Time bar (total: 14.8s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 25% | 74.9% | 0.1% | 4 |
| 50% | 50% | 0.1% | 5 |
| 50% | 50% | 0.1% | 6 |
| 50% | 50% | 0.1% | 7 |
| 50% | 50% | 0.1% | 8 |
| 50% | 50% | 0.1% | 9 |
| 50% | 50% | 0.1% | 10 |
| 50% | 50% | 0.1% | 11 |
| 50% | 50% | 0.1% | 12 |
| 50% | 50% | 0.1% | 13 |
| 50% | 50% | 0.1% | 14 |
Compiled 9 to 7 computations (22.2% saved)
| 9.5s | 7738× | body | 8192 | exit |
| 1.4s | 1934× | body | 1024 | valid |
| 630.0ms | 4632× | body | 128 | valid |
| 476.0ms | 988× | body | 512 | valid |
| 195.0ms | 209× | body | 2048 | valid |
| 123.0ms | 493× | body | 256 | valid |
Compiled 18 to 14 computations (22.2% saved)
| 2× | egg-herbie |
| 1× | swap-a-b |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 9 | 20 |
| 0 | 2 | 2 |
| 1 | 2 | 2 |
| 1× | unsound |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
0 |
| Inputs |
|---|
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
| Outputs |
|---|
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(sort a b)
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 8 | 10 |
| 1× | saturated |
| Inputs |
|---|
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| Outputs |
|---|
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 27.3b | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 24 to 18 computations (25% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (exp.f64 a) (exp.f64 b)) |
| ✓ | 3.8b | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | a | @ | inf | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 24.0ms | a | @ | -inf | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 14.0ms | b | @ | -inf | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 13.0ms | b | @ | inf | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1.0ms | a | @ | 0 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1× | batch-egg-rewrite |
| 721× | pow1_binary64 |
| 666× | add-log-exp_binary64 |
| 666× | log1p-expm1-u_binary64 |
| 666× | expm1-log1p-u_binary64 |
| 73× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 18 |
| 1 | 138 | 18 |
| 2 | 1818 | 18 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) |
| 1× | egg-herbie |
| 562× | fma-neg_binary64 |
| 396× | associate-+l+_binary64 |
| 328× | fma-def_binary64 |
| 238× | times-frac_binary64 |
| 220× | associate-+r+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 746 |
| 1 | 248 | 742 |
| 2 | 902 | 714 |
| 3 | 4283 | 710 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 1 (exp.f64 b))) |
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))) (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) |
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 1/6 (/.f64 (pow.f64 b 3) (+.f64 1 (exp.f64 a)))))))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+.f64 (exp.f64 b) 1) |
(+.f64 1 (+.f64 (exp.f64 b) a)) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 (exp.f64 b) a))) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 (*.f64 1/6 (pow.f64 a 3)) (+.f64 1 (+.f64 (exp.f64 b) a)))) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (+.f64 b (exp.f64 a))) |
(+.f64 1 (+.f64 b (+.f64 (*.f64 1/2 (pow.f64 b 2)) (exp.f64 a)))) |
(+.f64 1 (+.f64 b (+.f64 (*.f64 1/2 (pow.f64 b 2)) (+.f64 (exp.f64 a) (*.f64 1/6 (pow.f64 b 3)))))) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
| Outputs |
|---|
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))) (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) |
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))) (*.f64 -1/2 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) |
(+.f64 (+.f64 (log1p.f64 (exp.f64 b)) (fma.f64 1/2 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) a)) (/.f64 a (+.f64 1 (exp.f64 b))))) (*.f64 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) -1/2)) |
(+.f64 (log1p.f64 (exp.f64 b)) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (*.f64 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) a)) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 b))))))) |
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) |
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (fma.f64 1/3 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))))) (*.f64 1/2 (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) |
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (fma.f64 1/3 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (log1p.f64 (exp.f64 b)) (fma.f64 1/2 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) a)) (/.f64 a (+.f64 1 (exp.f64 b))))))) (*.f64 -1/2 (+.f64 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 3) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 1/2 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) a)) (log1p.f64 (exp.f64 b))))) (+.f64 (*.f64 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (-.f64 1/6 (/.f64 1/2 (+.f64 1 (exp.f64 b))))) (*.f64 (*.f64 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)) a) -1/2))) |
(+.f64 (fma.f64 1/3 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 3) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 1/2 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) a)) (log1p.f64 (exp.f64 b))))) (fma.f64 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (-.f64 1/6 (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)) a) -1/2))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (/.f64 (*.f64 1/2 (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) |
(+.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (fma.f64 1/2 (/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (/.f64 (*.f64 -1/2 (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) |
(+.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a))) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a))) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a))))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 1/6 (/.f64 (pow.f64 b 3) (+.f64 1 (exp.f64 a)))))))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) |
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 1/6 (/.f64 (pow.f64 b 3) (+.f64 1 (exp.f64 a)))))))) (*.f64 1/2 (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) |
(+.f64 (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (fma.f64 1/6 (/.f64 (pow.f64 b 3) (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (fma.f64 1/2 (/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (*.f64 -1/2 (+.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/3 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (fma.f64 1/6 (/.f64 (pow.f64 b 3) (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (+.f64 (*.f64 (/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a))) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a))))) (*.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/2)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/3 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (fma.f64 1/6 (/.f64 (pow.f64 b 3) (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (fma.f64 (/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a))) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/2)))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+.f64 (exp.f64 b) 1) |
(+.f64 1 (exp.f64 b)) |
(+.f64 1 (+.f64 (exp.f64 b) a)) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 (exp.f64 b) a))) |
(fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a))) |
(+.f64 (+.f64 (exp.f64 b) a) (fma.f64 1/2 (*.f64 a a) 1)) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 (*.f64 1/6 (pow.f64 a 3)) (+.f64 1 (+.f64 (exp.f64 b) a)))) |
(fma.f64 1/2 (*.f64 a a) (fma.f64 1/6 (pow.f64 a 3) (+.f64 1 (+.f64 (exp.f64 b) a)))) |
(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 (exp.f64 b) a) (fma.f64 1/6 (pow.f64 a 3) 1))) |
(fma.f64 1/6 (pow.f64 a 3) (+.f64 (+.f64 (exp.f64 b) a) (fma.f64 1/2 (*.f64 a a) 1))) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (+.f64 b (exp.f64 a))) |
(+.f64 (exp.f64 a) (+.f64 1 b)) |
(+.f64 1 (+.f64 b (+.f64 (*.f64 1/2 (pow.f64 b 2)) (exp.f64 a)))) |
(+.f64 (+.f64 1 b) (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) |
(+.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))) |
(+.f64 (exp.f64 a) (+.f64 1 (fma.f64 b (*.f64 b 1/2) b))) |
(+.f64 1 (+.f64 b (+.f64 (*.f64 1/2 (pow.f64 b 2)) (+.f64 (exp.f64 a) (*.f64 1/6 (pow.f64 b 3)))))) |
(+.f64 (+.f64 1 b) (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (*.f64 1/6 (pow.f64 b 3)))) |
(+.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) (fma.f64 1/6 (pow.f64 b 3) (exp.f64 a))))) |
(+.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) (fma.f64 1/6 (pow.f64 b 3) (exp.f64 a))))) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 87 | 2 | 89 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 87 | 3 | 90 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.5b | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
| ✓ | 27.3b | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 30.4b | (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) |
Compiled 1424 to 711 computations (50.1% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (log1p.f64 (exp.f64 a)) |
| ✓ | 0.0b | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
| ✓ | 0.0b | (/.f64 b (+.f64 1 (exp.f64 a))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | a | @ | inf | (/.f64 b (+.f64 1 (exp.f64 a))) |
| 19.0ms | a | @ | -inf | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
| 13.0ms | a | @ | inf | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
| 4.0ms | b | @ | 0 | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
| 1.0ms | a | @ | 0 | (/.f64 b (+.f64 1 (exp.f64 a))) |
| 1× | batch-egg-rewrite |
| 816× | prod-diff_binary64 |
| 317× | fma-def_binary64 |
| 170× | expm1-udef_binary64 |
| 170× | log1p-udef_binary64 |
| 153× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 30 |
| 1 | 189 | 30 |
| 2 | 2657 | 30 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 b (+.f64 1 (exp.f64 a))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(log1p.f64 (exp.f64 a)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (/.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2) (cbrt.f64 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| 1× | egg-herbie |
| 440× | associate-+l+_binary64 |
| 437× | cancel-sign-sub-inv_binary64 |
| 404× | associate-*l*_binary64 |
| 335× | associate-*r*_binary64 |
| 318× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 554 |
| 1 | 149 | 535 |
| 2 | 444 | 517 |
| 3 | 1657 | 513 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 b) |
(-.f64 (*.f64 1/2 b) (*.f64 1/4 (*.f64 a b))) |
(-.f64 (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (*.f64 1/2 b)) (*.f64 1/4 (*.f64 a b))) |
(-.f64 (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (*.f64 1/2 b)) (+.f64 (*.f64 1/4 (*.f64 a b)) (*.f64 1/480 (*.f64 (pow.f64 a 5) b)))) |
(+.f64 (log.f64 2) (*.f64 1/2 b)) |
(-.f64 (+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/2 b))) (*.f64 1/4 (*.f64 a b))) |
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 a 2)) (+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/2 b)))) (*.f64 1/4 (*.f64 a b))) |
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 a 2)) (+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (*.f64 1/2 b))))) (*.f64 1/4 (*.f64 a b))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(log.f64 2) |
(+.f64 (*.f64 1/2 a) (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 a 2)) (+.f64 (*.f64 1/2 a) (log.f64 2))) |
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 a 2)) (+.f64 (*.f64 1/2 a) (log.f64 2))) (*.f64 1/192 (pow.f64 a 4))) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log.f64 (+.f64 1 (exp.f64 a))) |
| Outputs |
|---|
(*.f64 1/2 b) |
(-.f64 (*.f64 1/2 b) (*.f64 1/4 (*.f64 a b))) |
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 b a))) |
(*.f64 b (-.f64 1/2 (*.f64 1/4 a))) |
(-.f64 (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (*.f64 1/2 b)) (*.f64 1/4 (*.f64 a b))) |
(+.f64 (fma.f64 1/48 (*.f64 b (pow.f64 a 3)) (*.f64 1/2 b)) (*.f64 -1/4 (*.f64 b a))) |
(fma.f64 1/48 (*.f64 b (pow.f64 a 3)) (*.f64 b (-.f64 1/2 (*.f64 1/4 a)))) |
(*.f64 b (-.f64 (fma.f64 1/48 (pow.f64 a 3) 1/2) (*.f64 1/4 a))) |
(*.f64 b (+.f64 (fma.f64 1/48 (pow.f64 a 3) 1/2) (*.f64 a -1/4))) |
(-.f64 (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (*.f64 1/2 b)) (+.f64 (*.f64 1/4 (*.f64 a b)) (*.f64 1/480 (*.f64 (pow.f64 a 5) b)))) |
(-.f64 (fma.f64 1/48 (*.f64 b (pow.f64 a 3)) (*.f64 1/2 b)) (fma.f64 1/4 (*.f64 b a) (*.f64 1/480 (*.f64 b (pow.f64 a 5))))) |
(-.f64 (*.f64 b (+.f64 1/2 (*.f64 1/48 (pow.f64 a 3)))) (*.f64 b (+.f64 (*.f64 1/4 a) (*.f64 1/480 (pow.f64 a 5))))) |
(*.f64 b (-.f64 (fma.f64 1/48 (pow.f64 a 3) 1/2) (fma.f64 1/4 a (*.f64 1/480 (pow.f64 a 5))))) |
(*.f64 b (+.f64 (fma.f64 1/48 (pow.f64 a 3) 1/2) (fma.f64 a -1/4 (*.f64 (pow.f64 a 5) -1/480)))) |
(+.f64 (log.f64 2) (*.f64 1/2 b)) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(fma.f64 1/2 b (log.f64 2)) |
(-.f64 (+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/2 b))) (*.f64 1/4 (*.f64 a b))) |
(-.f64 (+.f64 (fma.f64 1/2 a (log.f64 2)) (*.f64 1/2 b)) (*.f64 1/4 (*.f64 b a))) |
(+.f64 (fma.f64 1/2 a (log.f64 2)) (*.f64 b (-.f64 1/2 (*.f64 1/4 a)))) |
(fma.f64 (*.f64 b a) -1/4 (fma.f64 1/2 b (fma.f64 1/2 a (log.f64 2)))) |
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 a 2)) (+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/2 b)))) (*.f64 1/4 (*.f64 a b))) |
(+.f64 (fma.f64 1/8 (*.f64 a a) (+.f64 (fma.f64 1/2 a (log.f64 2)) (*.f64 1/2 b))) (*.f64 -1/4 (*.f64 b a))) |
(fma.f64 1/8 (*.f64 a a) (+.f64 (fma.f64 1/2 a (log.f64 2)) (*.f64 b (-.f64 1/2 (*.f64 1/4 a))))) |
(fma.f64 a (*.f64 a 1/8) (fma.f64 (*.f64 b a) -1/4 (fma.f64 1/2 b (fma.f64 1/2 a (log.f64 2))))) |
(+.f64 (fma.f64 1/2 b (log.f64 2)) (*.f64 a (+.f64 1/2 (fma.f64 a 1/8 (*.f64 b -1/4))))) |
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 a 2)) (+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (*.f64 1/2 b))))) (*.f64 1/4 (*.f64 a b))) |
(+.f64 (fma.f64 1/8 (*.f64 a a) (+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 1/48 (*.f64 b (pow.f64 a 3)) (*.f64 1/2 b)))) (*.f64 -1/4 (*.f64 b a))) |
(fma.f64 1/8 (*.f64 a a) (+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 1/48 (*.f64 b (pow.f64 a 3)) (*.f64 b (-.f64 1/2 (*.f64 1/4 a)))))) |
(fma.f64 (*.f64 b a) -1/4 (fma.f64 1/2 a (fma.f64 a (*.f64 a 1/8) (fma.f64 b (fma.f64 1/48 (pow.f64 a 3) 1/2) (log.f64 2))))) |
(+.f64 (fma.f64 b (fma.f64 1/48 (pow.f64 a 3) 1/2) (log.f64 2)) (*.f64 a (+.f64 1/2 (fma.f64 a 1/8 (*.f64 b -1/4))))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(log.f64 2) |
(+.f64 (*.f64 1/2 a) (log.f64 2)) |
(fma.f64 1/2 a (log.f64 2)) |
(+.f64 (*.f64 1/8 (pow.f64 a 2)) (+.f64 (*.f64 1/2 a) (log.f64 2))) |
(fma.f64 1/8 (*.f64 a a) (fma.f64 1/2 a (log.f64 2))) |
(fma.f64 1/2 a (fma.f64 a (*.f64 a 1/8) (log.f64 2))) |
(fma.f64 a (*.f64 a 1/8) (fma.f64 1/2 a (log.f64 2))) |
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 a 2)) (+.f64 (*.f64 1/2 a) (log.f64 2))) (*.f64 1/192 (pow.f64 a 4))) |
(+.f64 (fma.f64 1/8 (*.f64 a a) (fma.f64 1/2 a (log.f64 2))) (*.f64 -1/192 (pow.f64 a 4))) |
(+.f64 (fma.f64 1/8 (*.f64 a a) (fma.f64 1/2 a (log.f64 2))) (*.f64 (pow.f64 a 4) -1/192)) |
(fma.f64 (pow.f64 a 4) -1/192 (fma.f64 1/2 a (fma.f64 a (*.f64 a 1/8) (log.f64 2)))) |
(fma.f64 (pow.f64 a 4) -1/192 (fma.f64 a (*.f64 a 1/8) (fma.f64 1/2 a (log.f64 2)))) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 133 | 1 | 134 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 133 | 4 | 137 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.5b | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
| ✓ | 27.3b | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| ▶ | 1.2b | (+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3)) |
| 30.4b | (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) |
Compiled 2317 to 1267 computations (45.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (log1p.f64 (exp.f64 a)) | |
| 0.0b | (/.f64 b (+.f64 1 (exp.f64 a))) | |
| ✓ | 0.6b | (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
| ✓ | 0.7b | (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | a | @ | 0 | (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3) |
| 5.0ms | b | @ | -inf | (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3) |
| 3.0ms | a | @ | inf | (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3) |
| 2.0ms | a | @ | -inf | (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3) |
| 2.0ms | b | @ | 0 | (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3) |
| 1× | batch-egg-rewrite |
| 871× | log1p-expm1-u_binary64 |
| 871× | expm1-log1p-u_binary64 |
| 93× | add-sqr-sqrt_binary64 |
| 88× | add-log-exp_binary64 |
| 88× | pow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 20 |
| 1 | 211 | 20 |
| 2 | 2393 | 20 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3) |
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b b)) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/6) (*.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/6) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (neg.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2)) 3) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/6) 3) (pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 b b)) 1) (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 b (sqrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 b b)) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 1 (exp.f64 (*.f64 a 3)))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) 1) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2))) (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/6)) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (+.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (exp.f64 a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 b b)) (/.f64 (+.f64 1 (exp.f64 a)) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 b) (/.f64 (+.f64 1 (exp.f64 a)) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b) (neg.f64 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (sqrt.f64 (+.f64 1 (exp.f64 a)))) (sqrt.f64 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b 1) (+.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2)) (cbrt.f64 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) (cbrt.f64 b)) (cbrt.f64 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (neg.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 b) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 b) (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 b) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/6) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3) (pow.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 b) (cbrt.f64 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 b)) (cbrt.f64 (neg.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 b)) (neg.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/3 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))))) |
| 1× | egg-herbie |
| 776× | associate-*r*_binary64 |
| 736× | associate-*l*_binary64 |
| 450× | fma-def_binary64 |
| 315× | cancel-sign-sub-inv_binary64 |
| 166× | unswap-sqr_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 722 |
| 1 | 309 | 715 |
| 2 | 1119 | 700 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 b) |
(-.f64 (*.f64 1/2 b) (*.f64 1/4 (*.f64 a (*.f64 (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3) (pow.f64 (pow.f64 b 13) 1/9))))) |
(-.f64 (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 1/2 b) (*.f64 1/1296 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 b 7) 1/3))))) (+.f64 (*.f64 1/4 (*.f64 a (*.f64 (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3) (pow.f64 (pow.f64 b 13) 1/9)))) (*.f64 1/648 (*.f64 (*.f64 (pow.f64 a 3) (cbrt.f64 1/2)) (pow.f64 (pow.f64 b 7) 1/3))))) |
(-.f64 (+.f64 (*.f64 1/7776 (*.f64 (pow.f64 a 4) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (pow.f64 b 25) 1/9)))) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 1/2 b) (*.f64 1/1296 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 b 7) 1/3)))))) (+.f64 (*.f64 1/4 (*.f64 a (*.f64 (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3) (pow.f64 (pow.f64 b 13) 1/9)))) (+.f64 (*.f64 1/15552 (*.f64 (pow.f64 a 4) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 11)) 1/3) (pow.f64 (pow.f64 b 25) 1/9)))) (*.f64 1/648 (*.f64 (*.f64 (pow.f64 a 3) (cbrt.f64 1/2)) (pow.f64 (pow.f64 b 7) 1/3)))))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)) |
(-.f64 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)) (*.f64 1/12 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (pow.f64 b 7) 1/9))))) |
(-.f64 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)) (+.f64 (*.f64 1/144 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (pow.f64 (pow.f64 b 11) 1/9)))) (*.f64 1/12 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (pow.f64 b 7) 1/9)))))) |
(-.f64 (+.f64 (*.f64 1/144 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 b 1/3))) (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3))) (+.f64 (*.f64 5/5184 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 4)) (pow.f64 (pow.f64 b 5) 1/3))) (+.f64 (*.f64 1/144 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (pow.f64 (pow.f64 b 11) 1/9)))) (*.f64 1/12 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (pow.f64 b 7) 1/9))))))) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
| Outputs |
|---|
(*.f64 1/2 b) |
(-.f64 (*.f64 1/2 b) (*.f64 1/4 (*.f64 a (*.f64 (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3) (pow.f64 (pow.f64 b 13) 1/9))))) |
(-.f64 (*.f64 1/2 b) (*.f64 (*.f64 1/4 a) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18))))) |
(fma.f64 1/2 b (*.f64 (*.f64 a (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)))) -1/4)) |
(fma.f64 1/2 b (*.f64 (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)) (*.f64 (*.f64 a (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2)))) -1/4))) |
(-.f64 (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 1/2 b) (*.f64 1/1296 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 b 7) 1/3))))) (+.f64 (*.f64 1/4 (*.f64 a (*.f64 (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3) (pow.f64 (pow.f64 b 13) 1/9)))) (*.f64 1/648 (*.f64 (*.f64 (pow.f64 a 3) (cbrt.f64 1/2)) (pow.f64 (pow.f64 b 7) 1/3))))) |
(-.f64 (fma.f64 1/48 (*.f64 b (pow.f64 a 3)) (fma.f64 1/2 b (*.f64 1/1296 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 b 7)))))) (fma.f64 1/4 (*.f64 a (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)))) (*.f64 1/648 (*.f64 (pow.f64 a 3) (*.f64 (cbrt.f64 1/2) (cbrt.f64 (pow.f64 b 7))))))) |
(-.f64 (fma.f64 1/48 (*.f64 b (pow.f64 a 3)) (fma.f64 1/1296 (/.f64 (*.f64 (pow.f64 a 3) (cbrt.f64 (pow.f64 b 7))) (pow.f64 (cbrt.f64 1/2) 2)) (*.f64 1/2 b))) (fma.f64 1/648 (*.f64 (cbrt.f64 1/2) (*.f64 (pow.f64 a 3) (cbrt.f64 (pow.f64 b 7)))) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18))) (*.f64 1/4 a)))) |
(fma.f64 b (fma.f64 1/48 (pow.f64 a 3) 1/2) (fma.f64 1/1296 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 b 7))) (fma.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2))) (*.f64 (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)) a)) -1/4 (*.f64 (cbrt.f64 (pow.f64 b 7)) (*.f64 (*.f64 (cbrt.f64 1/2) (pow.f64 a 3)) -1/648))))) |
(-.f64 (+.f64 (*.f64 1/7776 (*.f64 (pow.f64 a 4) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (pow.f64 b 25) 1/9)))) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 1/2 b) (*.f64 1/1296 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 b 7) 1/3)))))) (+.f64 (*.f64 1/4 (*.f64 a (*.f64 (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3) (pow.f64 (pow.f64 b 13) 1/9)))) (+.f64 (*.f64 1/15552 (*.f64 (pow.f64 a 4) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 11)) 1/3) (pow.f64 (pow.f64 b 25) 1/9)))) (*.f64 1/648 (*.f64 (*.f64 (pow.f64 a 3) (cbrt.f64 1/2)) (pow.f64 (pow.f64 b 7) 1/3)))))) |
(-.f64 (fma.f64 1/7776 (*.f64 (pow.f64 a 4) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (pow.f64 (pow.f64 b 25) 1/18) (pow.f64 (pow.f64 b 25) 1/18)))) (fma.f64 1/48 (*.f64 b (pow.f64 a 3)) (fma.f64 1/2 b (*.f64 1/1296 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 b 7))))))) (fma.f64 1/4 (*.f64 a (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)))) (fma.f64 1/15552 (*.f64 (pow.f64 a 4) (*.f64 (*.f64 (pow.f64 (pow.f64 b 25) 1/18) (pow.f64 (pow.f64 b 25) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 11))))) (*.f64 1/648 (*.f64 (pow.f64 a 3) (*.f64 (cbrt.f64 1/2) (cbrt.f64 (pow.f64 b 7)))))))) |
(-.f64 (fma.f64 1/7776 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (*.f64 (pow.f64 (pow.f64 b 25) 1/18) (pow.f64 (pow.f64 b 25) 1/18)) (pow.f64 a 4))) (fma.f64 1/48 (*.f64 b (pow.f64 a 3)) (fma.f64 1/1296 (/.f64 (*.f64 (pow.f64 a 3) (cbrt.f64 (pow.f64 b 7))) (pow.f64 (cbrt.f64 1/2) 2)) (*.f64 1/2 b)))) (fma.f64 1/4 (*.f64 a (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)))) (fma.f64 1/15552 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 11))) (*.f64 (*.f64 (pow.f64 (pow.f64 b 25) 1/18) (pow.f64 (pow.f64 b 25) 1/18)) (pow.f64 a 4))) (*.f64 (pow.f64 a 3) (*.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 (pow.f64 b 7))) 1/648))))) |
(-.f64 (fma.f64 1/7776 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (*.f64 (pow.f64 (pow.f64 b 25) 1/18) (pow.f64 (pow.f64 b 25) 1/18)) (pow.f64 a 4))) (fma.f64 b (fma.f64 1/48 (pow.f64 a 3) 1/2) (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (*.f64 (cbrt.f64 (pow.f64 b 7)) 1/1296)))) (fma.f64 (*.f64 (*.f64 (pow.f64 a 4) 1/15552) (*.f64 (pow.f64 (pow.f64 b 25) 1/18) (pow.f64 (pow.f64 b 25) 1/18))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 11))) (fma.f64 1/4 (*.f64 (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2))) (*.f64 (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)) a)) (*.f64 (pow.f64 a 3) (*.f64 (cbrt.f64 (pow.f64 b 7)) (*.f64 (cbrt.f64 1/2) 1/648)))))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)) |
(*.f64 (cbrt.f64 1/2) (cbrt.f64 b)) |
(-.f64 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)) (*.f64 1/12 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (pow.f64 b 7) 1/9))))) |
(-.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 b)) (*.f64 (*.f64 1/12 a) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18))))) |
(fma.f64 (cbrt.f64 1/2) (cbrt.f64 b) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18)) a)) -1/12)) |
(fma.f64 (cbrt.f64 1/2) (cbrt.f64 b) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18)) a) -1/12))) |
(-.f64 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)) (+.f64 (*.f64 1/144 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (pow.f64 (pow.f64 b 11) 1/9)))) (*.f64 1/12 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (pow.f64 b 7) 1/9)))))) |
(-.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 b)) (fma.f64 1/144 (*.f64 (*.f64 (*.f64 a a) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)))) (*.f64 (pow.f64 (pow.f64 b 11) 1/18) (pow.f64 (pow.f64 b 11) 1/18))) (*.f64 (*.f64 1/12 a) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18)))))) |
(-.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 b)) (fma.f64 1/144 (*.f64 (*.f64 (pow.f64 (pow.f64 b 11) 1/18) (pow.f64 (pow.f64 b 11) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (*.f64 a a))) (*.f64 (*.f64 (*.f64 a 1/12) (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) |
(fma.f64 (cbrt.f64 1/2) (cbrt.f64 b) (fma.f64 (*.f64 a (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18)))) -1/12 (*.f64 (*.f64 (*.f64 (*.f64 a a) -1/144) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)))) (*.f64 (pow.f64 (pow.f64 b 11) 1/18) (pow.f64 (pow.f64 b 11) 1/18))))) |
(-.f64 (+.f64 (*.f64 1/144 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 b 1/3))) (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3))) (+.f64 (*.f64 5/5184 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 4)) (pow.f64 (pow.f64 b 5) 1/3))) (+.f64 (*.f64 1/144 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (pow.f64 (pow.f64 b 11) 1/9)))) (*.f64 1/12 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (pow.f64 b 7) 1/9))))))) |
(-.f64 (fma.f64 1/144 (/.f64 (*.f64 (pow.f64 a 3) (cbrt.f64 b)) (pow.f64 (cbrt.f64 1/2) 2)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 b))) (fma.f64 5/5184 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 4)) (cbrt.f64 (pow.f64 b 5))) (fma.f64 1/144 (*.f64 (*.f64 (*.f64 a a) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)))) (*.f64 (pow.f64 (pow.f64 b 11) 1/18) (pow.f64 (pow.f64 b 11) 1/18))) (*.f64 (*.f64 1/12 a) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18))))))) |
(-.f64 (*.f64 (cbrt.f64 b) (+.f64 (cbrt.f64 1/2) (/.f64 (*.f64 1/144 (pow.f64 a 3)) (pow.f64 (cbrt.f64 1/2) 2)))) (fma.f64 5/5184 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 4)) (cbrt.f64 (pow.f64 b 5))) (fma.f64 1/144 (*.f64 (*.f64 (pow.f64 (pow.f64 b 11) 1/18) (pow.f64 (pow.f64 b 11) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (*.f64 a a))) (*.f64 (*.f64 (*.f64 a 1/12) (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))))) |
(-.f64 (*.f64 (cbrt.f64 b) (fma.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) 1/144 (cbrt.f64 1/2))) (fma.f64 a (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18)) 1/12)) (fma.f64 1/144 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (*.f64 (*.f64 (pow.f64 (pow.f64 b 11) 1/18) a) (*.f64 (pow.f64 (pow.f64 b 11) 1/18) a))) (*.f64 (cbrt.f64 (pow.f64 b 5)) (*.f64 5/2592 (/.f64 (pow.f64 a 3) (cbrt.f64 1/2))))))) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 162 | 1 | 163 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 163 | 4 | 167 |
| Status | Error | Program |
|---|---|---|
| ▶ | 1.6b | (+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2))) 3)) |
| ✓ | 0.5b | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
| ✓ | 27.3b | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 30.4b | (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) |
Compiled 3524 to 2254 computations (36% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.6b | (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) | |
| ✓ | 0.6b | (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2)) |
| ✓ | 0.7b | (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) |
| ✓ | 0.7b | (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2))) 3) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 62.0ms | a | @ | -inf | (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) |
| 31.0ms | a | @ | inf | (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2)) |
| 21.0ms | a | @ | inf | (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) |
| 19.0ms | b | @ | 0 | (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) |
| 17.0ms | a | @ | -inf | (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2)) |
| 1× | batch-egg-rewrite |
| 200× | expm1-udef_binary64 |
| 200× | log1p-udef_binary64 |
| 173× | log-pow_binary64 |
| 170× | fma-def_binary64 |
| 142× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 61 |
| 1 | 312 | 38 |
| 2 | 3532 | 38 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2))) 3) |
(cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) |
(cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))) (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 4)) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/6) (*.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/6) (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (neg.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/6) 3) (pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (/.f64 b (hypot.f64 1 (sqrt.f64 (exp.f64 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/6)) (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/6) 1/3) (pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (cbrt.f64 b)) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/9 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/9 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/6)) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/6) (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 4)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (*.f64 1/9 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (*.f64 1/9 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))))))))) |
| 1× | egg-herbie |
| 722× | associate-*r*_binary64 |
| 707× | associate-*l*_binary64 |
| 444× | fma-def_binary64 |
| 352× | cancel-sign-sub-inv_binary64 |
| 153× | unswap-sqr_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 2012 |
| 1 | 421 | 1855 |
| 2 | 1375 | 1699 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 b) |
(-.f64 (*.f64 1/2 b) (*.f64 1/4 (*.f64 a (*.f64 (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3) (pow.f64 (pow.f64 b 13) 1/9))))) |
(-.f64 (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 1/2 b) (*.f64 1/1296 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 b 7) 1/3))))) (+.f64 (*.f64 1/4 (*.f64 a (*.f64 (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3) (pow.f64 (pow.f64 b 13) 1/9)))) (*.f64 1/648 (*.f64 (*.f64 (pow.f64 a 3) (cbrt.f64 1/2)) (pow.f64 (pow.f64 b 7) 1/3))))) |
(-.f64 (+.f64 (*.f64 1/7776 (*.f64 (pow.f64 a 4) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (pow.f64 b 25) 1/9)))) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 1/2 b) (*.f64 1/1296 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 b 7) 1/3)))))) (+.f64 (*.f64 1/4 (*.f64 a (*.f64 (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3) (pow.f64 (pow.f64 b 13) 1/9)))) (+.f64 (*.f64 1/15552 (*.f64 (pow.f64 a 4) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 11)) 1/3) (pow.f64 (pow.f64 b 25) 1/9)))) (*.f64 1/648 (*.f64 (*.f64 (pow.f64 a 3) (cbrt.f64 1/2)) (pow.f64 (pow.f64 b 7) 1/3)))))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (log.f64 b)))) |
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (log.f64 b)))) |
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (log.f64 b)))) |
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (log.f64 b)))) |
(exp.f64 (*.f64 1/9 (-.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (log.f64 (/.f64 1 b))))) |
(exp.f64 (*.f64 1/9 (-.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (log.f64 (/.f64 1 b))))) |
(exp.f64 (*.f64 1/9 (-.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (log.f64 (/.f64 1 b))))) |
(exp.f64 (*.f64 1/9 (-.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (log.f64 (/.f64 1 b))))) |
(*.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (log.f64 (/.f64 -1 b))))) (pow.f64 (cbrt.f64 -1) 1/3)) |
(*.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (log.f64 (/.f64 -1 b))))) (pow.f64 (cbrt.f64 -1) 1/3)) |
(*.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (log.f64 (/.f64 -1 b))))) (pow.f64 (cbrt.f64 -1) 1/3)) |
(*.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (log.f64 (/.f64 -1 b))))) (pow.f64 (cbrt.f64 -1) 1/3)) |
(pow.f64 (*.f64 1/2 b) 1/9) |
(-.f64 (pow.f64 (*.f64 1/2 b) 1/9) (*.f64 1/18 (*.f64 a (pow.f64 (*.f64 b 1/2) 1/9)))) |
(-.f64 (pow.f64 (*.f64 1/2 b) 1/9) (+.f64 (*.f64 1/18 (*.f64 a (pow.f64 (*.f64 b 1/2) 1/9))) (*.f64 1/81 (*.f64 (pow.f64 a 2) (pow.f64 (*.f64 b 1/2) 1/9))))) |
(-.f64 (+.f64 (pow.f64 (*.f64 1/2 b) 1/9) (*.f64 13/17496 (*.f64 (pow.f64 a 3) (pow.f64 (*.f64 b 1/2) 1/9)))) (+.f64 (*.f64 1/18 (*.f64 a (pow.f64 (*.f64 b 1/2) 1/9))) (*.f64 1/81 (*.f64 (pow.f64 a 2) (pow.f64 (*.f64 b 1/2) 1/9))))) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/9) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/9) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/9) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/9) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/9) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/9) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/9) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/9) |
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 2 (log.f64 b))))) |
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 2 (log.f64 b))))) |
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 2 (log.f64 b))))) |
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 2 (log.f64 b))))) |
(exp.f64 (*.f64 1/9 (-.f64 (log.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 2 (log.f64 (/.f64 1 b)))))) |
(exp.f64 (*.f64 1/9 (-.f64 (log.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 2 (log.f64 (/.f64 1 b)))))) |
(exp.f64 (*.f64 1/9 (-.f64 (log.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 2 (log.f64 (/.f64 1 b)))))) |
(exp.f64 (*.f64 1/9 (-.f64 (log.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 2 (log.f64 (/.f64 1 b)))))) |
(*.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 2 (log.f64 (/.f64 -1 b)))))) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)) |
(*.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 2 (log.f64 (/.f64 -1 b)))))) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)) |
(*.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 2 (log.f64 (/.f64 -1 b)))))) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)) |
(*.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 2 (log.f64 (/.f64 -1 b)))))) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)) |
(pow.f64 (*.f64 1/4 (pow.f64 b 2)) 1/9) |
(-.f64 (pow.f64 (*.f64 1/4 (pow.f64 b 2)) 1/9) (*.f64 1/9 (*.f64 (pow.f64 (*.f64 1/4 (pow.f64 b 2)) 1/9) a))) |
(-.f64 (pow.f64 (*.f64 1/4 (pow.f64 b 2)) 1/9) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (*.f64 1/4 (pow.f64 b 2)) 1/9) a)) (*.f64 7/324 (*.f64 (pow.f64 (*.f64 1/4 (pow.f64 b 2)) 1/9) (pow.f64 a 2))))) |
(-.f64 (+.f64 (*.f64 25/8748 (*.f64 (pow.f64 (*.f64 1/4 (pow.f64 b 2)) 1/9) (pow.f64 a 3))) (pow.f64 (*.f64 1/4 (pow.f64 b 2)) 1/9)) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (*.f64 1/4 (pow.f64 b 2)) 1/9) a)) (*.f64 7/324 (*.f64 (pow.f64 (*.f64 1/4 (pow.f64 b 2)) 1/9) (pow.f64 a 2))))) |
(pow.f64 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) 1/9) |
(pow.f64 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) 1/9) |
(pow.f64 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) 1/9) |
(pow.f64 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) 1/9) |
(pow.f64 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) 1/9) |
(pow.f64 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) 1/9) |
(pow.f64 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) 1/9) |
(pow.f64 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) 1/9) |
| Outputs |
|---|
(*.f64 1/2 b) |
(-.f64 (*.f64 1/2 b) (*.f64 1/4 (*.f64 a (*.f64 (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3) (pow.f64 (pow.f64 b 13) 1/9))))) |
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)))))) |
(fma.f64 1/2 b (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (*.f64 (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)) a)) -1/4)) |
(fma.f64 1/2 b (*.f64 (*.f64 (*.f64 a -1/4) (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18))) (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2))))) |
(-.f64 (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 1/2 b) (*.f64 1/1296 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 b 7) 1/3))))) (+.f64 (*.f64 1/4 (*.f64 a (*.f64 (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3) (pow.f64 (pow.f64 b 13) 1/9)))) (*.f64 1/648 (*.f64 (*.f64 (pow.f64 a 3) (cbrt.f64 1/2)) (pow.f64 (pow.f64 b 7) 1/3))))) |
(-.f64 (fma.f64 1/48 (*.f64 b (pow.f64 a 3)) (fma.f64 1/2 b (*.f64 1/1296 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 b 7)))))) (fma.f64 1/4 (*.f64 a (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)))) (*.f64 1/648 (*.f64 (cbrt.f64 (pow.f64 b 7)) (*.f64 (cbrt.f64 1/2) (pow.f64 a 3)))))) |
(-.f64 (fma.f64 1/48 (*.f64 b (pow.f64 a 3)) (fma.f64 1/1296 (/.f64 (*.f64 (pow.f64 a 3) (cbrt.f64 (pow.f64 b 7))) (pow.f64 (cbrt.f64 1/2) 2)) (*.f64 1/2 b))) (fma.f64 1/4 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (*.f64 (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)) a)) (*.f64 (cbrt.f64 (pow.f64 b 7)) (*.f64 1/648 (*.f64 (cbrt.f64 1/2) (pow.f64 a 3)))))) |
(fma.f64 b (fma.f64 1/48 (pow.f64 a 3) 1/2) (fma.f64 1/1296 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 b 7))) (fma.f64 (*.f64 a (*.f64 (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2))) (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)))) -1/4 (*.f64 (cbrt.f64 (pow.f64 b 7)) (*.f64 (*.f64 (cbrt.f64 1/2) (pow.f64 a 3)) -1/648))))) |
(-.f64 (+.f64 (*.f64 1/7776 (*.f64 (pow.f64 a 4) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (pow.f64 b 25) 1/9)))) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 1/2 b) (*.f64 1/1296 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 b 7) 1/3)))))) (+.f64 (*.f64 1/4 (*.f64 a (*.f64 (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3) (pow.f64 (pow.f64 b 13) 1/9)))) (+.f64 (*.f64 1/15552 (*.f64 (pow.f64 a 4) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 11)) 1/3) (pow.f64 (pow.f64 b 25) 1/9)))) (*.f64 1/648 (*.f64 (*.f64 (pow.f64 a 3) (cbrt.f64 1/2)) (pow.f64 (pow.f64 b 7) 1/3)))))) |
(-.f64 (fma.f64 1/7776 (*.f64 (pow.f64 a 4) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (pow.f64 (pow.f64 b 25) 1/18) (pow.f64 (pow.f64 b 25) 1/18)))) (fma.f64 1/48 (*.f64 b (pow.f64 a 3)) (fma.f64 1/2 b (*.f64 1/1296 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 b 7))))))) (fma.f64 1/4 (*.f64 a (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)))) (fma.f64 1/15552 (*.f64 (pow.f64 a 4) (*.f64 (*.f64 (pow.f64 (pow.f64 b 25) 1/18) (pow.f64 (pow.f64 b 25) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 11))))) (*.f64 1/648 (*.f64 (cbrt.f64 (pow.f64 b 7)) (*.f64 (cbrt.f64 1/2) (pow.f64 a 3))))))) |
(-.f64 (fma.f64 1/7776 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (*.f64 (pow.f64 (pow.f64 b 25) 1/18) (pow.f64 (pow.f64 b 25) 1/18)) (pow.f64 a 4))) (fma.f64 1/48 (*.f64 b (pow.f64 a 3)) (fma.f64 1/1296 (/.f64 (*.f64 (pow.f64 a 3) (cbrt.f64 (pow.f64 b 7))) (pow.f64 (cbrt.f64 1/2) 2)) (*.f64 1/2 b)))) (fma.f64 1/4 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (*.f64 (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)) a)) (fma.f64 1/15552 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 11))) (*.f64 (*.f64 (pow.f64 (pow.f64 b 25) 1/18) (pow.f64 (pow.f64 b 25) 1/18)) (pow.f64 a 4))) (*.f64 (cbrt.f64 (pow.f64 b 7)) (*.f64 1/648 (*.f64 (cbrt.f64 1/2) (pow.f64 a 3))))))) |
(-.f64 (fma.f64 1/7776 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (*.f64 (pow.f64 (pow.f64 b 25) 1/18) (pow.f64 (pow.f64 b 25) 1/18)) (pow.f64 a 4))) (fma.f64 b (fma.f64 1/48 (pow.f64 a 3) 1/2) (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (*.f64 (cbrt.f64 (pow.f64 b 7)) 1/1296)))) (fma.f64 (pow.f64 a 3) (*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (pow.f64 b 7)) 1/648)) (fma.f64 (*.f64 1/15552 (*.f64 (*.f64 (pow.f64 a 4) (pow.f64 (pow.f64 b 25) 1/18)) (pow.f64 (pow.f64 b 25) 1/18))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 11))) (*.f64 a (*.f64 (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2))) (*.f64 (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)) 1/4)))))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (log.f64 b)))) |
(pow.f64 (exp.f64 1/9) (+.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 a)))) (log.f64 b))) |
(pow.f64 (exp.f64 1/9) (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))) |
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (log.f64 b)))) |
(pow.f64 (exp.f64 1/9) (+.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 a)))) (log.f64 b))) |
(pow.f64 (exp.f64 1/9) (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))) |
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (log.f64 b)))) |
(pow.f64 (exp.f64 1/9) (+.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 a)))) (log.f64 b))) |
(pow.f64 (exp.f64 1/9) (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))) |
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (log.f64 b)))) |
(pow.f64 (exp.f64 1/9) (+.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 a)))) (log.f64 b))) |
(pow.f64 (exp.f64 1/9) (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))) |
(exp.f64 (*.f64 1/9 (-.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (log.f64 (/.f64 1 b))))) |
(pow.f64 (exp.f64 1/9) (+.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 a)))) (log.f64 b))) |
(pow.f64 (exp.f64 1/9) (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))) |
(exp.f64 (*.f64 1/9 (-.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (log.f64 (/.f64 1 b))))) |
(pow.f64 (exp.f64 1/9) (+.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 a)))) (log.f64 b))) |
(pow.f64 (exp.f64 1/9) (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))) |
(exp.f64 (*.f64 1/9 (-.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (log.f64 (/.f64 1 b))))) |
(pow.f64 (exp.f64 1/9) (+.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 a)))) (log.f64 b))) |
(pow.f64 (exp.f64 1/9) (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))) |
(exp.f64 (*.f64 1/9 (-.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (log.f64 (/.f64 1 b))))) |
(pow.f64 (exp.f64 1/9) (+.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 a)))) (log.f64 b))) |
(pow.f64 (exp.f64 1/9) (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))) |
(*.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (log.f64 (/.f64 -1 b))))) (pow.f64 (cbrt.f64 -1) 1/3)) |
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 a)))) (log.f64 (/.f64 -1 b)))) (cbrt.f64 (cbrt.f64 -1))) |
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (log.f64 (/.f64 -1 b)))) (cbrt.f64 (cbrt.f64 -1))) |
(*.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (log.f64 (/.f64 -1 b))))) (pow.f64 (cbrt.f64 -1) 1/3)) |
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 a)))) (log.f64 (/.f64 -1 b)))) (cbrt.f64 (cbrt.f64 -1))) |
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (log.f64 (/.f64 -1 b)))) (cbrt.f64 (cbrt.f64 -1))) |
(*.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (log.f64 (/.f64 -1 b))))) (pow.f64 (cbrt.f64 -1) 1/3)) |
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 a)))) (log.f64 (/.f64 -1 b)))) (cbrt.f64 (cbrt.f64 -1))) |
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (log.f64 (/.f64 -1 b)))) (cbrt.f64 (cbrt.f64 -1))) |
(*.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (log.f64 (/.f64 -1 b))))) (pow.f64 (cbrt.f64 -1) 1/3)) |
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 a)))) (log.f64 (/.f64 -1 b)))) (cbrt.f64 (cbrt.f64 -1))) |
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (log.f64 (/.f64 -1 b)))) (cbrt.f64 (cbrt.f64 -1))) |
(pow.f64 (*.f64 1/2 b) 1/9) |
(*.f64 (pow.f64 (*.f64 1/2 b) 1/18) (pow.f64 (*.f64 1/2 b) 1/18)) |
(-.f64 (pow.f64 (*.f64 1/2 b) 1/9) (*.f64 1/18 (*.f64 a (pow.f64 (*.f64 b 1/2) 1/9)))) |
(+.f64 (*.f64 (pow.f64 (*.f64 1/2 b) 1/18) (pow.f64 (*.f64 1/2 b) 1/18)) (*.f64 -1/18 (*.f64 a (*.f64 (pow.f64 (*.f64 1/2 b) 1/18) (pow.f64 (*.f64 1/2 b) 1/18))))) |
(fma.f64 (pow.f64 (*.f64 1/2 b) 1/18) (pow.f64 (*.f64 1/2 b) 1/18) (*.f64 (*.f64 -1/18 a) (*.f64 (pow.f64 (*.f64 1/2 b) 1/18) (pow.f64 (*.f64 1/2 b) 1/18)))) |
(*.f64 (+.f64 (*.f64 a -1/18) 1) (*.f64 (pow.f64 (*.f64 1/2 b) 1/18) (pow.f64 (*.f64 1/2 b) 1/18))) |
(-.f64 (pow.f64 (*.f64 1/2 b) 1/9) (+.f64 (*.f64 1/18 (*.f64 a (pow.f64 (*.f64 b 1/2) 1/9))) (*.f64 1/81 (*.f64 (pow.f64 a 2) (pow.f64 (*.f64 b 1/2) 1/9))))) |
(-.f64 (*.f64 (pow.f64 (*.f64 1/2 b) 1/18) (pow.f64 (*.f64 1/2 b) 1/18)) (fma.f64 1/18 (*.f64 a (*.f64 (pow.f64 (*.f64 1/2 b) 1/18) (pow.f64 (*.f64 1/2 b) 1/18))) (*.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 (pow.f64 (*.f64 1/2 b) 1/18) (pow.f64 (*.f64 1/2 b) 1/18))))) |
(-.f64 (*.f64 (pow.f64 (*.f64 1/2 b) 1/18) (pow.f64 (*.f64 1/2 b) 1/18)) (*.f64 (*.f64 (pow.f64 (*.f64 1/2 b) 1/18) (pow.f64 (*.f64 1/2 b) 1/18)) (+.f64 (*.f64 a 1/18) (*.f64 1/81 (*.f64 a a))))) |
(-.f64 (*.f64 (pow.f64 (*.f64 1/2 b) 1/18) (pow.f64 (*.f64 1/2 b) 1/18)) (*.f64 (*.f64 (pow.f64 (*.f64 1/2 b) 1/18) (pow.f64 (*.f64 1/2 b) 1/18)) (*.f64 a (+.f64 1/18 (*.f64 1/81 a))))) |
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(pow.f64 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) 1/9) |
(*.f64 (pow.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) 1/18) (pow.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) 1/18)) |
(*.f64 (pow.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) 1/18) (pow.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) 1/18)) |
(pow.f64 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) 1/9) |
(*.f64 (pow.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) 1/18) (pow.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) 1/18)) |
(*.f64 (pow.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) 1/18) (pow.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) 1/18)) |
(pow.f64 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) 1/9) |
(*.f64 (pow.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) 1/18) (pow.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) 1/18)) |
(*.f64 (pow.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) 1/18) (pow.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) 1/18)) |
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 215 | 1 | 216 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 216 | 4 | 220 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.5b | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
| 2.3b | (+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) 2) 3)) 3)) | |
| ✓ | 27.3b | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 30.4b | (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) |
Compiled 6772 to 4603 computations (32% saved)
Total 0.6b remaining (49.7%)
Threshold costs 0.6b (49.7%)
Compiled 450 to 278 computations (38.2% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 16 |
| 1 | 13 | 16 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
| Outputs |
|---|
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) |
| 1× | fuel |
Compiled 110 to 77 computations (30% saved)
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