Time bar (total: 19.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 5 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 6 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 7 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 8 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 9 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 10 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 11 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 7 computations (22.2% saved)
| 11.0s | 7939× | body | 8192 | exit |
| 1.5s | 1998× | body | 1024 | valid |
| 894.0ms | 4993× | body | 256 | valid |
| 520.0ms | 1052× | body | 512 | valid |
| 337.0ms | 213× | body | 2048 | 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 10 to 8 computations (20% 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))) |
Compiled 8 to 6 computations (25% saved)
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 |
|---|---|---|
| ▶ | 29.8b | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 8 to 6 computations (25% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (exp.f64 a) (exp.f64 b)) |
| ✓ | 4.1b | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 19 to 6 computations (68.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | a | @ | -inf | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 24.0ms | a | @ | inf | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 20.0ms | b | @ | -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 | 1822 | 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 0 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(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 (+.f64 1 (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 expm1.f64 (log1p.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 exp.f64 (log.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 (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 (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 (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 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 expm1.f64 (log1p.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 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)))))) |
| 1× | egg-herbie |
| 679× | distribute-rgt-in_binary64 |
| 670× | distribute-lft-in_binary64 |
| 483× | associate-*l/_binary64 |
| 432× | associate-*r/_binary64 |
| 377× | associate-/r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 440 |
| 1 | 214 | 434 |
| 2 | 668 | 428 |
| 3 | 3076 | 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))))) |
(+.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))))) |
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (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 a (+.f64 1 (exp.f64 b))) (+.f64 (log1p.f64 (exp.f64 b)) (*.f64 1/6 (*.f64 (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))))) |
(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)))) (fma.f64 (+.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)))) (*.f64 1/6 (pow.f64 a 3)) (+.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 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (fma.f64 (pow.f64 a 3) (+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.f64 1/3 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (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))))) |
(+.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))))) |
(+.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 1/6 (*.f64 (pow.f64 b 3) (+.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))))) (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 (log1p.f64 (exp.f64 a)) (fma.f64 (pow.f64 b 3) (+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 a))) (/.f64 1/3 (pow.f64 (+.f64 1 (exp.f64 a)) 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 1 (exp.f64 b)) |
(+.f64 1 (+.f64 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 1 (+.f64 (exp.f64 b) a))) |
(+.f64 (+.f64 (exp.f64 b) a) (fma.f64 1/2 (*.f64 a a) 1)) |
(+.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 1 (+.f64 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 1 (exp.f64 a)) |
(+.f64 1 (+.f64 (exp.f64 a) b)) |
(+.f64 1 (+.f64 b (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 1 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b))) |
(+.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 (fma.f64 1/6 (pow.f64 b 3) 1) (fma.f64 1/2 (*.f64 b b) b)) (exp.f64 a)) |
(+.f64 (exp.f64 a) (+.f64 (fma.f64 b (*.f64 b 1/2) b) (fma.f64 1/6 (pow.f64 b 3) 1))) |
Compiled 1332 to 669 computations (49.8% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 78 | 8 | 86 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 78 | 9 | 87 |
| Status | Error | Program |
|---|---|---|
| ▶ | 30.2b | (-.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) |
| 32.2b | (log1p.f64 (exp.f64 b)) | |
| ▶ | 30.3b | (+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) |
| ▶ | 32.2b | (log.f64 (+.f64 1 (exp.f64 b))) |
| 31.5b | (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) | |
| ▶ | 32.3b | (log1p.f64 (exp.f64 a)) |
| ▶ | 1.7b | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
| ✓ | 29.8b | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 30.5b | (log.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) |
Compiled 164 to 118 computations (28% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
| ✓ | 0.0b | (+.f64 1 (exp.f64 a)) |
| ✓ | 0.0b | (/.f64 b (+.f64 1 (exp.f64 a))) |
| ✓ | 0.0b | (log1p.f64 (exp.f64 a)) |
Compiled 30 to 14 computations (53.3% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | a | @ | inf | (log1p.f64 (exp.f64 a)) |
| 13.0ms | a | @ | -inf | (log1p.f64 (exp.f64 a)) |
| 10.0ms | a | @ | 0 | (+.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 | b | @ | inf | (/.f64 b (+.f64 1 (exp.f64 a))) |
| 1× | batch-egg-rewrite |
| 816× | prod-diff_binary64 |
| 453× | 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 | 36 |
| 1 | 189 | 36 |
| 2 | 2662 | 36 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 (exp.f64 a)) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(+.f64 1 (exp.f64 a)) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
| Outputs |
|---|
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((#(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)))) (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2)) (cbrt.f64 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((x fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 b) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) b (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) -2) (/.f64 b (cbrt.f64 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 (exp.f64 a) 1) -1/2) (/.f64 b (sqrt.f64 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 b (+.f64 1 (exp.f64 (*.f64 3 a)))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 b (-.f64 1 (exp.f64 (+.f64 a a)))) (-.f64 1 (exp.f64 a)) (log1p.f64 (exp.f64 a))))))) |
| 1× | egg-herbie |
| 746× | fma-neg_binary64 |
| 529× | fma-def_binary64 |
| 383× | distribute-rgt-in_binary64 |
| 312× | associate-+l+_binary64 |
| 306× | associate--l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 602 |
| 1 | 246 | 560 |
| 2 | 938 | 532 |
| 3 | 4143 | 527 |
| 1× | node limit |
| Inputs |
|---|
(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))) |
(*.f64 1/2 b) |
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b))) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))) |
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))))) |
(+.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)))) |
| Outputs |
|---|
(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 1/8 (*.f64 a a))) |
(fma.f64 1/2 a (fma.f64 1/8 (*.f64 a 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 1/8 (*.f64 a a)))) |
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 1/8 (*.f64 a a) (*.f64 -1/192 (pow.f64 a 4)))) |
(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)) |
(*.f64 1/2 b) |
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b))) |
(fma.f64 1/2 b (*.f64 -1/4 (*.f64 a b))) |
(*.f64 b (+.f64 1/2 (*.f64 a -1/4))) |
(*.f64 b (fma.f64 a -1/4 1/2)) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))) |
(fma.f64 1/2 b (*.f64 -1/4 (*.f64 a b))) |
(*.f64 b (+.f64 1/2 (*.f64 a -1/4))) |
(*.f64 b (fma.f64 a -1/4 1/2)) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))) |
(fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (*.f64 -1/4 (*.f64 a b))))) |
(fma.f64 1/2 b (-.f64 (fma.f64 (*.f64 a -1/4) b (*.f64 a (*.f64 a 0))) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48))))) |
(-.f64 (*.f64 b (fma.f64 a -1/4 1/2)) (*.f64 b (*.f64 -1/48 (pow.f64 a 3)))) |
(*.f64 b (-.f64 (fma.f64 a -1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))) |
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 (*.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 (+.f64 2 a) (*.f64 (pow.f64 a 3) 1/6))) |
(fma.f64 1/2 (*.f64 a a) (+.f64 2 (fma.f64 (pow.f64 a 3) 1/6 a))) |
(+.f64 2 (fma.f64 1/2 (*.f64 a a) (fma.f64 (pow.f64 a 3) 1/6 a))) |
(+.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 a (-.f64 1/2 (*.f64 b 1/4)) (fma.f64 1/2 b (log.f64 2))) |
(fma.f64 1/2 b (fma.f64 a (fma.f64 b -1/4 1/2) (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 a (-.f64 1/2 (*.f64 b 1/4)) (fma.f64 1/2 b (fma.f64 1/8 (*.f64 a a) (log.f64 2)))) |
(fma.f64 1/2 b (fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 1/8 (*.f64 a a) (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 a (-.f64 1/2 (*.f64 b 1/4)) (fma.f64 1/2 b (fma.f64 (neg.f64 (pow.f64 a 3)) (+.f64 0 (*.f64 b -1/48)) (fma.f64 1/8 (*.f64 a a) (log.f64 2))))) |
(-.f64 (fma.f64 1/2 b (fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 1/8 (*.f64 a a) (log.f64 2)))) (*.f64 b (*.f64 -1/48 (pow.f64 a 3)))) |
(fma.f64 1/2 b (fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 a (*.f64 a 1/8) (fma.f64 (pow.f64 a 3) (*.f64 b 1/48) (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)))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (log1p.f64 (exp.f64 a)) |
Compiled 8 to 4 computations (50% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (exp.f64 b)) |
| ✓ | 1.5b | (log.f64 (+.f64 1 (exp.f64 b))) |
Compiled 15 to 9 computations (40% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | b | @ | -inf | (log.f64 (+.f64 1 (exp.f64 b))) |
| 13.0ms | b | @ | inf | (log.f64 (+.f64 1 (exp.f64 b))) |
| 1.0ms | b | @ | 0 | (log.f64 (+.f64 1 (exp.f64 b))) |
| 0.0ms | b | @ | 0 | (+.f64 1 (exp.f64 b)) |
| 0.0ms | b | @ | inf | (+.f64 1 (exp.f64 b)) |
| 1× | batch-egg-rewrite |
| 533× | pow1_binary64 |
| 518× | add-sqr-sqrt_binary64 |
| 494× | add-log-exp_binary64 |
| 494× | log1p-expm1-u_binary64 |
| 494× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 11 |
| 1 | 115 | 11 |
| 2 | 1345 | 11 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 1 (exp.f64 b))) |
(+.f64 1 (exp.f64 b)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 b)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (sqrt.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 b) 2) 1) (expm1.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1))))) |
| 1× | egg-herbie |
| 1923× | fma-def_binary64 |
| 803× | unswap-sqr_binary64 |
| 486× | sqr-pow_binary64 |
| 426× | *-commutative_binary64 |
| 277× | cube-prod_binary64 |
Useful iterations: 10 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 85 |
| 1 | 70 | 79 |
| 2 | 164 | 79 |
| 3 | 460 | 69 |
| 4 | 1293 | 68 |
| 5 | 2752 | 68 |
| 6 | 4230 | 68 |
| 7 | 4363 | 68 |
| 8 | 4576 | 68 |
| 9 | 4841 | 68 |
| 10 | 5197 | 66 |
| 11 | 6493 | 66 |
| 12 | 7165 | 66 |
| 13 | 7727 | 66 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 2) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2))) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4))))) |
2 |
(+.f64 2 b) |
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) |
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) |
| Outputs |
|---|
(log.f64 2) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(fma.f64 1/2 b (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2))) |
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2))) |
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2))) |
(fma.f64 b (fma.f64 b 1/8 1/2) (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4))))) |
(fma.f64 1/2 b (+.f64 (fma.f64 1/8 (*.f64 b b) (log.f64 2)) (*.f64 -1/192 (pow.f64 b 4)))) |
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2)))) |
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2)))) |
(fma.f64 b (fma.f64 b 1/8 1/2) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))) |
2 |
(+.f64 2 b) |
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) |
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b)))) |
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b)) |
(fma.f64 (fma.f64 1/2 b 1) b 2) |
(fma.f64 b (fma.f64 1/2 b 1) 2) |
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) |
(fma.f64 1/6 (pow.f64 b 3) (+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))) |
(+.f64 (fma.f64 1/2 (*.f64 b b) b) (fma.f64 1/6 (pow.f64 b 3) 2)) |
(+.f64 2 (fma.f64 1/6 (pow.f64 b 3) (fma.f64 1/2 (*.f64 b b) b))) |
(fma.f64 1/6 (pow.f64 b 3) (fma.f64 (fma.f64 1/2 b 1) b 2)) |
(fma.f64 b (*.f64 b (fma.f64 b 1/6 1/2)) (+.f64 2 b)) |
(fma.f64 b (fma.f64 b (fma.f64 b 1/6 1/2) 1) 2) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (exp.f64 a) (exp.f64 b)) | |
| ✓ | 0.0b | (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) |
| ✓ | 3.0b | (-.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) |
| 4.1b | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 38 to 13 computations (65.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | a | @ | 0 | (-.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) |
| 0.0ms | a | @ | 0 | (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) |
| 0.0ms | b | @ | 0 | (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) |
| 0.0ms | b | @ | 0 | (-.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) |
| 0.0ms | a | @ | -inf | (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) |
| 1× | batch-egg-rewrite |
| 663× | prod-diff_binary64 |
| 423× | log-prod_binary64 |
| 409× | fma-def_binary64 |
| 275× | pow-prod-down_binary64 |
| 253× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 29 |
| 1 | 213 | 23 |
| 2 | 3011 | 23 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) |
(+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 0)))) (#(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 0 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (exp.f64 (*.f64 3 a)) (pow.f64 (exp.f64 b) 3))) 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-1)) (sqrt.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) (-.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (-.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (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 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (*.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)) (/.f64 1 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 1 (-.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) -1) 1) (+.f64 1 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (-.f64 1 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)) (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (-.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (-.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))) (neg.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (neg.f64 (-.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) 1) (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)) 1) (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1) (-.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) -1) 1) (+.f64 1 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (-.f64 1 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (E.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (fma.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (E.f64) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (fma.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (E.f64) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (/.f64 1 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 2) (cbrt.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (sqrt.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) 1))))) |
| 1× | egg-herbie |
| 634× | distribute-rgt-in_binary64 |
| 599× | distribute-lft-in_binary64 |
| 495× | *-commutative_binary64 |
| 467× | associate-*l/_binary64 |
| 375× | associate-/r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 840 |
| 1 | 205 | 836 |
| 2 | 623 | 824 |
| 3 | 2868 | 800 |
| 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 (exp.f64 a) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(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)))))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (+.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 1 (+.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 1 (+.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)))))))))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (+.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 1 (+.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))))))) |
| 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))))) |
(+.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))))) |
(+.f64 (log1p.f64 (exp.f64 b)) (fma.f64 (*.f64 a a) (+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/2 (+.f64 1 (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))) (+.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 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) |
(+.f64 (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.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 1/2 (*.f64 (*.f64 a a) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (log1p.f64 (exp.f64 b))) (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))))) (/.f64 a (+.f64 1 (exp.f64 b))))) |
(+.f64 (fma.f64 (pow.f64 a 3) (+.f64 (+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/3 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1/6 (+.f64 1 (exp.f64 b)))) (log1p.f64 (exp.f64 b))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (/.f64 a (+.f64 1 (exp.f64 b))))) |
(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))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(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))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(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))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(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))) |
(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 (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 1/2 (*.f64 b (*.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (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 (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))))) |
(+.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 1/2 (*.f64 b (*.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a)))) (fma.f64 1/6 (*.f64 (pow.f64 b 3) (+.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))))) (log1p.f64 (exp.f64 a)))) |
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (fma.f64 1/6 (*.f64 (pow.f64 b 3) (+.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))))) (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 (log1p.f64 (exp.f64 a)) (fma.f64 (pow.f64 b 3) (+.f64 (+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 1/3 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 1/6 (+.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 b (+.f64 1 (exp.f64 a)))))) |
(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))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(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))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(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))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(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))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (log1p.f64 (exp.f64 b))) |
(+.f64 1 (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))) |
(+.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))) |
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 1 (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 1 (+.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 1 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))) |
(+.f64 (log1p.f64 (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 1 (/.f64 a (+.f64 1 (exp.f64 b)))))) |
(fma.f64 (*.f64 a a) (+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 1 (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 1 (+.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 1 (+.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 1/6 (pow.f64 a 3)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) |
(+.f64 1 (+.f64 (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.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 1 (+.f64 (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)))) (log1p.f64 (exp.f64 b))) (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))))) (/.f64 a (+.f64 1 (exp.f64 b)))))) |
(+.f64 (log1p.f64 (exp.f64 b)) (+.f64 (fma.f64 (pow.f64 a 3) (+.f64 (+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/3 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1/6 (+.f64 1 (exp.f64 b)))) (/.f64 a (+.f64 1 (exp.f64 b)))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) 1))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) |
(+.f64 1 (log1p.f64 (exp.f64 a))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) |
(+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 1 (log1p.f64 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (+.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 (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 1/2 (*.f64 b (*.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (log1p.f64 (exp.f64 a)))) |
(+.f64 1 (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 1 (+.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)))))) |
(+.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 1 (+.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 (+.f64 1 (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 (+.f64 (fma.f64 1/2 (*.f64 b (*.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a)))) (fma.f64 1/6 (*.f64 (pow.f64 b 3) (+.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))))) (log1p.f64 (exp.f64 a)))) 1) |
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (fma.f64 1/6 (*.f64 (pow.f64 b 3) (+.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))))) (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))) 1))) |
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (fma.f64 (pow.f64 b 3) (+.f64 (+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 1/3 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 1/6 (+.f64 1 (exp.f64 a)))) (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))) 1))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (exp.f64 a) (exp.f64 b)) | |
| ✓ | 0.5b | (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| ✓ | 4.1b | (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) |
Compiled 41 to 8 computations (80.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 63.0ms | a | @ | inf | (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) |
| 23.0ms | b | @ | -inf | (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) |
| 14.0ms | a | @ | -inf | (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) |
| 14.0ms | b | @ | inf | (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) |
| 2.0ms | a | @ | 0 | (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) |
| 1× | batch-egg-rewrite |
| 796× | pow1_binary64 |
| 736× | add-log-exp_binary64 |
| 736× | log1p-expm1-u_binary64 |
| 736× | expm1-log1p-u_binary64 |
| 717× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 22 |
| 1 | 158 | 22 |
| 2 | 2043 | 22 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) |
(sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4)) (log.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (sqrt.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (sqrt.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 pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.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)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.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)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) |
| 1× | egg-herbie |
| 654× | fma-def_binary64 |
| 491× | associate-*l*_binary64 |
| 457× | associate-*r*_binary64 |
| 296× | distribute-rgt-out_binary64 |
| 292× | distribute-lft-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 114 | 936 |
| 1 | 365 | 883 |
| 2 | 1201 | 741 |
| 3 | 5695 | 734 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 (*.f64 1/2 (/.f64 a (+.f64 1 (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))) |
(+.f64 (*.f64 1/2 (/.f64 a (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b)))))) |
(+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (*.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2)) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 3 (/.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2)) (+.f64 1 (exp.f64 b))))) (+.f64 1 (exp.f64 b)))))) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 a (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))))) |
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))) |
(+.f64 (*.f64 1/2 (/.f64 b (+.f64 1 (exp.f64 a)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))))) |
(+.f64 (*.f64 1/2 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))))) |
(+.f64 (*.f64 1/2 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (*.f64 3 (/.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) 2)) (+.f64 1 (exp.f64 a))))) (+.f64 1 (exp.f64 a)))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (pow.f64 b 3))) (+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2)))))) |
(sqrt.f64 (+.f64 1 (exp.f64 b))) |
(+.f64 (*.f64 1/2 (*.f64 a (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (sqrt.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 (*.f64 1/2 (*.f64 a (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2)) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (sqrt.f64 (+.f64 1 (exp.f64 b))))) |
(+.f64 (*.f64 1/2 (*.f64 a (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 a 3) (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2)) (+.f64 1 (exp.f64 b)))))) (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2)) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (sqrt.f64 (+.f64 1 (exp.f64 b)))))) |
(sqrt.f64 (+.f64 1 (exp.f64 a))) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) b))) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) 2)) (pow.f64 b 2)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) b)))) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) 2)) (pow.f64 b 2)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) 2)) (+.f64 1 (exp.f64 a))))) (pow.f64 b 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) b))))) |
| Outputs |
|---|
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 (*.f64 1/2 (/.f64 a (+.f64 1 (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))) |
(fma.f64 1/2 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))) |
(+.f64 (*.f64 1/2 (/.f64 a (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b)))))) |
(fma.f64 1/2 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a a)) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b)))))) |
(fma.f64 1/2 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 1/2 (*.f64 (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a a)) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b)))))) |
(fma.f64 1/2 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 -1/4 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/4 (+.f64 1 (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b)))))) |
(+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (*.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2)) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 3 (/.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2)) (+.f64 1 (exp.f64 b))))) (+.f64 1 (exp.f64 b)))))) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 a (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))))) |
(fma.f64 1/6 (*.f64 (+.f64 (/.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2)) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 (*.f64 3 (+.f64 1/6 (*.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2)) (+.f64 1 (exp.f64 b)))))) (+.f64 1 (exp.f64 b))))) (pow.f64 a 3)) (fma.f64 1/2 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a a)) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))))) |
(fma.f64 1/6 (*.f64 (+.f64 (/.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 3 (/.f64 (-.f64 1/6 (/.f64 1/2 (/.f64 (+.f64 1 (exp.f64 b)) (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2))))) (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2)))))) (pow.f64 a 3)) (fma.f64 1/2 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 1/2 (*.f64 (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a a)) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))))) |
(fma.f64 1/2 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 (pow.f64 a 3) (fma.f64 1/6 (fma.f64 -3/2 (/.f64 (-.f64 1/2 (/.f64 1/4 (+.f64 1 (exp.f64 b)))) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 (+.f64 1/2 (*.f64 -3/2 (/.f64 (-.f64 1/2 (/.f64 1/4 (+.f64 1 (exp.f64 b)))) (+.f64 1 (exp.f64 b))))) (+.f64 1 (exp.f64 b)))) (/.f64 1/24 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 -1/4 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/4 (+.f64 1 (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))))) |
(fma.f64 1/2 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 (pow.f64 a 3) (fma.f64 1/6 (fma.f64 -3/2 (/.f64 (+.f64 1/2 (/.f64 -1/4 (+.f64 1 (exp.f64 b)))) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 (+.f64 1/2 (*.f64 -3/2 (/.f64 (+.f64 1/2 (/.f64 -1/4 (+.f64 1 (exp.f64 b)))) (+.f64 1 (exp.f64 b))))) (+.f64 1 (exp.f64 b)))) (/.f64 1/24 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 -1/4 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/4 (+.f64 1 (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))))))) |
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))) |
(+.f64 (*.f64 1/2 (/.f64 b (+.f64 1 (exp.f64 a)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))))) |
(fma.f64 1/2 (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))))) |
(+.f64 (*.f64 1/2 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))))) |
(+.f64 (fma.f64 1/2 (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)))) |
(fma.f64 1/2 (/.f64 b (+.f64 1 (exp.f64 a))) (fma.f64 1/2 (*.f64 b (*.f64 b (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))))) |
(fma.f64 1/2 (/.f64 b (+.f64 1 (exp.f64 a))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 -1/4 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 1/4 (+.f64 1 (exp.f64 a)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))))) |
(+.f64 (*.f64 1/2 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (*.f64 3 (/.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) 2)) (+.f64 1 (exp.f64 a))))) (+.f64 1 (exp.f64 a)))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (pow.f64 b 3))) (+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2)))))) |
(fma.f64 1/2 (/.f64 b (+.f64 1 (exp.f64 a))) (fma.f64 1/6 (*.f64 (fma.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (fma.f64 3 (/.f64 (+.f64 1/6 (*.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) 2)) (+.f64 1 (exp.f64 a))))) (+.f64 1 (exp.f64 a))) (/.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (pow.f64 b 3)) (+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)))))) |
(fma.f64 1/2 (/.f64 b (+.f64 1 (exp.f64 a))) (fma.f64 1/6 (*.f64 (fma.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (fma.f64 3 (/.f64 (+.f64 1/6 (/.f64 (*.f64 -1/2 (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) 2))) (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a))) (/.f64 1/4 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (pow.f64 b 3)) (fma.f64 1/2 (*.f64 b (*.f64 b (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))))))) |
(fma.f64 1/2 (/.f64 b (+.f64 1 (exp.f64 a))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 -1/4 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 1/4 (+.f64 1 (exp.f64 a)))) (fma.f64 (pow.f64 b 3) (fma.f64 1/6 (fma.f64 -3/2 (/.f64 (-.f64 1/2 (/.f64 1/4 (+.f64 1 (exp.f64 a)))) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (+.f64 1/2 (*.f64 -3/2 (/.f64 (-.f64 1/2 (/.f64 1/4 (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a))))) (+.f64 1 (exp.f64 a)))) (/.f64 1/24 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))))))) |
(fma.f64 1/2 (/.f64 b (+.f64 1 (exp.f64 a))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 -1/4 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 1/4 (+.f64 1 (exp.f64 a)))) (fma.f64 (pow.f64 b 3) (fma.f64 1/6 (fma.f64 -3/2 (/.f64 (+.f64 1/2 (/.f64 -1/4 (+.f64 1 (exp.f64 a)))) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (+.f64 1/2 (*.f64 -3/2 (/.f64 (+.f64 1/2 (/.f64 -1/4 (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a))))) (+.f64 1 (exp.f64 a)))) (/.f64 1/24 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))))))) |
(sqrt.f64 (+.f64 1 (exp.f64 b))) |
(+.f64 (*.f64 1/2 (*.f64 a (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (sqrt.f64 (+.f64 1 (exp.f64 b)))) |
(fma.f64 1/2 (*.f64 a (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) (sqrt.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 (*.f64 1/2 (*.f64 a (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2)) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (sqrt.f64 (+.f64 1 (exp.f64 b))))) |
(fma.f64 1/2 (*.f64 a (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) (fma.f64 1/2 (*.f64 (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2)) (*.f64 (*.f64 a a) (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (sqrt.f64 (+.f64 1 (exp.f64 b))))) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 1/2 a) (*.f64 1/2 (*.f64 (*.f64 a a) (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2))))))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (+.f64 a (*.f64 (*.f64 a a) (-.f64 1/2 (/.f64 1/4 (+.f64 1 (exp.f64 b))))))) (sqrt.f64 (+.f64 1 (exp.f64 b)))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (+.f64 a (*.f64 (*.f64 a a) (+.f64 1/2 (/.f64 -1/4 (+.f64 1 (exp.f64 b))))))) (sqrt.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 (*.f64 1/2 (*.f64 a (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 a 3) (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2)) (+.f64 1 (exp.f64 b)))))) (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2)) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (sqrt.f64 (+.f64 1 (exp.f64 b)))))) |
(fma.f64 1/2 (*.f64 a (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) (fma.f64 1/2 (*.f64 (pow.f64 a 3) (*.f64 (+.f64 1/6 (*.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2)) (+.f64 1 (exp.f64 b))))) (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (fma.f64 1/2 (*.f64 (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2)) (*.f64 (*.f64 a a) (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (sqrt.f64 (+.f64 1 (exp.f64 b)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/6 (/.f64 1/2 (/.f64 (+.f64 1 (exp.f64 b)) (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2))))) (pow.f64 a 3))) (*.f64 1/2 (*.f64 (*.f64 a a) (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2)))))) (fma.f64 1/2 (*.f64 a (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) (sqrt.f64 (+.f64 1 (exp.f64 b))))) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 1/2 (+.f64 a (*.f64 (fma.f64 (/.f64 (-.f64 1/2 (/.f64 1/4 (+.f64 1 (exp.f64 b)))) (+.f64 1 (exp.f64 b))) -1/2 1/6) (pow.f64 a 3)))) (*.f64 1/2 (*.f64 (*.f64 a a) (-.f64 1/2 (/.f64 1/4 (+.f64 1 (exp.f64 b))))))))) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (+.f64 a (*.f64 (*.f64 a a) (+.f64 (*.f64 a (fma.f64 (/.f64 (+.f64 1/2 (/.f64 -1/4 (+.f64 1 (exp.f64 b)))) (+.f64 1 (exp.f64 b))) -1/2 1/6)) (+.f64 1/2 (/.f64 -1/4 (+.f64 1 (exp.f64 b)))))))))) |
(sqrt.f64 (+.f64 1 (exp.f64 a))) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) b))) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 (*.f64 b (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))) |
(fma.f64 1/2 (*.f64 b (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (sqrt.f64 (+.f64 1 (exp.f64 a)))) |
(fma.f64 b (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (sqrt.f64 (+.f64 1 (exp.f64 a)))) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) 2)) (pow.f64 b 2)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) b)))) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 (*.f64 b b) (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) 2)))) (*.f64 b (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 b (*.f64 b (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) 2)))) b)) (sqrt.f64 (+.f64 1 (exp.f64 a)))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (fma.f64 (*.f64 b b) (-.f64 1/2 (/.f64 1/4 (+.f64 1 (exp.f64 a)))) b)) (sqrt.f64 (+.f64 1 (exp.f64 a)))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (fma.f64 (*.f64 b b) (+.f64 1/2 (/.f64 -1/4 (+.f64 1 (exp.f64 a)))) b)) (sqrt.f64 (+.f64 1 (exp.f64 a)))) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) 2)) (pow.f64 b 2)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) 2)) (+.f64 1 (exp.f64 a))))) (pow.f64 b 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) b))))) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 (*.f64 b b) (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) 2)))) (*.f64 1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 (+.f64 1/6 (*.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) 2)) (+.f64 1 (exp.f64 a))))) (pow.f64 b 3))) (*.f64 b (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))))) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 (+.f64 1/6 (/.f64 (*.f64 -1/2 (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) 2))) (+.f64 1 (exp.f64 a)))) (pow.f64 b 3)) b)) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (-.f64 1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) 2))))))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 1/2 (/.f64 1/4 (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a))) -1/2 1/6) (pow.f64 b 3) b) (*.f64 (*.f64 b b) (-.f64 1/2 (/.f64 1/4 (+.f64 1 (exp.f64 a))))))) (sqrt.f64 (+.f64 1 (exp.f64 a)))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 (*.f64 b b) (+.f64 (+.f64 1/2 (/.f64 -1/4 (+.f64 1 (exp.f64 a)))) (*.f64 b (fma.f64 (/.f64 (+.f64 1/2 (/.f64 -1/4 (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a))) -1/2 1/6)))) b)) (sqrt.f64 (+.f64 1 (exp.f64 a)))) |
Compiled 16538 to 7968 computations (51.8% saved)
18 alts after pruning (17 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 811 | 16 | 827 |
| Fresh | 2 | 1 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 4 | 1 | 5 |
| Total | 818 | 18 | 836 |
| Status | Error | Program |
|---|---|---|
| 32.2b | (log1p.f64 (exp.f64 b)) | |
| ▶ | 3.5b | (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3) |
| 34.0b | (+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2)))) | |
| 26.7b | (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))) | |
| 33.1b | (log.f64 (+.f64 2 b)) | |
| 18.9b | (exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) | |
| 1.7b | (+.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))))))) | |
| 32.9b | (+.f64 (*.f64 1/2 b) (log.f64 2)) | |
| 1.7b | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a)))))) | |
| ▶ | 30.4b | (/.f64 b (+.f64 1 (exp.f64 a))) |
| ▶ | 33.6b | (log.f64 2) |
| ▶ | 1.7b | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))))) |
| 32.6b | (-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1) | |
| 32.2b | (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) | |
| 2.2b | (+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) | |
| ✓ | 32.3b | (log1p.f64 (exp.f64 a)) |
| ▶ | 32.8b | (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2))) |
| 33.9b | (+.f64 (*.f64 1/2 a) (log.f64 2)) |
Compiled 413 to 300 computations (27.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 b (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))) |
| 0.0b | (log1p.f64 (exp.f64 a)) | |
| ✓ | 0.0b | (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))) |
| ✓ | 0.5b | (log1p.f64 (+.f64 (exp.f64 a) 1)) |
Compiled 45 to 25 computations (44.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | a | @ | -inf | (log1p.f64 (+.f64 (exp.f64 a) 1)) |
| 15.0ms | a | @ | inf | (log1p.f64 (+.f64 (exp.f64 a) 1)) |
| 1.0ms | a | @ | 0 | (log1p.f64 (+.f64 (exp.f64 a) 1)) |
| 0.0ms | a | @ | 0 | (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))) |
| 0.0ms | a | @ | inf | (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))) |
| 1× | batch-egg-rewrite |
| 831× | pow1_binary64 |
| 770× | add-log-exp_binary64 |
| 770× | expm1-log1p-u_binary64 |
| 769× | log1p-expm1-u_binary64 |
| 753× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 164 | 23 |
| 2 | 2130 | 23 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 (+.f64 (exp.f64 a) 1)) |
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))) |
(/.f64 b (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (+.f64 2 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 2 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 2 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 2) (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) (sqrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 2 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 2 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 2 (exp.f64 a))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (exp.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (expm1.f64 a)) (/.f64 1 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 a) 2) -1) (/.f64 1 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (expm1.f64 a) (+.f64 (pow.f64 (exp.f64 a) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 a) 2) -1) (expm1.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) -1)) (neg.f64 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 2 (exp.f64 a)) 3) 1) (+.f64 (*.f64 (+.f64 2 (exp.f64 a)) (+.f64 2 (exp.f64 a))) (+.f64 1 (*.f64 (+.f64 2 (exp.f64 a)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 2 (exp.f64 a)) (+.f64 2 (exp.f64 a))) 1) (+.f64 (+.f64 2 (exp.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.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 fma.f64 1 (exp.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (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 -.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 b (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 b (sqrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 (pow.f64 (exp.f64 a) 2) -1)) (expm1.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (+.f64 -1 (neg.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 (exp.f64 a) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))))) |
| 1× | egg-herbie |
| 562× | cancel-sign-sub-inv_binary64 |
| 541× | associate-+l+_binary64 |
| 510× | fma-neg_binary64 |
| 358× | fma-def_binary64 |
| 330× | associate-+r+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 447 |
| 1 | 167 | 428 |
| 2 | 606 | 411 |
| 3 | 2745 | 408 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 3) |
(+.f64 (*.f64 1/3 a) (log.f64 3)) |
(+.f64 (*.f64 1/3 a) (+.f64 (*.f64 1/9 (pow.f64 a 2)) (log.f64 3))) |
(+.f64 (*.f64 1/81 (pow.f64 a 3)) (+.f64 (*.f64 1/3 a) (+.f64 (*.f64 1/9 (pow.f64 a 2)) (log.f64 3)))) |
(log.f64 (+.f64 2 (exp.f64 a))) |
(log.f64 (+.f64 2 (exp.f64 a))) |
(log.f64 (+.f64 2 (exp.f64 a))) |
(log.f64 (+.f64 2 (exp.f64 a))) |
(log.f64 (+.f64 2 (exp.f64 a))) |
(log.f64 (+.f64 2 (exp.f64 a))) |
(log.f64 (+.f64 2 (exp.f64 a))) |
(log.f64 (+.f64 2 (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))))) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (exp.f64 a)) |
(+.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 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 1/2 b) |
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b))) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))) |
(/.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))) |
| Outputs |
|---|
(log.f64 3) |
(+.f64 (*.f64 1/3 a) (log.f64 3)) |
(fma.f64 1/3 a (log.f64 3)) |
(+.f64 (*.f64 1/3 a) (+.f64 (*.f64 1/9 (pow.f64 a 2)) (log.f64 3))) |
(fma.f64 1/3 a (fma.f64 1/9 (*.f64 a a) (log.f64 3))) |
(fma.f64 1/3 a (fma.f64 a (*.f64 a 1/9) (log.f64 3))) |
(+.f64 (*.f64 1/81 (pow.f64 a 3)) (+.f64 (*.f64 1/3 a) (+.f64 (*.f64 1/9 (pow.f64 a 2)) (log.f64 3)))) |
(fma.f64 1/81 (pow.f64 a 3) (fma.f64 1/3 a (fma.f64 1/9 (*.f64 a a) (log.f64 3)))) |
(fma.f64 1/3 a (fma.f64 1/81 (pow.f64 a 3) (fma.f64 a (*.f64 a 1/9) (log.f64 3)))) |
(log.f64 (+.f64 2 (exp.f64 a))) |
(log.f64 (+.f64 2 (exp.f64 a))) |
(log.f64 (+.f64 2 (exp.f64 a))) |
(log.f64 (+.f64 2 (exp.f64 a))) |
(log.f64 (+.f64 2 (exp.f64 a))) |
(log.f64 (+.f64 2 (exp.f64 a))) |
(log.f64 (+.f64 2 (exp.f64 a))) |
(log.f64 (+.f64 2 (exp.f64 a))) |
2 |
(+.f64 2 a) |
(+.f64 a 2) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) |
(fma.f64 1/2 (*.f64 a a) (+.f64 a 2)) |
(+.f64 a (fma.f64 (*.f64 a a) 1/2 2)) |
(+.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 (*.f64 a a) 1/2 2)) |
(+.f64 2 (fma.f64 (*.f64 a a) 1/2 (fma.f64 (pow.f64 a 3) 1/6 a))) |
(+.f64 1 (exp.f64 a)) |
(+.f64 (exp.f64 a) 1) |
(+.f64 1 (exp.f64 a)) |
(+.f64 (exp.f64 a) 1) |
(+.f64 1 (exp.f64 a)) |
(+.f64 (exp.f64 a) 1) |
(+.f64 1 (exp.f64 a)) |
(+.f64 (exp.f64 a) 1) |
(+.f64 1 (exp.f64 a)) |
(+.f64 (exp.f64 a) 1) |
(+.f64 1 (exp.f64 a)) |
(+.f64 (exp.f64 a) 1) |
(+.f64 1 (exp.f64 a)) |
(+.f64 (exp.f64 a) 1) |
(+.f64 1 (exp.f64 a)) |
(+.f64 (exp.f64 a) 1) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 (exp.f64 a) 1)) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 (exp.f64 a) 1)) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 (exp.f64 a) 1)) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 (exp.f64 a) 1)) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 (exp.f64 a) 1)) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 (exp.f64 a) 1)) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 (exp.f64 a) 1)) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 (exp.f64 a) 1)) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 (exp.f64 a) 1)) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 (exp.f64 a) 1)) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 (exp.f64 a) 1)) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 (exp.f64 a) 1)) |
(*.f64 1/2 b) |
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b))) |
(fma.f64 1/2 b (*.f64 -1/4 (*.f64 a b))) |
(*.f64 b (+.f64 1/2 (*.f64 a -1/4))) |
(*.f64 b (fma.f64 a -1/4 1/2)) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))) |
(fma.f64 1/2 b (*.f64 -1/4 (*.f64 a b))) |
(*.f64 b (+.f64 1/2 (*.f64 a -1/4))) |
(*.f64 b (fma.f64 a -1/4 1/2)) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))) |
(fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (*.f64 -1/4 (*.f64 a b))))) |
(fma.f64 1/2 b (-.f64 (fma.f64 -1/4 (*.f64 a b) (*.f64 a (*.f64 a 0))) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48))))) |
(-.f64 (*.f64 b (fma.f64 a -1/4 1/2)) (*.f64 (pow.f64 a 3) (*.f64 b -1/48))) |
(*.f64 b (-.f64 (fma.f64 a -1/4 1/2) (*.f64 (pow.f64 a 3) -1/48))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 (exp.f64 a) 1)) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 (exp.f64 a) 1)) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 (exp.f64 a) 1)) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 (exp.f64 a) 1)) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 (exp.f64 a) 1)) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 (exp.f64 a) 1)) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 (exp.f64 a) 1)) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 (exp.f64 a) 1)) |
Compiled 5 to 5 computations (0% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 1 (exp.f64 a)) | |
| 0.0b | (/.f64 b (+.f64 1 (exp.f64 a))) |
Compiled 17 to 9 computations (47.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2)) |
| ✓ | 0.0b | (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2))) |
Compiled 39 to 32 computations (17.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | b | @ | 0 | (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2)) |
| 2.0ms | b | @ | 0 | (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2))) |
| 1.0ms | b | @ | inf | (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2))) |
| 1.0ms | b | @ | inf | (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2)) |
| 1.0ms | b | @ | -inf | (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2))) |
| 1× | batch-egg-rewrite |
| 532× | fma-def_binary64 |
| 505× | log-prod_binary64 |
| 369× | pow-prod-down_binary64 |
| 291× | pow2_binary64 |
| 288× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 24 |
| 1 | 243 | 24 |
| 2 | 3162 | 24 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2))) |
(+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2)) |
| Outputs |
|---|
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(log.f64 2) (*.f64 1/2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (fma.f64 1/8 (*.f64 b b) (*.f64 1/2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) 1/2) (fma.f64 b (*.f64 b 1/8) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2))) (sqrt.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2))) (*.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (*.f64 1/2 b)) (fma.f64 b (*.f64 b 1/8) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/512 (pow.f64 b 6) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 b (*.f64 b 1/8))) (*.f64 1/64 (pow.f64 b 4)))) (*.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 1/64 (pow.f64 b 4)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 1/8 (*.f64 b b) (log1p.f64 -1/2))) (*.f64 1/2 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/64 (pow.f64 b 4)) (fma.f64 1/8 (*.f64 b b) (log1p.f64 -1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 1/8 (*.f64 b b) (log1p.f64 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 b (*.f64 b 1/8) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2))) 2) (cbrt.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2))) (sqrt.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/512 (pow.f64 b 6) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 b (*.f64 b 1/8))) (*.f64 1/64 (pow.f64 b 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/64 (pow.f64 b 4)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 1/8 (*.f64 b b) (log1p.f64 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 b (*.f64 b 1/8))) (*.f64 1/64 (pow.f64 b 4))) (fma.f64 1/512 (pow.f64 b 6) (pow.f64 (log.f64 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 1/8 (*.f64 b b) (log1p.f64 -1/2)) (-.f64 (*.f64 1/64 (pow.f64 b 4)) (pow.f64 (log.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/512 (pow.f64 b 6) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 b (*.f64 b 1/8))) (*.f64 1/64 (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/512 (pow.f64 b 6) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/64 (pow.f64 b 4)) (*.f64 1/8 (*.f64 (*.f64 b b) (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/64 (pow.f64 b 4)) (pow.f64 (log.f64 2) 2)) (fma.f64 1/8 (*.f64 b b) (log1p.f64 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1/512 (pow.f64 b 6) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 b (*.f64 b 1/8))) (*.f64 1/64 (pow.f64 b 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 1/64 (pow.f64 b 4)) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 1/8 (*.f64 b b) (log1p.f64 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/64 (pow.f64 b 4))) (-.f64 (log.f64 2) (*.f64 b (*.f64 b 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 b (*.f64 b 1/8))) (*.f64 1/64 (pow.f64 b 4))) (fma.f64 1/512 (pow.f64 b 6) (pow.f64 (log.f64 2) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 1/8 (*.f64 b b) (log1p.f64 -1/2)) (-.f64 (*.f64 1/64 (pow.f64 b 4)) (pow.f64 (log.f64 2) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (pow.f64 (exp.f64 1/8) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/8)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 b (*.f64 b 1/8) (log.f64 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (*.f64 b 1/8) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/8 (*.f64 b b) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) 1/8 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (*.f64 b 1/8)) 1 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 2) 1 (*.f64 b (*.f64 b 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 b (*.f64 b 1/8)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 b (*.f64 b 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (*.f64 1/64 (pow.f64 b 4))) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/64 (pow.f64 b 4))) (*.f64 1/2 (pow.f64 (cbrt.f64 b) 2)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)) (*.f64 b (*.f64 b 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (*.f64 b (*.f64 b 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 b) b) (*.f64 (pow.f64 (cbrt.f64 b) 2) 1/8) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 1/8)) (*.f64 b (sqrt.f64 1/8)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 b (*.f64 b 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/8 b) b (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/8 (*.f64 (cbrt.f64 b) b)) (pow.f64 (cbrt.f64 b) 2) (log.f64 2)))))) |
| 1× | egg-herbie |
| 778× | sqr-pow_binary64 |
| 540× | associate-*l*_binary64 |
| 540× | cube-prod_binary64 |
| 528× | fabs-mul_binary64 |
| 513× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 199 |
| 1 | 28 | 179 |
| 2 | 48 | 177 |
| 3 | 93 | 161 |
| 4 | 207 | 161 |
| 5 | 544 | 161 |
| 6 | 1820 | 161 |
| 7 | 3149 | 161 |
| 8 | 3355 | 161 |
| 9 | 3569 | 161 |
| 10 | 3789 | 161 |
| 11 | 4103 | 161 |
| 12 | 4505 | 161 |
| 13 | 5018 | 161 |
| 14 | 5585 | 161 |
| 15 | 6269 | 161 |
| 16 | 7102 | 161 |
| 17 | 7494 | 161 |
| 18 | 7782 | 161 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 2) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(*.f64 1/8 (pow.f64 b 2)) |
(+.f64 (*.f64 1/2 b) (*.f64 1/8 (pow.f64 b 2))) |
(+.f64 (*.f64 1/2 b) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 b 2)))) |
(+.f64 (*.f64 1/2 b) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 b 2)))) |
(*.f64 1/8 (pow.f64 b 2)) |
(+.f64 (*.f64 1/2 b) (*.f64 1/8 (pow.f64 b 2))) |
(+.f64 (*.f64 1/2 b) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 b 2)))) |
(+.f64 (*.f64 1/2 b) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 b 2)))) |
(log.f64 2) |
(*.f64 1/8 (pow.f64 b 2)) |
(+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 b 2))) |
(+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 b 2))) |
(+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 b 2))) |
(*.f64 1/8 (pow.f64 b 2)) |
(+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 b 2))) |
(+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 b 2))) |
(+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 b 2))) |
| Outputs |
|---|
(log.f64 2) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(fma.f64 1/2 b (log.f64 2)) |
(*.f64 1/8 (pow.f64 b 2)) |
(*.f64 1/8 (*.f64 b b)) |
(*.f64 b (*.f64 b 1/8)) |
(+.f64 (*.f64 1/2 b) (*.f64 1/8 (pow.f64 b 2))) |
(fma.f64 1/2 b (*.f64 1/8 (*.f64 b b))) |
(fma.f64 1/8 (*.f64 b b) (*.f64 1/2 b)) |
(*.f64 b (+.f64 1/2 (*.f64 b 1/8))) |
(*.f64 b (fma.f64 b 1/8 1/2)) |
(+.f64 (*.f64 1/2 b) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 b 2)))) |
(+.f64 (fma.f64 1/2 b (log.f64 2)) (*.f64 1/8 (*.f64 b b))) |
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2))) |
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2))) |
(fma.f64 b (fma.f64 b 1/8 1/2) (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 b 2)))) |
(+.f64 (fma.f64 1/2 b (log.f64 2)) (*.f64 1/8 (*.f64 b b))) |
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2))) |
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2))) |
(fma.f64 b (fma.f64 b 1/8 1/2) (log.f64 2)) |
(*.f64 1/8 (pow.f64 b 2)) |
(*.f64 1/8 (*.f64 b b)) |
(*.f64 b (*.f64 b 1/8)) |
(+.f64 (*.f64 1/2 b) (*.f64 1/8 (pow.f64 b 2))) |
(fma.f64 1/2 b (*.f64 1/8 (*.f64 b b))) |
(fma.f64 1/8 (*.f64 b b) (*.f64 1/2 b)) |
(*.f64 b (+.f64 1/2 (*.f64 b 1/8))) |
(*.f64 b (fma.f64 b 1/8 1/2)) |
(+.f64 (*.f64 1/2 b) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 b 2)))) |
(+.f64 (fma.f64 1/2 b (log.f64 2)) (*.f64 1/8 (*.f64 b b))) |
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2))) |
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2))) |
(fma.f64 b (fma.f64 b 1/8 1/2) (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 b 2)))) |
(+.f64 (fma.f64 1/2 b (log.f64 2)) (*.f64 1/8 (*.f64 b b))) |
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2))) |
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2))) |
(fma.f64 b (fma.f64 b 1/8 1/2) (log.f64 2)) |
(log.f64 2) |
(*.f64 1/8 (pow.f64 b 2)) |
(*.f64 1/8 (*.f64 b b)) |
(*.f64 b (*.f64 b 1/8)) |
(+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 b 2))) |
(+.f64 (log.f64 2) (*.f64 1/8 (*.f64 b b))) |
(fma.f64 1/8 (*.f64 b b) (log.f64 2)) |
(fma.f64 b (*.f64 b 1/8) (log.f64 2)) |
(+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 b 2))) |
(+.f64 (log.f64 2) (*.f64 1/8 (*.f64 b b))) |
(fma.f64 1/8 (*.f64 b b) (log.f64 2)) |
(fma.f64 b (*.f64 b 1/8) (log.f64 2)) |
(+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 b 2))) |
(+.f64 (log.f64 2) (*.f64 1/8 (*.f64 b b))) |
(fma.f64 1/8 (*.f64 b b) (log.f64 2)) |
(fma.f64 b (*.f64 b 1/8) (log.f64 2)) |
(*.f64 1/8 (pow.f64 b 2)) |
(*.f64 1/8 (*.f64 b b)) |
(*.f64 b (*.f64 b 1/8)) |
(+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 b 2))) |
(+.f64 (log.f64 2) (*.f64 1/8 (*.f64 b b))) |
(fma.f64 1/8 (*.f64 b b) (log.f64 2)) |
(fma.f64 b (*.f64 b 1/8) (log.f64 2)) |
(+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 b 2))) |
(+.f64 (log.f64 2) (*.f64 1/8 (*.f64 b b))) |
(fma.f64 1/8 (*.f64 b b) (log.f64 2)) |
(fma.f64 b (*.f64 b 1/8) (log.f64 2)) |
(+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 b 2))) |
(+.f64 (log.f64 2) (*.f64 1/8 (*.f64 b b))) |
(fma.f64 1/8 (*.f64 b b) (log.f64 2)) |
(fma.f64 b (*.f64 b 1/8) (log.f64 2)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 b (+.f64 (exp.f64 a) 1)) |
| 0.0b | (log1p.f64 (exp.f64 a)) | |
| ✓ | 0.9b | (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3) |
| ✓ | 1.0b | (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) |
Compiled 55 to 27 computations (50.9% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | a | @ | 0 | (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) |
| 4.0ms | a | @ | 0 | (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3) |
| 3.0ms | b | @ | 0 | (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3) |
| 2.0ms | a | @ | inf | (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) |
| 2.0ms | a | @ | -inf | (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) |
| 1× | batch-egg-rewrite |
| 810× | prod-diff_binary64 |
| 521× | log-prod_binary64 |
| 298× | fma-def_binary64 |
| 288× | pow2_binary64 |
| 197× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 43 |
| 1 | 258 | 43 |
| 2 | 3167 | 43 |
| 1× | node limit |
| Inputs |
|---|
(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)))) 3) |
(/.f64 b (+.f64 (exp.f64 a) 1)) |
| Outputs |
|---|
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(exp.f64 a))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 b (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 b (sqrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 1 (exp.f64 (*.f64 3 a)))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (expm1.f64 (+.f64 a a))) (expm1.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (+.f64 -1 (neg.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(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)))))) |
| 1× | egg-herbie |
| 804× | associate-+r+_binary64 |
| 534× | fma-neg_binary64 |
| 375× | +-commutative_binary64 |
| 325× | associate-*r*_binary64 |
| 312× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 249 | 3525 |
| 1 | 908 | 3084 |
| 2 | 3734 | 2945 |
| 3 | 7934 | 2945 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3) |
(+.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3) (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/9)))) |
(+.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3) (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))))) (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/9))))) |
(+.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 5)) 1/9))) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 3) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3))) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (pow.f64 a 3)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3) (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))))) (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/9)))))) |
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3) |
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3) |
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3) |
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3) |
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3) |
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3) |
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3) |
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) |
(+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) (*.f64 1/3 (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/9)))) |
(+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) (+.f64 (*.f64 -1/9 (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 7)) 1/9))) (*.f64 1/3 (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/9))))) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3) (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 (pow.f64 1 4) 1/9)))) (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3)))) (pow.f64 b 3)))) (+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) (+.f64 (*.f64 -1/9 (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 7)) 1/9))) (*.f64 1/3 (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/9)))))) |
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 b) (log.f64 2))) |
(+.f64 (*.f64 a (+.f64 (*.f64 2/3 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4)) 1/9))) (*.f64 1/3 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4)) 1/9))))) (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 b) (log.f64 2)))) |
(+.f64 (*.f64 a (+.f64 (*.f64 2/3 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4)) 1/9))) (*.f64 1/3 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4)) 1/9))))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9)))))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/3) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9)))))))) (*.f64 1/9 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4)) 1/9))))) (*.f64 2/9 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9)))))) (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 b) (log.f64 2))))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/3) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9)))))))) (*.f64 1/9 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4)) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/9))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 2/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 5)) 1/9))) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 3) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3))) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))))) (*.f64 2/9 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 8)) 1/9))))) (+.f64 (*.f64 2/9 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 5)) 1/9))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 3) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3))) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 2/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 5)) 1/9))) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))))))))))) (pow.f64 a 3)) (+.f64 (*.f64 a (+.f64 (*.f64 2/3 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4)) 1/9))) (*.f64 1/3 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4)) 1/9))))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9)))))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/3) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9)))))))) (*.f64 1/9 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4)) 1/9))))) (*.f64 2/9 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9)))))) (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 b) (log.f64 2)))))) |
(*.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 1 1/3)) |
(*.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 1 1/3)) |
(*.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 1 1/3)) |
(*.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 1 1/3)) |
(*.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 1 1/3)) |
(*.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 1 1/3)) |
(*.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 1 1/3)) |
(*.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 1 1/3)) |
(*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)) |
(+.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)) (*.f64 b (+.f64 (*.f64 2/3 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4) 1) 1/9))) (*.f64 1/3 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4) 1) 1/9)))))) |
(+.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)) (+.f64 (*.f64 b (+.f64 (*.f64 2/3 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4) 1) 1/9))) (*.f64 1/3 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4) 1) 1/9))))) (*.f64 (pow.f64 b 2) (+.f64 (*.f64 (pow.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 1/3) (+.f64 (*.f64 1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (*.f64 2/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/9))) (*.f64 -1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/9)))))))) |
(+.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)) (+.f64 (*.f64 b (+.f64 (*.f64 2/3 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4) 1) 1/9))) (*.f64 1/3 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4) 1) 1/9))))) (+.f64 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 (pow.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 1/3) (+.f64 (*.f64 1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (*.f64 2/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/9))) (*.f64 -1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/9)))))) (*.f64 (+.f64 (*.f64 -2/27 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9)))) (+.f64 (*.f64 (pow.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 (pow.f64 1 4) 1/9)))) (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3)))))) (*.f64 -2/27 (*.f64 (/.f64 1 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (pow.f64 1 1/9))))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (+.f64 (*.f64 1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (+.f64 1 (exp.f64 a))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/9))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 (pow.f64 1 4) 1/9)))) (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3))))))))) (pow.f64 b 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 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 1/2 b) |
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b))) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))) |
(/.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))) |
| Outputs |
|---|
(pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3) |
(cbrt.f64 (fma.f64 1/2 b (log.f64 2))) |
(+.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3) (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/9)))) |
(+.f64 (*.f64 (*.f64 1/3 (*.f64 (+.f64 1/2 (*.f64 -1/4 b)) a)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18))) (cbrt.f64 (fma.f64 1/2 b (log.f64 2)))) |
(fma.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 b 1/4)) a) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18))) (cbrt.f64 (fma.f64 1/2 b (log.f64 2)))) |
(fma.f64 1/3 (*.f64 a (*.f64 (+.f64 1/2 (*.f64 b -1/4)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18)))) (cbrt.f64 (fma.f64 1/2 b (log.f64 2)))) |
(+.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3) (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))))) (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/9))))) |
(+.f64 (*.f64 1/3 (+.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2))) (*.f64 a a)) (-.f64 1/8 (+.f64 (*.f64 b 0) (*.f64 (*.f64 1/3 (pow.f64 (+.f64 1/2 (*.f64 -1/4 b)) 2)) (*.f64 (pow.f64 (/.f64 1 (fma.f64 1/2 b (log.f64 2))) 1/18) (pow.f64 (/.f64 1 (fma.f64 1/2 b (log.f64 2))) 1/18)))))) (*.f64 (+.f64 1/2 (*.f64 -1/4 b)) (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18)))))) (cbrt.f64 (fma.f64 1/2 b (log.f64 2)))) |
(fma.f64 1/3 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2))) (*.f64 a a)) (-.f64 1/8 (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 b 1/4)) 2) (*.f64 (pow.f64 (/.f64 1 (fma.f64 1/2 b (log.f64 2))) 1/18) (pow.f64 (/.f64 1 (fma.f64 1/2 b (log.f64 2))) 1/18))))) (*.f64 (*.f64 (-.f64 1/2 (*.f64 b 1/4)) a) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18)))) (cbrt.f64 (fma.f64 1/2 b (log.f64 2)))) |
(fma.f64 1/3 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2))) (*.f64 a a)) (-.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 1/2 b (log.f64 2))) 1/18) (pow.f64 (/.f64 1 (fma.f64 1/2 b (log.f64 2))) 1/18)) (*.f64 1/3 (pow.f64 (+.f64 1/2 (*.f64 b -1/4)) 2)))) (*.f64 a (*.f64 (+.f64 1/2 (*.f64 b -1/4)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18))))) (cbrt.f64 (fma.f64 1/2 b (log.f64 2)))) |
(+.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 5)) 1/9))) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 3) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3))) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (pow.f64 a 3)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3) (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))))) (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/9)))))) |
(+.f64 (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2))) (*.f64 (fma.f64 2/3 (*.f64 (+.f64 1/2 (*.f64 -1/4 b)) (*.f64 (-.f64 1/8 (+.f64 (*.f64 b 0) (*.f64 (*.f64 1/3 (pow.f64 (+.f64 1/2 (*.f64 -1/4 b)) 2)) (*.f64 (pow.f64 (/.f64 1 (fma.f64 1/2 b (log.f64 2))) 1/18) (pow.f64 (/.f64 1 (fma.f64 1/2 b (log.f64 2))) 1/18))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 5)) 1/18)))) (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2))) (pow.f64 (+.f64 1/2 (*.f64 -1/4 b)) 3)) (fma.f64 1/24 b (fma.f64 -1/16 b (*.f64 -1/2 (*.f64 b 0)))))) (pow.f64 a 3))) (*.f64 1/3 (+.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2))) (*.f64 a a)) (-.f64 1/8 (+.f64 (*.f64 b 0) (*.f64 (*.f64 1/3 (pow.f64 (+.f64 1/2 (*.f64 -1/4 b)) 2)) (*.f64 (pow.f64 (/.f64 1 (fma.f64 1/2 b (log.f64 2))) 1/18) (pow.f64 (/.f64 1 (fma.f64 1/2 b (log.f64 2))) 1/18)))))) (*.f64 (+.f64 1/2 (*.f64 -1/4 b)) (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18))))))) (cbrt.f64 (fma.f64 1/2 b (log.f64 2)))) |
(+.f64 (fma.f64 1/3 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2))) (*.f64 a a)) (-.f64 1/8 (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 b 1/4)) 2) (*.f64 (pow.f64 (/.f64 1 (fma.f64 1/2 b (log.f64 2))) 1/18) (pow.f64 (/.f64 1 (fma.f64 1/2 b (log.f64 2))) 1/18))))) (*.f64 (*.f64 (-.f64 1/2 (*.f64 b 1/4)) a) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18)))) (cbrt.f64 (fma.f64 1/2 b (log.f64 2)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2))) (*.f64 (*.f64 (pow.f64 a 3) (fma.f64 2/3 (*.f64 (-.f64 1/2 (*.f64 b 1/4)) (*.f64 (-.f64 1/8 (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 b 1/4)) 2) (*.f64 (pow.f64 (/.f64 1 (fma.f64 1/2 b (log.f64 2))) 1/18) (pow.f64 (/.f64 1 (fma.f64 1/2 b (log.f64 2))) 1/18))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 5)) 1/18)))) (+.f64 (*.f64 b -1/48) (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2))) (pow.f64 (-.f64 1/2 (*.f64 b 1/4)) 3)) 0)))) -1/3))) |
(+.f64 (fma.f64 1/3 (*.f64 a (*.f64 (+.f64 1/2 (*.f64 b -1/4)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18)))) (cbrt.f64 (fma.f64 1/2 b (log.f64 2)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2))) (+.f64 (*.f64 (-.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 1/2 b (log.f64 2))) 1/18) (pow.f64 (/.f64 1 (fma.f64 1/2 b (log.f64 2))) 1/18)) (*.f64 1/3 (pow.f64 (+.f64 1/2 (*.f64 b -1/4)) 2)))) (*.f64 1/3 (*.f64 a a))) (*.f64 -1/3 (*.f64 (pow.f64 a 3) (fma.f64 2/3 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) (*.f64 (-.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 1/2 b (log.f64 2))) 1/18) (pow.f64 (/.f64 1 (fma.f64 1/2 b (log.f64 2))) 1/18)) (*.f64 1/3 (pow.f64 (+.f64 1/2 (*.f64 b -1/4)) 2)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 5)) 1/18)))) (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2))) (pow.f64 (+.f64 1/2 (*.f64 b -1/4)) 3)) (*.f64 b -1/48)))))))) |
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3) |
(cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) |
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3) |
(cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) |
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3) |
(cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) |
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3) |
(cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) |
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3) |
(cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) |
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3) |
(cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) |
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3) |
(cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) |
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3) |
(cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) |
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (log1p.f64 (exp.f64 a))) |
(+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) (*.f64 1/3 (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/9)))) |
(+.f64 (*.f64 (*.f64 1/3 (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/18))) (cbrt.f64 (log1p.f64 (exp.f64 a)))) |
(fma.f64 1/3 (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/18))) (cbrt.f64 (log1p.f64 (exp.f64 a)))) |
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(+.f64 (fma.f64 -1/9 (*.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 7)) 1/18))) (*.f64 (*.f64 1/3 (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/18)))) (cbrt.f64 (log1p.f64 (exp.f64 a)))) |
(+.f64 (fma.f64 1/3 (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/18))) (*.f64 (*.f64 (/.f64 (*.f64 -1/9 (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 7)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 7)) 1/18))) (cbrt.f64 (log1p.f64 (exp.f64 a)))) |
(+.f64 (fma.f64 1/3 (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/18))) (cbrt.f64 (log1p.f64 (exp.f64 a)))) (*.f64 -1/9 (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 7)) 1/18) b) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 7)) 1/18) b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3) (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 (pow.f64 1 4) 1/9)))) (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3)))) (pow.f64 b 3)))) (+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) (+.f64 (*.f64 -1/9 (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 7)) 1/9))) (*.f64 1/3 (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/9)))))) |
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (*.f64 (fma.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (pow.f64 b 3))) (+.f64 (fma.f64 -1/9 (*.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 7)) 1/18))) (*.f64 (*.f64 1/3 (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/18)))) (cbrt.f64 (log1p.f64 (exp.f64 a))))) |
(+.f64 (fma.f64 1/3 (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/18))) (*.f64 (*.f64 (/.f64 (*.f64 -1/9 (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 7)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 7)) 1/18))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (*.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) -5/27) (pow.f64 b 3))) (cbrt.f64 (log1p.f64 (exp.f64 a))))) |
(+.f64 (fma.f64 1/3 (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/18))) (*.f64 -1/9 (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 7)) 1/18) b) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 7)) 1/18) b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (*.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) -5/27) (pow.f64 b 3))) (cbrt.f64 (log1p.f64 (exp.f64 a))))) |
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 b) (log.f64 2))) |
(fma.f64 1/2 b (log.f64 2)) |
(+.f64 (*.f64 a (+.f64 (*.f64 2/3 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4)) 1/9))) (*.f64 1/3 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4)) 1/9))))) (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 b) (log.f64 2)))) |
(fma.f64 a (*.f64 (*.f64 (+.f64 1/2 (*.f64 -1/4 b)) (*.f64 (pow.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 4) 1/18))) 1) (fma.f64 1/2 b (log.f64 2))) |
(fma.f64 a (*.f64 (-.f64 1/2 (*.f64 b 1/4)) (*.f64 (pow.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 4) 1/18))) (fma.f64 1/2 b (log.f64 2))) |
(fma.f64 a (*.f64 (+.f64 1/2 (*.f64 b -1/4)) (*.f64 (pow.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 4) 1/18))) (fma.f64 1/2 b (log.f64 2))) |
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(*.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 1 1/3)) |
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(*.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 1 1/3)) |
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(*.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 1 1/3)) |
(*.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) |
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(*.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 1 1/3)) |
(*.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) |
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(*.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 1 1/3)) |
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(*.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 1 1/3)) |
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(*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)) |
(log1p.f64 (exp.f64 a)) |
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(fma.f64 b (/.f64 (*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) 1/18) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) 1/18)) (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(fma.f64 b (*.f64 (/.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) 1/18) (+.f64 1 (exp.f64 a))) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) 1/18)) (log1p.f64 (exp.f64 a))) |
(+.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)) (+.f64 (*.f64 b (+.f64 (*.f64 2/3 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4) 1) 1/9))) (*.f64 1/3 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4) 1) 1/9))))) (*.f64 (pow.f64 b 2) (+.f64 (*.f64 (pow.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 1/3) (+.f64 (*.f64 1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (*.f64 2/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/9))) (*.f64 -1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/9)))))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 b (*.f64 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) 1/18) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) 1/18))) 1) (*.f64 (*.f64 b b) (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (fma.f64 1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18))) (*.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (pow.f64 (/.f64 1 (log1p.f64 (exp.f64 a))) 1/18) (pow.f64 (/.f64 1 (log1p.f64 (exp.f64 a))) 1/18))) 1/9))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 b (/.f64 (*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) 1/18) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) 1/18)) (+.f64 1 (exp.f64 a))) (*.f64 (*.f64 b b) (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/9) (*.f64 1/9 (/.f64 (*.f64 (pow.f64 (/.f64 1 (log1p.f64 (exp.f64 a))) 1/18) (pow.f64 (/.f64 1 (log1p.f64 (exp.f64 a))) 1/18)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (*.f64 b (+.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) 1/18) (+.f64 1 (exp.f64 a))) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) 1/18)) (*.f64 (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18) (/.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) -1/9) (*.f64 (*.f64 (pow.f64 (/.f64 1 (log1p.f64 (exp.f64 a))) 1/18) (pow.f64 (/.f64 1 (log1p.f64 (exp.f64 a))) 1/18)) (/.f64 1/9 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) b)))) |
(+.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)) (+.f64 (*.f64 b (+.f64 (*.f64 2/3 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4) 1) 1/9))) (*.f64 1/3 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4) 1) 1/9))))) (+.f64 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 (pow.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 1/3) (+.f64 (*.f64 1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (*.f64 2/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/9))) (*.f64 -1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/9)))))) (*.f64 (+.f64 (*.f64 -2/27 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9)))) (+.f64 (*.f64 (pow.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 (pow.f64 1 4) 1/9)))) (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3)))))) (*.f64 -2/27 (*.f64 (/.f64 1 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (pow.f64 1 1/9))))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (+.f64 (*.f64 1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (+.f64 1 (exp.f64 a))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/9))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 (pow.f64 1 4) 1/9)))) (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3))))))))) (pow.f64 b 3))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 b (*.f64 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) 1/18) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) 1/18))) 1) (fma.f64 (*.f64 b b) (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (fma.f64 1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18))) (*.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (pow.f64 (/.f64 1 (log1p.f64 (exp.f64 a))) 1/18) (pow.f64 (/.f64 1 (log1p.f64 (exp.f64 a))) 1/18))) 1/9)) (*.f64 (pow.f64 b 3) (fma.f64 -2/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (fma.f64 -2/3 (*.f64 (fma.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (cbrt.f64 (/.f64 1 (log1p.f64 (exp.f64 a))))) (*.f64 -2/27 (/.f64 (/.f64 1 (log1p.f64 (exp.f64 a))) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (fma.f64 1/3 (/.f64 (*.f64 (fma.f64 1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18))) (*.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/18))) (+.f64 1 (exp.f64 a))) (*.f64 -1/3 (fma.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))))))))))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 b (/.f64 (*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) 1/18) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) 1/18)) (+.f64 1 (exp.f64 a))) (fma.f64 (*.f64 b b) (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/9) (*.f64 1/9 (/.f64 (*.f64 (pow.f64 (/.f64 1 (log1p.f64 (exp.f64 a))) 1/18) (pow.f64 (/.f64 1 (log1p.f64 (exp.f64 a))) 1/18)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 (pow.f64 b 3) (fma.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) -2/27 (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (fma.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 1 (log1p.f64 (exp.f64 a))))) (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) -5/27) (/.f64 -2/27 (*.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/18)) (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/9) (+.f64 1 (exp.f64 a)))) (*.f64 -1/3 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) -5/27))))))))) |
(+.f64 (fma.f64 b (*.f64 (/.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) 1/18) (+.f64 1 (exp.f64 a))) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) 1/18)) (log1p.f64 (exp.f64 a))) (*.f64 (*.f64 b b) (+.f64 (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18) (/.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) -1/9) (*.f64 (*.f64 (pow.f64 (/.f64 1 (log1p.f64 (exp.f64 a))) 1/18) (pow.f64 (/.f64 1 (log1p.f64 (exp.f64 a))) 1/18)) (/.f64 1/9 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 b (fma.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) -2/27 (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (fma.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 1 (log1p.f64 (exp.f64 a))))) (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) -5/27) (/.f64 -2/27 (*.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (fma.f64 1/3 (/.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18) (/.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (/.f64 (+.f64 1 (exp.f64 a)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/18))) -1/9)) (*.f64 -1/3 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) -5/27))))))))) |
(/.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 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 1/2 b) |
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b))) |
(fma.f64 1/2 b (*.f64 -1/4 (*.f64 b a))) |
(*.f64 b (+.f64 1/2 (*.f64 a -1/4))) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))) |
(fma.f64 1/2 b (*.f64 -1/4 (*.f64 b a))) |
(*.f64 b (+.f64 1/2 (*.f64 a -1/4))) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))) |
(fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (*.f64 -1/2 (*.f64 b 0))))) (fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (*.f64 -1/4 (*.f64 b a))))) |
(fma.f64 1/2 b (-.f64 (fma.f64 -1/4 (*.f64 b a) (*.f64 (*.f64 a a) 0)) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48))))) |
(-.f64 (*.f64 b (+.f64 1/2 (*.f64 a -1/4))) (*.f64 (pow.f64 a 3) (*.f64 b -1/48))) |
(/.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))) |
Compiled 13758 to 9240 computations (32.8% saved)
23 alts after pruning (20 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 607 | 13 | 620 |
| Fresh | 5 | 7 | 12 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 615 | 23 | 638 |
| Status | Error | Program |
|---|---|---|
| 18.9b | (exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) | |
| 32.2b | (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) | |
| 34.0b | (+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2)))) | |
| 32.2b | (log1p.f64 (exp.f64 b)) | |
| 4.0b | (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))) 3) | |
| ▶ | 2.2b | (+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) |
| ▶ | 33.9b | (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 3) |
| 26.7b | (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))) | |
| 60.5b | (*.f64 b (*.f64 b 1/8)) | |
| 32.8b | (+.f64 (log.f64 2) (/.f64 b (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))))) | |
| 4.0b | (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) 3) | |
| ✓ | 32.3b | (log1p.f64 (exp.f64 a)) |
| 32.9b | (+.f64 (*.f64 1/2 b) (log.f64 2)) | |
| 32.8b | (fma.f64 (*.f64 b b) 1/8 (+.f64 (log.f64 2) (*.f64 1/2 b))) | |
| 60.6b | (/.f64 b (+.f64 2 a)) | |
| 60.5b | (+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b))) | |
| ✓ | 30.4b | (/.f64 b (+.f64 1 (exp.f64 a))) |
| ✓ | 33.6b | (log.f64 2) |
| 4.8b | (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 3) 3) | |
| ▶ | 32.6b | (-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1) |
| ▶ | 33.1b | (log.f64 (+.f64 2 b)) |
| ▶ | 56.2b | (/.f64 b 2) |
| 33.9b | (+.f64 (*.f64 1/2 a) (log.f64 2)) |
Compiled 451 to 354 computations (21.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (exp.f64 a) 1) |
| 0.0b | (/.f64 b (+.f64 (exp.f64 a) 1)) | |
| 0.0b | (log1p.f64 (exp.f64 a)) | |
| ✓ | 0.1b | (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) |
Compiled 47 to 25 computations (46.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | b | @ | 0 | (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) |
| 0.0ms | b | @ | -inf | (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) |
| 0.0ms | a | @ | 0 | (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) |
| 0.0ms | b | @ | inf | (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) |
| 0.0ms | a | @ | inf | (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) |
| 1× | batch-egg-rewrite |
| 830× | pow1_binary64 |
| 770× | expm1-log1p-u_binary64 |
| 769× | add-log-exp_binary64 |
| 769× | log1p-expm1-u_binary64 |
| 752× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 15 |
| 1 | 165 | 15 |
| 2 | 2128 | 15 |
| 1× | node limit |
| Inputs |
|---|
(expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) |
(+.f64 (exp.f64 a) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (neg.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 b (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 b (sqrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (fma.f64 (exp.f64 a) (exp.f64 a) -1)) (expm1.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 a) 1) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 b) (/.f64 (+.f64 (exp.f64 a) 1) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b) (neg.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (+.f64 (exp.f64 a) 1) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (sqrt.f64 (+.f64 (exp.f64 a) 1))) (sqrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 3) 1) (+.f64 (*.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) (+.f64 1 (*.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) 1) (+.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b 1) (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (neg.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 (exp.f64 a) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(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 -.f64 (+.f64 1 (+.f64 (exp.f64 a) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (expm1.f64 a)) (/.f64 1 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (exp.f64 a) (exp.f64 a) -1) (/.f64 1 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (expm1.f64 a) (fma.f64 (exp.f64 a) (exp.f64 a) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (exp.f64 a) (exp.f64 a) -1) (expm1.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) -1)) (neg.f64 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.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 fma.f64 1 (exp.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (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))))) |
| 1× | egg-herbie |
| 562× | cancel-sign-sub-inv_binary64 |
| 514× | associate-+l+_binary64 |
| 510× | fma-neg_binary64 |
| 313× | associate-+r+_binary64 |
| 304× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 338 |
| 1 | 138 | 319 |
| 2 | 533 | 302 |
| 3 | 2531 | 299 |
| 1× | node limit |
| Inputs |
|---|
(/.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 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 1/2 b) |
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b))) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))) |
(/.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))) |
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))))) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (exp.f64 a)) |
| Outputs |
|---|
(/.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 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 1/2 b) |
(*.f64 b 1/2) |
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b))) |
(fma.f64 1/2 b (*.f64 -1/4 (*.f64 b a))) |
(*.f64 b (+.f64 1/2 (*.f64 a -1/4))) |
(*.f64 b (fma.f64 a -1/4 1/2)) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))) |
(fma.f64 1/2 b (*.f64 -1/4 (*.f64 b a))) |
(*.f64 b (+.f64 1/2 (*.f64 a -1/4))) |
(*.f64 b (fma.f64 a -1/4 1/2)) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))) |
(fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (*.f64 -1/4 (*.f64 b a))))) |
(fma.f64 b 1/2 (-.f64 (fma.f64 -1/4 (*.f64 b a) (*.f64 a (*.f64 a 0))) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48))))) |
(fma.f64 (pow.f64 a 3) (neg.f64 (*.f64 b -1/48)) (*.f64 b (fma.f64 a -1/4 1/2))) |
(*.f64 b (-.f64 (fma.f64 a -1/4 1/2) (*.f64 (pow.f64 a 3) -1/48))) |
(/.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))) |
2 |
(+.f64 2 a) |
(+.f64 a 2) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) |
(fma.f64 1/2 (*.f64 a a) (+.f64 a 2)) |
(+.f64 a (fma.f64 a (*.f64 a 1/2) 2)) |
(+.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 a) (fma.f64 a (*.f64 a 1/2) 2)) |
(+.f64 2 (fma.f64 a (*.f64 a 1/2) (fma.f64 (pow.f64 a 3) 1/6 a))) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (exp.f64 a)) |
Compiled 7 to 5 computations (28.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (log.f64 (+.f64 2 b)) |
Compiled 11 to 8 computations (27.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | b | @ | -inf | (log.f64 (+.f64 2 b)) |
| 0.0ms | b | @ | 0 | (log.f64 (+.f64 2 b)) |
| 0.0ms | b | @ | inf | (log.f64 (+.f64 2 b)) |
| 1× | batch-egg-rewrite |
| 547× | pow1_binary64 |
| 513× | add-log-exp_binary64 |
| 512× | log1p-expm1-u_binary64 |
| 512× | expm1-log1p-u_binary64 |
| 505× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 6 |
| 1 | 108 | 6 |
| 2 | 1340 | 6 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 2 b)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (log.f64 (cbrt.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 2 b))) (log.f64 (sqrt.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 4 (*.f64 b b))) (log.f64 (-.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 8 (pow.f64 b 3))) (log.f64 (+.f64 4 (*.f64 b (-.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 2 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 2) (cbrt.f64 (log.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 2 b))) (sqrt.f64 (log.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 2 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 2 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 2 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 2 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 2 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 2 b)))))))) |
| 1× | egg-herbie |
| 511× | associate-*l*_binary64 |
| 499× | fma-def_binary64 |
| 482× | fma-neg_binary64 |
| 385× | cancel-sign-sub-inv_binary64 |
| 344× | associate--l-_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 189 |
| 1 | 139 | 159 |
| 2 | 347 | 159 |
| 3 | 1025 | 153 |
| 4 | 2981 | 153 |
| 5 | 7960 | 153 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 2) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (+.f64 (log.f64 2) (*.f64 -1/8 (pow.f64 b 2)))) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/24 (pow.f64 b 3)) (+.f64 (log.f64 2) (*.f64 -1/8 (pow.f64 b 2))))) |
(*.f64 -1 (log.f64 (/.f64 1 b))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (*.f64 2 (/.f64 1 b))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (*.f64 -1 (log.f64 (/.f64 1 b)))) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (*.f64 8/3 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 b)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 2 (/.f64 1 b)) (log.f64 -1))) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (log.f64 -1) (*.f64 8/3 (/.f64 1 (pow.f64 b 3)))))) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
| Outputs |
|---|
(log.f64 2) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(fma.f64 1/2 b (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (+.f64 (log.f64 2) (*.f64 -1/8 (pow.f64 b 2)))) |
(+.f64 (fma.f64 1/2 b (log.f64 2)) (*.f64 -1/8 (*.f64 b b))) |
(fma.f64 1/2 b (fma.f64 -1/8 (*.f64 b b) (log.f64 2))) |
(fma.f64 1/2 b (fma.f64 b (*.f64 b -1/8) (log.f64 2))) |
(fma.f64 b (fma.f64 b -1/8 1/2) (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/24 (pow.f64 b 3)) (+.f64 (log.f64 2) (*.f64 -1/8 (pow.f64 b 2))))) |
(fma.f64 1/2 b (fma.f64 1/24 (pow.f64 b 3) (+.f64 (log.f64 2) (*.f64 -1/8 (*.f64 b b))))) |
(fma.f64 1/2 b (fma.f64 1/24 (pow.f64 b 3) (fma.f64 -1/8 (*.f64 b b) (log.f64 2)))) |
(fma.f64 1/2 b (fma.f64 1/24 (pow.f64 b 3) (fma.f64 b (*.f64 b -1/8) (log.f64 2)))) |
(fma.f64 1/2 b (fma.f64 b (*.f64 b (fma.f64 b 1/24 -1/8)) (log.f64 2))) |
(*.f64 -1 (log.f64 (/.f64 1 b))) |
(neg.f64 (neg.f64 (log.f64 b))) |
(log.f64 b) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (*.f64 2 (/.f64 1 b))) |
(fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b)) |
(+.f64 (log.f64 b) (/.f64 2 b)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (*.f64 -1 (log.f64 (/.f64 1 b)))) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 2 (*.f64 b b))) |
(+.f64 (log.f64 b) (-.f64 (/.f64 2 b) (/.f64 2 (*.f64 b b)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (*.f64 8/3 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(+.f64 (/.f64 2 b) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 8/3 (pow.f64 b 3))) (/.f64 2 (*.f64 b b)))) |
(+.f64 (/.f64 2 b) (+.f64 (/.f64 8/3 (pow.f64 b 3)) (-.f64 (log.f64 b) (/.f64 2 (*.f64 b b))))) |
(+.f64 (log.f64 b) (-.f64 (+.f64 (/.f64 2 b) (/.f64 8/3 (pow.f64 b 3))) (/.f64 2 (*.f64 b b)))) |
(+.f64 (log.f64 b) (+.f64 (/.f64 8/3 (pow.f64 b 3)) (-.f64 (/.f64 2 b) (/.f64 2 (*.f64 b b))))) |
(+.f64 (log.f64 b) (+.f64 (/.f64 2 b) (-.f64 (/.f64 8/3 (pow.f64 b 3)) (/.f64 2 (*.f64 b b))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) |
(neg.f64 (neg.f64 (log.f64 b))) |
(log.f64 b) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 b)))) |
(fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b)) |
(+.f64 (log.f64 b) (/.f64 2 b)) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 2 (/.f64 1 b)) (log.f64 -1))) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 2 (*.f64 b b))) |
(+.f64 (log.f64 b) (-.f64 (/.f64 2 b) (/.f64 2 (*.f64 b b)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (log.f64 -1) (*.f64 8/3 (/.f64 1 (pow.f64 b 3)))))) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(+.f64 (/.f64 2 b) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 8/3 (pow.f64 b 3))) (/.f64 2 (*.f64 b b)))) |
(+.f64 (/.f64 2 b) (+.f64 (/.f64 8/3 (pow.f64 b 3)) (-.f64 (log.f64 b) (/.f64 2 (*.f64 b b))))) |
(+.f64 (log.f64 b) (-.f64 (+.f64 (/.f64 2 b) (/.f64 8/3 (pow.f64 b 3))) (/.f64 2 (*.f64 b b)))) |
(+.f64 (log.f64 b) (+.f64 (/.f64 8/3 (pow.f64 b 3)) (-.f64 (/.f64 2 b) (/.f64 2 (*.f64 b b))))) |
(+.f64 (log.f64 b) (+.f64 (/.f64 2 b) (-.f64 (/.f64 8/3 (pow.f64 b 3)) (/.f64 2 (*.f64 b b))))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (log1p.f64 (exp.f64 b))) |
| ✓ | 1.0b | (-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1) |
| ✓ | 1.5b | (log1p.f64 (exp.f64 b)) |
Compiled 21 to 11 computations (47.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | b | @ | inf | (log1p.f64 (exp.f64 b)) |
| 0.0ms | b | @ | 0 | (log1p.f64 (exp.f64 b)) |
| 0.0ms | b | @ | -inf | (log1p.f64 (exp.f64 b)) |
| 0.0ms | b | @ | 0 | (+.f64 1 (log1p.f64 (exp.f64 b))) |
| 0.0ms | b | @ | 0 | (-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1) |
| 1× | batch-egg-rewrite |
| 694× | pow1_binary64 |
| 648× | add-log-exp_binary64 |
| 648× | expm1-log1p-u_binary64 |
| 647× | log1p-expm1-u_binary64 |
| 636× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 18 |
| 1 | 149 | 18 |
| 2 | 2032 | 18 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 (exp.f64 b)) |
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1) |
(+.f64 1 (log1p.f64 (exp.f64 b))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (log1p.f64 (exp.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 3) (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) -1) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) 1) (-.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2)) (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 b)) 2) (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) (-.f64 1 (*.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) -1) (+.f64 (log1p.f64 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) -1) (-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) -1)) (neg.f64 (+.f64 (log1p.f64 (exp.f64 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1) (+.f64 (log1p.f64 (exp.f64 b)) -1)) (+.f64 (log1p.f64 (exp.f64 b)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1) (+.f64 (log1p.f64 (exp.f64 b)) -1))) (-.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (log1p.f64 (exp.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) -1) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) 1) (-.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2)) (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 b)) 2) (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) (-.f64 1 (*.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) -1) (+.f64 (log1p.f64 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) -1) (-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2) -1)) (neg.f64 (+.f64 (log1p.f64 (exp.f64 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1) (+.f64 (log1p.f64 (exp.f64 b)) -1)) (+.f64 (log1p.f64 (exp.f64 b)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1) (+.f64 (log1p.f64 (exp.f64 b)) -1))) (-.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log1p.f64 (exp.f64 b)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 b)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (-.f64 1 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) (*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (log1p.f64 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (log1p.f64 (exp.f64 b)))) (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (log1p.f64 (exp.f64 b))) (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (-.f64 1 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (-.f64 1 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (log1p.f64 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 2))) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) 1) (+.f64 (log1p.f64 (exp.f64 b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) 1) (-.f64 1 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (E.f64) (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))) 1))))) |
| 1× | egg-herbie |
| 832× | fma-def_binary64 |
| 583× | associate-/l/_binary64 |
| 568× | associate-/r/_binary64 |
| 470× | associate-*l*_binary64 |
| 420× | associate-/l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 297 |
| 1 | 75 | 291 |
| 2 | 169 | 291 |
| 3 | 433 | 273 |
| 4 | 1097 | 273 |
| 5 | 2926 | 273 |
| 6 | 4298 | 273 |
| 7 | 4737 | 273 |
| 8 | 5633 | 273 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 2) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2))) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4))))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log.f64 2) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2))) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4))))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(+.f64 1 (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) |
(+.f64 (*.f64 1/2 b) (+.f64 1 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2)))) |
(+.f64 (*.f64 1/2 b) (+.f64 1 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))) |
| Outputs |
|---|
(log.f64 2) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(fma.f64 1/2 b (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2))) |
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2))) |
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2))) |
(fma.f64 b (fma.f64 b 1/8 1/2) (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4))))) |
(fma.f64 1/2 b (+.f64 (fma.f64 1/8 (*.f64 b b) (log.f64 2)) (*.f64 -1/192 (pow.f64 b 4)))) |
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2)))) |
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2)))) |
(fma.f64 b (fma.f64 b 1/8 1/2) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(log.f64 2) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(fma.f64 1/2 b (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2))) |
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2))) |
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2))) |
(fma.f64 b (fma.f64 b 1/8 1/2) (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4))))) |
(fma.f64 1/2 b (+.f64 (fma.f64 1/8 (*.f64 b b) (log.f64 2)) (*.f64 -1/192 (pow.f64 b 4)))) |
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2)))) |
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2)))) |
(fma.f64 b (fma.f64 b 1/8 1/2) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(+.f64 1 (log.f64 2)) |
(+.f64 (log.f64 2) 1) |
(+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) |
(fma.f64 1/2 b (+.f64 (log.f64 2) 1)) |
(+.f64 (log.f64 2) (fma.f64 1/2 b 1)) |
(+.f64 (*.f64 1/2 b) (+.f64 1 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2)))) |
(fma.f64 1/2 b (+.f64 (fma.f64 1/8 (*.f64 b b) (log.f64 2)) 1)) |
(+.f64 (fma.f64 1/8 (*.f64 b b) (log.f64 2)) (fma.f64 1/2 b 1)) |
(+.f64 (log.f64 2) (fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) 1))) |
(+.f64 (log.f64 2) (fma.f64 b (fma.f64 b 1/8 1/2) 1)) |
(+.f64 (*.f64 1/2 b) (+.f64 1 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))) |
(fma.f64 1/2 b (+.f64 (+.f64 (fma.f64 1/8 (*.f64 b b) (log.f64 2)) (*.f64 -1/192 (pow.f64 b 4))) 1)) |
(+.f64 (fma.f64 1/8 (*.f64 b b) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))) (fma.f64 1/2 b 1)) |
(+.f64 (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2)) (fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) 1))) |
(+.f64 (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2)) (fma.f64 b (fma.f64 b 1/8 1/2) 1)) |
(+.f64 (log.f64 2) (fma.f64 b (fma.f64 b 1/8 1/2) (fma.f64 -1/192 (pow.f64 b 4) 1))) |
(+.f64 (fma.f64 b (fma.f64 b 1/8 1/2) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))) 1) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (log1p.f64 (exp.f64 b))) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (log1p.f64 (exp.f64 b))) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (log1p.f64 (exp.f64 b))) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (log1p.f64 (exp.f64 b))) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (log1p.f64 (exp.f64 b))) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (log1p.f64 (exp.f64 b))) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (log1p.f64 (exp.f64 b))) |
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (log1p.f64 (exp.f64 b))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 1/2 b (log.f64 2)) |
| ✓ | 1.0b | (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 3) |
| ✓ | 1.5b | (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) |
Compiled 27 to 23 computations (14.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | b | @ | 0 | (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 3) |
| 2.0ms | b | @ | 0 | (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) |
| 1.0ms | b | @ | inf | (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 3) |
| 1.0ms | b | @ | -inf | (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 3) |
| 1.0ms | b | @ | -inf | (fma.f64 1/2 b (log.f64 2)) |
| 1× | batch-egg-rewrite |
| 643× | pow1_binary64 |
| 606× | add-log-exp_binary64 |
| 604× | log1p-expm1-u_binary64 |
| 604× | expm1-log1p-u_binary64 |
| 593× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 186 | 23 |
| 2 | 1732 | 23 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (fma.f64 1/2 b (log.f64 2))) |
(pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 3) |
(fma.f64 1/2 b (log.f64 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (fma.f64 1/2 b (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2)))) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2)))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 1/6) (pow.f64 (fma.f64 1/2 b (log.f64 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) 1/3) (pow.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 b (log.f64 2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 b) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 b) 1) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/2 b (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 b (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 b (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) (sqrt.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 1/6) (*.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 1/6) (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2)))) 2) 3) (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2) 1) (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2)))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2) (pow.f64 (fma.f64 1/2 b (log.f64 2)) 1/6)) (pow.f64 (fma.f64 1/2 b (log.f64 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/2 b) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 1/2 b) (*.f64 1/2 b)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 b) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/2 b) (*.f64 1/2 b)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 1/2 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 b (log.f64 2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 b) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 b) 1) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/2 b (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 b (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 b (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) (sqrt.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 1/6) (*.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 1/6) (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2)))) 2) 3) (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2) 1) (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2)))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2) (pow.f64 (fma.f64 1/2 b (log.f64 2)) 1/6)) (pow.f64 (fma.f64 1/2 b (log.f64 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/2 b) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 1/2 b) (*.f64 1/2 b)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 b) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/2 b) (*.f64 1/2 b)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 b (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 1/2 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 b (log.f64 2)))))))) |
| 1× | egg-herbie |
| 902× | distribute-rgt-in_binary64 |
| 894× | distribute-lft-in_binary64 |
| 628× | fma-def_binary64 |
| 479× | *-commutative_binary64 |
| 440× | +-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 718 |
| 1 | 321 | 659 |
| 2 | 1123 | 649 |
| 3 | 4042 | 648 |
| 4 | 7859 | 648 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (log.f64 2) 1/3) |
(+.f64 (pow.f64 (log.f64 2) 1/3) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) b))) |
(+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (pow.f64 b 2))) (+.f64 (pow.f64 (log.f64 2) 1/3) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) b)))) |
(+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (pow.f64 b 2))) (+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) b)) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (*.f64 (pow.f64 b 3) (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))))))) |
(*.f64 (pow.f64 1 1/3) (log.f64 2)) |
(+.f64 (*.f64 (pow.f64 1 1/3) (log.f64 2)) (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/6 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) b)) |
(+.f64 (*.f64 (pow.f64 1 1/3) (log.f64 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/6 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) b) (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)))) (+.f64 (*.f64 1/18 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (*.f64 -1/36 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)))) (pow.f64 b 2)))) |
(+.f64 (*.f64 (pow.f64 1 1/3) (log.f64 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/6 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) b) (+.f64 (*.f64 (pow.f64 b 3) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))) (*.f64 -1/108 (*.f64 (pow.f64 1 1/9) (/.f64 1 (log.f64 2)))))) (*.f64 -1/108 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))))) (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)))) (+.f64 (*.f64 1/18 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (*.f64 -1/36 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)))) (pow.f64 b 2))))) |
(log.f64 2) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(*.f64 1/2 b) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(*.f64 1/2 b) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
| 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 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) b))) |
(+.f64 (*.f64 1/6 (*.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)) b)) (cbrt.f64 (log.f64 2))) |
(fma.f64 1/6 (*.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)) b) (cbrt.f64 (log.f64 2))) |
(fma.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 b) (cbrt.f64 (log.f64 2))) |
(+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (pow.f64 b 2))) (+.f64 (pow.f64 (log.f64 2) 1/3) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) b)))) |
(fma.f64 -1/36 (*.f64 (*.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 b b)) (+.f64 (*.f64 1/6 (*.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)) b)) (cbrt.f64 (log.f64 2)))) |
(fma.f64 -1/36 (*.f64 (*.f64 (*.f64 b b) (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 1/6 (*.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)) b) (cbrt.f64 (log.f64 2)))) |
(fma.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 b) (fma.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (*.f64 (*.f64 b b) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18))) (cbrt.f64 (log.f64 2)))) |
(fma.f64 1/6 (*.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)) b) (fma.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (*.f64 (*.f64 b b) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18))) (cbrt.f64 (log.f64 2)))) |
(+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (pow.f64 b 2))) (+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) b)) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (*.f64 (pow.f64 b 3) (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))))))) |
(fma.f64 -1/36 (*.f64 (*.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 b b)) (+.f64 (fma.f64 1/6 (*.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)) b) (*.f64 -1/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 b 3)) (+.f64 (*.f64 -1/36 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216))))) (cbrt.f64 (log.f64 2)))) |
(+.f64 (fma.f64 -1/36 (*.f64 (*.f64 (*.f64 b b) (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 1/6 (*.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)) b) (cbrt.f64 (log.f64 2)))) (*.f64 -1/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) -5/216) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 b 3))))) |
(fma.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (*.f64 (*.f64 b b) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18))) (fma.f64 1/6 (*.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)) b) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (*.f64 (pow.f64 b 3) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) -5/216))) (cbrt.f64 (log.f64 2))))) |
(fma.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (*.f64 (*.f64 b b) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18))) (fma.f64 1/6 (*.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)) b) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (*.f64 (pow.f64 b 3) -5/216))) (cbrt.f64 (log.f64 2))))) |
(*.f64 (pow.f64 1 1/3) (log.f64 2)) |
(log.f64 2) |
(+.f64 (*.f64 (pow.f64 1 1/3) (log.f64 2)) (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/6 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) b)) |
(+.f64 (log.f64 2) (*.f64 b (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) 1/2))) |
(fma.f64 b (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) 1/2) (log.f64 2)) |
(fma.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) (*.f64 b 1/2) (log.f64 2)) |
(+.f64 (*.f64 (pow.f64 1 1/3) (log.f64 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/6 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) b) (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)))) (+.f64 (*.f64 1/18 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (*.f64 -1/36 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)))) (pow.f64 b 2)))) |
(+.f64 (log.f64 2) (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) 1/2) b (*.f64 (*.f64 b b) (fma.f64 (cbrt.f64 (log.f64 2)) (*.f64 (*.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)) -1/36) (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) 1/36))))) |
(+.f64 (log.f64 2) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) 1/36 (*.f64 (*.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 -1/36 (cbrt.f64 (log.f64 2))))) (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) (*.f64 b 1/2)))) |
(fma.f64 b (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) 1/2) (fma.f64 b (*.f64 b (fma.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (*.f64 (cbrt.f64 (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)))))) (log.f64 2))) |
(fma.f64 b (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) 1/2) (fma.f64 b (*.f64 b (fma.f64 (cbrt.f64 (log.f64 2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (*.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18))) (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (*.f64 1/36 (pow.f64 (/.f64 1 (log.f64 2)) 1/18))))) (log.f64 2))) |
(+.f64 (*.f64 (pow.f64 1 1/3) (log.f64 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/6 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) b) (+.f64 (*.f64 (pow.f64 b 3) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))) (*.f64 -1/108 (*.f64 (pow.f64 1 1/9) (/.f64 1 (log.f64 2)))))) (*.f64 -1/108 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))))) (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)))) (+.f64 (*.f64 1/18 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (*.f64 -1/36 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)))) (pow.f64 b 2))))) |
(+.f64 (log.f64 2) (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) 1/2) b (fma.f64 (pow.f64 b 3) (fma.f64 1/6 (*.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 (*.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)) -1/36)) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 -1/36 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216))) (fma.f64 (cbrt.f64 (log.f64 2)) (fma.f64 -2/3 (*.f64 (+.f64 (*.f64 -1/36 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216)) (cbrt.f64 (/.f64 1 (log.f64 2)))) (*.f64 (/.f64 1 (log.f64 2)) -1/108)) (*.f64 -1/108 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))))))) (*.f64 (*.f64 b b) (fma.f64 (cbrt.f64 (log.f64 2)) (*.f64 (*.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)) -1/36) (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) 1/36)))))) |
(+.f64 (fma.f64 b (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) 1/2) (log.f64 2)) (fma.f64 (pow.f64 b 3) (fma.f64 1/6 (*.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 -1/36 (*.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)))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) -5/216) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) -1/108 (*.f64 (cbrt.f64 (log.f64 2)) (fma.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 1 (log.f64 2)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) -5/216) (/.f64 -1/108 (log.f64 2))))))) (*.f64 (*.f64 b b) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) 1/36 (*.f64 (*.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 -1/36 (cbrt.f64 (log.f64 2)))))))) |
(+.f64 (log.f64 2) (fma.f64 b (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) 1/2) (*.f64 (*.f64 b b) (+.f64 (fma.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (*.f64 (cbrt.f64 (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 b (fma.f64 1/6 (*.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 -1/36 (*.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 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) -5/216) (+.f64 -1/3 (*.f64 (cbrt.f64 (log.f64 2)) (*.f64 -2/3 (cbrt.f64 (/.f64 1 (log.f64 2))))))) (fma.f64 (cbrt.f64 (log.f64 2)) (/.f64 -1/108 (log.f64 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) -1/108))))))))) |
(+.f64 (log.f64 2) (fma.f64 (pow.f64 b 3) (fma.f64 1/6 (*.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 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (*.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18)))) (+.f64 (*.f64 -1/108 (+.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (/.f64 (cbrt.f64 (log.f64 2)) (log.f64 2)))) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) -5/216) (+.f64 -1/3 (*.f64 (cbrt.f64 (log.f64 2)) (*.f64 -2/3 (cbrt.f64 (/.f64 1 (log.f64 2))))))))) (*.f64 b (+.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) 1/2) (*.f64 b (fma.f64 (cbrt.f64 (log.f64 2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (*.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18))) (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (*.f64 1/36 (pow.f64 (/.f64 1 (log.f64 2)) 1/18))))))))) |
(log.f64 2) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(fma.f64 1/2 b (log.f64 2)) |
(fma.f64 b 1/2 (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(fma.f64 1/2 b (log.f64 2)) |
(fma.f64 b 1/2 (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(fma.f64 1/2 b (log.f64 2)) |
(fma.f64 b 1/2 (log.f64 2)) |
(*.f64 1/2 b) |
(*.f64 b 1/2) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(fma.f64 1/2 b (log.f64 2)) |
(fma.f64 b 1/2 (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(fma.f64 1/2 b (log.f64 2)) |
(fma.f64 b 1/2 (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(fma.f64 1/2 b (log.f64 2)) |
(fma.f64 b 1/2 (log.f64 2)) |
(*.f64 1/2 b) |
(*.f64 b 1/2) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(fma.f64 1/2 b (log.f64 2)) |
(fma.f64 b 1/2 (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(fma.f64 1/2 b (log.f64 2)) |
(fma.f64 b 1/2 (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(fma.f64 1/2 b (log.f64 2)) |
(fma.f64 b 1/2 (log.f64 2)) |
Compiled 6557 to 4573 computations (30.3% saved)
23 alts after pruning (18 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 375 | 8 | 383 |
| Fresh | 5 | 10 | 15 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 5 | 7 |
| Total | 383 | 23 | 406 |
| Status | Error | Program |
|---|---|---|
| 27.6b | (+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b 2)))) | |
| 33.0b | (exp.f64 (log.f64 (fma.f64 1/2 b (log.f64 2)))) | |
| 32.2b | (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) | |
| 34.0b | (+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2)))) | |
| 32.2b | (log1p.f64 (exp.f64 b)) | |
| ✓ | 32.3b | (log1p.f64 (exp.f64 a)) |
| 32.9b | (+.f64 (*.f64 1/2 b) (log.f64 2)) | |
| 33.9b | (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))) 3) | |
| 26.7b | (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))) | |
| ✓ | 56.2b | (/.f64 b 2) |
| 32.8b | (fma.f64 (*.f64 b b) 1/8 (+.f64 (log.f64 2) (*.f64 1/2 b))) | |
| 60.6b | (/.f64 b (+.f64 2 a)) | |
| 60.5b | (+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b))) | |
| ✓ | 30.4b | (/.f64 b (+.f64 1 (exp.f64 a))) |
| 33.9b | (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))) 3) | |
| ✓ | 33.6b | (log.f64 2) |
| 34.5b | (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2)))) 3) 3) | |
| ✓ | 33.1b | (log.f64 (+.f64 2 b)) |
| 60.5b | (*.f64 b (*.f64 b 1/8)) | |
| 32.8b | (+.f64 (log.f64 2) (/.f64 b (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))))) | |
| 33.5b | (-.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1) | |
| 33.4b | (-.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) 1) | |
| 33.9b | (+.f64 (*.f64 1/2 a) (log.f64 2)) |
Compiled 213 to 177 computations (16.9% saved)
| Inputs |
|---|
(/.f64 b 2) |
(*.f64 b (*.f64 b 1/8)) |
(/.f64 b (+.f64 2 a)) |
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b))) |
(log.f64 2) |
(log.f64 (+.f64 2 b)) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(+.f64 (*.f64 1/2 a) (log.f64 2)) |
(-.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1) |
(-.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) 1) |
(log1p.f64 (exp.f64 b)) |
(log1p.f64 (exp.f64 a)) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1) |
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) |
(fma.f64 (*.f64 b b) 1/8 (+.f64 (log.f64 2) (*.f64 1/2 b))) |
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2)))) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))) 3) |
(-.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) |
(exp.f64 (log.f64 (fma.f64 1/2 b (log.f64 2)))) |
(pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 3) |
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b 2)))) |
(+.f64 (log.f64 2) (/.f64 b (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))))) |
(log.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) |
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) |
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) |
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3) |
(pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))) 3) |
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))) |
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2)))) 3) 3) |
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))) |
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))) 3) |
(pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) 3) |
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 3) 3) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (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))))))) |
| Outputs |
|---|
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
9 calls:
| 27.0ms | b |
| 26.0ms | a |
| 11.0ms | (exp.f64 a) |
| 6.0ms | (exp.f64 b) |
| 6.0ms | (exp.f64 b) |
| Error | Segments | Branch |
|---|---|---|
| 1.7b | 1 | a |
| 1.7b | 1 | b |
| 1.7b | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1.7b | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1.7b | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 1.7b | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 1.7b | 1 | (exp.f64 a) |
| 1.7b | 1 | (exp.f64 b) |
| 1.7b | 1 | (exp.f64 b) |
Compiled 487 to 286 computations (41.3% saved)
| Inputs |
|---|
(/.f64 b 2) |
(*.f64 b (*.f64 b 1/8)) |
(/.f64 b (+.f64 2 a)) |
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b))) |
(log.f64 2) |
(log.f64 (+.f64 2 b)) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(+.f64 (*.f64 1/2 a) (log.f64 2)) |
(-.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1) |
(-.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) 1) |
(log1p.f64 (exp.f64 b)) |
(log1p.f64 (exp.f64 a)) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1) |
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) |
(fma.f64 (*.f64 b b) 1/8 (+.f64 (log.f64 2) (*.f64 1/2 b))) |
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2)))) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))) 3) |
(-.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) |
| Outputs |
|---|
(/.f64 b (+.f64 1 (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
9 calls:
| 104.0ms | b |
| 27.0ms | a |
| 7.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 6.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 6.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| Error | Segments | Branch |
|---|---|---|
| 1.1b | 2 | a |
| 17.1b | 10 | b |
| 1.6b | 2 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1.6b | 2 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1.6b | 2 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 1.6b | 2 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 1.1b | 2 | (exp.f64 a) |
| 28.8b | 2 | (exp.f64 b) |
| 28.8b | 2 | (exp.f64 b) |
Compiled 205 to 147 computations (28.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.4931014449455114e-123 | 1.0489741303499435e-7 |
Compiled 13 to 10 computations (23.1% saved)
| Inputs |
|---|
(/.f64 b 2) |
(*.f64 b (*.f64 b 1/8)) |
(/.f64 b (+.f64 2 a)) |
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b))) |
(log.f64 2) |
(log.f64 (+.f64 2 b)) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(+.f64 (*.f64 1/2 a) (log.f64 2)) |
(-.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1) |
(-.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) 1) |
(log1p.f64 (exp.f64 b)) |
(log1p.f64 (exp.f64 a)) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1) |
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) |
(fma.f64 (*.f64 b b) 1/8 (+.f64 (log.f64 2) (*.f64 1/2 b))) |
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2)))) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2))) |
| Outputs |
|---|
(/.f64 b (+.f64 1 (exp.f64 a))) |
(log1p.f64 (exp.f64 b)) |
5 calls:
| 87.0ms | b |
| 21.0ms | a |
| 5.0ms | (exp.f64 b) |
| 5.0ms | (exp.f64 b) |
| 4.0ms | (exp.f64 a) |
| Error | Segments | Branch |
|---|---|---|
| 1.8b | 2 | a |
| 17.4b | 10 | b |
| 1.8b | 2 | (exp.f64 a) |
| 29.1b | 2 | (exp.f64 b) |
| 29.1b | 2 | (exp.f64 b) |
Compiled 150 to 111 computations (26% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.4931014449455114e-123 | 1.0489741303499435e-7 |
Compiled 13 to 10 computations (23.1% saved)
| Inputs |
|---|
(/.f64 b 2) |
(*.f64 b (*.f64 b 1/8)) |
(/.f64 b (+.f64 2 a)) |
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b))) |
(log.f64 2) |
(log.f64 (+.f64 2 b)) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(+.f64 (*.f64 1/2 a) (log.f64 2)) |
(-.f64 (+.f64 1 (log.f64 (+.f64 2 b))) 1) |
(-.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) 1) |
| Outputs |
|---|
(/.f64 b (+.f64 1 (exp.f64 a))) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
3 calls:
| 36.0ms | b |
| 14.0ms | a |
| 5.0ms | (exp.f64 a) |
| Error | Segments | Branch |
|---|---|---|
| 2.5b | 2 | a |
| 20.4b | 6 | b |
| 2.5b | 2 | (exp.f64 a) |
Compiled 82 to 63 computations (23.2% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 27.0ms | -282.81711097496895 | -16.070282983097115 |
Compiled 13 to 10 computations (23.1% saved)
| Inputs |
|---|
(/.f64 b 2) |
(*.f64 b (*.f64 b 1/8)) |
(/.f64 b (+.f64 2 a)) |
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b))) |
(log.f64 2) |
(log.f64 (+.f64 2 b)) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
| Outputs |
|---|
(/.f64 b 2) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
2 calls:
| 10.0ms | a |
| 6.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 28.3b | 2 | a |
| 32.9b | 1 | b |
Compiled 48 to 35 computations (27.1% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 27.0ms | -282.81711097496895 | -16.070282983097115 |
Compiled 13 to 10 computations (23.1% saved)
| Inputs |
|---|
(/.f64 b 2) |
(*.f64 b (*.f64 b 1/8)) |
(/.f64 b (+.f64 2 a)) |
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b))) |
(log.f64 2) |
(log.f64 (+.f64 2 b)) |
| Outputs |
|---|
(/.f64 b 2) |
(log.f64 (+.f64 2 b)) |
2 calls:
| 10.0ms | a |
| 5.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 28.4b | 2 | a |
| 33.1b | 1 | b |
Compiled 36 to 25 computations (30.6% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 27.0ms | -282.81711097496895 | -16.070282983097115 |
Compiled 13 to 10 computations (23.1% saved)
| Inputs |
|---|
(/.f64 b 2) |
(*.f64 b (*.f64 b 1/8)) |
(/.f64 b (+.f64 2 a)) |
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b))) |
(log.f64 2) |
| Outputs |
|---|
(/.f64 b 2) |
(log.f64 2) |
2 calls:
| 20.0ms | a |
| 10.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 28.9b | 2 | a |
| 33.6b | 1 | b |
Compiled 32 to 22 computations (31.3% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 50.0ms | -282.81711097496895 | -16.070282983097115 |
Compiled 13 to 10 computations (23.1% saved)
Total -5.2b remaining (-9.2%)
Threshold costs -5.2b (-9.2%)
| Inputs |
|---|
(/.f64 b 2) |
(*.f64 b (*.f64 b 1/8)) |
(/.f64 b (+.f64 2 a)) |
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b))) |
| Outputs |
|---|
(/.f64 b 2) |
2 calls:
| 10.0ms | b |
| 4.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 56.2b | 1 | a |
| 56.2b | 1 | b |
Compiled 30 to 20 computations (33.3% saved)
| 1× | egg-herbie |
| 5× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 141 |
| 1 | 40 | 141 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(if (<=.f64 (exp.f64 a) 1488565707357403/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) |
(if (<=.f64 (exp.f64 a) 1488565707357403/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 b))) |
(if (<=.f64 a -1243842808203975/4398046511104) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 b) (log.f64 2))) |
(if (<=.f64 a -1243842808203975/4398046511104) (/.f64 b 2) (+.f64 (*.f64 1/2 b) (log.f64 2))) |
(if (<=.f64 a -1243842808203975/4398046511104) (/.f64 b 2) (log.f64 (+.f64 2 b))) |
(if (<=.f64 a -1243842808203975/4398046511104) (/.f64 b 2) (log.f64 2)) |
(/.f64 b 2) |
| 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))) |
(if (<=.f64 (exp.f64 a) 1488565707357403/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) |
(if (<=.f64 (exp.f64 a) 1488565707357403/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) |
(if (<=.f64 (exp.f64 a) 1488565707357403/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 b))) |
(if (<=.f64 (exp.f64 a) 1488565707357403/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 b))) |
(if (<=.f64 a -1243842808203975/4398046511104) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 b) (log.f64 2))) |
(if (<=.f64 a -1243842808203975/4398046511104) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (*.f64 b 1/2) (log.f64 2))) |
(if (<=.f64 a -1243842808203975/4398046511104) (/.f64 b 2) (+.f64 (*.f64 1/2 b) (log.f64 2))) |
(if (<=.f64 a -1243842808203975/4398046511104) (/.f64 b 2) (+.f64 (*.f64 b 1/2) (log.f64 2))) |
(if (<=.f64 a -1243842808203975/4398046511104) (/.f64 b 2) (log.f64 (+.f64 2 b))) |
(if (<=.f64 a -1243842808203975/4398046511104) (/.f64 b 2) (log.f64 (+.f64 b 2))) |
(if (<=.f64 a -1243842808203975/4398046511104) (/.f64 b 2) (log.f64 2)) |
(/.f64 b 2) |
Compiled 109 to 80 computations (26.6% saved)
| 1× | egg-herbie |
| 679× | distribute-rgt-in_binary64 |
| 670× | distribute-lft-in_binary64 |
| 483× | associate-*l/_binary64 |
| 432× | associate-*r/_binary64 |
| 377× | associate-/r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 440 |
| 1 | 214 | 434 |
| 2 | 668 | 428 |
| 3 | 3076 | 416 |
| 1× | node limit |
Compiled 26 to 18 computations (30.8% saved)
Compiled 133 to 86 computations (35.3% saved)
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