Time bar (total: 1.1s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 25% | 74.9% | 0.1% | 3 |
| 62.4% | 37.5% | 0.1% | 4 |
| 68.7% | 31.2% | 0.1% | 5 |
| 68.7% | 18.7% | 12.6% | 6 |
| 68.7% | 17.2% | 14.1% | 7 |
| 68.7% | 10.1% | 21.2% | 8 |
| 68.7% | 9% | 22.3% | 9 |
| 68.7% | 5.3% | 26% | 10 |
| 68.7% | 4.6% | 26.7% | 11 |
| 68.7% | 2.7% | 28.6% | 12 |
| 68.7% | 2.3% | 29% | 13 |
| 68.7% | 1.4% | 30% | 14 |
Compiled 11 to 7 computations (36.4% saved)
| 780.0ms | 8256× | body | 128 | valid |
| 2.0ms | 30× | body | 128 | invalid |
Compiled 22 to 14 computations (36.4% saved)
| 2× | egg-herbie |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 26 |
| 1 | 10 | 26 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 b) (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 10 to 6 computations (40% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 8 | 13 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.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 |
|---|---|---|
| ▶ | 0.2b | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 30 to 18 computations (40% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | b | @ | 0 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 2.0ms | a | @ | 0 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1.0ms | a | @ | inf | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1.0ms | b | @ | inf | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1.0ms | a | @ | -inf | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1× | batch-egg-rewrite |
| 854× | pow1_binary64 |
| 793× | log1p-expm1-u_binary64 |
| 793× | expm1-log1p-u_binary64 |
| 79× | add-sqr-sqrt_binary64 |
| 78× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 147 | 13 |
| 2 | 2116 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (exp.f64 b) 3))) (+.f64 (exp.f64 (+.f64 a a)) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (-.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 a) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))))) |
| 1× | egg-herbie |
| 463× | times-frac_binary64 |
| 306× | associate-+l+_binary64 |
| 281× | associate-/l*_binary64 |
| 270× | fma-def_binary64 |
| 240× | associate--l+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 782 |
| 1 | 280 | 745 |
| 2 | 982 | 729 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (/.f64 a (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1)))) |
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 (pow.f64 a 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (+.f64 (exp.f64 b) 1)))))) (+.f64 (*.f64 3/2 (/.f64 (pow.f64 a 2) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1)))) (/.f64 a (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1))))) |
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (*.f64 2 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (+.f64 (exp.f64 b) 1)))) (/.f64 (pow.f64 a 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (+.f64 (exp.f64 b) 1)))))))) (+.f64 (*.f64 3/2 (/.f64 (pow.f64 a 2) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1)))) (+.f64 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (pow.f64 (+.f64 (exp.f64 b) 1) 2))) (+.f64 (/.f64 a (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1))) (*.f64 7/6 (/.f64 (pow.f64 a 3) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1)))))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 a) (pow.f64 b 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 b 3) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 b 3) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 b 3) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
| Outputs |
|---|
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (/.f64 a (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1)))) |
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) |
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 (pow.f64 a 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (+.f64 (exp.f64 b) 1)))))) (+.f64 (*.f64 3/2 (/.f64 (pow.f64 a 2) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1)))) (/.f64 a (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1))))) |
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (-.f64 (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (+.f64 1 (exp.f64 b))))) (fma.f64 3/2 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) |
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (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)) 3)) (fma.f64 3/2 (/.f64 a (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) a)) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) |
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 a (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) a)) (-.f64 (fma.f64 1/2 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) a)) (/.f64 a (+.f64 1 (exp.f64 b)))) (fma.f64 3/2 (/.f64 a (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) a)) (/.f64 a (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 1/2 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (*.f64 2 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (+.f64 (exp.f64 b) 1)))) (/.f64 (pow.f64 a 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (+.f64 (exp.f64 b) 1)))))))) (+.f64 (*.f64 3/2 (/.f64 (pow.f64 a 2) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1)))) (+.f64 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (pow.f64 (+.f64 (exp.f64 b) 1) 2))) (+.f64 (/.f64 a (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1))) (*.f64 7/6 (/.f64 (pow.f64 a 3) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1)))))))) |
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (+.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (fma.f64 2 (/.f64 (pow.f64 a 3) (*.f64 (+.f64 1 (exp.f64 b)) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (+.f64 1 (exp.f64 b))))))) (fma.f64 3/2 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (+.f64 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 (*.f64 7/6 (pow.f64 a 3)) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) |
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (+.f64 (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (fma.f64 7/6 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 3/2 (/.f64 a (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) a)) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 4))))) |
(fma.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (fma.f64 1/2 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) a)) (-.f64 (-.f64 (+.f64 (fma.f64 2 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 3) (/.f64 a (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) a)) (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 (/.f64 a (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) a)) (+.f64 3/2 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (fma.f64 7/6 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 a) (pow.f64 b 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(-.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 (exp.f64 a) (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (fma.f64 1/2 (/.f64 (*.f64 (exp.f64 a) (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(-.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (*.f64 b (exp.f64 a))) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (fma.f64 1/2 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 b b)) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(-.f64 (fma.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (exp.f64 a) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (fma.f64 1/2 (/.f64 (*.f64 (exp.f64 a) (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 b 3) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 b 3) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 b 3) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) |
(+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 b 3)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (-.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 (exp.f64 a) (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (fma.f64 1/6 (/.f64 (pow.f64 b 3) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a))) (fma.f64 1/2 (/.f64 (*.f64 (exp.f64 a) (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (*.f64 (exp.f64 a) (pow.f64 b 3)) (pow.f64 (+.f64 1 (exp.f64 a)) 4))))))) |
(-.f64 (+.f64 (/.f64 (*.f64 b (*.f64 b (exp.f64 a))) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (exp.f64 a)))) (fma.f64 1/6 (*.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (exp.f64 a)) (+.f64 (fma.f64 1/2 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 b b)) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4) (pow.f64 b 3)))))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (-.f64 (*.f64 (exp.f64 a) (+.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (fma.f64 1/6 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 b 3)) (fma.f64 1/2 (/.f64 (*.f64 (exp.f64 a) (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (exp.f64 a) (+.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 4)))))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 48 | 1 | 49 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 48 | 2 | 50 |
| Status | Error | Program |
|---|---|---|
| ▶ | 13.5b | (/.f64 1 (+.f64 1 (exp.f64 b))) |
| ✓ | 0.2b | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 1242 to 602 computations (51.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (+.f64 1 (exp.f64 b))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | 0 | (/.f64 1 (+.f64 1 (exp.f64 b))) |
| 1.0ms | b | @ | inf | (/.f64 1 (+.f64 1 (exp.f64 b))) |
| 1.0ms | b | @ | -inf | (/.f64 1 (+.f64 1 (exp.f64 b))) |
| 1× | batch-egg-rewrite |
| 596× | pow1_binary64 |
| 554× | add-log-exp_binary64 |
| 554× | log1p-expm1-u_binary64 |
| 554× | expm1-log1p-u_binary64 |
| 62× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 124 | 9 |
| 2 | 1561 | 9 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 1 (exp.f64 b))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) -1) (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 b 3)))) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (exp.f64 (+.f64 b b)))) (-.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))))) |
| 1× | egg-herbie |
| 492× | unswap-sqr_binary64 |
| 421× | fma-def_binary64 |
| 340× | fma-neg_binary64 |
| 339× | distribute-rgt-neg-in_binary64 |
| 285× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 47 |
| 1 | 52 | 43 |
| 2 | 134 | 39 |
| 3 | 389 | 37 |
| 4 | 935 | 37 |
| 5 | 2751 | 37 |
| 6 | 4267 | 37 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(-.f64 1/2 (*.f64 1/4 b)) |
(-.f64 (+.f64 1/2 (*.f64 1/48 (pow.f64 b 3))) (*.f64 1/4 b)) |
(-.f64 (+.f64 1/2 (*.f64 1/48 (pow.f64 b 3))) (+.f64 (*.f64 1/480 (pow.f64 b 5)) (*.f64 1/4 b))) |
| Outputs |
|---|
1/2 |
(-.f64 1/2 (*.f64 1/4 b)) |
(+.f64 1/2 (*.f64 -1/4 b)) |
(fma.f64 b -1/4 1/2) |
(-.f64 (+.f64 1/2 (*.f64 1/48 (pow.f64 b 3))) (*.f64 1/4 b)) |
(+.f64 1/2 (-.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 1/4 b))) |
(+.f64 (fma.f64 1/48 (pow.f64 b 3) 1/2) (*.f64 b -1/4)) |
(fma.f64 b -1/4 (fma.f64 1/48 (pow.f64 b 3) 1/2)) |
(-.f64 (+.f64 1/2 (*.f64 1/48 (pow.f64 b 3))) (+.f64 (*.f64 1/480 (pow.f64 b 5)) (*.f64 1/4 b))) |
(+.f64 1/2 (-.f64 (*.f64 1/48 (pow.f64 b 3)) (fma.f64 1/480 (pow.f64 b 5) (*.f64 1/4 b)))) |
(-.f64 (fma.f64 1/48 (pow.f64 b 3) 1/2) (fma.f64 1/4 b (*.f64 1/480 (pow.f64 b 5)))) |
(+.f64 (*.f64 (pow.f64 b 5) -1/480) (fma.f64 b -1/4 (fma.f64 1/48 (pow.f64 b 3) 1/2))) |
(fma.f64 b -1/4 (fma.f64 (pow.f64 b 5) -1/480 (fma.f64 1/48 (pow.f64 b 3) 1/2))) |
(fma.f64 b -1/4 (fma.f64 1/48 (pow.f64 b 3) (fma.f64 (pow.f64 b 5) -1/480 1/2))) |
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 30 | 0 | 30 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 30 | 2 | 32 |
| Status | Error | Program |
|---|---|---|
| ✓ | 13.5b | (/.f64 1 (+.f64 1 (exp.f64 b))) |
| ✓ | 0.2b | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 316 to 239 computations (24.4% saved)
Total 0.4b remaining (63.9%)
Threshold costs 0.4b (63.9%)
Compiled 62 to 40 computations (35.5% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 8 | 13 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1× | done |
Compiled 38 to 25 computations (34.2% saved)
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