Time bar (total: 23.5s)
| 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 |
Compiled 9 to 7 computations (22.2% saved)
| 10.6s | 7927× | body | 8192 | exit |
| 1.6s | 2032× | body | 1024 | valid |
| 566.0ms | 4327× | body | 64 | valid |
| 480.0ms | 953× | body | 512 | valid |
| 200.0ms | 197× | body | 2048 | valid |
| 168.0ms | 500× | body | 256 | valid |
| 59.0ms | 247× | body | 128 | valid |
| 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 |
|---|---|---|
| ▶ | 30.2b | (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)) |
| ✓ | 4.0b | (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))) |
| 20.0ms | b | @ | inf | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 20.0ms | a | @ | -inf | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 14.0ms | b | @ | -inf | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 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 |
| 650× | add-exp-log_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 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (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 (exp.f64 (+.f64 a a)) (*.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 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.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 (exp.f64 (+.f64 a a)) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (exp.f64 (+.f64 a a)) (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 (exp.f64 (+.f64 a a)) (*.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 (exp.f64 (+.f64 a a)) (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 (exp.f64 (+.f64 a a)) (*.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 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (exp.f64 (+.f64 a a)) (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 (exp.f64 (+.f64 a a)) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (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) (exp.f64 (+.f64 a a))) (-.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 cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))))) (#(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 exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(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 |
| 691× | distribute-rgt-in_binary64 |
| 678× | distribute-lft-in_binary64 |
| 456× | associate-*l/_binary64 |
| 412× | associate-*r/_binary64 |
| 359× | associate-/r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 440 |
| 1 | 214 | 434 |
| 2 | 668 | 428 |
| 3 | 3090 | 416 |
| 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 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))))) |
(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 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))) |
(+.f64 1 (exp.f64 b)) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b)))) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) (exp.f64 b))))) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (+.f64 (exp.f64 a) b)) |
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) |
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))) |
| 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 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))) |
(fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))) |
(+.f64 (log1p.f64 (exp.f64 b)) (fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 a (+.f64 1 (exp.f64 b))))) |
(fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a (*.f64 a 1/2)) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))) |
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (log1p.f64 (exp.f64 b)))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))))) |
(fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 1/6 (pow.f64 a 3)) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) |
(+.f64 (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (log1p.f64 (exp.f64 b))) (fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 a (+.f64 1 (exp.f64 b))))) |
(+.f64 (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (log1p.f64 (exp.f64 b))) (fma.f64 1/2 (*.f64 a (*.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (/.f64 a (+.f64 1 (exp.f64 b))))) |
(+.f64 (fma.f64 (pow.f64 a 3) (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 a (+.f64 1 (exp.f64 b)))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (log1p.f64 (exp.f64 b)))) |
(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 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 (*.f64 1/2 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 b b) (/.f64 b (+.f64 1 (exp.f64 a))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a))))) |
(fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))) |
(fma.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a)))))) |
(+.f64 (fma.f64 (*.f64 1/2 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 b b) (/.f64 b (+.f64 1 (exp.f64 a)))) (fma.f64 1/6 (*.f64 (pow.f64 b 3) (+.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (log1p.f64 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 1/6 (pow.f64 b 3)) (fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))) |
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (fma.f64 (pow.f64 b 3) (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (log1p.f64 (exp.f64 a))))) |
(+.f64 1 (exp.f64 b)) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 (+.f64 1 a) (exp.f64 b)) |
(+.f64 1 (+.f64 (exp.f64 b) a)) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b)))) |
(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 1 a) (exp.f64 b))) |
(+.f64 (+.f64 (exp.f64 b) a) (fma.f64 1/2 (*.f64 a a) 1)) |
(+.f64 (exp.f64 b) (fma.f64 a (*.f64 a 1/2) (+.f64 1 a))) |
(+.f64 1 (fma.f64 a (*.f64 a 1/2) (+.f64 (exp.f64 b) a))) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) (exp.f64 b))))) |
(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 1 a) (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))) |
(+.f64 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))) (fma.f64 1/2 (*.f64 a a) 1)) |
(+.f64 1 (fma.f64 a (*.f64 a 1/2) (+.f64 (exp.f64 b) (fma.f64 1/6 (pow.f64 a 3) a)))) |
(+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (+.f64 a (fma.f64 1/2 (*.f64 a a) 1))) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (+.f64 (exp.f64 a) b)) |
(+.f64 1 (+.f64 b (exp.f64 a))) |
(+.f64 b (+.f64 1 (exp.f64 a))) |
(+.f64 (exp.f64 a) (+.f64 1 b)) |
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) |
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))) |
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) |
(+.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))) |
(+.f64 (exp.f64 a) (+.f64 b (fma.f64 1/2 (*.f64 b b) 1))) |
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))) |
(fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))) |
(+.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) (fma.f64 1/6 (pow.f64 b 3) 1)) |
(+.f64 b (+.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) (fma.f64 1/6 (pow.f64 b 3) 1))) |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 83 | 3 | 86 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 84 | 3 | 87 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.8b | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
| 32.8b | (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) | |
| 30.2b | (expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) |
Compiled 1400 to 687 computations (50.9% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (exp.f64 a)) |
| ✓ | 0.0b | (log1p.f64 (exp.f64 a)) |
| ✓ | 0.0b | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | a | @ | inf | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
| 17.0ms | 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 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
| 1.0ms | b | @ | inf | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
| 1× | batch-egg-rewrite |
| 816× | prod-diff_binary64 |
| 454× | log-prod_binary64 |
| 317× | fma-def_binary64 |
| 291× | pow-prod-down_binary64 |
| 250× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 1 | 189 | 27 |
| 2 | 2657 | 27 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(log1p.f64 (exp.f64 a)) |
(+.f64 1 (exp.f64 a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 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 (exp.f64 a) 1)))) (/.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3)) (/.f64 1 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -2)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3)) (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3)) (+.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (/.f64 (log1p.f64 (exp.f64 a)) (/.f64 (+.f64 (exp.f64 a) 1) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -2)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3))) (neg.f64 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -2))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 1 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 (exp.f64 a)) 1 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) 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(cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))))))) |
| 1× | egg-herbie |
| 429× | sub-neg_binary64 |
| 389× | +-commutative_binary64 |
| 321× | distribute-rgt-neg-in_binary64 |
| 289× | fma-def_binary64 |
| 280× | distribute-lft-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 528 |
| 1 | 186 | 503 |
| 2 | 608 | 492 |
| 3 | 2122 | 490 |
| 4 | 5032 | 490 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2))) |
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))) |
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2))))) |
(+.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 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2)))) |
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2))))) |
(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))) |
2 |
(+.f64 2 a) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3))))) |
| Outputs |
|---|
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(fma.f64 1/2 b (log.f64 2)) |
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2))) |
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (log.f64 2))) |
(fma.f64 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (log.f64 2))) |
(fma.f64 1/2 b (fma.f64 (fma.f64 b -1/4 1/2) a (log.f64 2))) |
(fma.f64 (fma.f64 b -1/4 1/2) a (fma.f64 1/2 b (log.f64 2))) |
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))) |
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 (*.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2)))) |
(fma.f64 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (fma.f64 (*.f64 a a) 1/8 (log.f64 2)))) |
(fma.f64 1/2 b (fma.f64 (fma.f64 b -1/4 1/2) a (fma.f64 a (*.f64 a 1/8) (log.f64 2)))) |
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2))))) |
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 (*.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))) |
(fma.f64 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (-.f64 (fma.f64 (*.f64 a a) 1/8 (log.f64 2)) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48)))))) |
(-.f64 (fma.f64 1/2 b (fma.f64 (fma.f64 b -1/4 1/2) a (fma.f64 a (*.f64 a 1/8) (log.f64 2)))) (*.f64 b (*.f64 -1/48 (pow.f64 a 3)))) |
(fma.f64 (fma.f64 b -1/4 1/2) a (fma.f64 1/2 b (fma.f64 (pow.f64 a 3) (*.f64 b 1/48) (fma.f64 a (*.f64 a 1/8) (log.f64 2))))) |
(+.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 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2)))) |
(+.f64 (fma.f64 1/2 a (log.f64 2)) (*.f64 (*.f64 a a) 1/8)) |
(fma.f64 1/2 a (fma.f64 (*.f64 a a) 1/8 (log.f64 2))) |
(fma.f64 a (*.f64 a 1/8) (fma.f64 1/2 a (log.f64 2))) |
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2))))) |
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 -1/192 (pow.f64 a 4) (*.f64 (*.f64 a a) 1/8))) |
(+.f64 (fma.f64 (*.f64 a a) 1/8 (*.f64 -1/192 (pow.f64 a 4))) (fma.f64 1/2 a (log.f64 2))) |
(fma.f64 1/2 a (fma.f64 a (*.f64 a 1/8) (fma.f64 -1/192 (pow.f64 a 4) (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)) |
2 |
(+.f64 2 a) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) |
(fma.f64 1/2 (*.f64 a a) (+.f64 2 a)) |
(+.f64 a (fma.f64 1/2 (*.f64 a a) 2)) |
(+.f64 2 (fma.f64 a (*.f64 1/2 a) a)) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3))))) |
(fma.f64 1/2 (*.f64 a a) (+.f64 2 (+.f64 a (*.f64 (pow.f64 a 3) 1/6)))) |
(+.f64 (fma.f64 (pow.f64 a 3) 1/6 a) (fma.f64 1/2 (*.f64 a a) 2)) |
(+.f64 (fma.f64 (pow.f64 a 3) 1/6 2) (fma.f64 a (*.f64 1/2 a) a)) |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 177 | 2 | 179 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 179 | 3 | 182 |
| Status | Error | Program |
|---|---|---|
| 32.8b | (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) | |
| ▶ | 0.8b | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))) |
| 0.8b | (expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) |
Compiled 3252 to 1685 computations (48.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) |
| ✓ | 0.0b | (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2) |
| ✓ | 0.7b | (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) |
| ✓ | 1.0b | (cbrt.f64 (log1p.f64 (exp.f64 a))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | a | @ | -inf | (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) |
| 14.0ms | a | @ | inf | (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) |
| 2.0ms | a | @ | inf | (cbrt.f64 (log1p.f64 (exp.f64 a))) |
| 2.0ms | a | @ | 0 | (cbrt.f64 (log1p.f64 (exp.f64 a))) |
| 2.0ms | a | @ | 0 | (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) |
| 1× | batch-egg-rewrite |
| 625× | pow1_binary64 |
| 576× | add-log-exp_binary64 |
| 576× | expm1-log1p-u_binary64 |
| 575× | log1p-expm1-u_binary64 |
| 558× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 38 |
| 1 | 174 | 38 |
| 2 | 1772 | 38 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (log1p.f64 (exp.f64 a))) |
(cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) |
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2) |
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/6) (pow.f64 (log1p.f64 (exp.f64 a)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 1/6)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 a)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/6) 1/3) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 a)) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))))) |
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| 1× | egg-herbie |
| 932× | fma-def_binary64 |
| 463× | *-commutative_binary64 |
| 421× | distribute-lft-in_binary64 |
| 421× | distribute-rgt-in_binary64 |
| 259× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 2004 |
| 1 | 467 | 1979 |
| 2 | 1700 | 1920 |
| 3 | 6402 | 1885 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (log.f64 2) 1/3) |
(+.f64 (pow.f64 (log.f64 2) 1/3) (*.f64 1/6 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)))) |
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 1/6 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))) |
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 1/6 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (pow.f64 a 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)))))) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) |
(pow.f64 (log.f64 2) 1/9) |
(+.f64 (*.f64 1/18 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9))) (pow.f64 (log.f64 2) 1/9)) |
(+.f64 (*.f64 (pow.f64 (log.f64 2) 1/9) (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/18 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2)))))) (+.f64 (*.f64 1/18 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9))) (pow.f64 (log.f64 2) 1/9))) |
(+.f64 (*.f64 (pow.f64 (log.f64 2) 1/9) (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/18 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2)))))) (+.f64 (*.f64 1/18 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/324 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (log.f64 2))) (+.f64 (*.f64 1/54 (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 3))) (*.f64 3/8 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/34992 (/.f64 1 (pow.f64 (log.f64 2) 3))))) (pow.f64 a 3)) (pow.f64 (log.f64 2) 1/9)) (pow.f64 (log.f64 2) 1/9)))) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/9) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/9) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/9) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/9) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/9) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/9) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/9) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/9) |
(pow.f64 (pow.f64 (log.f64 2) 2) 1/9) |
(+.f64 (*.f64 1/9 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9))) (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)) |
(+.f64 (*.f64 1/9 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9))) (+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9) (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/324 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/9)) (*.f64 2 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9) (+.f64 (*.f64 1/18 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2)))))))))) |
(+.f64 (*.f64 1/9 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9))) (+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/324 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (log.f64 2))) (+.f64 (*.f64 1/54 (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 3))) (*.f64 3/8 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/34992 (/.f64 1 (pow.f64 (log.f64 2) 3))))) (pow.f64 (pow.f64 (log.f64 2) 2) 1/9))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (+.f64 (*.f64 1/18 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2)))))))) (+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9) (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/324 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/9)) (*.f64 2 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9) (+.f64 (*.f64 1/18 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2))))))))))) |
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/9) |
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/9) |
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/9) |
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/9) |
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/9) |
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/9) |
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/9) |
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/9) |
(pow.f64 (pow.f64 (log.f64 2) 2) 1/3) |
(+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (*.f64 1/3 (*.f64 a (pow.f64 (log.f64 2) 1/9)))) |
(+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (+.f64 (*.f64 1/3 (*.f64 a (pow.f64 (log.f64 2) 1/9))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) (pow.f64 a 2)))) |
(+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (+.f64 (*.f64 1/3 (*.f64 a (pow.f64 (log.f64 2) 1/9))) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) (pow.f64 a 2)) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)))))))))) |
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3) |
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3) |
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3) |
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3) |
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3) |
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3) |
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3) |
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3) |
| Outputs |
|---|
(pow.f64 (log.f64 2) 1/3) |
(cbrt.f64 (log.f64 2)) |
(+.f64 (pow.f64 (log.f64 2) 1/3) (*.f64 1/6 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9)))) |
(+.f64 (cbrt.f64 (log.f64 2)) (*.f64 1/6 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))))) |
(fma.f64 1/6 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (cbrt.f64 (log.f64 2))) |
(fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (*.f64 1/6 a)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (cbrt.f64 (log.f64 2))) |
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 1/6 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))) |
(+.f64 (cbrt.f64 (log.f64 2)) (fma.f64 1/6 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (*.f64 1/3 (*.f64 (*.f64 a a) (*.f64 (+.f64 1/8 (*.f64 -1/12 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)))) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)))))))) |
(+.f64 (cbrt.f64 (log.f64 2)) (fma.f64 1/3 (*.f64 a (*.f64 a (*.f64 (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (*.f64 1/6 a)))) |
(fma.f64 1/3 (*.f64 a (*.f64 a (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12 1/8) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)))))) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (*.f64 1/6 a)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (cbrt.f64 (log.f64 2)))) |
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 1/6 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (pow.f64 a 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)))))) |
(+.f64 (cbrt.f64 (log.f64 2)) (fma.f64 1/6 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (fma.f64 -1/3 (*.f64 (fma.f64 1/3 (*.f64 (+.f64 1/8 (*.f64 -1/12 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216)) (*.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/3 (*.f64 (*.f64 a a) (*.f64 (+.f64 1/8 (*.f64 -1/12 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)))) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))))))))) |
(+.f64 (fma.f64 1/6 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (cbrt.f64 (log.f64 2))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (+.f64 (*.f64 (*.f64 1/3 (*.f64 a a)) (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12))) (*.f64 (*.f64 -1/3 (fma.f64 1/3 (*.f64 (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216))) (pow.f64 a 3))))) |
(fma.f64 1/6 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (fma.f64 (*.f64 -1/3 (fma.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12 1/8) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216))) (pow.f64 a 3) (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12 1/8) (*.f64 1/3 (*.f64 a a)))) (cbrt.f64 (log.f64 2)))) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (log1p.f64 (exp.f64 a))) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (log1p.f64 (exp.f64 a))) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (log1p.f64 (exp.f64 a))) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (log1p.f64 (exp.f64 a))) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (log1p.f64 (exp.f64 a))) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (log1p.f64 (exp.f64 a))) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (log1p.f64 (exp.f64 a))) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (log1p.f64 (exp.f64 a))) |
(pow.f64 (log.f64 2) 1/9) |
(*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)) |
(+.f64 (*.f64 1/18 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9))) (pow.f64 (log.f64 2) 1/9)) |
(fma.f64 1/18 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18))) (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))) |
(fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18) (*.f64 a 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18) (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))) |
(+.f64 (*.f64 (pow.f64 (log.f64 2) 1/9) (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/18 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2)))))) (+.f64 (*.f64 1/18 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9))) (pow.f64 (log.f64 2) 1/9))) |
(fma.f64 (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)) (*.f64 (*.f64 a a) (fma.f64 1/18 (-.f64 (/.f64 1/4 (log.f64 2)) (/.f64 1/4 (pow.f64 (log.f64 2) 2))) (/.f64 1/648 (pow.f64 (log.f64 2) 2)))) (fma.f64 1/18 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18))) (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)))) |
(fma.f64 (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)) (*.f64 (*.f64 a a) (fma.f64 1/18 (+.f64 (/.f64 1/4 (log.f64 2)) (/.f64 -1/4 (pow.f64 (log.f64 2) 2))) (/.f64 1/648 (pow.f64 (log.f64 2) 2)))) (fma.f64 1/18 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18))) (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)))) |
(fma.f64 a (*.f64 1/18 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18))) (*.f64 (+.f64 (*.f64 a (*.f64 a (+.f64 (+.f64 (/.f64 1/648 (pow.f64 (log.f64 2) 2)) (/.f64 1/72 (log.f64 2))) (/.f64 -1/72 (pow.f64 (log.f64 2) 2))))) 1) (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)))) |
(fma.f64 a (*.f64 1/18 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18))) (*.f64 (pow.f64 (log.f64 2) 1/18) (*.f64 (+.f64 (*.f64 a (*.f64 a (+.f64 (+.f64 (/.f64 1/648 (pow.f64 (log.f64 2) 2)) (/.f64 1/72 (log.f64 2))) (/.f64 -1/72 (pow.f64 (log.f64 2) 2))))) 1) (pow.f64 (log.f64 2) 1/18)))) |
(+.f64 (*.f64 (pow.f64 (log.f64 2) 1/9) (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/18 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2)))))) (+.f64 (*.f64 1/18 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/324 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (log.f64 2))) (+.f64 (*.f64 1/54 (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 3))) (*.f64 3/8 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/34992 (/.f64 1 (pow.f64 (log.f64 2) 3))))) (pow.f64 a 3)) (pow.f64 (log.f64 2) 1/9)) (pow.f64 (log.f64 2) 1/9)))) |
(fma.f64 (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)) (*.f64 (*.f64 a a) (fma.f64 1/18 (-.f64 (/.f64 1/4 (log.f64 2)) (/.f64 1/4 (pow.f64 (log.f64 2) 2))) (/.f64 1/648 (pow.f64 (log.f64 2) 2)))) (fma.f64 1/18 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18))) (*.f64 (+.f64 (*.f64 (pow.f64 a 3) (fma.f64 1/324 (/.f64 (-.f64 (/.f64 1/4 (log.f64 2)) (/.f64 1/4 (pow.f64 (log.f64 2) 2))) (log.f64 2)) (fma.f64 1/54 (-.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 3)) (/.f64 3/8 (pow.f64 (log.f64 2) 2))) (/.f64 1/34992 (pow.f64 (log.f64 2) 3))))) 1) (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))))) |
(fma.f64 (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)) (*.f64 (*.f64 a a) (fma.f64 1/18 (+.f64 (/.f64 1/4 (log.f64 2)) (/.f64 -1/4 (pow.f64 (log.f64 2) 2))) (/.f64 1/648 (pow.f64 (log.f64 2) 2)))) (fma.f64 1/18 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18))) (*.f64 (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)) (fma.f64 (pow.f64 a 3) (fma.f64 1/324 (-.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 2)) (/.f64 1/4 (pow.f64 (log.f64 2) 3))) (fma.f64 1/54 (+.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 3)) (/.f64 -3/8 (pow.f64 (log.f64 2) 2))) (/.f64 1/34992 (pow.f64 (log.f64 2) 3)))) 1)))) |
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(fma.f64 (pow.f64 a 3) (fma.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18)) (fma.f64 2 (fma.f64 1/324 (+.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 2)) (/.f64 -1/4 (pow.f64 (log.f64 2) 3))) (+.f64 (/.f64 1/216 (pow.f64 (log.f64 2) 3)) (/.f64 -1/144 (pow.f64 (log.f64 2) 2)))) (/.f64 1/17496 (pow.f64 (log.f64 2) 3))) (*.f64 (+.f64 (+.f64 (/.f64 1/648 (pow.f64 (log.f64 2) 2)) (/.f64 1/72 (log.f64 2))) (/.f64 -1/72 (pow.f64 (log.f64 2) 2))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18))))) (fma.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (*.f64 a (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18))) (*.f64 a (fma.f64 2 (*.f64 (+.f64 (+.f64 (/.f64 1/648 (pow.f64 (log.f64 2) 2)) (/.f64 1/72 (log.f64 2))) (/.f64 -1/72 (pow.f64 (log.f64 2) 2))) (*.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18))) (*.f64 1/324 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/18))))))))) |
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(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/9) |
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(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/9) |
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(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/9) |
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(pow.f64 (pow.f64 (log.f64 2) 2) 1/3) |
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(fma.f64 1/3 (*.f64 a (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))) (cbrt.f64 (pow.f64 (log.f64 2) 2))) |
(+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (+.f64 (*.f64 1/3 (*.f64 a (pow.f64 (log.f64 2) 1/9))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) (pow.f64 a 2)))) |
(+.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (fma.f64 1/3 (*.f64 a (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))) (*.f64 (*.f64 a a) (fma.f64 2/3 (*.f64 (+.f64 1/8 (*.f64 -1/12 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)))) (cbrt.f64 (/.f64 1 (log.f64 2)))) (*.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18))))))) |
(+.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (fma.f64 (*.f64 a a) (fma.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18)) (*.f64 (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (log.f64 2)))))) (*.f64 a (*.f64 (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)) 1/3)))) |
(fma.f64 1/3 (*.f64 a (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))) (fma.f64 (*.f64 a a) (fma.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18)) (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12 1/8) (*.f64 2/3 (cbrt.f64 (/.f64 1 (log.f64 2)))))) (cbrt.f64 (pow.f64 (log.f64 2) 2)))) |
(+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (+.f64 (*.f64 1/3 (*.f64 a (pow.f64 (log.f64 2) 1/9))) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) (pow.f64 a 2)) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)))))))))) |
(+.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (fma.f64 1/3 (*.f64 a (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))) (fma.f64 (fma.f64 2/3 (*.f64 (+.f64 1/8 (*.f64 -1/12 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)))) (cbrt.f64 (/.f64 1 (log.f64 2)))) (*.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18)))) (*.f64 a a) (*.f64 (pow.f64 a 3) (fma.f64 1/9 (*.f64 (+.f64 1/8 (*.f64 -1/12 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18))) (*.f64 -2/3 (*.f64 (fma.f64 1/3 (*.f64 (+.f64 1/8 (*.f64 -1/12 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216)) (cbrt.f64 (/.f64 1 (log.f64 2)))))))))) |
(+.f64 (fma.f64 1/3 (*.f64 a (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))) (cbrt.f64 (pow.f64 (log.f64 2) 2))) (fma.f64 (pow.f64 a 3) (fma.f64 -2/3 (*.f64 (fma.f64 1/3 (*.f64 (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216)) (cbrt.f64 (/.f64 1 (log.f64 2)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18)) (*.f64 (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) 1/9))) (*.f64 a (*.f64 a (fma.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18)) (*.f64 (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (log.f64 2)))))))))) |
(+.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (fma.f64 (pow.f64 a 3) (fma.f64 1/9 (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12 1/8) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18))) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12 1/8) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216)) (*.f64 (cbrt.f64 (/.f64 1 (log.f64 2))) -2/3))) (*.f64 a (+.f64 (*.f64 a (fma.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18)) (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12 1/8) (*.f64 2/3 (cbrt.f64 (/.f64 1 (log.f64 2))))))) (*.f64 1/3 (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))))))) |
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3) |
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) |
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3) |
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) |
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3) |
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) |
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3) |
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) |
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3) |
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) |
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3) |
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) |
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3) |
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) |
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3) |
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 210 | 1 | 211 |
| Fresh | 0 | 2 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 211 | 3 | 214 |
| Status | Error | Program |
|---|---|---|
| 32.8b | (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) | |
| 0.8b | (expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) | |
| ▶ | 0.8b | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))) |
Compiled 9122 to 5144 computations (43.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2) | |
| ✓ | 0.5b | (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) |
| 0.7b | (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) | |
| 1.0b | (cbrt.f64 (log1p.f64 (exp.f64 a))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | 0 | (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) |
| 1.0ms | a | @ | inf | (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) |
| 1.0ms | a | @ | -inf | (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) |
| 1× | batch-egg-rewrite |
| 510× | pow1_binary64 |
| 485× | add-sqr-sqrt_binary64 |
| 468× | add-log-exp_binary64 |
| 468× | expm1-log1p-u_binary64 |
| 467× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 125 | 11 |
| 2 | 1341 | 11 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 1/6) 1/3) (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 1/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))))))) |
| 1× | egg-herbie |
| 808× | distribute-rgt-in_binary64 |
| 790× | distribute-lft-in_binary64 |
| 534× | associate-*l/_binary64 |
| 388× | distribute-rgt-out_binary64 |
| 289× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 469 |
| 1 | 179 | 448 |
| 2 | 577 | 431 |
| 3 | 2993 | 406 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (log.f64 2) 1/27) |
(+.f64 (*.f64 1/54 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/27))) (pow.f64 (log.f64 2) 1/27)) |
(+.f64 (*.f64 1/54 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/27))) (+.f64 (pow.f64 (log.f64 2) 1/27) (*.f64 (pow.f64 (log.f64 2) 1/27) (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/54 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/5832 (/.f64 1 (pow.f64 (log.f64 2) 2)))))))) |
(+.f64 (*.f64 1/54 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/27))) (+.f64 (pow.f64 (log.f64 2) 1/27) (+.f64 (*.f64 (pow.f64 (log.f64 2) 1/27) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/162 (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 3))) (*.f64 3/8 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (+.f64 (*.f64 1/944784 (/.f64 1 (pow.f64 (log.f64 2) 3))) (*.f64 1/2916 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (log.f64 2))))))) (*.f64 (pow.f64 (log.f64 2) 1/27) (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/54 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/5832 (/.f64 1 (pow.f64 (log.f64 2) 2))))))))) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/27) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/27) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/27) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/27) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/27) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/27) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/27) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/27) |
| Outputs |
|---|
(pow.f64 (log.f64 2) 1/27) |
(*.f64 (pow.f64 (log.f64 2) 1/54) (pow.f64 (log.f64 2) 1/54)) |
(+.f64 (*.f64 1/54 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/27))) (pow.f64 (log.f64 2) 1/27)) |
(fma.f64 1/54 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54))) (*.f64 (pow.f64 (log.f64 2) 1/54) (pow.f64 (log.f64 2) 1/54))) |
(fma.f64 1/54 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54) (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54))) (*.f64 (pow.f64 (log.f64 2) 1/54) (pow.f64 (log.f64 2) 1/54))) |
(+.f64 (*.f64 1/54 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/27))) (+.f64 (pow.f64 (log.f64 2) 1/27) (*.f64 (pow.f64 (log.f64 2) 1/27) (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/54 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/5832 (/.f64 1 (pow.f64 (log.f64 2) 2)))))))) |
(+.f64 (fma.f64 1/54 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54))) (*.f64 (pow.f64 (log.f64 2) 1/54) (pow.f64 (log.f64 2) 1/54))) (*.f64 (*.f64 (pow.f64 (log.f64 2) 1/54) (pow.f64 (log.f64 2) 1/54)) (*.f64 (fma.f64 1/54 (-.f64 (/.f64 1/4 (log.f64 2)) (/.f64 1/4 (pow.f64 (log.f64 2) 2))) (/.f64 1/5832 (pow.f64 (log.f64 2) 2))) (*.f64 a a)))) |
(fma.f64 1/54 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54))) (*.f64 (+.f64 (*.f64 a (*.f64 a (fma.f64 1/54 (+.f64 (/.f64 1/4 (log.f64 2)) (/.f64 -1/4 (pow.f64 (log.f64 2) 2))) (/.f64 1/5832 (pow.f64 (log.f64 2) 2))))) 1) (*.f64 (pow.f64 (log.f64 2) 1/54) (pow.f64 (log.f64 2) 1/54)))) |
(fma.f64 1/54 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54) (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54))) (*.f64 (*.f64 (pow.f64 (log.f64 2) 1/54) (pow.f64 (log.f64 2) 1/54)) (fma.f64 (+.f64 (/.f64 1/216 (log.f64 2)) (+.f64 (/.f64 -1/216 (pow.f64 (log.f64 2) 2)) (/.f64 1/5832 (pow.f64 (log.f64 2) 2)))) (*.f64 a a) 1))) |
(fma.f64 1/54 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54) (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54))) (*.f64 (*.f64 (pow.f64 (log.f64 2) 1/54) (pow.f64 (log.f64 2) 1/54)) (fma.f64 a (*.f64 a (+.f64 (/.f64 1/216 (log.f64 2)) (*.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) -13/2916))) 1))) |
(+.f64 (*.f64 1/54 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/27))) (+.f64 (pow.f64 (log.f64 2) 1/27) (+.f64 (*.f64 (pow.f64 (log.f64 2) 1/27) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/162 (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 3))) (*.f64 3/8 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (+.f64 (*.f64 1/944784 (/.f64 1 (pow.f64 (log.f64 2) 3))) (*.f64 1/2916 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (log.f64 2))))))) (*.f64 (pow.f64 (log.f64 2) 1/27) (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/54 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/5832 (/.f64 1 (pow.f64 (log.f64 2) 2))))))))) |
(+.f64 (fma.f64 1/54 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54))) (*.f64 (pow.f64 (log.f64 2) 1/54) (pow.f64 (log.f64 2) 1/54))) (*.f64 (*.f64 (pow.f64 (log.f64 2) 1/54) (pow.f64 (log.f64 2) 1/54)) (+.f64 (*.f64 (pow.f64 a 3) (fma.f64 1/162 (-.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 3)) (/.f64 3/8 (pow.f64 (log.f64 2) 2))) (+.f64 (/.f64 1/944784 (pow.f64 (log.f64 2) 3)) (*.f64 1/2916 (/.f64 (-.f64 (/.f64 1/4 (log.f64 2)) (/.f64 1/4 (pow.f64 (log.f64 2) 2))) (log.f64 2)))))) (*.f64 (fma.f64 1/54 (-.f64 (/.f64 1/4 (log.f64 2)) (/.f64 1/4 (pow.f64 (log.f64 2) 2))) (/.f64 1/5832 (pow.f64 (log.f64 2) 2))) (*.f64 a a))))) |
(fma.f64 1/54 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54))) (fma.f64 (*.f64 (pow.f64 (log.f64 2) 1/54) (pow.f64 (log.f64 2) 1/54)) (fma.f64 (pow.f64 a 3) (fma.f64 1/162 (+.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 3)) (/.f64 -3/8 (pow.f64 (log.f64 2) 2))) (fma.f64 1/2916 (-.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 2)) (/.f64 1/4 (pow.f64 (log.f64 2) 3))) (/.f64 1/944784 (pow.f64 (log.f64 2) 3)))) (*.f64 a (*.f64 a (fma.f64 1/54 (+.f64 (/.f64 1/4 (log.f64 2)) (/.f64 -1/4 (pow.f64 (log.f64 2) 2))) (/.f64 1/5832 (pow.f64 (log.f64 2) 2)))))) (*.f64 (pow.f64 (log.f64 2) 1/54) (pow.f64 (log.f64 2) 1/54)))) |
(fma.f64 1/54 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54) (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54))) (*.f64 (+.f64 (*.f64 (*.f64 a a) (+.f64 (+.f64 (/.f64 1/216 (log.f64 2)) (+.f64 (/.f64 -1/216 (pow.f64 (log.f64 2) 2)) (/.f64 1/5832 (pow.f64 (log.f64 2) 2)))) (*.f64 a (+.f64 (+.f64 (/.f64 1/648 (pow.f64 (log.f64 2) 3)) (/.f64 -1/432 (pow.f64 (log.f64 2) 2))) (fma.f64 1/2916 (+.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 2)) (/.f64 -1/4 (pow.f64 (log.f64 2) 3))) (/.f64 1/944784 (pow.f64 (log.f64 2) 3))))))) 1) (*.f64 (pow.f64 (log.f64 2) 1/54) (pow.f64 (log.f64 2) 1/54)))) |
(fma.f64 1/54 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54) (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 26)) 1/54))) (*.f64 (+.f64 (*.f64 (*.f64 a a) (+.f64 (+.f64 (/.f64 1/216 (log.f64 2)) (*.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) -13/2916)) (*.f64 a (+.f64 (+.f64 (/.f64 1/11664 (pow.f64 (log.f64 2) 2)) (/.f64 -1/11664 (pow.f64 (log.f64 2) 3))) (+.f64 (*.f64 (/.f64 1 (pow.f64 (log.f64 2) 3)) 1459/944784) (/.f64 -1/432 (pow.f64 (log.f64 2) 2))))))) 1) (*.f64 (pow.f64 (log.f64 2) 1/54) (pow.f64 (log.f64 2) 1/54)))) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/27) |
(*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/54) (pow.f64 (log1p.f64 (exp.f64 a)) 1/54)) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/27) |
(*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/54) (pow.f64 (log1p.f64 (exp.f64 a)) 1/54)) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/27) |
(*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/54) (pow.f64 (log1p.f64 (exp.f64 a)) 1/54)) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/27) |
(*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/54) (pow.f64 (log1p.f64 (exp.f64 a)) 1/54)) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/27) |
(*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/54) (pow.f64 (log1p.f64 (exp.f64 a)) 1/54)) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/27) |
(*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/54) (pow.f64 (log1p.f64 (exp.f64 a)) 1/54)) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/27) |
(*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/54) (pow.f64 (log1p.f64 (exp.f64 a)) 1/54)) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/27) |
(*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/54) (pow.f64 (log1p.f64 (exp.f64 a)) 1/54)) |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 424 | 1 | 425 |
| Fresh | 0 | 2 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 425 | 3 | 428 |
| Status | Error | Program |
|---|---|---|
| 32.8b | (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) | |
| 0.8b | (expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) | |
| 0.8b | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 3) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))) |
Compiled 25978 to 12794 computations (50.8% saved)
Total -32.4b remaining (-4173.5%)
Threshold costs -32.4b (-4173.5%)
| Inputs |
|---|
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 3) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))) |
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) |
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| Outputs |
|---|
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 3) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))) |
| 5.0ms | 0.8b | a |
| 6.0ms | 0.8b | b |
| 2.0ms | 0.8b | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 2.0ms | 0.8b | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 2.0ms | 0.8b | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 2.0ms | 0.8b | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 2.0ms | 0.8b | (exp.f64 a) |
| 2.0ms | 0.8b | (exp.f64 b) |
| 2.0ms | 0.8b | (exp.f64 b) |
Compiled 218 to 103 computations (52.8% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 86 |
| 1 | 25 | 86 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 3) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))) |
| Outputs |
|---|
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 3) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 3) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 2))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))) |
| 1× | fuel |
Compiled 204 to 96 computations (52.9% saved)
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