Time bar (total: 14.2s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 25% | 74.9% | 0.1% | 4 |
| 50% | 50% | 0.1% | 5 |
| 50% | 50% | 0.1% | 6 |
| 50% | 50% | 0.1% | 7 |
| 50% | 50% | 0.1% | 8 |
| 50% | 50% | 0.1% | 9 |
| 50% | 50% | 0.1% | 10 |
| 50% | 50% | 0.1% | 11 |
| 50% | 50% | 0.1% | 12 |
| 50% | 50% | 0.1% | 13 |
| 50% | 50% | 0.1% | 14 |
Compiled 9 to 7 computations (22.2% saved)
| 9.4s | 7767× | body | 8192 | exit |
| 1.4s | 1978× | body | 1024 | valid |
| 596.0ms | 4529× | body | 128 | valid |
| 420.0ms | 1039× | body | 512 | valid |
| 204.0ms | 202× | body | 2048 | valid |
| 129.0ms | 508× | body | 256 | valid |
Compiled 18 to 14 computations (22.2% saved)
| 2× | egg-herbie |
| 1× | swap-a-b |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 9 | 20 |
| 0 | 2 | 2 |
| 1 | 2 | 2 |
| 1× | unsound |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
0 |
| Inputs |
|---|
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
| Outputs |
|---|
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(sort a b)
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 8 | 10 |
| 1× | saturated |
| Inputs |
|---|
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| Outputs |
|---|
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 32.7b | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 24 to 18 computations (25% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 4.3b | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | b | @ | inf | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 27.0ms | a | @ | inf | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 19.0ms | a | @ | -inf | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 13.0ms | b | @ | -inf | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1.0ms | a | @ | 0 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1× | batch-egg-rewrite |
| 721× | pow1_binary64 |
| 666× | add-log-exp_binary64 |
| 666× | log1p-expm1-u_binary64 |
| 666× | expm1-log1p-u_binary64 |
| 73× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 138 | 10 |
| 2 | 1818 | 10 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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 expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) |
| 1× | egg-herbie |
| 525× | fma-neg_binary64 |
| 248× | associate-+l+_binary64 |
| 228× | times-frac_binary64 |
| 194× | associate-/l*_binary64 |
| 176× | distribute-rgt-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 508 |
| 1 | 196 | 506 |
| 2 | 715 | 478 |
| 3 | 3468 | 474 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 1 (exp.f64 b))) |
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))) (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) |
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 1/6 (/.f64 (pow.f64 b 3) (+.f64 1 (exp.f64 a)))))))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
| Outputs |
|---|
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))) (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) |
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))) (*.f64 -1/2 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) |
(+.f64 (+.f64 (log1p.f64 (exp.f64 b)) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))) (*.f64 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) -1/2)) |
(+.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) (*.f64 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 b)))))) |
(+.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) (*.f64 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 b)))))) |
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) |
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (fma.f64 1/3 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))))) (*.f64 1/2 (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) |
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (fma.f64 1/3 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (log1p.f64 (exp.f64 b)) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))))) (*.f64 -1/2 (+.f64 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 3) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b))))) (+.f64 (*.f64 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (-.f64 1/6 (/.f64 1/2 (+.f64 1 (exp.f64 b))))) (*.f64 (*.f64 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)) a) -1/2))) |
(+.f64 (fma.f64 1/3 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 3) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b))))) (fma.f64 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (-.f64 1/6 (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)) a) -1/2))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (/.f64 (*.f64 1/2 (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) |
(+.f64 (fma.f64 1/2 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (/.f64 (*.f64 -1/2 (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) |
(+.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a)))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (+.f64 1 (exp.f64 a)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 1/6 (/.f64 (pow.f64 b 3) (+.f64 1 (exp.f64 a)))))))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) |
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 1/6 (/.f64 (pow.f64 b 3) (+.f64 1 (exp.f64 a)))))))) (*.f64 1/2 (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) |
(+.f64 (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (fma.f64 1/6 (/.f64 (pow.f64 b 3) (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (fma.f64 1/2 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (log1p.f64 (exp.f64 a)))) (*.f64 -1/2 (+.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) |
(+.f64 (+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/6 (/.f64 (pow.f64 b 3) (+.f64 1 (exp.f64 a))) (fma.f64 1/3 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 (*.f64 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (-.f64 1/2 (/.f64 1/2 (+.f64 1 (exp.f64 a))))) (/.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 3))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/6 (/.f64 (pow.f64 b 3) (+.f64 1 (exp.f64 a))) (fma.f64 1/3 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (/.f64 b (+.f64 1 (exp.f64 a))))) (fma.f64 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) b)) (+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a)))) (/.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 3)))))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 36 | 1 | 37 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 36 | 2 | 38 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.4b | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
| ✓ | 32.7b | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 729 to 396 computations (45.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 b (+.f64 1 (exp.f64 a))) |
| ✓ | 0.0b | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | a | @ | inf | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
| 14.0ms | a | @ | -inf | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
| 4.0ms | b | @ | 0 | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
| 1.0ms | a | @ | 0 | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
| 1.0ms | a | @ | 0 | (/.f64 b (+.f64 1 (exp.f64 a))) |
| 1× | batch-egg-rewrite |
| 816× | prod-diff_binary64 |
| 317× | fma-def_binary64 |
| 170× | expm1-udef_binary64 |
| 170× | log1p-udef_binary64 |
| 153× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 25 |
| 1 | 189 | 25 |
| 2 | 2657 | 25 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (/.f64 1 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (/.f64 (log1p.f64 (exp.f64 a)) (/.f64 (+.f64 (exp.f64 a) 1) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (neg.f64 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 (exp.f64 a)) 1 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.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 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((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 (/.f64 1 (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 (/.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (/.f64 b (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (/.f64 (cbrt.f64 b) (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (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 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.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 (neg.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 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (/.f64 b (hypot.f64 1 (sqrt.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (/.f64 (cbrt.f64 b) (hypot.f64 1 (sqrt.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)))) (#(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 neg.f64 (/.f64 b (+.f64 (neg.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 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 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))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))))) |
| 1× | egg-herbie |
| 424× | associate-+l+_binary64 |
| 357× | cancel-sign-sub-inv_binary64 |
| 301× | associate-+r+_binary64 |
| 294× | associate-*l*_binary64 |
| 286× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 467 |
| 1 | 127 | 448 |
| 2 | 387 | 432 |
| 3 | 1430 | 428 |
| 4 | 4320 | 428 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (log.f64 2) (*.f64 1/2 b)) |
(-.f64 (+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/2 b))) (*.f64 1/4 (*.f64 a b))) |
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 a 2)) (+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/2 b)))) (*.f64 1/4 (*.f64 a b))) |
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 a 2)) (+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (*.f64 1/2 b))))) (*.f64 1/4 (*.f64 a b))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 1/2 b) |
(-.f64 (*.f64 1/2 b) (*.f64 1/4 (*.f64 a b))) |
(-.f64 (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (*.f64 1/2 b)) (*.f64 1/4 (*.f64 a b))) |
(-.f64 (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (*.f64 1/2 b)) (+.f64 (*.f64 1/4 (*.f64 a b)) (*.f64 1/480 (*.f64 (pow.f64 a 5) b)))) |
| Outputs |
|---|
(+.f64 (log.f64 2) (*.f64 1/2 b)) |
(fma.f64 1/2 b (log.f64 2)) |
(-.f64 (+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/2 b))) (*.f64 1/4 (*.f64 a b))) |
(+.f64 (fma.f64 1/2 a (+.f64 (log.f64 2) (*.f64 1/2 b))) (*.f64 -1/4 (*.f64 b a))) |
(+.f64 (fma.f64 1/2 a (log.f64 2)) (*.f64 b (-.f64 1/2 (*.f64 a 1/4)))) |
(fma.f64 (*.f64 b a) -1/4 (fma.f64 1/2 b (fma.f64 1/2 a (log.f64 2)))) |
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 a 2)) (+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/2 b)))) (*.f64 1/4 (*.f64 a b))) |
(+.f64 (fma.f64 1/8 (*.f64 a a) (fma.f64 1/2 a (+.f64 (log.f64 2) (*.f64 1/2 b)))) (*.f64 -1/4 (*.f64 b a))) |
(fma.f64 1/8 (*.f64 a a) (+.f64 (fma.f64 1/2 a (log.f64 2)) (*.f64 b (-.f64 1/2 (*.f64 a 1/4))))) |
(fma.f64 (*.f64 b a) -1/4 (fma.f64 1/2 a (fma.f64 a (*.f64 a 1/8) (fma.f64 1/2 b (log.f64 2))))) |
(+.f64 (fma.f64 1/2 b (log.f64 2)) (*.f64 a (+.f64 1/2 (fma.f64 a 1/8 (*.f64 b -1/4))))) |
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 a 2)) (+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (*.f64 1/2 b))))) (*.f64 1/4 (*.f64 a b))) |
(+.f64 (fma.f64 1/8 (*.f64 a a) (fma.f64 1/2 a (+.f64 (log.f64 2) (fma.f64 1/48 (*.f64 b (pow.f64 a 3)) (*.f64 1/2 b))))) (*.f64 -1/4 (*.f64 b a))) |
(fma.f64 1/8 (*.f64 a a) (+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 1/48 (*.f64 b (pow.f64 a 3)) (*.f64 b (-.f64 1/2 (*.f64 a 1/4)))))) |
(fma.f64 (*.f64 b a) -1/4 (fma.f64 1/2 a (fma.f64 a (*.f64 a 1/8) (fma.f64 b (fma.f64 1/48 (pow.f64 a 3) 1/2) (log.f64 2))))) |
(+.f64 (fma.f64 b (fma.f64 1/48 (pow.f64 a 3) 1/2) (log.f64 2)) (*.f64 a (+.f64 1/2 (fma.f64 a 1/8 (*.f64 b -1/4))))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 1/2 b) |
(-.f64 (*.f64 1/2 b) (*.f64 1/4 (*.f64 a b))) |
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 b a))) |
(*.f64 b (-.f64 1/2 (*.f64 a 1/4))) |
(*.f64 b (+.f64 1/2 (*.f64 a -1/4))) |
(-.f64 (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (*.f64 1/2 b)) (*.f64 1/4 (*.f64 a b))) |
(+.f64 (fma.f64 1/48 (*.f64 b (pow.f64 a 3)) (*.f64 1/2 b)) (*.f64 -1/4 (*.f64 b a))) |
(fma.f64 1/48 (*.f64 b (pow.f64 a 3)) (*.f64 b (-.f64 1/2 (*.f64 a 1/4)))) |
(*.f64 b (-.f64 (fma.f64 1/48 (pow.f64 a 3) 1/2) (*.f64 a 1/4))) |
(*.f64 b (+.f64 1/2 (fma.f64 1/48 (pow.f64 a 3) (*.f64 a -1/4)))) |
(-.f64 (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (*.f64 1/2 b)) (+.f64 (*.f64 1/4 (*.f64 a b)) (*.f64 1/480 (*.f64 (pow.f64 a 5) b)))) |
(-.f64 (fma.f64 1/48 (*.f64 b (pow.f64 a 3)) (*.f64 1/2 b)) (fma.f64 1/4 (*.f64 b a) (*.f64 (*.f64 1/480 (pow.f64 a 5)) b))) |
(-.f64 (*.f64 b (+.f64 1/2 (*.f64 1/48 (pow.f64 a 3)))) (*.f64 b (+.f64 (*.f64 a 1/4) (*.f64 1/480 (pow.f64 a 5))))) |
(*.f64 b (-.f64 (fma.f64 1/48 (pow.f64 a 3) 1/2) (fma.f64 1/480 (pow.f64 a 5) (*.f64 a 1/4)))) |
(*.f64 b (+.f64 (fma.f64 1/48 (pow.f64 a 3) 1/2) (fma.f64 a -1/4 (*.f64 (pow.f64 a 5) -1/480)))) |
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 105 | 2 | 107 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 105 | 4 | 109 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.4b | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
| ✓ | 32.7b | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 28.1b | (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))) | |
| ▶ | 1.2b | (+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 3)) |
Compiled 1903 to 1024 computations (46.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 3)) |
| ✓ | 0.0b | (/.f64 b (+.f64 (exp.f64 a) 1)) |
| ✓ | 0.7b | (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) |
| ✓ | 0.7b | (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 3) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | a | @ | 0 | (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 3) |
| 3.0ms | b | @ | -inf | (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 3) |
| 3.0ms | a | @ | -inf | (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 3) |
| 2.0ms | a | @ | inf | (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 3) |
| 2.0ms | b | @ | -inf | (+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 3)) |
| 1× | batch-egg-rewrite |
| 984× | prod-diff_binary64 |
| 118× | add-sqr-sqrt_binary64 |
| 113× | pow1_binary64 |
| 112× | *-un-lft-identity_binary64 |
| 112× | add-log-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 45 |
| 1 | 260 | 45 |
| 2 | 3183 | 45 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 3) |
(cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) |
(/.f64 b (+.f64 (exp.f64 a) 1)) |
(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 3)) |
| Outputs |
|---|
((#(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 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2)) (*.f64 (cbrt.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 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1/6) (*.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1/6) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2)))))) (#(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 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2)) 3) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1/6) 3) (pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1/6) 3))))) (#(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 (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 (+.f64 (exp.f64 (+.f64 a a)) 1) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 (exp.f64 (+.f64 a a)) -1)) (expm1.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) 1) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2))) (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1/6)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1/6))))) (#(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 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 /.f64 (*.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2)) (cbrt.f64 (+.f64 (exp.f64 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(2) ((x exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.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 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((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 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))))) |
| 1× | egg-herbie |
| 759× | associate-*l*_binary64 |
| 632× | fma-def_binary64 |
| 421× | cancel-sign-sub-inv_binary64 |
| 166× | unswap-sqr_binary64 |
| 149× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 126 | 1369 |
| 1 | 393 | 1343 |
| 2 | 1415 | 1312 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 b) |
(-.f64 (*.f64 1/2 b) (*.f64 1/4 (*.f64 a (*.f64 (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3) (pow.f64 (pow.f64 b 13) 1/9))))) |
(-.f64 (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 1/2 b) (*.f64 1/1296 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 b 7) 1/3))))) (+.f64 (*.f64 1/4 (*.f64 a (*.f64 (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3) (pow.f64 (pow.f64 b 13) 1/9)))) (*.f64 1/648 (*.f64 (*.f64 (pow.f64 a 3) (cbrt.f64 1/2)) (pow.f64 (pow.f64 b 7) 1/3))))) |
(-.f64 (+.f64 (*.f64 1/7776 (*.f64 (pow.f64 a 4) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (pow.f64 b 25) 1/9)))) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 1/2 b) (*.f64 1/1296 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 b 7) 1/3)))))) (+.f64 (*.f64 1/4 (*.f64 a (*.f64 (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3) (pow.f64 (pow.f64 b 13) 1/9)))) (+.f64 (*.f64 1/15552 (*.f64 (pow.f64 a 4) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 11)) 1/3) (pow.f64 (pow.f64 b 25) 1/9)))) (*.f64 1/648 (*.f64 (*.f64 (pow.f64 a 3) (cbrt.f64 1/2)) (pow.f64 (pow.f64 b 7) 1/3)))))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)) |
(-.f64 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)) (*.f64 1/12 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (pow.f64 b 7) 1/9))))) |
(-.f64 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)) (+.f64 (*.f64 1/144 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (pow.f64 (pow.f64 b 11) 1/9)))) (*.f64 1/12 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (pow.f64 b 7) 1/9)))))) |
(-.f64 (+.f64 (*.f64 1/144 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 b 1/3))) (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3))) (+.f64 (*.f64 5/5184 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 4)) (pow.f64 (pow.f64 b 5) 1/3))) (+.f64 (*.f64 1/144 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (pow.f64 (pow.f64 b 11) 1/9)))) (*.f64 1/12 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (pow.f64 b 7) 1/9))))))) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(/.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 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (*.f64 1/2 b)) (*.f64 1/4 (*.f64 a b))) |
(-.f64 (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (*.f64 1/2 b)) (+.f64 (*.f64 1/4 (*.f64 a b)) (*.f64 1/480 (*.f64 (pow.f64 a 5) b)))) |
(/.f64 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 (log.f64 2) (*.f64 1/2 b)) |
(-.f64 (+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/2 b))) (*.f64 1/4 (*.f64 a b))) |
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 a 2)) (+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/2 b)))) (*.f64 1/4 (*.f64 a b))) |
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 a 2)) (+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (*.f64 1/2 b))))) (*.f64 1/4 (*.f64 a b))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
| Outputs |
|---|
(*.f64 1/2 b) |
(-.f64 (*.f64 1/2 b) (*.f64 1/4 (*.f64 a (*.f64 (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3) (pow.f64 (pow.f64 b 13) 1/9))))) |
(-.f64 (*.f64 1/2 b) (*.f64 (*.f64 1/4 a) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18))))) |
(fma.f64 1/2 b (*.f64 (*.f64 a (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))))) -1/4)) |
(fma.f64 (*.f64 a (*.f64 (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2))) (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)))) -1/4 (*.f64 1/2 b)) |
(-.f64 (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 1/2 b) (*.f64 1/1296 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 b 7) 1/3))))) (+.f64 (*.f64 1/4 (*.f64 a (*.f64 (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3) (pow.f64 (pow.f64 b 13) 1/9)))) (*.f64 1/648 (*.f64 (*.f64 (pow.f64 a 3) (cbrt.f64 1/2)) (pow.f64 (pow.f64 b 7) 1/3))))) |
(-.f64 (fma.f64 1/48 (*.f64 b (pow.f64 a 3)) (fma.f64 1/2 b (*.f64 1/1296 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 b 7)))))) (fma.f64 1/4 (*.f64 a (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)))) (*.f64 (*.f64 1/648 (*.f64 (cbrt.f64 1/2) (pow.f64 a 3))) (cbrt.f64 (pow.f64 b 7))))) |
(-.f64 (fma.f64 1/48 (*.f64 b (pow.f64 a 3)) (fma.f64 1/1296 (/.f64 (*.f64 (pow.f64 a 3) (cbrt.f64 (pow.f64 b 7))) (pow.f64 (cbrt.f64 1/2) 2)) (*.f64 1/2 b))) (fma.f64 1/648 (*.f64 (cbrt.f64 1/2) (*.f64 (pow.f64 a 3) (cbrt.f64 (pow.f64 b 7)))) (*.f64 (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)))) (*.f64 1/4 a)))) |
(fma.f64 b (fma.f64 1/48 (pow.f64 a 3) 1/2) (fma.f64 1/1296 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 b 7))) (fma.f64 (*.f64 a -1/4) (*.f64 (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2))) (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18))) (*.f64 (cbrt.f64 (pow.f64 b 7)) (*.f64 (*.f64 (cbrt.f64 1/2) (pow.f64 a 3)) -1/648))))) |
(-.f64 (+.f64 (*.f64 1/7776 (*.f64 (pow.f64 a 4) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (pow.f64 b 25) 1/9)))) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 1/2 b) (*.f64 1/1296 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 b 7) 1/3)))))) (+.f64 (*.f64 1/4 (*.f64 a (*.f64 (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3) (pow.f64 (pow.f64 b 13) 1/9)))) (+.f64 (*.f64 1/15552 (*.f64 (pow.f64 a 4) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 11)) 1/3) (pow.f64 (pow.f64 b 25) 1/9)))) (*.f64 1/648 (*.f64 (*.f64 (pow.f64 a 3) (cbrt.f64 1/2)) (pow.f64 (pow.f64 b 7) 1/3)))))) |
(-.f64 (fma.f64 1/7776 (*.f64 (pow.f64 a 4) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (pow.f64 (pow.f64 b 25) 1/18) (pow.f64 (pow.f64 b 25) 1/18)))) (fma.f64 1/48 (*.f64 b (pow.f64 a 3)) (fma.f64 1/2 b (*.f64 1/1296 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 b 7))))))) (fma.f64 1/4 (*.f64 a (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)))) (fma.f64 1/15552 (*.f64 (pow.f64 a 4) (*.f64 (*.f64 (pow.f64 (pow.f64 b 25) 1/18) (pow.f64 (pow.f64 b 25) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 11))))) (*.f64 (*.f64 1/648 (*.f64 (cbrt.f64 1/2) (pow.f64 a 3))) (cbrt.f64 (pow.f64 b 7)))))) |
(-.f64 (fma.f64 1/7776 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (*.f64 (pow.f64 (pow.f64 b 25) 1/18) (pow.f64 (pow.f64 b 25) 1/18)) (pow.f64 a 4))) (fma.f64 1/48 (*.f64 b (pow.f64 a 3)) (fma.f64 1/1296 (/.f64 (*.f64 (pow.f64 a 3) (cbrt.f64 (pow.f64 b 7))) (pow.f64 (cbrt.f64 1/2) 2)) (*.f64 1/2 b)))) (fma.f64 1/4 (*.f64 a (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))))) (fma.f64 1/15552 (*.f64 (*.f64 (pow.f64 (pow.f64 b 25) 1/18) (pow.f64 (pow.f64 b 25) 1/18)) (*.f64 (pow.f64 a 4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 11))))) (*.f64 (cbrt.f64 (pow.f64 b 7)) (*.f64 (*.f64 1/648 (cbrt.f64 1/2)) (pow.f64 a 3)))))) |
(fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (pow.f64 (pow.f64 b 25) 1/18) (pow.f64 (pow.f64 b 25) 1/18))) (*.f64 1/7776 (pow.f64 a 4)) (-.f64 (fma.f64 b (fma.f64 1/48 (pow.f64 a 3) 1/2) (*.f64 1/1296 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 b 7))))) (fma.f64 a (*.f64 (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2))) (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (*.f64 (pow.f64 (pow.f64 b 13) 1/18) 1/4))) (fma.f64 (*.f64 (pow.f64 a 4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 11)))) (*.f64 (pow.f64 (pow.f64 b 25) 1/18) (*.f64 (pow.f64 (pow.f64 b 25) 1/18) 1/15552)) (*.f64 (cbrt.f64 1/2) (*.f64 (*.f64 (pow.f64 a 3) (cbrt.f64 (pow.f64 b 7))) 1/648)))))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)) |
(*.f64 (cbrt.f64 1/2) (cbrt.f64 b)) |
(-.f64 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)) (*.f64 1/12 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (pow.f64 b 7) 1/9))))) |
(-.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 b)) (*.f64 (*.f64 1/12 a) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18))))) |
(fma.f64 (cbrt.f64 1/2) (cbrt.f64 b) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18)) a)) -1/12)) |
(fma.f64 (*.f64 a (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18)))) -1/12 (*.f64 (cbrt.f64 1/2) (cbrt.f64 b))) |
(-.f64 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)) (+.f64 (*.f64 1/144 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (pow.f64 (pow.f64 b 11) 1/9)))) (*.f64 1/12 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (pow.f64 b 7) 1/9)))))) |
(-.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 b)) (fma.f64 1/144 (*.f64 (*.f64 (*.f64 a a) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)))) (*.f64 (pow.f64 (pow.f64 b 11) 1/18) (pow.f64 (pow.f64 b 11) 1/18))) (*.f64 (*.f64 1/12 a) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18)))))) |
(-.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 b)) (fma.f64 1/12 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18)) a)) (*.f64 (*.f64 (*.f64 1/144 (*.f64 a a)) (*.f64 (pow.f64 (pow.f64 b 11) 1/18) (pow.f64 (pow.f64 b 11) 1/18))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)))))) |
(fma.f64 (cbrt.f64 1/2) (cbrt.f64 b) (fma.f64 (*.f64 a (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18)))) -1/12 (*.f64 (*.f64 a (*.f64 (*.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)))) (*.f64 (pow.f64 (pow.f64 b 11) 1/18) (pow.f64 (pow.f64 b 11) 1/18)))) -1/144))) |
(-.f64 (+.f64 (*.f64 1/144 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 b 1/3))) (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3))) (+.f64 (*.f64 5/5184 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 4)) (pow.f64 (pow.f64 b 5) 1/3))) (+.f64 (*.f64 1/144 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (pow.f64 (pow.f64 b 11) 1/9)))) (*.f64 1/12 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (pow.f64 b 7) 1/9))))))) |
(-.f64 (fma.f64 1/144 (/.f64 (*.f64 (pow.f64 a 3) (cbrt.f64 b)) (pow.f64 (cbrt.f64 1/2) 2)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 b))) (fma.f64 5/5184 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 4)) (cbrt.f64 (pow.f64 b 5))) (fma.f64 1/144 (*.f64 (*.f64 (*.f64 a a) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)))) (*.f64 (pow.f64 (pow.f64 b 11) 1/18) (pow.f64 (pow.f64 b 11) 1/18))) (*.f64 (*.f64 1/12 a) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18))))))) |
(-.f64 (*.f64 (cbrt.f64 b) (+.f64 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) 1/144) (cbrt.f64 1/2))) (fma.f64 5/5184 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 4)) (cbrt.f64 (pow.f64 b 5))) (fma.f64 1/12 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18)) a)) (*.f64 (*.f64 (*.f64 1/144 (*.f64 a a)) (*.f64 (pow.f64 (pow.f64 b 11) 1/18) (pow.f64 (pow.f64 b 11) 1/18))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))))))) |
(-.f64 (*.f64 (cbrt.f64 b) (fma.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) 1/144 (cbrt.f64 1/2))) (fma.f64 a (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (*.f64 (pow.f64 (pow.f64 b 7) 1/18) 1/12))) (fma.f64 1/144 (*.f64 a (*.f64 (*.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)))) (*.f64 (pow.f64 (pow.f64 b 11) 1/18) (pow.f64 (pow.f64 b 11) 1/18)))) (*.f64 (cbrt.f64 (pow.f64 b 5)) (*.f64 5/2592 (/.f64 (pow.f64 a 3) (cbrt.f64 1/2))))))) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(/.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 -1/4 (*.f64 b a))) |
(*.f64 b (-.f64 1/2 (*.f64 1/4 a))) |
(*.f64 b (+.f64 1/2 (*.f64 a -1/4))) |
(-.f64 (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (*.f64 1/2 b)) (*.f64 1/4 (*.f64 a b))) |
(+.f64 (fma.f64 1/48 (*.f64 b (pow.f64 a 3)) (*.f64 1/2 b)) (*.f64 -1/4 (*.f64 b a))) |
(fma.f64 1/48 (*.f64 b (pow.f64 a 3)) (*.f64 b (-.f64 1/2 (*.f64 1/4 a)))) |
(*.f64 b (-.f64 (fma.f64 1/48 (pow.f64 a 3) 1/2) (*.f64 1/4 a))) |
(-.f64 (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (*.f64 1/2 b)) (+.f64 (*.f64 1/4 (*.f64 a b)) (*.f64 1/480 (*.f64 (pow.f64 a 5) b)))) |
(-.f64 (fma.f64 1/48 (*.f64 b (pow.f64 a 3)) (*.f64 1/2 b)) (fma.f64 1/4 (*.f64 b a) (*.f64 (*.f64 1/480 (pow.f64 a 5)) b))) |
(-.f64 (*.f64 b (+.f64 1/2 (*.f64 1/48 (pow.f64 a 3)))) (*.f64 b (+.f64 (*.f64 1/4 a) (*.f64 1/480 (pow.f64 a 5))))) |
(*.f64 b (-.f64 (fma.f64 1/48 (pow.f64 a 3) 1/2) (fma.f64 1/4 a (*.f64 1/480 (pow.f64 a 5))))) |
(/.f64 b (+.f64 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 (log.f64 2) (*.f64 1/2 b)) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(fma.f64 1/2 b (log.f64 2)) |
(-.f64 (+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/2 b))) (*.f64 1/4 (*.f64 a b))) |
(+.f64 (fma.f64 1/2 a (+.f64 (*.f64 1/2 b) (log.f64 2))) (*.f64 -1/4 (*.f64 b a))) |
(+.f64 (fma.f64 1/2 a (log.f64 2)) (*.f64 b (-.f64 1/2 (*.f64 1/4 a)))) |
(fma.f64 (*.f64 b a) -1/4 (fma.f64 1/2 b (fma.f64 1/2 a (log.f64 2)))) |
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 a 2)) (+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/2 b)))) (*.f64 1/4 (*.f64 a b))) |
(+.f64 (fma.f64 1/8 (*.f64 a a) (fma.f64 1/2 a (+.f64 (*.f64 1/2 b) (log.f64 2)))) (*.f64 -1/4 (*.f64 b a))) |
(fma.f64 (*.f64 a a) 1/8 (+.f64 (fma.f64 1/2 a (log.f64 2)) (*.f64 b (-.f64 1/2 (*.f64 1/4 a))))) |
(fma.f64 a (*.f64 a 1/8) (fma.f64 (*.f64 b a) -1/4 (fma.f64 1/2 b (fma.f64 1/2 a (log.f64 2))))) |
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 a 2)) (+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (*.f64 1/2 b))))) (*.f64 1/4 (*.f64 a b))) |
(+.f64 (fma.f64 1/8 (*.f64 a a) (fma.f64 1/2 a (+.f64 (fma.f64 1/48 (*.f64 b (pow.f64 a 3)) (*.f64 1/2 b)) (log.f64 2)))) (*.f64 -1/4 (*.f64 b a))) |
(fma.f64 (*.f64 a a) 1/8 (+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 1/48 (*.f64 b (pow.f64 a 3)) (*.f64 b (-.f64 1/2 (*.f64 1/4 a)))))) |
(fma.f64 (*.f64 b a) -1/4 (fma.f64 a (*.f64 a 1/8) (fma.f64 1/2 a (fma.f64 b (fma.f64 1/48 (pow.f64 a 3) 1/2) (log.f64 2))))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (/.f64 b (+.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 (/.f64 b (+.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 (/.f64 b (+.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 (/.f64 b (+.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 (/.f64 b (+.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 (/.f64 b (+.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 (/.f64 b (+.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 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (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 (/.f64 b (+.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 (/.f64 b (+.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 (/.f64 b (+.f64 1 (exp.f64 a))) (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 (/.f64 b (+.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 (/.f64 b (+.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 (/.f64 b (+.f64 1 (exp.f64 a))) (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 (/.f64 b (+.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 (/.f64 b (+.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 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 156 | 1 | 157 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 157 | 4 | 161 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.4b | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
| ✓ | 32.7b | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| ▶ | 1.5b | (+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) 3)) |
| 28.1b | (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))) |
Compiled 3392 to 2114 computations (37.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) |
| ✓ | 0.0b | (expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) |
| 0.7b | (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) | |
| ✓ | 0.7b | (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) 3) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | a | @ | inf | (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) |
| 16.0ms | a | @ | -inf | (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) |
| 4.0ms | b | @ | -inf | (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) |
| 3.0ms | a | @ | 0 | (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) |
| 1.0ms | b | @ | -inf | (expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) |
| 1× | batch-egg-rewrite |
| 443× | log-prod_binary64 |
| 174× | prod-diff_binary64 |
| 169× | expm1-udef_binary64 |
| 169× | log1p-udef_binary64 |
| 167× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 33 |
| 1 | 233 | 33 |
| 2 | 2606 | 33 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) 3) |
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) |
(log1p.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) |
| Outputs |
|---|
((#(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 (*.f64 (cbrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) (cbrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (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))) 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(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))))) (#(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 +.f64 (+.f64 1 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 b) (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 b) (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1/6) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) 1) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 b) (cbrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 b)) (cbrt.f64 (+.f64 -1 (neg.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 b)) (neg.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 3) 1) (fma.f64 (+.f64 1 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) (+.f64 1 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) (+.f64 1 (*.f64 (+.f64 1 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (+.f64 1 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) (+.f64 1 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) -1) (+.f64 (+.f64 1 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) 1) b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (cbrt.f64 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/3 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) (cbrt.f64 (+.f64 1 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (cbrt.f64 (+.f64 1 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1/6)) (hypot.f64 1 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1/6)) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) (cbrt.f64 (+.f64 1 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (log.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (hypot.f64 1 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1/6))) (log.f64 (hypot.f64 1 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log.f64 (+.f64 1 (-.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 (exp.f64 (log1p.f64 (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2))) (log.f64 (-.f64 1 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) (cbrt.f64 (pow.f64 (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)) (cbrt.f64 (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) (sqrt.f64 (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))))))) |
| 1× | egg-herbie |
| 971× | times-frac_binary64 |
| 794× | fma-def_binary64 |
| 434× | cancel-sign-sub-inv_binary64 |
| 233× | unswap-sqr_binary64 |
| 172× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 151 | 1365 |
| 1 | 481 | 1334 |
| 2 | 1885 | 1313 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 b) |
(-.f64 (*.f64 1/2 b) (*.f64 1/4 (*.f64 a (*.f64 (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3) (pow.f64 (pow.f64 b 13) 1/9))))) |
(-.f64 (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 1/2 b) (*.f64 1/1296 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 b 7) 1/3))))) (+.f64 (*.f64 1/4 (*.f64 a (*.f64 (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3) (pow.f64 (pow.f64 b 13) 1/9)))) (*.f64 1/648 (*.f64 (*.f64 (pow.f64 a 3) (cbrt.f64 1/2)) (pow.f64 (pow.f64 b 7) 1/3))))) |
(-.f64 (+.f64 (*.f64 1/7776 (*.f64 (pow.f64 a 4) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (pow.f64 b 25) 1/9)))) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 1/2 b) (*.f64 1/1296 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 b 7) 1/3)))))) (+.f64 (*.f64 1/4 (*.f64 a (*.f64 (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3) (pow.f64 (pow.f64 b 13) 1/9)))) (+.f64 (*.f64 1/15552 (*.f64 (pow.f64 a 4) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 11)) 1/3) (pow.f64 (pow.f64 b 25) 1/9)))) (*.f64 1/648 (*.f64 (*.f64 (pow.f64 a 3) (cbrt.f64 1/2)) (pow.f64 (pow.f64 b 7) 1/3)))))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)) |
(-.f64 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)) (*.f64 1/12 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (pow.f64 b 7) 1/9))))) |
(-.f64 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)) (+.f64 (*.f64 1/144 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (pow.f64 (pow.f64 b 11) 1/9)))) (*.f64 1/12 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (pow.f64 b 7) 1/9)))))) |
(-.f64 (+.f64 (*.f64 1/144 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 b 1/3))) (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3))) (+.f64 (*.f64 5/5184 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 4)) (pow.f64 (pow.f64 b 5) 1/3))) (+.f64 (*.f64 1/144 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (pow.f64 (pow.f64 b 11) 1/9)))) (*.f64 1/12 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (pow.f64 b 7) 1/9))))))) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(log.f64 (+.f64 1 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)))) |
(-.f64 (log.f64 (+.f64 1 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)))) (*.f64 1/12 (*.f64 (/.f64 a (+.f64 1 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (pow.f64 b 7) 1/9))))) |
(-.f64 (log.f64 (+.f64 1 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)))) (+.f64 (*.f64 1/144 (*.f64 (/.f64 (pow.f64 a 2) (+.f64 1 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (pow.f64 (pow.f64 b 11) 1/9)))) (+.f64 (*.f64 1/288 (*.f64 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3))) 2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3) (pow.f64 (pow.f64 b 14) 1/9)))) (*.f64 1/12 (*.f64 (/.f64 a (+.f64 1 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (pow.f64 b 7) 1/9))))))) |
(-.f64 (+.f64 (log.f64 (+.f64 1 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)))) (*.f64 1/144 (*.f64 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (+.f64 1 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3))))) (pow.f64 b 1/3)))) (+.f64 (*.f64 1/5184 (*.f64 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (+.f64 1 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3))) 3))) (pow.f64 (pow.f64 b 7) 1/3))) (+.f64 (*.f64 1/864 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 b 2)) (pow.f64 (+.f64 1 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3))) 2))) (+.f64 (*.f64 1/144 (*.f64 (/.f64 (pow.f64 a 2) (+.f64 1 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (pow.f64 (pow.f64 b 11) 1/9)))) (+.f64 (*.f64 1/288 (*.f64 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3))) 2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3) (pow.f64 (pow.f64 b 14) 1/9)))) (+.f64 (*.f64 1/12 (*.f64 (/.f64 a (+.f64 1 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (pow.f64 b 7) 1/9)))) (*.f64 5/5184 (*.f64 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (cbrt.f64 1/2) 4) (+.f64 1 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3))))) (pow.f64 (pow.f64 b 5) 1/3))))))))) |
(log.f64 (+.f64 1 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3))) |
(log.f64 (+.f64 1 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3))) |
(log.f64 (+.f64 1 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3))) |
(log.f64 (+.f64 1 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3))) |
(log.f64 (+.f64 1 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3))) |
(log.f64 (+.f64 1 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3))) |
(log.f64 (+.f64 1 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3))) |
(log.f64 (+.f64 1 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3))) |
| Outputs |
|---|
(*.f64 1/2 b) |
(-.f64 (*.f64 1/2 b) (*.f64 1/4 (*.f64 a (*.f64 (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3) (pow.f64 (pow.f64 b 13) 1/9))))) |
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)))))) |
(fma.f64 1/2 b (*.f64 (*.f64 -1/4 a) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18))))) |
(fma.f64 (*.f64 -1/4 a) (*.f64 (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2))) (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18))) (*.f64 1/2 b)) |
(-.f64 (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 1/2 b) (*.f64 1/1296 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 b 7) 1/3))))) (+.f64 (*.f64 1/4 (*.f64 a (*.f64 (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3) (pow.f64 (pow.f64 b 13) 1/9)))) (*.f64 1/648 (*.f64 (*.f64 (pow.f64 a 3) (cbrt.f64 1/2)) (pow.f64 (pow.f64 b 7) 1/3))))) |
(-.f64 (fma.f64 1/48 (*.f64 b (pow.f64 a 3)) (fma.f64 1/2 b (*.f64 1/1296 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 b 7)))))) (fma.f64 1/4 (*.f64 a (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)))) (*.f64 1/648 (*.f64 (cbrt.f64 (pow.f64 b 7)) (*.f64 (cbrt.f64 1/2) (pow.f64 a 3)))))) |
(-.f64 (fma.f64 1/48 (*.f64 b (pow.f64 a 3)) (fma.f64 (/.f64 (*.f64 1/1296 (pow.f64 a 3)) (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 b 7)) (*.f64 1/2 b))) (fma.f64 (*.f64 (*.f64 1/648 (cbrt.f64 1/2)) (pow.f64 a 3)) (cbrt.f64 (pow.f64 b 7)) (*.f64 a (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18))) 1/4)))) |
(+.f64 (fma.f64 b (fma.f64 1/48 (pow.f64 a 3) 1/2) (fma.f64 1/1296 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 b 7))) (*.f64 (*.f64 -1/4 a) (*.f64 (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2))) (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)))))) (*.f64 -1/648 (*.f64 (cbrt.f64 1/2) (*.f64 (pow.f64 a 3) (cbrt.f64 (pow.f64 b 7)))))) |
(-.f64 (+.f64 (*.f64 1/7776 (*.f64 (pow.f64 a 4) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (pow.f64 b 25) 1/9)))) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 1/2 b) (*.f64 1/1296 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 b 7) 1/3)))))) (+.f64 (*.f64 1/4 (*.f64 a (*.f64 (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3) (pow.f64 (pow.f64 b 13) 1/9)))) (+.f64 (*.f64 1/15552 (*.f64 (pow.f64 a 4) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 11)) 1/3) (pow.f64 (pow.f64 b 25) 1/9)))) (*.f64 1/648 (*.f64 (*.f64 (pow.f64 a 3) (cbrt.f64 1/2)) (pow.f64 (pow.f64 b 7) 1/3)))))) |
(-.f64 (fma.f64 1/7776 (*.f64 (pow.f64 a 4) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (pow.f64 (pow.f64 b 25) 1/18) (pow.f64 (pow.f64 b 25) 1/18)))) (fma.f64 1/48 (*.f64 b (pow.f64 a 3)) (fma.f64 1/2 b (*.f64 1/1296 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 b 7))))))) (fma.f64 1/4 (*.f64 a (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)))) (fma.f64 1/15552 (*.f64 (pow.f64 a 4) (*.f64 (*.f64 (pow.f64 (pow.f64 b 25) 1/18) (pow.f64 (pow.f64 b 25) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 11))))) (*.f64 1/648 (*.f64 (cbrt.f64 (pow.f64 b 7)) (*.f64 (cbrt.f64 1/2) (pow.f64 a 3))))))) |
(-.f64 (fma.f64 1/7776 (*.f64 (pow.f64 a 4) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (pow.f64 (pow.f64 b 25) 1/18) (pow.f64 (pow.f64 b 25) 1/18)))) (fma.f64 1/48 (*.f64 b (pow.f64 a 3)) (fma.f64 (/.f64 (*.f64 1/1296 (pow.f64 a 3)) (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 b 7)) (*.f64 1/2 b)))) (fma.f64 1/4 (*.f64 a (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)))) (fma.f64 1/648 (*.f64 (cbrt.f64 1/2) (*.f64 (pow.f64 a 3) (cbrt.f64 (pow.f64 b 7)))) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 b 25) 1/18) (pow.f64 (pow.f64 b 25) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 11)))) (*.f64 (pow.f64 a 4) 1/15552))))) |
(-.f64 (fma.f64 1/7776 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (*.f64 (pow.f64 (pow.f64 b 25) 1/18) (pow.f64 (pow.f64 b 25) 1/18)) (pow.f64 a 4))) (fma.f64 b (fma.f64 1/48 (pow.f64 a 3) 1/2) (*.f64 (cbrt.f64 (pow.f64 b 7)) (/.f64 (*.f64 1/1296 (pow.f64 a 3)) (pow.f64 (cbrt.f64 1/2) 2))))) (fma.f64 (*.f64 (*.f64 (pow.f64 a 4) 1/15552) (*.f64 (pow.f64 (pow.f64 b 25) 1/18) (pow.f64 (pow.f64 b 25) 1/18))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 11))) (fma.f64 1/4 (*.f64 a (*.f64 (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2))) (*.f64 (pow.f64 (pow.f64 b 13) 1/18) (pow.f64 (pow.f64 b 13) 1/18)))) (*.f64 (cbrt.f64 (pow.f64 b 7)) (*.f64 (*.f64 1/648 (pow.f64 a 3)) (cbrt.f64 1/2)))))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(/.f64 b (+.f64 1 (exp.f64 a))) |
(*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)) |
(*.f64 (cbrt.f64 1/2) (cbrt.f64 b)) |
(-.f64 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)) (*.f64 1/12 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (pow.f64 b 7) 1/9))))) |
(+.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 b)) (*.f64 -1/12 (*.f64 a (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18)))))) |
(fma.f64 (cbrt.f64 1/2) (cbrt.f64 b) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18)) a)) -1/12)) |
(fma.f64 (*.f64 -1/12 a) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 b))) |
(-.f64 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)) (+.f64 (*.f64 1/144 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (pow.f64 (pow.f64 b 11) 1/9)))) (*.f64 1/12 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (pow.f64 b 7) 1/9)))))) |
(-.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 b)) (fma.f64 1/144 (*.f64 (*.f64 a a) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (*.f64 (pow.f64 (pow.f64 b 11) 1/18) (pow.f64 (pow.f64 b 11) 1/18)))) (*.f64 1/12 (*.f64 a (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18))))))) |
(-.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 b)) (fma.f64 1/12 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18)) a)) (*.f64 (*.f64 (*.f64 1/144 (*.f64 a a)) (*.f64 (pow.f64 (pow.f64 b 11) 1/18) (pow.f64 (pow.f64 b 11) 1/18))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)))))) |
(-.f64 (fma.f64 (*.f64 -1/12 a) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 b))) (*.f64 (*.f64 (*.f64 (*.f64 1/144 a) a) (*.f64 (pow.f64 (pow.f64 b 11) 1/18) (pow.f64 (pow.f64 b 11) 1/18))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))))) |
(-.f64 (+.f64 (*.f64 1/144 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 b 1/3))) (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3))) (+.f64 (*.f64 5/5184 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 4)) (pow.f64 (pow.f64 b 5) 1/3))) (+.f64 (*.f64 1/144 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (pow.f64 (pow.f64 b 11) 1/9)))) (*.f64 1/12 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (pow.f64 b 7) 1/9))))))) |
(-.f64 (fma.f64 1/144 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 b)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 b))) (fma.f64 5/5184 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 4)) (cbrt.f64 (pow.f64 b 5))) (fma.f64 1/144 (*.f64 (*.f64 a a) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (*.f64 (pow.f64 (pow.f64 b 11) 1/18) (pow.f64 (pow.f64 b 11) 1/18)))) (*.f64 1/12 (*.f64 a (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18)))))))) |
(-.f64 (*.f64 (cbrt.f64 b) (+.f64 (cbrt.f64 1/2) (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) 1/144))) (fma.f64 5/5184 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 4)) (cbrt.f64 (pow.f64 b 5))) (fma.f64 1/12 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18)) a)) (*.f64 (*.f64 (*.f64 1/144 (*.f64 a a)) (*.f64 (pow.f64 (pow.f64 b 11) 1/18) (pow.f64 (pow.f64 b 11) 1/18))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))))))) |
(-.f64 (*.f64 (cbrt.f64 b) (fma.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) 1/144 (cbrt.f64 1/2))) (fma.f64 a (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18))) 1/12) (fma.f64 (*.f64 (*.f64 (*.f64 1/144 a) a) (*.f64 (pow.f64 (pow.f64 b 11) 1/18) (pow.f64 (pow.f64 b 11) 1/18))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (*.f64 (cbrt.f64 (pow.f64 b 5)) (*.f64 5/2592 (/.f64 (pow.f64 a 3) (cbrt.f64 1/2))))))) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(log.f64 (+.f64 1 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)))) |
(log1p.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 b))) |
(-.f64 (log.f64 (+.f64 1 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)))) (*.f64 1/12 (*.f64 (/.f64 a (+.f64 1 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (pow.f64 b 7) 1/9))))) |
(+.f64 (log1p.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 b))) (*.f64 -1/12 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18))) (/.f64 a (+.f64 1 (*.f64 (cbrt.f64 1/2) (cbrt.f64 b))))))) |
(-.f64 (log1p.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 b))) (*.f64 (*.f64 (*.f64 1/12 (/.f64 a (fma.f64 (cbrt.f64 1/2) (cbrt.f64 b) 1))) (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) |
(fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18)) (/.f64 a (fma.f64 (cbrt.f64 1/2) (cbrt.f64 b) 1)))) -1/12 (log1p.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 b)))) |
(-.f64 (log.f64 (+.f64 1 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)))) (+.f64 (*.f64 1/144 (*.f64 (/.f64 (pow.f64 a 2) (+.f64 1 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (pow.f64 (pow.f64 b 11) 1/9)))) (+.f64 (*.f64 1/288 (*.f64 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3))) 2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3) (pow.f64 (pow.f64 b 14) 1/9)))) (*.f64 1/12 (*.f64 (/.f64 a (+.f64 1 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (pow.f64 b 7) 1/9))))))) |
(-.f64 (log1p.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 b))) (fma.f64 1/144 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (*.f64 (pow.f64 (pow.f64 b 11) 1/18) (pow.f64 (pow.f64 b 11) 1/18))) (/.f64 (*.f64 a a) (+.f64 1 (*.f64 (cbrt.f64 1/2) (cbrt.f64 b))))) (fma.f64 1/288 (*.f64 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (*.f64 (cbrt.f64 1/2) (cbrt.f64 b))) 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))) (*.f64 (pow.f64 (pow.f64 b 14) 1/18) (pow.f64 (pow.f64 b 14) 1/18)))) (*.f64 1/12 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18))) (/.f64 a (+.f64 1 (*.f64 (cbrt.f64 1/2) (cbrt.f64 b))))))))) |
(-.f64 (log1p.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 b))) (fma.f64 1/144 (*.f64 (*.f64 (/.f64 a (/.f64 (fma.f64 (cbrt.f64 1/2) (cbrt.f64 b) 1) a)) (*.f64 (pow.f64 (pow.f64 b 11) 1/18) (pow.f64 (pow.f64 b 11) 1/18))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)))) (fma.f64 1/288 (*.f64 (/.f64 a (/.f64 (pow.f64 (fma.f64 (cbrt.f64 1/2) (cbrt.f64 b) 1) 2) a)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))) (*.f64 (pow.f64 (pow.f64 b 14) 1/18) (pow.f64 (pow.f64 b 14) 1/18)))) (*.f64 (*.f64 (*.f64 1/12 (/.f64 a (fma.f64 (cbrt.f64 1/2) (cbrt.f64 b) 1))) (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))))) |
(-.f64 (log1p.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 b))) (fma.f64 1/12 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18)) (/.f64 a (fma.f64 (cbrt.f64 1/2) (cbrt.f64 b) 1)))) (fma.f64 1/144 (*.f64 (*.f64 (/.f64 a (/.f64 (fma.f64 (cbrt.f64 1/2) (cbrt.f64 b) 1) a)) (*.f64 (pow.f64 (pow.f64 b 11) 1/18) (pow.f64 (pow.f64 b 11) 1/18))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)))) (*.f64 1/288 (/.f64 (*.f64 (*.f64 (*.f64 a a) (cbrt.f64 (/.f64 1 (*.f64 1/2 (cbrt.f64 1/2))))) (*.f64 (pow.f64 (pow.f64 b 14) 1/18) (pow.f64 (pow.f64 b 14) 1/18))) (pow.f64 (fma.f64 (cbrt.f64 1/2) (cbrt.f64 b) 1) 2)))))) |
(-.f64 (+.f64 (log.f64 (+.f64 1 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)))) (*.f64 1/144 (*.f64 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (+.f64 1 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3))))) (pow.f64 b 1/3)))) (+.f64 (*.f64 1/5184 (*.f64 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (+.f64 1 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3))) 3))) (pow.f64 (pow.f64 b 7) 1/3))) (+.f64 (*.f64 1/864 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 b 2)) (pow.f64 (+.f64 1 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3))) 2))) (+.f64 (*.f64 1/144 (*.f64 (/.f64 (pow.f64 a 2) (+.f64 1 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (pow.f64 (pow.f64 b 11) 1/9)))) (+.f64 (*.f64 1/288 (*.f64 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3))) 2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3) (pow.f64 (pow.f64 b 14) 1/9)))) (+.f64 (*.f64 1/12 (*.f64 (/.f64 a (+.f64 1 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (pow.f64 b 7) 1/9)))) (*.f64 5/5184 (*.f64 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (cbrt.f64 1/2) 4) (+.f64 1 (*.f64 (cbrt.f64 1/2) (pow.f64 b 1/3))))) (pow.f64 (pow.f64 b 5) 1/3))))))))) |
(-.f64 (+.f64 (log1p.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 b))) (*.f64 1/144 (*.f64 (cbrt.f64 b) (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (+.f64 1 (*.f64 (cbrt.f64 1/2) (cbrt.f64 b)))))))) (fma.f64 1/5184 (*.f64 (cbrt.f64 (pow.f64 b 7)) (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (+.f64 1 (*.f64 (cbrt.f64 1/2) (cbrt.f64 b))) 3)))) (fma.f64 1/864 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (+.f64 1 (*.f64 (cbrt.f64 1/2) (cbrt.f64 b))) 2) (*.f64 b b))) (fma.f64 1/144 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (*.f64 (pow.f64 (pow.f64 b 11) 1/18) (pow.f64 (pow.f64 b 11) 1/18))) (/.f64 (*.f64 a a) (+.f64 1 (*.f64 (cbrt.f64 1/2) (cbrt.f64 b))))) (fma.f64 1/288 (*.f64 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (*.f64 (cbrt.f64 1/2) (cbrt.f64 b))) 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))) (*.f64 (pow.f64 (pow.f64 b 14) 1/18) (pow.f64 (pow.f64 b 14) 1/18)))) (fma.f64 1/12 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18))) (/.f64 a (+.f64 1 (*.f64 (cbrt.f64 1/2) (cbrt.f64 b))))) (*.f64 5/5184 (*.f64 (cbrt.f64 (pow.f64 b 5)) (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (cbrt.f64 1/2) 4) (+.f64 1 (*.f64 (cbrt.f64 1/2) (cbrt.f64 b))))))))))))) |
(-.f64 (fma.f64 1/144 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (/.f64 (cbrt.f64 b) (fma.f64 (cbrt.f64 1/2) (cbrt.f64 b) 1))) (log1p.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 b)))) (fma.f64 1/5184 (*.f64 (cbrt.f64 (pow.f64 b 7)) (/.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (fma.f64 (cbrt.f64 1/2) (cbrt.f64 b) 1) 3))) (fma.f64 1/864 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (fma.f64 (cbrt.f64 1/2) (cbrt.f64 b) 1) 2) (*.f64 b b))) (fma.f64 1/144 (*.f64 (*.f64 (/.f64 a (/.f64 (fma.f64 (cbrt.f64 1/2) (cbrt.f64 b) 1) a)) (*.f64 (pow.f64 (pow.f64 b 11) 1/18) (pow.f64 (pow.f64 b 11) 1/18))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)))) (fma.f64 1/288 (*.f64 (/.f64 a (/.f64 (pow.f64 (fma.f64 (cbrt.f64 1/2) (cbrt.f64 b) 1) 2) a)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))) (*.f64 (pow.f64 (pow.f64 b 14) 1/18) (pow.f64 (pow.f64 b 14) 1/18)))) (fma.f64 5/5184 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 4)) (/.f64 (cbrt.f64 (pow.f64 b 5)) (fma.f64 (cbrt.f64 1/2) (cbrt.f64 b) 1))) (*.f64 (*.f64 (*.f64 1/12 (/.f64 a (fma.f64 (cbrt.f64 1/2) (cbrt.f64 b) 1))) (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))))))) |
(-.f64 (fma.f64 (cbrt.f64 b) (*.f64 1/144 (/.f64 (pow.f64 a 3) (fma.f64 1/2 (cbrt.f64 b) (pow.f64 (cbrt.f64 1/2) 2)))) (log1p.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 b)))) (fma.f64 (cbrt.f64 (pow.f64 b 7)) (*.f64 1/5184 (/.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (fma.f64 (cbrt.f64 1/2) (cbrt.f64 b) 1) 3))) (fma.f64 1/864 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (fma.f64 (cbrt.f64 1/2) (cbrt.f64 b) 1) 2)) (*.f64 b b)) (fma.f64 1/144 (*.f64 (*.f64 (/.f64 a (/.f64 (fma.f64 (cbrt.f64 1/2) (cbrt.f64 b) 1) a)) (*.f64 (pow.f64 (pow.f64 b 11) 1/18) (pow.f64 (pow.f64 b 11) 1/18))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)))) (fma.f64 1/12 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (*.f64 (pow.f64 (pow.f64 b 7) 1/18) (pow.f64 (pow.f64 b 7) 1/18)) (/.f64 a (fma.f64 (cbrt.f64 1/2) (cbrt.f64 b) 1)))) (fma.f64 (cbrt.f64 (pow.f64 b 5)) (/.f64 (*.f64 5/2592 (/.f64 (pow.f64 a 3) (cbrt.f64 1/2))) (fma.f64 (cbrt.f64 1/2) (cbrt.f64 b) 1)) (*.f64 1/288 (/.f64 (*.f64 (*.f64 (*.f64 a a) (cbrt.f64 (/.f64 1 (*.f64 1/2 (cbrt.f64 1/2))))) (*.f64 (pow.f64 (pow.f64 b 14) 1/18) (pow.f64 (pow.f64 b 14) 1/18))) (pow.f64 (fma.f64 (cbrt.f64 1/2) (cbrt.f64 b) 1) 2))))))))) |
(log.f64 (+.f64 1 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3))) |
(log1p.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) |
(log.f64 (+.f64 1 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3))) |
(log1p.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) |
(log.f64 (+.f64 1 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3))) |
(log1p.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) |
(log.f64 (+.f64 1 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3))) |
(log1p.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) |
(log.f64 (+.f64 1 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3))) |
(log1p.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) |
(log.f64 (+.f64 1 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3))) |
(log1p.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) |
(log.f64 (+.f64 1 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3))) |
(log1p.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) |
(log.f64 (+.f64 1 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/3))) |
(log1p.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) |
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 174 | 2 | 176 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 176 | 4 | 180 |
| Status | Error | Program |
|---|---|---|
| 1.7b | (+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 3))) 3)) | |
| ✓ | 0.4b | (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
| 2.2b | (+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) 3)) 3)) | |
| ✓ | 32.7b | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 4693 to 3246 computations (30.8% saved)
Total 0.5b remaining (44.5%)
Threshold costs 0.5b (44.5%)
Compiled 492 to 304 computations (38.2% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 16 |
| 1 | 13 | 16 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
| Outputs |
|---|
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) |
| 1× | fuel |
Compiled 108 to 78 computations (27.8% saved)
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