Time bar (total: 3.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 3 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 4 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 5 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 6 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 7 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 8 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 9 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 10 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 11 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 12 |
Compiled 9 to 6 computations (33.3% saved)
| 1.5s | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 2× | 1-exp |
| 2× | fma-def |
| 2× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 1 | 13 | 15 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 x (+.f64 (*.f64 x x) 1)) |
| Outputs |
|---|
(/.f64 x (+.f64 (*.f64 x x) 1)) |
(/.f64 x (fma.f64 x x 1)) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
| 2× | 1-exp |
| 2× | fma-def |
| 2× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 1 | 13 | 15 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (+.f64 (*.f64 x x) 1)) |
| Outputs |
|---|
(/.f64 x (+.f64 (*.f64 x x) 1)) |
(/.f64 x (fma.f64 x x 1)) |
Compiled 14 to 8 computations (42.9% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 13.1b | (/.f64 x (+.f64 (*.f64 x x) 1)) |
Compiled 8 to 5 computations (37.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 13.1b | (/.f64 x (+.f64 (*.f64 x x) 1)) |
Compiled 18 to 8 computations (55.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 x (+.f64 (*.f64 x x) 1)) |
| 0.0ms | x | @ | 0 | (/.f64 x (+.f64 (*.f64 x x) 1)) |
| 0.0ms | x | @ | -inf | (/.f64 x (+.f64 (*.f64 x x) 1)) |
| 1× | batch-egg-rewrite |
| 1572× | add-sqr-sqrt |
| 1552× | *-un-lft-identity |
| 1454× | add-cube-cbrt |
| 1440× | add-cbrt-cube |
| 1432× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 1 | 151 | 15 |
| 2 | 2029 | 15 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (+.f64 (*.f64 x x) 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (fma.f64 x x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) (/.f64 (sqrt.f64 x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x)) (/.f64 (cbrt.f64 x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x 1) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x x 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1)))))))) |
| 1× | egg-herbie |
| 1542× | associate-+r+ |
| 1334× | associate-+l+ |
| 1180× | distribute-lft-in |
| 626× | associate-+l- |
| 540× | associate-*r/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 117 | 1335 |
| 1 | 307 | 1171 |
| 2 | 1038 | 1019 |
| 3 | 4111 | 1019 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(-.f64 (+.f64 1 (/.f64 x (fma.f64 x x 1))) 1) |
(*.f64 x (/.f64 1 (fma.f64 x x 1))) |
(*.f64 1 (/.f64 x (fma.f64 x x 1))) |
(*.f64 (/.f64 x (fma.f64 x x 1)) 1) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x x 1)))) |
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) (/.f64 (sqrt.f64 x) (hypot.f64 1 x))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x x 1)))) |
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) |
(*.f64 (/.f64 1 (fma.f64 x x 1)) x) |
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x x 1)))) |
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x x 1)))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1)) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x x 1))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x x 1))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x)) (/.f64 (cbrt.f64 x) (hypot.f64 1 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) |
(pow.f64 (/.f64 x (fma.f64 x x 1)) 1) |
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3) |
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3) |
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1) |
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x x 1)))) |
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2)) |
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1)))) |
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1)))) |
(exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x x 1))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1)))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(fma.f64 -1 (pow.f64 x 3) x) |
(-.f64 x (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x)) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) |
(+.f64 (-.f64 x (pow.f64 x 3)) (pow.f64 x 5)) |
(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x))) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 (pow.f64 x 5) (fma.f64 -1 (pow.f64 x 7) x))) |
(-.f64 (+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 7))) (pow.f64 x 3)) |
(+.f64 (-.f64 x (pow.f64 x 7)) (-.f64 (pow.f64 x 5) (pow.f64 x 3))) |
(+.f64 x (-.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 7)) (pow.f64 x 3))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 -1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))) |
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 7))) (/.f64 -1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 -1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 5))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 -1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))) |
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 7))) (/.f64 -1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 -1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 5))))) |
(-.f64 (+.f64 1 (/.f64 x (fma.f64 x x 1))) 1) |
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1)) |
(+.f64 (/.f64 x (fma.f64 x x 1)) 0) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 x (/.f64 1 (fma.f64 x x 1))) |
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1)) |
(+.f64 (/.f64 x (fma.f64 x x 1)) 0) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 1 (/.f64 x (fma.f64 x x 1))) |
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1)) |
(+.f64 (/.f64 x (fma.f64 x x 1)) 0) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (/.f64 x (fma.f64 x x 1)) 1) |
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1)) |
(+.f64 (/.f64 x (fma.f64 x x 1)) 0) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x x 1)))) |
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1)) |
(+.f64 (/.f64 x (fma.f64 x x 1)) 0) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) (/.f64 (sqrt.f64 x) (hypot.f64 1 x))) |
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x x 1)))) |
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1)) |
(+.f64 (/.f64 x (fma.f64 x x 1)) 0) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2)) |
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1)) |
(+.f64 (/.f64 x (fma.f64 x x 1)) 0) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) |
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1)) |
(+.f64 (/.f64 x (fma.f64 x x 1)) 0) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (/.f64 1 (fma.f64 x x 1)) x) |
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1)) |
(+.f64 (/.f64 x (fma.f64 x x 1)) 0) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x x 1)))) |
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1)) |
(+.f64 (/.f64 x (fma.f64 x x 1)) 0) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x))) |
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x x 1)))) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (fma.f64 x x 1))) |
(/.f64 x (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (cbrt.f64 (fma.f64 x x 1)))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1)) |
(*.f64 (/.f64 x (+.f64 -1 (pow.f64 x 4))) (fma.f64 x x -1)) |
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))) |
(/.f64 (+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3))) (+.f64 1 (pow.f64 x 6))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x x 1))) |
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1)) |
(+.f64 (/.f64 x (fma.f64 x x 1)) 0) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x x 1)))) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (fma.f64 x x 1))) |
(/.f64 x (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (cbrt.f64 (fma.f64 x x 1)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x x 1))) |
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1)) |
(+.f64 (/.f64 x (fma.f64 x x 1)) 0) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x)) (/.f64 (cbrt.f64 x) (hypot.f64 1 x))) |
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) |
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2))) |
(pow.f64 (/.f64 x (fma.f64 x x 1)) 1) |
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1)) |
(+.f64 (/.f64 x (fma.f64 x x 1)) 0) |
(/.f64 x (fma.f64 x x 1)) |
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3) |
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1)) |
(+.f64 (/.f64 x (fma.f64 x x 1)) 0) |
(/.f64 x (fma.f64 x x 1)) |
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3) |
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1)) |
(+.f64 (/.f64 x (fma.f64 x x 1)) 0) |
(/.f64 x (fma.f64 x x 1)) |
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1) |
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1)) |
(+.f64 (/.f64 x (fma.f64 x x 1)) 0) |
(/.f64 x (fma.f64 x x 1)) |
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x x 1)))) |
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1)) |
(+.f64 (/.f64 x (fma.f64 x x 1)) 0) |
(/.f64 x (fma.f64 x x 1)) |
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2)) |
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1)) |
(+.f64 (/.f64 x (fma.f64 x x 1)) 0) |
(/.f64 x (fma.f64 x x 1)) |
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1)))) |
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1)) |
(+.f64 (/.f64 x (fma.f64 x x 1)) 0) |
(/.f64 x (fma.f64 x x 1)) |
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3)) |
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1)) |
(+.f64 (/.f64 x (fma.f64 x x 1)) 0) |
(/.f64 x (fma.f64 x x 1)) |
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1)))) |
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1)) |
(+.f64 (/.f64 x (fma.f64 x x 1)) 0) |
(/.f64 x (fma.f64 x x 1)) |
(exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1)))) |
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1)) |
(+.f64 (/.f64 x (fma.f64 x x 1)) 0) |
(/.f64 x (fma.f64 x x 1)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x x 1))) 1)) |
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1)) |
(+.f64 (/.f64 x (fma.f64 x x 1)) 0) |
(/.f64 x (fma.f64 x x 1)) |
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1)))) |
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1)) |
(+.f64 (/.f64 x (fma.f64 x x 1)) 0) |
(/.f64 x (fma.f64 x x 1)) |
Compiled 800 to 549 computations (31.4% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 63 | 4 | 67 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 63 | 5 | 68 |
| Status | Error | Program |
|---|---|---|
| ▶ | 13.1b | (pow.f64 (/.f64 (fma.f64 x x 1) x) -1) |
| ▶ | 20.2b | (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) |
| ✓ | 13.1b | (/.f64 x (+.f64 (*.f64 x x) 1)) |
| ▶ | 34.0b | (/.f64 1 x) |
| 28.4b | x |
Compiled 35 to 24 computations (31.4% saved)
Compiled 6 to 4 computations (33.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 x 3) |
| ✓ | 0.0b | (-.f64 (pow.f64 x 3) x) |
| ✓ | 19.9b | (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) |
Compiled 32 to 23 computations (28.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (-.f64 (pow.f64 x 3) x) |
| 0.0ms | x | @ | -inf | (-.f64 (pow.f64 x 3) x) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) |
| 0.0ms | x | @ | -inf | (pow.f64 x 3) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) |
| 1× | batch-egg-rewrite |
| 1522× | associate-/l* |
| 1502× | associate-/r* |
| 1490× | associate-*l/ |
| 1090× | *-commutative |
| 252× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 51 |
| 1 | 260 | 51 |
| 2 | 3487 | 51 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) |
(-.f64 (pow.f64 x 3) x) |
(pow.f64 x 3) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 3) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 3) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 3) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 3) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 x 3) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 x 3) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 x 3) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 x 3) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (*.f64 x x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (*.f64 x x)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3))))))) |
| 1× | egg-herbie |
| 738× | associate-+l+ |
| 688× | associate-+r+ |
| 568× | +-commutative |
| 554× | associate-+l- |
| 548× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 390 | 5693 |
| 1 | 978 | 5433 |
| 2 | 4983 | 5397 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(*.f64 -1 x) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(pow.f64 x 3) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(pow.f64 x 3) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(+.f64 (/.f64 (pow.f64 x 3) (+.f64 -1 (pow.f64 x 4))) (neg.f64 (/.f64 x (+.f64 -1 (pow.f64 x 4))))) |
(+.f64 (neg.f64 (/.f64 x (+.f64 -1 (pow.f64 x 4)))) (/.f64 (pow.f64 x 3) (+.f64 -1 (pow.f64 x 4)))) |
(-.f64 (/.f64 (pow.f64 x 3) (+.f64 -1 (pow.f64 x 4))) (/.f64 x (+.f64 -1 (pow.f64 x 4)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))))) 1) |
(*.f64 (-.f64 (pow.f64 x 3) x) (/.f64 -1 (-.f64 1 (pow.f64 x 4)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) 1) |
(*.f64 1 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) (/.f64 -1 (-.f64 1 (pow.f64 x 4))))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) 2) (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2) (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) (/.f64 -1 (-.f64 1 (pow.f64 x 4))))) |
(*.f64 (-.f64 -1 (pow.f64 x 4)) (/.f64 (-.f64 (pow.f64 x 3) x) (-.f64 1 (pow.f64 x 8)))) |
(*.f64 (/.f64 -1 (-.f64 1 (pow.f64 x 4))) (-.f64 (pow.f64 x 3) x)) |
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(*.f64 (neg.f64 (-.f64 (pow.f64 x 3) x)) (/.f64 -1 (+.f64 -1 (pow.f64 x 4)))) |
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(*.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) (/.f64 -1 (-.f64 1 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))))) |
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(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) 3) |
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(pow.f64 (/.f64 (+.f64 -1 (pow.f64 x 4)) (-.f64 (pow.f64 x 3) x)) -1) |
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) 3)) |
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(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))))) |
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(+.f64 (-.f64 (pow.f64 x 3) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
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(+.f64 (-.f64 (pow.f64 x 3) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (-.f64 (pow.f64 x 3) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (neg.f64 x) (pow.f64 x 3)) |
(+.f64 (neg.f64 x) (+.f64 (pow.f64 x 3) (fma.f64 (neg.f64 x) 1 x))) |
(+.f64 (neg.f64 x) (+.f64 (pow.f64 x 3) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) |
(+.f64 (neg.f64 x) (+.f64 (pow.f64 x 3) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) |
(+.f64 (fma.f64 (neg.f64 x) 1 x) (-.f64 (pow.f64 x 3) x)) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (pow.f64 x 3) x)) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (pow.f64 x 3) x)) |
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(*.f64 x (-.f64 (*.f64 x x) 1)) |
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(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2) (cbrt.f64 (-.f64 (pow.f64 x 3) x))) |
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(*.f64 (-.f64 (*.f64 x x) 1) x) |
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(*.f64 (/.f64 1 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))) (-.f64 (pow.f64 x 9) (pow.f64 x 3))) |
(/.f64 x (/.f64 1 (-.f64 (*.f64 x x) 1))) |
(/.f64 (-.f64 (pow.f64 x 3) x) 1) |
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(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2))) |
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(/.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))) (/.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))) (-.f64 (pow.f64 x 3) x))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3))) (/.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))) (sqrt.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (*.f64 x x))) (/.f64 (+.f64 x (pow.f64 x 3)) (sqrt.f64 (-.f64 (pow.f64 x 6) (*.f64 x x))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3))) (cbrt.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)))) (/.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))) (cbrt.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 6) (*.f64 x x))) (cbrt.f64 (-.f64 (pow.f64 x 6) (*.f64 x x)))) (/.f64 (+.f64 x (pow.f64 x 3)) (cbrt.f64 (-.f64 (pow.f64 x 6) (*.f64 x x))))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 x 12) (pow.f64 x 4)) (/.f64 1 (+.f64 x (pow.f64 x 3)))) (+.f64 (pow.f64 x 6) (*.f64 x x))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 9) 3) (pow.f64 x 9)) (/.f64 1 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))) (+.f64 (+.f64 (*.f64 (pow.f64 x 9) (pow.f64 x 9)) (pow.f64 x 6)) (*.f64 (pow.f64 x 3) (pow.f64 x 9)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (*.f64 x x)) x) (+.f64 1 (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (*.f64 x x)) 1) (+.f64 x (pow.f64 x 3))) |
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(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (*.f64 x x)) (*.f64 (cbrt.f64 (+.f64 x (pow.f64 x 3))) (cbrt.f64 (+.f64 x (pow.f64 x 3))))) (cbrt.f64 (+.f64 x (pow.f64 x 3)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (*.f64 x x)) (+.f64 1 (*.f64 x x))) x) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) 1) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))) |
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(pow.f64 (-.f64 (pow.f64 x 3) x) 1) |
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) 2) |
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 3) |
(pow.f64 (pow.f64 (-.f64 (pow.f64 x 3) x) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x 3) x) 2)) |
(log.f64 (exp.f64 (-.f64 (pow.f64 x 3) x))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x 3) x)))) |
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 3) x) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x 3) x))) |
(exp.f64 (log.f64 (-.f64 (pow.f64 x 3) x))) |
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x 3) x))) |
(fma.f64 x (*.f64 x x) (neg.f64 x)) |
(fma.f64 1 (pow.f64 x 3) (neg.f64 x)) |
(fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) (neg.f64 x)) |
(fma.f64 (*.f64 x x) x (neg.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 3))) 1) |
(*.f64 x (*.f64 x x)) |
(*.f64 x (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3)) |
(*.f64 (pow.f64 x 3) 1) |
(*.f64 1 (pow.f64 x 3)) |
(*.f64 (pow.f64 x 3/2) (pow.f64 x 3/2)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x x))) |
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x x))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x x))) |
(*.f64 (*.f64 x x) x) |
(*.f64 (*.f64 (sqrt.f64 x) (*.f64 x x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x x)) (cbrt.f64 x)) |
(*.f64 (*.f64 (cbrt.f64 x) (*.f64 x x)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x) |
(sqrt.f64 (pow.f64 x 6)) |
(log.f64 (exp.f64 (pow.f64 x 3))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3)))) |
(cbrt.f64 (pow.f64 x 9)) |
(expm1.f64 (log1p.f64 (pow.f64 x 3))) |
(exp.f64 (*.f64 3 (log.f64 x))) |
(log1p.f64 (expm1.f64 (pow.f64 x 3))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(fma.f64 -1 (pow.f64 x 3) x) |
(-.f64 x (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x)) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) |
(+.f64 (pow.f64 x 5) (-.f64 x (pow.f64 x 3))) |
(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x))) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 (pow.f64 x 5) (fma.f64 -1 (pow.f64 x 7) x))) |
(+.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 7)) (-.f64 x (pow.f64 x 3))) |
(+.f64 (pow.f64 x 5) (-.f64 (-.f64 x (pow.f64 x 7)) (pow.f64 x 3))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 7)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 7)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(-.f64 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(-.f64 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(-.f64 (pow.f64 x 3) x) |
(pow.f64 x 3) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(-.f64 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(-.f64 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(-.f64 (pow.f64 x 3) x) |
(pow.f64 x 3) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(-.f64 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(-.f64 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1 x) (pow.f64 x 3)) |
(-.f64 (pow.f64 x 3) x) |
(+.f64 (/.f64 (pow.f64 x 3) (+.f64 -1 (pow.f64 x 4))) (neg.f64 (/.f64 x (+.f64 -1 (pow.f64 x 4))))) |
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) |
(+.f64 (neg.f64 (/.f64 x (+.f64 -1 (pow.f64 x 4)))) (/.f64 (pow.f64 x 3) (+.f64 -1 (pow.f64 x 4)))) |
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) |
(-.f64 (/.f64 (pow.f64 x 3) (+.f64 -1 (pow.f64 x 4))) (/.f64 x (+.f64 -1 (pow.f64 x 4)))) |
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))))) 1) |
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) |
(*.f64 (-.f64 (pow.f64 x 3) x) (/.f64 -1 (-.f64 1 (pow.f64 x 4)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) x)) (-.f64 1 (pow.f64 x 4))) |
(/.f64 (-.f64 x (pow.f64 x 3)) (-.f64 1 (pow.f64 x 4))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) 1) |
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) |
(*.f64 1 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) |
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))))) |
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) (/.f64 -1 (-.f64 1 (pow.f64 x 4))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) x)) (-.f64 1 (pow.f64 x 4))) |
(/.f64 (-.f64 x (pow.f64 x 3)) (-.f64 1 (pow.f64 x 4))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) 2)) |
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2)) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2) (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) 2) (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))))) |
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2) (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) (/.f64 -1 (-.f64 1 (pow.f64 x 4))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) x)) (-.f64 1 (pow.f64 x 4))) |
(/.f64 (-.f64 x (pow.f64 x 3)) (-.f64 1 (pow.f64 x 4))) |
(*.f64 (-.f64 -1 (pow.f64 x 4)) (/.f64 (-.f64 (pow.f64 x 3) x) (-.f64 1 (pow.f64 x 8)))) |
(/.f64 (-.f64 (pow.f64 x 3) x) (/.f64 (-.f64 1 (pow.f64 x 8)) (-.f64 -1 (pow.f64 x 4)))) |
(*.f64 (/.f64 -1 (-.f64 1 (pow.f64 x 4))) (-.f64 (pow.f64 x 3) x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) x)) (-.f64 1 (pow.f64 x 4))) |
(/.f64 (-.f64 x (pow.f64 x 3)) (-.f64 1 (pow.f64 x 4))) |
(*.f64 (+.f64 1 (+.f64 (pow.f64 x 4) (pow.f64 x 8))) (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 12)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) x) (+.f64 1 (+.f64 (pow.f64 x 4) (pow.f64 x 8)))) (+.f64 -1 (pow.f64 x 12))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x 3) x)) (/.f64 -1 (+.f64 -1 (pow.f64 x 4)))) |
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) (/.f64 -1 (-.f64 1 (pow.f64 x 4)))) (sqrt.f64 (-.f64 (pow.f64 x 3) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) x)) (-.f64 1 (pow.f64 x 4))) |
(/.f64 (-.f64 x (pow.f64 x 3)) (-.f64 1 (pow.f64 x 4))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) (/.f64 -1 (-.f64 1 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) x)) (-.f64 1 (pow.f64 x 4))) |
(/.f64 (-.f64 x (pow.f64 x 3)) (-.f64 1 (pow.f64 x 4))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 (-.f64 (pow.f64 x 3) x) (sqrt.f64 (+.f64 -1 (pow.f64 x 4))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) (/.f64 (-.f64 (pow.f64 x 3) x) (cbrt.f64 (+.f64 -1 (pow.f64 x 4))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) (/.f64 (-.f64 (pow.f64 x 3) x) (cbrt.f64 (+.f64 -1 (pow.f64 x 4))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (-.f64 1 (pow.f64 x 8))) (-.f64 -1 (pow.f64 x 4))) |
(*.f64 (-.f64 -1 (pow.f64 x 4)) (/.f64 (-.f64 (pow.f64 x 3) x) (-.f64 1 (pow.f64 x 8)))) |
(/.f64 (-.f64 (pow.f64 x 3) x) (/.f64 (-.f64 1 (pow.f64 x 8)) (-.f64 -1 (pow.f64 x 4)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 12))) (+.f64 1 (+.f64 (pow.f64 x 4) (pow.f64 x 8)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) x) (+.f64 1 (+.f64 (pow.f64 x 4) (pow.f64 x 8)))) (+.f64 -1 (pow.f64 x 12))) |
(*.f64 (+.f64 1 (+.f64 (pow.f64 x 4) (pow.f64 x 8))) (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 12)))) |
(*.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 4))) (neg.f64 (-.f64 (pow.f64 x 3) x))) |
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) (+.f64 -1 (pow.f64 x 4)))) |
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) (+.f64 -1 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) 1)) |
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) (cbrt.f64 (+.f64 -1 (pow.f64 x 4))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) (/.f64 (-.f64 (pow.f64 x 3) x) (cbrt.f64 (+.f64 -1 (pow.f64 x 4))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) (/.f64 (-.f64 (pow.f64 x 3) x) (cbrt.f64 (+.f64 -1 (pow.f64 x 4))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) (+.f64 -1 (pow.f64 x 4)))) |
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) (+.f64 -1 (pow.f64 x 4))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2) 1)) |
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) (sqrt.f64 (+.f64 -1 (pow.f64 x 4))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2) (sqrt.f64 (+.f64 -1 (pow.f64 x 4))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2)) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2) (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))))) |
(pow.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) 1) |
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) 2) |
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) 3) |
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) 3) 1/3) |
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) |
(pow.f64 (/.f64 (+.f64 -1 (pow.f64 x 4)) (-.f64 (pow.f64 x 3) x)) -1) |
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (-.f64 1 (pow.f64 x 4)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) x)) (-.f64 1 (pow.f64 x 4))) |
(/.f64 (-.f64 x (pow.f64 x 3)) (-.f64 1 (pow.f64 x 4))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) 2)) |
(fabs.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) |
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))))) |
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) |
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(/.f64 (*.f64 (+.f64 (pow.f64 x 9) (pow.f64 (neg.f64 x) 3)) 1) (-.f64 (+.f64 (pow.f64 x 6) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (pow.f64 x 3) (neg.f64 x)))) |
(/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))) |
(/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3))) (sqrt.f64 (-.f64 (pow.f64 x 3) x))) (sqrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))) (sqrt.f64 (-.f64 (pow.f64 x 3) x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))))) (sqrt.f64 (-.f64 (pow.f64 x 3) x))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (*.f64 x x))) (sqrt.f64 (-.f64 (pow.f64 x 3) x))) (sqrt.f64 (+.f64 x (pow.f64 x 3)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (*.f64 x x))) (/.f64 (sqrt.f64 (+.f64 x (pow.f64 x 3))) (sqrt.f64 (-.f64 (pow.f64 x 3) x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (*.f64 x x))) (sqrt.f64 (+.f64 x (pow.f64 x 3)))) (sqrt.f64 (-.f64 (pow.f64 x 3) x))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2)) (cbrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2)) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 6) (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2)) (cbrt.f64 (+.f64 x (pow.f64 x 3)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2) (cbrt.f64 (-.f64 (pow.f64 x 6) (*.f64 x x)))) (cbrt.f64 (+.f64 x (pow.f64 x 3)))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 6) (*.f64 x x))) (cbrt.f64 (+.f64 x (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x 12) (pow.f64 x 4)) (/.f64 1 (+.f64 x (pow.f64 x 3)))) (+.f64 (pow.f64 x 6) (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x 12) (pow.f64 x 4)) 1) (+.f64 x (pow.f64 x 3))) (+.f64 (*.f64 x x) (pow.f64 x 6))) |
(/.f64 (-.f64 (pow.f64 x 12) (pow.f64 x 4)) (*.f64 (fma.f64 x x (pow.f64 x 6)) (+.f64 x (pow.f64 x 3)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 6) 3) (pow.f64 x 6)) (/.f64 1 (+.f64 x (pow.f64 x 3)))) (+.f64 (+.f64 (pow.f64 x 12) (pow.f64 x 4)) (pow.f64 x 8))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x 6) 3) (pow.f64 x 6)) (/.f64 (+.f64 (pow.f64 x 8) (+.f64 (pow.f64 x 4) (pow.f64 x 12))) (/.f64 1 (+.f64 x (pow.f64 x 3))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x 6) 3) (pow.f64 x 6)) (*.f64 (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 12) (pow.f64 x 8))) (+.f64 x (pow.f64 x 3)))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x 6) 3) (pow.f64 x 6)) (*.f64 (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 8) (pow.f64 x 12))) (+.f64 x (pow.f64 x 3)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 9) (pow.f64 x 9)) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))) (+.f64 (pow.f64 x 3) (pow.f64 x 9))) |
(/.f64 (-.f64 (pow.f64 x 18) (pow.f64 x 6)) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 9)) (/.f64 1 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 18) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6)))) (+.f64 (pow.f64 x 3) (pow.f64 x 9))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 9) 3) (pow.f64 x 9)) (/.f64 1 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))) (+.f64 (+.f64 (*.f64 (pow.f64 x 9) (pow.f64 x 9)) (pow.f64 x 6)) (*.f64 (pow.f64 x 3) (pow.f64 x 9)))) |
(/.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))) (-.f64 (pow.f64 (pow.f64 x 9) 3) (pow.f64 x 9))) (+.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 18)) (*.f64 (pow.f64 x 3) (pow.f64 x 9)))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x 9) 3) (pow.f64 x 9)) (*.f64 (fma.f64 (pow.f64 x 3) (pow.f64 x 9) (+.f64 (pow.f64 x 6) (pow.f64 x 18))) (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (*.f64 x x)) x) (+.f64 1 (*.f64 x x))) |
(-.f64 (pow.f64 x 3) x) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (*.f64 x x)) 1) (+.f64 x (pow.f64 x 3))) |
(-.f64 (pow.f64 x 3) x) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (*.f64 x x)) (sqrt.f64 (+.f64 x (pow.f64 x 3)))) (sqrt.f64 (+.f64 x (pow.f64 x 3)))) |
(-.f64 (pow.f64 x 3) x) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (*.f64 x x)) (*.f64 (cbrt.f64 (+.f64 x (pow.f64 x 3))) (cbrt.f64 (+.f64 x (pow.f64 x 3))))) (cbrt.f64 (+.f64 x (pow.f64 x 3)))) |
(-.f64 (pow.f64 x 3) x) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (*.f64 x x)) (+.f64 1 (*.f64 x x))) x) |
(-.f64 (pow.f64 x 3) x) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) 1) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))) |
(/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))) |
(/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))) (sqrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))) |
(/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))) |
(/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))) (cbrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))))) (cbrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))) |
(/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))) |
(/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6)))) |
(pow.f64 (-.f64 (pow.f64 x 3) x) 1) |
(-.f64 (pow.f64 x 3) x) |
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) 2) |
(-.f64 (pow.f64 x 3) x) |
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 3) |
(-.f64 (pow.f64 x 3) x) |
(pow.f64 (pow.f64 (-.f64 (pow.f64 x 3) x) 3) 1/3) |
(-.f64 (pow.f64 x 3) x) |
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x 3) x) 2)) |
(fabs.f64 (-.f64 (pow.f64 x 3) x)) |
(log.f64 (exp.f64 (-.f64 (pow.f64 x 3) x))) |
(-.f64 (pow.f64 x 3) x) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x 3) x)))) |
(-.f64 (pow.f64 x 3) x) |
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 3) x) 3)) |
(-.f64 (pow.f64 x 3) x) |
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x 3) x))) |
(-.f64 (pow.f64 x 3) x) |
(exp.f64 (log.f64 (-.f64 (pow.f64 x 3) x))) |
(-.f64 (pow.f64 x 3) x) |
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x 3) x))) |
(-.f64 (pow.f64 x 3) x) |
(fma.f64 x (*.f64 x x) (neg.f64 x)) |
(-.f64 (pow.f64 x 3) x) |
(fma.f64 1 (pow.f64 x 3) (neg.f64 x)) |
(-.f64 (pow.f64 x 3) x) |
(fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) (neg.f64 x)) |
(-.f64 (pow.f64 x 3) x) |
(fma.f64 (*.f64 x x) x (neg.f64 x)) |
(-.f64 (pow.f64 x 3) x) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 3))) 1) |
(pow.f64 x 3) |
(*.f64 x (*.f64 x x)) |
(pow.f64 x 3) |
(*.f64 x (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3)) |
(pow.f64 x 3) |
(*.f64 (pow.f64 x 3) 1) |
(pow.f64 x 3) |
(*.f64 1 (pow.f64 x 3)) |
(pow.f64 x 3) |
(*.f64 (pow.f64 x 3/2) (pow.f64 x 3/2)) |
(pow.f64 x 3) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x x))) |
(pow.f64 x 3) |
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x x))) |
(pow.f64 x 3) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x x))) |
(pow.f64 x 3) |
(*.f64 (*.f64 x x) x) |
(pow.f64 x 3) |
(*.f64 (*.f64 (sqrt.f64 x) (*.f64 x x)) (sqrt.f64 x)) |
(pow.f64 x 3) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x x)) (cbrt.f64 x)) |
(pow.f64 x 3) |
(*.f64 (*.f64 (cbrt.f64 x) (*.f64 x x)) (pow.f64 (cbrt.f64 x) 2)) |
(pow.f64 x 3) |
(*.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3)) |
(pow.f64 x 3) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x) |
(pow.f64 x 3) |
(sqrt.f64 (pow.f64 x 6)) |
(log.f64 (exp.f64 (pow.f64 x 3))) |
(pow.f64 x 3) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3)))) |
(pow.f64 x 3) |
(cbrt.f64 (pow.f64 x 9)) |
(expm1.f64 (log1p.f64 (pow.f64 x 3))) |
(pow.f64 x 3) |
(exp.f64 (*.f64 3 (log.f64 x))) |
(pow.f64 x 3) |
(log1p.f64 (expm1.f64 (pow.f64 x 3))) |
(pow.f64 x 3) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (pow.f64 (/.f64 (fma.f64 x x 1) x) -1) |
| ✓ | 13.0b | (/.f64 (fma.f64 x x 1) x) |
Compiled 22 to 13 computations (40.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (fma.f64 x x 1) x) |
| 0.0ms | x | @ | -inf | (/.f64 (fma.f64 x x 1) x) |
| 0.0ms | x | @ | inf | (/.f64 (fma.f64 x x 1) x) |
| 0.0ms | x | @ | -inf | (pow.f64 (/.f64 (fma.f64 x x 1) x) -1) |
| 0.0ms | x | @ | 0 | (pow.f64 (/.f64 (fma.f64 x x 1) x) -1) |
| 1× | batch-egg-rewrite |
| 1694× | add-sqr-sqrt |
| 1672× | *-un-lft-identity |
| 1558× | add-cube-cbrt |
| 1540× | add-cbrt-cube |
| 168× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 36 |
| 1 | 182 | 30 |
| 2 | 2147 | 30 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 x x 1) x) |
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x x 1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x x 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x 1)) (*.f64 (sqrt.f64 (fma.f64 x x 1)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x x 1) x)) (sqrt.f64 (/.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (*.f64 (cbrt.f64 (fma.f64 x x 1)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 2) (cbrt.f64 (/.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x x 1)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 x x 1) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 x x 1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x x 1)) 1) (/.f64 (sqrt.f64 (fma.f64 x x 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x x 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 x x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x x 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 x x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 x x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x x 1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x x 1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x x 1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x 1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x x 1) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (fma.f64 x x 1))) (sqrt.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (fma.f64 x x 1))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 1))) (/.f64 x (sqrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x 1))) (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x 1) -1) (pow.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 x x 1) x)) -1) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 x x 1) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (fma.f64 x x 1) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 x (fma.f64 x x 1))) (sqrt.f64 (/.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (fma.f64 x x 1) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (fma.f64 x x 1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 2)) (cbrt.f64 (/.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 (fma.f64 x x 1))) (sqrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x x 1) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x x 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1)))))))) |
| 1× | egg-herbie |
| 1496× | associate-+r- |
| 1252× | associate-/r* |
| 1004× | associate-/l* |
| 698× | unswap-sqr |
| 532× | +-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 189 | 1664 |
| 1 | 457 | 1656 |
| 2 | 1768 | 1656 |
| 3 | 7446 | 1656 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 x) |
(+.f64 (/.f64 1 x) x) |
(+.f64 (/.f64 1 x) x) |
(+.f64 (/.f64 1 x) x) |
x |
(+.f64 (/.f64 1 x) x) |
(+.f64 (/.f64 1 x) x) |
(+.f64 (/.f64 1 x) x) |
x |
(+.f64 (/.f64 1 x) x) |
(+.f64 (/.f64 1 x) x) |
(+.f64 (/.f64 1 x) x) |
x |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x x 1) x))) 1) |
(*.f64 1 (/.f64 (fma.f64 x x 1) x)) |
(*.f64 (fma.f64 x x 1) (/.f64 1 x)) |
(*.f64 (/.f64 (fma.f64 x x 1) x) 1) |
(*.f64 (sqrt.f64 (fma.f64 x x 1)) (*.f64 (sqrt.f64 (fma.f64 x x 1)) (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x x 1) x)) (sqrt.f64 (/.f64 (fma.f64 x x 1) x))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (*.f64 (cbrt.f64 (fma.f64 x x 1)) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 2) (cbrt.f64 (/.f64 (fma.f64 x x 1) x))) |
(*.f64 (/.f64 1 x) (fma.f64 x x 1)) |
(*.f64 (neg.f64 (fma.f64 x x 1)) (/.f64 1 (neg.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 x x 1) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 x x 1) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x 1)) 1) (/.f64 (sqrt.f64 (fma.f64 x x 1)) x)) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 x x 1)) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x x 1)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 x x 1)) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 x x 1) x))) |
(pow.f64 (/.f64 (fma.f64 x x 1) x) 1) |
(pow.f64 (/.f64 x (fma.f64 x x 1)) -1) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x x 1) x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 3) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 x x 1) x) 3) 1/3) |
(neg.f64 (/.f64 (fma.f64 x x 1) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x x 1) x) 2)) |
(log.f64 (exp.f64 (/.f64 (fma.f64 x x 1) x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x x 1) x)))) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x 1) x) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x x 1) x))) |
(exp.f64 (log.f64 (/.f64 (fma.f64 x x 1) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x 1) x)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x x 1) x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1)))) 1) |
(*.f64 x (/.f64 1 (fma.f64 x x 1))) |
(*.f64 1 (/.f64 x (fma.f64 x x 1))) |
(*.f64 (/.f64 x (fma.f64 x x 1)) 1) |
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x x 1))) (sqrt.f64 (/.f64 x (fma.f64 x x 1)))) |
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) |
(*.f64 (/.f64 1 (fma.f64 x x 1)) x) |
(*.f64 (/.f64 1 (neg.f64 (fma.f64 x x 1))) (neg.f64 x)) |
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 1))) (/.f64 x (sqrt.f64 (fma.f64 x x 1)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x x 1)))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x x 1))) |
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x 1))) (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x 1)))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x x 1))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x x 1)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (fma.f64 x x 1)))) |
(*.f64 (pow.f64 (fma.f64 x x 1) -1) (pow.f64 (/.f64 1 x) -1)) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 x x 1) x)) -1) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 x x 1) x)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) -1)) |
(/.f64 x (fma.f64 x x 1)) |
(/.f64 1 (/.f64 (fma.f64 x x 1) x)) |
(/.f64 1 (/.f64 (/.f64 (fma.f64 x x 1) x) 1)) |
(/.f64 -1 (neg.f64 (/.f64 (fma.f64 x x 1) x))) |
(/.f64 (sqrt.f64 (/.f64 x (fma.f64 x x 1))) (sqrt.f64 (/.f64 (fma.f64 x x 1) x))) |
(/.f64 (sqrt.f64 x) (/.f64 (fma.f64 x x 1) (sqrt.f64 x))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (fma.f64 x x 1) (cbrt.f64 x))) |
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 x x 1))) |
(/.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 1 x)) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 2)) (cbrt.f64 (/.f64 (fma.f64 x x 1) x))) |
(/.f64 (/.f64 x 1) (fma.f64 x x 1)) |
(/.f64 (/.f64 x (sqrt.f64 (fma.f64 x x 1))) (sqrt.f64 (fma.f64 x x 1))) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (fma.f64 x x 1))) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x x 1) x) -2)) |
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x x 1))))) |
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1)))) |
(exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1)))) |
(exp.f64 (-.f64 (log.f64 x) (log.f64 (fma.f64 x x 1)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x x 1))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1)))) |
| Outputs |
|---|
(/.f64 1 x) |
(+.f64 (/.f64 1 x) x) |
(+.f64 x (/.f64 1 x)) |
(+.f64 (/.f64 1 x) x) |
(+.f64 x (/.f64 1 x)) |
(+.f64 (/.f64 1 x) x) |
(+.f64 x (/.f64 1 x)) |
x |
(+.f64 (/.f64 1 x) x) |
(+.f64 x (/.f64 1 x)) |
(+.f64 (/.f64 1 x) x) |
(+.f64 x (/.f64 1 x)) |
(+.f64 (/.f64 1 x) x) |
(+.f64 x (/.f64 1 x)) |
x |
(+.f64 (/.f64 1 x) x) |
(+.f64 x (/.f64 1 x)) |
(+.f64 (/.f64 1 x) x) |
(+.f64 x (/.f64 1 x)) |
(+.f64 (/.f64 1 x) x) |
(+.f64 x (/.f64 1 x)) |
x |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(fma.f64 -1 (pow.f64 x 3) x) |
(-.f64 x (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x)) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) |
(+.f64 (-.f64 x (pow.f64 x 3)) (pow.f64 x 5)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x))) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 (pow.f64 x 5) (fma.f64 -1 (pow.f64 x 7) x))) |
(+.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 7)) (-.f64 x (pow.f64 x 3))) |
(+.f64 (pow.f64 x 5) (-.f64 (-.f64 x (pow.f64 x 3)) (pow.f64 x 7))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x x 1) x))) 1) |
(/.f64 (fma.f64 x x 1) x) |
(*.f64 1 (/.f64 (fma.f64 x x 1) x)) |
(/.f64 (fma.f64 x x 1) x) |
(*.f64 (fma.f64 x x 1) (/.f64 1 x)) |
(/.f64 (fma.f64 x x 1) x) |
(*.f64 (/.f64 (fma.f64 x x 1) x) 1) |
(/.f64 (fma.f64 x x 1) x) |
(*.f64 (sqrt.f64 (fma.f64 x x 1)) (*.f64 (sqrt.f64 (fma.f64 x x 1)) (/.f64 1 x))) |
(/.f64 (fma.f64 x x 1) x) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x x 1) x)) (sqrt.f64 (/.f64 (fma.f64 x x 1) x))) |
(/.f64 (fma.f64 x x 1) x) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (*.f64 (cbrt.f64 (fma.f64 x x 1)) (/.f64 1 x))) |
(/.f64 (fma.f64 x x 1) x) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 2)) |
(/.f64 (fma.f64 x x 1) x) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 2) (cbrt.f64 (/.f64 (fma.f64 x x 1) x))) |
(/.f64 (fma.f64 x x 1) x) |
(*.f64 (/.f64 1 x) (fma.f64 x x 1)) |
(/.f64 (fma.f64 x x 1) x) |
(*.f64 (neg.f64 (fma.f64 x x 1)) (/.f64 1 (neg.f64 x))) |
(/.f64 (fma.f64 x x 1) x) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 x x 1) (sqrt.f64 x))) |
(/.f64 (fma.f64 x x 1) x) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 x x 1) (cbrt.f64 x))) |
(/.f64 (fma.f64 x x 1) x) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x 1)) 1) (/.f64 (sqrt.f64 (fma.f64 x x 1)) x)) |
(/.f64 (fma.f64 x x 1) x) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 x x 1)) (cbrt.f64 x))) |
(/.f64 (fma.f64 x x 1) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x x 1)) x)) |
(/.f64 (fma.f64 x x 1) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 x x 1)) (sqrt.f64 x))) |
(/.f64 (fma.f64 x x 1) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 x x 1) x))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (cbrt.f64 (/.f64 (fma.f64 x x 1) x))) (pow.f64 (cbrt.f64 x) 2)) |
(pow.f64 (/.f64 (fma.f64 x x 1) x) 1) |
(/.f64 (fma.f64 x x 1) x) |
(pow.f64 (/.f64 x (fma.f64 x x 1)) -1) |
(/.f64 (fma.f64 x x 1) x) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x x 1) x)) 2) |
(/.f64 (fma.f64 x x 1) x) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 3) |
(/.f64 (fma.f64 x x 1) x) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 x x 1) x) 3) 1/3) |
(/.f64 (fma.f64 x x 1) x) |
(neg.f64 (/.f64 (fma.f64 x x 1) (neg.f64 x))) |
(/.f64 (fma.f64 x x 1) x) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x x 1) x) 2)) |
(/.f64 (fma.f64 x x 1) x) |
(log.f64 (exp.f64 (/.f64 (fma.f64 x x 1) x))) |
(/.f64 (fma.f64 x x 1) x) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x x 1) x)))) |
(/.f64 (fma.f64 x x 1) x) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x 1) x) 3)) |
(/.f64 (fma.f64 x x 1) x) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x x 1) x))) |
(/.f64 (fma.f64 x x 1) x) |
(exp.f64 (log.f64 (/.f64 (fma.f64 x x 1) x))) |
(/.f64 (fma.f64 x x 1) x) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x 1) x)) 1)) |
(/.f64 (fma.f64 x x 1) x) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x x 1) x))) |
(/.f64 (fma.f64 x x 1) x) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1)))) 1) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 x (/.f64 1 (fma.f64 x x 1))) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 1 (/.f64 x (fma.f64 x x 1))) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (/.f64 x (fma.f64 x x 1)) 1) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x x 1))) (sqrt.f64 (/.f64 x (fma.f64 x x 1)))) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2)) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (/.f64 1 (fma.f64 x x 1)) x) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (/.f64 1 (neg.f64 (fma.f64 x x 1))) (neg.f64 x)) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 1))) (/.f64 x (sqrt.f64 (fma.f64 x x 1)))) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x x 1)))) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x x 1))) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x 1))) (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x 1)))) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1)))) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x x 1))) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x x 1)))) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (fma.f64 x x 1)))) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (pow.f64 (fma.f64 x x 1) -1) (pow.f64 (/.f64 1 x) -1)) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 x x 1) x)) -1) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 x x 1) x)) -1)) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) -1)) |
(/.f64 x (fma.f64 x x 1)) |
(/.f64 x (fma.f64 x x 1)) |
(/.f64 1 (/.f64 (fma.f64 x x 1) x)) |
(/.f64 x (fma.f64 x x 1)) |
(/.f64 1 (/.f64 (/.f64 (fma.f64 x x 1) x) 1)) |
(/.f64 x (fma.f64 x x 1)) |
(/.f64 -1 (neg.f64 (/.f64 (fma.f64 x x 1) x))) |
(/.f64 x (fma.f64 x x 1)) |
(/.f64 (sqrt.f64 (/.f64 x (fma.f64 x x 1))) (sqrt.f64 (/.f64 (fma.f64 x x 1) x))) |
(/.f64 (sqrt.f64 x) (/.f64 (fma.f64 x x 1) (sqrt.f64 x))) |
(/.f64 x (fma.f64 x x 1)) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (fma.f64 x x 1) (cbrt.f64 x))) |
(/.f64 x (fma.f64 x x 1)) |
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 x x 1))) |
(/.f64 x (fma.f64 x x 1)) |
(/.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 1 x)) |
(/.f64 x (fma.f64 x x 1)) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 2)) (cbrt.f64 (/.f64 (fma.f64 x x 1) x))) |
(/.f64 x (fma.f64 x x 1)) |
(/.f64 (/.f64 x 1) (fma.f64 x x 1)) |
(/.f64 x (fma.f64 x x 1)) |
(/.f64 (/.f64 x (sqrt.f64 (fma.f64 x x 1))) (sqrt.f64 (fma.f64 x x 1))) |
(/.f64 x (fma.f64 x x 1)) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (fma.f64 x x 1))) |
(/.f64 x (fma.f64 x x 1)) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x x 1) x) -2)) |
(/.f64 x (fma.f64 x x 1)) |
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1)))) |
(/.f64 x (fma.f64 x x 1)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x x 1))))) |
(/.f64 x (fma.f64 x x 1)) |
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3)) |
(/.f64 x (fma.f64 x x 1)) |
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1)))) |
(/.f64 x (fma.f64 x x 1)) |
(exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1)))) |
(/.f64 x (fma.f64 x x 1)) |
(exp.f64 (-.f64 (log.f64 x) (log.f64 (fma.f64 x x 1)))) |
(/.f64 x (fma.f64 x x 1)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x x 1))) 1)) |
(/.f64 x (fma.f64 x x 1)) |
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1)))) |
(/.f64 x (fma.f64 x x 1)) |
Compiled 6118 to 4272 computations (30.2% saved)
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 333 | 2 | 335 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 2 | 3 |
| Total | 335 | 5 | 340 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (pow.f64 (+.f64 (/.f64 1 x) x) -1) |
| ▶ | 13.2b | (/.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 1 x)) |
| ✓ | 13.1b | (/.f64 x (+.f64 (*.f64 x x) 1)) |
| ✓ | 34.0b | (/.f64 1 x) |
| 28.4b | x |
Compiled 33 to 23 computations (30.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (/.f64 1 (fma.f64 x x 1)) |
| ✓ | 12.7b | (/.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 1 x)) |
Compiled 26 to 17 computations (34.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 1 (fma.f64 x x 1)) |
| 0.0ms | x | @ | inf | (/.f64 1 (fma.f64 x x 1)) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 1 x)) |
| 0.0ms | x | @ | -inf | (/.f64 1 (fma.f64 x x 1)) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 1858× | add-sqr-sqrt |
| 1842× | *-un-lft-identity |
| 1712× | add-cube-cbrt |
| 1690× | add-cbrt-cube |
| 188× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 42 |
| 1 | 191 | 30 |
| 2 | 2515 | 30 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 1 x)) |
(/.f64 1 (fma.f64 x x 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (fma.f64 x x 1))) (sqrt.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x 1) -1/2) (*.f64 (pow.f64 (fma.f64 x x 1) -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x 1))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 x x 1)) (/.f64 1 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (fma.f64 x x 1)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (fma.f64 x x 1)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 (/.f64 1 (fma.f64 x x 1)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (fma.f64 x x 1)) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 x x 1) -1/2) 1) (/.f64 (pow.f64 (fma.f64 x x 1) -1/2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 x x 1) -1/2) (cbrt.f64 (pow.f64 x -2))) (/.f64 (pow.f64 (fma.f64 x x 1) -1/2) (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) 1) (/.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x 1))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (pow.f64 x -1/2)) (/.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x 1))) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x 1) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x x 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x 1) -1/2) (pow.f64 (fma.f64 x x 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x 1))) (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x x 1)) -1) (pow.f64 (sqrt.f64 (fma.f64 x x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x 1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 x x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x x 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x x 1)))))))) |
| 1× | egg-herbie |
| 1068× | associate-/r* |
| 836× | associate-/l/ |
| 712× | *-commutative |
| 656× | times-frac |
| 582× | associate-/r/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 180 | 1948 |
| 1 | 457 | 1906 |
| 2 | 2178 | 1878 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4))) |
(+.f64 (*.f64 -1 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)))) |
(/.f64 1 (pow.f64 x 2)) |
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8)))) |
(/.f64 1 (pow.f64 x 2)) |
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1)))) 1) |
(*.f64 1 (/.f64 x (fma.f64 x x 1))) |
(*.f64 (/.f64 1 (fma.f64 x x 1)) x) |
(*.f64 (/.f64 x (fma.f64 x x 1)) 1) |
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x x 1))) (sqrt.f64 (/.f64 x (fma.f64 x x 1)))) |
(*.f64 (pow.f64 (fma.f64 x x 1) -1/2) (*.f64 (pow.f64 (fma.f64 x x 1) -1/2) x)) |
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x 1))) x)) |
(*.f64 x (/.f64 1 (fma.f64 x x 1))) |
(*.f64 (/.f64 -1 (fma.f64 x x 1)) (/.f64 1 (/.f64 -1 x))) |
(*.f64 (*.f64 (/.f64 1 (fma.f64 x x 1)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (/.f64 1 (fma.f64 x x 1)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 (/.f64 1 (fma.f64 x x 1)) (pow.f64 x -1/2))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 1 (cbrt.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (fma.f64 x x 1)) -1) (neg.f64 x)) |
(*.f64 (/.f64 (pow.f64 (fma.f64 x x 1) -1/2) 1) (/.f64 (pow.f64 (fma.f64 x x 1) -1/2) (/.f64 1 x))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 x x 1) -1/2) (cbrt.f64 (pow.f64 x -2))) (/.f64 (pow.f64 (fma.f64 x x 1) -1/2) (/.f64 1 (cbrt.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) 1) (/.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x 1))) (/.f64 1 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (pow.f64 x -1/2)) (/.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x 1))) (pow.f64 x -1/2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) |
(pow.f64 (/.f64 x (fma.f64 x x 1)) 1) |
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x x 1))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3) |
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3) |
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1) |
(neg.f64 (/.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 -1 x))) |
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2)) |
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x x 1))))) |
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1)))) |
(exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x x 1))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x x 1)))) 1) |
(*.f64 1 (/.f64 1 (fma.f64 x x 1))) |
(*.f64 (/.f64 1 (fma.f64 x x 1)) 1) |
(*.f64 (pow.f64 (fma.f64 x x 1) -1/2) (pow.f64 (fma.f64 x x 1) -1/2)) |
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x 1))) (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x x 1)))) |
(*.f64 -1 (/.f64 -1 (fma.f64 x x 1))) |
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x 1)) -1) (pow.f64 (sqrt.f64 (fma.f64 x x 1)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -1)) |
(pow.f64 (fma.f64 x x 1) -1) |
(pow.f64 (/.f64 1 (fma.f64 x x 1)) 1) |
(pow.f64 (pow.f64 (fma.f64 x x 1) -1/2) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x 1))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x x 1)) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 x x 1) -2)) |
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x x 1)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x x 1))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x 1)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x 1)))) |
(exp.f64 (neg.f64 (log.f64 (fma.f64 x x 1)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x x 1)) -1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x x 1))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x x 1)))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(fma.f64 -1 (pow.f64 x 3) x) |
(-.f64 x (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x)) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) |
(+.f64 (-.f64 x (pow.f64 x 3)) (pow.f64 x 5)) |
(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x))) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 (pow.f64 x 5) (fma.f64 -1 (pow.f64 x 7) x))) |
(+.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 7)) (-.f64 x (pow.f64 x 3))) |
(+.f64 x (-.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 3)) (pow.f64 x 7))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 -1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7))) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 7))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 -1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7))) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 7))))) |
1 |
(+.f64 1 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1 (neg.f64 (*.f64 x x))) |
(-.f64 1 (*.f64 x x)) |
(fma.f64 x (neg.f64 x) 1) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4))) |
(+.f64 1 (fma.f64 -1 (*.f64 x x) (pow.f64 x 4))) |
(+.f64 1 (-.f64 (pow.f64 x 4) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (fma.f64 x x -1) 1) |
(+.f64 (*.f64 -1 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)))) |
(fma.f64 -1 (pow.f64 x 6) (+.f64 1 (fma.f64 -1 (*.f64 x x) (pow.f64 x 4)))) |
(-.f64 (+.f64 1 (-.f64 (pow.f64 x 4) (*.f64 x x))) (pow.f64 x 6)) |
(fma.f64 (*.f64 x x) (fma.f64 x x -1) (-.f64 1 (pow.f64 x 6))) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))) |
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4))) |
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 -1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 8))))) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))) |
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4))) |
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 -1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 8))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1)))) 1) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 1 (/.f64 x (fma.f64 x x 1))) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (/.f64 1 (fma.f64 x x 1)) x) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (/.f64 x (fma.f64 x x 1)) 1) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x x 1))) (sqrt.f64 (/.f64 x (fma.f64 x x 1)))) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (pow.f64 (fma.f64 x x 1) -1/2) (*.f64 (pow.f64 (fma.f64 x x 1) -1/2) x)) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2)) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x 1))) x)) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (*.f64 x (cbrt.f64 (/.f64 1 (fma.f64 x x 1))))) |
(*.f64 x (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x x 1))))) |
(*.f64 x (/.f64 1 (fma.f64 x x 1))) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (/.f64 -1 (fma.f64 x x 1)) (/.f64 1 (/.f64 -1 x))) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (*.f64 (/.f64 1 (fma.f64 x x 1)) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (*.f64 (/.f64 1 (fma.f64 x x 1)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 (/.f64 1 (fma.f64 x x 1)) (pow.f64 x -1/2))) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 1 (cbrt.f64 x)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (*.f64 (/.f64 (/.f64 1 (fma.f64 x x 1)) 1) (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 (fma.f64 x x 1)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x)) |
(/.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 x -2)) (fma.f64 x x 1))) |
(*.f64 (/.f64 (/.f64 1 (fma.f64 x x 1)) -1) (neg.f64 x)) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (/.f64 (pow.f64 (fma.f64 x x 1) -1/2) 1) (/.f64 (pow.f64 (fma.f64 x x 1) -1/2) (/.f64 1 x))) |
(/.f64 x (fma.f64 x x 1)) |
(*.f64 (/.f64 (pow.f64 (fma.f64 x x 1) -1/2) (cbrt.f64 (pow.f64 x -2))) (/.f64 (pow.f64 (fma.f64 x x 1) -1/2) (/.f64 1 (cbrt.f64 x)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (*.f64 (/.f64 (/.f64 1 (fma.f64 x x 1)) 1) (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 1 (fma.f64 x x 1)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x)) |
(/.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 x -2)) (fma.f64 x x 1))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) 1) (/.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x 1))) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (*.f64 x (cbrt.f64 (/.f64 1 (fma.f64 x x 1))))) |
(*.f64 x (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x x 1))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (pow.f64 x -1/2)) (/.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x 1))) (pow.f64 x -1/2))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (*.f64 x (cbrt.f64 (/.f64 1 (fma.f64 x x 1))))) |
(*.f64 x (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x x 1))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) (cbrt.f64 (pow.f64 x -2))) |
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))) |
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (cbrt.f64 (pow.f64 x -2)))) |
(pow.f64 (/.f64 x (fma.f64 x x 1)) 1) |
(/.f64 x (fma.f64 x x 1)) |
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x x 1))) 2) |
(/.f64 x (fma.f64 x x 1)) |
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3) |
(/.f64 x (fma.f64 x x 1)) |
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3) |
(/.f64 x (fma.f64 x x 1)) |
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1) |
(/.f64 x (fma.f64 x x 1)) |
(neg.f64 (/.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 -1 x))) |
(/.f64 x (fma.f64 x x 1)) |
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2)) |
(/.f64 x (fma.f64 x x 1)) |
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1)))) |
(/.f64 x (fma.f64 x x 1)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x x 1))))) |
(/.f64 x (fma.f64 x x 1)) |
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3)) |
(/.f64 x (fma.f64 x x 1)) |
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1)))) |
(/.f64 x (fma.f64 x x 1)) |
(exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1)))) |
(/.f64 x (fma.f64 x x 1)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x x 1))) 1)) |
(/.f64 x (fma.f64 x x 1)) |
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1)))) |
(/.f64 x (fma.f64 x x 1)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x x 1)))) 1) |
(/.f64 1 (fma.f64 x x 1)) |
(*.f64 1 (/.f64 1 (fma.f64 x x 1))) |
(/.f64 1 (fma.f64 x x 1)) |
(*.f64 (/.f64 1 (fma.f64 x x 1)) 1) |
(/.f64 1 (fma.f64 x x 1)) |
(*.f64 (pow.f64 (fma.f64 x x 1) -1/2) (pow.f64 (fma.f64 x x 1) -1/2)) |
(/.f64 1 (fma.f64 x x 1)) |
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x 1))) (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x x 1)))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x x 1)))) |
(*.f64 -1 (/.f64 -1 (fma.f64 x x 1))) |
(/.f64 1 (fma.f64 x x 1)) |
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x 1)) -1) (pow.f64 (sqrt.f64 (fma.f64 x x 1)) -1)) |
(pow.f64 (sqrt.f64 (fma.f64 x x 1)) -2) |
(pow.f64 (hypot.f64 1 x) -2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 1 (cbrt.f64 (fma.f64 x x 1)))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (fma.f64 x x 1))) |
(pow.f64 (fma.f64 x x 1) -1) |
(/.f64 1 (fma.f64 x x 1)) |
(pow.f64 (/.f64 1 (fma.f64 x x 1)) 1) |
(/.f64 1 (fma.f64 x x 1)) |
(pow.f64 (pow.f64 (fma.f64 x x 1) -1/2) 2) |
(/.f64 1 (fma.f64 x x 1)) |
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x 1))) 3) |
(/.f64 1 (fma.f64 x x 1)) |
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x x 1)) 3) 1/3) |
(/.f64 1 (fma.f64 x x 1)) |
(sqrt.f64 (pow.f64 (fma.f64 x x 1) -2)) |
(/.f64 1 (fma.f64 x x 1)) |
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x x 1)))) |
(/.f64 1 (fma.f64 x x 1)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x x 1))))) |
(/.f64 1 (fma.f64 x x 1)) |
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x 1)) 3)) |
(/.f64 1 (fma.f64 x x 1)) |
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x 1)))) |
(/.f64 1 (fma.f64 x x 1)) |
(exp.f64 (neg.f64 (log.f64 (fma.f64 x x 1)))) |
(/.f64 1 (fma.f64 x x 1)) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x x 1)) -1)) |
(/.f64 1 (fma.f64 x x 1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x x 1))) 1)) |
(/.f64 1 (fma.f64 x x 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x x 1)))) |
(/.f64 1 (fma.f64 x x 1)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (pow.f64 (+.f64 (/.f64 1 x) x) -1) |
Compiled 19 to 13 computations (31.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (pow.f64 (+.f64 (/.f64 1 x) x) -1) |
| 0.0ms | x | @ | -inf | (pow.f64 (+.f64 (/.f64 1 x) x) -1) |
| 0.0ms | x | @ | inf | (pow.f64 (+.f64 (/.f64 1 x) x) -1) |
| 1× | batch-egg-rewrite |
| 1648× | add-sqr-sqrt |
| 1620× | *-un-lft-identity |
| 1522× | add-cube-cbrt |
| 1508× | add-cbrt-cube |
| 160× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 173 | 19 |
| 2 | 2134 | 19 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (+.f64 (/.f64 1 x) x) -1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -1/2) (pow.f64 (+.f64 x (/.f64 1 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x (/.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 x -2) (*.f64 x x))) (-.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (+.f64 (pow.f64 x -2) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) -1) (pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -1/2) (sqrt.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (/.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))))))) |
| 1× | egg-herbie |
| 1458× | associate-/l* |
| 1406× | associate-*r/ |
| 1006× | associate-/r* |
| 898× | associate-*l/ |
| 870× | unswap-sqr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 939 |
| 1 | 220 | 907 |
| 2 | 578 | 907 |
| 3 | 1910 | 907 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))) 1) |
(*.f64 1 (/.f64 1 (+.f64 x (/.f64 1 x)))) |
(*.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 1) |
(*.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -1/2) (pow.f64 (+.f64 x (/.f64 1 x)) -1/2)) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x (/.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 x (/.f64 1 x))))) |
(*.f64 (/.f64 1 (-.f64 (pow.f64 x -2) (*.f64 x x))) (-.f64 (/.f64 1 x) x)) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (+.f64 (pow.f64 x -2) (fma.f64 x x -1))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) -1) (pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) -1)) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 1 (/.f64 (+.f64 x (/.f64 1 x)) 1)) |
(/.f64 -1 (neg.f64 (+.f64 x (/.f64 1 x)))) |
(/.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -1/2) (sqrt.f64 (+.f64 x (/.f64 1 x)))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 x (/.f64 1 x)))) |
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 x (/.f64 1 x))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (/.f64 1 x)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(fma.f64 -1 (pow.f64 x 3) x) |
(-.f64 x (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x)) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) |
(+.f64 (-.f64 x (pow.f64 x 3)) (pow.f64 x 5)) |
(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x))) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 (pow.f64 x 5) (fma.f64 -1 (pow.f64 x 7) x))) |
(-.f64 (+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 7))) (pow.f64 x 3)) |
(+.f64 (-.f64 x (pow.f64 x 3)) (-.f64 (pow.f64 x 5) (pow.f64 x 7))) |
(+.f64 x (-.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 3) (pow.f64 x 7)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (/.f64 1 x) (/.f64 (pow.f64 x -2) x)) |
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 (pow.f64 x -2) x))) |
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 (pow.f64 x -2) x) (/.f64 -1 x))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 -1 (pow.f64 x 7)) (/.f64 (pow.f64 x -2) x)))) |
(+.f64 (/.f64 -1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 5))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (/.f64 1 x) (/.f64 (pow.f64 x -2) x)) |
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 (pow.f64 x -2) x))) |
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 (pow.f64 x -2) x) (/.f64 -1 x))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 -1 (pow.f64 x 7)) (/.f64 (pow.f64 x -2) x)))) |
(+.f64 (/.f64 -1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 5))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))) 1) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(*.f64 1 (/.f64 1 (+.f64 x (/.f64 1 x)))) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(*.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 1) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(*.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -1/2) (pow.f64 (+.f64 x (/.f64 1 x)) -1/2)) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x (/.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)) 1) (cbrt.f64 (+.f64 x (/.f64 1 x)))) |
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)) (cbrt.f64 (+.f64 x (/.f64 1 x)))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 x (/.f64 1 x))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)) 1) (cbrt.f64 (+.f64 x (/.f64 1 x)))) |
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)) (cbrt.f64 (+.f64 x (/.f64 1 x)))) |
(*.f64 (/.f64 1 (-.f64 (pow.f64 x -2) (*.f64 x x))) (-.f64 (/.f64 1 x) x)) |
(/.f64 (-.f64 (/.f64 1 x) x) (-.f64 (pow.f64 x -2) (*.f64 x x))) |
(/.f64 (-.f64 (/.f64 1 x) x) (fma.f64 x (neg.f64 x) (pow.f64 x -2))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (+.f64 (pow.f64 x -2) (fma.f64 x x -1))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x -3))) (+.f64 (pow.f64 x -2) (fma.f64 x x -1))) |
(/.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1)) (+.f64 (pow.f64 x 3) (pow.f64 x -3))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) -1) (pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) -1)) |
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) -2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) -1)) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(/.f64 1 (/.f64 (+.f64 x (/.f64 1 x)) 1)) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(/.f64 -1 (neg.f64 (+.f64 x (/.f64 1 x)))) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(/.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -1/2) (sqrt.f64 (+.f64 x (/.f64 1 x)))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 x (/.f64 1 x)))) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))))) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 3)) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(exp.f64 (neg.f64 (log.f64 (+.f64 x (/.f64 1 x))))) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (/.f64 1 x)))) 1)) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
Compiled 2351 to 1705 computations (27.5% saved)
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 176 | 1 | 177 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 3 | 3 |
| Total | 177 | 5 | 182 |
| Status | Error | Program |
|---|---|---|
| ✓ | 13.2b | (/.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 1 x)) |
| ✓ | 13.1b | (/.f64 x (+.f64 (*.f64 x x) 1)) |
| ▶ | 0.1b | (/.f64 1 (+.f64 x (/.f64 1 x))) |
| ✓ | 34.0b | (/.f64 1 x) |
| 28.4b | x |
Compiled 33 to 23 computations (30.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 1 (+.f64 x (/.f64 1 x))) |
Compiled 18 to 12 computations (33.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 1 (+.f64 x (/.f64 1 x))) |
| 0.0ms | x | @ | -inf | (/.f64 1 (+.f64 x (/.f64 1 x))) |
| 0.0ms | x | @ | inf | (/.f64 1 (+.f64 x (/.f64 1 x))) |
| 1× | batch-egg-rewrite |
| 1582× | add-sqr-sqrt |
| 1560× | *-un-lft-identity |
| 1464× | add-cube-cbrt |
| 1450× | add-cbrt-cube |
| 152× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 1 | 153 | 19 |
| 2 | 2039 | 19 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 x (/.f64 1 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -1/2) (pow.f64 (+.f64 x (/.f64 1 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)) (cbrt.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 x x) (pow.f64 x -2))) (-.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x -3))) (fma.f64 x x (+.f64 (pow.f64 x -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) -1) (pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (/.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))))))) |
| 1× | egg-herbie |
| 1730× | distribute-lft-in |
| 1710× | distribute-rgt-in |
| 1200× | associate-/r* |
| 1174× | associate-*r* |
| 974× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 993 |
| 1 | 231 | 973 |
| 2 | 747 | 967 |
| 3 | 3717 | 967 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))) 1) |
(*.f64 1 (/.f64 1 (+.f64 x (/.f64 1 x)))) |
(*.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 1) |
(*.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -1/2) (pow.f64 (+.f64 x (/.f64 1 x)) -1/2)) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)) (cbrt.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))) |
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 x (/.f64 1 x))))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 x x) (pow.f64 x -2))) (-.f64 x (/.f64 1 x))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x -3))) (fma.f64 x x (+.f64 (pow.f64 x -2) -1))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) -1) (pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) -1)) |
(pow.f64 (+.f64 x (/.f64 1 x)) -1) |
(pow.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 1) |
(pow.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -1/2) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 x (/.f64 1 x))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 1 x))) -1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (/.f64 1 x)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1 (pow.f64 x 3)) x) |
(fma.f64 -1 (pow.f64 x 3) x) |
(-.f64 x (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x)) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) |
(+.f64 (-.f64 x (pow.f64 x 3)) (pow.f64 x 5)) |
(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (*.f64 -1 (pow.f64 x 7)) x))) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 (pow.f64 x 5) (fma.f64 -1 (pow.f64 x 7) x))) |
(-.f64 (+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 7))) (pow.f64 x 3)) |
(+.f64 x (-.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 7)) (pow.f64 x 3))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 7)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))) |
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 7)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))) 1) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(*.f64 1 (/.f64 1 (+.f64 x (/.f64 1 x)))) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(*.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 1) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(*.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -1/2) (pow.f64 (+.f64 x (/.f64 1 x)) -1/2)) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2))) |
(*.f64 (cbrt.f64 (/.f64 -1 (-.f64 (/.f64 -1 x) x))) (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)) (cbrt.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2))) |
(*.f64 (cbrt.f64 (/.f64 -1 (-.f64 (/.f64 -1 x) x))) (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2))) |
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 x (/.f64 1 x))))) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(*.f64 (/.f64 1 (-.f64 (*.f64 x x) (pow.f64 x -2))) (-.f64 x (/.f64 1 x))) |
(/.f64 (+.f64 x (/.f64 -1 x)) (-.f64 (*.f64 x x) (pow.f64 x -2))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x -3))) (fma.f64 x x (+.f64 (pow.f64 x -2) -1))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x -3))) (fma.f64 x x (+.f64 -1 (pow.f64 x -2)))) |
(/.f64 (fma.f64 x x (+.f64 -1 (pow.f64 x -2))) (+.f64 (pow.f64 x 3) (pow.f64 x -3))) |
(/.f64 (+.f64 -1 (fma.f64 x x (pow.f64 x -2))) (+.f64 (pow.f64 x 3) (pow.f64 x -3))) |
(/.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1)) (+.f64 (pow.f64 x 3) (pow.f64 x -3))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) -1) (pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) -1)) |
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) -2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) -1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2)) (/.f64 1 (cbrt.f64 (+.f64 x (/.f64 1 x))))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 x (/.f64 1 x)))) |
(/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1 x))))) |
(pow.f64 (+.f64 x (/.f64 1 x)) -1) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(pow.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 1) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(pow.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -1/2) 2) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))) 3) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 3) 1/3) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -2)) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (/.f64 1 x)))))) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (/.f64 1 x))) 3)) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(exp.f64 (neg.f64 (log.f64 (+.f64 x (/.f64 1 x))))) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 1 x))) -1)) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (/.f64 1 x)))) 1)) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (/.f64 1 x))))) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 -1 (-.f64 (/.f64 -1 x) x)) |
Compiled 745 to 562 computations (24.6% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 60 | 0 | 60 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 60 | 5 | 65 |
| Status | Error | Program |
|---|---|---|
| ✓ | 13.2b | (/.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 1 x)) |
| ✓ | 13.1b | (/.f64 x (+.f64 (*.f64 x x) 1)) |
| ✓ | 0.1b | (/.f64 1 (+.f64 x (/.f64 1 x))) |
| ✓ | 34.0b | (/.f64 1 x) |
| 28.4b | x |
Compiled 33 to 23 computations (30.3% saved)
| Inputs |
|---|
x |
(/.f64 1 x) |
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(/.f64 x (+.f64 (*.f64 x x) 1)) |
(pow.f64 (+.f64 (/.f64 1 x) x) -1) |
(/.f64 (/.f64 1 (fma.f64 x x 1)) (/.f64 1 x)) |
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1) |
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) |
| Outputs |
|---|
(/.f64 1 (+.f64 x (/.f64 1 x))) |
2 calls:
| 8.0ms | (/.f64 x (+.f64 (*.f64 x x) 1)) |
| 5.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | (/.f64 x (+.f64 (*.f64 x x) 1)) |
Compiled 65 to 43 computations (33.8% saved)
Total -60.5b remaining (-6289.4%)
Threshold costs -60.5b (-6289.4%)
| Inputs |
|---|
x |
(/.f64 1 x) |
| Outputs |
|---|
(/.f64 1 x) |
x |
(/.f64 1 x) |
1 calls:
| 10.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.0b | 3 | x |
Compiled 7 to 4 computations (42.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 0.07528590857575004 | 24.65053372520299 |
| 17.0ms | -115.13749879149252 | -3.255666838568124e-10 |
| 25.0ms | 288× | body | 256 | valid |
Compiled 156 to 116 computations (25.6% saved)
| 1× | egg-herbie |
| 2× | 1-exp |
| 2× | +-commutative |
| 2× | if-if-or-not |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 53 |
| 1 | 24 | 53 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(if (<=.f64 x -1) (/.f64 1 x) (if (<=.f64 x 1) x (/.f64 1 x))) |
x |
| Outputs |
|---|
(/.f64 1 (+.f64 x (/.f64 1 x))) |
(if (<=.f64 x -1) (/.f64 1 x) (if (<=.f64 x 1) x (/.f64 1 x))) |
x |
Compiled 26 to 18 computations (30.8% saved)
| 1× | egg-herbie |
| 1458× | associate-/l* |
| 1406× | associate-*r/ |
| 1006× | associate-/r* |
| 898× | associate-*l/ |
| 870× | unswap-sqr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 939 |
| 1 | 220 | 907 |
| 2 | 578 | 907 |
| 3 | 1910 | 907 |
| 1× | node limit |
Compiled 28 to 22 computations (21.4% saved)
Compiled 24 to 16 computations (33.3% saved)
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