Time bar (total: 6.7s)
| 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 |
| 25% | 25% | 75% | 0% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 4 |
| 62.5% | 62.5% | 37.5% | 0% | 0% | 0% | 0% | 5 |
| 68.8% | 68.7% | 31.2% | 0% | 0% | 0% | 0% | 6 |
| 71.9% | 71.8% | 28.1% | 0% | 0% | 0% | 0% | 7 |
| 73.4% | 73.4% | 26.5% | 0% | 0% | 0% | 0% | 8 |
| 74.2% | 74.2% | 25.8% | 0% | 0% | 0% | 0% | 9 |
| 74.6% | 74.6% | 25.4% | 0% | 0% | 0% | 0% | 10 |
| 74.8% | 74.8% | 25.2% | 0% | 0% | 0% | 0% | 11 |
| 74.9% | 74.9% | 25.1% | 0% | 0% | 0% | 0% | 12 |
Compiled 11 to 8 computations (27.3% saved)
| 1.3s | 2598× | body | 1024 | valid |
| 700.0ms | 1228× | body | 2048 | valid |
| 426.0ms | 3116× | body | 256 | valid |
| 331.0ms | 1275× | body | 512 | valid |
| 25.0ms | 39× | body | 4096 | valid |
| 2× | egg-herbie |
| 4× | +-commutative |
| 2× | 1-exp |
| 2× | hypot-1-def |
| 2× | fma-def |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 16 | 17 |
| 2 | 17 | 17 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) |
| Outputs |
|---|
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) |
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1)))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
| 4× | +-commutative |
| 2× | 1-exp |
| 2× | hypot-1-def |
| 2× | fma-def |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 16 | 17 |
| 2 | 17 | 17 |
| 1× | saturated |
| Inputs |
|---|
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) |
| Outputs |
|---|
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) |
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1)))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
Compiled 24 to 16 computations (33.3% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 | 1 | 3 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 3 | 1 | 4 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 33.4% | (log.f64 (+.f64 x (hypot.f64 1 x))) |
Compiled 7 to 5 computations (28.6% saved)
Found 2 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 99.3% | (+.f64 x (hypot.f64 1 x)) |
| ✓ | 95.6% | (log.f64 (+.f64 x (hypot.f64 1 x))) |
Compiled 17 to 11 computations (35.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (log.f64 (+.f64 x (hypot.f64 1 x))) |
| 1.0ms | x | @ | -inf | (log.f64 (+.f64 x (hypot.f64 1 x))) |
| 1.0ms | x | @ | inf | (log.f64 (+.f64 x (hypot.f64 1 x))) |
| 0.0ms | x | @ | inf | (+.f64 x (hypot.f64 1 x)) |
| 0.0ms | x | @ | -inf | (+.f64 x (hypot.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 1604× | add-sqr-sqrt |
| 1590× | *-un-lft-identity |
| 1478× | add-cube-cbrt |
| 1462× | add-cbrt-cube |
| 1448× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 30 |
| 1 | 158 | 30 |
| 2 | 1952 | 30 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(+.f64 x (hypot.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x)))))) |
| 1× | egg-herbie |
| 1258× | associate-+l- |
| 1152× | fma-def |
| 1062× | associate-+r- |
| 916× | unswap-sqr |
| 542× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 216 | 2461 |
| 1 | 559 | 2087 |
| 2 | 2026 | 1941 |
| 3 | 7089 | 1941 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
1 |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x))) |
(*.f64 2 x) |
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) |
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x)))) |
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) |
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) |
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) |
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) |
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) |
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) |
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) |
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)) |
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)) |
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x)))) |
(*.f64 1 (+.f64 x (hypot.f64 1 x))) |
(*.f64 (+.f64 x (hypot.f64 1 x)) 1) |
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) |
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) |
(*.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x)))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) |
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))))) |
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) |
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x))))) |
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) |
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1) |
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2) |
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3) |
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3) |
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) |
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x)))) |
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) |
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x)))) |
(fma.f64 1 x (hypot.f64 1 x)) |
(fma.f64 1 (hypot.f64 1 x) x) |
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x)) |
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x)) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) |
(+.f64 (log.f64 2) (log.f64 x)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4))) |
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))))) |
(+.f64 (log.f64 2) (-.f64 (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4)))) |
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4))) |
(+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (log.f64 2) (/.f64 3/32 (pow.f64 x 4))))) |
(+.f64 (log.f64 2) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 -3/32 (pow.f64 x 4)))) (log.f64 x))) |
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (/.f64 -1/4 x) x))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))) |
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (+.f64 (log.f64 1/2) (+.f64 (/.f64 (/.f64 -1/4 x) x) (/.f64 -5/96 (pow.f64 x 6)))) (log.f64 (/.f64 -1 x)))) |
1 |
(+.f64 1 x) |
(+.f64 x 1) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x)) |
(+.f64 x (fma.f64 x (*.f64 x 1/2) 1)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 x))) |
(+.f64 (fma.f64 (pow.f64 x 4) -1/8 x) (fma.f64 x (*.f64 x 1/2) 1)) |
(*.f64 2 x) |
(*.f64 x 2) |
(+.f64 x x) |
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(fma.f64 2 x (/.f64 1/2 x)) |
(fma.f64 x 2 (/.f64 1/2 x)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3))) |
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 -1/8 (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x (/.f64 1/16 (pow.f64 x 5)))) (/.f64 1/8 (pow.f64 x 3))) |
(+.f64 (/.f64 1/2 x) (+.f64 (fma.f64 x 2 (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/8 (pow.f64 x 3)))) |
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3))))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) |
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/2 x)) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5)))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 5/128 (pow.f64 x 7)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))) |
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) |
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x)))) |
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x)))) |
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x)))) |
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x))) |
(/.f64 -1 (-.f64 x (hypot.f64 1 x))) |
(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(*.f64 1 (+.f64 x (hypot.f64 1 x))) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(*.f64 (+.f64 x (hypot.f64 1 x)) 1) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(*.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x)))) |
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x))) |
(/.f64 -1 (-.f64 x (hypot.f64 1 x))) |
(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) |
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x))) |
(/.f64 -1 (-.f64 x (hypot.f64 1 x))) |
(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) |
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x))) |
(/.f64 -1 (-.f64 x (hypot.f64 1 x))) |
(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (-.f64 x (hypot.f64 1 x)))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (+.f64 x (-.f64 x (hypot.f64 1 x))) 1)) |
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x)) |
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x))) |
(/.f64 -1 (-.f64 x (hypot.f64 1 x))) |
(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x)))) |
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x))) |
(/.f64 -1 (-.f64 x (hypot.f64 1 x))) |
(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) |
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x)))) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x)))) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(fma.f64 1 x (hypot.f64 1 x)) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(fma.f64 1 (hypot.f64 1 x) x) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x)) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x) |
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x)) |
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(+.f64 (+.f64 x (hypot.f64 1 x)) 0) |
(+.f64 x (hypot.f64 1 x)) |
Compiled 1894 to 1401 computations (26% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 130 | 7 | 137 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 130 | 8 | 138 |
| Status | Accuracy | Program |
|---|---|---|
| 33.4% | (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) | |
| ▶ | 46.5% | (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
| ▶ | 28.1% | (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) |
| ▶ | 24.5% | (log.f64 (/.f64 -1/2 x)) |
| ▶ | 30.6% | (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))) |
| ✓ | 33.4% | (log.f64 (+.f64 x (hypot.f64 1 x))) |
| ▶ | 29.7% | (log.f64 (+.f64 x x)) |
| 49.0% | x |
Compiled 107 to 82 computations (23.4% saved)
Found 2 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
| ✓ | 99.8% | (*.f64 -1/6 (pow.f64 x 3)) |
Compiled 19 to 14 computations (26.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | inf | (*.f64 -1/6 (pow.f64 x 3)) |
| 0.0ms | x | @ | 0 | (*.f64 -1/6 (pow.f64 x 3)) |
| 0.0ms | x | @ | -inf | (*.f64 -1/6 (pow.f64 x 3)) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
| 1× | batch-egg-rewrite |
| 1738× | add-sqr-sqrt |
| 1702× | *-un-lft-identity |
| 1614× | add-cube-cbrt |
| 1602× | add-cbrt-cube |
| 166× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 1 | 180 | 28 |
| 2 | 2169 | 28 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 3) (*.f64 -1/6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/6 (pow.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -1/6 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3))))))) |
| 1× | egg-herbie |
| 770× | associate-*r/ |
| 650× | +-commutative |
| 622× | associate-*l/ |
| 606× | associate--r+ |
| 558× | unswap-sqr |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 119 | 1289 |
| 1 | 287 | 1239 |
| 2 | 1151 | 1171 |
| 3 | 5258 | 1171 |
| 1× | node limit |
| Inputs |
|---|
x |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1) |
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) |
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2) |
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3) |
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36)) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))) |
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) |
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))) |
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1) |
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) |
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) |
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) |
(*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) |
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 3) (*.f64 -1/6 x))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) |
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1) |
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) |
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) |
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) |
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) |
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(fma.f64 (pow.f64 x 3) -1/6 x) |
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3))) |
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x) |
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3))) |
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3))) |
| Outputs |
|---|
x |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1) |
(*.f64 -1/6 (pow.f64 x 3)) |
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) |
(*.f64 -1/6 (pow.f64 x 3)) |
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2) |
(*.f64 -1/6 (pow.f64 x 3)) |
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3) |
(*.f64 -1/6 (pow.f64 x 3)) |
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3) |
(*.f64 -1/6 (pow.f64 x 3)) |
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36)) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))) |
(*.f64 -1/6 (pow.f64 x 3)) |
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) |
(*.f64 -1/6 (pow.f64 x 3)) |
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3)))) |
(*.f64 -1/6 (pow.f64 x 3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))) |
(*.f64 -1/6 (pow.f64 x 3)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) |
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x)) |
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) |
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x)) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))) |
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/6)) (*.f64 (pow.f64 x 6) 1/36))) |
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4))))) |
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) |
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x)) |
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))) |
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/6)) (*.f64 (pow.f64 x 6) 1/36))) |
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))) |
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x)) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))) |
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/6)) (*.f64 (pow.f64 x 6) 1/36))) |
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 3) (*.f64 -1/6 x))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))) |
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/6)) (*.f64 (pow.f64 x 6) 1/36))) |
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) |
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) |
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))) |
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/6)) (*.f64 (pow.f64 x 6) 1/36))) |
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4))))) |
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3)) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(fma.f64 (pow.f64 x 3) -1/6 x) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3))) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) x) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3))) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3))) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
Compiled 9 to 3 computations (66.7% saved)
Compiled 10 to 7 computations (30% saved)
Compiled 35 to 27 computations (22.9% saved)
Found 3 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
| ✓ | 96.5% | (-.f64 (hypot.f64 1 x) x) |
| ✓ | 95.6% | (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) |
Compiled 26 to 18 computations (30.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) |
| 0.0ms | x | @ | inf | (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) |
| 0.0ms | x | @ | -inf | (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) |
| 0.0ms | x | @ | inf | (-.f64 (hypot.f64 1 x) x) |
| 0.0ms | x | @ | -inf | (-.f64 (hypot.f64 1 x) x) |
| 1× | batch-egg-rewrite |
| 1892× | add-sqr-sqrt |
| 1874× | *-un-lft-identity |
| 1746× | add-cube-cbrt |
| 1728× | add-cbrt-cube |
| 184× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 53 |
| 1 | 187 | 53 |
| 2 | 2344 | 53 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) |
(-.f64 (hypot.f64 1 x) x) |
(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (log.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -1) (log.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 0 (+.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (*.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (hypot.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (hypot.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (hypot.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (neg.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (hypot.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1) (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (hypot.f64 1 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))))) |
| 1× | egg-herbie |
| 1522× | associate-/r* |
| 1398× | associate-/l* |
| 914× | associate-*r/ |
| 722× | +-commutative |
| 698× | associate-+l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 305 | 3606 |
| 1 | 835 | 3258 |
| 2 | 3314 | 3258 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1/8 (pow.f64 x 4))))) |
(/.f64 1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7))))) |
(*.f64 -2 x) |
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) |
1 |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x))) |
(*.f64 2 x) |
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 0 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) |
(+.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) |
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (log.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))) |
(-.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x))) |
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x)))) |
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 1) |
(*.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) |
(*.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1) |
(*.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) |
(*.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) |
(*.f64 -1 (log.f64 (-.f64 (hypot.f64 1 x) x))) |
(/.f64 (-.f64 0 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (-.f64 (hypot.f64 1 x) x))) |
(/.f64 (-.f64 0 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 0 (+.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (*.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) |
(pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1) |
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) |
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3) |
(pow.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3) |
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) |
(sqrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) |
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) |
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) |
(exp.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)) |
(log1p.f64 (-.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)) |
(+.f64 (hypot.f64 1 x) (neg.f64 x)) |
(+.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1)) |
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x)) |
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) |
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(+.f64 (neg.f64 x) (hypot.f64 1 x)) |
(*.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(*.f64 (-.f64 (hypot.f64 1 x) x) 1) |
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) |
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) |
(*.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x)))) |
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))) |
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))) |
(/.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) |
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)))) |
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) |
(/.f64 (-.f64 (hypot.f64 1 x) x) 1) |
(/.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) |
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (+.f64 x (hypot.f64 1 x))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))) |
(/.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x)) -1) |
(/.f64 (neg.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (neg.f64 (+.f64 x (hypot.f64 1 x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))) |
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x))))) |
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1) |
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) |
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3) |
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2)) |
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))) |
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x))) |
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)) |
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x))) |
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x)) |
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) 1) |
(*.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) |
(*.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1) |
(*.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) |
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) |
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 (hypot.f64 1 x) x)))) |
(*.f64 (/.f64 1 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (+.f64 x (hypot.f64 1 x))) |
(*.f64 (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1) (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -1)) |
(pow.f64 (-.f64 (hypot.f64 1 x) x) -1) |
(pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1) |
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3) 1/3) |
(pow.f64 (E.f64) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) |
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) |
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) |
(log.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) |
(exp.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) |
(+.f64 (log.f64 2) (log.f64 x)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 1/4 (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4))) |
(+.f64 (log.f64 x) (+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (/.f64 -3/32 (pow.f64 x 4)))) |
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4))) |
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 3/32 (pow.f64 x 4))))) |
(+.f64 (log.f64 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (+.f64 (log.f64 2) (/.f64 5/96 (pow.f64 x 6))) (/.f64 3/32 (pow.f64 x 4))))) |
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2))) (/.f64 1/4 (*.f64 x x))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))) |
(+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (/.f64 -1/4 x) x)))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))) |
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (/.f64 (/.f64 -1/4 x) x) (/.f64 5/96 (pow.f64 x 6)))))) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (neg.f64 x)) |
(-.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) |
(+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1/8 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 (pow.f64 x 4) -1/8)))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 4) -1/8) x))) |
(+.f64 1 (-.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/8)) x)) |
(/.f64 1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) |
(+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/8 (pow.f64 x 3))) |
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7))))) |
(-.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7)))) |
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7))))) |
(+.f64 (/.f64 1/2 x) (-.f64 (-.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/8 (pow.f64 x 3))) (/.f64 5/128 (pow.f64 x 7)))) |
(*.f64 -2 x) |
(*.f64 x -2) |
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 x -2) (/.f64 1/2 x)) |
(fma.f64 x -2 (/.f64 -1/2 x)) |
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (fma.f64 -2 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 x -2 (/.f64 -1/2 x))) |
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) |
(-.f64 (fma.f64 -2 x (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) |
(+.f64 (fma.f64 x -2 (/.f64 1/8 (pow.f64 x 3))) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5)))) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (fma.f64 x -2 (/.f64 -1/2 x)) (/.f64 1/16 (pow.f64 x 5)))) |
1 |
(+.f64 1 x) |
(+.f64 x 1) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 x))) |
(*.f64 2 x) |
(*.f64 x 2) |
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) |
(fma.f64 2 x (/.f64 1/2 x)) |
(fma.f64 x 2 (/.f64 1/2 x)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3))) |
(+.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x (/.f64 1/16 (pow.f64 x 5)))) (/.f64 1/8 (pow.f64 x 3))) |
(+.f64 (+.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/16 (pow.f64 x 5)))) (/.f64 -1/8 (pow.f64 x 3))) |
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3)))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x)))) |
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5)))) |
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(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(/.f64 -1 (-.f64 x (hypot.f64 1 x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))) |
(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(/.f64 -1 (-.f64 x (hypot.f64 1 x))) |
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3)) |
(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(/.f64 -1 (-.f64 x (hypot.f64 1 x))) |
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) |
(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(/.f64 -1 (-.f64 x (hypot.f64 1 x))) |
(exp.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) |
(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(/.f64 -1 (-.f64 x (hypot.f64 1 x))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1)) |
(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(/.f64 -1 (-.f64 x (hypot.f64 1 x))) |
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) |
(/.f64 1 (-.f64 (hypot.f64 1 x) x)) |
(/.f64 -1 (-.f64 x (hypot.f64 1 x))) |
Compiled 3961 to 3012 computations (24% saved)
9 alts after pruning (4 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 274 | 2 | 276 |
| Fresh | 0 | 2 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 5 | 5 |
| Total | 275 | 9 | 284 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 33.4% | (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) |
| ✓ | 46.5% | (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
| ▶ | 28.2% | (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) |
| ▶ | 25.3% | (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) |
| ✓ | 24.5% | (log.f64 (/.f64 -1/2 x)) |
| ✓ | 30.6% | (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))) |
| ✓ | 33.4% | (log.f64 (+.f64 x (hypot.f64 1 x))) |
| ✓ | 29.7% | (log.f64 (+.f64 x x)) |
| 49.0% | x |
Compiled 68 to 52 computations (23.5% saved)
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x))) |
Compiled 37 to 28 computations (24.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x))) |
| 0.0ms | x | @ | inf | (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x))) |
| 0.0ms | x | @ | -inf | (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x))) |
| 1× | batch-egg-rewrite |
| 1304× | associate-*r/ |
| 906× | *-commutative |
| 722× | associate-*l/ |
| 612× | associate-/r* |
| 410× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 221 | 21 |
| 2 | 2770 | 21 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (*.f64 x -2)) (*.f64 (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (/.f64 1/2 x)) (*.f64 (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (*.f64 4 (*.f64 x x))) (*.f64 (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (*.f64 (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (*.f64 4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 4 (*.f64 x x)))) (*.f64 (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (*.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -2) (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))) (*.f64 (/.f64 1/2 x) (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 x) (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))) (*.f64 (*.f64 x -2) (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 4 (*.f64 x x)) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (*.f64 (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (*.f64 (*.f64 4 (*.f64 x x)) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 4 (*.f64 x x))) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (*.f64 (*.f64 x (/.f64 -1 x)) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))) (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -2 (/.f64 1/2 x)) (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (fma.f64 x -2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 x -2 (/.f64 -1/2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (fma.f64 x -2 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) -1) (pow.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) -1) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))) (+.f64 (/.f64 -1/2 x) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (neg.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (pow.f64 (/.f64 -1/2 x) 3))) (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) (sqrt.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))) (sqrt.f64 (fma.f64 x -2 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) (sqrt.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (sqrt.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (neg.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))) (fma.f64 x -2 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (neg.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)) (cbrt.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))) (cbrt.f64 (fma.f64 x -2 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)) (cbrt.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (cbrt.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (+.f64 (*.f64 (*.f64 -8 (pow.f64 x 3)) (*.f64 -8 (pow.f64 x 3))) (*.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))) (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (-.f64 (pow.f64 (*.f64 -8 (pow.f64 x 3)) 3) (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3))) (+.f64 (*.f64 (*.f64 -8 (pow.f64 x 3)) (*.f64 -8 (pow.f64 x 3))) (*.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (*.f64 (*.f64 4 (*.f64 x x)) (*.f64 4 (*.f64 x x))) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 x 2)))) (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (pow.f64 (*.f64 4 (*.f64 x x)) 3) (pow.f64 (/.f64 1/4 (*.f64 x x)) 3))) (+.f64 (*.f64 (*.f64 4 (*.f64 x x)) (*.f64 4 (*.f64 x x))) (*.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 4 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))))))) |
| 1× | egg-herbie |
| 1458× | fma-def |
| 1010× | *-commutative |
| 958× | associate-*r/ |
| 866× | associate-/l* |
| 730× | associate-*l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 200 | 3342 |
| 1 | 634 | 3098 |
| 2 | 2184 | 3028 |
| 3 | 7971 | 3028 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -2 x) |
(+.f64 (*.f64 -2 x) (*.f64 8 (pow.f64 x 3))) |
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5)))) |
(+.f64 (*.f64 128 (pow.f64 x 7)) (+.f64 (*.f64 -2 x) (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5))))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5))))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5))))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5))))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5))))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (*.f64 x -2)) (*.f64 (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (/.f64 1/2 x))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (/.f64 1/2 x)) (*.f64 (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (*.f64 x -2))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (*.f64 4 (*.f64 x x))) (*.f64 (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (*.f64 (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (*.f64 4 (*.f64 x x)))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 4 (*.f64 x x)))) (*.f64 (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (*.f64 x (/.f64 -1 x)))) |
(+.f64 (*.f64 (*.f64 x -2) (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))) (*.f64 (/.f64 1/2 x) (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))))) |
(+.f64 (*.f64 (/.f64 1/2 x) (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))) (*.f64 (*.f64 x -2) (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))))) |
(+.f64 (*.f64 (*.f64 4 (*.f64 x x)) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (*.f64 (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))))) |
(+.f64 (*.f64 (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (*.f64 (*.f64 4 (*.f64 x x)) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))))) |
(+.f64 (*.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 4 (*.f64 x x))) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (*.f64 (*.f64 x (/.f64 -1 x)) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))) 1) |
(*.f64 1 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))) |
(*.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))) 1) |
(*.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2)) |
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))) (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))) |
(*.f64 (fma.f64 x -2 (/.f64 1/2 x)) (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))) |
(*.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) |
(*.f64 -1 (/.f64 -1 (fma.f64 x -2 (/.f64 -1/2 x)))) |
(*.f64 (/.f64 -1 (fma.f64 x -2 (/.f64 -1/2 x))) -1) |
(*.f64 (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (fma.f64 x -2 (/.f64 1/2 x))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))) |
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) -1) (pow.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) -1) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2) -1)) |
(*.f64 (/.f64 1 (neg.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))) (+.f64 (/.f64 -1/2 x) (*.f64 x 2))) |
(*.f64 (/.f64 1 (neg.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (neg.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (pow.f64 (/.f64 -1/2 x) 3))) (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (*.f64 x -2))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) (sqrt.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))) (sqrt.f64 (fma.f64 x -2 (/.f64 1/2 x)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) (sqrt.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (sqrt.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))) |
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))) (fma.f64 x -2 (/.f64 1/2 x))) |
(*.f64 (/.f64 -1 (neg.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)) (cbrt.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))) (cbrt.f64 (fma.f64 x -2 (/.f64 1/2 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)) (cbrt.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (cbrt.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))) |
(*.f64 (/.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (+.f64 (*.f64 (*.f64 -8 (pow.f64 x 3)) (*.f64 -8 (pow.f64 x 3))) (*.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))) (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3)))) |
(*.f64 (/.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (-.f64 (pow.f64 (*.f64 -8 (pow.f64 x 3)) 3) (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3))) (+.f64 (*.f64 (*.f64 -8 (pow.f64 x 3)) (*.f64 -8 (pow.f64 x 3))) (*.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3)))))) |
(*.f64 (/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (*.f64 (*.f64 4 (*.f64 x x)) (*.f64 4 (*.f64 x x))) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 x 2)))) (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 4 (*.f64 x x)))) |
(*.f64 (/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (pow.f64 (*.f64 4 (*.f64 x x)) 3) (pow.f64 (/.f64 1/4 (*.f64 x x)) 3))) (+.f64 (*.f64 (*.f64 4 (*.f64 x x)) (*.f64 4 (*.f64 x x))) (*.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 4 (*.f64 x x)))))) |
(pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1) |
(pow.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))) 1) |
(pow.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))) 3) |
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 3)) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)) |
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))) |
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))) |
(exp.f64 (neg.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))) |
| Outputs |
|---|
(*.f64 -2 x) |
(+.f64 (*.f64 -2 x) (*.f64 8 (pow.f64 x 3))) |
(fma.f64 -2 x (*.f64 8 (pow.f64 x 3))) |
(fma.f64 8 (pow.f64 x 3) (*.f64 -2 x)) |
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5)))) |
(fma.f64 -2 x (fma.f64 8 (pow.f64 x 3) (*.f64 -32 (pow.f64 x 5)))) |
(fma.f64 8 (pow.f64 x 3) (fma.f64 -32 (pow.f64 x 5) (*.f64 -2 x))) |
(+.f64 (*.f64 128 (pow.f64 x 7)) (+.f64 (*.f64 -2 x) (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5))))) |
(fma.f64 128 (pow.f64 x 7) (fma.f64 -2 x (fma.f64 8 (pow.f64 x 3) (*.f64 -32 (pow.f64 x 5))))) |
(fma.f64 128 (pow.f64 x 7) (fma.f64 8 (pow.f64 x 3) (fma.f64 -32 (pow.f64 x 5) (*.f64 -2 x)))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))) |
(-.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5))))) |
(-.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) (/.f64 1/32 (pow.f64 x 5))) |
(-.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/32 (pow.f64 x 5))) |
(+.f64 (-.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))) (/.f64 -1/32 (pow.f64 x 5))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5))))) |
(-.f64 (+.f64 (/.f64 1/128 (pow.f64 x 7)) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/32 (pow.f64 x 5)) (/.f64 1/2 x))) |
(+.f64 (/.f64 1/128 (pow.f64 x 7)) (-.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/32 (pow.f64 x 5)))) |
(+.f64 (/.f64 1/128 (pow.f64 x 7)) (+.f64 (-.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))) (/.f64 -1/32 (pow.f64 x 5)))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) |
(+.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))) |
(-.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5))))) |
(-.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) (/.f64 1/32 (pow.f64 x 5))) |
(-.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/32 (pow.f64 x 5))) |
(+.f64 (-.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))) (/.f64 -1/32 (pow.f64 x 5))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5))))) |
(-.f64 (+.f64 (/.f64 1/128 (pow.f64 x 7)) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/32 (pow.f64 x 5)) (/.f64 1/2 x))) |
(+.f64 (/.f64 1/128 (pow.f64 x 7)) (-.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/32 (pow.f64 x 5)))) |
(+.f64 (/.f64 1/128 (pow.f64 x 7)) (+.f64 (-.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))) (/.f64 -1/32 (pow.f64 x 5)))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (*.f64 x -2)) (*.f64 (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (/.f64 1/2 x))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (fma.f64 x -2 (/.f64 1/2 x))) |
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 4 (*.f64 x x) (/.f64 -1/4 (*.f64 x x)))) |
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 x (*.f64 x 4) (/.f64 -1/4 (*.f64 x x)))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (/.f64 1/2 x)) (*.f64 (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (*.f64 x -2))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (fma.f64 x -2 (/.f64 1/2 x))) |
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 4 (*.f64 x x) (/.f64 -1/4 (*.f64 x x)))) |
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 x (*.f64 x 4) (/.f64 -1/4 (*.f64 x x)))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (*.f64 4 (*.f64 x x))) (*.f64 (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))) |
(*.f64 (/.f64 1 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (fma.f64 4 (*.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))) |
(/.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)) (*.f64 x (*.f64 x 4))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3)))) |
(/.f64 (fma.f64 x (*.f64 x 4) (*.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3)))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (*.f64 (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (*.f64 4 (*.f64 x x)))) |
(*.f64 (/.f64 1 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (fma.f64 4 (*.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))) |
(/.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)) (*.f64 x (*.f64 x 4))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3)))) |
(/.f64 (fma.f64 x (*.f64 x 4) (*.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3)))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 4 (*.f64 x x)))) (*.f64 (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (*.f64 x (/.f64 -1 x)))) |
(*.f64 (/.f64 1 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (+.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))) (*.f64 x (/.f64 -1 x)))) |
(*.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (fma.f64 4 (*.f64 x x) (/.f64 1/4 (*.f64 x x))) (/.f64 (neg.f64 x) x))) |
(/.f64 (fma.f64 x (/.f64 -1 x) (fma.f64 x (*.f64 x 4) (/.f64 (/.f64 1/4 x) x))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3)))) |
(+.f64 (*.f64 (*.f64 x -2) (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))) (*.f64 (/.f64 1/2 x) (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (fma.f64 x -2 (/.f64 1/2 x))) |
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 4 (*.f64 x x) (/.f64 -1/4 (*.f64 x x)))) |
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 x (*.f64 x 4) (/.f64 -1/4 (*.f64 x x)))) |
(+.f64 (*.f64 (/.f64 1/2 x) (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))) (*.f64 (*.f64 x -2) (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (fma.f64 x -2 (/.f64 1/2 x))) |
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 4 (*.f64 x x) (/.f64 -1/4 (*.f64 x x)))) |
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 x (*.f64 x 4) (/.f64 -1/4 (*.f64 x x)))) |
(+.f64 (*.f64 (*.f64 4 (*.f64 x x)) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (*.f64 (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))))) |
(*.f64 (/.f64 1 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (fma.f64 4 (*.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))) |
(/.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)) (*.f64 x (*.f64 x 4))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3)))) |
(/.f64 (fma.f64 x (*.f64 x 4) (*.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3)))) |
(+.f64 (*.f64 (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (*.f64 (*.f64 4 (*.f64 x x)) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))))) |
(*.f64 (/.f64 1 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (fma.f64 4 (*.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))) |
(/.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)) (*.f64 x (*.f64 x 4))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3)))) |
(/.f64 (fma.f64 x (*.f64 x 4) (*.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3)))) |
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(*.f64 (+.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))) (/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (*.f64 16 (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 x 2))))) |
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (/.f64 (fma.f64 16 (*.f64 x (pow.f64 x 3)) (/.f64 -1/8 (*.f64 x (*.f64 2 (pow.f64 x 3))))) (fma.f64 4 (*.f64 x x) (/.f64 1/4 (*.f64 x x))))) |
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (/.f64 (fma.f64 16 (pow.f64 x 4) (/.f64 -1/16 (pow.f64 x 4))) (fma.f64 x (*.f64 x 4) (/.f64 (/.f64 1/4 x) x)))) |
(*.f64 (/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (pow.f64 (*.f64 4 (*.f64 x x)) 3) (pow.f64 (/.f64 1/4 (*.f64 x x)) 3))) (+.f64 (*.f64 (*.f64 4 (*.f64 x x)) (*.f64 4 (*.f64 x x))) (*.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 4 (*.f64 x x)))))) |
(*.f64 (/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (*.f64 64 (pow.f64 (*.f64 x x) 3)) (/.f64 1/64 (pow.f64 (*.f64 x x) 3)))) (+.f64 (*.f64 16 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))))) |
(*.f64 (/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 64 (pow.f64 x 6) (/.f64 -1/64 (pow.f64 x 6)))) (fma.f64 (/.f64 1/4 (*.f64 x x)) (fma.f64 4 (*.f64 x x) (/.f64 1/4 (*.f64 x x))) (*.f64 16 (*.f64 x (pow.f64 x 3))))) |
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (/.f64 (fma.f64 64 (pow.f64 x 6) (/.f64 -1/64 (pow.f64 x 6))) (fma.f64 (/.f64 (/.f64 1/4 x) x) (fma.f64 x (*.f64 x 4) (/.f64 (/.f64 1/4 x) x)) (*.f64 16 (pow.f64 x 4))))) |
(pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1) |
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))) |
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x))) |
(pow.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))) 1) |
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))) |
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x))) |
(pow.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) 2) |
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))) |
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x))) |
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))) 3) |
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))) |
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x))) |
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 3)) 1/3) |
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 3))) |
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) 3))) |
(sqrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)) |
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))) |
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x))) |
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))) |
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))) |
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))) |
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))) |
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x))) |
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 3))) |
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))) |
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))) |
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x))) |
(exp.f64 (neg.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) |
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))) |
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x))) |
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))) |
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))) |
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x))) |
Found 2 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| 96.5% | (-.f64 (hypot.f64 1 x) x) | |
| ✓ | 95.6% | (log.f64 (-.f64 (hypot.f64 1 x) x)) |
Compiled 24 to 16 computations (33.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (log.f64 (-.f64 (hypot.f64 1 x) x)) |
| 0.0ms | x | @ | inf | (log.f64 (-.f64 (hypot.f64 1 x) x)) |
| 0.0ms | x | @ | -inf | (log.f64 (-.f64 (hypot.f64 1 x) x)) |
| 1× | batch-egg-rewrite |
| 1624× | add-sqr-sqrt |
| 1610× | *-un-lft-identity |
| 1496× | add-cube-cbrt |
| 1480× | add-cbrt-cube |
| 160× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 159 | 17 |
| 2 | 1967 | 17 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (-.f64 (hypot.f64 1 x) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1)))))) |
| 1× | egg-herbie |
| 1066× | distribute-lft-in |
| 896× | associate-*r* |
| 862× | distribute-rgt-in |
| 850× | associate-+l- |
| 746× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 114 | 993 |
| 1 | 285 | 897 |
| 2 | 974 | 897 |
| 3 | 4199 | 897 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 x) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x)) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5)))) |
(+.f64 (*.f64 5/112 (pow.f64 x 7)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5))))) |
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) |
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) |
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) |
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) |
(-.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1) |
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) |
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1) |
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) |
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) |
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1) |
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) |
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) |
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) |
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) |
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) |
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) |
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)) |
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1)) |
| Outputs |
|---|
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x)) |
(fma.f64 1/6 (pow.f64 x 3) (neg.f64 x)) |
(-.f64 (*.f64 1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5)))) |
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (*.f64 -3/40 (pow.f64 x 5)))) |
(fma.f64 1/6 (pow.f64 x 3) (-.f64 (*.f64 -3/40 (pow.f64 x 5)) x)) |
(-.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -3/40 (pow.f64 x 5))) x) |
(+.f64 (*.f64 5/112 (pow.f64 x 7)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5))))) |
(fma.f64 5/112 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (*.f64 -3/40 (pow.f64 x 5))))) |
(fma.f64 5/112 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) (-.f64 (*.f64 -3/40 (pow.f64 x 5)) x))) |
(fma.f64 1/6 (pow.f64 x 3) (-.f64 (fma.f64 -3/40 (pow.f64 x 5) (*.f64 5/112 (pow.f64 x 7))) x)) |
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) |
(+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) |
(-.f64 (log.f64 1/2) (log.f64 x)) |
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (neg.f64 (log.f64 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (/.f64 -1/4 (*.f64 x x))) |
(+.f64 (log.f64 1/2) (-.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 x))) |
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (neg.f64 (log.f64 x)) (-.f64 (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 -1/4 (*.f64 x x)))) |
(+.f64 (log.f64 1/2) (+.f64 (-.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 x)) (/.f64 -1/4 (*.f64 x x)))) |
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (neg.f64 (log.f64 x)) (-.f64 (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) |
(-.f64 (-.f64 (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4))) (log.f64 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))) |
(+.f64 (+.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -5/96 (pow.f64 x 6))) (-.f64 (log.f64 1/2) (log.f64 x))) (/.f64 3/32 (pow.f64 x 4))) |
(+.f64 (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 x) (/.f64 -5/96 (pow.f64 x 6))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) |
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) |
(-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x))) |
(-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 2)) (log.f64 (/.f64 -1 x))) |
(+.f64 (log.f64 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4))) |
(-.f64 (-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 2)) (log.f64 (/.f64 -1 x))) (/.f64 3/32 (pow.f64 x 4))) |
(+.f64 (log.f64 2) (+.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x))) (/.f64 -3/32 (pow.f64 x 4)))) |
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 2) (-.f64 (/.f64 -3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 3/32 (pow.f64 x 4))) |
(+.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 -3/32 (pow.f64 x 4)))) |
(+.f64 (+.f64 (log.f64 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 -3/32 (pow.f64 x 4)))) |
(+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 -3/32 (pow.f64 x 4)) (-.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (log.f64 2))))) |
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x))) |
(log.f64 (-.f64 (hypot.f64 1 x) x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) |
(*.f64 3 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) |
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) |
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) |
(-.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(-.f64 (log.f64 (+.f64 1 (-.f64 (*.f64 x x) (*.f64 x x)))) (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log1p.f64 (*.f64 x (+.f64 x (+.f64 x (hypot.f64 1 x)))))) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1) |
(log.f64 (-.f64 (hypot.f64 1 x) x)) |
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) |
(log.f64 (-.f64 (hypot.f64 1 x) x)) |
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1) |
(log.f64 (-.f64 (hypot.f64 1 x) x)) |
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) |
(log.f64 (-.f64 (hypot.f64 1 x) x)) |
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) |
(log.f64 (-.f64 (hypot.f64 1 x) x)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) |
(log.f64 (-.f64 (hypot.f64 1 x) x)) |
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1) |
(log.f64 (-.f64 (hypot.f64 1 x) x)) |
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) |
(log.f64 (-.f64 (hypot.f64 1 x) x)) |
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) |
(log.f64 (-.f64 (hypot.f64 1 x) x)) |
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3) |
(log.f64 (-.f64 (hypot.f64 1 x) x)) |
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) |
(log.f64 (-.f64 (hypot.f64 1 x) x)) |
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) |
(log.f64 (-.f64 (hypot.f64 1 x) x)) |
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) |
(log.f64 (-.f64 (hypot.f64 1 x) x)) |
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) |
(log.f64 (-.f64 (hypot.f64 1 x) x)) |
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)) |
(log.f64 (-.f64 (hypot.f64 1 x) x)) |
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1)) |
(log1p.f64 (+.f64 (-.f64 (hypot.f64 1 x) x) -1)) |
(log1p.f64 (+.f64 -1 (-.f64 (hypot.f64 1 x) x))) |
Found 3 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| 99.3% | (+.f64 x (hypot.f64 1 x)) | |
| 95.6% | (log.f64 (+.f64 x (hypot.f64 1 x))) | |
| ✓ | 95.6% | (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) |
Compiled 35 to 25 computations (28.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) |
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) |
| 1× | batch-egg-rewrite |
| 1228× | associate-*r/ |
| 964× | associate-*l/ |
| 878× | distribute-lft-in |
| 876× | *-commutative |
| 334× | associate-+l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 29 |
| 1 | 220 | 17 |
| 2 | 3056 | 17 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (+.f64 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#<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1))))) |
| 1× | egg-herbie |
| 1586× | associate-/l* |
| 1288× | associate-/r* |
| 1220× | associate-*r/ |
| 904× | *-commutative |
| 710× | associate-*l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 299 | 7239 |
| 1 | 845 | 6949 |
| 2 | 3654 | 6931 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) |
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0) |
(+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1) |
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(+.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1) |
(+.f64 -1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 0)) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 0)) |
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) |
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(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (*.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) 1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (*.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) |
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) |
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) |
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) |
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(log.f64 (-.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) 1)) |
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) |
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1) |
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) |
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) |
(+.f64 (log.f64 2) (log.f64 x)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 x))) |
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4))) |
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))))) |
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4))) |
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 3/32 (pow.f64 x 4))))) |
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))) |
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (*.f64 x x)))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))) (/.f64 5/96 (pow.f64 x 6))))) |
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(+.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(+.f64 -1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) |
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) |
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) |
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 0)) |
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) |
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 0)) |
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) |
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) |
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) |
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) |
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 2 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) |
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (+.f64 1 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(*.f64 (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(*.f64 (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 2 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (-.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (-.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (-.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (-.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (-.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 4) (*.f64 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (-.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 4) (*.f64 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))) (-.f64 -2 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 -2 (log.f64 (+.f64 x (hypot.f64 1 x)))))) |
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(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (/.f64 (sqrt.f64 (+.f64 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 2 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) |
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (/.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 2 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (/.f64 (cbrt.f64 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) |
(/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (/.f64 (cbrt.f64 (+.f64 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (cbrt.f64 (+.f64 2 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (cbrt.f64 (+.f64 2 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 4) -1) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 4)) (*.f64 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) 1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (+.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 1) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) -1) (*.f64 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 4))))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 6)) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 4) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 6)) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 4)))) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) 1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 6) -1) (*.f64 (+.f64 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 6)) (*.f64 (+.f64 2 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 3) 1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 3) -1) (*.f64 (+.f64 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (+.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 6) 1) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 3)) (*.f64 (+.f64 2 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 6))))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 3)) (*.f64 (+.f64 2 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 6))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) 1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (*.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) 1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 2 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (sqrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 2 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (*.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 2 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) |
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) |
(fabs.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(log.f64 (-.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) 1)) |
(log.f64 (+.f64 (+.f64 x 1) (+.f64 (hypot.f64 1 x) -1))) |
(log.f64 (+.f64 -1 (+.f64 x (+.f64 1 (hypot.f64 1 x))))) |
(log.f64 (+.f64 (hypot.f64 1 x) (+.f64 x 0))) |
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) |
(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) |
(log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) |
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x)))) |
(fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
Compiled 13446 to 10494 computations (22% saved)
11 alts after pruning (4 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 595 | 3 | 598 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 6 | 7 |
| Total | 596 | 11 | 607 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 3.6% | (-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1) |
| ✓ | 33.4% | (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) |
| ▶ | 6.3% | (-.f64 (+.f64 1 x) 1) |
| ✓ | 46.5% | (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
| ✓ | 28.2% | (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) |
| ▶ | 25.3% | (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) |
| ✓ | 24.5% | (log.f64 (/.f64 -1/2 x)) |
| ✓ | 30.6% | (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))) |
| ✓ | 33.4% | (log.f64 (+.f64 x (hypot.f64 1 x))) |
| ✓ | 29.7% | (log.f64 (+.f64 x x)) |
| 49.0% | x |
Compiled 85 to 66 computations (22.4% saved)
Compiled 34 to 25 computations (26.5% saved)
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 95.6% | (-.f64 (+.f64 1 x) 1) |
Compiled 11 to 8 computations (27.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (-.f64 (+.f64 1 x) 1) |
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 1 x) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 x) 1) |
| 1× | batch-egg-rewrite |
| 1320× | add-sqr-sqrt |
| 1304× | *-un-lft-identity |
| 1228× | add-cube-cbrt |
| 1220× | add-cbrt-cube |
| 1212× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 135 | 1 |
| 2 | 1882 | 1 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 x) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 1 x) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1))))) |
| 1× | egg-herbie |
| 1410× | distribute-lft-in |
| 1220× | fma-def |
| 1198× | distribute-rgt-in |
| 640× | associate-+r+ |
| 542× | associate-/r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 421 |
| 1 | 228 | 379 |
| 2 | 1277 | 363 |
| 1× | node limit |
| Inputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(+.f64 1 (+.f64 x -1)) |
(+.f64 1 (*.f64 (+.f64 x -1) 1)) |
(+.f64 x 0) |
(+.f64 (+.f64 1 x) -1) |
(+.f64 (+.f64 x -1) 1) |
(+.f64 -1 (+.f64 1 x)) |
(*.f64 1 x) |
(*.f64 x 1) |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)) |
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2))) |
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) 1)) |
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 1 x) 3) -1))) |
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2)) |
(/.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 1 x) -1)) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1)))) |
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))) |
(pow.f64 x 1) |
(pow.f64 (sqrt.f64 x) 2) |
(pow.f64 (cbrt.f64 x) 3) |
(pow.f64 (pow.f64 x 3) 1/3) |
(sqrt.f64 (*.f64 x x)) |
(log.f64 (exp.f64 x)) |
(cbrt.f64 (pow.f64 x 3)) |
(expm1.f64 (log1p.f64 x)) |
(exp.f64 (log.f64 x)) |
(log1p.f64 (expm1.f64 x)) |
(fma.f64 1 (+.f64 1 x) -1) |
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1) |
| Outputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(+.f64 1 (+.f64 x -1)) |
x |
(+.f64 1 (*.f64 (+.f64 x -1) 1)) |
x |
(+.f64 x 0) |
x |
(+.f64 (+.f64 1 x) -1) |
x |
(+.f64 (+.f64 x -1) 1) |
x |
(+.f64 -1 (+.f64 1 x)) |
x |
(*.f64 1 x) |
x |
(*.f64 x 1) |
x |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
x |
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) |
x |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)) |
x |
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2))) |
x |
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 3))) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) 1)) |
x |
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))) |
x |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 1 x) 3) -1))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 3))) |
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2)) |
x |
(/.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 1 x) -1)) |
x |
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 3))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1)))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 3))) |
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1))) |
(/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x)) |
(/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x)) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1)))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (-.f64 2 x))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (fma.f64 (+.f64 x -1) (+.f64 x -2) 1)) |
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2))) |
x |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 3))) |
(pow.f64 x 1) |
x |
(pow.f64 (sqrt.f64 x) 2) |
x |
(pow.f64 (cbrt.f64 x) 3) |
x |
(pow.f64 (pow.f64 x 3) 1/3) |
x |
(sqrt.f64 (*.f64 x x)) |
x |
(log.f64 (exp.f64 x)) |
x |
(cbrt.f64 (pow.f64 x 3)) |
x |
(expm1.f64 (log1p.f64 x)) |
x |
(exp.f64 (log.f64 x)) |
x |
(log1p.f64 (expm1.f64 x)) |
x |
(fma.f64 1 (+.f64 1 x) -1) |
x |
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1) |
x |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1) |
x |
Found 4 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) |
| 100.0% | (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) | |
| 99.8% | (*.f64 -1/6 (pow.f64 x 3)) | |
| ✓ | 95.6% | (-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1) |
Compiled 40 to 31 computations (22.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1) |
| 0.0ms | x | @ | 0 | (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) |
| 0.0ms | x | @ | inf | (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) |
| 0.0ms | x | @ | -inf | (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1) |
| 1× | batch-egg-rewrite |
| 1582× | associate-*r/ |
| 1250× | associate-*l/ |
| 934× | *-commutative |
| 430× | associate-+l+ |
| 312× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 48 |
| 1 | 257 | 36 |
| 2 | 3415 | 36 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (+.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/6 (pow.f64 x 3)) (-.f64 (+.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -1/6 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) (+.f64 (+.f64 x -1) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 x) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 x) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (*.f64 -1/6 (pow.f64 x 3))) (+.f64 1 x))))) 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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))))) |
| 1× | egg-herbie |
| 1252× | associate-+l- |
| 1206× | associate-+r- |
| 978× | +-commutative |
| 494× | distribute-lft-in |
| 436× | distribute-rgt-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 517 | 12762 |
| 1 | 1358 | 11872 |
| 2 | 5791 | 11872 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
1 |
(+.f64 1 x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x)) |
(+.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1)) |
(+.f64 x (*.f64 -1/6 (pow.f64 x 3))) |
(+.f64 x (+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) -1)) |
(+.f64 x (+.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) 1)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x 0)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (+.f64 1 x) -1)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 (+.f64 x -1))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (+.f64 x -1) 1)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (-.f64 (+.f64 1 x) 1)) |
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0) |
(+.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) -1) |
(+.f64 0 (fma.f64 -1/6 (pow.f64 x 3) x)) |
(+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) (+.f64 x -1)) |
(+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) (+.f64 (+.f64 x -1) 0)) |
(+.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1) 1) |
(+.f64 -1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) |
(+.f64 (+.f64 1 x) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)) |
(+.f64 (+.f64 1 x) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) -1)) |
(+.f64 (+.f64 x -1) (+.f64 1 (*.f64 -1/6 (pow.f64 x 3)))) |
(+.f64 (+.f64 -1 (*.f64 -1/6 (pow.f64 x 3))) (+.f64 1 x)) |
(+.f64 (+.f64 -1 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3)))) x) |
(+.f64 (+.f64 -1 (+.f64 1 x)) (*.f64 -1/6 (pow.f64 x 3))) |
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) |
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1) |
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) |
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(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (fma.f64 -1/6 (pow.f64 x 3) x)))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (fma.f64 -1/6 (pow.f64 x 3) x))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (fma.f64 -1/6 (pow.f64 x 3) x))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (fma.f64 -1/6 (pow.f64 x 3) x)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (fma.f64 -1/6 (pow.f64 x 3) x)))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (fma.f64 -1/6 (pow.f64 x 3) x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) 1) 1) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) 1) (sqrt.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1))) (sqrt.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) 1) (*.f64 (cbrt.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1)) (cbrt.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1)))) (cbrt.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) 1) (+.f64 1 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (-.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)) |
(pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1) |
(pow.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)) |
(log.f64 (exp.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)) |
(expm1.f64 (log.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))) |
(exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) |
(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))) |
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x) 1) |
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
1 |
(+.f64 1 x) |
(+.f64 x 1) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x)) |
(fma.f64 -1/6 (pow.f64 x 3) (+.f64 x 1)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x)) |
(fma.f64 -1/6 (pow.f64 x 3) (+.f64 x 1)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x)) |
(fma.f64 -1/6 (pow.f64 x 3) (+.f64 x 1)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x)) |
(fma.f64 -1/6 (pow.f64 x 3) (+.f64 x 1)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x)) |
(fma.f64 -1/6 (pow.f64 x 3) (+.f64 x 1)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x)) |
(fma.f64 -1/6 (pow.f64 x 3) (+.f64 x 1)) |
(+.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1)) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 x (*.f64 -1/6 (pow.f64 x 3))) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 x (+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) -1)) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 x (+.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) 1)) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x 0)) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (+.f64 1 x) -1)) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 (+.f64 x -1))) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (+.f64 x -1) 1)) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (-.f64 (+.f64 1 x) 1)) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) -1) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 0 (fma.f64 -1/6 (pow.f64 x 3) x)) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) (+.f64 x -1)) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) (+.f64 (+.f64 x -1) 0)) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) -1) 1) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 -1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (+.f64 1 x) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (+.f64 1 x) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) -1)) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (+.f64 x -1) (+.f64 1 (*.f64 -1/6 (pow.f64 x 3)))) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (+.f64 -1 (*.f64 -1/6 (pow.f64 x 3))) (+.f64 1 x)) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (+.f64 -1 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3)))) x) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (+.f64 -1 (+.f64 1 x)) (*.f64 -1/6 (pow.f64 x 3))) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))) |
(*.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) -1) (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)) (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 x 1)) 2)) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) |
(*.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))) (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))) |
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/6)) (*.f64 (pow.f64 x 6) 1/36))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)) (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 2 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 x 1)) 3)) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 2 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 x 1)) 2)))) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))) (-.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1) (+.f64 1 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))))) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(*.f64 (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))) (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))) |
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/6)) (*.f64 (pow.f64 x 6) 1/36))) |
(*.f64 (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) -1)) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)) (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 x 1)) 2)) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) |
(*.f64 (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 2 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)))) (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)) (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 2 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 x 1)) 3)) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 2 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 x 1)) 2)))) |
(/.f64 1 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))) (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))) |
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/6)) (*.f64 (pow.f64 x 6) 1/36))) |
(/.f64 1 (/.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) -1))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)) (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 x 1)) 2)) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) |
(/.f64 1 (/.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 2 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))) (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)) (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 2 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 x 1)) 3)) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 2 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 x 1)) 2)))) |
(/.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) -1) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)) (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))) |
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (+.f64 x 1)) 2)) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) |
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))) (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))) |
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/6)) (*.f64 (pow.f64 x 6) 1/36))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 2 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)))) |
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(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1) |
(fma.f64 -1/6 (pow.f64 x 3) (+.f64 x 1)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1) |
(fma.f64 -1/6 (pow.f64 x 3) (+.f64 x 1)) |
Compiled 9898 to 7848 computations (20.7% saved)
16 alts after pruning (7 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 398 | 6 | 404 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 8 | 9 |
| Total | 399 | 16 | 415 |
| Status | Accuracy | Program |
|---|---|---|
| 47.9% | (/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x)) | |
| 5.2% | (/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x)) | |
| 47.9% | (/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2)) | |
| 47.8% | (/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))) | |
| ✓ | 3.6% | (-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1) |
| ✓ | 33.4% | (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) |
| 6.3% | (+.f64 (+.f64 x -1) 1) | |
| ✓ | 46.5% | (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
| 47.9% | (*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2))) | |
| ✓ | 28.2% | (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) |
| ✓ | 25.3% | (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) |
| ✓ | 24.5% | (log.f64 (/.f64 -1/2 x)) |
| ✓ | 30.6% | (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))) |
| ✓ | 33.4% | (log.f64 (+.f64 x (hypot.f64 1 x))) |
| ✓ | 29.7% | (log.f64 (+.f64 x x)) |
| 49.0% | x |
Compiled 145 to 110 computations (24.1% saved)
| Inputs |
|---|
x |
(+.f64 (+.f64 x -1) 1) |
(-.f64 (+.f64 1 x) 1) |
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2)) |
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2))) |
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))) |
(/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x)) |
(/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x)) |
(log.f64 (+.f64 x x)) |
(log.f64 (/.f64 -1/2 x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) |
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))) |
(log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) |
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) |
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) |
| Outputs |
|---|
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))) |
3 calls:
| 41.0ms | x |
| 16.0ms | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) |
| 8.0ms | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 3 | x |
| 89.4% | 3 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) |
| 89.4% | 3 | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) |
Compiled 183 to 133 computations (27.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 2.339324519500208e-6 | 559040.1293269584 |
| 22.0ms | -0.1659107235625169 | -1.395754879965964e-5 |
| 52.0ms | 288× | body | 256 | valid |
Compiled 376 to 300 computations (20.2% saved)
| Inputs |
|---|
x |
(+.f64 (+.f64 x -1) 1) |
(-.f64 (+.f64 1 x) 1) |
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2)) |
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2))) |
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))) |
(/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x)) |
(/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x)) |
(log.f64 (+.f64 x x)) |
(log.f64 (/.f64 -1/2 x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) |
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))) |
(log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) |
| Outputs |
|---|
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))) |
1 calls:
| 35.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 3 | x |
Compiled 137 to 100 computations (27% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 2.339324519500208e-6 | 559040.1293269584 |
| 19.0ms | -0.1659107235625169 | -1.395754879965964e-5 |
| 42.0ms | 288× | body | 256 | valid |
Compiled 368 to 292 computations (20.7% saved)
| Inputs |
|---|
x |
(+.f64 (+.f64 x -1) 1) |
(-.f64 (+.f64 1 x) 1) |
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2)) |
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2))) |
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))) |
(/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x)) |
(/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x)) |
(log.f64 (+.f64 x x)) |
(log.f64 (/.f64 -1/2 x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) |
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))) |
(log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
| Outputs |
|---|
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))) |
1 calls:
| 36.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 3 | x |
Compiled 130 to 95 computations (26.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 2.339324519500208e-6 | 559040.1293269584 |
| 41.0ms | -107.10458655255896 | -0.1659107235625169 |
| 58.0ms | 288× | body | 256 | valid |
Compiled 384 to 308 computations (19.8% saved)
| Inputs |
|---|
x |
(+.f64 (+.f64 x -1) 1) |
(-.f64 (+.f64 1 x) 1) |
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2)) |
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2))) |
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))) |
(/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x)) |
(/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x)) |
(log.f64 (+.f64 x x)) |
(log.f64 (/.f64 -1/2 x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) |
| Outputs |
|---|
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(log.f64 (+.f64 x x)) |
1 calls:
| 29.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 3 | x |
Compiled 93 to 66 computations (29% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 2.339324519500208e-6 | 559040.1293269584 |
| 17.0ms | -107.10458655255896 | -0.1659107235625169 |
| 38.0ms | 288× | body | 256 | valid |
Compiled 324 to 248 computations (23.5% saved)
| Inputs |
|---|
x |
(+.f64 (+.f64 x -1) 1) |
(-.f64 (+.f64 1 x) 1) |
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2)) |
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2))) |
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))) |
(/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x)) |
(/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x)) |
(log.f64 (+.f64 x x)) |
(log.f64 (/.f64 -1/2 x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
| Outputs |
|---|
(log.f64 (/.f64 -1/2 x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(log.f64 (+.f64 x x)) |
1 calls:
| 41.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 3 | x |
Compiled 84 to 59 computations (29.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 2.339324519500208e-6 | 559040.1293269584 |
| 27.0ms | -107.10458655255896 | -0.1659107235625169 |
| 31.0ms | 288× | body | 256 | valid |
Compiled 284 to 216 computations (23.9% saved)
| Inputs |
|---|
x |
(+.f64 (+.f64 x -1) 1) |
(-.f64 (+.f64 1 x) 1) |
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2)) |
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2))) |
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))) |
(/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x)) |
(/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x)) |
(log.f64 (+.f64 x x)) |
(log.f64 (/.f64 -1/2 x)) |
| Outputs |
|---|
(log.f64 (/.f64 -1/2 x)) |
x |
(log.f64 (+.f64 x x)) |
1 calls:
| 28.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 3 | x |
Compiled 77 to 54 computations (29.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 2.339324519500208e-6 | 559040.1293269584 |
| 17.0ms | -107.10458655255896 | -0.1659107235625169 |
| 34.0ms | 288× | body | 256 | valid |
Compiled 176 to 126 computations (28.4% saved)
| Inputs |
|---|
x |
(+.f64 (+.f64 x -1) 1) |
(-.f64 (+.f64 1 x) 1) |
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2)) |
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2))) |
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))) |
(/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x)) |
(/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x)) |
(log.f64 (+.f64 x x)) |
| Outputs |
|---|
x |
(log.f64 (+.f64 x x)) |
1 calls:
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.6% | 2 | x |
Compiled 73 to 51 computations (30.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 30.0ms | 2.339324519500208e-6 | 559040.1293269584 |
| 28.0ms | 160× | body | 256 | valid |
Compiled 104 to 70 computations (32.7% saved)
Total -28.0b remaining (-86%)
Threshold costs -28b (-86%)
| Inputs |
|---|
x |
(+.f64 (+.f64 x -1) 1) |
(-.f64 (+.f64 1 x) 1) |
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2)) |
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2))) |
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))) |
(/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x)) |
(/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x)) |
| Outputs |
|---|
x |
1 calls:
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.0% | 1 | x |
Compiled 69 to 49 computations (29% saved)
| 1× | egg-herbie |
| 16× | +-commutative |
| 16× | *-commutative |
| 12× | sub-neg |
| 8× | neg-mul-1 |
| 8× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 466 |
| 1 | 75 | 466 |
| 2 | 87 | 466 |
| 3 | 93 | 466 |
| 4 | 95 | 466 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x -4150517416584649/9223372036854775808) (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))))) |
(if (<=.f64 x -4150517416584649/4611686018427387904) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))))) |
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))))) |
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5674535530486825/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x)))) |
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x)))) |
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) x (log.f64 (+.f64 x x)))) |
(if (<=.f64 x 5674535530486825/4503599627370496) x (log.f64 (+.f64 x x))) |
x |
| Outputs |
|---|
(if (<=.f64 x -4150517416584649/9223372036854775808) (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))))) |
(if (<=.f64 x -4150517416584649/9223372036854775808) (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x)))))) |
(if (<=.f64 x -4150517416584649/4611686018427387904) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))))) |
(if (<=.f64 x -4150517416584649/4611686018427387904) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x)))))) |
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))))) |
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x)))))) |
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (+.f64 (*.f64 x -2) (/.f64 -1/2 x)))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x)))))) |
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5674535530486825/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x)))) |
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5674535530486825/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x x)))) |
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (+.f64 (*.f64 x -2) (/.f64 -1/2 x)))) (if (<=.f64 x 5674535530486825/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x x)))) |
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x)))) |
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x x)))) |
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) x (log.f64 (+.f64 x x)))) |
(if (<=.f64 x 5674535530486825/4503599627370496) x (log.f64 (+.f64 x x))) |
x |
Compiled 185 to 135 computations (27% saved)
| 4× | egg-herbie |
| 1258× | associate-+l- |
| 1152× | fma-def |
| 1062× | associate-+r- |
| 916× | unswap-sqr |
| 542× | associate-+l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 16 | 17 |
| 2 | 17 | 17 |
| 0 | 216 | 2461 |
| 1 | 559 | 2087 |
| 2 | 2026 | 1941 |
| 3 | 7089 | 1941 |
| 0 | 10 | 23 |
| 1 | 16 | 17 |
| 2 | 17 | 17 |
| 0 | 10 | 23 |
| 1 | 16 | 17 |
| 2 | 17 | 17 |
| 1× | saturated |
| 1× | saturated |
| 1× | node limit |
| 1× | saturated |
Compiled 239 to 158 computations (33.9% saved)
Compiled 178 to 122 computations (31.5% saved)
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