Time bar (total: 4.4s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 50% | 50% | 0% | 2 |
| 50% | 50% | 0% | 3 |
| 62.5% | 37.5% | 0% | 4 |
| 68.7% | 31.2% | 0% | 5 |
| 71.8% | 28.1% | 0% | 6 |
| 73.4% | 26.5% | 0% | 7 |
| 74.2% | 25.8% | 0% | 8 |
| 74.6% | 25.4% | 0% | 9 |
| 74.8% | 25.2% | 0% | 10 |
| 74.9% | 25.1% | 0% | 11 |
| 74.9% | 25% | 0% | 12 |
| 74.9% | 25% | 0% | 13 |
| 75% | 25% | 0% | 14 |
Compiled 11 to 8 computations (27.3% saved)
| 1.6s | 2604× | body | 1024 | valid |
| 752.0ms | 1232× | body | 2048 | valid |
| 464.0ms | 1290× | body | 512 | valid |
| 302.0ms | 2451× | body | 128 | valid |
| 191.0ms | 641× | body | 256 | valid |
| 33.0ms | 38× | body | 4096 | valid |
Compiled 22 to 16 computations (27.3% saved)
| 2× | egg-herbie |
| 2× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
| 1× | hypot-1-def_binary64 |
| 1× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 13 | 9 |
| 2 | 14 | 9 |
| 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 10 to 7 computations (30% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
| 1× | hypot-1-def_binary64 |
| 1× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 13 | 9 |
| 2 | 14 | 9 |
| 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))) |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 47.4b | (log.f64 (+.f64 x (hypot.f64 1 x))) |
Compiled 30 to 21 computations (30% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (hypot.f64 1 x) |
| ✓ | 0.8b | (+.f64 x (hypot.f64 1 x)) |
| ✓ | 1.9b | (log.f64 (+.f64 x (hypot.f64 1 x))) |
9 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))) |
| 1.0ms | x | @ | -inf | (+.f64 x (hypot.f64 1 x)) |
| 0.0ms | x | @ | inf | (+.f64 x (hypot.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 619× | pow1_binary64 |
| 575× | add-log-exp_binary64 |
| 575× | log1p-expm1-u_binary64 |
| 575× | expm1-log1p-u_binary64 |
| 62× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 20 |
| 1 | 121 | 20 |
| 2 | 1555 | 20 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(+.f64 x (hypot.f64 1 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 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (hypot.f64 1 x) 2))) (log.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 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 (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 *.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 pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(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 pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (#(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 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 log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))))) (#(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 -.f64 (exp.f64 (log1p.f64 (+.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 (pow.f64 (hypot.f64 1 x) 2) (-.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 (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 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.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 (-.f64 (*.f64 x x) (pow.f64 (hypot.f64 1 x) 2)) (/.f64 1 (-.f64 x (hypot.f64 1 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 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (pow.f64 (hypot.f64 1 x) 2))))))) (#(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 (pow.f64 (hypot.f64 1 x) 2) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (hypot.f64 1 x) 2)) (-.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 /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (hypot.f64 1 x) 2))) (neg.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 2) (*.f64 x 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 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(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 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)))) (#(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 (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 log.f64 (+.f64 1 (expm1.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 log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))))) (#(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 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 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 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)) 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 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 1 x)) (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 1 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 1 x))))))) |
| 1× | egg-herbie |
| 447× | cancel-sign-sub-inv_binary64 |
| 436× | fma-neg_binary64 |
| 413× | associate-/r*_binary64 |
| 338× | sub-neg_binary64 |
| 314× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 98 | 569 |
| 1 | 306 | 549 |
| 2 | 863 | 537 |
| 3 | 2779 | 537 |
| 1× | node limit |
| Inputs |
|---|
x |
(-.f64 x (*.f64 1/6 (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 3/40 (pow.f64 x 5)) x) (*.f64 1/6 (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 3/40 (pow.f64 x 5)) x) (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))) |
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x))) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (log.f64 (/.f64 1 x))) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (log.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (log.f64 (/.f64 1 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 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (+.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 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) (*.f64 1/8 (pow.f64 x 4))) |
(*.f64 2 x) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x))) (*.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 5/128 (/.f64 1 (pow.f64 x 7))) (*.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)))) |
1 |
(+.f64 1 (*.f64 1/2 (pow.f64 x 2))) |
(-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (*.f64 1/8 (pow.f64 x 4))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))) (*.f64 1/8 (pow.f64 x 4))) |
x |
(+.f64 (*.f64 1/2 (/.f64 1 x)) x) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(*.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x)) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) x)) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) x))) |
| Outputs |
|---|
x |
(-.f64 x (*.f64 1/6 (pow.f64 x 3))) |
(+.f64 x (*.f64 -1/6 (pow.f64 x 3))) |
(+.f64 x (*.f64 (pow.f64 x 3) -1/6)) |
(fma.f64 (pow.f64 x 3) -1/6 x) |
(-.f64 (+.f64 (*.f64 3/40 (pow.f64 x 5)) x) (*.f64 1/6 (pow.f64 x 3))) |
(+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) |
(+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 (pow.f64 x 3) -1/6)) |
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 3/40 (pow.f64 x 5) x)) |
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 x)) |
(-.f64 (+.f64 (*.f64 3/40 (pow.f64 x 5)) x) (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))) |
(-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 5/112 (pow.f64 x 7) (*.f64 1/6 (pow.f64 x 3)))) |
(-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 1/6 (pow.f64 x 3) (*.f64 5/112 (pow.f64 x 7)))) |
(+.f64 x (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))) |
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x))) |
(-.f64 (log.f64 2) (neg.f64 (log.f64 x))) |
(+.f64 (log.f64 2) (log.f64 x)) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (log.f64 (/.f64 1 x))) |
(-.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (neg.f64 (log.f64 x))) |
(+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 x))) |
(-.f64 (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (neg.f64 (log.f64 x)) (/.f64 3/32 (pow.f64 x 4))))) |
(+.f64 (log.f64 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 x)))) |
(+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4))))) |
(-.f64 (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (log.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (/.f64 5/96 (pow.f64 x 6))) (+.f64 (neg.f64 (log.f64 x)) (/.f64 3/32 (pow.f64 x 4)))) |
(+.f64 (+.f64 (log.f64 2) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 x)))) |
(+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4)))))) |
(+.f64 (log.f64 2) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (log.f64 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 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))) |
(+.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x)))) |
(+.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 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.f64 -1/4 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (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 (/.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 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -5/96 (pow.f64 x 6)))))) |
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 (*.f64 x x) 1/2 1)) |
(+.f64 1 (fma.f64 (*.f64 x x) 1/2 x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) (*.f64 1/8 (pow.f64 x 4))) |
(+.f64 1 (-.f64 (fma.f64 1/2 (*.f64 x x) x) (*.f64 (pow.f64 x 4) 1/8))) |
(+.f64 1 (+.f64 (fma.f64 (*.f64 x x) 1/2 x) (*.f64 (pow.f64 x 4) -1/8))) |
(+.f64 x (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 (*.f64 x x) 1/2 1))) |
(-.f64 (fma.f64 (*.f64 x x) 1/2 x) (fma.f64 (pow.f64 x 4) 1/8 -1)) |
(*.f64 2 x) |
(*.f64 x 2) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) |
(+.f64 (*.f64 x 2) (/.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 (/.f64 1/2 x) (-.f64 (*.f64 x 2) (/.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 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (+.f64 (*.f64 x 2) (/.f64 1/2 x)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3))) |
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (-.f64 (/.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 1/2 x) (-.f64 (fma.f64 x 2 (/.f64 1/16 (pow.f64 x 5))) (/.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 5/128 (/.f64 1 (pow.f64 x 7))) (*.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 5/128 (pow.f64 x 7)) (-.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 (/.f64 5/128 (pow.f64 x 7)) (/.f64 1/16 (pow.f64 x 5)))) (/.f64 -1/2 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 (/.f64 5/128 (pow.f64 x 7)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/2 x))) |
1 |
(+.f64 1 (*.f64 1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 (*.f64 x x) 1/2)) |
(fma.f64 (*.f64 x x) 1/2 1) |
(-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (*.f64 1/8 (pow.f64 x 4))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 (pow.f64 x 4) 1/8))) |
(+.f64 (fma.f64 (*.f64 x x) 1/2 1) (*.f64 (pow.f64 x 4) -1/8)) |
(fma.f64 (pow.f64 x 4) -1/8 (fma.f64 (*.f64 x x) 1/2 1)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))) (*.f64 1/8 (pow.f64 x 4))) |
(+.f64 1 (-.f64 (fma.f64 1/16 (pow.f64 x 6) (*.f64 (*.f64 x x) 1/2)) (*.f64 (pow.f64 x 4) 1/8))) |
(+.f64 (fma.f64 (*.f64 x x) 1/2 (*.f64 (pow.f64 x 6) 1/16)) (-.f64 1 (*.f64 (pow.f64 x 4) 1/8))) |
(fma.f64 (pow.f64 x 4) -1/8 (fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 6) 1/16 1))) |
(fma.f64 (pow.f64 x 4) -1/8 (fma.f64 (pow.f64 x 6) 1/16 (fma.f64 (*.f64 x x) 1/2 1))) |
x |
(+.f64 (*.f64 1/2 (/.f64 1 x)) x) |
(+.f64 x (/.f64 1/2 x)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1/2 x) (-.f64 x (/.f64 1/8 (pow.f64 x 3)))) |
(+.f64 x (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))) |
(+.f64 (+.f64 x (/.f64 1/2 x)) (/.f64 -1/8 (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 x (/.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 x (/.f64 -1/8 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/16 (pow.f64 x 5)))) (/.f64 -1/8 (pow.f64 x 3))) |
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 x (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3)))) |
(*.f64 -1 x) |
(neg.f64 x) |
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x)) |
(neg.f64 (+.f64 x (/.f64 1/2 x))) |
(-.f64 (/.f64 -1/2 x) x) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) x)) |
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 x (/.f64 1/2 x))) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) x)) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) x))) |
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 x (/.f64 1/2 x)))) |
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))) (-.f64 (/.f64 -1/2 x) x)) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5))) x)) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (+.f64 x (/.f64 1/16 (pow.f64 x 5))))) |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 137 | 2 | 139 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 137 | 3 | 140 |
| Status | Error | Program |
|---|---|---|
| ✓ | 47.4b | (log.f64 (+.f64 x (hypot.f64 1 x))) |
| 44.8b | (log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))) | |
| ▶ | 32.5b | (+.f64 x (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))) |
Compiled 1886 to 1429 computations (24.2% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (pow.f64 x 7) -5/112) |
| ✓ | 0.1b | (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) |
| ✓ | 23.6b | (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))) |
| 1.0ms | x | @ | 0 | (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))) |
| 1.0ms | x | @ | inf | (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) |
| 1.0ms | x | @ | -inf | (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))) |
| 1.0ms | x | @ | 0 | (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) |
| 1× | batch-egg-rewrite |
| 518× | log-prod_binary64 |
| 237× | expm1-udef_binary64 |
| 237× | log1p-udef_binary64 |
| 192× | log-pow_binary64 |
| 163× | prod-diff_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 42 |
| 1 | 305 | 42 |
| 2 | 3158 | 42 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))) |
(fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) |
(*.f64 (pow.f64 x 7) -5/112) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3/40 (pow.f64 x 5)) 1) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/6)) (*.f64 (pow.f64 x 7) -5/112))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))))) (cbrt.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))) 2) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3) (pow.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) 3)) (fma.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 3/40 (pow.f64 x 5)) (-.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) 2) (*.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 3/40 (pow.f64 x 5))) (pow.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) 2)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 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7) -5/112))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 7) -5/112) (*.f64 (pow.f64 x 3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) -1/6) (*.f64 (pow.f64 x 7) -5/112))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 x 3) -1/6) 1) (*.f64 (pow.f64 x 7) -5/112))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))) (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))) 2) (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))) (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/6) 3) (pow.f64 (*.f64 (pow.f64 x 7) -5/112) 3)) (fma.f64 (*.f64 (pow.f64 x 3) -1/6) (*.f64 (pow.f64 x 3) -1/6) (-.f64 (*.f64 25/12544 (pow.f64 x 14)) (*.f64 (*.f64 (pow.f64 x 3) -1/6) (*.f64 (pow.f64 x 7) -5/112)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 (pow.f64 x 3) -1/6) (*.f64 (pow.f64 x 3) -1/6) (neg.f64 (*.f64 25/12544 (pow.f64 x 14)))) (-.f64 (*.f64 (pow.f64 x 3) -1/6) (*.f64 (pow.f64 x 7) -5/112)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)) (exp.f64 (*.f64 (pow.f64 x 3) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 7) -5/112))) (exp.f64 (*.f64 (pow.f64 x 3) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (pow.f64 x 3) -1/6)) (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 7) -5/112)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 x 7) -5/112))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7))) (cbrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 7) -5/112))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 7) -5/112) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 7) -5/112) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 7) -5/112)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -5/112) (pow.f64 x 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 25/12544 (pow.f64 x 14)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 7) -5/112))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 7) -5/112) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 7) -5/112)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 7) -5/112)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 7) -5/112)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 7) -5/112)) 1)))))) |
| 1× | egg-herbie |
| 985× | fma-def_binary64 |
| 955× | fma-neg_binary64 |
| 464× | cancel-sign-sub-inv_binary64 |
| 409× | distribute-rgt-neg-in_binary64 |
| 311× | distribute-lft-neg-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 456 |
| 1 | 64 | 450 |
| 2 | 155 | 420 |
| 3 | 478 | 420 |
| 4 | 1463 | 420 |
| 5 | 3239 | 420 |
| 6 | 4951 | 420 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/6 (pow.f64 x 3)) |
(-.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))) |
(-.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))) |
(-.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))) |
(*.f64 -5/112 (pow.f64 x 7)) |
(-.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 5/112 (pow.f64 x 7))) |
(-.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))) |
(-.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))) |
(*.f64 -5/112 (pow.f64 x 7)) |
(-.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 5/112 (pow.f64 x 7))) |
(-.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))) |
(-.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))) |
(*.f64 -1/6 (pow.f64 x 3)) |
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))) |
(*.f64 -5/112 (pow.f64 x 7)) |
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))) |
(*.f64 -5/112 (pow.f64 x 7)) |
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))) |
(*.f64 -5/112 (pow.f64 x 7)) |
(*.f64 -5/112 (pow.f64 x 7)) |
(*.f64 -5/112 (pow.f64 x 7)) |
(*.f64 -5/112 (pow.f64 x 7)) |
(*.f64 -5/112 (pow.f64 x 7)) |
(*.f64 -5/112 (pow.f64 x 7)) |
(*.f64 -5/112 (pow.f64 x 7)) |
(*.f64 -5/112 (pow.f64 x 7)) |
(*.f64 -5/112 (pow.f64 x 7)) |
(*.f64 -5/112 (pow.f64 x 7)) |
(*.f64 -5/112 (pow.f64 x 7)) |
(*.f64 -5/112 (pow.f64 x 7)) |
| Outputs |
|---|
(*.f64 -1/6 (pow.f64 x 3)) |
(-.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))) |
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3))) |
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) |
(-.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))) |
(-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 5/112 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/6))) |
(+.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 (pow.f64 x 7) -5/112)) (*.f64 -1/6 (pow.f64 x 3))) |
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 7) -5/112))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 (pow.f64 x 7) -5/112 (*.f64 3/40 (pow.f64 x 5)))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (*.f64 (pow.f64 x 7) -5/112))) |
(-.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))) |
(-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 5/112 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/6))) |
(+.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 (pow.f64 x 7) -5/112)) (*.f64 -1/6 (pow.f64 x 3))) |
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 7) -5/112))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 (pow.f64 x 7) -5/112 (*.f64 3/40 (pow.f64 x 5)))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (*.f64 (pow.f64 x 7) -5/112))) |
(*.f64 -5/112 (pow.f64 x 7)) |
(*.f64 (pow.f64 x 7) -5/112) |
(-.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 5/112 (pow.f64 x 7))) |
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 (pow.f64 x 7) -5/112)) |
(fma.f64 3/40 (pow.f64 x 5) (*.f64 (pow.f64 x 7) -5/112)) |
(fma.f64 (pow.f64 x 7) -5/112 (*.f64 3/40 (pow.f64 x 5))) |
(-.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))) |
(-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 5/112 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/6))) |
(+.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 (pow.f64 x 7) -5/112)) (*.f64 -1/6 (pow.f64 x 3))) |
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 7) -5/112))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 (pow.f64 x 7) -5/112 (*.f64 3/40 (pow.f64 x 5)))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (*.f64 (pow.f64 x 7) -5/112))) |
(-.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))) |
(-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 5/112 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/6))) |
(+.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 (pow.f64 x 7) -5/112)) (*.f64 -1/6 (pow.f64 x 3))) |
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 7) -5/112))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 (pow.f64 x 7) -5/112 (*.f64 3/40 (pow.f64 x 5)))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (*.f64 (pow.f64 x 7) -5/112))) |
(*.f64 -5/112 (pow.f64 x 7)) |
(*.f64 (pow.f64 x 7) -5/112) |
(-.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 5/112 (pow.f64 x 7))) |
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 (pow.f64 x 7) -5/112)) |
(fma.f64 3/40 (pow.f64 x 5) (*.f64 (pow.f64 x 7) -5/112)) |
(fma.f64 (pow.f64 x 7) -5/112 (*.f64 3/40 (pow.f64 x 5))) |
(-.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))) |
(-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 5/112 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/6))) |
(+.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 (pow.f64 x 7) -5/112)) (*.f64 -1/6 (pow.f64 x 3))) |
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 7) -5/112))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 (pow.f64 x 7) -5/112 (*.f64 3/40 (pow.f64 x 5)))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (*.f64 (pow.f64 x 7) -5/112))) |
(-.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))) |
(-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 5/112 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/6))) |
(+.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 (pow.f64 x 7) -5/112)) (*.f64 -1/6 (pow.f64 x 3))) |
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 7) -5/112))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 (pow.f64 x 7) -5/112 (*.f64 3/40 (pow.f64 x 5)))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (*.f64 (pow.f64 x 7) -5/112))) |
(*.f64 -1/6 (pow.f64 x 3)) |
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))) |
(neg.f64 (fma.f64 5/112 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/6))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 (pow.f64 x 7) -5/112)) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 7) -5/112)) |
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))) |
(neg.f64 (fma.f64 5/112 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/6))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 (pow.f64 x 7) -5/112)) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 7) -5/112)) |
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))) |
(neg.f64 (fma.f64 5/112 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/6))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 (pow.f64 x 7) -5/112)) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 7) -5/112)) |
(*.f64 -5/112 (pow.f64 x 7)) |
(*.f64 (pow.f64 x 7) -5/112) |
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))) |
(neg.f64 (fma.f64 5/112 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/6))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 (pow.f64 x 7) -5/112)) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 7) -5/112)) |
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))) |
(neg.f64 (fma.f64 5/112 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/6))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 (pow.f64 x 7) -5/112)) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 7) -5/112)) |
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))) |
(neg.f64 (fma.f64 5/112 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/6))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 (pow.f64 x 7) -5/112)) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 7) -5/112)) |
(*.f64 -5/112 (pow.f64 x 7)) |
(*.f64 (pow.f64 x 7) -5/112) |
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))) |
(neg.f64 (fma.f64 5/112 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/6))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 (pow.f64 x 7) -5/112)) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 7) -5/112)) |
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))) |
(neg.f64 (fma.f64 5/112 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/6))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 (pow.f64 x 7) -5/112)) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 7) -5/112)) |
(neg.f64 (+.f64 (*.f64 5/112 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3)))) |
(neg.f64 (fma.f64 5/112 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/6))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 (pow.f64 x 7) -5/112)) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 7) -5/112)) |
(*.f64 -5/112 (pow.f64 x 7)) |
(*.f64 (pow.f64 x 7) -5/112) |
(*.f64 -5/112 (pow.f64 x 7)) |
(*.f64 (pow.f64 x 7) -5/112) |
(*.f64 -5/112 (pow.f64 x 7)) |
(*.f64 (pow.f64 x 7) -5/112) |
(*.f64 -5/112 (pow.f64 x 7)) |
(*.f64 (pow.f64 x 7) -5/112) |
(*.f64 -5/112 (pow.f64 x 7)) |
(*.f64 (pow.f64 x 7) -5/112) |
(*.f64 -5/112 (pow.f64 x 7)) |
(*.f64 (pow.f64 x 7) -5/112) |
(*.f64 -5/112 (pow.f64 x 7)) |
(*.f64 (pow.f64 x 7) -5/112) |
(*.f64 -5/112 (pow.f64 x 7)) |
(*.f64 (pow.f64 x 7) -5/112) |
(*.f64 -5/112 (pow.f64 x 7)) |
(*.f64 (pow.f64 x 7) -5/112) |
(*.f64 -5/112 (pow.f64 x 7)) |
(*.f64 (pow.f64 x 7) -5/112) |
(*.f64 -5/112 (pow.f64 x 7)) |
(*.f64 (pow.f64 x 7) -5/112) |
(*.f64 -5/112 (pow.f64 x 7)) |
(*.f64 (pow.f64 x 7) -5/112) |
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 86 | 0 | 86 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 86 | 3 | 89 |
| Status | Error | Program |
|---|---|---|
| ✓ | 47.4b | (log.f64 (+.f64 x (hypot.f64 1 x))) |
| ▶ | 44.8b | (log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))) |
| ✓ | 32.5b | (+.f64 x (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))) |
Compiled 2002 to 1606 computations (19.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) |
| ✓ | 0.2b | (/.f64 1/8 (pow.f64 x 3)) |
| ✓ | 8.0b | (log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))) |
| 1.0ms | x | @ | inf | (log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))) |
| 1.0ms | x | @ | 0 | (/.f64 1/8 (pow.f64 x 3)) |
| 1.0ms | x | @ | -inf | (log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))) |
| 0.0ms | x | @ | 0 | (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) |
| 1× | batch-egg-rewrite |
| 914× | prod-diff_binary64 |
| 193× | log1p-udef_binary64 |
| 113× | add-sqr-sqrt_binary64 |
| 110× | add-log-exp_binary64 |
| 109× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 35 |
| 1 | 235 | 31 |
| 2 | 3098 | 31 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))) |
(/.f64 1/8 (pow.f64 x 3)) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)) 2))) (log.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (*.f64 1/512 (pow.f64 (pow.f64 x -3) 3)) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (-.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))) (/.f64 -1/16 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 1/8 x (*.f64 (pow.f64 x 3) -1/2))) (log.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x)))) (log.f64 (-.f64 (*.f64 1/8 (pow.f64 x -3)) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/8 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/8 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/8 (/.f64 1 (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (pow.f64 (/.f64 1/2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/2 x) 2) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/512 (pow.f64 (pow.f64 x -3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 8) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/64 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/8) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/512 (pow.f64 (pow.f64 x -3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/8 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/8 (pow.f64 x -3))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1/64 (pow.f64 x 6)) (-.f64 (*.f64 1/8 (pow.f64 x -3)) (/.f64 -1/2 x))) (/.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (*.f64 1/8 (pow.f64 x -3)) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) (cbrt.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)) 2)) (cbrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) (sqrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/8 x (*.f64 (pow.f64 x 3) -1/2)) (/.f64 1 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/512 (pow.f64 (pow.f64 x -3) 3)) (/.f64 -1/8 (pow.f64 x 3))) (/.f64 1 (-.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))) (/.f64 -1/16 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))) (/.f64 1 (-.f64 (*.f64 1/8 (pow.f64 x -3)) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 x 4) (fma.f64 1/8 x (*.f64 (pow.f64 x 3) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))) (/.f64 -1/16 (pow.f64 x 4))) (+.f64 (*.f64 1/512 (pow.f64 (pow.f64 x -3) 3)) (/.f64 -1/8 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 1/8 (pow.f64 x -3)) (/.f64 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x -3) 3)) (/.f64 -1/8 (pow.f64 x 3)))) (neg.f64 (-.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))) (/.f64 -1/16 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x)))) (neg.f64 (-.f64 (*.f64 1/8 (pow.f64 x -3)) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (*.f64 (pow.f64 x 3) 8) -1/2)) (*.f64 (*.f64 (pow.f64 x 3) 8) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/8 x) (*.f64 (neg.f64 (pow.f64 x 3)) -1/2)) (*.f64 (neg.f64 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/8 (*.f64 x -2)) (pow.f64 x 3)) (*.f64 (pow.f64 x 3) (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x -2) (*.f64 (*.f64 (pow.f64 x 3) 8) 1)) (*.f64 (*.f64 (pow.f64 x 3) 8) (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/8 (*.f64 x -2)) (*.f64 (neg.f64 (pow.f64 x 3)) 1)) 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x -2) 1)) (*.f64 (*.f64 x -2) (*.f64 (pow.f64 x 3) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 3) 8)) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (*.f64 (pow.f64 x 3) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/2 (neg.f64 (pow.f64 x 3))) (*.f64 x -1/8)) (*.f64 x (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (pow.f64 x 3)) (*.f64 (*.f64 x -2) -1/8)) (*.f64 (*.f64 x -2) (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/2 (neg.f64 (pow.f64 x 3))) (*.f64 (neg.f64 x) -1/8)) (*.f64 (neg.f64 x) (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/64 (pow.f64 x 6))) (-.f64 (/.f64 -1/2 x) (*.f64 1/8 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 1/8 x (*.f64 (pow.f64 x 3) -1/2)) (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))) (sqrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 1 x) (*.f64 1/8 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/8 (pow.f64 x -3)) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1/2 x) (*.f64 1/8 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (cbrt.f64 (/.f64 -1/2 x)) (*.f64 1/8 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 1/2 x) 2) (/.f64 1/2 x) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 x)) (*.f64 1/8 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) (/.f64 -1/2 x)))))) |
| 1× | egg-herbie |
| 732× | fma-def_binary64 |
| 524× | cancel-sign-sub-inv_binary64 |
| 352× | sub-neg_binary64 |
| 306× | associate-/r*_binary64 |
| 237× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 410 |
| 1 | 181 | 402 |
| 2 | 523 | 400 |
| 3 | 1888 | 396 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log.f64 1/8) (*.f64 3 (log.f64 x))) |
(-.f64 (log.f64 1/8) (+.f64 (*.f64 3 (log.f64 x)) (*.f64 4 (pow.f64 x 2)))) |
(-.f64 (log.f64 1/8) (+.f64 (*.f64 8 (pow.f64 x 4)) (+.f64 (*.f64 3 (log.f64 x)) (*.f64 4 (pow.f64 x 2))))) |
(-.f64 (log.f64 1/8) (+.f64 (*.f64 8 (pow.f64 x 4)) (+.f64 (*.f64 64/3 (pow.f64 x 6)) (+.f64 (*.f64 3 (log.f64 x)) (*.f64 4 (pow.f64 x 2)))))) |
(+.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)) (log.f64 -1/2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1/2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) |
(+.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)) (log.f64 1/2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) |
(/.f64 1/8 (pow.f64 x 3)) |
(-.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 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 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 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 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 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))) |
| Outputs |
|---|
(-.f64 (log.f64 1/8) (*.f64 3 (log.f64 x))) |
(+.f64 (log.f64 1/8) (*.f64 -3 (log.f64 x))) |
(+.f64 (log.f64 1/8) (*.f64 (log.f64 x) -3)) |
(fma.f64 (log.f64 x) -3 (log.f64 1/8)) |
(-.f64 (log.f64 1/8) (+.f64 (*.f64 3 (log.f64 x)) (*.f64 4 (pow.f64 x 2)))) |
(-.f64 (log.f64 1/8) (fma.f64 3 (log.f64 x) (*.f64 4 (*.f64 x x)))) |
(+.f64 (log.f64 1/8) (fma.f64 (log.f64 x) -3 (*.f64 (*.f64 -4 x) x))) |
(fma.f64 x (*.f64 x -4) (fma.f64 (log.f64 x) -3 (log.f64 1/8))) |
(-.f64 (log.f64 1/8) (+.f64 (*.f64 8 (pow.f64 x 4)) (+.f64 (*.f64 3 (log.f64 x)) (*.f64 4 (pow.f64 x 2))))) |
(-.f64 (log.f64 1/8) (fma.f64 8 (pow.f64 x 4) (fma.f64 3 (log.f64 x) (*.f64 4 (*.f64 x x))))) |
(-.f64 (log.f64 1/8) (fma.f64 x (*.f64 x 4) (fma.f64 3 (log.f64 x) (*.f64 8 (pow.f64 x 4))))) |
(fma.f64 (pow.f64 x 4) -8 (fma.f64 x (*.f64 x -4) (fma.f64 (log.f64 x) -3 (log.f64 1/8)))) |
(-.f64 (log.f64 1/8) (+.f64 (*.f64 8 (pow.f64 x 4)) (+.f64 (*.f64 64/3 (pow.f64 x 6)) (+.f64 (*.f64 3 (log.f64 x)) (*.f64 4 (pow.f64 x 2)))))) |
(-.f64 (log.f64 1/8) (fma.f64 8 (pow.f64 x 4) (fma.f64 64/3 (pow.f64 x 6) (fma.f64 3 (log.f64 x) (*.f64 4 (*.f64 x x)))))) |
(-.f64 (log.f64 1/8) (fma.f64 8 (pow.f64 x 4) (fma.f64 64/3 (pow.f64 x 6) (fma.f64 3 (log.f64 x) (*.f64 x (*.f64 x 4)))))) |
(+.f64 (fma.f64 (pow.f64 x 4) -8 (*.f64 (pow.f64 x 6) -64/3)) (fma.f64 x (*.f64 x -4) (fma.f64 (log.f64 x) -3 (log.f64 1/8)))) |
(+.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 (log.f64 x) (/.f64 (/.f64 1/4 x) x))) |
(-.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (/.f64 (/.f64 1/4 x) x)) |
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1/2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 -1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4)))) |
(-.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/32 (pow.f64 x 4)))) |
(+.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (-.f64 (/.f64 -1/32 (pow.f64 x 4)) (/.f64 (/.f64 1/4 x) x))) |
(+.f64 (log.f64 -1/2) (-.f64 (-.f64 (/.f64 -1/32 (pow.f64 x 4)) (/.f64 (/.f64 1/4 x) x)) (log.f64 x))) |
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1/2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) |
(-.f64 (-.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 -1/2)) (/.f64 1/32 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))) |
(-.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (+.f64 (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/32 (pow.f64 x 4))) (/.f64 1/192 (pow.f64 x 6)))) |
(+.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (-.f64 (-.f64 (/.f64 -1/32 (pow.f64 x 4)) (/.f64 (/.f64 1/4 x) x)) (/.f64 1/192 (pow.f64 x 6)))) |
(+.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (+.f64 (-.f64 (/.f64 -1/32 (pow.f64 x 4)) (/.f64 (/.f64 1/4 x) x)) (/.f64 -1/192 (pow.f64 x 6)))) |
(+.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 (/.f64 1/4 x) x))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 1/32 (pow.f64 x 4))) (/.f64 1/4 (*.f64 x x))) |
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (-.f64 (log.f64 1/2) (/.f64 (/.f64 1/4 x) x)) (/.f64 1/32 (pow.f64 x 4)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (-.f64 (/.f64 -1/32 (pow.f64 x 4)) (/.f64 (/.f64 1/4 x) x)))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/32 (pow.f64 x 4))) (/.f64 1/192 (pow.f64 x 6)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (-.f64 (-.f64 (/.f64 -1/32 (pow.f64 x 4)) (/.f64 (/.f64 1/4 x) x)) (/.f64 1/192 (pow.f64 x 6))))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (+.f64 (-.f64 (/.f64 -1/32 (pow.f64 x 4)) (/.f64 (/.f64 1/4 x) x)) (/.f64 -1/192 (pow.f64 x 6))))) |
(/.f64 1/8 (pow.f64 x 3)) |
(-.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 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 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 -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 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 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 -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 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 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)) |
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 131 | 0 | 131 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 131 | 3 | 134 |
| Status | Error | Program |
|---|---|---|
| ✓ | 47.4b | (log.f64 (+.f64 x (hypot.f64 1 x))) |
| ✓ | 44.8b | (log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))) |
| ✓ | 32.5b | (+.f64 x (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))) |
Compiled 2170 to 1731 computations (20.2% saved)
Total 0.1b remaining (69.5%)
Threshold costs 0.1b (69.5%)
Compiled 234 to 174 computations (25.6% saved)
| 2× | binary-search |
2 calls:
| 18.0ms | x |
| 18.0ms | x |
| Iters | Point | Range | ||||
|---|---|---|---|---|---|---|
0.0265 | ∈ [ | 5.7108318203133564e-5 | , | 5.270643035553663 | ] | |
-1.15 | ∈ [ | -640553.3502874272 | , | -0.0034363593911984425 | ] | |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 58 |
| 1 | 38 | 58 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x -2589569785738035/2251799813685248) (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) (if (<=.f64 x 7638104968020361/288230376151711744) (+.f64 x (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))) (log.f64 (+.f64 x (hypot.f64 1 x))))) |
| Outputs |
|---|
(if (<=.f64 x -2589569785738035/2251799813685248) (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) (if (<=.f64 x 7638104968020361/288230376151711744) (+.f64 x (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 7) -5/112)))) (log.f64 (+.f64 x (hypot.f64 1 x))))) |
| 1× | done |
Compiled 118 to 90 computations (23.7% saved)
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