Time bar (total: 7.1s)
| 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 |
Compiled 11 to 7 computations (36.4% saved)
| 1.1s | 8256× | body | 256 | valid |
| 17.0ms | 196× | body | 256 | invalid |
| 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 12 to 8 computations (33.3% 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))) |
Compiled 10 to 6 computations (40% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 1.0b | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 10 to 6 computations (40% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (exp.f64 a) (exp.f64 b)) |
| ✓ | 1.0b | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 21 to 6 computations (71.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | 0 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 2.0ms | b | @ | 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× | add-log-exp_binary64 |
| 793× | log1p-expm1-u_binary64 |
| 793× | expm1-log1p-u_binary64 |
| 774× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 21 |
| 1 | 147 | 21 |
| 2 | 2122 | 21 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.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 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (*.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 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 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 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (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 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (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 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (-.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 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 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(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 -.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a)))))) |
| 1× | egg-herbie |
| 763× | distribute-rgt-in_binary64 |
| 740× | distribute-lft-in_binary64 |
| 578× | cancel-sign-sub-inv_binary64 |
| 396× | fma-def_binary64 |
| 396× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 686 |
| 1 | 273 | 662 |
| 2 | 875 | 638 |
| 3 | 3997 | 617 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))) (pow.f64 a 3)) (+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) |
(+.f64 1 (exp.f64 b)) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b)))) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) (exp.f64 b))))) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (+.f64 (exp.f64 a) b)) |
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) |
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))) |
| Outputs |
|---|
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(+.f64 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) |
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(fma.f64 a (*.f64 a (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(fma.f64 a (*.f64 a (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))) (pow.f64 a 3)) (+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))) |
(fma.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))) (pow.f64 a 3) (fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b)))))) |
(fma.f64 (+.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (fma.f64 1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (pow.f64 a 3) (fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b)))))) |
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (-.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 1/2 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))))) (pow.f64 a 3) (fma.f64 a (*.f64 a (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (/.f64 1 (+.f64 1 (exp.f64 b)))))) |
(fma.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) -1/2 (+.f64 (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (/.f64 -2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (pow.f64 a 3) (fma.f64 a (*.f64 a (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) |
(fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 b b)) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b))))) |
(-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) (*.f64 b (*.f64 b (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))) |
(fma.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2)) (*.f64 b (neg.f64 b)) (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) |
(-.f64 (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (*.f64 b (*.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) |
(fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a))) (fma.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3)) (fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 b b)) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) (*.f64 b (*.f64 b (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))) (*.f64 (-.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) -1/2 (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (/.f64 (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (+.f64 1 (exp.f64 a)))) (pow.f64 b 3))) |
(-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 (*.f64 b b) (+.f64 (*.f64 b (-.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1/2 (+.f64 1 (exp.f64 a))) 1/6)) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2)) (+.f64 1 (exp.f64 a))))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2))))) |
(+.f64 (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (*.f64 (*.f64 b b) (-.f64 (*.f64 b (-.f64 (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2)) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1/2 (+.f64 1 (exp.f64 a))) 1/6)))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2))))) |
(+.f64 1 (exp.f64 b)) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 (+.f64 1 a) (exp.f64 b)) |
(+.f64 1 (+.f64 (exp.f64 b) a)) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b)))) |
(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 1 a) (exp.f64 b))) |
(+.f64 (+.f64 (exp.f64 b) a) (fma.f64 1/2 (*.f64 a a) 1)) |
(+.f64 a (+.f64 (exp.f64 b) (fma.f64 1/2 (*.f64 a a) 1))) |
(+.f64 1 (fma.f64 a (*.f64 a 1/2) (+.f64 (exp.f64 b) a))) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) (exp.f64 b))))) |
(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 1 a) (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))) |
(+.f64 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))) (fma.f64 1/2 (*.f64 a a) 1)) |
(+.f64 (exp.f64 b) (+.f64 (fma.f64 1/2 (*.f64 a a) 1) (fma.f64 1/6 (pow.f64 a 3) a))) |
(+.f64 a (+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (fma.f64 a (*.f64 a 1/2) 1))) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (+.f64 (exp.f64 a) b)) |
(+.f64 1 (+.f64 b (exp.f64 a))) |
(+.f64 (exp.f64 a) (+.f64 1 b)) |
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) |
(+.f64 (+.f64 1 (exp.f64 a)) (+.f64 b (*.f64 1/2 (*.f64 b b)))) |
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) |
(+.f64 (exp.f64 a) (+.f64 b (fma.f64 1/2 (*.f64 b b) 1))) |
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))) |
(fma.f64 1/6 (pow.f64 b 3) (+.f64 (+.f64 1 (exp.f64 a)) (+.f64 b (*.f64 1/2 (*.f64 b b))))) |
(+.f64 (+.f64 (fma.f64 1/6 (pow.f64 b 3) 1) (fma.f64 1/2 (*.f64 b b) b)) (exp.f64 a)) |
(+.f64 b (+.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) (fma.f64 1/6 (pow.f64 b 3) 1))) |
(+.f64 (exp.f64 a) (+.f64 (fma.f64 1/2 (*.f64 b b) b) (fma.f64 1/6 (pow.f64 b 3) 1))) |
Compiled 1902 to 915 computations (51.9% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 89 | 5 | 94 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 90 | 5 | 95 |
| Status | Error | Program |
|---|---|---|
| ▶ | 1.2b | (-.f64 (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1) |
| ▶ | 22.3b | (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) |
| ▶ | 21.0b | (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
| ▶ | 1.4b | (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3) |
| ▶ | 12.5b | (/.f64 1 (+.f64 1 (exp.f64 b))) |
Compiled 126 to 90 computations (28.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (exp.f64 a) (exp.f64 b)) | |
| ✓ | 0.0b | (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) |
| ✓ | 0.2b | (-.f64 (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1) |
| 1.0b | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 44 to 13 computations (70.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | 0 | (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) |
| 1.0ms | a | @ | 0 | (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) |
| 1.0ms | a | @ | 0 | (-.f64 (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1) |
| 0.0ms | b | @ | 0 | (-.f64 (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1) |
| 0.0ms | a | @ | -inf | (-.f64 (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1) |
| 1× | batch-egg-rewrite |
| 940× | prod-diff_binary64 |
| 543× | fma-def_binary64 |
| 484× | log-prod_binary64 |
| 257× | fma-neg_binary64 |
| 182× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 35 |
| 1 | 222 | 29 |
| 2 | 3330 | 29 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1) |
(+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 835× | fma-neg_binary64 |
| 758× | distribute-rgt-in_binary64 |
| 422× | fma-def_binary64 |
| 265× | associate-+l+_binary64 |
| 261× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 1374 |
| 1 | 311 | 1340 |
| 2 | 951 | 1292 |
| 3 | 4610 | 1248 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))) (pow.f64 a 3)) (+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(+.f64 1 (+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))) (pow.f64 a 3)) (+.f64 1 (+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) 1) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3))))))) |
| Outputs |
|---|
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(+.f64 (*.f64 (+.f64 a 1) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) |
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (+.f64 (*.f64 (+.f64 a 1) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))) (pow.f64 a 3)) (+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))) |
(fma.f64 (-.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b)))))) (pow.f64 a 3) (fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b)))))) |
(fma.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (-.f64 (-.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))) (fma.f64 1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 3) (fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b)))))) |
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (-.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 1/2 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))))) (pow.f64 a 3) (fma.f64 a (*.f64 a (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (/.f64 1 (+.f64 1 (exp.f64 b)))))) |
(fma.f64 (+.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (-.f64 (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (fma.f64 1/2 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 3) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (+.f64 (*.f64 (+.f64 a 1) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.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 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) |
(fma.f64 -1 (*.f64 (*.f64 b b) (fma.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.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) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) (*.f64 (*.f64 b b) (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 b (*.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2)))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 b b)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (*.f64 (*.f64 b b) -1/2) (neg.f64 b))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) |
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(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) (*.f64 (-.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) -1/2 (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (/.f64 (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (+.f64 1 (exp.f64 a)))) (pow.f64 b 3))) (*.f64 (*.f64 b b) (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (-.f64 (-.f64 1 (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 (*.f64 b b) (+.f64 (*.f64 b (-.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1/2 (+.f64 1 (exp.f64 a))) 1/6)) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2)) (+.f64 1 (exp.f64 a))))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2)))))) |
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))) (*.f64 (*.f64 b b) (+.f64 (*.f64 b (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1/2 (+.f64 1 (exp.f64 a))) 1/6) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (neg.f64 (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2))) (+.f64 1 (exp.f64 a))))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2))))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (exp.f64 b)) |
| ✓ | 0.0b | (/.f64 1 (+.f64 1 (exp.f64 b))) |
Compiled 16 to 10 computations (37.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | inf | (/.f64 1 (+.f64 1 (exp.f64 b))) |
| 1.0ms | b | @ | -inf | (/.f64 1 (+.f64 1 (exp.f64 b))) |
| 1.0ms | b | @ | 0 | (/.f64 1 (+.f64 1 (exp.f64 b))) |
| 0.0ms | b | @ | 0 | (+.f64 1 (exp.f64 b)) |
| 0.0ms | b | @ | -inf | (+.f64 1 (exp.f64 b)) |
| 1× | batch-egg-rewrite |
| 596× | pow1_binary64 |
| 554× | add-log-exp_binary64 |
| 554× | log1p-expm1-u_binary64 |
| 554× | expm1-log1p-u_binary64 |
| 542× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 1 | 124 | 15 |
| 2 | 1567 | 15 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(+.f64 1 (exp.f64 b)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.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 (neg.f64 (+.f64 1 (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 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (-.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 cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(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 -.f64 (+.f64 1 (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (sqrt.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (exp.f64 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 b) 2) 1) (expm1.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1))))) |
| 1× | egg-herbie |
| 1173× | fma-def_binary64 |
| 761× | sqr-pow_binary64 |
| 637× | cube-prod_binary64 |
| 401× | unswap-sqr_binary64 |
| 368× | unpow3_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 81 |
| 1 | 69 | 75 |
| 2 | 176 | 71 |
| 3 | 510 | 67 |
| 4 | 1235 | 66 |
| 5 | 2128 | 64 |
| 6 | 3114 | 64 |
| 7 | 3407 | 64 |
| 8 | 3650 | 64 |
| 9 | 3956 | 64 |
| 10 | 4305 | 64 |
| 11 | 4765 | 64 |
| 12 | 5330 | 64 |
| 13 | 6033 | 64 |
| 14 | 6901 | 64 |
| 15 | 7373 | 64 |
| 16 | 7824 | 64 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/4 b)) |
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))) |
(+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))) |
2 |
(+.f64 2 b) |
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) |
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/4 b)) |
(fma.f64 -1/4 b 1/2) |
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))) |
(+.f64 1/2 (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b))) |
(+.f64 1/2 (fma.f64 -1/4 b (*.f64 1/48 (pow.f64 b 3)))) |
(fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) 1/2)) |
(+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))) |
(+.f64 1/2 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b)))) |
(+.f64 1/2 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 -1/4 b (*.f64 1/48 (pow.f64 b 3))))) |
(fma.f64 -1/480 (pow.f64 b 5) (fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) 1/2))) |
(fma.f64 b (fma.f64 b (*.f64 b 1/48) -1/4) (fma.f64 -1/480 (pow.f64 b 5) 1/2)) |
(fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) (fma.f64 -1/480 (pow.f64 b 5) 1/2))) |
2 |
(+.f64 2 b) |
(+.f64 b 2) |
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) |
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b)))) |
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b)) |
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) |
(fma.f64 (fma.f64 1/2 b 1) b 2) |
(fma.f64 b (fma.f64 1/2 b 1) 2) |
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) |
(fma.f64 1/6 (pow.f64 b 3) (+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))) |
(+.f64 (fma.f64 1/2 (*.f64 b b) b) (fma.f64 (pow.f64 b 3) 1/6 2)) |
(+.f64 2 (fma.f64 (pow.f64 b 3) 1/6 (fma.f64 1/2 (*.f64 b b) b))) |
(fma.f64 (pow.f64 b 3) 1/6 (fma.f64 (fma.f64 1/2 b 1) b 2)) |
(+.f64 b (fma.f64 (*.f64 b b) (fma.f64 b 1/6 1/2) 2)) |
(fma.f64 b (fma.f64 b (fma.f64 b 1/6 1/2) 1) 2) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (exp.f64 a)) |
| ✓ | 0.7b | (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
Compiled 17 to 9 computations (47.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | 0 | (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
| 1.0ms | a | @ | inf | (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
| 1.0ms | a | @ | -inf | (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
| 0.0ms | a | @ | 0 | (+.f64 1 (exp.f64 a)) |
| 0.0ms | a | @ | -inf | (+.f64 1 (exp.f64 a)) |
| 1× | batch-egg-rewrite |
| 669× | pow1_binary64 |
| 623× | add-log-exp_binary64 |
| 623× | log1p-expm1-u_binary64 |
| 623× | expm1-log1p-u_binary64 |
| 610× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 1 | 124 | 16 |
| 2 | 1679 | 16 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(+.f64 1 (exp.f64 a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(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) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 1)))))) (#(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) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (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 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 a) (+.f64 (neg.f64 (exp.f64 a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (exp.f64 a) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (pow.f64 (exp.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (neg.f64 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 a) 2) 1) (expm1.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1))))) |
| 1× | egg-herbie |
| 1219× | fma-def_binary64 |
| 761× | sqr-pow_binary64 |
| 637× | cube-prod_binary64 |
| 401× | unswap-sqr_binary64 |
| 368× | unpow3_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 79 |
| 1 | 73 | 73 |
| 2 | 185 | 71 |
| 3 | 516 | 66 |
| 4 | 1183 | 66 |
| 5 | 2069 | 64 |
| 6 | 3093 | 64 |
| 7 | 3409 | 64 |
| 8 | 3650 | 64 |
| 9 | 3956 | 64 |
| 10 | 4305 | 64 |
| 11 | 4765 | 64 |
| 12 | 5332 | 64 |
| 13 | 6034 | 64 |
| 14 | 6906 | 64 |
| 15 | 7380 | 64 |
| 16 | 7831 | 64 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 1/4 a)) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a)))) |
2 |
(+.f64 2 a) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3))))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 1/4 a)) |
(fma.f64 1/4 a 1/2) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (*.f64 1/4 a))) |
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2)) |
(fma.f64 1/4 a (fma.f64 -1/48 (pow.f64 a 3) 1/2)) |
(fma.f64 a (fma.f64 a (*.f64 a -1/48) 1/4) 1/2) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a)))) |
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (fma.f64 1/480 (pow.f64 a 5) (*.f64 1/4 a)))) |
(+.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2)) (*.f64 1/480 (pow.f64 a 5))) |
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a (fma.f64 1/480 (pow.f64 a 5) 1/2))) |
(fma.f64 1/480 (pow.f64 a 5) (fma.f64 1/4 a (fma.f64 -1/48 (pow.f64 a 3) 1/2))) |
(fma.f64 1/480 (pow.f64 a 5) (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))) |
(fma.f64 1/4 a (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/480 (pow.f64 a 5) 1/2))) |
2 |
(+.f64 2 a) |
(+.f64 a 2) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) |
(fma.f64 1/2 (*.f64 a a) (+.f64 a 2)) |
(fma.f64 (fma.f64 1/2 a 1) a 2) |
(fma.f64 a (fma.f64 1/2 a 1) 2) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3))))) |
(fma.f64 1/2 (*.f64 a a) (+.f64 2 (+.f64 a (*.f64 (pow.f64 a 3) 1/6)))) |
(+.f64 (fma.f64 (pow.f64 a 3) 1/6 a) (fma.f64 1/2 (*.f64 a a) 2)) |
(fma.f64 (*.f64 a a) (fma.f64 a 1/6 1/2) (+.f64 a 2)) |
(fma.f64 a (fma.f64 a (fma.f64 a 1/6 1/2) 1) 2) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) |
| ✓ | 0.0b | (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) |
| 0.0b | (+.f64 1 (exp.f64 a)) | |
| 0.7b | (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
Compiled 53 to 27 computations (49.1% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | a | @ | -inf | (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) |
| 5.0ms | a | @ | inf | (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) |
| 4.0ms | a | @ | 0 | (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) |
| 2.0ms | a | @ | inf | (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) |
| 2.0ms | a | @ | -inf | (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) |
| 1× | batch-egg-rewrite |
| 578× | log-prod_binary64 |
| 460× | prod-diff_binary64 |
| 292× | fma-def_binary64 |
| 285× | pow2_binary64 |
| 200× | log-div_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 38 |
| 1 | 242 | 32 |
| 2 | 3680 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) |
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 b (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 b (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (fma.f64 -1 (exp.f64 a) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (*.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b b)) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 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| 1× | egg-herbie |
| 834× | fma-def_binary64 |
| 587× | times-frac_binary64 |
| 440× | associate-+l+_binary64 |
| 427× | fma-neg_binary64 |
| 374× | associate-+r+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 1260 |
| 1 | 334 | 1155 |
| 2 | 1215 | 913 |
| 3 | 5787 | 821 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1/2 b) |
(+.f64 (*.f64 -1/2 b) (*.f64 1/4 (*.f64 a b))) |
(+.f64 (*.f64 -1/2 b) (+.f64 (*.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) (pow.f64 a 2)) (*.f64 1/4 (*.f64 a b)))) |
(+.f64 (*.f64 -1/2 b) (+.f64 (*.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) (pow.f64 a 2)) (+.f64 (*.f64 1/4 (*.f64 a b)) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) |
(+.f64 (*.f64 a (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) |
(+.f64 (*.f64 (pow.f64 a 2) (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (+.f64 (*.f64 1/4 b) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)))))) (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/8 (+.f64 (*.f64 -1/2 b) 1))))) (+.f64 (*.f64 a (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)))) |
(+.f64 (*.f64 (pow.f64 a 2) (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (+.f64 (*.f64 1/4 b) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)))))) (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/8 (+.f64 (*.f64 -1/2 b) 1))))) (+.f64 (*.f64 a (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) (*.f64 (pow.f64 a 3) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/8 b) (+.f64 (*.f64 1/6 (+.f64 (*.f64 -1/2 b) 1)) (+.f64 (*.f64 1/4 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))))) (+.f64 (*.f64 1/24 (+.f64 (*.f64 -1/2 b) 1)) (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) (*.f64 1/4 b))))) (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/8 (+.f64 (*.f64 -1/2 b) 1))))) (*.f64 1/4 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1))))))))))) |
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 1 (exp.f64 a))) |
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 1 (exp.f64 a))) |
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 1 (exp.f64 a))) |
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 1 (exp.f64 a))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (exp.f64 a)) (+.f64 1 (exp.f64 a))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (exp.f64 a)) (+.f64 1 (exp.f64 a))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (exp.f64 a)) (+.f64 1 (exp.f64 a))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (exp.f64 a)) (+.f64 1 (exp.f64 a))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) |
(*.f64 -1/2 b) |
(*.f64 b -1/2) |
(+.f64 (*.f64 -1/2 b) (*.f64 1/4 (*.f64 a b))) |
(fma.f64 -1/2 b (*.f64 1/4 (*.f64 b a))) |
(*.f64 b (+.f64 -1/2 (*.f64 a 1/4))) |
(*.f64 b (fma.f64 a 1/4 -1/2)) |
(+.f64 (*.f64 -1/2 b) (+.f64 (*.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) (pow.f64 a 2)) (*.f64 1/4 (*.f64 a b)))) |
(fma.f64 -1/2 b (*.f64 1/4 (*.f64 b a))) |
(*.f64 b (+.f64 -1/2 (*.f64 a 1/4))) |
(*.f64 b (fma.f64 a 1/4 -1/2)) |
(+.f64 (*.f64 -1/2 b) (+.f64 (*.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) (pow.f64 a 2)) (+.f64 (*.f64 1/4 (*.f64 a b)) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))))) |
(fma.f64 -1/2 b (fma.f64 (*.f64 b 0) (*.f64 a a) (fma.f64 1/4 (*.f64 b a) (*.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (*.f64 -1/2 (*.f64 b 0)))))))) |
(fma.f64 b -1/2 (fma.f64 (*.f64 a a) 0 (fma.f64 1/4 (*.f64 b a) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48)))))) |
(+.f64 (*.f64 b (fma.f64 a 1/4 -1/2)) (*.f64 b (*.f64 -1/48 (pow.f64 a 3)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(*.f64 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(*.f64 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(*.f64 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) |
(neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b))) |
(/.f64 (*.f64 (neg.f64 b) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) |
(*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (neg.f64 b)) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(*.f64 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(*.f64 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(*.f64 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) |
(neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b))) |
(/.f64 (*.f64 (neg.f64 b) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) |
(*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (neg.f64 b)) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(*.f64 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(*.f64 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(*.f64 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a)))) |
(*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) |
(*.f64 1/2 (fma.f64 -1/2 b 1)) |
(+.f64 1/2 (*.f64 b -1/4)) |
(fma.f64 b -1/4 1/2) |
(+.f64 (*.f64 a (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) |
(fma.f64 a (+.f64 (*.f64 1/2 (+.f64 (fma.f64 -1/2 b 1) (*.f64 b 1/4))) (*.f64 -1/4 (fma.f64 -1/2 b 1))) (*.f64 1/2 (fma.f64 -1/2 b 1))) |
(fma.f64 a (fma.f64 1/2 (fma.f64 b -1/2 (fma.f64 b 1/4 1)) (*.f64 (fma.f64 b -1/2 1) -1/4)) (+.f64 1/2 (*.f64 b -1/4))) |
(fma.f64 a 1/4 (fma.f64 b -1/4 1/2)) |
(+.f64 (*.f64 (pow.f64 a 2) (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (+.f64 (*.f64 1/4 b) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)))))) (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/8 (+.f64 (*.f64 -1/2 b) 1))))) (+.f64 (*.f64 a (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)))) |
(fma.f64 (*.f64 a a) (-.f64 (*.f64 1/2 (+.f64 (*.f64 b 0) (fma.f64 1/4 b (*.f64 1/2 (fma.f64 -1/2 b 1))))) (fma.f64 1/2 (+.f64 (*.f64 1/2 (+.f64 (fma.f64 -1/2 b 1) (*.f64 b 1/4))) (*.f64 -1/4 (fma.f64 -1/2 b 1))) (*.f64 1/8 (fma.f64 -1/2 b 1)))) (fma.f64 a (+.f64 (*.f64 1/2 (+.f64 (fma.f64 -1/2 b 1) (*.f64 b 1/4))) (*.f64 -1/4 (fma.f64 -1/2 b 1))) (*.f64 1/2 (fma.f64 -1/2 b 1)))) |
(fma.f64 (*.f64 a a) (-.f64 (*.f64 1/2 (-.f64 (+.f64 (fma.f64 b 1/4 0) (+.f64 1/2 (*.f64 b -1/4))) (fma.f64 1/2 (fma.f64 b -1/2 (fma.f64 b 1/4 1)) (*.f64 (fma.f64 b -1/2 1) -1/4)))) (+.f64 1/8 (*.f64 b -1/16))) (fma.f64 a (fma.f64 1/2 (fma.f64 b -1/2 (fma.f64 b 1/4 1)) (*.f64 (fma.f64 b -1/2 1) -1/4)) (+.f64 1/2 (*.f64 b -1/4)))) |
(fma.f64 a 1/4 (fma.f64 (*.f64 a a) (fma.f64 b 1/16 0) (fma.f64 b -1/4 1/2))) |
(fma.f64 (*.f64 a a) (*.f64 b 1/16) (fma.f64 a 1/4 (fma.f64 b -1/4 1/2))) |
(+.f64 (*.f64 (pow.f64 a 2) (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (+.f64 (*.f64 1/4 b) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)))))) (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/8 (+.f64 (*.f64 -1/2 b) 1))))) (+.f64 (*.f64 a (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) (*.f64 (pow.f64 a 3) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/8 b) (+.f64 (*.f64 1/6 (+.f64 (*.f64 -1/2 b) 1)) (+.f64 (*.f64 1/4 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))))) (+.f64 (*.f64 1/24 (+.f64 (*.f64 -1/2 b) 1)) (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) (*.f64 1/4 b))))) (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/8 (+.f64 (*.f64 -1/2 b) 1))))) (*.f64 1/4 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1))))))))))) |
(fma.f64 (*.f64 a a) (-.f64 (*.f64 1/2 (+.f64 (*.f64 b 0) (fma.f64 1/4 b (*.f64 1/2 (fma.f64 -1/2 b 1))))) (fma.f64 1/2 (+.f64 (*.f64 1/2 (+.f64 (fma.f64 -1/2 b 1) (*.f64 b 1/4))) (*.f64 -1/4 (fma.f64 -1/2 b 1))) (*.f64 1/8 (fma.f64 -1/2 b 1)))) (fma.f64 a (+.f64 (*.f64 1/2 (+.f64 (fma.f64 -1/2 b 1) (*.f64 b 1/4))) (*.f64 -1/4 (fma.f64 -1/2 b 1))) (fma.f64 1/2 (fma.f64 -1/2 b 1) (*.f64 (pow.f64 a 3) (-.f64 (*.f64 1/2 (fma.f64 -1/16 b (fma.f64 1/24 b (fma.f64 -1/8 b (fma.f64 1/6 (fma.f64 -1/2 b 1) (fma.f64 1/4 b (*.f64 -1/2 (*.f64 b 0)))))))) (fma.f64 1/24 (fma.f64 -1/2 b 1) (fma.f64 1/2 (-.f64 (*.f64 1/2 (+.f64 (*.f64 b 0) (fma.f64 1/4 b (*.f64 1/2 (fma.f64 -1/2 b 1))))) (fma.f64 1/2 (+.f64 (*.f64 1/2 (+.f64 (fma.f64 -1/2 b 1) (*.f64 b 1/4))) (*.f64 -1/4 (fma.f64 -1/2 b 1))) (*.f64 1/8 (fma.f64 -1/2 b 1)))) (*.f64 1/4 (+.f64 (*.f64 1/2 (+.f64 (fma.f64 -1/2 b 1) (*.f64 b 1/4))) (*.f64 -1/4 (fma.f64 -1/2 b 1))))))))))) |
(fma.f64 (*.f64 a a) (-.f64 (*.f64 1/2 (-.f64 (+.f64 (fma.f64 b 1/4 0) (+.f64 1/2 (*.f64 b -1/4))) (fma.f64 1/2 (fma.f64 b -1/2 (fma.f64 b 1/4 1)) (*.f64 (fma.f64 b -1/2 1) -1/4)))) (+.f64 1/8 (*.f64 b -1/16))) (fma.f64 a (fma.f64 1/2 (fma.f64 b -1/2 (fma.f64 b 1/4 1)) (*.f64 (fma.f64 b -1/2 1) -1/4)) (fma.f64 (pow.f64 a 3) (-.f64 (*.f64 1/2 (+.f64 (fma.f64 b -1/8 (fma.f64 (fma.f64 b -1/2 1) 1/6 (fma.f64 b 1/4 0))) (*.f64 b -1/48))) (fma.f64 1/24 (fma.f64 b -1/2 1) (fma.f64 1/2 (-.f64 (*.f64 1/2 (-.f64 (+.f64 (fma.f64 b 1/4 0) (+.f64 1/2 (*.f64 b -1/4))) (fma.f64 1/2 (fma.f64 b -1/2 (fma.f64 b 1/4 1)) (*.f64 (fma.f64 b -1/2 1) -1/4)))) (+.f64 1/8 (*.f64 b -1/16))) (*.f64 1/4 (fma.f64 1/2 (fma.f64 b -1/2 (fma.f64 b 1/4 1)) (*.f64 (fma.f64 b -1/2 1) -1/4)))))) (+.f64 1/2 (*.f64 b -1/4))))) |
(fma.f64 a 1/4 (fma.f64 a (*.f64 a (fma.f64 b 1/16 0)) (fma.f64 (pow.f64 a 3) (fma.f64 1/2 (fma.f64 b -1/12 (+.f64 (fma.f64 b -1/12 1/6) (*.f64 b 3/16))) (-.f64 -1/16 (fma.f64 1/2 (fma.f64 b 1/16 0) (fma.f64 b -1/48 1/24)))) (fma.f64 b -1/4 1/2)))) |
(fma.f64 a 1/4 (fma.f64 a (*.f64 a (*.f64 b 1/16)) (fma.f64 (pow.f64 a 3) (fma.f64 b -1/32 (+.f64 (+.f64 (*.f64 1/2 (fma.f64 b -1/12 (fma.f64 b 1/4 (fma.f64 b -1/12 1/6)))) (*.f64 b -1/96)) -5/48)) (fma.f64 b -1/4 1/2)))) |
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 1 (exp.f64 a))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(*.f64 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a)))) |
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 1 (exp.f64 a))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(*.f64 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a)))) |
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 1 (exp.f64 a))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(*.f64 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a)))) |
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 1 (exp.f64 a))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(*.f64 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a)))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (exp.f64 a)) (+.f64 1 (exp.f64 a))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(*.f64 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a)))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (exp.f64 a)) (+.f64 1 (exp.f64 a))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(*.f64 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a)))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (exp.f64 a)) (+.f64 1 (exp.f64 a))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(*.f64 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a)))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (exp.f64 a)) (+.f64 1 (exp.f64 a))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(*.f64 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (exp.f64 a) (exp.f64 b)) | |
| ✓ | 0.0b | (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) |
| ✓ | 0.4b | (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3) |
| 1.0b | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 42 to 10 computations (76.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | a | @ | 0 | (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3) |
| 6.0ms | a | @ | -inf | (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3) |
| 6.0ms | b | @ | 0 | (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3) |
| 4.0ms | b | @ | -inf | (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3) |
| 3.0ms | a | @ | inf | (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3) |
| 1× | batch-egg-rewrite |
| 485× | prod-diff_binary64 |
| 455× | log-prod_binary64 |
| 340× | exp-prod_binary64 |
| 295× | pow-prod-down_binary64 |
| 246× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 28 |
| 1 | 215 | 28 |
| 2 | 2622 | 28 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3) |
(cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))))) (#(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 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 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(exp.f64 a) (exp.f64 b)))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1) 1)))))) |
| 1× | egg-herbie |
| 737× | associate-+l+_binary64 |
| 434× | times-frac_binary64 |
| 264× | associate-*r*_binary64 |
| 255× | associate-/l*_binary64 |
| 251× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 259 | 5501 |
| 1 | 915 | 5441 |
| 2 | 3719 | 4939 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (*.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
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(*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) |
(*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) |
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/3) |
(+.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) 1/9) (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) |
(+.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) 1/3) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (+.f64 1 (exp.f64 b))) 1/9) (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 2)))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) 1/9) (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))) |
(+.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) 1/3) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (+.f64 1 (exp.f64 b))) 1/9) (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) 1/9) (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) 1/3) (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) 1/3) (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5)) 1/9) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (+.f64 1 (exp.f64 b))) 1/9) (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))))) (pow.f64 a 3))))))) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/3) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/3) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/3) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/3) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/3) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/3) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/3) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/3) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) 1/3) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (exp.f64 a) 7)) (pow.f64 (+.f64 1 (exp.f64 a)) 16)) 1/9) b)) (pow.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) 1/3)) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (exp.f64 a) 7)) (pow.f64 (+.f64 1 (exp.f64 a)) 16)) 1/9) b)) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (exp.f64 a) 17)) (pow.f64 (+.f64 1 (exp.f64 a)) 35)) 1/9)) (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 2)) (pow.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) 1) (pow.f64 (exp.f64 a) 2)) 1/3))) (pow.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) 1/3))) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) 1) (pow.f64 (exp.f64 a) 2)) 1/3) (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (exp.f64 a) 7)) (pow.f64 (+.f64 1 (exp.f64 a)) 16)) 1/3)) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (exp.f64 a) 4)) (pow.f64 (+.f64 1 (exp.f64 a)) 13)) 1/9) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (exp.f64 a) 17)) (pow.f64 (+.f64 1 (exp.f64 a)) 35)) 1/9)) (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))) (pow.f64 b 3)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (exp.f64 a) 7)) (pow.f64 (+.f64 1 (exp.f64 a)) 16)) 1/9) b)) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (exp.f64 a) 17)) (pow.f64 (+.f64 1 (exp.f64 a)) 35)) 1/9)) (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 2)) (pow.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) 1) (pow.f64 (exp.f64 a) 2)) 1/3))) (pow.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) 1/3)))) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/3) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/3) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/3) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/3) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/3) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/3) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/3) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/3) |
| Outputs |
|---|
(*.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (*.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(fma.f64 a (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/18)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) 1) (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(fma.f64 a (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/18)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(fma.f64 a (*.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/18)) (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (+.f64 1 (exp.f64 b))) 1/9) (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (*.f64 1 (+.f64 1 (exp.f64 b))) 1/9) (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2))) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9) (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (+.f64 1 (exp.f64 b))) 1/3) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (+.f64 1 (exp.f64 b))) 1/9) (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))) (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/3))))))) |
(+.f64 (fma.f64 a (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/18)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) 1) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 a a) (+.f64 (*.f64 1/3 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 1/18) (pow.f64 (+.f64 1 (exp.f64 b)) 1/18)) (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 1/18) (pow.f64 (+.f64 1 (exp.f64 b)) 1/18)) (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (*.f64 (fma.f64 1/9 (*.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2) (*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4) 1/18) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4) 1/18))) (*.f64 (*.f64 2/3 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 1/18) (pow.f64 (+.f64 1 (exp.f64 b)) 1/18)) (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))))) |
(fma.f64 a (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/18)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (fma.f64 (*.f64 a a) (fma.f64 1/3 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 1/18) (pow.f64 (+.f64 1 (exp.f64 b)) 1/18)) (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 1/18) (pow.f64 (+.f64 1 (exp.f64 b)) 1/18)) (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) 2/9 (*.f64 (fma.f64 1/9 (*.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2) (*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4) 1/18) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4) 1/18))) (*.f64 2/3 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 1/18) (pow.f64 (+.f64 1 (exp.f64 b)) 1/18)) (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (cbrt.f64 (+.f64 1 (exp.f64 b)))))) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(fma.f64 a (*.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/18)) (fma.f64 (*.f64 a a) (fma.f64 1/3 (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 (*.f64 1/3 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 1/18) (pow.f64 (+.f64 1 (exp.f64 b)) 1/18))) (pow.f64 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (fma.f64 (*.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 1/18) (pow.f64 (+.f64 1 (exp.f64 b)) 1/18)) (pow.f64 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2)) 2/9 (*.f64 (fma.f64 1/9 (*.f64 (pow.f64 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2) (*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4) 1/18) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4) 1/18))) (*.f64 (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 (*.f64 1/3 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 1/18) (pow.f64 (+.f64 1 (exp.f64 b)) 1/18))) (pow.f64 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (*.f64 2/3 (cbrt.f64 (+.f64 1 (exp.f64 b)))))) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
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(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/3) |
(cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
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(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/3) |
(cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/3) |
(cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/3) |
(cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/3) |
(cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/3) |
(cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/3) |
(cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/3) |
(cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/3) |
(cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) 1/3) |
(cbrt.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) |
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(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (exp.f64 a) 7)) (pow.f64 (+.f64 1 (exp.f64 a)) 16)) 1/9) b)) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (exp.f64 a) 17)) (pow.f64 (+.f64 1 (exp.f64 a)) 35)) 1/9)) (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 2)) (pow.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) 1) (pow.f64 (exp.f64 a) 2)) 1/3))) (pow.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) 1/3))) |
(fma.f64 -1/3 (*.f64 b (*.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 7) (pow.f64 (+.f64 1 (exp.f64 a)) 16)) 1/18) (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 7) (pow.f64 (+.f64 1 (exp.f64 a)) 16)) 1/18))) (fma.f64 -1/3 (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 17) (pow.f64 (+.f64 1 (exp.f64 a)) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 17) (pow.f64 (+.f64 1 (exp.f64 a)) 35)) 1/18)) (fma.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (*.f64 (*.f64 b b) (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (exp.f64 a) 2))))) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))))) |
(fma.f64 -1/3 (*.f64 b (*.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 7) (pow.f64 (+.f64 1 (exp.f64 a)) 16)) 1/18) (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 7) (pow.f64 (+.f64 1 (exp.f64 a)) 16)) 1/18))) (fma.f64 -1/3 (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 17) (pow.f64 (+.f64 1 (exp.f64 a)) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 17) (pow.f64 (+.f64 1 (exp.f64 a)) 35)) 1/18)) (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 b (*.f64 b (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (exp.f64 a) 2)))))) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))))) |
(fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 7) (pow.f64 (+.f64 1 (exp.f64 a)) 16)) 1/18) (*.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 7) (pow.f64 (+.f64 1 (exp.f64 a)) 16)) 1/18) b)) (fma.f64 -1/3 (*.f64 (*.f64 b b) (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 17) (pow.f64 (+.f64 1 (exp.f64 a)) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 17) (pow.f64 (+.f64 1 (exp.f64 a)) 35)) 1/18)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (-.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (exp.f64 a) 2))))) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))))) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) 1) (pow.f64 (exp.f64 a) 2)) 1/3) (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (exp.f64 a) 7)) (pow.f64 (+.f64 1 (exp.f64 a)) 16)) 1/3)) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (exp.f64 a) 4)) (pow.f64 (+.f64 1 (exp.f64 a)) 13)) 1/9) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (exp.f64 a) 17)) (pow.f64 (+.f64 1 (exp.f64 a)) 35)) 1/9)) (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))) (pow.f64 b 3)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (exp.f64 a) 7)) (pow.f64 (+.f64 1 (exp.f64 a)) 16)) 1/9) b)) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (exp.f64 a) 17)) (pow.f64 (+.f64 1 (exp.f64 a)) 35)) 1/9)) (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 2)) (pow.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) 1) (pow.f64 (exp.f64 a) 2)) 1/3))) (pow.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) 1/3)))) |
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (exp.f64 a) 2))) (*.f64 (fma.f64 -1 (/.f64 (fma.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (+.f64 1 (exp.f64 a))) (fma.f64 -1/27 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 7) (pow.f64 (+.f64 1 (exp.f64 a)) 16))) (fma.f64 2/3 (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 17) (pow.f64 (+.f64 1 (exp.f64 a)) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 17) (pow.f64 (+.f64 1 (exp.f64 a)) 35)) 1/18)) (fma.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (*.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 4) (pow.f64 (+.f64 1 (exp.f64 a)) 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 4) (pow.f64 (+.f64 1 (exp.f64 a)) 13)) 1/18))) (fma.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 (*.f64 1/6 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (pow.f64 b 3))) (fma.f64 -1/3 (*.f64 b (*.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 7) (pow.f64 (+.f64 1 (exp.f64 a)) 16)) 1/18) (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 7) (pow.f64 (+.f64 1 (exp.f64 a)) 16)) 1/18))) (fma.f64 -1/3 (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 17) (pow.f64 (+.f64 1 (exp.f64 a)) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 17) (pow.f64 (+.f64 1 (exp.f64 a)) 35)) 1/18)) (fma.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (*.f64 (*.f64 b b) (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (exp.f64 a) 2))))) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))))) |
(fma.f64 -1/3 (*.f64 (-.f64 (fma.f64 -1/27 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 7) (pow.f64 (+.f64 1 (exp.f64 a)) 16))) (fma.f64 (*.f64 (*.f64 2/3 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 4) (pow.f64 (+.f64 1 (exp.f64 a)) 13)) 1/18)) (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 4) (pow.f64 (+.f64 1 (exp.f64 a)) 13)) 1/18)) (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 17) (pow.f64 (+.f64 1 (exp.f64 a)) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 17) (pow.f64 (+.f64 1 (exp.f64 a)) 35)) 1/18)) (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) -1/2 (*.f64 (/.f64 1/6 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (exp.f64 a))))) (/.f64 (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (+.f64 1 (exp.f64 a)))) (*.f64 (pow.f64 b 3) (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (exp.f64 a) 2))))) (fma.f64 -1/3 (*.f64 b (*.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 7) (pow.f64 (+.f64 1 (exp.f64 a)) 16)) 1/18) (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 7) (pow.f64 (+.f64 1 (exp.f64 a)) 16)) 1/18))) (fma.f64 -1/3 (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 17) (pow.f64 (+.f64 1 (exp.f64 a)) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 17) (pow.f64 (+.f64 1 (exp.f64 a)) 35)) 1/18)) (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 b (*.f64 b (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (exp.f64 a) 2)))))) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))))) |
(fma.f64 -1/3 (*.f64 (-.f64 (fma.f64 -1/27 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 7) (pow.f64 (+.f64 1 (exp.f64 a)) 16))) (fma.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 4) (pow.f64 (+.f64 1 (exp.f64 a)) 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 4) (pow.f64 (+.f64 1 (exp.f64 a)) 13)) 1/18))) (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 17) (pow.f64 (+.f64 1 (exp.f64 a)) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 17) (pow.f64 (+.f64 1 (exp.f64 a)) 35)) 1/18)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (-.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1/2 (+.f64 1 (exp.f64 a))) 1/6)))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (-.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a))))) (+.f64 1 (exp.f64 a)))) (*.f64 (pow.f64 b 3) (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (exp.f64 a) 2))))) (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 7) (pow.f64 (+.f64 1 (exp.f64 a)) 16)) 1/18) (*.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 7) (pow.f64 (+.f64 1 (exp.f64 a)) 16)) 1/18) b)) (fma.f64 -1/3 (*.f64 (*.f64 b b) (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 17) (pow.f64 (+.f64 1 (exp.f64 a)) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (exp.f64 a) 17) (pow.f64 (+.f64 1 (exp.f64 a)) 35)) 1/18)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (-.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 a)))))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (exp.f64 a) 2))))) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))))) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/3) |
(cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/3) |
(cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/3) |
(cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/3) |
(cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/3) |
(cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/3) |
(cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/3) |
(cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/3) |
(cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) |
Compiled 25385 to 14259 computations (43.8% saved)
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 940 | 9 | 949 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 2 | 4 |
| Total | 943 | 11 | 954 |
| Status | Error | Program |
|---|---|---|
| ✓ | 21.0b | (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
| 22.1b | (/.f64 (exp.f64 a) 2) | |
| 20.7b | (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) | |
| ✓ | 12.5b | (/.f64 1 (+.f64 1 (exp.f64 b))) |
| ▶ | 39.3b | (+.f64 1/2 (*.f64 -1/4 b)) |
| ▶ | 12.6b | (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1) |
| 37.8b | (+.f64 1/2 (*.f64 1/4 a)) | |
| ▶ | 12.8b | (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2) |
| ▶ | 38.0b | (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
| 38.0b | 1/2 | |
| ▶ | 39.2b | (/.f64 1 (+.f64 b 2)) |
Compiled 160 to 136 computations (15% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
| 0.0b | (+.f64 1 (exp.f64 b)) | |
| 0.0b | (/.f64 1 (+.f64 1 (exp.f64 b))) | |
| ✓ | 0.1b | (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1) |
Compiled 34 to 24 computations (29.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | b | @ | 0 | (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1) |
| 0.0ms | b | @ | inf | (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1) |
| 0.0ms | b | @ | 0 | (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
| 0.0ms | b | @ | inf | (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
| 0.0ms | b | @ | -inf | (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
| 1× | batch-egg-rewrite |
| 930× | pow1_binary64 |
| 871× | add-log-exp_binary64 |
| 871× | log1p-expm1-u_binary64 |
| 871× | expm1-log1p-u_binary64 |
| 96× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 27 |
| 1 | 183 | 21 |
| 2 | 2685 | 21 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1) |
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 (neg.f64 (log1p.f64 (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 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2) -1) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 2)))))) (#(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 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(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 fma.f64 1 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (+.f64 1 (exp.f64 b)))) (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -3)) (-.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -3)) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -3))) (neg.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (neg.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 1) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -3)) 1) (-.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1))))) |
| 1× | egg-herbie |
| 780× | sqr-pow_binary64 |
| 708× | cube-prod_binary64 |
| 675× | fabs-mul_binary64 |
| 660× | pow-sqr_binary64 |
| 521× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 158 |
| 1 | 63 | 154 |
| 2 | 140 | 146 |
| 3 | 360 | 146 |
| 4 | 654 | 146 |
| 5 | 1192 | 146 |
| 6 | 1679 | 146 |
| 7 | 2315 | 146 |
| 8 | 2422 | 146 |
| 9 | 2584 | 146 |
| 10 | 2797 | 146 |
| 11 | 3127 | 146 |
| 12 | 3583 | 146 |
| 13 | 4181 | 146 |
| 14 | 4935 | 146 |
| 15 | 5871 | 146 |
| 16 | 6377 | 146 |
| 17 | 6865 | 146 |
| 18 | 7261 | 146 |
| 19 | 7581 | 146 |
| 20 | 7739 | 146 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/4 b)) |
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))) |
(+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
3/2 |
(+.f64 3/2 (*.f64 -1/4 b)) |
(+.f64 3/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))) |
(+.f64 3/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/4 b)) |
(fma.f64 -1/4 b 1/2) |
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))) |
(+.f64 1/2 (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b))) |
(+.f64 1/2 (fma.f64 -1/4 b (*.f64 1/48 (pow.f64 b 3)))) |
(fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) 1/2)) |
(fma.f64 b (fma.f64 1/48 (*.f64 b b) -1/4) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))) |
(+.f64 1/2 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b)))) |
(+.f64 (fma.f64 -1/480 (pow.f64 b 5) (*.f64 1/48 (pow.f64 b 3))) (fma.f64 -1/4 b 1/2)) |
(fma.f64 -1/480 (pow.f64 b 5) (fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) 1/2))) |
(fma.f64 -1/4 b (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 1/48 (pow.f64 b 3) 1/2))) |
(fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) (fma.f64 -1/480 (pow.f64 b 5) 1/2))) |
(fma.f64 b (fma.f64 b (*.f64 b 1/48) -1/4) (fma.f64 -1/480 (pow.f64 b 5) 1/2)) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
3/2 |
(+.f64 3/2 (*.f64 -1/4 b)) |
(+.f64 (*.f64 -1/4 b) 3/2) |
(fma.f64 -1/4 b 3/2) |
(+.f64 3/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))) |
(+.f64 (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b)) 3/2) |
(+.f64 (*.f64 1/48 (pow.f64 b 3)) (fma.f64 -1/4 b 3/2)) |
(fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) 3/2)) |
(fma.f64 b (fma.f64 b (*.f64 b 1/48) -1/4) 3/2) |
(fma.f64 b (fma.f64 1/48 (*.f64 b b) -1/4) 3/2) |
(+.f64 3/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))) |
(+.f64 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b))) 3/2) |
(+.f64 (fma.f64 -1/480 (pow.f64 b 5) (*.f64 1/48 (pow.f64 b 3))) (fma.f64 -1/4 b 3/2)) |
(fma.f64 -1/480 (pow.f64 b 5) (fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) 3/2))) |
(fma.f64 -1/4 b (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 1/48 (pow.f64 b 3) 3/2))) |
(fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) (fma.f64 -1/480 (pow.f64 b 5) 3/2))) |
(fma.f64 b (fma.f64 1/48 (*.f64 b b) -1/4) (fma.f64 -1/480 (pow.f64 b 5) 3/2)) |
Compiled 13 to 10 computations (23.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (+.f64 b 2)) |
Compiled 13 to 10 computations (23.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | b | @ | -inf | (/.f64 1 (+.f64 b 2)) |
| 1.0ms | b | @ | inf | (/.f64 1 (+.f64 b 2)) |
| 1.0ms | b | @ | 0 | (/.f64 1 (+.f64 b 2)) |
| 1× | batch-egg-rewrite |
| 611× | pow1_binary64 |
| 573× | add-log-exp_binary64 |
| 572× | log1p-expm1-u_binary64 |
| 572× | expm1-log1p-u_binary64 |
| 563× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 130 | 7 |
| 2 | 1573 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 b 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 b 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -2 (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 b 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 b 2)) -1) (pow.f64 (sqrt.f64 (+.f64 b 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (fma.f64 b b (-.f64 4 (*.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 b b -4)) (+.f64 b -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 b 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 b 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b 2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 b 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 b 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 b 2)))))))) |
| 1× | egg-herbie |
| 752× | distribute-neg-frac_binary64 |
| 701× | associate-*l*_binary64 |
| 700× | fma-def_binary64 |
| 483× | associate-*r*_binary64 |
| 415× | times-frac_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 183 |
| 1 | 88 | 181 |
| 2 | 217 | 177 |
| 3 | 577 | 171 |
| 4 | 1835 | 170 |
| 5 | 7178 | 170 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/4 b)) |
(+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))) |
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))) |
(/.f64 1 b) |
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4))))) |
(/.f64 1 b) |
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4))))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/4 b)) |
(fma.f64 -1/4 b 1/2) |
(+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))) |
(+.f64 1/2 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b))) |
(+.f64 1/2 (fma.f64 -1/4 b (*.f64 b (*.f64 b 1/8)))) |
(fma.f64 -1/4 b (fma.f64 b (*.f64 b 1/8) 1/2)) |
(fma.f64 b (fma.f64 b 1/8 -1/4) 1/2) |
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))) |
(fma.f64 -1/16 (pow.f64 b 3) (+.f64 1/2 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b)))) |
(+.f64 (fma.f64 -1/4 b (*.f64 b (*.f64 b 1/8))) (fma.f64 -1/16 (pow.f64 b 3) 1/2)) |
(fma.f64 -1/16 (pow.f64 b 3) (fma.f64 -1/4 b (fma.f64 b (*.f64 b 1/8) 1/2))) |
(fma.f64 -1/16 (pow.f64 b 3) (fma.f64 b (fma.f64 b 1/8 -1/4) 1/2)) |
(fma.f64 b (+.f64 -1/4 (*.f64 b (fma.f64 b -1/16 1/8))) 1/2) |
(/.f64 1 b) |
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b))) |
(-.f64 (/.f64 1 b) (/.f64 (/.f64 2 b) b)) |
(+.f64 (/.f64 1 b) (/.f64 (/.f64 -2 b) b)) |
(+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b))) |
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b)) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))) |
(+.f64 (-.f64 (/.f64 1 b) (/.f64 (/.f64 2 b) b)) (/.f64 4 (pow.f64 b 3))) |
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 -2 b) b))) |
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4))))) |
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 8 (pow.f64 b 4))))) |
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (+.f64 (/.f64 (/.f64 2 b) b) (/.f64 8 (pow.f64 b 4))))) |
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (+.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -8 (pow.f64 b 4))))) |
(+.f64 (+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b))) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -8 (pow.f64 b 4)))) |
(+.f64 (/.f64 1 b) (-.f64 (/.f64 -8 (pow.f64 b 4)) (-.f64 (/.f64 (/.f64 2 b) b) (/.f64 4 (pow.f64 b 3))))) |
(/.f64 1 b) |
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b))) |
(-.f64 (/.f64 1 b) (/.f64 (/.f64 2 b) b)) |
(+.f64 (/.f64 1 b) (/.f64 (/.f64 -2 b) b)) |
(+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b))) |
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b)) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))) |
(+.f64 (-.f64 (/.f64 1 b) (/.f64 (/.f64 2 b) b)) (/.f64 4 (pow.f64 b 3))) |
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 -2 b) b))) |
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4))))) |
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 8 (pow.f64 b 4))))) |
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (+.f64 (/.f64 (/.f64 2 b) b) (/.f64 8 (pow.f64 b 4))))) |
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (+.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -8 (pow.f64 b 4))))) |
(+.f64 (+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b))) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -8 (pow.f64 b 4)))) |
(+.f64 (/.f64 1 b) (-.f64 (/.f64 -8 (pow.f64 b 4)) (-.f64 (/.f64 (/.f64 2 b) b) (/.f64 4 (pow.f64 b 3))))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
| ✓ | 0.1b | (*.f64 -1/48 (pow.f64 a 3)) |
Compiled 34 to 27 computations (20.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | 0 | (*.f64 -1/48 (pow.f64 a 3)) |
| 1.0ms | a | @ | inf | (*.f64 -1/48 (pow.f64 a 3)) |
| 1.0ms | a | @ | -inf | (*.f64 -1/48 (pow.f64 a 3)) |
| 1.0ms | a | @ | inf | (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
| 1.0ms | a | @ | 0 | (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
| 1× | batch-egg-rewrite |
| 492× | log-prod_binary64 |
| 418× | fma-def_binary64 |
| 327× | pow-prod-down_binary64 |
| 295× | pow2_binary64 |
| 234× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 21 |
| 1 | 252 | 19 |
| 2 | 3121 | 19 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/48 (pow.f64 a 3)) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/48 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/48 (pow.f64 a 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a 6) 1/2304) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (cbrt.f64 -1/48)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -1/48) (pow.f64 a 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a 9) -1/110592) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 a 6) 1/2304))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 9) -1/110592))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (cbrt.f64 -1/48))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 -1/48) (pow.f64 a 3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 a 9) -1/110592)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48)) 3) 1/3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 a 6) 1/2304) (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))) (/.f64 (pow.f64 (fma.f64 a 1/4 1/2) 2) (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) (pow.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 2) (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) (sqrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 a 9) -1/110592 (pow.f64 (fma.f64 a 1/4 1/2) 3)) (/.f64 1 (fma.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))) (*.f64 (pow.f64 a 6) 1/2304))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)) (/.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))) (*.f64 (pow.f64 a 6) 1/2304)) (fma.f64 (pow.f64 a 9) -1/110592 (pow.f64 (fma.f64 a 1/4 1/2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2)) (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 a 9) -1/110592 (pow.f64 (fma.f64 a 1/4 1/2) 3)) (fma.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))) (*.f64 (pow.f64 a 6) 1/2304)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 a 9) -1/110592 (pow.f64 (fma.f64 a 1/4 1/2) 3)) (+.f64 (pow.f64 (fma.f64 a 1/4 1/2) 2) (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (*.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2)) (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 a 9) -1/110592 (pow.f64 (fma.f64 a 1/4 1/2) 3))) (neg.f64 (fma.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))) (*.f64 (pow.f64 a 6) 1/2304))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2))) (neg.f64 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2) 3) (pow.f64 (*.f64 a 1/4) 3)) (+.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2) 2) (-.f64 (*.f64 1/16 (*.f64 a a)) (*.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2) (*.f64 a 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 a 1/4 1/2) 2) (*.f64 (pow.f64 a 6) 1/2304)) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2) 2) (*.f64 1/16 (*.f64 a a))) (-.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2) (*.f64 a 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (fma.f64 a 1/4 1/2) (-.f64 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))) (*.f64 (pow.f64 a 6) 1/2304)) (fma.f64 (pow.f64 a 9) -1/110592 (pow.f64 (fma.f64 a 1/4 1/2) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2)) (-.f64 (*.f64 (pow.f64 a 6) 1/2304) (pow.f64 (fma.f64 a 1/4 1/2) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3)))) (exp.f64 (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3)) (+.f64 1 (expm1.f64 (fma.f64 a 1/4 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3)))) (+.f64 1 (expm1.f64 (fma.f64 a 1/4 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 a) 1/4) (exp.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a 1/4))) (exp.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 a 1/4 1/2))) (pow.f64 (exp.f64 -1/48) (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 a 1/4 1/2)) (+.f64 1 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 a 1/4 1/2))) (+.f64 1 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2)) (+.f64 1 (expm1.f64 (*.f64 a 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1/4 (fma.f64 -1/48 (pow.f64 a 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 (*.f64 a a) -1/48) (fma.f64 a 1/4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3) -1/48 (fma.f64 a 1/4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/48 (pow.f64 a 3)) 1 (fma.f64 a 1/4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/4 a (fma.f64 -1/48 (pow.f64 a 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a 1/4) 1 (fma.f64 -1/48 (pow.f64 a 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 a 1/4 1/2) 1 (*.f64 -1/48 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a 1/4) (fma.f64 -1/48 (pow.f64 a 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 a 1/4 1/2) (*.f64 -1/48 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/48 (pow.f64 a 3) 1/2) (*.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) (*.f64 a -1/48) (fma.f64 a 1/4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a 1/4)) (pow.f64 (cbrt.f64 (*.f64 a 1/4)) 2) (fma.f64 -1/48 (pow.f64 a 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a 1/4)) 2) (cbrt.f64 (*.f64 a 1/4)) (fma.f64 -1/48 (pow.f64 a 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (cbrt.f64 -1/48)) (pow.f64 (*.f64 a (cbrt.f64 -1/48)) 2) (fma.f64 a 1/4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 a (cbrt.f64 -1/48)) 2) (*.f64 a (cbrt.f64 -1/48)) (fma.f64 a 1/4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) 1/4) (fma.f64 -1/48 (pow.f64 a 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 a 1/4 1/2)) (pow.f64 (cbrt.f64 (fma.f64 a 1/4 1/2)) 2) (*.f64 -1/48 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/4 1/2)) 2) (cbrt.f64 (fma.f64 a 1/4 1/2)) (*.f64 -1/48 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 a)) (*.f64 1/2 (sqrt.f64 a)) (fma.f64 -1/48 (pow.f64 a 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -1/48) (pow.f64 a 3/2)) (*.f64 (sqrt.f64 -1/48) (pow.f64 a 3/2)) (fma.f64 a 1/4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) 1/4) (fma.f64 -1/48 (pow.f64 a 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 a 1/4 1/2)) (sqrt.f64 (fma.f64 a 1/4 1/2)) (*.f64 -1/48 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 a 3) 1/64 1/8) (/.f64 1 (fma.f64 (*.f64 a 1/4) (fma.f64 a 1/4 -1/2) 1/4)) (*.f64 -1/48 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1/4 (*.f64 1/16 (*.f64 a a))) (/.f64 1 (+.f64 1/2 (*.f64 -1/4 a))) (*.f64 -1/48 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3/2) (*.f64 (pow.f64 a 3/2) -1/48) (fma.f64 a 1/4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2) 1 (*.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2)) 2) (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2)) (*.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2)) (sqrt.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2)) (*.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/4 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (fma.f64 -1/48 (pow.f64 a 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/4 (sqrt.f64 a)) (sqrt.f64 a) (fma.f64 -1/48 (pow.f64 a 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/48 a) (*.f64 a a) (fma.f64 a 1/4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/48 (*.f64 a a)) a (fma.f64 a 1/4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/48 (pow.f64 a 3/2)) (pow.f64 a 3/2) (fma.f64 a 1/4 1/2)))))) |
| 1× | egg-herbie |
| 1274× | sqr-pow_binary64 |
| 666× | pow-sqr_binary64 |
| 529× | cube-prod_binary64 |
| 472× | fabs-mul_binary64 |
| 453× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 44 |
| 1 | 24 | 42 |
| 2 | 46 | 42 |
| 3 | 92 | 42 |
| 4 | 157 | 42 |
| 5 | 383 | 42 |
| 6 | 1259 | 42 |
| 7 | 1960 | 42 |
| 8 | 2046 | 42 |
| 9 | 2178 | 42 |
| 10 | 2336 | 42 |
| 11 | 2576 | 42 |
| 12 | 2898 | 42 |
| 13 | 3319 | 42 |
| 14 | 3821 | 42 |
| 15 | 4423 | 42 |
| 16 | 5145 | 42 |
| 17 | 5466 | 42 |
| 18 | 5748 | 42 |
| 19 | 5974 | 42 |
| 20 | 6152 | 42 |
| 21 | 6234 | 42 |
| 22 | 7174 | 42 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 1/4 a)) |
(*.f64 -1/48 (pow.f64 a 3)) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 1/4 a)) |
(*.f64 -1/48 (pow.f64 a 3)) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 1/4 a)) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 1/4 a)) |
(fma.f64 1/4 a 1/2) |
(*.f64 -1/48 (pow.f64 a 3)) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 1/4 a)) |
(fma.f64 -1/48 (pow.f64 a 3) (*.f64 1/4 a)) |
(fma.f64 1/4 a (*.f64 -1/48 (pow.f64 a 3))) |
(*.f64 a (fma.f64 a (*.f64 a -1/48) 1/4)) |
(*.f64 -1/48 (pow.f64 a 3)) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 1/4 a)) |
(fma.f64 -1/48 (pow.f64 a 3) (*.f64 1/4 a)) |
(fma.f64 1/4 a (*.f64 -1/48 (pow.f64 a 3))) |
(*.f64 a (fma.f64 a (*.f64 a -1/48) 1/4)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) |
| 0.0b | (+.f64 1 (exp.f64 b)) | |
| ✓ | 0.5b | (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2) |
Compiled 26 to 18 computations (30.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 111.0ms | b | @ | inf | (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2) |
| 46.0ms | b | @ | -inf | (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2) |
| 3.0ms | b | @ | 0 | (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) |
| 2.0ms | b | @ | 0 | (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2) |
| 1.0ms | b | @ | -inf | (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) |
| 1× | batch-egg-rewrite |
| 785× | pow1_binary64 |
| 734× | add-log-exp_binary64 |
| 733× | log1p-expm1-u_binary64 |
| 733× | expm1-log1p-u_binary64 |
| 717× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 18 |
| 1 | 191 | 18 |
| 2 | 2105 | 18 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2) |
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.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 (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 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.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 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 (cbrt.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 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4)) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4))))) (#(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 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.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 expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(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 (*.f64 (log1p.f64 (exp.f64 b)) -1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 b)))))))) |
| 1× | egg-herbie |
| 974× | fma-def_binary64 |
| 802× | distribute-rgt-out_binary64 |
| 692× | distribute-lft-in_binary64 |
| 631× | associate-*l*_binary64 |
| 556× | unswap-sqr_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 317 |
| 1 | 118 | 271 |
| 2 | 359 | 256 |
| 3 | 1245 | 242 |
| 4 | 4876 | 239 |
| 5 | 7281 | 239 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) b))) |
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) b)) (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 2)))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/64 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 5/192 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 3)) (+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) b)) (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 2))))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(sqrt.f64 1/2) |
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) b))) |
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) b)) (*.f64 -1/32 (*.f64 (sqrt.f64 1/2) (pow.f64 b 2))))) |
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) b)) (+.f64 (*.f64 5/384 (*.f64 (sqrt.f64 1/2) (pow.f64 b 3))) (*.f64 -1/32 (*.f64 (sqrt.f64 1/2) (pow.f64 b 2)))))) |
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) b))) |
(fma.f64 -1/4 b 1/2) |
(fma.f64 b -1/4 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) b)) (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 2)))) |
(+.f64 1/2 (*.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) b))) |
(fma.f64 -1/4 b 1/2) |
(fma.f64 b -1/4 1/2) |
(+.f64 (*.f64 (+.f64 (*.f64 1/64 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 5/192 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 3)) (+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) b)) (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 2))))) |
(fma.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) 1/24) (pow.f64 b 3) (+.f64 1/2 (fma.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) b) (*.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) 0) (*.f64 b b))))) |
(+.f64 (fma.f64 0 (*.f64 b b) (*.f64 b -1/4)) (fma.f64 1/48 (pow.f64 b 3) 1/2)) |
(fma.f64 1/48 (pow.f64 b 3) (fma.f64 b -1/4 1/2)) |
(fma.f64 b -1/4 (fma.f64 1/48 (pow.f64 b 3) 1/2)) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(sqrt.f64 1/2) |
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) b))) |
(fma.f64 -1/4 (*.f64 (sqrt.f64 1/2) b) (sqrt.f64 1/2)) |
(*.f64 (+.f64 (*.f64 b -1/4) 1) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 1/2) (fma.f64 b -1/4 1)) |
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) b)) (*.f64 -1/32 (*.f64 (sqrt.f64 1/2) (pow.f64 b 2))))) |
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/4 (*.f64 (sqrt.f64 1/2) b) (*.f64 -1/32 (*.f64 (sqrt.f64 1/2) (*.f64 b b))))) |
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/4 (*.f64 (sqrt.f64 1/2) b) (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 b b) -1/32)))) |
(+.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 b (*.f64 b -1/32)) (*.f64 b -1/4)))) |
(fma.f64 (sqrt.f64 1/2) (*.f64 b (+.f64 -1/4 (*.f64 b -1/32))) (sqrt.f64 1/2)) |
(*.f64 (+.f64 1 (*.f64 b (+.f64 -1/4 (*.f64 b -1/32)))) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 1/2) (+.f64 1 (*.f64 b (+.f64 -1/4 (*.f64 b -1/32))))) |
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) b)) (+.f64 (*.f64 5/384 (*.f64 (sqrt.f64 1/2) (pow.f64 b 3))) (*.f64 -1/32 (*.f64 (sqrt.f64 1/2) (pow.f64 b 2)))))) |
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/4 (*.f64 (sqrt.f64 1/2) b) (fma.f64 5/384 (*.f64 (sqrt.f64 1/2) (pow.f64 b 3)) (*.f64 -1/32 (*.f64 (sqrt.f64 1/2) (*.f64 b b)))))) |
(+.f64 (fma.f64 -1/4 (*.f64 (sqrt.f64 1/2) b) (sqrt.f64 1/2)) (fma.f64 -1/32 (*.f64 (sqrt.f64 1/2) (*.f64 b b)) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 b 3) 5/384)))) |
(+.f64 (sqrt.f64 1/2) (fma.f64 (sqrt.f64 1/2) (*.f64 b -1/4) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (pow.f64 b 3) 5/384) (*.f64 b (*.f64 b -1/32)))))) |
(fma.f64 (sqrt.f64 1/2) (*.f64 (*.f64 b b) (+.f64 (*.f64 b 5/384) -1/32)) (*.f64 (sqrt.f64 1/2) (fma.f64 b -1/4 1))) |
(*.f64 (sqrt.f64 1/2) (+.f64 (fma.f64 b -1/4 1) (*.f64 (*.f64 b b) (+.f64 -1/32 (*.f64 b 5/384))))) |
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
Compiled 5862 to 4635 computations (20.9% saved)
15 alts after pruning (9 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 400 | 6 | 406 |
| Fresh | 1 | 3 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 6 | 6 |
| Total | 402 | 15 | 417 |
| Status | Error | Program |
|---|---|---|
| 62.5b | (-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b)) | |
| ✓ | 39.3b | (+.f64 1/2 (*.f64 -1/4 b)) |
| ▶ | 61.7b | (/.f64 1 b) |
| 37.8b | (+.f64 1/2 (*.f64 1/4 a)) | |
| 38.0b | 1/2 | |
| ▶ | 13.1b | (-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)) 1) |
| ✓ | 21.0b | (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
| ▶ | 22.1b | (/.f64 (exp.f64 a) 2) |
| ▶ | 20.7b | (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
| ✓ | 12.5b | (/.f64 1 (+.f64 1 (exp.f64 b))) |
| ✓ | 12.6b | (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1) |
| 38.3b | (pow.f64 (sqrt.f64 1/2) 2) | |
| ✓ | 38.0b | (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
| ✓ | 39.2b | (/.f64 1 (+.f64 b 2)) |
| ▶ | 25.0b | (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
Compiled 197 to 168 computations (14.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 1 (+.f64 1 (exp.f64 b))) | |
| ✓ | 0.0b | (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3) |
| ✓ | 0.1b | (-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)) 1) |
| ✓ | 0.5b | (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)) |
Compiled 59 to 45 computations (23.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | inf | (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3) |
| 1.0ms | b | @ | -inf | (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3) |
| 0.0ms | b | @ | 0 | (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)) |
| 0.0ms | b | @ | 0 | (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3) |
| 0.0ms | b | @ | 0 | (-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)) 1) |
| 1× | batch-egg-rewrite |
| 408× | log-prod_binary64 |
| 393× | fma-def_binary64 |
| 365× | prod-diff_binary64 |
| 260× | pow-prod-down_binary64 |
| 245× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 42 |
| 1 | 248 | 36 |
| 2 | 3088 | 36 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)) |
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)) 1) |
(pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3) |
| Outputs |
|---|
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2))))))) |
| 1× | egg-herbie |
| 989× | fma-def_binary64 |
| 488× | associate-/l/_binary64 |
| 401× | unswap-sqr_binary64 |
| 381× | associate-/r/_binary64 |
| 358× | *-commutative_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 297 |
| 1 | 98 | 291 |
| 2 | 228 | 280 |
| 3 | 654 | 273 |
| 4 | 1570 | 270 |
| 5 | 2566 | 270 |
| 6 | 3409 | 270 |
| 7 | 3711 | 270 |
| 8 | 4353 | 270 |
| 9 | 7020 | 270 |
| 1× | node limit |
| Inputs |
|---|
3/2 |
(+.f64 3/2 (*.f64 -1/4 b)) |
(+.f64 3/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))) |
(+.f64 3/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))) |
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
1/2 |
(+.f64 1/2 (*.f64 -1/4 b)) |
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))) |
(+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
27/8 |
(+.f64 27/8 (*.f64 -27/16 b)) |
(+.f64 27/8 (+.f64 (*.f64 -27/16 b) (*.f64 9/32 (pow.f64 b 2)))) |
(+.f64 27/8 (+.f64 (*.f64 -27/16 b) (+.f64 (*.f64 9/32 (pow.f64 b 2)) (*.f64 1/8 (pow.f64 b 3))))) |
| Outputs |
|---|
3/2 |
(+.f64 3/2 (*.f64 -1/4 b)) |
(fma.f64 -1/4 b 3/2) |
(+.f64 3/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))) |
(+.f64 3/2 (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b))) |
(+.f64 3/2 (fma.f64 -1/4 b (*.f64 1/48 (pow.f64 b 3)))) |
(fma.f64 1/48 (pow.f64 b 3) (fma.f64 -1/4 b 3/2)) |
(fma.f64 b (fma.f64 b (*.f64 b 1/48) -1/4) 3/2) |
(fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) 3/2)) |
(+.f64 3/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))) |
(+.f64 3/2 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b)))) |
(+.f64 (fma.f64 -1/480 (pow.f64 b 5) (*.f64 1/48 (pow.f64 b 3))) (fma.f64 -1/4 b 3/2)) |
(fma.f64 -1/480 (pow.f64 b 5) (fma.f64 1/48 (pow.f64 b 3) (fma.f64 -1/4 b 3/2))) |
(fma.f64 b (fma.f64 b (*.f64 b 1/48) -1/4) (fma.f64 -1/480 (pow.f64 b 5) 3/2)) |
(fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) (fma.f64 -1/480 (pow.f64 b 5) 3/2))) |
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
1/2 |
(+.f64 1/2 (*.f64 -1/4 b)) |
(+.f64 (*.f64 -1/4 b) 1/2) |
(fma.f64 -1/4 b 1/2) |
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))) |
(+.f64 (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b)) 1/2) |
(+.f64 (*.f64 1/48 (pow.f64 b 3)) (fma.f64 -1/4 b 1/2)) |
(fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) 1/2)) |
(fma.f64 b (fma.f64 b (*.f64 b 1/48) -1/4) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))) |
(+.f64 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b))) 1/2) |
(+.f64 (fma.f64 -1/480 (pow.f64 b 5) (*.f64 1/48 (pow.f64 b 3))) (fma.f64 -1/4 b 1/2)) |
(fma.f64 -1/480 (pow.f64 b 5) (fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) 1/2))) |
(fma.f64 1/48 (pow.f64 b 3) (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 -1/4 b 1/2))) |
(fma.f64 b (fma.f64 b (*.f64 b 1/48) -1/4) (fma.f64 -1/480 (pow.f64 b 5) 1/2)) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
27/8 |
(+.f64 27/8 (*.f64 -27/16 b)) |
(+.f64 27/8 (*.f64 b -27/16)) |
(fma.f64 b -27/16 27/8) |
(+.f64 27/8 (+.f64 (*.f64 -27/16 b) (*.f64 9/32 (pow.f64 b 2)))) |
(+.f64 27/8 (fma.f64 -27/16 b (*.f64 9/32 (*.f64 b b)))) |
(+.f64 27/8 (fma.f64 b -27/16 (*.f64 (*.f64 9/32 b) b))) |
(fma.f64 b -27/16 (fma.f64 b (*.f64 b 9/32) 27/8)) |
(fma.f64 b (fma.f64 b 9/32 -27/16) 27/8) |
(+.f64 27/8 (+.f64 (*.f64 -27/16 b) (+.f64 (*.f64 9/32 (pow.f64 b 2)) (*.f64 1/8 (pow.f64 b 3))))) |
(+.f64 27/8 (fma.f64 -27/16 b (fma.f64 9/32 (*.f64 b b) (*.f64 (pow.f64 b 3) 1/8)))) |
(+.f64 27/8 (fma.f64 b -27/16 (fma.f64 (pow.f64 b 3) 1/8 (*.f64 (*.f64 9/32 b) b)))) |
(+.f64 (fma.f64 b -27/16 27/8) (*.f64 (*.f64 b b) (+.f64 (*.f64 b 1/8) 9/32))) |
(fma.f64 b -27/16 (fma.f64 (*.f64 b b) (fma.f64 b 1/8 9/32) 27/8)) |
(fma.f64 b (fma.f64 b (fma.f64 b 1/8 9/32) -27/16) 27/8) |
Compiled 7 to 5 computations (28.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (/.f64 1 (+.f64 b 2))) |
| 0.0b | (/.f64 1 (+.f64 b 2)) | |
| ✓ | 1.4b | (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
Compiled 29 to 24 computations (17.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | 0 | (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
| 1.0ms | b | @ | inf | (+.f64 1 (/.f64 1 (+.f64 b 2))) |
| 0.0ms | b | @ | -inf | (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
| 0.0ms | b | @ | inf | (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
| 0.0ms | b | @ | 0 | (+.f64 1 (/.f64 1 (+.f64 b 2))) |
| 1× | batch-egg-rewrite |
| 945× | pow1_binary64 |
| 890× | add-log-exp_binary64 |
| 889× | log1p-expm1-u_binary64 |
| 889× | expm1-log1p-u_binary64 |
| 98× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 23 |
| 1 | 190 | 17 |
| 2 | 2691 | 17 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
(+.f64 1 (/.f64 1 (+.f64 b 2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 b 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 b 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -2 (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (+.f64 (/.f64 1 (+.f64 b 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 b 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 b 2)) -1) (pow.f64 (sqrt.f64 (+.f64 b 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (fma.f64 b b (-.f64 4 (*.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 b b -4)) (+.f64 b -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 b 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (+.f64 -2 (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (+.f64 (/.f64 1 (+.f64 b 2)) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 (+.f64 b 2)) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 b 2) -1/2) (sqrt.f64 (+.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (+.f64 -2 (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (+.f64 (/.f64 1 (+.f64 b 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1) (+.f64 (/.f64 1 (+.f64 b 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (+.f64 (/.f64 1 (+.f64 b 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 1 (+.f64 b 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) (+.f64 (/.f64 1 (+.f64 b 2)) -1)) (+.f64 (/.f64 1 (+.f64 b 2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) (+.f64 (/.f64 1 (+.f64 b 2)) -1))) (-.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2)) (cbrt.f64 (+.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 b 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b 2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b 2) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 b 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 b 2) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 (+.f64 b 2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 1 (+.f64 b 2)))) (/.f64 (pow.f64 (+.f64 b 2) -2) (-.f64 1 (/.f64 1 (+.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 1 (+.f64 b 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (-.f64 1 (/.f64 1 (+.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 1 (+.f64 b 2)))) (+.f64 1 (pow.f64 (+.f64 b 2) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (/.f64 1 (+.f64 b 2))) (-.f64 1 (pow.f64 (+.f64 b 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 1 (+.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (+.f64 (pow.f64 (+.f64 b 2) -2) (-.f64 1 (/.f64 1 (+.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (-.f64 1 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 1 (+.f64 b 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2))) (neg.f64 (-.f64 1 (/.f64 1 (+.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 b 2) -2) 1) (+.f64 (/.f64 1 (+.f64 b 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) 1) (+.f64 1 (-.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 1 (+.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) 1) (-.f64 1 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 b 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 b 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 b 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2) 1))))) |
| 1× | egg-herbie |
| 752× | distribute-neg-frac_binary64 |
| 700× | associate-*l*_binary64 |
| 487× | associate-*r*_binary64 |
| 415× | times-frac_binary64 |
| 385× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 324 |
| 1 | 115 | 320 |
| 2 | 287 | 312 |
| 3 | 767 | 300 |
| 4 | 2173 | 300 |
| 5 | 7215 | 300 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/4 b)) |
(+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))) |
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))) |
(/.f64 1 b) |
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4))))) |
(/.f64 1 b) |
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4))))) |
3/2 |
(+.f64 3/2 (*.f64 -1/4 b)) |
(+.f64 3/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))) |
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 3/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))) |
1 |
(+.f64 1 (/.f64 1 b)) |
(-.f64 (+.f64 1 (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (*.f64 4 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
1 |
(+.f64 1 (/.f64 1 b)) |
(-.f64 (+.f64 1 (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (*.f64 4 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/4 b)) |
(fma.f64 -1/4 b 1/2) |
(+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))) |
(+.f64 1/2 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b))) |
(+.f64 1/2 (fma.f64 -1/4 b (*.f64 b (*.f64 b 1/8)))) |
(fma.f64 b (*.f64 b 1/8) (fma.f64 -1/4 b 1/2)) |
(fma.f64 b (fma.f64 b 1/8 -1/4) 1/2) |
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))) |
(fma.f64 -1/16 (pow.f64 b 3) (+.f64 1/2 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b)))) |
(+.f64 (fma.f64 -1/4 b (*.f64 b (*.f64 b 1/8))) (fma.f64 -1/16 (pow.f64 b 3) 1/2)) |
(fma.f64 -1/16 (pow.f64 b 3) (fma.f64 b (*.f64 b 1/8) (fma.f64 -1/4 b 1/2))) |
(fma.f64 b (fma.f64 b 1/8 -1/4) (fma.f64 -1/16 (pow.f64 b 3) 1/2)) |
(/.f64 1 b) |
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b))) |
(-.f64 (/.f64 1 b) (/.f64 (/.f64 2 b) b)) |
(+.f64 (/.f64 1 b) (/.f64 (/.f64 -2 b) b)) |
(+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b))) |
(-.f64 (/.f64 -2 (*.f64 b b)) (/.f64 -1 b)) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))) |
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b)))) |
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 -2 b) b))) |
(-.f64 (/.f64 1 b) (-.f64 (/.f64 (/.f64 2 b) b) (/.f64 4 (pow.f64 b 3)))) |
(+.f64 (/.f64 1 b) (-.f64 (/.f64 -2 (*.f64 b b)) (/.f64 -4 (pow.f64 b 3)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4))))) |
(-.f64 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3))) (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 8 (pow.f64 b 4)))) |
(+.f64 (/.f64 1 b) (-.f64 (/.f64 4 (pow.f64 b 3)) (+.f64 (/.f64 (/.f64 2 b) b) (/.f64 8 (pow.f64 b 4))))) |
(+.f64 (+.f64 (/.f64 1 b) (/.f64 (/.f64 -2 b) b)) (-.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 8 (pow.f64 b 4)))) |
(+.f64 (/.f64 1 b) (+.f64 (/.f64 -2 (*.f64 b b)) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -8 (pow.f64 b 4))))) |
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 -8 (pow.f64 b 4)) (/.f64 (/.f64 2 b) b)))) |
(+.f64 (/.f64 1 b) (+.f64 (/.f64 -8 (pow.f64 b 4)) (-.f64 (/.f64 -2 (*.f64 b b)) (/.f64 -4 (pow.f64 b 3))))) |
(/.f64 1 b) |
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b))) |
(-.f64 (/.f64 1 b) (/.f64 (/.f64 2 b) b)) |
(+.f64 (/.f64 1 b) (/.f64 (/.f64 -2 b) b)) |
(+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b))) |
(-.f64 (/.f64 -2 (*.f64 b b)) (/.f64 -1 b)) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))) |
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b)))) |
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 -2 b) b))) |
(-.f64 (/.f64 1 b) (-.f64 (/.f64 (/.f64 2 b) b) (/.f64 4 (pow.f64 b 3)))) |
(+.f64 (/.f64 1 b) (-.f64 (/.f64 -2 (*.f64 b b)) (/.f64 -4 (pow.f64 b 3)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4))))) |
(-.f64 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3))) (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 8 (pow.f64 b 4)))) |
(+.f64 (/.f64 1 b) (-.f64 (/.f64 4 (pow.f64 b 3)) (+.f64 (/.f64 (/.f64 2 b) b) (/.f64 8 (pow.f64 b 4))))) |
(+.f64 (+.f64 (/.f64 1 b) (/.f64 (/.f64 -2 b) b)) (-.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 8 (pow.f64 b 4)))) |
(+.f64 (/.f64 1 b) (+.f64 (/.f64 -2 (*.f64 b b)) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -8 (pow.f64 b 4))))) |
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 -8 (pow.f64 b 4)) (/.f64 (/.f64 2 b) b)))) |
(+.f64 (/.f64 1 b) (+.f64 (/.f64 -8 (pow.f64 b 4)) (-.f64 (/.f64 -2 (*.f64 b b)) (/.f64 -4 (pow.f64 b 3))))) |
3/2 |
(+.f64 3/2 (*.f64 -1/4 b)) |
(+.f64 (*.f64 -1/4 b) 3/2) |
(fma.f64 -1/4 b 3/2) |
(+.f64 3/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))) |
(+.f64 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b)) 3/2) |
(+.f64 (*.f64 b (*.f64 b 1/8)) (fma.f64 -1/4 b 3/2)) |
(fma.f64 -1/4 b (fma.f64 b (*.f64 b 1/8) 3/2)) |
(fma.f64 b (fma.f64 b 1/8 -1/4) 3/2) |
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 3/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))) |
(fma.f64 -1/16 (pow.f64 b 3) (+.f64 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b)) 3/2)) |
(+.f64 (fma.f64 -1/4 b (*.f64 b (*.f64 b 1/8))) (fma.f64 -1/16 (pow.f64 b 3) 3/2)) |
(fma.f64 -1/16 (pow.f64 b 3) (fma.f64 -1/4 b (fma.f64 b (*.f64 b 1/8) 3/2))) |
(fma.f64 b (fma.f64 b 1/8 -1/4) (fma.f64 -1/16 (pow.f64 b 3) 3/2)) |
1 |
(+.f64 1 (/.f64 1 b)) |
(-.f64 (+.f64 1 (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(+.f64 1 (-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))) |
(+.f64 1 (-.f64 (/.f64 1 b) (/.f64 (/.f64 2 b) b))) |
(+.f64 (/.f64 1 b) (+.f64 1 (/.f64 (/.f64 -2 b) b))) |
(+.f64 (/.f64 1 b) (+.f64 1 (/.f64 -2 (*.f64 b b)))) |
(+.f64 (/.f64 1 b) (-.f64 1 (/.f64 (/.f64 2 b) b))) |
(+.f64 1 (-.f64 (/.f64 -2 (*.f64 b b)) (/.f64 -1 b))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (*.f64 4 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3)))) (/.f64 2 (*.f64 b b))) |
(+.f64 1 (+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b))))) |
(+.f64 1 (+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 -2 b) b)))) |
(+.f64 (/.f64 1 b) (+.f64 1 (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b))))) |
(+.f64 1 (-.f64 (/.f64 1 b) (-.f64 (/.f64 (/.f64 2 b) b) (/.f64 4 (pow.f64 b 3))))) |
(+.f64 1 (+.f64 (/.f64 1 b) (-.f64 (/.f64 -2 (*.f64 b b)) (/.f64 -4 (pow.f64 b 3))))) |
1 |
(+.f64 1 (/.f64 1 b)) |
(-.f64 (+.f64 1 (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(+.f64 1 (-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))) |
(+.f64 1 (-.f64 (/.f64 1 b) (/.f64 (/.f64 2 b) b))) |
(+.f64 (/.f64 1 b) (+.f64 1 (/.f64 (/.f64 -2 b) b))) |
(+.f64 (/.f64 1 b) (+.f64 1 (/.f64 -2 (*.f64 b b)))) |
(+.f64 (/.f64 1 b) (-.f64 1 (/.f64 (/.f64 2 b) b))) |
(+.f64 1 (-.f64 (/.f64 -2 (*.f64 b b)) (/.f64 -1 b))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (*.f64 4 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3)))) (/.f64 2 (*.f64 b b))) |
(+.f64 1 (+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b))))) |
(+.f64 1 (+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 -2 b) b)))) |
(+.f64 (/.f64 1 b) (+.f64 1 (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b))))) |
(+.f64 1 (-.f64 (/.f64 1 b) (-.f64 (/.f64 (/.f64 2 b) b) (/.f64 4 (pow.f64 b 3))))) |
(+.f64 1 (+.f64 (/.f64 1 b) (-.f64 (/.f64 -2 (*.f64 b b)) (/.f64 -4 (pow.f64 b 3))))) |
Compiled 10 to 6 computations (40% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
| ✓ | 0.1b | (-.f64 a (log1p.f64 (exp.f64 a))) |
| ✓ | 0.7b | (log1p.f64 (exp.f64 a)) |
Compiled 19 to 6 computations (68.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 104.0ms | a | @ | -inf | (log1p.f64 (exp.f64 a)) |
| 26.0ms | a | @ | inf | (log1p.f64 (exp.f64 a)) |
| 1.0ms | a | @ | 0 | (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
| 1.0ms | a | @ | 0 | (log1p.f64 (exp.f64 a)) |
| 1.0ms | a | @ | 0 | (-.f64 a (log1p.f64 (exp.f64 a))) |
| 1× | batch-egg-rewrite |
| 657× | pow1_binary64 |
| 610× | add-log-exp_binary64 |
| 610× | expm1-log1p-u_binary64 |
| 609× | log1p-expm1-u_binary64 |
| 595× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 23 |
| 1 | 122 | 23 |
| 2 | 1648 | 23 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 (exp.f64 a)) |
(-.f64 a (log1p.f64 (exp.f64 a))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 a)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (neg.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 a (log1p.f64 (exp.f64 a))) (fma.f64 (neg.f64 (log1p.f64 (exp.f64 a))) 1 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 a (log1p.f64 (exp.f64 a))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 a (log1p.f64 (exp.f64 a))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 (exp.f64 a))) a)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 a (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 a (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2) (cbrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (sqrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (/.f64 1 (fma.f64 a a (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (/.f64 1 (+.f64 a (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 (log1p.f64 (exp.f64 a)))) (-.f64 (sqrt.f64 a) (sqrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 a a (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))))) (-.f64 (pow.f64 a 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 a (log1p.f64 (exp.f64 a))) (-.f64 (*.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (fma.f64 a a (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 a (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3))) (neg.f64 (fma.f64 a a (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (neg.f64 (+.f64 a (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 3) (pow.f64 (neg.f64 (log1p.f64 (exp.f64 a))) 3)) (+.f64 (*.f64 a a) (-.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (neg.f64 (log1p.f64 (exp.f64 a)))) (*.f64 a (neg.f64 (log1p.f64 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a a) (*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (neg.f64 (log1p.f64 (exp.f64 a))))) (-.f64 a (neg.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (neg.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (neg.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (neg.f64 (log1p.f64 (exp.f64 a)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 a) 1) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (+.f64 (exp.f64 a) 1) (sqrt.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (-.f64 a (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (sqrt.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))))) |
| 1× | egg-herbie |
| 827× | fma-neg_binary64 |
| 282× | associate-/l*_binary64 |
| 258× | distribute-lft-neg-out_binary64 |
| 244× | distribute-rgt-neg-out_binary64 |
| 236× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 381 |
| 1 | 159 | 279 |
| 2 | 444 | 263 |
| 3 | 1347 | 263 |
| 4 | 3353 | 263 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 2) |
(+.f64 (*.f64 1/2 a) (log.f64 2)) |
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2)))) |
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2))))) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(*.f64 -1 (log.f64 2)) |
(+.f64 (*.f64 1/2 a) (*.f64 -1 (log.f64 2))) |
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 -1/8 (pow.f64 a 2)) (*.f64 -1 (log.f64 2)))) |
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 -1/8 (pow.f64 a 2)) (+.f64 (*.f64 1/192 (pow.f64 a 4)) (*.f64 -1 (log.f64 2))))) |
a |
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a))))) |
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a))))) |
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a))))) |
a |
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a))))) |
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a))))) |
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a))))) |
(exp.f64 (neg.f64 (log.f64 2))) |
(+.f64 (exp.f64 (neg.f64 (log.f64 2))) (*.f64 1/2 (*.f64 a (exp.f64 (neg.f64 (log.f64 2)))))) |
(+.f64 (*.f64 -1/24 (*.f64 (pow.f64 a 3) (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (exp.f64 (neg.f64 (log.f64 2))) (*.f64 1/2 (*.f64 a (exp.f64 (neg.f64 (log.f64 2))))))) |
(+.f64 (*.f64 -1/24 (*.f64 (pow.f64 a 3) (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (exp.f64 (neg.f64 (log.f64 2))) (+.f64 (*.f64 1/2 (*.f64 a (exp.f64 (neg.f64 (log.f64 2))))) (*.f64 1/240 (*.f64 (pow.f64 a 5) (exp.f64 (neg.f64 (log.f64 2)))))))) |
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (*.f64 -1 a)))) |
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (*.f64 -1 a)))) |
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (*.f64 -1 a)))) |
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (*.f64 -1 a)))) |
| Outputs |
|---|
(log.f64 2) |
(+.f64 (*.f64 1/2 a) (log.f64 2)) |
(fma.f64 1/2 a (log.f64 2)) |
(fma.f64 a 1/2 (log.f64 2)) |
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2)))) |
(+.f64 (fma.f64 1/2 a (log.f64 2)) (*.f64 1/8 (*.f64 a a))) |
(fma.f64 a 1/2 (fma.f64 1/8 (*.f64 a a) (log.f64 2))) |
(fma.f64 a 1/2 (fma.f64 a (*.f64 a 1/8) (log.f64 2))) |
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2))))) |
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 -1/192 (pow.f64 a 4) (*.f64 1/8 (*.f64 a a)))) |
(+.f64 (fma.f64 a 1/2 (log.f64 2)) (fma.f64 -1/192 (pow.f64 a 4) (*.f64 a (*.f64 a 1/8)))) |
(fma.f64 a 1/2 (fma.f64 a (*.f64 a 1/8) (fma.f64 -1/192 (pow.f64 a 4) (log.f64 2)))) |
(fma.f64 a 1/2 (fma.f64 -1/192 (pow.f64 a 4) (fma.f64 a (*.f64 a 1/8) (log.f64 2)))) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(*.f64 -1 (log.f64 2)) |
(neg.f64 (log.f64 2)) |
(+.f64 (*.f64 1/2 a) (*.f64 -1 (log.f64 2))) |
(fma.f64 1/2 a (neg.f64 (log.f64 2))) |
(-.f64 (*.f64 a 1/2) (log.f64 2)) |
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 -1/8 (pow.f64 a 2)) (*.f64 -1 (log.f64 2)))) |
(fma.f64 1/2 a (fma.f64 -1/8 (*.f64 a a) (neg.f64 (log.f64 2)))) |
(-.f64 (fma.f64 a 1/2 (*.f64 (*.f64 a a) -1/8)) (log.f64 2)) |
(-.f64 (*.f64 a (+.f64 (*.f64 a -1/8) 1/2)) (log.f64 2)) |
(-.f64 (*.f64 a (+.f64 1/2 (*.f64 a -1/8))) (log.f64 2)) |
(-.f64 (*.f64 a (-.f64 1/2 (*.f64 a 1/8))) (log.f64 2)) |
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 -1/8 (pow.f64 a 2)) (+.f64 (*.f64 1/192 (pow.f64 a 4)) (*.f64 -1 (log.f64 2))))) |
(fma.f64 1/2 a (fma.f64 -1/8 (*.f64 a a) (fma.f64 1/192 (pow.f64 a 4) (neg.f64 (log.f64 2))))) |
(fma.f64 a 1/2 (-.f64 (fma.f64 (*.f64 a a) -1/8 (*.f64 (pow.f64 a 4) 1/192)) (log.f64 2))) |
(-.f64 (*.f64 a (+.f64 (*.f64 a -1/8) 1/2)) (fma.f64 -1/192 (pow.f64 a 4) (log.f64 2))) |
(fma.f64 a (+.f64 1/2 (*.f64 a -1/8)) (fma.f64 (pow.f64 a 4) 1/192 (neg.f64 (log.f64 2)))) |
(-.f64 (*.f64 a (-.f64 1/2 (*.f64 a 1/8))) (fma.f64 -1/192 (pow.f64 a 4) (log.f64 2))) |
a |
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a))))) |
(+.f64 a (neg.f64 (log1p.f64 (exp.f64 a)))) |
(-.f64 a (log1p.f64 (exp.f64 a))) |
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a))))) |
(+.f64 a (neg.f64 (log1p.f64 (exp.f64 a)))) |
(-.f64 a (log1p.f64 (exp.f64 a))) |
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a))))) |
(+.f64 a (neg.f64 (log1p.f64 (exp.f64 a)))) |
(-.f64 a (log1p.f64 (exp.f64 a))) |
a |
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a))))) |
(+.f64 a (neg.f64 (log1p.f64 (exp.f64 a)))) |
(-.f64 a (log1p.f64 (exp.f64 a))) |
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a))))) |
(+.f64 a (neg.f64 (log1p.f64 (exp.f64 a)))) |
(-.f64 a (log1p.f64 (exp.f64 a))) |
(+.f64 a (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 a))))) |
(+.f64 a (neg.f64 (log1p.f64 (exp.f64 a)))) |
(-.f64 a (log1p.f64 (exp.f64 a))) |
(exp.f64 (neg.f64 (log.f64 2))) |
1/2 |
(+.f64 (exp.f64 (neg.f64 (log.f64 2))) (*.f64 1/2 (*.f64 a (exp.f64 (neg.f64 (log.f64 2)))))) |
(+.f64 1/2 (*.f64 a 1/4)) |
(fma.f64 a 1/4 1/2) |
(+.f64 (*.f64 -1/24 (*.f64 (pow.f64 a 3) (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (exp.f64 (neg.f64 (log.f64 2))) (*.f64 1/2 (*.f64 a (exp.f64 (neg.f64 (log.f64 2))))))) |
(fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 (log.f64 2))) (pow.f64 a 3)) (+.f64 (exp.f64 (neg.f64 (log.f64 2))) (*.f64 1/2 (*.f64 a (exp.f64 (neg.f64 (log.f64 2))))))) |
(+.f64 (+.f64 1/2 (*.f64 a 1/4)) (*.f64 (pow.f64 a 3) -1/48)) |
(fma.f64 a 1/4 (fma.f64 (pow.f64 a 3) -1/48 1/2)) |
(+.f64 (*.f64 -1/24 (*.f64 (pow.f64 a 3) (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (exp.f64 (neg.f64 (log.f64 2))) (+.f64 (*.f64 1/2 (*.f64 a (exp.f64 (neg.f64 (log.f64 2))))) (*.f64 1/240 (*.f64 (pow.f64 a 5) (exp.f64 (neg.f64 (log.f64 2)))))))) |
(fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 (log.f64 2))) (pow.f64 a 3)) (+.f64 (exp.f64 (neg.f64 (log.f64 2))) (fma.f64 1/2 (*.f64 a (exp.f64 (neg.f64 (log.f64 2)))) (*.f64 1/240 (*.f64 (exp.f64 (neg.f64 (log.f64 2))) (pow.f64 a 5)))))) |
(+.f64 1/2 (+.f64 (+.f64 (*.f64 a 1/4) (*.f64 (pow.f64 a 5) 1/480)) (*.f64 (pow.f64 a 3) -1/48))) |
(fma.f64 (pow.f64 a 3) -1/48 (fma.f64 a 1/4 (fma.f64 (pow.f64 a 5) 1/480 1/2))) |
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (*.f64 -1 a)))) |
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a)))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (*.f64 -1 a)))) |
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a)))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (*.f64 -1 a)))) |
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a)))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (*.f64 -1 a)))) |
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a)))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
Compiled 7486 to 5686 computations (24% saved)
15 alts after pruning (7 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 488 | 5 | 493 |
| Fresh | 2 | 2 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 3 | 7 | 10 |
| Total | 493 | 15 | 508 |
| Status | Error | Program |
|---|---|---|
| 62.5b | (-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b)) | |
| ✓ | 39.3b | (+.f64 1/2 (*.f64 -1/4 b)) |
| 28.1b | (-.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) 1) | |
| ✓ | 61.7b | (/.f64 1 b) |
| 37.8b | (+.f64 1/2 (*.f64 1/4 a)) | |
| 38.0b | 1/2 | |
| ✓ | 38.0b | (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
| ✓ | 20.7b | (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
| ✓ | 12.5b | (/.f64 1 (+.f64 1 (exp.f64 b))) |
| ✓ | 12.6b | (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1) |
| 36.1b | (-.f64 1 1) | |
| ✓ | 21.0b | (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
| ✓ | 39.2b | (/.f64 1 (+.f64 b 2)) |
| 30.6b | (exp.f64 a) | |
| 38.5b | (-.f64 (cbrt.f64 27/8) 1) |
Compiled 134 to 114 computations (14.9% saved)
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
(-.f64 1 1) |
(/.f64 1 b) |
(+.f64 1/2 (*.f64 -1/4 b)) |
(+.f64 1/2 (*.f64 1/4 a)) |
(/.f64 1 (+.f64 b 2)) |
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b)) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
(exp.f64 a) |
(-.f64 (cbrt.f64 27/8) 1) |
(/.f64 (exp.f64 a) 2) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
(pow.f64 (sqrt.f64 1/2) 2) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(-.f64 (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1) |
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)) 1) |
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) |
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3) |
(-.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) 1) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
5 calls:
| 39.0ms | b |
| 14.0ms | a |
| 6.0ms | (exp.f64 b) |
| 4.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 4.0ms | (exp.f64 a) |
| Error | Segments | Branch |
|---|---|---|
| 1.0b | 1 | a |
| 1.0b | 1 | b |
| 1.0b | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1.0b | 1 | (exp.f64 a) |
| 1.0b | 1 | (exp.f64 b) |
Compiled 218 to 150 computations (31.2% saved)
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
(-.f64 1 1) |
(/.f64 1 b) |
(+.f64 1/2 (*.f64 -1/4 b)) |
(+.f64 1/2 (*.f64 1/4 a)) |
(/.f64 1 (+.f64 b 2)) |
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b)) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
(exp.f64 a) |
(-.f64 (cbrt.f64 27/8) 1) |
(/.f64 (exp.f64 a) 2) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
(pow.f64 (sqrt.f64 1/2) 2) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2) |
| Outputs |
|---|
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
4 calls:
| 55.0ms | b |
| 20.0ms | a |
| 8.0ms | (exp.f64 b) |
| 5.0ms | (exp.f64 a) |
| Error | Segments | Branch |
|---|---|---|
| 0.8b | 2 | a |
| 0.8b | 3 | b |
| 0.8b | 2 | (exp.f64 a) |
| 0.8b | 3 | (exp.f64 b) |
Compiled 120 to 91 computations (24.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.000004501403479 | 1.0041218585028264 |
| 0.0ms | 0.999999999999994 | 0.9999999999999952 |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
(-.f64 1 1) |
(/.f64 1 b) |
(+.f64 1/2 (*.f64 -1/4 b)) |
(+.f64 1/2 (*.f64 1/4 a)) |
(/.f64 1 (+.f64 b 2)) |
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b)) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
(exp.f64 a) |
(-.f64 (cbrt.f64 27/8) 1) |
(/.f64 (exp.f64 a) 2) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
(pow.f64 (sqrt.f64 1/2) 2) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
| Outputs |
|---|
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
4 calls:
| 66.0ms | b |
| 21.0ms | a |
| 7.0ms | (exp.f64 b) |
| 6.0ms | (exp.f64 a) |
| Error | Segments | Branch |
|---|---|---|
| 0.8b | 2 | a |
| 0.8b | 3 | b |
| 0.8b | 2 | (exp.f64 a) |
| 0.8b | 3 | (exp.f64 b) |
Compiled 106 to 82 computations (22.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.000004501403479 | 1.0041218585028264 |
| 0.0ms | 0.999999999999994 | 0.9999999999999952 |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
(-.f64 1 1) |
(/.f64 1 b) |
(+.f64 1/2 (*.f64 -1/4 b)) |
(+.f64 1/2 (*.f64 1/4 a)) |
(/.f64 1 (+.f64 b 2)) |
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b)) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
(exp.f64 a) |
(-.f64 (cbrt.f64 27/8) 1) |
(/.f64 (exp.f64 a) 2) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
(pow.f64 (sqrt.f64 1/2) 2) |
| Outputs |
|---|
(/.f64 (exp.f64 a) 2) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
4 calls:
| 51.0ms | a |
| 28.0ms | b |
| 8.0ms | (exp.f64 b) |
| 5.0ms | (exp.f64 a) |
| Error | Segments | Branch |
|---|---|---|
| 1.3b | 2 | a |
| 1.9b | 3 | b |
| 1.3b | 2 | (exp.f64 a) |
| 1.9b | 3 | (exp.f64 b) |
Compiled 99 to 79 computations (20.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9870322991598741 | 0.9999991259232187 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
(-.f64 1 1) |
(/.f64 1 b) |
(+.f64 1/2 (*.f64 -1/4 b)) |
(+.f64 1/2 (*.f64 1/4 a)) |
(/.f64 1 (+.f64 b 2)) |
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b)) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
(exp.f64 a) |
(-.f64 (cbrt.f64 27/8) 1) |
(/.f64 (exp.f64 a) 2) |
| Outputs |
|---|
(exp.f64 a) |
(/.f64 (exp.f64 a) 2) |
(-.f64 1 1) |
3 calls:
| 28.0ms | a |
| 25.0ms | b |
| 4.0ms | (exp.f64 a) |
| Error | Segments | Branch |
|---|---|---|
| 13.6b | 2 | a |
| 2.5b | 3 | b |
| 13.6b | 2 | (exp.f64 a) |
Compiled 64 to 50 computations (21.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 41.0ms | 19.98336883665251 | 84170312.0693606 |
| 44.0ms | -65.03457022728482 | -1.14500473757715e-6 |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
(-.f64 1 1) |
(/.f64 1 b) |
(+.f64 1/2 (*.f64 -1/4 b)) |
(+.f64 1/2 (*.f64 1/4 a)) |
(/.f64 1 (+.f64 b 2)) |
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b)) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
(exp.f64 a) |
(-.f64 (cbrt.f64 27/8) 1) |
| Outputs |
|---|
(exp.f64 a) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
3 calls:
| 30.0ms | b |
| 29.0ms | a |
| 13.0ms | (exp.f64 a) |
| Error | Segments | Branch |
|---|---|---|
| 13.6b | 2 | a |
| 12.6b | 2 | b |
| 13.6b | 2 | (exp.f64 a) |
Compiled 60 to 48 computations (20% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 25.0ms | -1.1225341323172226e-45 | -5.765541230548306e-47 |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
(-.f64 1 1) |
(/.f64 1 b) |
(+.f64 1/2 (*.f64 -1/4 b)) |
(+.f64 1/2 (*.f64 1/4 a)) |
(/.f64 1 (+.f64 b 2)) |
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b)) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
| Outputs |
|---|
(-.f64 1 1) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
2 calls:
| 14.0ms | b |
| 13.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 13.6b | 2 | a |
| 22.6b | 2 | b |
Compiled 50 to 40 computations (20% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | -84081.80901330551 | -0.3420760878376277 |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
(-.f64 1 1) |
(/.f64 1 b) |
(+.f64 1/2 (*.f64 -1/4 b)) |
(+.f64 1/2 (*.f64 1/4 a)) |
(/.f64 1 (+.f64 b 2)) |
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b)) |
| Outputs |
|---|
(-.f64 1 1) |
(+.f64 1/2 (*.f64 1/4 a)) |
2 calls:
| 21.0ms | a |
| 15.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 21.7b | 2 | a |
| 22.6b | 2 | b |
Compiled 41 to 32 computations (22% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 46.0ms | -84081.80901330551 | -0.3420760878376277 |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
(-.f64 1 1) |
(/.f64 1 b) |
(+.f64 1/2 (*.f64 -1/4 b)) |
| Outputs |
|---|
(-.f64 1 1) |
1/2 |
2 calls:
| 14.0ms | a |
| 10.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 21.9b | 2 | a |
| 22.8b | 2 | b |
Compiled 22 to 18 computations (18.2% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | -8.740771633340857e-7 | -1.0664330265484355e-11 |
Compiled 15 to 10 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0.0b (-0%)
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
| Outputs |
|---|
1/2 |
2 calls:
| 8.0ms | a |
| 4.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 38.0b | 1 | a |
| 38.0b | 1 | b |
Compiled 11 to 9 computations (18.2% saved)
| 1× | egg-herbie |
| 9× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 2× | *-commutative_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 212 |
| 1 | 68 | 212 |
| 2 | 72 | 212 |
| 3 | 74 | 212 |
| 4 | 75 | 212 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(if (<=.f64 (exp.f64 b) 9007199254740947/9007199254740992) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 4512606826625237/4503599627370496) (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(if (<=.f64 (exp.f64 b) 9007199254740947/9007199254740992) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 4512606826625237/4503599627370496) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(if (<=.f64 (exp.f64 a) 4458563631096791/4503599627370496) (/.f64 (exp.f64 a) 2) (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(if (<=.f64 b -4576401035028129/70368744177664) (exp.f64 a) (if (<=.f64 b 2812409138948607/140737488355328) (/.f64 (exp.f64 a) 2) (-.f64 1 1))) |
(if (<=.f64 b -7215371212799201/6427752177035961102167848369364650410088811975131171341205504) (exp.f64 a) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)) |
(if (<=.f64 a -5778057918410643/68719476736) (-.f64 1 1) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)) |
(if (<=.f64 a -5778057918410643/68719476736) (-.f64 1 1) (+.f64 1/2 (*.f64 1/4 a))) |
(if (<=.f64 a -8255425399141325/9444732965739290427392) (-.f64 1 1) 1/2) |
1/2 |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(if (<=.f64 (exp.f64 b) 9007199254740947/9007199254740992) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 4512606826625237/4503599627370496) (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(if (<=.f64 (exp.f64 b) 9007199254740947/9007199254740992) (/.f64 1 (+.f64 (exp.f64 b) 1)) (if (<=.f64 (exp.f64 b) 4512606826625237/4503599627370496) (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 1 (+.f64 (exp.f64 b) 1)))) |
(if (<=.f64 (exp.f64 b) 9007199254740947/9007199254740992) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 4512606826625237/4503599627370496) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(if (<=.f64 (exp.f64 b) 9007199254740947/9007199254740992) (/.f64 1 (+.f64 (exp.f64 b) 1)) (if (<=.f64 (exp.f64 b) 4512606826625237/4503599627370496) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 1 (+.f64 (exp.f64 b) 1)))) |
(if (<=.f64 (exp.f64 a) 4458563631096791/4503599627370496) (/.f64 (exp.f64 a) 2) (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(if (<=.f64 (exp.f64 a) 4458563631096791/4503599627370496) (/.f64 (exp.f64 a) 2) (/.f64 1 (+.f64 (exp.f64 b) 1))) |
(if (<=.f64 b -4576401035028129/70368744177664) (exp.f64 a) (if (<=.f64 b 2812409138948607/140737488355328) (/.f64 (exp.f64 a) 2) (-.f64 1 1))) |
(if (<=.f64 b -4576401035028129/70368744177664) (exp.f64 a) (if (<=.f64 b 2812409138948607/140737488355328) (/.f64 (exp.f64 a) 2) 0)) |
(if (<=.f64 b -7215371212799201/6427752177035961102167848369364650410088811975131171341205504) (exp.f64 a) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)) |
(if (<=.f64 b -7215371212799201/6427752177035961102167848369364650410088811975131171341205504) (exp.f64 a) (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1)) |
(if (<=.f64 a -5778057918410643/68719476736) (-.f64 1 1) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)) |
(if (<=.f64 a -5778057918410643/68719476736) 0 (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1)) |
(if (<=.f64 a -5778057918410643/68719476736) (-.f64 1 1) (+.f64 1/2 (*.f64 1/4 a))) |
(if (<=.f64 a -5778057918410643/68719476736) 0 (+.f64 1/2 (*.f64 a 1/4))) |
(if (<=.f64 a -8255425399141325/9444732965739290427392) (-.f64 1 1) 1/2) |
(if (<=.f64 a -8255425399141325/9444732965739290427392) 0 1/2) |
1/2 |
Compiled 161 to 121 computations (24.8% saved)
Compiled 143 to 95 computations (33.6% saved)
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