Time bar (total: 9.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 3 |
| 62.5% | 62.4% | 37.5% | 0.1% | 0% | 0% | 0% | 4 |
| 68.8% | 68.7% | 31.2% | 0.1% | 0% | 0% | 0% | 5 |
| 78.6% | 68.7% | 18.7% | 0.1% | 0% | 0% | 12.5% | 6 |
| 80% | 68.7% | 17.2% | 0.1% | 0% | 0% | 14% | 7 |
| 87.1% | 68.7% | 10.1% | 0.1% | 0% | 0% | 21.1% | 8 |
| 88.4% | 68.7% | 9% | 0.1% | 0% | 0% | 22.2% | 9 |
| 92.9% | 68.7% | 5.3% | 0.1% | 0% | 0% | 26% | 10 |
| 93.7% | 68.7% | 4.6% | 0.1% | 0% | 0% | 26.6% | 11 |
| 96.2% | 68.7% | 2.7% | 0.1% | 0% | 0% | 28.5% | 12 |
Compiled 11 to 7 computations (36.4% saved)
| 1.4s | 8256× | body | 256 | valid |
| 64.0ms | 171× | body | 256 | unsamplable |
| 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 | |
|---|---|---|---|---|
| 4.0ms | b | @ | 0 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 2.0ms | a | @ | 0 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1.0ms | a | @ | inf | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1.0ms | b | @ | -inf | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1.0ms | a | @ | -inf | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1× | batch-egg-rewrite |
| 854× | pow1_binary64 |
| 793× | 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)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 86 | 8 | 94 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 87 | 8 | 95 |
| Status | Error | Program |
|---|---|---|
| ▶ | 1.8b | (/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a))) |
| ▶ | 12.9b | (/.f64 1 (+.f64 1 (exp.f64 b))) |
| 22.7b | (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) | |
| ▶ | 1.3b | (pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) |
| ▶ | 1.6b | (/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))) |
| ▶ | 1.0b | (exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) |
| 1.4b | (-.f64 (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1) | |
| 1.3b | (cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)) |
Compiled 192 to 140 computations (27.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (exp.f64 a) (exp.f64 b)) | |
| ✓ | 0.0b | (exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) |
| ✓ | 1.0b | (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) |
| ✓ | 3.9b | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 36 to 8 computations (77.8% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 190.0ms | a | @ | inf | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 52.0ms | b | @ | -inf | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 37.0ms | a | @ | -inf | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 25.0ms | b | @ | inf | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1.0ms | a | @ | 0 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1× | batch-egg-rewrite |
| 814× | prod-diff_binary64 |
| 461× | log-prod_binary64 |
| 327× | fma-def_binary64 |
| 304× | pow-prod-down_binary64 |
| 256× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 36 |
| 1 | 186 | 36 |
| 2 | 2658 | 36 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) |
| Outputs |
|---|
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(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))))))))) |
| 1× | egg-herbie |
| 815× | fma-def_binary64 |
| 677× | associate-*r*_binary64 |
| 660× | associate-*l*_binary64 |
| 438× | distribute-rgt-in_binary64 |
| 434× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 1541 |
| 1 | 430 | 1461 |
| 2 | 1571 | 1350 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 1 (exp.f64 b))) |
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))))) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))) |
(*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) |
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) |
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (+.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))) |
a |
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a) |
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a) |
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a) |
a |
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a) |
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a) |
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a) |
(-.f64 a (log.f64 (+.f64 1 (exp.f64 a)))) |
(-.f64 (+.f64 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (log.f64 (+.f64 1 (exp.f64 a)))) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (+.f64 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log.f64 (+.f64 1 (exp.f64 a)))) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (+.f64 a (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log.f64 (+.f64 1 (exp.f64 a)))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) |
(+.f64 (*.f64 a (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))) |
(+.f64 (*.f64 (pow.f64 a 2) (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2)) (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (*.f64 a (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))) |
(+.f64 (*.f64 (pow.f64 a 2) (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2)) (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (*.f64 a (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 (pow.f64 a 3) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 -1/6 (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (*.f64 1/6 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a)))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a)))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a)))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a)))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) |
(+.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) b) (+.f64 1 (exp.f64 a))))) |
(+.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (+.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 (+.f64 (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) b) (+.f64 1 (exp.f64 a)))))) |
(+.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (+.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 1 (exp.f64 a)))) (*.f64 -1/6 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))) (+.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 (+.f64 (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) b) (+.f64 1 (exp.f64 a))))))) |
| Outputs |
|---|
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))) |
(fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))) |
(+.f64 (log1p.f64 (exp.f64 b)) (fma.f64 (*.f64 1/2 (*.f64 a a)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 a (+.f64 1 (exp.f64 b))))) |
(fma.f64 1/2 (*.f64 a (/.f64 (+.f64 a (/.f64 (neg.f64 a) (+.f64 1 (exp.f64 b)))) (+.f64 1 (exp.f64 b)))) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))))) |
(fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 1/6 (pow.f64 a 3)) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) |
(+.f64 (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (log1p.f64 (exp.f64 b))) (fma.f64 (*.f64 1/2 (*.f64 a a)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 a (+.f64 1 (exp.f64 b))))) |
(+.f64 (-.f64 (log1p.f64 (exp.f64 b)) (*.f64 (pow.f64 a 3) (fma.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) -1/6 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (fma.f64 1/2 (*.f64 a (/.f64 (+.f64 a (/.f64 (neg.f64 a) (+.f64 1 (exp.f64 b)))) (+.f64 1 (exp.f64 b)))) (/.f64 a (+.f64 1 (exp.f64 b))))) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a))))) |
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (log1p.f64 (exp.f64 a)))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))) |
(fma.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a)))))) |
(+.f64 (fma.f64 1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a)))) (fma.f64 1/6 (*.f64 (pow.f64 b 3) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (log1p.f64 (exp.f64 a)))) |
(+.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a)))) (fma.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 1/6 (pow.f64 b 3)) (log1p.f64 (exp.f64 a)))) |
(*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) |
(neg.f64 (log1p.f64 (exp.f64 b))) |
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) |
(fma.f64 -1 (log1p.f64 (exp.f64 b)) (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) |
(-.f64 (+.f64 a (*.f64 a (/.f64 -1 (+.f64 1 (exp.f64 b))))) (log1p.f64 (exp.f64 b))) |
(+.f64 a (-.f64 (/.f64 (neg.f64 a) (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b)))) |
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) |
(fma.f64 -1 (log1p.f64 (exp.f64 b)) (fma.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) -1/2))) |
(-.f64 (fma.f64 (*.f64 (*.f64 a a) -1/2) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 a (*.f64 a (/.f64 -1 (+.f64 1 (exp.f64 b)))))) (log1p.f64 (exp.f64 b))) |
(fma.f64 (*.f64 a (/.f64 (+.f64 a (/.f64 (neg.f64 a) (+.f64 1 (exp.f64 b)))) (+.f64 1 (exp.f64 b)))) -1/2 (+.f64 a (-.f64 (/.f64 (neg.f64 a) (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b))))) |
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (+.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))) |
(fma.f64 -1 (log1p.f64 (exp.f64 b)) (fma.f64 -1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (fma.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) -1/2)))) |
(-.f64 (fma.f64 (*.f64 (pow.f64 a 3) (+.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) -1/6 (fma.f64 (*.f64 (*.f64 a a) -1/2) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 a (*.f64 a (/.f64 -1 (+.f64 1 (exp.f64 b))))))) (log1p.f64 (exp.f64 b))) |
(fma.f64 (pow.f64 a 3) (fma.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) -1/6 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (*.f64 a (/.f64 (+.f64 a (/.f64 (neg.f64 a) (+.f64 1 (exp.f64 b)))) (+.f64 1 (exp.f64 b)))) -1/2 (+.f64 a (-.f64 (/.f64 (neg.f64 a) (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b)))))) |
a |
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a) |
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a) |
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a) |
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a) |
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a) |
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a) |
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
a |
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a) |
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a) |
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a) |
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a) |
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a) |
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a) |
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
(-.f64 a (log.f64 (+.f64 1 (exp.f64 a)))) |
(-.f64 a (log1p.f64 (exp.f64 a))) |
(-.f64 (+.f64 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (log.f64 (+.f64 1 (exp.f64 a)))) |
(+.f64 a (-.f64 (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))) |
(-.f64 (-.f64 a (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a))) |
(-.f64 a (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (+.f64 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log.f64 (+.f64 1 (exp.f64 a)))) |
(-.f64 (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (+.f64 a (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log1p.f64 (exp.f64 a))) |
(-.f64 (fma.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) -1/2 (-.f64 a (/.f64 b (+.f64 1 (exp.f64 a))))) (log1p.f64 (exp.f64 a))) |
(-.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 -1/2 (+.f64 1 (exp.f64 a)))) (-.f64 a (/.f64 b (+.f64 1 (exp.f64 a))))) (log1p.f64 (exp.f64 a))) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (+.f64 a (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log.f64 (+.f64 1 (exp.f64 a)))) |
(-.f64 (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (+.f64 a (fma.f64 -1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log1p.f64 (exp.f64 a))) |
(+.f64 (fma.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) -1/2 a) (-.f64 (-.f64 (*.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 (pow.f64 b 3) -1/6)) (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))) |
(fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 -1/2 (+.f64 1 (exp.f64 a)))) (-.f64 (fma.f64 (pow.f64 b 3) (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) -1/6 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) a) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(+.f64 (*.f64 a (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))) |
(fma.f64 a (*.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) |
(fma.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b)))) (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(*.f64 (+.f64 (+.f64 a (/.f64 (neg.f64 a) (+.f64 1 (exp.f64 b)))) 1) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) |
(+.f64 (*.f64 (pow.f64 a 2) (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2)) (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (*.f64 a (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))) |
(fma.f64 (*.f64 a a) (*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (fma.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2) (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) -1/2))) (fma.f64 a (*.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))) |
(fma.f64 (*.f64 a (/.f64 a (+.f64 1 (exp.f64 b)))) (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b)))) 2) (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) -1/2)) (fma.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b)))) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(fma.f64 a (*.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) (+.f64 1 (exp.f64 b))) -1/2 (*.f64 1/2 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) 2)))) (*.f64 (+.f64 (+.f64 a (/.f64 (neg.f64 a) (+.f64 1 (exp.f64 b)))) 1) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))) |
(+.f64 (*.f64 (pow.f64 a 2) (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2)) (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (*.f64 a (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 (pow.f64 a 3) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 -1/6 (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (*.f64 1/6 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))))) |
(fma.f64 (*.f64 a a) (*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (fma.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2) (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) -1/2))) (fma.f64 a (*.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) (fma.f64 (pow.f64 a 3) (*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (fma.f64 -1/6 (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 1/6 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))))) |
(fma.f64 (*.f64 a (/.f64 a (+.f64 1 (exp.f64 b)))) (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b)))) 2) (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) -1/2)) (fma.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b)))) (*.f64 (+.f64 (*.f64 (pow.f64 a 3) (fma.f64 -1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b))))) (fma.f64 1/6 (pow.f64 (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b)))) 3) (*.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) -1/6)))) 1) (/.f64 1 (+.f64 1 (exp.f64 b)))))) |
(fma.f64 a (*.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) (+.f64 1 (exp.f64 b))) -1/2 (*.f64 1/2 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) 2)))) (*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (+.f64 (+.f64 a (/.f64 (neg.f64 a) (+.f64 1 (exp.f64 b)))) (fma.f64 (pow.f64 a 3) (fma.f64 1/6 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) 3) (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) 2) (+.f64 1 (exp.f64 b))) (fma.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) -1/6 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) 1)))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a)))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a)))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a)))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a)))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a)))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a)))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a)))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a)))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
(+.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) b) (+.f64 1 (exp.f64 a))))) |
(+.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (neg.f64 (/.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 (+.f64 1 (exp.f64 a)) b)))) |
(-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (*.f64 (/.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (+.f64 1 (exp.f64 a))) b)) |
(-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(+.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (+.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 (+.f64 (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) b) (+.f64 1 (exp.f64 a)))))) |
(+.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (fma.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (*.f64 (*.f64 b b) (fma.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (neg.f64 (/.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 (+.f64 1 (exp.f64 a)) b))))) |
(-.f64 (*.f64 (+.f64 (*.f64 (*.f64 b b) (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) -1/2 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) 1) (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (*.f64 (/.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (+.f64 1 (exp.f64 a))) b)) |
(fma.f64 (fma.f64 (*.f64 b b) (+.f64 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 -1/2 (+.f64 1 (exp.f64 a)))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) 1) (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 (neg.f64 (exp.f64 a)) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b))) |
(+.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (+.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 1 (exp.f64 a)))) (*.f64 -1/6 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))) (+.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 (+.f64 (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) b) (+.f64 1 (exp.f64 a))))))) |
(+.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (fma.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (*.f64 (pow.f64 b 3) (-.f64 (fma.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 1 (exp.f64 a))) (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) -1/6)) (/.f64 1/6 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (fma.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (*.f64 (*.f64 b b) (fma.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (neg.f64 (/.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 (+.f64 1 (exp.f64 a)) b)))))) |
(+.f64 (*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (+.f64 (*.f64 (pow.f64 b 3) (fma.f64 1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (fma.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) -1/6 (/.f64 -1/6 (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (*.f64 (*.f64 b b) (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) -1/2 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (*.f64 (/.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (+.f64 1 (exp.f64 a))) b))) |
(-.f64 (*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (+.f64 (fma.f64 (pow.f64 b 3) (fma.f64 1/2 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (fma.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) -1/6 (/.f64 -1/6 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) 1) (*.f64 b (*.f64 b (+.f64 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 -1/2 (+.f64 1 (exp.f64 a)))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 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))) |
| 1.0ms | 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 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (exp.f64 b) a) |
| ✓ | 0.0b | (+.f64 1 (+.f64 (exp.f64 b) a)) |
| ✓ | 0.0b | (/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a))) |
Compiled 28 to 11 computations (60.7% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | 0 | (/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a))) |
| 2.0ms | a | @ | 0 | (/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a))) |
| 1.0ms | a | @ | inf | (/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a))) |
| 1.0ms | a | @ | -inf | (+.f64 1 (+.f64 (exp.f64 b) a)) |
| 1.0ms | b | @ | -inf | (/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a))) |
| 1× | batch-egg-rewrite |
| 719× | prod-diff_binary64 |
| 457× | log-prod_binary64 |
| 320× | fma-def_binary64 |
| 304× | pow-prod-down_binary64 |
| 256× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 29 |
| 1 | 191 | 28 |
| 2 | 2751 | 28 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a))) |
(+.f64 1 (+.f64 (exp.f64 b) a)) |
(+.f64 (exp.f64 b) a) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b)))))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 b) (+.f64 a 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b)))))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b))))) 2)) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 2)) (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 b) (+.f64 a 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b)))))) (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (+.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 b) (+.f64 a 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (neg.f64 (+.f64 (exp.f64 b) (+.f64 a 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 b) (+.f64 a 1))) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 2)) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (+.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 b) (+.f64 a 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (+.f64 a 1))) -2) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 b) (+.f64 a 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 2)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (+.f64 a 1))) 2)) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (+.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 b) (+.f64 a 1))) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 b) (+.f64 a 1)))))))) 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| 1× | egg-herbie |
| 448× | fma-def_binary64 |
| 389× | distribute-rgt-neg-in_binary64 |
| 348× | distribute-lft-neg-in_binary64 |
| 290× | associate-*r*_binary64 |
| 274× | times-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 1285 |
| 1 | 297 | 1259 |
| 2 | 1034 | 1214 |
| 3 | 5701 | 1163 |
| 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 (pow.f64 a 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.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 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 3)) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.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 (exp.f64 a) a) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (/.f64 (exp.f64 a) a)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (pow.f64 a 3)) (/.f64 (exp.f64 a) a))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (pow.f64 a 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (pow.f64 a 3)) (/.f64 (exp.f64 a) a)))) |
(/.f64 (exp.f64 a) a) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (/.f64 (exp.f64 a) a)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (pow.f64 a 3)) (/.f64 (exp.f64 a) a))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (pow.f64 a 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (pow.f64 a 3)) (/.f64 (exp.f64 a) a)))) |
(/.f64 (exp.f64 a) (+.f64 2 a)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 2)))) (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 b 3) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 2)))) (+.f64 2 a))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 2))))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 2)))) (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a))))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b)))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b)))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b)))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b)))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b)))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b)))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b)))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b)))) |
(+.f64 2 a) |
(+.f64 2 (+.f64 a b)) |
(+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) |
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 (exp.f64 b)) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
a |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
a |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 a) |
(+.f64 1 (+.f64 a b)) |
(+.f64 1 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) |
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))) |
(+.f64 a (exp.f64 b)) |
(+.f64 a (exp.f64 b)) |
(+.f64 a (exp.f64 b)) |
(+.f64 a (exp.f64 b)) |
(+.f64 a (exp.f64 b)) |
(+.f64 a (exp.f64 b)) |
(+.f64 a (exp.f64 b)) |
(+.f64 a (exp.f64 b)) |
(exp.f64 b) |
(+.f64 a (exp.f64 b)) |
(+.f64 a (exp.f64 b)) |
(+.f64 a (exp.f64 b)) |
a |
(+.f64 a (exp.f64 b)) |
(+.f64 a (exp.f64 b)) |
(+.f64 a (exp.f64 b)) |
a |
(+.f64 a (exp.f64 b)) |
(+.f64 a (exp.f64 b)) |
(+.f64 a (exp.f64 b)) |
| 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 (pow.f64 a 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.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))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.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))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.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))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(fma.f64 a (*.f64 a (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -1 (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 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 3)) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.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))) (fma.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 3) (fma.f64 (*.f64 a a) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.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))) (fma.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 3) (fma.f64 (*.f64 a a) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.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 1/6 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))))) (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 a a) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.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 1/6 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))))) (pow.f64 a 3) (fma.f64 a (*.f64 a (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -1 (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) a) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (/.f64 (exp.f64 a) a)) |
(fma.f64 -1 (/.f64 (exp.f64 a) (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b)))) (/.f64 (exp.f64 a) a)) |
(-.f64 (/.f64 (exp.f64 a) a) (*.f64 (/.f64 (exp.f64 a) a) (/.f64 (+.f64 1 (exp.f64 b)) a))) |
(-.f64 (/.f64 (exp.f64 a) a) (*.f64 (+.f64 1 (exp.f64 b)) (/.f64 (exp.f64 a) (*.f64 a a)))) |
(*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 1 (exp.f64 b)) a)) 1) (/.f64 (exp.f64 a) a)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (pow.f64 a 3)) (/.f64 (exp.f64 a) a))) |
(fma.f64 -1 (/.f64 (exp.f64 a) (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 (exp.f64 a) a) (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) |
(+.f64 (-.f64 (/.f64 (exp.f64 a) a) (*.f64 (/.f64 (exp.f64 a) a) (/.f64 (+.f64 1 (exp.f64 b)) a))) (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) |
(-.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (*.f64 a a)) 1) (/.f64 (exp.f64 a) a)) (*.f64 (+.f64 1 (exp.f64 b)) (/.f64 (exp.f64 a) (*.f64 a a)))) |
(*.f64 (/.f64 (exp.f64 a) a) (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (*.f64 a a)) 1) (/.f64 (+.f64 1 (exp.f64 b)) a))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (pow.f64 a 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (pow.f64 a 3)) (/.f64 (exp.f64 a) a)))) |
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) (exp.f64 a)) (pow.f64 a 4)) (fma.f64 -1 (/.f64 (exp.f64 a) (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 (exp.f64 a) a) (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) |
(-.f64 (+.f64 (-.f64 (/.f64 (exp.f64 a) a) (*.f64 (/.f64 (exp.f64 a) a) (/.f64 (+.f64 1 (exp.f64 b)) a))) (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 a 4)) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) |
(-.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (*.f64 a a)) 1) (/.f64 (exp.f64 a) a)) (*.f64 (/.f64 (exp.f64 a) (*.f64 a a)) (+.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) (*.f64 a a)) (+.f64 1 (exp.f64 b))))) |
(+.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 1 (exp.f64 b)) a)) 1) (/.f64 (exp.f64 a) a)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 a 3)) (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) a)))) |
(/.f64 (exp.f64 a) a) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (/.f64 (exp.f64 a) a)) |
(fma.f64 -1 (/.f64 (exp.f64 a) (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b)))) (/.f64 (exp.f64 a) a)) |
(-.f64 (/.f64 (exp.f64 a) a) (*.f64 (/.f64 (exp.f64 a) a) (/.f64 (+.f64 1 (exp.f64 b)) a))) |
(-.f64 (/.f64 (exp.f64 a) a) (*.f64 (+.f64 1 (exp.f64 b)) (/.f64 (exp.f64 a) (*.f64 a a)))) |
(*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 1 (exp.f64 b)) a)) 1) (/.f64 (exp.f64 a) a)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (pow.f64 a 3)) (/.f64 (exp.f64 a) a))) |
(fma.f64 -1 (/.f64 (exp.f64 a) (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 (exp.f64 a) a) (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) |
(+.f64 (-.f64 (/.f64 (exp.f64 a) a) (*.f64 (/.f64 (exp.f64 a) a) (/.f64 (+.f64 1 (exp.f64 b)) a))) (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) |
(-.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (*.f64 a a)) 1) (/.f64 (exp.f64 a) a)) (*.f64 (+.f64 1 (exp.f64 b)) (/.f64 (exp.f64 a) (*.f64 a a)))) |
(*.f64 (/.f64 (exp.f64 a) a) (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (*.f64 a a)) 1) (/.f64 (+.f64 1 (exp.f64 b)) a))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (pow.f64 a 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (pow.f64 a 3)) (/.f64 (exp.f64 a) a)))) |
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) (exp.f64 a)) (pow.f64 a 4)) (fma.f64 -1 (/.f64 (exp.f64 a) (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 (exp.f64 a) a) (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) |
(-.f64 (+.f64 (-.f64 (/.f64 (exp.f64 a) a) (*.f64 (/.f64 (exp.f64 a) a) (/.f64 (+.f64 1 (exp.f64 b)) a))) (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 a 4)) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) |
(-.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (*.f64 a a)) 1) (/.f64 (exp.f64 a) a)) (*.f64 (/.f64 (exp.f64 a) (*.f64 a a)) (+.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) (*.f64 a a)) (+.f64 1 (exp.f64 b))))) |
(+.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 1 (exp.f64 b)) a)) 1) (/.f64 (exp.f64 a) a)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 a 3)) (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) a)))) |
(/.f64 (exp.f64 a) (+.f64 2 a)) |
(/.f64 (exp.f64 a) (+.f64 a 2)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a))) |
(fma.f64 -1 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 a 2) 2)) (/.f64 (exp.f64 a) (+.f64 a 2))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)))) |
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (/.f64 (exp.f64 a) (+.f64 a 2))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 2)))) (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a)))) |
(fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 3)) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)))) (*.f64 b b)) (fma.f64 -1 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 a 2) 2)) (/.f64 (exp.f64 a) (+.f64 a 2)))) |
(-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) b)) (*.f64 b (*.f64 b (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 3)))))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 b (+.f64 (*.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) (+.f64 (/.f64 -1 (+.f64 a 2)) 1/2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2))))) |
(fma.f64 (*.f64 b b) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) (-.f64 (/.f64 1 (+.f64 a 2)) 1/2)) (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (/.f64 (exp.f64 a) (+.f64 a 2)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 b 3) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 2)))) (+.f64 2 a))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 2))))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 a) 2)))) (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a))))) |
(fma.f64 -1 (*.f64 (pow.f64 b 3) (fma.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 3)) (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 3)) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)))) (+.f64 a 2)) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)))))) (fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 3)) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)))) (*.f64 b b)) (fma.f64 -1 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 a 2) 2)) (/.f64 (exp.f64 a) (+.f64 a 2))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) b)) (*.f64 b (*.f64 b (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 3)))))) (*.f64 (pow.f64 b 3) (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 3)) -1/2 (-.f64 (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2))) (/.f64 (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 3))) (+.f64 a 2)))))) |
(-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) (*.f64 b (+.f64 (*.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) (+.f64 (/.f64 -1 (+.f64 a 2)) 1/2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2))))) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) (+.f64 1/6 (/.f64 -1/2 (+.f64 a 2)))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) (+.f64 (/.f64 -1 (+.f64 a 2)) 1/2)) (+.f64 a 2))))) |
(fma.f64 (pow.f64 b 3) (-.f64 (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) (+.f64 (/.f64 -1 (+.f64 a 2)) 1/2)) (+.f64 a 2)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) (+.f64 1/6 (/.f64 -1/2 (+.f64 a 2))))) (fma.f64 (*.f64 b b) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 a 2) 2)) (-.f64 (/.f64 1 (+.f64 a 2)) 1/2)) (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (/.f64 (exp.f64 a) (+.f64 a 2))))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b)))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b)))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b)))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b)))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b)))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b)))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b)))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b)))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a))) |
(+.f64 2 a) |
(+.f64 a 2) |
(+.f64 2 (+.f64 a b)) |
(+.f64 2 (+.f64 b a)) |
(+.f64 b (+.f64 a 2)) |
(+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) |
(+.f64 2 (+.f64 (+.f64 b a) (*.f64 1/2 (*.f64 b b)))) |
(+.f64 a (+.f64 (fma.f64 1/2 (*.f64 b b) b) 2)) |
(+.f64 b (+.f64 a (fma.f64 b (*.f64 b 1/2) 2))) |
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))) |
(fma.f64 1/6 (pow.f64 b 3) (+.f64 2 (+.f64 (+.f64 b a) (*.f64 1/2 (*.f64 b b))))) |
(+.f64 (+.f64 a (fma.f64 1/2 (*.f64 b b) b)) (fma.f64 1/6 (pow.f64 b 3) 2)) |
(+.f64 2 (fma.f64 1/6 (pow.f64 b 3) (fma.f64 b (*.f64 b 1/2) (+.f64 b a)))) |
(+.f64 (+.f64 (fma.f64 1/6 (pow.f64 b 3) 2) b) (fma.f64 b (*.f64 b 1/2) a)) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 (+.f64 (exp.f64 b) a)) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 (+.f64 (exp.f64 b) a)) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 (+.f64 (exp.f64 b) a)) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 (+.f64 (exp.f64 b) a)) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 (+.f64 (exp.f64 b) a)) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 (+.f64 (exp.f64 b) a)) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 (+.f64 (exp.f64 b) a)) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 (+.f64 (exp.f64 b) a)) |
(+.f64 1 (exp.f64 b)) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 (+.f64 (exp.f64 b) a)) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 (+.f64 (exp.f64 b) a)) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 (+.f64 (exp.f64 b) a)) |
a |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 (+.f64 (exp.f64 b) a)) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 (+.f64 (exp.f64 b) a)) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 (+.f64 (exp.f64 b) a)) |
a |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 (+.f64 (exp.f64 b) a)) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 (+.f64 (exp.f64 b) a)) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 (+.f64 (exp.f64 b) a)) |
(+.f64 1 a) |
(+.f64 1 (+.f64 a b)) |
(+.f64 1 (+.f64 b a)) |
(+.f64 b (+.f64 1 a)) |
(+.f64 a (+.f64 1 b)) |
(+.f64 1 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) |
(+.f64 1 (+.f64 (+.f64 b a) (*.f64 1/2 (*.f64 b b)))) |
(+.f64 (fma.f64 1/2 (*.f64 b b) b) (+.f64 1 a)) |
(+.f64 1 (fma.f64 b (*.f64 b 1/2) (+.f64 b a))) |
(+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) a))) |
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))) |
(fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (+.f64 b a) (*.f64 1/2 (*.f64 b b))))) |
(+.f64 (+.f64 a (fma.f64 1/2 (*.f64 b b) b)) (fma.f64 1/6 (pow.f64 b 3) 1)) |
(+.f64 1 (fma.f64 1/6 (pow.f64 b 3) (fma.f64 b (*.f64 b 1/2) (+.f64 b a)))) |
(+.f64 1 (fma.f64 1/6 (pow.f64 b 3) (+.f64 b (fma.f64 b (*.f64 b 1/2) a)))) |
(+.f64 a (exp.f64 b)) |
(+.f64 (exp.f64 b) a) |
(+.f64 a (exp.f64 b)) |
(+.f64 (exp.f64 b) a) |
(+.f64 a (exp.f64 b)) |
(+.f64 (exp.f64 b) a) |
(+.f64 a (exp.f64 b)) |
(+.f64 (exp.f64 b) a) |
(+.f64 a (exp.f64 b)) |
(+.f64 (exp.f64 b) a) |
(+.f64 a (exp.f64 b)) |
(+.f64 (exp.f64 b) a) |
(+.f64 a (exp.f64 b)) |
(+.f64 (exp.f64 b) a) |
(+.f64 a (exp.f64 b)) |
(+.f64 (exp.f64 b) a) |
(exp.f64 b) |
(+.f64 a (exp.f64 b)) |
(+.f64 (exp.f64 b) a) |
(+.f64 a (exp.f64 b)) |
(+.f64 (exp.f64 b) a) |
(+.f64 a (exp.f64 b)) |
(+.f64 (exp.f64 b) a) |
a |
(+.f64 a (exp.f64 b)) |
(+.f64 (exp.f64 b) a) |
(+.f64 a (exp.f64 b)) |
(+.f64 (exp.f64 b) a) |
(+.f64 a (exp.f64 b)) |
(+.f64 (exp.f64 b) a) |
a |
(+.f64 a (exp.f64 b)) |
(+.f64 (exp.f64 b) a) |
(+.f64 a (exp.f64 b)) |
(+.f64 (exp.f64 b) a) |
(+.f64 a (exp.f64 b)) |
(+.f64 (exp.f64 b) a) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b)))) |
| ✓ | 0.0b | (+.f64 a (exp.f64 b)) |
| ✓ | 0.0b | (+.f64 1 (+.f64 a (exp.f64 b))) |
| ✓ | 0.0b | (/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))) |
Compiled 56 to 31 computations (44.6% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | inf | (/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))) |
| 1.0ms | b | @ | 0 | (/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))) |
| 1.0ms | a | @ | inf | (/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))) |
| 1.0ms | a | @ | -inf | (/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))) |
| 1.0ms | a | @ | 0 | (/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))) |
| 1× | batch-egg-rewrite |
| 706× | fma-def_binary64 |
| 678× | log-prod_binary64 |
| 396× | fma-neg_binary64 |
| 263× | expm1-udef_binary64 |
| 263× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 52 |
| 1 | 309 | 52 |
| 2 | 4302 | 52 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 a (exp.f64 b)) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b)))) |
| Outputs |
|---|
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(exp.f64 b) (+.f64 a 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 a 4) 1/4)) (cbrt.f64 (*.f64 a (*.f64 a 1/2))) (+.f64 (exp.f64 b) (+.f64 a 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a (exp.f64 b))) (sqrt.f64 (+.f64 a (exp.f64 b))) (fma.f64 1/2 (*.f64 a a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (exp.f64 b) (+.f64 a 1))) (sqrt.f64 (+.f64 (exp.f64 b) (+.f64 a 1))) (*.f64 a (*.f64 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 1/2)) (*.f64 a (sqrt.f64 1/2)) (+.f64 (exp.f64 b) (+.f64 a 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 a 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) a) (*.f64 a a))) (fma.f64 1/2 (*.f64 a a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (+.f64 a (exp.f64 b)) 3)) (/.f64 1 (fma.f64 (+.f64 a (exp.f64 b)) (-.f64 (+.f64 a (exp.f64 b)) 1) 1)) (*.f64 a (*.f64 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 a a) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 a (exp.f64 b))) (fma.f64 1/2 (*.f64 a a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (+.f64 a (exp.f64 b)) 2)) (/.f64 1 (-.f64 1 (+.f64 a (exp.f64 b)))) (*.f64 a (*.f64 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/2 (*.f64 a a) 1) 1 (+.f64 a (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 a a) 1)) (cbrt.f64 (fma.f64 1/2 (*.f64 a a) 1))) (cbrt.f64 (fma.f64 1/2 (*.f64 a a) 1)) (+.f64 a (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 a 1)) (cbrt.f64 (+.f64 a 1))) (cbrt.f64 (+.f64 a 1)) (+.f64 (exp.f64 b) (*.f64 a (*.f64 a 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 a (sqrt.f64 1/2))) (hypot.f64 1 (*.f64 a (sqrt.f64 1/2))) (+.f64 a (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a 1)) (sqrt.f64 (+.f64 a 1)) (+.f64 (exp.f64 b) (*.f64 a (*.f64 a 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 a) a (+.f64 (exp.f64 b) (+.f64 a 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 a 4))) (pow.f64 (cbrt.f64 a) 2) (+.f64 (exp.f64 b) (+.f64 a 1))))))) |
| 1× | egg-herbie |
| 764× | fma-neg_binary64 |
| 713× | fma-def_binary64 |
| 443× | associate-+l+_binary64 |
| 381× | associate-*r*_binary64 |
| 377× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 1267 |
| 1 | 414 | 1231 |
| 2 | 1483 | 1140 |
| 3 | 7523 | 1140 |
| 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 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.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 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)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (pow.f64 a 3)) (+.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 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) |
(+.f64 (*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (*.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (exp.f64 a)) (*.f64 4 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 4))) (+.f64 (*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (*.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (+.f64 (*.f64 -8 (exp.f64 a)) (*.f64 4 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b)))))) (*.f64 -8 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (exp.f64 a)) (*.f64 4 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 4))) (+.f64 (*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (*.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3)))))) |
(*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) |
(+.f64 (*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (*.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (exp.f64 a)) (*.f64 4 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 4))) (+.f64 (*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (*.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3))))) |
(+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -8 (exp.f64 a)) (*.f64 4 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (exp.f64 a)) (*.f64 4 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 4))) (+.f64 (*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (+.f64 (*.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (*.f64 8 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 5))))))) |
(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2)))))) (+.f64 (/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b 3) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2)))) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2))))))) (+.f64 (/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2)))))) |
(+.f64 1 (exp.f64 b)) |
a |
a |
(+.f64 2 a) |
(+.f64 2 (+.f64 a b)) |
(+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) |
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))) |
(exp.f64 b) |
a |
a |
(+.f64 1 a) |
(+.f64 1 (+.f64 a b)) |
(+.f64 1 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) |
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))) |
(+.f64 1 (exp.f64 b)) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(*.f64 1/2 (pow.f64 a 2)) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) a) |
(*.f64 1/2 (pow.f64 a 2)) |
(+.f64 (*.f64 1/2 (pow.f64 a 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 b))) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))) |
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.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 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))))) |
(+.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 1/6 (/.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 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)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (pow.f64 a 3)) (+.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 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.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 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))) (/.f64 1/2 (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 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 1/6 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))))) (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 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 -1/2 (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))))) (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 1/6 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 -1/2 (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.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))))) (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 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) |
(*.f64 2 (/.f64 (exp.f64 a) (*.f64 a a))) |
(+.f64 (*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (*.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3)))) |
(fma.f64 2 (/.f64 (exp.f64 a) (*.f64 a a)) (*.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3)))) |
(*.f64 (/.f64 (exp.f64 a) (*.f64 a a)) (+.f64 2 (/.f64 -4 a))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (exp.f64 a)) (*.f64 4 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 4))) (+.f64 (*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (*.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3))))) |
(fma.f64 -1 (/.f64 (fma.f64 -8 (exp.f64 a) (*.f64 (*.f64 4 (exp.f64 a)) (+.f64 1 (exp.f64 b)))) (pow.f64 a 4)) (fma.f64 2 (/.f64 (exp.f64 a) (*.f64 a a)) (*.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3))))) |
(-.f64 (fma.f64 2 (/.f64 (exp.f64 a) (*.f64 a a)) (*.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3)))) (/.f64 (fma.f64 4 (+.f64 (exp.f64 a) (exp.f64 (+.f64 b a))) (*.f64 (exp.f64 a) -8)) (pow.f64 a 4))) |
(-.f64 (*.f64 (/.f64 (exp.f64 a) (*.f64 a a)) (+.f64 2 (/.f64 -4 a))) (/.f64 (*.f64 (exp.f64 a) (+.f64 (+.f64 4 (*.f64 4 (exp.f64 b))) -8)) (pow.f64 a 4))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (+.f64 (*.f64 -8 (exp.f64 a)) (*.f64 4 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b)))))) (*.f64 -8 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (exp.f64 a)) (*.f64 4 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 4))) (+.f64 (*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (*.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3)))))) |
(fma.f64 -1 (/.f64 (fma.f64 -2 (fma.f64 -8 (exp.f64 a) (*.f64 (*.f64 4 (exp.f64 a)) (+.f64 1 (exp.f64 b)))) (*.f64 -8 (*.f64 (+.f64 1 (exp.f64 b)) (exp.f64 a)))) (pow.f64 a 5)) (fma.f64 -1 (/.f64 (fma.f64 -8 (exp.f64 a) (*.f64 (*.f64 4 (exp.f64 a)) (+.f64 1 (exp.f64 b)))) (pow.f64 a 4)) (fma.f64 2 (/.f64 (exp.f64 a) (*.f64 a a)) (*.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3)))))) |
(-.f64 (-.f64 (fma.f64 2 (/.f64 (exp.f64 a) (*.f64 a a)) (*.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3)))) (/.f64 (fma.f64 4 (+.f64 (exp.f64 a) (exp.f64 (+.f64 b a))) (*.f64 (exp.f64 a) -8)) (pow.f64 a 4))) (/.f64 (fma.f64 -8 (+.f64 (exp.f64 a) (exp.f64 (+.f64 b a))) (+.f64 (*.f64 (exp.f64 a) (*.f64 (+.f64 1 (exp.f64 b)) -8)) (*.f64 (exp.f64 a) 16))) (pow.f64 a 5))) |
(-.f64 (-.f64 (*.f64 (/.f64 (exp.f64 a) (*.f64 a a)) (+.f64 2 (/.f64 -4 a))) (/.f64 (*.f64 (exp.f64 a) (+.f64 (+.f64 4 (*.f64 4 (exp.f64 b))) -8)) (pow.f64 a 4))) (/.f64 (fma.f64 (exp.f64 a) 16 (*.f64 (+.f64 (exp.f64 a) (exp.f64 (+.f64 b a))) -16)) (pow.f64 a 5))) |
(*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) |
(*.f64 2 (/.f64 (exp.f64 a) (*.f64 a a))) |
(+.f64 (*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (*.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3)))) |
(fma.f64 2 (/.f64 (exp.f64 a) (*.f64 a a)) (*.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3)))) |
(*.f64 (/.f64 (exp.f64 a) (*.f64 a a)) (+.f64 2 (/.f64 -4 a))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (exp.f64 a)) (*.f64 4 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 4))) (+.f64 (*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (*.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3))))) |
(fma.f64 -1 (/.f64 (fma.f64 -8 (exp.f64 a) (*.f64 (*.f64 4 (exp.f64 a)) (+.f64 1 (exp.f64 b)))) (pow.f64 a 4)) (fma.f64 2 (/.f64 (exp.f64 a) (*.f64 a a)) (*.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3))))) |
(-.f64 (fma.f64 2 (/.f64 (exp.f64 a) (*.f64 a a)) (*.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3)))) (/.f64 (fma.f64 4 (+.f64 (exp.f64 a) (exp.f64 (+.f64 b a))) (*.f64 (exp.f64 a) -8)) (pow.f64 a 4))) |
(-.f64 (*.f64 (/.f64 (exp.f64 a) (*.f64 a a)) (+.f64 2 (/.f64 -4 a))) (/.f64 (*.f64 (exp.f64 a) (+.f64 (+.f64 4 (*.f64 4 (exp.f64 b))) -8)) (pow.f64 a 4))) |
(+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -8 (exp.f64 a)) (*.f64 4 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (exp.f64 a)) (*.f64 4 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 4))) (+.f64 (*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (+.f64 (*.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (*.f64 8 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 5))))))) |
(fma.f64 2 (/.f64 (fma.f64 -8 (exp.f64 a) (*.f64 (*.f64 4 (exp.f64 a)) (+.f64 1 (exp.f64 b)))) (pow.f64 a 5)) (fma.f64 -1 (/.f64 (fma.f64 -8 (exp.f64 a) (*.f64 (*.f64 4 (exp.f64 a)) (+.f64 1 (exp.f64 b)))) (pow.f64 a 4)) (fma.f64 2 (/.f64 (exp.f64 a) (*.f64 a a)) (fma.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3)) (*.f64 8 (/.f64 (exp.f64 a) (/.f64 (pow.f64 a 5) (+.f64 1 (exp.f64 b))))))))) |
(fma.f64 2 (/.f64 (fma.f64 4 (+.f64 (exp.f64 a) (exp.f64 (+.f64 b a))) (*.f64 (exp.f64 a) -8)) (pow.f64 a 5)) (-.f64 (fma.f64 2 (/.f64 (exp.f64 a) (*.f64 a a)) (fma.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3)) (*.f64 8 (*.f64 (/.f64 (exp.f64 a) (pow.f64 a 5)) (+.f64 1 (exp.f64 b)))))) (/.f64 (fma.f64 4 (+.f64 (exp.f64 a) (exp.f64 (+.f64 b a))) (*.f64 (exp.f64 a) -8)) (pow.f64 a 4)))) |
(-.f64 (fma.f64 2 (/.f64 (*.f64 (exp.f64 a) (+.f64 (+.f64 4 (*.f64 4 (exp.f64 b))) -8)) (pow.f64 a 5)) (fma.f64 8 (*.f64 (+.f64 1 (exp.f64 b)) (/.f64 (exp.f64 a) (pow.f64 a 5))) (*.f64 (/.f64 (exp.f64 a) (*.f64 a a)) (+.f64 2 (/.f64 -4 a))))) (/.f64 (*.f64 (exp.f64 a) (+.f64 (+.f64 4 (*.f64 4 (exp.f64 b))) -8)) (pow.f64 a 4))) |
(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))) |
(/.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 a a) (+.f64 a 2))) |
(/.f64 (exp.f64 a) (+.f64 2 (fma.f64 1/2 (*.f64 a a) a))) |
(/.f64 (exp.f64 a) (fma.f64 a (*.f64 a 1/2) (+.f64 a 2))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2)))) |
(+.f64 (/.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 a a) (+.f64 a 2))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (fma.f64 1/2 (*.f64 a a) (+.f64 a 2)) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 2 (fma.f64 1/2 (*.f64 a a) a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 (fma.f64 1/2 (*.f64 a a) a)) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (fma.f64 a (*.f64 a 1/2) (+.f64 a 2))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (fma.f64 a (*.f64 a 1/2) (+.f64 a 2)) 2)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2)))))) (+.f64 (/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2))))) |
(fma.f64 -1 (*.f64 (*.f64 b b) (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (fma.f64 1/2 (*.f64 a a) (+.f64 a 2)) 3)) (/.f64 (*.f64 1/2 (exp.f64 a)) (pow.f64 (fma.f64 1/2 (*.f64 a a) (+.f64 a 2)) 2)))) (+.f64 (/.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 a a) (+.f64 a 2))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (fma.f64 1/2 (*.f64 a a) (+.f64 a 2)) 2) b))))) |
(-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 2 (fma.f64 1/2 (*.f64 a a) a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 (fma.f64 1/2 (*.f64 a a) a)) 2)) b)) (*.f64 (*.f64 b b) (fma.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 (fma.f64 1/2 (*.f64 a a) a)) 2)) (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 2 (fma.f64 1/2 (*.f64 a a) a)) 3))))) |
(-.f64 (/.f64 (exp.f64 a) (fma.f64 a (*.f64 a 1/2) (+.f64 a 2))) (+.f64 (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (fma.f64 a (*.f64 a 1/2) (+.f64 a 2)) 2))) (*.f64 b (*.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (fma.f64 a (*.f64 a 1/2) (+.f64 a 2)) 2)) (+.f64 (/.f64 -1 (fma.f64 a (*.f64 a 1/2) (+.f64 a 2))) 1/2)))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b 3) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2)))) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2))))))) (+.f64 (/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2)))))) |
(fma.f64 -1 (*.f64 (*.f64 b b) (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (fma.f64 1/2 (*.f64 a a) (+.f64 a 2)) 3)) (/.f64 (*.f64 1/2 (exp.f64 a)) (pow.f64 (fma.f64 1/2 (*.f64 a a) (+.f64 a 2)) 2)))) (fma.f64 -1 (*.f64 (pow.f64 b 3) (fma.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (fma.f64 1/2 (*.f64 a a) (+.f64 a 2)) 3)) (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (fma.f64 1/2 (*.f64 a a) (+.f64 a 2)) 3)) (/.f64 (*.f64 1/2 (exp.f64 a)) (pow.f64 (fma.f64 1/2 (*.f64 a a) (+.f64 a 2)) 2))) (fma.f64 1/2 (*.f64 a a) (+.f64 a 2))) (/.f64 (*.f64 1/6 (exp.f64 a)) (pow.f64 (fma.f64 1/2 (*.f64 a a) (+.f64 a 2)) 2))))) (+.f64 (/.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 a a) (+.f64 a 2))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (fma.f64 1/2 (*.f64 a a) (+.f64 a 2)) 2) b)))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 2 (fma.f64 1/2 (*.f64 a a) a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 (fma.f64 1/2 (*.f64 a a) a)) 2)) b)) (*.f64 (pow.f64 b 3) (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 (fma.f64 1/2 (*.f64 a a) a)) 3)) -1/2 (-.f64 (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 (fma.f64 1/2 (*.f64 a a) a)) 2))) (/.f64 (fma.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 (fma.f64 1/2 (*.f64 a a) a)) 2)) (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 2 (fma.f64 1/2 (*.f64 a a) a)) 3))) (+.f64 2 (fma.f64 1/2 (*.f64 a a) a))))))) (*.f64 (*.f64 b b) (fma.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 2 (fma.f64 1/2 (*.f64 a a) a)) 2)) (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 2 (fma.f64 1/2 (*.f64 a a) a)) 3))))) |
(-.f64 (-.f64 (/.f64 (exp.f64 a) (fma.f64 a (*.f64 a 1/2) (+.f64 a 2))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (fma.f64 a (*.f64 a 1/2) (+.f64 a 2)) 2)))) (*.f64 (*.f64 b b) (+.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (fma.f64 a (*.f64 a 1/2) (+.f64 a 2)) 2)) (+.f64 (/.f64 -1 (fma.f64 a (*.f64 a 1/2) (+.f64 a 2))) 1/2)) (*.f64 b (-.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (fma.f64 a (*.f64 a 1/2) (+.f64 a 2)) 2)) (+.f64 1/6 (/.f64 -1/2 (fma.f64 a (*.f64 a 1/2) (+.f64 a 2))))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (fma.f64 a (*.f64 a 1/2) (+.f64 a 2)) 2)) (+.f64 (/.f64 -1 (fma.f64 a (*.f64 a 1/2) (+.f64 a 2))) 1/2)) (fma.f64 a (*.f64 a 1/2) (+.f64 a 2)))))))) |
(+.f64 1 (exp.f64 b)) |
a |
a |
(+.f64 2 a) |
(+.f64 a 2) |
(+.f64 2 (+.f64 a b)) |
(+.f64 (+.f64 a 2) b) |
(+.f64 b (+.f64 a 2)) |
(+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) |
(+.f64 2 (+.f64 (+.f64 b a) (*.f64 1/2 (*.f64 b b)))) |
(+.f64 a (+.f64 (fma.f64 1/2 (*.f64 b b) b) 2)) |
(+.f64 (+.f64 a 2) (fma.f64 b (*.f64 b 1/2) b)) |
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))) |
(fma.f64 1/6 (pow.f64 b 3) (+.f64 2 (+.f64 (+.f64 b a) (*.f64 1/2 (*.f64 b b))))) |
(+.f64 (+.f64 (fma.f64 1/6 (pow.f64 b 3) 2) a) (fma.f64 1/2 (*.f64 b b) b)) |
(fma.f64 1/6 (pow.f64 b 3) (+.f64 (+.f64 a 2) (fma.f64 b (*.f64 b 1/2) b))) |
(exp.f64 b) |
a |
a |
(+.f64 1 a) |
(+.f64 1 (+.f64 a b)) |
(+.f64 1 (+.f64 b a)) |
(+.f64 1 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) |
(+.f64 1 (+.f64 (+.f64 b a) (*.f64 1/2 (*.f64 b b)))) |
(+.f64 (fma.f64 1/2 (*.f64 b b) b) (+.f64 1 a)) |
(+.f64 b (+.f64 a (fma.f64 b (*.f64 b 1/2) 1))) |
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))) |
(fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (+.f64 b a) (*.f64 1/2 (*.f64 b b))))) |
(+.f64 (+.f64 a (fma.f64 1/2 (*.f64 b b) b)) (fma.f64 1/6 (pow.f64 b 3) 1)) |
(+.f64 1 (fma.f64 1/6 (pow.f64 b 3) (+.f64 b (fma.f64 b (*.f64 b 1/2) a)))) |
(+.f64 1 (exp.f64 b)) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 (+.f64 (exp.f64 b) a)) |
(*.f64 1/2 (pow.f64 a 2)) |
(*.f64 1/2 (*.f64 a a)) |
(*.f64 a (*.f64 a 1/2)) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) a) |
(fma.f64 1/2 (*.f64 a a) a) |
(fma.f64 a (*.f64 a 1/2) a) |
(*.f64 1/2 (pow.f64 a 2)) |
(*.f64 1/2 (*.f64 a a)) |
(*.f64 a (*.f64 a 1/2)) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) a) |
(fma.f64 1/2 (*.f64 a a) a) |
(fma.f64 a (*.f64 a 1/2) a) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) |
(fma.f64 1/2 (*.f64 a a) (+.f64 a 2)) |
(+.f64 2 (fma.f64 1/2 (*.f64 a a) a)) |
(fma.f64 a (*.f64 a 1/2) (+.f64 a 2)) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a b))) |
(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 a 2) b)) |
(+.f64 (+.f64 2 (fma.f64 1/2 (*.f64 a a) a)) b) |
(+.f64 b (fma.f64 a (*.f64 a 1/2) (+.f64 a 2))) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))) |
(fma.f64 1/2 (*.f64 a a) (+.f64 2 (+.f64 (+.f64 b a) (*.f64 1/2 (*.f64 b b))))) |
(+.f64 (+.f64 2 (fma.f64 1/2 (*.f64 a a) a)) (fma.f64 1/2 (*.f64 b b) b)) |
(+.f64 (fma.f64 a (*.f64 a 1/2) (+.f64 b a)) (fma.f64 b (*.f64 b 1/2) 2)) |
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))) |
(fma.f64 1/6 (pow.f64 b 3) (fma.f64 1/2 (*.f64 a a) (+.f64 2 (+.f64 (+.f64 b a) (*.f64 1/2 (*.f64 b b)))))) |
(fma.f64 1/6 (pow.f64 b 3) (+.f64 (+.f64 2 (fma.f64 1/2 (*.f64 a a) a)) (fma.f64 1/2 (*.f64 b b) b))) |
(+.f64 (fma.f64 1/6 (pow.f64 b 3) 2) (fma.f64 a (*.f64 a 1/2) (+.f64 b (fma.f64 b (*.f64 b 1/2) a)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (exp.f64 a) (exp.f64 b)) | |
| ✓ | 0.0b | (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) |
| ✓ | 0.3b | (pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) |
| 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 | |
|---|---|---|---|---|
| 3.0ms | a | @ | 0 | (pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) |
| 2.0ms | b | @ | 0 | (pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) |
| 1.0ms | a | @ | 0 | (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) |
| 1.0ms | b | @ | 0 | (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) |
| 1.0ms | a | @ | inf | (pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) |
| 1× | batch-egg-rewrite |
| 485× | prod-diff_binary64 |
| 446× | log-prod_binary64 |
| 332× | exp-prod_binary64 |
| 284× | pow-prod-down_binary64 |
| 243× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 28 |
| 1 | 213 | 28 |
| 2 | 2578 | 28 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) |
(sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) |
| Outputs |
|---|
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(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1) 2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.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 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.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 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule 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#<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (*.f64 1/2 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (exp.f64 a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) 2)) (cbrt.f64 (*.f64 1/2 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (sqrt.f64 (*.f64 1/2 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.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))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/2 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1) 1)))))) |
| 1× | egg-herbie |
| 881× | fma-def_binary64 |
| 839× | distribute-rgt-in_binary64 |
| 819× | distribute-lft-in_binary64 |
| 695× | associate-*l*_binary64 |
| 142× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 138 | 2179 |
| 1 | 458 | 2130 |
| 2 | 1779 | 1977 |
| 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 (*.f64 1/4 (*.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2) (+.f64 1 (exp.f64 b)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (sqrt.f64 (+.f64 1 (exp.f64 b))))) 2) (*.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 (*.f64 1/4 (*.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2) (+.f64 1 (exp.f64 b)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (sqrt.f64 (+.f64 1 (exp.f64 b))))) 2) (*.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 (+.f64 (*.f64 1/4 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 -1 (+.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) 2) (+.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 (+.f64 (*.f64 1/4 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 -1 (+.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) 2) (+.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 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 (pow.f64 b 3) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) 2) (+.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 -1 (+.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 (+.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) 2) (+.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)))))))))))) |
(/.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))) |
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 1/2 (*.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (sqrt.f64 (+.f64 1 (exp.f64 b)))))) |
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (sqrt.f64 (+.f64 1 (exp.f64 b))))) (*.f64 1/2 (*.f64 (*.f64 (pow.f64 a 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (sqrt.f64 (+.f64 1 (exp.f64 b))))) 2) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (sqrt.f64 (+.f64 1 (exp.f64 b))))))) |
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 a 3) (-.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 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (sqrt.f64 (+.f64 1 (exp.f64 b))))) 2) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 1 (exp.f64 b))))) (*.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))))))))) (sqrt.f64 (+.f64 1 (exp.f64 b))))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (sqrt.f64 (+.f64 1 (exp.f64 b))))) (*.f64 1/2 (*.f64 (*.f64 (pow.f64 a 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (sqrt.f64 (+.f64 1 (exp.f64 b))))) 2) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (sqrt.f64 (+.f64 1 (exp.f64 b)))))))) |
(sqrt.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) |
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) b)) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))) |
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) b)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a))) (*.f64 (+.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) 2) (+.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)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))))) |
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a))) (*.f64 (pow.f64 b 3) (+.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 (+.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) 2) (+.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))))))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) b)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a))) (*.f64 (+.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) 2) (+.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)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))))) |
| 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 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 (*.f64 1/4 (*.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2) (+.f64 1 (exp.f64 b)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (sqrt.f64 (+.f64 1 (exp.f64 b))))) 2) (*.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 (fma.f64 1/4 (*.f64 (+.f64 1 (exp.f64 b)) (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (sqrt.f64 (+.f64 1 (exp.f64 b))))) 2) (/.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 (fma.f64 1/4 (*.f64 (+.f64 1 (exp.f64 b)) (pow.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (+.f64 (pow.f64 (*.f64 (*.f64 1/2 (sqrt.f64 (+.f64 1 (exp.f64 b)))) (+.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))))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(fma.f64 a (*.f64 a (+.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2) (*.f64 (+.f64 1 (exp.f64 b)) 1/4) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 (*.f64 1/4 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 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))))) |
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(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 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (/.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 (fma.f64 1/4 (*.f64 (+.f64 1 (exp.f64 b)) (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (sqrt.f64 (+.f64 1 (exp.f64 b))))) 2) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b)))))) |
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(/.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)))) |
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(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (exp.f64 a))) |
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(-.f64 (fma.f64 b (*.f64 b (-.f64 (*.f64 1/4 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (fma.f64 1/4 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2))))) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (exp.f64 a))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 -1 (+.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) 2) (+.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 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 (pow.f64 b 3) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) 2) (+.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 -1 (+.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 (+.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) 2) (+.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)))))))))))) |
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(/.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))) |
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
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(sqrt.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) |
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(fma.f64 -1/2 (*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a))) (pow.f64 b 3)) (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 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) 2) (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 -1/2 (/.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))))))) (fma.f64 -1/2 (*.f64 b (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a))) (*.f64 (+.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) 2) (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 b b))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))))) |
(fma.f64 -1/2 (*.f64 (-.f64 (fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) 2) (-.f64 (/.f64 1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (+.f64 1 (exp.f64 a))) (fma.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (exp.f64 a))))) (/.f64 (-.f64 (/.f64 1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (+.f64 1 (exp.f64 a)))) (*.f64 (pow.f64 b 3) (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a))))) (fma.f64 -1/2 (*.f64 b (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (fma.f64 -1/2 (*.f64 (+.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) 2) (-.f64 (/.f64 1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a))))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))))) |
(fma.f64 -1/2 (*.f64 (pow.f64 b 3) (*.f64 (fma.f64 1/2 (/.f64 (fma.f64 1/4 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.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 (/.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))))) (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a))))) (fma.f64 -1/2 (*.f64 b (+.f64 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 (fma.f64 1/4 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2))) (*.f64 (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a))) b)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))))) |
Compiled 24340 to 12316 computations (49.4% saved)
15 alts after pruning (13 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1077 | 13 | 1090 |
| Fresh | 3 | 0 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 2 | 4 |
| Total | 1083 | 15 | 1098 |
| Status | Error | Program |
|---|---|---|
| ▶ | 42.3b | (+.f64 1/2 (*.f64 -1/4 b)) |
| 23.2b | (/.f64 (exp.f64 a) (+.f64 a 2)) | |
| ✓ | 1.8b | (/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a))) |
| ✓ | 12.9b | (/.f64 1 (+.f64 1 (exp.f64 b))) |
| ▶ | 1.3b | (cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)) |
| 14.4b | (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b))))) | |
| 24.5b | (/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a b)))) | |
| 43.0b | (+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))) | |
| ▶ | 29.3b | (exp.f64 a) |
| 41.0b | 1/2 | |
| ▶ | 22.7b | (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
| 13.2b | (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1) | |
| ▶ | 23.2b | (/.f64 (exp.f64 a) (+.f64 1 (+.f64 1 a))) |
| 12.9b | (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) | |
| 42.5b | (/.f64 1 (+.f64 b 2)) |
Compiled 266 to 210 computations (21.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (exp.f64 a) (exp.f64 b)) | |
| ✓ | 0.0b | (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3) |
| ✓ | 0.3b | (cbrt.f64 (pow.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 43 to 12 computations (72.1% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | a | @ | 0 | (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3) |
| 6.0ms | b | @ | 0 | (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3) |
| 2.0ms | a | @ | inf | (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3) |
| 2.0ms | a | @ | -inf | (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3) |
| 2.0ms | b | @ | inf | (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3) |
| 1× | batch-egg-rewrite |
| 485× | prod-diff_binary64 |
| 461× | log-prod_binary64 |
| 299× | pow-prod-down_binary64 |
| 247× | pow2_binary64 |
| 191× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 29 |
| 1 | 216 | 29 |
| 2 | 2671 | 29 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3) |
| 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 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))) 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(*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (-.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 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1) 1/3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.f64 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(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3/2) (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) 1) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 5/2) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (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 1 (/.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) (exp.f64 (*.f64 3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (*.f64 3 a)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (neg.f64 (exp.f64 a)) 3) (pow.f64 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 (*.f64 3 a))) (neg.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 a) (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (exp.f64 a)) (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) 1) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) (neg.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))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3/2) 2)))))) |
| 1× | egg-herbie |
| 961× | fma-def_binary64 |
| 664× | distribute-rgt-in_binary64 |
| 655× | distribute-lft-in_binary64 |
| 440× | times-frac_binary64 |
| 399× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 193 | 2791 |
| 1 | 654 | 2748 |
| 2 | 2431 | 2578 |
| 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 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) |
(+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 (-.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)))) a)) |
(+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (*.f64 (-.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)))) a) (*.f64 (pow.f64 a 2) (-.f64 (+.f64 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2) (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5)) (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))))) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5))))))) (*.f64 9/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))))))) |
(+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5)) (+.f64 (*.f64 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)))) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5))) (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))))) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 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 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (-.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))))))))))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (*.f64 11/6 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 6))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))))))))) (+.f64 (*.f64 (-.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)))) a) (*.f64 (pow.f64 a 2) (-.f64 (+.f64 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2) (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5)) (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))))) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5))))))) (*.f64 9/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)))))))) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) |
(+.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (*.f64 -1 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 4)))) b) (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) |
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (*.f64 -2 (/.f64 (*.f64 (exp.f64 a) (+.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))))) (exp.f64 a)) (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 -1 (/.f64 (*.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 (exp.f64 a) 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 2 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 5)))))) (+.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (*.f64 -1 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 4)))) b) (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) |
(+.f64 (*.f64 (pow.f64 b 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (*.f64 -2 (/.f64 (*.f64 (exp.f64 a) (+.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))))) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 a) (+.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))))) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 -2 (/.f64 (*.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))))) (exp.f64 a)) (+.f64 1 (exp.f64 a)))))) (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 2 (/.f64 (*.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 (exp.f64 a) 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 -1 (/.f64 (*.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 (exp.f64 a) 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))) (+.f64 (*.f64 (pow.f64 b 2) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (*.f64 -2 (/.f64 (*.f64 (exp.f64 a) (+.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))))) (exp.f64 a)) (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 -1 (/.f64 (*.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 (exp.f64 a) 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 2 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 5)))))) (+.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (*.f64 -1 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 4)))) b) (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.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 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))))) |
(+.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 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (/.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 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 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 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.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 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)))))) |
(/.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 (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 -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 1/2 (/.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 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)))))) |
(-.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 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2)) (*.f64 b 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)))))) |
(fma.f64 -1 (*.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 -1/2 (/.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 1/2 (/.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 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 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (*.f64 (exp.f64 a) -1/2) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.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 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) (*.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 (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 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) |
(+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 (-.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)))) a)) |
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(fma.f64 a (+.f64 (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 4))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) |
(+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (*.f64 (-.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)))) a) (*.f64 (pow.f64 a 2) (-.f64 (+.f64 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2) (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5)) (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))))) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5))))))) (*.f64 9/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))))))) |
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(fma.f64 b (/.f64 (*.f64 (pow.f64 (exp.f64 a) 3) -3) (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) |
(fma.f64 b (/.f64 (pow.f64 (exp.f64 a) 3) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4) -3)) (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) |
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (*.f64 -2 (/.f64 (*.f64 (exp.f64 a) (+.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))))) (exp.f64 a)) (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 -1 (/.f64 (*.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 (exp.f64 a) 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 2 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 5)))))) (+.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (*.f64 -1 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 4)))) b) (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) |
(fma.f64 (*.f64 b b) (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (*.f64 -2 (/.f64 (exp.f64 a) (/.f64 (+.f64 1 (exp.f64 a)) (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 1 (exp.f64 a)) (exp.f64 a))) (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 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (exp.f64 a) 2))) (*.f64 2 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 5))))) (fma.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 4)) -3) b (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) |
(fma.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 -2 (*.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (-.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 (exp.f64 (+.f64 a a)) (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a))) (-.f64 (*.f64 2 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 5))) (*.f64 (/.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))) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (exp.f64 (+.f64 a a))))) (fma.f64 b (/.f64 (*.f64 (pow.f64 (exp.f64 a) 3) -3) (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) |
(fma.f64 (*.f64 b b) (fma.f64 2 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 5)) (-.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (fma.f64 -2 (*.f64 (/.f64 (exp.f64 a) (+.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 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 (exp.f64 a)) 4)))) (*.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2))))) (fma.f64 b (/.f64 (pow.f64 (exp.f64 a) 3) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4) -3)) (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) |
(+.f64 (*.f64 (pow.f64 b 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (*.f64 -2 (/.f64 (*.f64 (exp.f64 a) (+.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))))) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 a) (+.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))))) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 -2 (/.f64 (*.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))))) (exp.f64 a)) (+.f64 1 (exp.f64 a)))))) (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 2 (/.f64 (*.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 (exp.f64 a) 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 -1 (/.f64 (*.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 (exp.f64 a) 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))) (+.f64 (*.f64 (pow.f64 b 2) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (*.f64 -2 (/.f64 (*.f64 (exp.f64 a) (+.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))))) (exp.f64 a)) (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 -1 (/.f64 (*.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 (exp.f64 a) 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 2 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 5)))))) (+.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (*.f64 -1 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 4)))) b) (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) |
(fma.f64 (pow.f64 b 3) (fma.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (*.f64 -2 (/.f64 (exp.f64 a) (/.f64 (+.f64 1 (exp.f64 a)) (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 1 (exp.f64 a)) 2) (exp.f64 a))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (fma.f64 2 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (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 -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 -1/2 (/.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))))) (/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)))))) (+.f64 1 (exp.f64 a))) (fma.f64 2 (/.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 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (exp.f64 a) 2))) (neg.f64 (/.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 -1/2 (/.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))))) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (exp.f64 a) 2))))))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (*.f64 -2 (/.f64 (exp.f64 a) (/.f64 (+.f64 1 (exp.f64 a)) (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 1 (exp.f64 a)) (exp.f64 a))) (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 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (exp.f64 a) 2))) (*.f64 2 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 5))))) (fma.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 4)) -3) b (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) |
(fma.f64 (pow.f64 b 3) (-.f64 (+.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (fma.f64 2 (*.f64 (/.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)) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 -2 (*.f64 (/.f64 (-.f64 (fma.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (*.f64 (exp.f64 a) -1/2) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.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 1 (exp.f64 a))) (exp.f64 a))))) (-.f64 (/.f64 (*.f64 2 (-.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 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (exp.f64 (+.f64 a a)))) (*.f64 (/.f64 (-.f64 (fma.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (*.f64 (exp.f64 a) -1/2) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.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 (+.f64 1 (exp.f64 a)) 2)) (exp.f64 (+.f64 a a))))) (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (fma.f64 -2 (*.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (-.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 (exp.f64 (+.f64 a a)) (pow.f64 (+.f64 1 (exp.f64 a)) 4)))))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 -2 (*.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (-.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 (exp.f64 (+.f64 a a)) (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a))) (-.f64 (*.f64 2 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 5))) (*.f64 (/.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))) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (exp.f64 (+.f64 a a))))) (fma.f64 b (/.f64 (*.f64 (pow.f64 (exp.f64 a) 3) -3) (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) |
(fma.f64 (pow.f64 b 3) (-.f64 (-.f64 (fma.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (fma.f64 2 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.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 (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 (+.f64 1 (exp.f64 a)) (exp.f64 a)) -2))) (*.f64 2 (*.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.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 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (-.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)) (fma.f64 -2 (*.f64 (/.f64 (exp.f64 a) (+.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 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 (exp.f64 a)) 4))))) (fma.f64 (*.f64 b b) (fma.f64 2 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 5)) (-.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (fma.f64 -2 (*.f64 (/.f64 (exp.f64 a) (+.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 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 (exp.f64 a)) 4)))) (*.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2))))) (fma.f64 b (/.f64 (pow.f64 (exp.f64 a) 3) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4) -3)) (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3)) |
Compiled 13 to 10 computations (23.1% saved)
Compiled 5 to 3 computations (40% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (exp.f64 a) (+.f64 1 (+.f64 1 a))) |
| ✓ | 0.0b | (+.f64 1 (+.f64 1 a)) |
Compiled 22 to 15 computations (31.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | inf | (/.f64 (exp.f64 a) (+.f64 1 (+.f64 1 a))) |
| 1.0ms | a | @ | -inf | (/.f64 (exp.f64 a) (+.f64 1 (+.f64 1 a))) |
| 1.0ms | a | @ | 0 | (/.f64 (exp.f64 a) (+.f64 1 (+.f64 1 a))) |
| 1.0ms | a | @ | 0 | (+.f64 1 (+.f64 1 a)) |
| 0.0ms | a | @ | inf | (+.f64 1 (+.f64 1 a)) |
| 1× | batch-egg-rewrite |
| 896× | pow1_binary64 |
| 840× | add-log-exp_binary64 |
| 839× | log1p-expm1-u_binary64 |
| 839× | expm1-log1p-u_binary64 |
| 824× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 155 | 13 |
| 2 | 2242 | 13 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 (+.f64 1 a)) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 1 a))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 a 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 0 a)) (/.f64 (pow.f64 (+.f64 1 a) 2) (-.f64 0 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a 2)) (pow.f64 (cbrt.f64 (+.f64 a 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a 2)) 2) (cbrt.f64 (+.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a 2)) (sqrt.f64 (+.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 1 a) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 1 a) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 1 a) 2)) (/.f64 1 (-.f64 0 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 1 a) a)) (+.f64 1 (pow.f64 (+.f64 1 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 0 a) (-.f64 1 (pow.f64 (+.f64 1 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 1 a) 3)) (+.f64 1 (*.f64 (+.f64 1 a) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 1 a) 3)) (+.f64 (pow.f64 (+.f64 1 a) 2) (-.f64 0 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 1 a) 2)) (-.f64 0 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 a) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 1 a) a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 a) 2))) (neg.f64 (-.f64 0 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 a 3)) (+.f64 4 (-.f64 (*.f64 a a) (*.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 a) 2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 a a)) (-.f64 2 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 a 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 a 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (+.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 a)) 2) (cbrt.f64 (+.f64 1 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 a)) (sqrt.f64 (+.f64 1 a)) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (exp.f64 a) (+.f64 a 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (exp.f64 a) (+.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (/.f64 1 (+.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) 2) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (+.f64 -2 (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 a 2)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a 2)) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (pow.f64 (cbrt.f64 (+.f64 a 2)) 2)) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 a 2)) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a 2))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (sqrt.f64 (+.f64 a 2))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.f64 1 (pow.f64 (+.f64 1 a) 3))) (+.f64 1 (*.f64 (+.f64 1 a) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (-.f64 1 (pow.f64 (+.f64 1 a) 2))) (-.f64 0 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 a 2) (exp.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 a) (+.f64 -2 (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 a 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 a (log1p.f64 (+.f64 1 a)))))))) |
| 1× | egg-herbie |
| 996× | fma-def_binary64 |
| 704× | associate-*r*_binary64 |
| 677× | associate-/l*_binary64 |
| 629× | distribute-rgt-out_binary64 |
| 525× | associate-/l/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 278 |
| 1 | 88 | 272 |
| 2 | 222 | 246 |
| 3 | 671 | 226 |
| 4 | 2218 | 223 |
| 5 | 7491 | 223 |
| 1× | node limit |
| Inputs |
|---|
2 |
(+.f64 2 a) |
(+.f64 2 a) |
(+.f64 2 a) |
a |
(+.f64 2 a) |
(+.f64 2 a) |
(+.f64 2 a) |
a |
(+.f64 2 a) |
(+.f64 2 a) |
(+.f64 2 a) |
1/2 |
(+.f64 1/2 (*.f64 1/4 a)) |
(+.f64 1/2 (+.f64 (*.f64 1/4 a) (*.f64 1/8 (pow.f64 a 2)))) |
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 a 3)) (+.f64 (*.f64 1/4 a) (*.f64 1/8 (pow.f64 a 2))))) |
(/.f64 (exp.f64 a) a) |
(+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (/.f64 (exp.f64 a) a)) |
(+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (/.f64 (exp.f64 a) a))) |
(+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (+.f64 (/.f64 (exp.f64 a) a) (*.f64 -8 (/.f64 (exp.f64 a) (pow.f64 a 4)))))) |
(/.f64 (exp.f64 a) a) |
(+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (/.f64 (exp.f64 a) a)) |
(+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (/.f64 (exp.f64 a) a))) |
(+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (+.f64 (/.f64 (exp.f64 a) a) (*.f64 -8 (/.f64 (exp.f64 a) (pow.f64 a 4)))))) |
| Outputs |
|---|
2 |
(+.f64 2 a) |
(+.f64 2 a) |
(+.f64 2 a) |
a |
(+.f64 2 a) |
(+.f64 2 a) |
(+.f64 2 a) |
a |
(+.f64 2 a) |
(+.f64 2 a) |
(+.f64 2 a) |
1/2 |
(+.f64 1/2 (*.f64 1/4 a)) |
(+.f64 1/2 (*.f64 a 1/4)) |
(fma.f64 a 1/4 1/2) |
(+.f64 1/2 (+.f64 (*.f64 1/4 a) (*.f64 1/8 (pow.f64 a 2)))) |
(+.f64 1/2 (fma.f64 1/4 a (*.f64 1/8 (*.f64 a a)))) |
(+.f64 1/2 (fma.f64 a 1/4 (*.f64 1/8 (*.f64 a a)))) |
(fma.f64 a 1/4 (fma.f64 a (*.f64 a 1/8) 1/2)) |
(fma.f64 a (fma.f64 a 1/8 1/4) 1/2) |
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 a 3)) (+.f64 (*.f64 1/4 a) (*.f64 1/8 (pow.f64 a 2))))) |
(+.f64 1/2 (fma.f64 1/48 (pow.f64 a 3) (fma.f64 1/4 a (*.f64 1/8 (*.f64 a a))))) |
(+.f64 1/2 (fma.f64 1/48 (pow.f64 a 3) (fma.f64 a 1/4 (*.f64 1/8 (*.f64 a a))))) |
(fma.f64 1/48 (pow.f64 a 3) (fma.f64 a 1/4 (fma.f64 a (*.f64 a 1/8) 1/2))) |
(fma.f64 a (fma.f64 a 1/8 1/4) (fma.f64 1/48 (pow.f64 a 3) 1/2)) |
(fma.f64 a (fma.f64 a (fma.f64 a 1/48 1/8) 1/4) 1/2) |
(/.f64 (exp.f64 a) a) |
(+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (/.f64 (exp.f64 a) a)) |
(fma.f64 -2 (/.f64 (exp.f64 a) (*.f64 a a)) (/.f64 (exp.f64 a) a)) |
(*.f64 (+.f64 (/.f64 -2 a) 1) (/.f64 (exp.f64 a) a)) |
(*.f64 (/.f64 (exp.f64 a) a) (+.f64 1 (/.f64 -2 a))) |
(+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (/.f64 (exp.f64 a) a))) |
(fma.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3)) (fma.f64 -2 (/.f64 (exp.f64 a) (*.f64 a a)) (/.f64 (exp.f64 a) a))) |
(+.f64 (/.f64 (exp.f64 a) a) (*.f64 (/.f64 (exp.f64 a) (*.f64 a a)) (+.f64 -2 (/.f64 4 a)))) |
(*.f64 (/.f64 (exp.f64 a) a) (+.f64 (/.f64 -2 a) (+.f64 1 (/.f64 4 (*.f64 a a))))) |
(*.f64 (/.f64 (exp.f64 a) a) (+.f64 1 (+.f64 (/.f64 -2 a) (/.f64 4 (*.f64 a a))))) |
(+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (+.f64 (/.f64 (exp.f64 a) a) (*.f64 -8 (/.f64 (exp.f64 a) (pow.f64 a 4)))))) |
(fma.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3)) (+.f64 (fma.f64 -2 (/.f64 (exp.f64 a) (*.f64 a a)) (/.f64 (exp.f64 a) a)) (/.f64 (*.f64 -8 (exp.f64 a)) (pow.f64 a 4)))) |
(fma.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3)) (fma.f64 -2 (/.f64 (exp.f64 a) (*.f64 a a)) (fma.f64 -8 (/.f64 (exp.f64 a) (pow.f64 a 4)) (/.f64 (exp.f64 a) a)))) |
(+.f64 (fma.f64 -8 (/.f64 (exp.f64 a) (pow.f64 a 4)) (/.f64 (exp.f64 a) a)) (*.f64 (/.f64 (exp.f64 a) (*.f64 a a)) (+.f64 -2 (/.f64 4 a)))) |
(fma.f64 (+.f64 1 (/.f64 -2 a)) (/.f64 (exp.f64 a) a) (*.f64 (/.f64 (exp.f64 a) (pow.f64 a 3)) (+.f64 4 (/.f64 -8 a)))) |
(*.f64 (/.f64 (exp.f64 a) a) (+.f64 (+.f64 1 (/.f64 -8 (pow.f64 a 3))) (+.f64 (/.f64 -2 a) (/.f64 4 (*.f64 a a))))) |
(/.f64 (exp.f64 a) a) |
(+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (/.f64 (exp.f64 a) a)) |
(fma.f64 -2 (/.f64 (exp.f64 a) (*.f64 a a)) (/.f64 (exp.f64 a) a)) |
(*.f64 (+.f64 (/.f64 -2 a) 1) (/.f64 (exp.f64 a) a)) |
(*.f64 (/.f64 (exp.f64 a) a) (+.f64 1 (/.f64 -2 a))) |
(+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (/.f64 (exp.f64 a) a))) |
(fma.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3)) (fma.f64 -2 (/.f64 (exp.f64 a) (*.f64 a a)) (/.f64 (exp.f64 a) a))) |
(+.f64 (/.f64 (exp.f64 a) a) (*.f64 (/.f64 (exp.f64 a) (*.f64 a a)) (+.f64 -2 (/.f64 4 a)))) |
(*.f64 (/.f64 (exp.f64 a) a) (+.f64 (/.f64 -2 a) (+.f64 1 (/.f64 4 (*.f64 a a))))) |
(*.f64 (/.f64 (exp.f64 a) a) (+.f64 1 (+.f64 (/.f64 -2 a) (/.f64 4 (*.f64 a a))))) |
(+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (+.f64 (/.f64 (exp.f64 a) a) (*.f64 -8 (/.f64 (exp.f64 a) (pow.f64 a 4)))))) |
(fma.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3)) (+.f64 (fma.f64 -2 (/.f64 (exp.f64 a) (*.f64 a a)) (/.f64 (exp.f64 a) a)) (/.f64 (*.f64 -8 (exp.f64 a)) (pow.f64 a 4)))) |
(fma.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3)) (fma.f64 -2 (/.f64 (exp.f64 a) (*.f64 a a)) (fma.f64 -8 (/.f64 (exp.f64 a) (pow.f64 a 4)) (/.f64 (exp.f64 a) a)))) |
(+.f64 (fma.f64 -8 (/.f64 (exp.f64 a) (pow.f64 a 4)) (/.f64 (exp.f64 a) a)) (*.f64 (/.f64 (exp.f64 a) (*.f64 a a)) (+.f64 -2 (/.f64 4 a)))) |
(fma.f64 (+.f64 1 (/.f64 -2 a)) (/.f64 (exp.f64 a) a) (*.f64 (/.f64 (exp.f64 a) (pow.f64 a 3)) (+.f64 4 (/.f64 -8 a)))) |
(*.f64 (/.f64 (exp.f64 a) a) (+.f64 (+.f64 1 (/.f64 -8 (pow.f64 a 3))) (+.f64 (/.f64 -2 a) (/.f64 4 (*.f64 a a))))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (exp.f64 a)) |
| ✓ | 0.3b | (/.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 | @ | inf | (/.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 | @ | 0 | (/.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) |
Compiled 8694 to 4872 computations (44% saved)
14 alts after pruning (9 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 384 | 4 | 388 |
| Fresh | 3 | 5 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 4 | 6 |
| Total | 389 | 14 | 403 |
| Status | Error | Program |
|---|---|---|
| ✓ | 42.3b | (+.f64 1/2 (*.f64 -1/4 b)) |
| ✓ | 1.8b | (/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a))) |
| ✓ | 12.9b | (/.f64 1 (+.f64 1 (exp.f64 b))) |
| 42.5b | (/.f64 1 (+.f64 b 2)) | |
| 41.0b | (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) | |
| ▶ | 40.8b | (+.f64 1/2 (*.f64 1/4 a)) |
| 41.0b | 1/2 | |
| ▶ | 43.0b | (+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))) |
| ✓ | 29.3b | (exp.f64 a) |
| ✓ | 22.7b | (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
| ▶ | 13.2b | (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1) |
| 14.4b | (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b))))) | |
| ▶ | 23.0b | (cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) 3)) |
| ▶ | 12.9b | (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) |
Compiled 216 to 177 computations (18.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) |
| ✓ | 1.0b | (log1p.f64 (exp.f64 b)) |
Compiled 17 to 6 computations (64.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | b | @ | -inf | (log1p.f64 (exp.f64 b)) |
| 14.0ms | b | @ | inf | (log1p.f64 (exp.f64 b)) |
| 1.0ms | b | @ | 0 | (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) |
| 1.0ms | b | @ | 0 | (log1p.f64 (exp.f64 b)) |
| 0.0ms | b | @ | inf | (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) |
| 1× | batch-egg-rewrite |
| 418× | pow1_binary64 |
| 402× | add-sqr-sqrt_binary64 |
| 396× | *-un-lft-identity_binary64 |
| 383× | add-log-exp_binary64 |
| 382× | expm1-log1p-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 14 |
| 1 | 113 | 11 |
| 2 | 1337 | 11 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 (exp.f64 b)) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (log1p.f64 (exp.f64 b))) (*.f64 1/2 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (log1p.f64 (exp.f64 b))) (*.f64 2 (*.f64 1/3 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (exp.f64 b)))) (*.f64 1/3 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (+.f64 (exp.f64 b) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (exp.f64 (*.f64 3 b))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -1) (log.f64 (neg.f64 (+.f64 (exp.f64 b) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (neg.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (neg.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 0 (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (*.f64 0 (log1p.f64 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 b) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 b)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (exp.f64 b) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (exp.f64 b) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 b) 1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 b) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (exp.f64 b) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 b) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 2)) (cbrt.f64 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)) (sqrt.f64 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 b) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 (*.f64 3 b))) (+.f64 1 (-.f64 (pow.f64 (exp.f64 b) 2) (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 pow.f64 (+.f64 (exp.f64 b) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 b) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (exp.f64 b) 1) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 b) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 b)) (cbrt.f64 (pow.f64 (exp.f64 b) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.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 |
| 669× | fma-def_binary64 |
| 638× | associate-/r/_binary64 |
| 391× | *-commutative_binary64 |
| 357× | distribute-rgt-neg-in_binary64 |
| 346× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 274 |
| 1 | 123 | 206 |
| 2 | 332 | 194 |
| 3 | 823 | 188 |
| 4 | 2663 | 188 |
| 5 | 4505 | 188 |
| 6 | 6519 | 188 |
| 7 | 7260 | 188 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 2) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2))) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4))))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(exp.f64 (neg.f64 (log.f64 2))) |
(+.f64 (*.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (exp.f64 (neg.f64 (log.f64 2)))) |
(+.f64 (*.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 b 3) (exp.f64 (neg.f64 (log.f64 2))))) (exp.f64 (neg.f64 (log.f64 2))))) |
(+.f64 (*.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 b 3) (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (*.f64 -1/240 (*.f64 (pow.f64 b 5) (exp.f64 (neg.f64 (log.f64 2))))) (exp.f64 (neg.f64 (log.f64 2)))))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) |
| Outputs |
|---|
(log.f64 2) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(fma.f64 1/2 b (log.f64 2)) |
(fma.f64 b 1/2 (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2))) |
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2))) |
(fma.f64 b 1/2 (fma.f64 1/8 (*.f64 b b) (log.f64 2))) |
(fma.f64 b (fma.f64 b 1/8 1/2) (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4))))) |
(fma.f64 1/2 b (+.f64 (fma.f64 1/8 (*.f64 b b) (log.f64 2)) (*.f64 -1/192 (pow.f64 b 4)))) |
(fma.f64 b 1/2 (fma.f64 1/8 (*.f64 b b) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2)))) |
(fma.f64 b 1/2 (fma.f64 b (*.f64 b 1/8) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2)))) |
(fma.f64 b (fma.f64 b 1/8 1/2) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(exp.f64 (neg.f64 (log.f64 2))) |
1/2 |
(+.f64 (*.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (exp.f64 (neg.f64 (log.f64 2)))) |
(fma.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2)))) (exp.f64 (neg.f64 (log.f64 2)))) |
(+.f64 1/2 (*.f64 b -1/4)) |
(fma.f64 b -1/4 1/2) |
(+.f64 (*.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 b 3) (exp.f64 (neg.f64 (log.f64 2))))) (exp.f64 (neg.f64 (log.f64 2))))) |
(fma.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2)))) (fma.f64 1/24 (*.f64 (exp.f64 (neg.f64 (log.f64 2))) (pow.f64 b 3)) (exp.f64 (neg.f64 (log.f64 2))))) |
(+.f64 1/2 (+.f64 (*.f64 b -1/4) (*.f64 (pow.f64 b 3) 1/48))) |
(fma.f64 (pow.f64 b 3) 1/48 (fma.f64 b -1/4 1/2)) |
(+.f64 (*.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 b 3) (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (*.f64 -1/240 (*.f64 (pow.f64 b 5) (exp.f64 (neg.f64 (log.f64 2))))) (exp.f64 (neg.f64 (log.f64 2)))))) |
(fma.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2)))) (fma.f64 1/24 (*.f64 (exp.f64 (neg.f64 (log.f64 2))) (pow.f64 b 3)) (fma.f64 -1/240 (*.f64 (exp.f64 (neg.f64 (log.f64 2))) (pow.f64 b 5)) (exp.f64 (neg.f64 (log.f64 2)))))) |
(+.f64 (+.f64 (*.f64 b -1/4) (+.f64 1/2 (*.f64 (pow.f64 b 5) -1/480))) (*.f64 (pow.f64 b 3) 1/48)) |
(fma.f64 b -1/4 (fma.f64 (pow.f64 b 3) 1/48 (fma.f64 (pow.f64 b 5) -1/480 1/2))) |
(fma.f64 (pow.f64 b 5) -1/480 (fma.f64 (pow.f64 b 3) 1/48 (fma.f64 b -1/4 1/2))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
Compiled 13 to 10 computations (23.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 1 (exp.f64 b)) | |
| ✓ | 0.0b | (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
| 0.0b | (/.f64 1 (+.f64 1 (exp.f64 b))) | |
| ✓ | 0.0b | (-.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 | @ | 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 (+.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) |
| 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 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 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 /.f64 1 (+.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (+.f64 -1 (neg.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (hypot.f64 1 (sqrt.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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 (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)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2) -1) (+.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 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3) -1)) (neg.f64 (+.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 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2) -1)) (neg.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) 3)) (+.f64 1 (-.f64 (*.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))) (-.f64 1 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (cbrt.f64 (+.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 (/.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 pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (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 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)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)) |
| ✓ | 0.1b | (*.f64 -1/480 (pow.f64 b 5)) |
| ✓ | 0.3b | (*.f64 1/48 (pow.f64 b 3)) |
| ✓ | 16.7b | (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))) |
Compiled 69 to 55 computations (20.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | inf | (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))) |
| 1.0ms | b | @ | 0 | (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))) |
| 1.0ms | b | @ | 0 | (*.f64 -1/480 (pow.f64 b 5)) |
| 1.0ms | b | @ | 0 | (*.f64 1/48 (pow.f64 b 3)) |
| 1.0ms | b | @ | -inf | (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))) |
| 1× | batch-egg-rewrite |
| 644× | log-prod_binary64 |
| 629× | fma-def_binary64 |
| 379× | pow2_binary64 |
| 326× | fma-neg_binary64 |
| 261× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 43 |
| 1 | 321 | 43 |
| 2 | 4004 | 43 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))) |
(*.f64 1/48 (pow.f64 b 3)) |
(*.f64 -1/480 (pow.f64 b 5)) |
(+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)) |
| Outputs |
|---|
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1/48)) (pow.f64 (*.f64 b (cbrt.f64 1/48)) 2) (*.f64 b -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 b (cbrt.f64 1/48)) 2) (*.f64 b (cbrt.f64 1/48)) (*.f64 b -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 b -1/4)) (sqrt.f64 (*.f64 b -1/4)) (*.f64 1/48 (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) -1/4) (*.f64 1/48 (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/48) (pow.f64 b 3/2)) (*.f64 (sqrt.f64 1/48) (pow.f64 b 3/2)) (*.f64 b -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 b 3/2) (*.f64 (pow.f64 b 3/2) 1/48) (*.f64 b -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/4 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (*.f64 1/48 (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/4 (sqrt.f64 b)) (sqrt.f64 b) (*.f64 1/48 (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/48 b) (*.f64 b b) (*.f64 b -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/48 (*.f64 b b)) b (*.f64 b -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/48 (pow.f64 b 3/2)) (pow.f64 b 3/2) (*.f64 b -1/4)))))) |
| 1× | egg-herbie |
| 1204× | sqr-pow_binary64 |
| 708× | cube-prod_binary64 |
| 680× | fabs-mul_binary64 |
| 660× | pow-sqr_binary64 |
| 416× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 75 |
| 1 | 33 | 75 |
| 2 | 65 | 75 |
| 3 | 137 | 75 |
| 4 | 266 | 75 |
| 5 | 701 | 75 |
| 6 | 1021 | 75 |
| 7 | 1657 | 75 |
| 8 | 1765 | 75 |
| 9 | 1927 | 75 |
| 10 | 2140 | 75 |
| 11 | 2470 | 75 |
| 12 | 2926 | 75 |
| 13 | 3524 | 75 |
| 14 | 4279 | 75 |
| 15 | 5217 | 75 |
| 16 | 5727 | 75 |
| 17 | 6215 | 75 |
| 18 | 6613 | 75 |
| 19 | 6935 | 75 |
| 20 | 7093 | 75 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/4 b) |
(+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)) |
(*.f64 -1/480 (pow.f64 b 5)) |
(+.f64 (*.f64 -1/480 (pow.f64 b 5)) (*.f64 1/48 (pow.f64 b 3))) |
(*.f64 -1/480 (pow.f64 b 5)) |
(+.f64 (*.f64 -1/480 (pow.f64 b 5)) (*.f64 1/48 (pow.f64 b 3))) |
(*.f64 -1/4 b) |
(*.f64 1/48 (pow.f64 b 3)) |
(*.f64 1/48 (pow.f64 b 3)) |
| Outputs |
|---|
(*.f64 -1/4 b) |
(+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)) |
(fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b)) |
(fma.f64 -1/4 b (*.f64 1/48 (pow.f64 b 3))) |
(*.f64 b (fma.f64 b (*.f64 b 1/48) -1/4)) |
(*.f64 b (fma.f64 1/48 (*.f64 b b) -1/4)) |
(*.f64 -1/480 (pow.f64 b 5)) |
(+.f64 (*.f64 -1/480 (pow.f64 b 5)) (*.f64 1/48 (pow.f64 b 3))) |
(fma.f64 -1/480 (pow.f64 b 5) (*.f64 1/48 (pow.f64 b 3))) |
(fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/480 (pow.f64 b 5))) |
(*.f64 -1/480 (pow.f64 b 5)) |
(+.f64 (*.f64 -1/480 (pow.f64 b 5)) (*.f64 1/48 (pow.f64 b 3))) |
(fma.f64 -1/480 (pow.f64 b 5) (*.f64 1/48 (pow.f64 b 3))) |
(fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/480 (pow.f64 b 5))) |
(*.f64 -1/4 b) |
(*.f64 1/48 (pow.f64 b 3)) |
(*.f64 1/48 (pow.f64 b 3)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 1 (exp.f64 a)) | |
| ✓ | 0.0b | (pow.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) 3) |
| 0.3b | (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) | |
| ✓ | 0.7b | (cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) 3)) |
Compiled 37 to 21 computations (43.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | inf | (pow.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) 3) |
| 1.0ms | a | @ | -inf | (pow.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) 3) |
| 0.0ms | a | @ | 0 | (cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) 3)) |
| 0.0ms | a | @ | 0 | (pow.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) 3) |
| 0.0ms | a | @ | inf | (cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) 3)) |
| 1× | batch-egg-rewrite |
| 852× | pow1_binary64 |
| 803× | add-log-exp_binary64 |
| 802× | log1p-expm1-u_binary64 |
| 802× | expm1-log1p-u_binary64 |
| 784× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 25 |
| 1 | 193 | 23 |
| 2 | 2228 | 23 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) 3)) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) 3) |
| 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 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (pow.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2) 1/3))))) (#(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 (pow.f64 1 1/3) (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2) 1/3) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3/2) 1/3) (pow.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3/2) 1/3))))) (#(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 /.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) a)) 1))))) (#(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)) (+.f64 (neg.f64 (exp.f64 a)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (+.f64 (neg.f64 (exp.f64 a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (sqrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 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 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (*.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2) (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2) (*.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (*.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 a) 3) (/.f64 1 (pow.f64 (+.f64 (exp.f64 a) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3/2) (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2) 3) (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 3) (pow.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2) (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2) 1) (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2) (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 (*.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2) (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 1 (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) (pow.f64 (exp.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2) (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (neg.f64 (exp.f64 a)) 3) (pow.f64 (+.f64 (neg.f64 (exp.f64 a)) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (exp.f64 a) 3)) (neg.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 a) (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2)) (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (exp.f64 a)) (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2)) (+.f64 (neg.f64 (exp.f64 a)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2) (exp.f64 a)) (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2) 1) (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2) (neg.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)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (-.f64 a (log1p.f64 (exp.f64 a))))))))) |
| 1× | egg-herbie |
| 963× | fma-def_binary64 |
| 728× | associate-/l*_binary64 |
| 607× | distribute-rgt-in_binary64 |
| 424× | associate-/r*_binary64 |
| 396× | associate-/l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 310 |
| 1 | 104 | 304 |
| 2 | 264 | 299 |
| 3 | 787 | 268 |
| 4 | 2434 | 268 |
| 5 | 7339 | 268 |
| 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)))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
1/8 |
(+.f64 1/8 (*.f64 3/16 a)) |
(+.f64 1/8 (+.f64 (*.f64 3/16 a) (*.f64 3/32 (pow.f64 a 2)))) |
(+.f64 1/8 (+.f64 (*.f64 3/16 a) (+.f64 (*.f64 -1/64 (pow.f64 a 4)) (*.f64 3/32 (pow.f64 a 2))))) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.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 a (fma.f64 -1/48 (*.f64 a a) 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 a (fma.f64 a (*.f64 a -1/48) 1/4) (fma.f64 1/480 (pow.f64 a 5) 1/2)) |
(fma.f64 a (fma.f64 -1/48 (*.f64 a a) 1/4) (fma.f64 1/480 (pow.f64 a 5) 1/2)) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
1/8 |
(+.f64 1/8 (*.f64 3/16 a)) |
(+.f64 1/8 (*.f64 a 3/16)) |
(fma.f64 a 3/16 1/8) |
(+.f64 1/8 (+.f64 (*.f64 3/16 a) (*.f64 3/32 (pow.f64 a 2)))) |
(+.f64 1/8 (fma.f64 3/16 a (*.f64 3/32 (*.f64 a a)))) |
(+.f64 1/8 (fma.f64 a 3/16 (*.f64 (*.f64 3/32 a) a))) |
(fma.f64 a 3/16 (fma.f64 a (*.f64 a 3/32) 1/8)) |
(fma.f64 a (fma.f64 a 3/32 3/16) 1/8) |
(+.f64 1/8 (+.f64 (*.f64 3/16 a) (+.f64 (*.f64 -1/64 (pow.f64 a 4)) (*.f64 3/32 (pow.f64 a 2))))) |
(+.f64 1/8 (fma.f64 3/16 a (fma.f64 -1/64 (pow.f64 a 4) (*.f64 3/32 (*.f64 a a))))) |
(+.f64 1/8 (fma.f64 a 3/16 (fma.f64 -1/64 (pow.f64 a 4) (*.f64 (*.f64 3/32 a) a)))) |
(+.f64 1/8 (fma.f64 -1/64 (pow.f64 a 4) (*.f64 a (+.f64 3/16 (*.f64 a 3/32))))) |
(fma.f64 a (fma.f64 a 3/32 3/16) (fma.f64 -1/64 (pow.f64 a 4) 1/8)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) 1) 3)) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) 3) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) 1) 3)) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) 3) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) 1) 3)) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) 3) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) 1) 3)) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) 3) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) 1) 3)) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) 3) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) 1) 3)) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) 3) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) 1) 3)) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) 3) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) |
(/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) 1) 3)) |
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) 3) |
Compiled 10292 to 7426 computations (27.8% saved)
18 alts after pruning (8 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 624 | 6 | 630 |
| Fresh | 2 | 2 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 9 | 9 |
| Total | 626 | 18 | 644 |
| Status | Error | Program |
|---|---|---|
| ✓ | 43.0b | (+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))) |
| 42.3b | (-.f64 (+.f64 3/2 (*.f64 -1/4 b)) 1) | |
| ✓ | 42.3b | (+.f64 1/2 (*.f64 -1/4 b)) |
| ✓ | 1.8b | (/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a))) |
| ✓ | 12.9b | (/.f64 1 (+.f64 1 (exp.f64 b))) |
| 13.2b | (-.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 2) 1) 1) | |
| ✓ | 12.9b | (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) |
| ✓ | 40.8b | (+.f64 1/2 (*.f64 1/4 a)) |
| 41.0b | (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) | |
| 28.2b | (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) | |
| ✓ | 29.3b | (exp.f64 a) |
| 41.0b | 1/2 | |
| ✓ | 22.7b | (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
| ✓ | 13.2b | (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1) |
| 14.4b | (exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b))))) | |
| ✓ | 23.0b | (cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) 3)) |
| 42.5b | (/.f64 1 (+.f64 b 2)) | |
| 46.5b | (+.f64 (exp.f64 b) 1) |
Compiled 169 to 141 computations (16.6% saved)
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
(+.f64 1/2 (*.f64 1/4 a)) |
(+.f64 1/2 (*.f64 -1/4 b)) |
(/.f64 1 (+.f64 b 2)) |
(-.f64 (+.f64 3/2 (*.f64 -1/4 b)) 1) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
(exp.f64 a) |
(+.f64 (exp.f64 b) 1) |
(/.f64 (exp.f64 a) (+.f64 a 2)) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 1 a))) |
(-.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))) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
(-.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 2) 1) 1) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a))) |
(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a b)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) |
(exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b))))) |
(/.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 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) |
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) 3)) |
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)) |
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) |
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)) |
| Outputs |
|---|
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) |
7 calls:
| 40.0ms | b |
| 32.0ms | a |
| 5.0ms | (exp.f64 b) |
| 4.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 4.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 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 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1.0b | 1 | (exp.f64 a) |
| 1.0b | 1 | (exp.f64 a) |
| 1.0b | 1 | (exp.f64 b) |
Compiled 298 to 180 computations (39.6% saved)
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
(+.f64 1/2 (*.f64 1/4 a)) |
(+.f64 1/2 (*.f64 -1/4 b)) |
(/.f64 1 (+.f64 b 2)) |
(-.f64 (+.f64 3/2 (*.f64 -1/4 b)) 1) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
(exp.f64 a) |
(+.f64 (exp.f64 b) 1) |
(/.f64 (exp.f64 a) (+.f64 a 2)) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 1 a))) |
(-.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))) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
(-.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 2) 1) 1) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a))) |
(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a b)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) |
(exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b))))) |
(/.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 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))) |
| Outputs |
|---|
(+.f64 (exp.f64 b) 1) |
(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
5 calls:
| 100.0ms | b |
| 25.0ms | a |
| 11.0ms | (exp.f64 b) |
| 7.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 6.0ms | (exp.f64 a) |
| Error | Segments | Branch |
|---|---|---|
| 1.0b | 1 | a |
| 0.0b | 3 | 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 232 to 153 computations (34.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 57.0ms | -3.6426014530627585e-23 | -3.877881398750938e-27 |
| 71.0ms | -151859839.3628064 | -126267.37383466595 |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
(+.f64 1/2 (*.f64 1/4 a)) |
(+.f64 1/2 (*.f64 -1/4 b)) |
(/.f64 1 (+.f64 b 2)) |
(-.f64 (+.f64 3/2 (*.f64 -1/4 b)) 1) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
(exp.f64 a) |
(+.f64 (exp.f64 b) 1) |
(/.f64 (exp.f64 a) (+.f64 a 2)) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 1 a))) |
(-.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))) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
(-.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 2) 1) 1) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a))) |
(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a b)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) |
(exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b))))) |
(/.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) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
5 calls:
| 57.0ms | b |
| 23.0ms | a |
| 8.0ms | (exp.f64 a) |
| 7.0ms | (exp.f64 b) |
| 6.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 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 217 to 145 computations (33.2% saved)
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
(+.f64 1/2 (*.f64 1/4 a)) |
(+.f64 1/2 (*.f64 -1/4 b)) |
(/.f64 1 (+.f64 b 2)) |
(-.f64 (+.f64 3/2 (*.f64 -1/4 b)) 1) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
(exp.f64 a) |
(+.f64 (exp.f64 b) 1) |
(/.f64 (exp.f64 a) (+.f64 a 2)) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 1 a))) |
(-.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))) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
(-.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 2) 1) 1) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a))) |
(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a b)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) |
(exp.f64 (-.f64 a (log1p.f64 (+.f64 a (exp.f64 b))))) |
| Outputs |
|---|
(+.f64 (exp.f64 b) 1) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a))) |
5 calls:
| 52.0ms | a |
| 51.0ms | b |
| 10.0ms | (exp.f64 b) |
| 7.0ms | (exp.f64 a) |
| 6.0ms | (exp.f64 a) |
| Error | Segments | Branch |
|---|---|---|
| 1.8b | 1 | a |
| 0.5b | 2 | b |
| 1.8b | 1 | (exp.f64 a) |
| 1.8b | 1 | (exp.f64 a) |
| 0.5b | 2 | (exp.f64 b) |
Compiled 191 to 136 computations (28.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.6409452503899442 |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
(+.f64 1/2 (*.f64 1/4 a)) |
(+.f64 1/2 (*.f64 -1/4 b)) |
(/.f64 1 (+.f64 b 2)) |
(-.f64 (+.f64 3/2 (*.f64 -1/4 b)) 1) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
(exp.f64 a) |
(+.f64 (exp.f64 b) 1) |
(/.f64 (exp.f64 a) (+.f64 a 2)) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 1 a))) |
(-.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))) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
(-.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 2) 1) 1) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
| Outputs |
|---|
(+.f64 (exp.f64 b) 1) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
4 calls:
| 58.0ms | b |
| 40.0ms | a |
| 34.0ms | (exp.f64 b) |
| 9.0ms | (exp.f64 a) |
| Error | Segments | Branch |
|---|---|---|
| 1.3b | 2 | a |
| 0.5b | 3 | b |
| 1.3b | 2 | (exp.f64 a) |
| 0.5b | 3 | (exp.f64 b) |
Compiled 134 to 99 computations (26.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0001193424875947 | 1.0002874287017696 |
| 0.0ms | 0.0 | 0.6409452503899442 |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
(+.f64 1/2 (*.f64 1/4 a)) |
(+.f64 1/2 (*.f64 -1/4 b)) |
(/.f64 1 (+.f64 b 2)) |
(-.f64 (+.f64 3/2 (*.f64 -1/4 b)) 1) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
(exp.f64 a) |
(+.f64 (exp.f64 b) 1) |
(/.f64 (exp.f64 a) (+.f64 a 2)) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 1 a))) |
(-.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))) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
(-.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 2) 1) 1) |
| Outputs |
|---|
(+.f64 (exp.f64 b) 1) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 1 a))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
4 calls:
| 56.0ms | b |
| 41.0ms | (exp.f64 b) |
| 37.0ms | a |
| 8.0ms | (exp.f64 a) |
| Error | Segments | Branch |
|---|---|---|
| 1.3b | 2 | a |
| 0.9b | 3 | b |
| 1.3b | 2 | (exp.f64 a) |
| 0.9b | 3 | (exp.f64 b) |
Compiled 120 to 93 computations (22.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0001193424875947 | 1.0002874287017696 |
| 0.0ms | 0.0 | 0.6409452503899442 |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
(+.f64 1/2 (*.f64 1/4 a)) |
(+.f64 1/2 (*.f64 -1/4 b)) |
(/.f64 1 (+.f64 b 2)) |
(-.f64 (+.f64 3/2 (*.f64 -1/4 b)) 1) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
(exp.f64 a) |
(+.f64 (exp.f64 b) 1) |
(/.f64 (exp.f64 a) (+.f64 a 2)) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
| Outputs |
|---|
(+.f64 (exp.f64 b) 1) |
(/.f64 (exp.f64 a) (+.f64 a 2)) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
4 calls:
| 67.0ms | b |
| 28.0ms | a |
| 13.0ms | (exp.f64 b) |
| 7.0ms | (exp.f64 a) |
| Error | Segments | Branch |
|---|---|---|
| 1.3b | 2 | a |
| 0.9b | 3 | b |
| 1.3b | 2 | (exp.f64 a) |
| 0.9b | 3 | (exp.f64 b) |
Compiled 68 to 52 computations (23.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0001193424875947 | 1.0002874287017696 |
| 0.0ms | 0.0 | 0.6409452503899442 |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
(+.f64 1/2 (*.f64 1/4 a)) |
(+.f64 1/2 (*.f64 -1/4 b)) |
(/.f64 1 (+.f64 b 2)) |
(-.f64 (+.f64 3/2 (*.f64 -1/4 b)) 1) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
(exp.f64 a) |
(+.f64 (exp.f64 b) 1) |
(/.f64 (exp.f64 a) (+.f64 a 2)) |
| Outputs |
|---|
(+.f64 (exp.f64 b) 1) |
(/.f64 (exp.f64 a) (+.f64 a 2)) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
5 calls:
| 79.0ms | a |
| 41.0ms | b |
| 13.0ms | (exp.f64 b) |
| 12.0ms | (exp.f64 b) |
| 7.0ms | (exp.f64 a) |
| Error | Segments | Branch |
|---|---|---|
| 12.7b | 6 | a |
| 2.4b | 3 | b |
| 15.2b | 2 | (exp.f64 a) |
| 3.0b | 3 | (exp.f64 b) |
| 3.0b | 3 | (exp.f64 b) |
Compiled 66 to 51 computations (22.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 40.0ms | 14162400.611620152 | 70241261.23064274 |
| 38.0ms | -126267.37383466595 | -0.44481123851754806 |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
(+.f64 1/2 (*.f64 1/4 a)) |
(+.f64 1/2 (*.f64 -1/4 b)) |
(/.f64 1 (+.f64 b 2)) |
(-.f64 (+.f64 3/2 (*.f64 -1/4 b)) 1) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
(exp.f64 a) |
(+.f64 (exp.f64 b) 1) |
| Outputs |
|---|
(+.f64 (exp.f64 b) 1) |
(+.f64 1/2 (*.f64 -1/4 b)) |
(exp.f64 a) |
1/2 |
(exp.f64 a) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
5 calls:
| 105.0ms | a |
| 75.0ms | b |
| 9.0ms | (exp.f64 b) |
| 9.0ms | (exp.f64 b) |
| 8.0ms | (exp.f64 a) |
| Error | Segments | Branch |
|---|---|---|
| 12.7b | 6 | a |
| 11.7b | 6 | b |
| 15.2b | 2 | (exp.f64 a) |
| 15.1b | 2 | (exp.f64 b) |
| 15.1b | 2 | (exp.f64 b) |
Compiled 60 to 48 computations (20% saved)
| 5× | binary-search |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 3.771975112665823e-223 | 4.2378247078882634e-222 |
| 34.0ms | -1.635690114652294e-299 | 9.945404565664197e-302 |
| 38.0ms | -4.982003841986741e-182 | -1.0875483811598623e-184 |
| 70.0ms | -1.279527201993866e-106 | -9.836595762279659e-107 |
| 38.0ms | -126267.37383466595 | -0.44481123851754806 |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
(+.f64 1/2 (*.f64 1/4 a)) |
(+.f64 1/2 (*.f64 -1/4 b)) |
(/.f64 1 (+.f64 b 2)) |
(-.f64 (+.f64 3/2 (*.f64 -1/4 b)) 1) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
(exp.f64 a) |
| Outputs |
|---|
(exp.f64 a) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
(exp.f64 a) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
(exp.f64 a) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
3 calls:
| 73.0ms | a |
| 65.0ms | b |
| 8.0ms | (exp.f64 a) |
| Error | Segments | Branch |
|---|---|---|
| 12.7b | 6 | a |
| 12.7b | 6 | b |
| 15.2b | 2 | (exp.f64 a) |
Compiled 48 to 39 computations (18.8% saved)
| 5× | binary-search |
| Time | Left | Right |
|---|---|---|
| 40.0ms | 7.292825838122975e-60 | 8.961954357077377e-60 |
| 34.0ms | 3.808894912299725e-167 | 3.3884732576379917e-164 |
| 35.0ms | -1.0905320485522875e-225 | -9.6857076795029e-235 |
| 34.0ms | -2.0321481986222426e-183 | -1.7426025168853363e-189 |
| 36.0ms | -29.28056150470826 | -0.00926951771651663 |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
(+.f64 1/2 (*.f64 1/4 a)) |
(+.f64 1/2 (*.f64 -1/4 b)) |
(/.f64 1 (+.f64 b 2)) |
(-.f64 (+.f64 3/2 (*.f64 -1/4 b)) 1) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
| Outputs |
|---|
(+.f64 1/2 (*.f64 1/4 a)) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) |
2 calls:
| 22.0ms | b |
| 12.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 28.2b | 1 | a |
| 26.1b | 2 | b |
Compiled 42 to 35 computations (16.7% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 3.2228892508414333e-166 | 2.609496371242099e-164 |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
(+.f64 1/2 (*.f64 1/4 a)) |
(+.f64 1/2 (*.f64 -1/4 b)) |
(/.f64 1 (+.f64 b 2)) |
(-.f64 (+.f64 3/2 (*.f64 -1/4 b)) 1) |
| Outputs |
|---|
(+.f64 1/2 (*.f64 1/4 a)) |
2 calls:
| 6.0ms | a |
| 5.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 40.8b | 1 | a |
| 40.8b | 1 | b |
Compiled 33 to 27 computations (18.2% saved)
Total 0.0b remaining (0%)
Threshold costs 0.0b (0%)
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
| Outputs |
|---|
1/2 |
2 calls:
| 4.0ms | b |
| 4.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 41.0b | 1 | a |
| 41.0b | 1 | b |
Compiled 11 to 9 computations (18.2% saved)
| 1× | egg-herbie |
| 16× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 450 |
| 1 | 119 | 450 |
| 2 | 123 | 450 |
| 3 | 125 | 450 |
| 4 | 126 | 450 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) |
(if (<=.f64 b -5095570653430211/33554432) (+.f64 (exp.f64 b) 1) (if (<=.f64 b -3098782610494613/85070591730234615865843651857942052864) (/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.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))) |
(if (<=.f64 (exp.f64 b) 0) (+.f64 (exp.f64 b) 1) (/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))) |
(if (<=.f64 (exp.f64 b) 0) (+.f64 (exp.f64 b) 1) (if (<=.f64 (exp.f64 b) 2252250173647985/2251799813685248) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(if (<=.f64 (exp.f64 b) 0) (+.f64 (exp.f64 b) 1) (if (<=.f64 (exp.f64 b) 2252250173647985/2251799813685248) (/.f64 (exp.f64 a) (+.f64 1 (+.f64 1 a))) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(if (<=.f64 (exp.f64 b) 0) (+.f64 (exp.f64 b) 1) (if (<=.f64 (exp.f64 b) 2252250173647985/2251799813685248) (/.f64 (exp.f64 a) (+.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(if (<=.f64 b -4338513929373571/34359738368) (+.f64 (exp.f64 b) 1) (if (<=.f64 b 7603380932469869/536870912) (/.f64 (exp.f64 a) (+.f64 a 2)) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1))) |
(if (<=.f64 b -4338513929373571/34359738368) (+.f64 (exp.f64 b) 1) (if (<=.f64 b -2643247169086035/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008) (+.f64 1/2 (*.f64 -1/4 b)) (if (<=.f64 b -7448198082012819/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968) (exp.f64 a) (if (<=.f64 b -1541652553333517/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208) 1/2 (if (<=.f64 b 2456209423019465/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) (exp.f64 a) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)))))) |
(if (<=.f64 a -515109085475793/17592186044416) (exp.f64 a) (if (<=.f64 a -4860965280768011/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) (if (<=.f64 a -7271683439264687/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (exp.f64 a) (if (<=.f64 a 1264405499105545/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) (if (<=.f64 a 1649319414531525/226156424291633194186662080095093570025917938800079226639565593765455331328) (exp.f64 a) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)))))) |
(if (<=.f64 b 5349371649258291/16598062275523971834049631454764644604049784928969747599982629318762611245651632585598828195788415177152791546445203156729580604301647101231547499336455854748244727213606038094741504) (+.f64 1/2 (*.f64 1/4 a)) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)) |
(+.f64 1/2 (*.f64 1/4 a)) |
1/2 |
| Outputs |
|---|
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) |
(if (<=.f64 b -5095570653430211/33554432) (+.f64 (exp.f64 b) 1) (if (<=.f64 b -3098782610494613/85070591730234615865843651857942052864) (/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.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))) |
(if (<=.f64 (exp.f64 b) 0) (+.f64 (exp.f64 b) 1) (/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a)))) |
(if (<=.f64 (exp.f64 b) 0) (+.f64 (exp.f64 b) 1) (/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b))))) |
(if (<=.f64 (exp.f64 b) 0) (+.f64 (exp.f64 b) 1) (if (<=.f64 (exp.f64 b) 2252250173647985/2251799813685248) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(if (<=.f64 (exp.f64 b) 0) (+.f64 (exp.f64 b) 1) (if (<=.f64 (exp.f64 b) 2252250173647985/2251799813685248) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 1 (+.f64 (exp.f64 b) 1)))) |
(if (<=.f64 (exp.f64 b) 0) (+.f64 (exp.f64 b) 1) (if (<=.f64 (exp.f64 b) 2252250173647985/2251799813685248) (/.f64 (exp.f64 a) (+.f64 1 (+.f64 1 a))) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(if (<=.f64 (exp.f64 b) 0) (+.f64 (exp.f64 b) 1) (if (<=.f64 (exp.f64 b) 2252250173647985/2251799813685248) (/.f64 (exp.f64 a) (+.f64 1 (+.f64 a 1))) (/.f64 1 (+.f64 (exp.f64 b) 1)))) |
(if (<=.f64 (exp.f64 b) 0) (+.f64 (exp.f64 b) 1) (if (<=.f64 (exp.f64 b) 2252250173647985/2251799813685248) (/.f64 (exp.f64 a) (+.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(if (<=.f64 (exp.f64 b) 0) (+.f64 (exp.f64 b) 1) (if (<=.f64 (exp.f64 b) 2252250173647985/2251799813685248) (/.f64 (exp.f64 a) (+.f64 a 2)) (/.f64 1 (+.f64 (exp.f64 b) 1)))) |
(if (<=.f64 b -4338513929373571/34359738368) (+.f64 (exp.f64 b) 1) (if (<=.f64 b 7603380932469869/536870912) (/.f64 (exp.f64 a) (+.f64 a 2)) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1))) |
(if (<=.f64 b -4338513929373571/34359738368) (+.f64 (exp.f64 b) 1) (if (<=.f64 b 7603380932469869/536870912) (/.f64 (exp.f64 a) (+.f64 a 2)) (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1))) |
(if (<=.f64 b -4338513929373571/34359738368) (+.f64 (exp.f64 b) 1) (if (<=.f64 b -2643247169086035/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008) (+.f64 1/2 (*.f64 -1/4 b)) (if (<=.f64 b -7448198082012819/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968) (exp.f64 a) (if (<=.f64 b -1541652553333517/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208) 1/2 (if (<=.f64 b 2456209423019465/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) (exp.f64 a) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)))))) |
(if (<=.f64 b -4338513929373571/34359738368) (+.f64 (exp.f64 b) 1) (if (<=.f64 b -2643247169086035/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008) (+.f64 1/2 (*.f64 b -1/4)) (if (<=.f64 b -7448198082012819/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968) (exp.f64 a) (if (<=.f64 b -1541652553333517/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208) 1/2 (if (<=.f64 b 2456209423019465/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) (exp.f64 a) (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1)))))) |
(if (<=.f64 a -515109085475793/17592186044416) (exp.f64 a) (if (<=.f64 a -4860965280768011/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) (if (<=.f64 a -7271683439264687/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (exp.f64 a) (if (<=.f64 a 1264405499105545/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1) (if (<=.f64 a 1649319414531525/226156424291633194186662080095093570025917938800079226639565593765455331328) (exp.f64 a) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)))))) |
(if (<=.f64 a -515109085475793/17592186044416) (exp.f64 a) (if (<=.f64 a -4860965280768011/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488) (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1) (if (<=.f64 a -7271683439264687/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (exp.f64 a) (if (<=.f64 a 1264405499105545/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008) (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1) (if (<=.f64 a 1649319414531525/226156424291633194186662080095093570025917938800079226639565593765455331328) (exp.f64 a) (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1)))))) |
(if (<=.f64 b 5349371649258291/16598062275523971834049631454764644604049784928969747599982629318762611245651632585598828195788415177152791546445203156729580604301647101231547499336455854748244727213606038094741504) (+.f64 1/2 (*.f64 1/4 a)) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)) |
(if (<=.f64 b 5349371649258291/16598062275523971834049631454764644604049784928969747599982629318762611245651632585598828195788415177152791546445203156729580604301647101231547499336455854748244727213606038094741504) (+.f64 1/2 (*.f64 a 1/4)) (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1)) |
(+.f64 1/2 (*.f64 1/4 a)) |
(+.f64 1/2 (*.f64 a 1/4)) |
1/2 |
Compiled 324 to 234 computations (27.8% saved)
| 1× | egg-herbie |
| 815× | fma-def_binary64 |
| 677× | associate-*r*_binary64 |
| 660× | associate-*l*_binary64 |
| 438× | distribute-rgt-in_binary64 |
| 434× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 1541 |
| 1 | 430 | 1461 |
| 2 | 1571 | 1350 |
| 1× | node limit |
Compiled 23 to 20 computations (13% saved)
Compiled 300 to 189 computations (37% saved)
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