z y) |
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64))) |
(*.f64 z y) |
Compiled 4514 to 958 computations (78.8% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 349 | 0 | 349 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 1 | 1 |
| Total | 349 | 5 | 354 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.0% | (+.f64 (*.f64 z y) (*.f64 z x)) |
| ✓ | 100.0% | (*.f64 (+.f64 x y) z) |
| ✓ | 94.8% | (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z) |
| ✓ | 53.8% | (*.f64 z x) |
| ✓ | 55.4% | (*.f64 y z) |
Compiled 72 to 41 computations (43.1% saved)
| Inputs |
|---|
(*.f64 y z) |
(*.f64 z x) |
(*.f64 (+.f64 x y) z) |
(+.f64 (*.f64 z y) (*.f64 z x)) |
(*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z) |
| Outputs |
|---|
(*.f64 (+.f64 x y) z) |
5 calls:
| 3.0ms | (*.f64 (+.f64 x y) z) |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | (+.f64 x y) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (*.f64 (+.f64 x y) z) |
| 100.0% | 1 | (+.f64 x y) |
Compiled 26 to 18 computations (30.8% saved)
| Inputs |
|---|
(*.f64 y z) |
(*.f64 z x) |
| Outputs |
|---|
(*.f64 z x) |
(*.f64 y z) |
3 calls:
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.9% | 2 | x |
| 85.0% | 2 | y |
| 61.0% | 2 | z |
Compiled 12 to 9 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 y z) |
| Outputs |
|---|
(*.f64 y z) |
3 calls:
| 2.0ms | x |
| 1.0ms | z |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.4% | 1 | z |
| 55.4% | 1 | y |
| 55.4% | 1 | x |
Compiled 12 to 9 computations (25% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | -1.5665244257309282e-73 | -1.2778331431432238e-73 |
| 2.0ms | 48× | 0 | valid |
Compiled 56 to 40 computations (28.6% saved)
ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 3× | *-commutative |
| 1× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 73 |
| 1 | 23 | 73 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (+.f64 x y) z) |
(if (<=.f64 x #s(literal -18649621365367/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) (*.f64 z x) (*.f64 y z)) |
(*.f64 y z) |
| Outputs |
|---|
(*.f64 (+.f64 x y) z) |
(if (<=.f64 x #s(literal -18649621365367/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) (*.f64 z x) (*.f64 y z)) |
(if (<=.f64 x #s(literal -18649621365367/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) (*.f64 x z) (*.f64 y z)) |
(*.f64 y z) |
| 577× | fma-neg |
| 467× | distribute-lft-neg-in |
| 393× | distribute-rgt-neg-in |
| 335× | fma-define |
| 318× | unswap-sqr |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 255 | 4089 |
| 1 | 554 | 4035 |
| 2 | 1482 | 3966 |
| 3 | 5020 | 3084 |
| 1× | done |
| 1× | node limit |
Compiled 30 to 15 computations (50% saved)
(sort x y)
(negabs z)
Compiled 154 to 90 computations (41.6% saved)
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