Time bar (total: 4.4s)
| 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)
| 1.4s | 2566× | body | 1024 | valid |
| 663.0ms | 1234× | body | 2048 | valid |
| 386.0ms | 3087× | body | 256 | valid |
| 373.0ms | 1320× | body | 512 | valid |
| 33.0ms | 49× | body | 4096 | valid |
| 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 11 to 8 computations (27.3% 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))) |
Compiled 16 to 11 computations (31.3% saved)
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 |
|---|---|---|
| ▶ | 46.9b | (log.f64 (+.f64 x (hypot.f64 1 x))) |
Compiled 7 to 5 computations (28.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (hypot.f64 1 x) |
| ✓ | 1.3b | (+.f64 x (hypot.f64 1 x)) |
| ✓ | 1.5b | (log.f64 (+.f64 x (hypot.f64 1 x))) |
Compiled 17 to 11 computations (35.3% saved)
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))) |
| 0.0ms | 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 |
| 563× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 20 |
| 1 | 121 | 20 |
| 2 | 1559 | 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 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(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 (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 expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))))) (#(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 (+.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 (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) (+.f64 1 (*.f64 x x))) (/.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) (+.f64 1 (*.f64 x 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 x x) (+.f64 1 (*.f64 x x))) (-.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) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.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 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 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 log1p.f64 (expm1.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 (+.f64 1 (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 (+.f64 1 (*.f64 x x)) 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 (+.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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 expm1.f64 (log1p.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 1 x))))))) |
| 1× | egg-herbie |
| 455× | associate-/r*_binary64 |
| 407× | associate-*l*_binary64 |
| 383× | fma-def_binary64 |
| 320× | +-commutative_binary64 |
| 318× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 560 |
| 1 | 332 | 540 |
| 2 | 882 | 537 |
| 3 | 2574 | 537 |
| 4 | 7619 | 537 |
| 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)))) |
1 |
(+.f64 1 (*.f64 1/2 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.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 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) |
(*.f64 -1 x) |
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) |
| 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 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (-.f64 (log.f64 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) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x 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 (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 (+.f64 (log.f64 2) (/.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 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 (/.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 1/2) (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 (/.f64 -1 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 (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 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x))))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.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 (+.f64 (log.f64 (/.f64 -1 x)) (+.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 (log.f64 (/.f64 -1 x)) (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 (+.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 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (+.f64 (/.f64 (/.f64 -1/4 x) x) (/.f64 -5/96 (pow.f64 x 6)))))) |
(-.f64 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (/.f64 -3/32 (pow.f64 x 4)) (log.f64 1/2)))) |
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 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 (*.f64 x x) 1/2 (fma.f64 (pow.f64 x 4) -1/8 x))) |
(+.f64 x (fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) -1/8 1))) |
(*.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 (fma.f64 x 2 (/.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 (fma.f64 2 x (/.f64 1/2 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 (fma.f64 x 2 (/.f64 1/16 (pow.f64 x 5))) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))) |
(+.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 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 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (/.f64 5/128 (pow.f64 x 7))))) |
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) |
(fma.f64 x (*.f64 x 1/2) 1) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/8))) |
(+.f64 1 (fma.f64 (*.f64 x x) 1/2 (*.f64 (pow.f64 x 4) -1/8))) |
(fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) -1/8 1)) |
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 6) (*.f64 (pow.f64 x 4) -1/8)))) |
(+.f64 1 (fma.f64 (*.f64 x x) 1/2 (fma.f64 (pow.f64 x 4) -1/8 (*.f64 (pow.f64 x 6) 1/16)))) |
(+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 (*.f64 x x) 1/2 (*.f64 (pow.f64 x 6) 1/16)))) |
(+.f64 1 (fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) -1/8 (*.f64 (pow.f64 x 6) 1/16)))) |
x |
(+.f64 (*.f64 1/2 (/.f64 1 x)) x) |
(+.f64 x (/.f64 1/2 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 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3))) |
(+.f64 x (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))) |
(+.f64 x (+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3)))) |
(-.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) x)) (*.f64 1/8 (/.f64 1 (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 (+.f64 x (/.f64 1/16 (pow.f64 x 5))) (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))) |
(+.f64 x (-.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3)))) |
(+.f64 x (+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/8 (pow.f64 x 3))))) |
(*.f64 -1 x) |
(neg.f64 x) |
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (neg.f64 x) (/.f64 1/2 x)) |
(fma.f64 x -1 (/.f64 -1/2 x)) |
(-.f64 (/.f64 -1/2 x) x) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (neg.f64 x) (/.f64 1/2 x))) |
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) x) (/.f64 -1/2 x)) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) x)) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (neg.f64 x) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))) |
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) x) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5)))) |
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 -1/2 x) x) (/.f64 -1/16 (pow.f64 x 5)))) |
Compiled 1814 to 1362 computations (24.9% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 131 | 6 | 137 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 132 | 6 | 138 |
| Status | Error | Program |
|---|---|---|
| ▶ | 46.4b | (log.f64 (/.f64 -1/2 x)) |
| ▶ | 31.6b | (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) |
| ▶ | 31.9b | (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
| 30.3b | x | |
| ▶ | 48.9b | (log.f64 (*.f64 x 2)) |
| ▶ | 46.4b | (log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))) |
Compiled 88 to 69 computations (21.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 3/40 (pow.f64 x 5)) |
| ✓ | 0.1b | (*.f64 -1/6 (pow.f64 x 3)) |
| ✓ | 17.1b | (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) |
Compiled 42 to 32 computations (23.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) |
| 1.0ms | x | @ | 0 | (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) |
| 1.0ms | x | @ | 0 | (*.f64 3/40 (pow.f64 x 5)) |
| 1.0ms | x | @ | 0 | (*.f64 -1/6 (pow.f64 x 3)) |
| 1.0ms | x | @ | inf | (*.f64 -1/6 (pow.f64 x 3)) |
| 1× | batch-egg-rewrite |
| 556× | log-prod_binary64 |
| 547× | fma-def_binary64 |
| 332× | pow2_binary64 |
| 319× | fma-neg_binary64 |
| 228× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 29 |
| 1 | 279 | 29 |
| 2 | 3518 | 29 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) |
(*.f64 -1/6 (pow.f64 x 3)) |
(*.f64 3/40 (pow.f64 x 5)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x)))) (/.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3/40 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 10) 9/1600) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 15) 27/64000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 10) 9/1600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 15) 27/64000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))) 1)))))) |
| 1× | egg-herbie |
| 1204× | sqr-pow_binary64 |
| 710× | cube-prod_binary64 |
| 681× | fabs-mul_binary64 |
| 660× | pow-sqr_binary64 |
| 416× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 51 |
| 1 | 30 | 51 |
| 2 | 60 | 51 |
| 3 | 131 | 51 |
| 4 | 260 | 51 |
| 5 | 713 | 51 |
| 6 | 1077 | 51 |
| 7 | 1719 | 51 |
| 8 | 1827 | 51 |
| 9 | 1989 | 51 |
| 10 | 2202 | 51 |
| 11 | 2532 | 51 |
| 12 | 2988 | 51 |
| 13 | 3586 | 51 |
| 14 | 4338 | 51 |
| 15 | 5270 | 51 |
| 16 | 5780 | 51 |
| 17 | 6272 | 51 |
| 18 | 6670 | 51 |
| 19 | 6990 | 51 |
| 20 | 7152 | 51 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(*.f64 3/40 (pow.f64 x 5)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))) |
(*.f64 3/40 (pow.f64 x 5)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(*.f64 3/40 (pow.f64 x 5)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) |
(*.f64 3/40 (pow.f64 x 5)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))) |
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) |
Compiled 10 to 7 computations (30% saved)
Compiled 10 to 7 computations (30% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 -1/6 (pow.f64 x 3)) |
Compiled 19 to 14 computations (26.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (/.f64 1/8 (pow.f64 x 3)) |
| ✓ | 10.2b | (log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))) |
Compiled 35 to 27 computations (22.9% saved)
6 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 | @ | -inf | (/.f64 1/8 (pow.f64 x 3)) |
| 1× | batch-egg-rewrite |
| 914× | prod-diff_binary64 |
| 468× | log-prod_binary64 |
| 302× | fma-def_binary64 |
| 277× | pow2_binary64 |
| 193× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 22 |
| 1 | 235 | 20 |
| 2 | 3104 | 20 |
| 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)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 0)))) (#(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 (fma.f64 1/512 (pow.f64 (pow.f64 x -3) 3) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (/.f64 1 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (-.f64 (/.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 (pow.f64 x 3) -1/2 (*.f64 1/8 x))) (log.f64 (/.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) (log.f64 (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 (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> 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(#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/64 (pow.f64 x 6)))) (log.f64 (-.f64 (/.f64 -1/2 x) (*.f64 1/8 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/2 (*.f64 1/8 x)) (pow.f64 x 3))) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (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 (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 *.f64 2 (log.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (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 neg.f64 (log.f64 (/.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 3) -1/2 (*.f64 1/8 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 x 6)) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/16 (pow.f64 x 4)))) (fma.f64 1/512 (pow.f64 (pow.f64 x -3) 3) (/.f64 -1/8 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 1/8 (pow.f64 x -3)) (/.f64 -1/2 x)) (-.f64 (/.f64 1/64 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))))))))) (#(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 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 log1p.f64 (-.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 -1/2 x)) 1))))) (#(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 0 (*.f64 1/8 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/8) (pow.f64 x -3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/8) (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/8) (pow.f64 x -3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/8) (pow.f64 x -3)))))))) (#(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 pow.f64 (/.f64 (*.f64 (pow.f64 x 3) 8) 1) -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 expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x -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 exp.f64 (*.f64 3 (log.f64 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 1/2 x))) 1)))))) |
| 1× | egg-herbie |
| 836× | sub-neg_binary64 |
| 636× | fma-def_binary64 |
| 585× | times-frac_binary64 |
| 324× | associate-+l-_binary64 |
| 301× | associate-+r+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 274 |
| 1 | 156 | 264 |
| 2 | 423 | 262 |
| 3 | 1459 | 262 |
| 4 | 5383 | 262 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 -3 (log.f64 x)) (log.f64 1/8)) |
(+.f64 (*.f64 -3 (log.f64 x)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (log.f64 1/8))) |
(+.f64 (*.f64 -3 (log.f64 x)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (log.f64 1/8) (*.f64 -8 (pow.f64 x 4))))) |
(+.f64 (*.f64 -3 (log.f64 x)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (log.f64 1/8) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -64/3 (pow.f64 x 6)))))) |
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) |
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (+.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)))))) |
| Outputs |
|---|
(+.f64 (*.f64 -3 (log.f64 x)) (log.f64 1/8)) |
(fma.f64 -3 (log.f64 x) (log.f64 1/8)) |
(+.f64 (*.f64 -3 (log.f64 x)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (log.f64 1/8))) |
(fma.f64 -3 (log.f64 x) (fma.f64 -4 (*.f64 x x) (log.f64 1/8))) |
(fma.f64 -3 (log.f64 x) (fma.f64 x (*.f64 x -4) (log.f64 1/8))) |
(+.f64 (*.f64 -3 (log.f64 x)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (log.f64 1/8) (*.f64 -8 (pow.f64 x 4))))) |
(fma.f64 -3 (log.f64 x) (+.f64 (fma.f64 -4 (*.f64 x x) (log.f64 1/8)) (*.f64 -8 (pow.f64 x 4)))) |
(fma.f64 -3 (log.f64 x) (fma.f64 -4 (*.f64 x x) (fma.f64 -8 (pow.f64 x 4) (log.f64 1/8)))) |
(fma.f64 -3 (log.f64 x) (fma.f64 x (*.f64 x -4) (fma.f64 -8 (pow.f64 x 4) (log.f64 1/8)))) |
(fma.f64 -4 (*.f64 x x) (fma.f64 -8 (pow.f64 x 4) (fma.f64 -3 (log.f64 x) (log.f64 1/8)))) |
(+.f64 (*.f64 -3 (log.f64 x)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (log.f64 1/8) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -64/3 (pow.f64 x 6)))))) |
(fma.f64 -3 (log.f64 x) (fma.f64 -4 (*.f64 x x) (+.f64 (log.f64 1/8) (fma.f64 -8 (pow.f64 x 4) (*.f64 -64/3 (pow.f64 x 6)))))) |
(+.f64 (fma.f64 -3 (log.f64 x) (fma.f64 -4 (*.f64 x x) (log.f64 1/8))) (fma.f64 -8 (pow.f64 x 4) (*.f64 -64/3 (pow.f64 x 6)))) |
(fma.f64 -3 (log.f64 x) (fma.f64 x (*.f64 x -4) (fma.f64 -8 (pow.f64 x 4) (fma.f64 -64/3 (pow.f64 x 6) (log.f64 1/8))))) |
(fma.f64 x (*.f64 x -4) (fma.f64 -64/3 (pow.f64 x 6) (fma.f64 -8 (pow.f64 x 4) (fma.f64 -3 (log.f64 x) (log.f64 1/8))))) |
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) |
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x))) |
(-.f64 (log.f64 -1/2) (log.f64 x)) |
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (log.f64 x)) (/.f64 1/4 (*.f64 x x)))) |
(+.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (/.f64 -1/4 (*.f64 x x))) |
(-.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (/.f64 (/.f64 1/4 x) x)) |
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4)))) |
(+.f64 (-.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (/.f64 1/32 (pow.f64 x 4))) (/.f64 -1/4 (*.f64 x x))) |
(+.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (+.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 -1/32 (pow.f64 x 4)) (/.f64 (/.f64 1/4 x) x))) |
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (+.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 (log.f64 -1/2) (neg.f64 (log.f64 x))) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6))))) |
(-.f64 (-.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (/.f64 1/192 (pow.f64 x 6)))) (/.f64 1/4 (*.f64 x x))) |
(+.f64 (+.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (/.f64 -1/32 (pow.f64 x 4))) (-.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))) |
(+.f64 (log.f64 -1/2) (+.f64 (-.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 x)) (+.f64 (/.f64 -1/32 (pow.f64 x 4)) (/.f64 -1/192 (pow.f64 x 6))))) |
(+.f64 (log.f64 -1/2) (+.f64 (/.f64 -1/4 (*.f64 x x)) (+.f64 (-.f64 (/.f64 -1/32 (pow.f64 x 4)) (log.f64 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 (+.f64 (log.f64 (/.f64 -1 x)) (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 (log.f64 (/.f64 -1 x)) (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 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4))))) |
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))) (/.f64 1/32 (pow.f64 x 4)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (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 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)) (-.f64 (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))) (/.f64 1/32 (pow.f64 x 4)))) (/.f64 1/192 (pow.f64 x 6))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (-.f64 (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))) (/.f64 1/192 (pow.f64 x 6))) (/.f64 -1/32 (pow.f64 x 4)))) |
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (-.f64 (/.f64 -1/32 (pow.f64 x 4)) (/.f64 (/.f64 1/4 x) x)) (+.f64 (log.f64 1/2) (/.f64 -1/192 (pow.f64 x 6))))) |
Compiled 4320 to 3395 computations (21.4% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 251 | 0 | 251 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 251 | 6 | 257 |
| Status | Error | Program |
|---|---|---|
| ✓ | 46.4b | (log.f64 (/.f64 -1/2 x)) |
| ✓ | 31.6b | (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) |
| ✓ | 31.9b | (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
| 30.3b | x | |
| ✓ | 48.9b | (log.f64 (*.f64 x 2)) |
| ✓ | 46.4b | (log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))) |
Compiled 45 to 35 computations (22.2% saved)
Compiled 1 to 1 computations (0% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 5 | 5 |
| Total | 0 | 6 | 6 |
| Status | Error | Program |
|---|---|---|
| ✓ | 46.4b | (log.f64 (/.f64 -1/2 x)) |
| ✓ | 31.6b | (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) |
| ✓ | 31.9b | (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
| 30.3b | x | |
| ✓ | 48.9b | (log.f64 (*.f64 x 2)) |
| ✓ | 46.4b | (log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))) |
Compiled 45 to 35 computations (22.2% saved)
Compiled 1 to 1 computations (0% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 5 | 5 |
| Total | 0 | 6 | 6 |
| Status | Error | Program |
|---|---|---|
| ✓ | 46.4b | (log.f64 (/.f64 -1/2 x)) |
| ✓ | 31.6b | (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) |
| ✓ | 31.9b | (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
| 30.3b | x | |
| ✓ | 48.9b | (log.f64 (*.f64 x 2)) |
| ✓ | 46.4b | (log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))) |
Compiled 45 to 35 computations (22.2% saved)
| Inputs |
|---|
x |
(log.f64 (/.f64 -1/2 x)) |
(log.f64 (*.f64 x 2)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) |
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) |
| Outputs |
|---|
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) |
(log.f64 (*.f64 x 2)) |
3 calls:
| 16.0ms | x |
| 6.0ms | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) |
| 6.0ms | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) |
| Error | Segments | Branch |
|---|---|---|
| 0b | 3 | x |
| 7.2b | 3 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) |
| 7.2b | 3 | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) |
Compiled 76 to 54 computations (28.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 5.291342491801188e-16 | 14909333627.096416 |
| 23.0ms | -132226.3464932629 | -0.0007287819196839851 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
x |
(log.f64 (/.f64 -1/2 x)) |
(log.f64 (*.f64 x 2)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) |
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))) |
| Outputs |
|---|
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(log.f64 (*.f64 x 2)) |
3 calls:
| 14.0ms | x |
| 7.0ms | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) |
| 6.0ms | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 3 | x |
| 7.3b | 3 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) |
| 7.3b | 3 | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) |
Compiled 63 to 44 computations (30.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 5.291342491801188e-16 | 14909333627.096416 |
| 23.0ms | -132226.3464932629 | -0.0007287819196839851 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
x |
(log.f64 (/.f64 -1/2 x)) |
(log.f64 (*.f64 x 2)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(log.f64 (+.f64 x (hypot.f64 1 x))) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) |
| Outputs |
|---|
(log.f64 (/.f64 -1/2 x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(log.f64 (*.f64 x 2)) |
3 calls:
| 14.0ms | x |
| 6.0ms | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) |
| 6.0ms | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 3 | x |
| 7.3b | 3 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) |
| 7.3b | 3 | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) |
Compiled 53 to 36 computations (32.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 5.291342491801188e-16 | 14909333627.096416 |
| 22.0ms | -132226.3464932629 | -0.0007287819196839851 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
x |
(log.f64 (/.f64 -1/2 x)) |
(log.f64 (*.f64 x 2)) |
| Outputs |
|---|
(log.f64 (/.f64 -1/2 x)) |
x |
(log.f64 (*.f64 x 2)) |
1 calls:
| 11.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 3 | x |
Compiled 12 to 8 computations (33.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 5.291342491801188e-16 | 14909333627.096416 |
| 23.0ms | -132226.3464932629 | -0.0007287819196839851 |
Compiled 14 to 10 computations (28.6% saved)
Total -48.5b remaining (-343.5%)
Threshold costs -48.5b (-343.5%)
| Inputs |
|---|
x |
(log.f64 (/.f64 -1/2 x)) |
| Outputs |
|---|
(log.f64 (/.f64 -1/2 x)) |
x |
1 calls:
| 6.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 14.1b | 2 | x |
Compiled 8 to 5 computations (37.5% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 24.0ms | -132226.3464932629 | -0.0007287819196839851 |
Compiled 14 to 10 computations (28.6% saved)
| 1× | egg-herbie |
| 4× | +-commutative_binary64 |
| 3× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 168 |
| 1 | 43 | 168 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x -1135815667716257/8589934592) (log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))) (if (<=.f64 x 5366058788595929/10141204801825835211973625643008) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) (log.f64 (*.f64 x 2)))) |
(if (<=.f64 x -1135815667716257/8589934592) (log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))) (if (<=.f64 x 5366058788595929/10141204801825835211973625643008) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (*.f64 x 2)))) |
(if (<=.f64 x -1135815667716257/8589934592) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5366058788595929/10141204801825835211973625643008) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (*.f64 x 2)))) |
(if (<=.f64 x -1135815667716257/8589934592) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5366058788595929/10141204801825835211973625643008) x (log.f64 (*.f64 x 2)))) |
(if (<=.f64 x -1135815667716257/8589934592) (log.f64 (/.f64 -1/2 x)) x) |
x |
| Outputs |
|---|
(if (<=.f64 x -1135815667716257/8589934592) (log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))) (if (<=.f64 x 5366058788595929/10141204801825835211973625643008) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) (log.f64 (*.f64 x 2)))) |
(if (<=.f64 x -1135815667716257/8589934592) (log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))) (if (<=.f64 x 5366058788595929/10141204801825835211973625643008) (+.f64 (*.f64 (pow.f64 x 3) -1/6) (+.f64 x (*.f64 3/40 (pow.f64 x 5)))) (log.f64 (*.f64 x 2)))) |
(if (<=.f64 x -1135815667716257/8589934592) (log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))) (if (<=.f64 x 5366058788595929/10141204801825835211973625643008) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (*.f64 x 2)))) |
(if (<=.f64 x -1135815667716257/8589934592) (log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))) (if (<=.f64 x 5366058788595929/10141204801825835211973625643008) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) (log.f64 (*.f64 x 2)))) |
(if (<=.f64 x -1135815667716257/8589934592) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5366058788595929/10141204801825835211973625643008) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (*.f64 x 2)))) |
(if (<=.f64 x -1135815667716257/8589934592) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5366058788595929/10141204801825835211973625643008) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) (log.f64 (*.f64 x 2)))) |
(if (<=.f64 x -1135815667716257/8589934592) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5366058788595929/10141204801825835211973625643008) x (log.f64 (*.f64 x 2)))) |
(if (<=.f64 x -1135815667716257/8589934592) (log.f64 (/.f64 -1/2 x)) x) |
x |
Compiled 120 to 90 computations (25% saved)
| 5× | egg-herbie |
| 455× | associate-/r*_binary64 |
| 455× | associate-/r*_binary64 |
| 407× | associate-*l*_binary64 |
| 407× | associate-*l*_binary64 |
| 383× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 13 | 9 |
| 2 | 14 | 9 |
| 0 | 110 | 560 |
| 1 | 332 | 540 |
| 2 | 882 | 537 |
| 3 | 2574 | 537 |
| 4 | 7619 | 537 |
| 0 | 8 | 12 |
| 1 | 13 | 9 |
| 2 | 14 | 9 |
| 0 | 8 | 12 |
| 1 | 13 | 9 |
| 2 | 14 | 9 |
| 0 | 110 | 560 |
| 1 | 332 | 540 |
| 2 | 882 | 537 |
| 3 | 2574 | 537 |
| 4 | 7619 | 537 |
| 1× | node limit |
| 1× | saturated |
| 1× | saturated |
| 1× | node limit |
| 1× | saturated |
Compiled 193 to 151 computations (21.8% saved)
Compiled 115 to 85 computations (26.1% saved)
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