Time bar (total: 9.9s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 15.6% | 84.3% | 0.1% | 6 |
| 37.5% | 62.4% | 0.1% | 7 |
| 46.8% | 53.1% | 0.1% | 8 |
| 57.8% | 39.8% | 2.4% | 9 |
| 64.6% | 30.4% | 5% | 10 |
| 71.8% | 20.3% | 7.9% | 11 |
| 74.1% | 16.2% | 9.7% | 12 |
Compiled 24 to 18 computations (25% saved)
| 1.3s | 8256× | body | 256 | valid |
| 140.0ms | 692× | body | 256 | invalid |
| 2× | egg-herbie |
| 624× | distribute-rgt-in_binary64 |
| 586× | associate-/r*_binary64 |
| 522× | distribute-lft-in_binary64 |
| 462× | fma-def_binary64 |
| 398× | associate-*l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 64 |
| 1 | 60 | 58 |
| 2 | 187 | 58 |
| 3 | 769 | 58 |
| 4 | 3468 | 54 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 a a) (*.f64 b b)))) (-.f64 (/.f64 1 b) (/.f64 1 a))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
(*.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (fma.f64 b b (*.f64 a (neg.f64 a))))) |
(*.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 b a)) (+.f64 b a))) |
(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 2 (fma.f64 b b (*.f64 a (neg.f64 a))))) |
(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 a a) (*.f64 b b)))) (-.f64 (/.f64 1 b) (/.f64 1 a))) |
(*.f64 (/.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 a a) (*.f64 b b))) (+.f64 (/.f64 1 b) (/.f64 -1 a))) |
(*.f64 (/.f64 (PI.f64) 2) (/.f64 (+.f64 (/.f64 1 b) (/.f64 -1 a)) (-.f64 (*.f64 a a) (*.f64 b b)))) |
(/.f64 (/.f64 (PI.f64) 2) (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 (/.f64 -1 a) (/.f64 -1 b)))) |
(/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (-.f64 (*.f64 a a) (*.f64 b b))) 2) |
Compiled 25 to 19 computations (24% saved)
| 1× | egg-herbie |
| 691× | div-sub_binary64 |
| 599× | times-frac_binary64 |
| 514× | associate-/l*_binary64 |
| 357× | associate-/l/_binary64 |
| 267× | distribute-rgt-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 32 |
| 1 | 37 | 29 |
| 2 | 101 | 29 |
| 3 | 404 | 29 |
| 4 | 1792 | 28 |
| 5 | 5806 | 28 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
(*.f64 (/.f64 (PI.f64) 2) (*.f64 (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) 2) (fma.f64 b b (*.f64 a (neg.f64 a)))) (+.f64 (/.f64 1 a) (/.f64 -1 b))) |
(*.f64 (/.f64 (PI.f64) 2) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (fma.f64 b b (*.f64 a (neg.f64 a))))) |
(/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (/.f64 (-.f64 b a) (*.f64 (/.f64 (PI.f64) (+.f64 b a)) 1/2))) |
(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 2 (fma.f64 b b (*.f64 a (neg.f64 a))))) |
Compiled 41 to 27 computations (34.1% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 15.1b | (*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
| ▶ | 10.4b | (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 2 (fma.f64 b b (*.f64 a (neg.f64 a))))) |
Compiled 43 to 30 computations (30.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) |
| ✓ | 1.4b | (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a))) |
| ✓ | 4.2b | (-.f64 (*.f64 b b) (*.f64 a a)) |
| ✓ | 9.3b | (*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
Compiled 79 to 37 computations (53.2% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | 0 | (*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
| 1.0ms | b | @ | 0 | (*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
| 1.0ms | b | @ | inf | (*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
| 1.0ms | a | @ | inf | (*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
| 1.0ms | b | @ | -inf | (*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
| 1× | batch-egg-rewrite |
| 635× | fma-def_binary64 |
| 315× | expm1-udef_binary64 |
| 315× | log1p-udef_binary64 |
| 275× | fma-neg_binary64 |
| 273× | log-pow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 69 |
| 1 | 377 | 69 |
| 2 | 5735 | 69 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a))) |
(*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 a) (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2)) (*.f64 (/.f64 -1 b) (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2) (/.f64 1 a)) (*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) 1/2) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (*.f64 b b) (*.f64 a a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (PI.f64) 1/2) (-.f64 b a)) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (*.f64 (*.f64 2 (+.f64 b a)) 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egg-rr> (2) ((x /.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 b a) (*.f64 (*.f64 2 (+.f64 b a)) (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 a -3) (pow.f64 b -3)) (PI.f64)) (*.f64 (+.f64 (pow.f64 a -2) (+.f64 (pow.f64 b -2) (/.f64 (/.f64 1 a) b))) (*.f64 (*.f64 2 (+.f64 b a)) (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 a -2) (pow.f64 b -2)) (PI.f64)) (*.f64 (+.f64 (/.f64 1 a) (pow.f64 b -1)) (*.f64 (*.f64 2 (+.f64 b a)) (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (*.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 a -3) (pow.f64 b -3)) (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (+.f64 (pow.f64 a -2) (+.f64 (pow.f64 b -2) (/.f64 (/.f64 1 a) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 a -2) (pow.f64 b -2)) (/.f64 (PI.f64) 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(*.f64 (-.f64 (pow.f64 a -3) (pow.f64 b -3)) (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2)) (+.f64 (pow.f64 a -2) (+.f64 (pow.f64 b -2) (/.f64 (/.f64 1 a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 a -2) (pow.f64 b -2)) (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2)) (+.f64 (/.f64 1 a) (pow.f64 b -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2) (-.f64 b a)) (*.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2) (-.f64 (pow.f64 a -3) (pow.f64 b -3))) (+.f64 (pow.f64 a -2) (+.f64 (pow.f64 b -2) (/.f64 (/.f64 1 a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2) (-.f64 (pow.f64 a -2) (pow.f64 b -2))) (+.f64 (/.f64 1 a) (pow.f64 b -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1 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(-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 (neg.f64 (+.f64 b a)) (-.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (PI.f64)) (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (neg.f64 (+.f64 b a)) (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (PI.f64)) 1) (*.f64 -2 (-.f64 (*.f64 b b) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) -1) (*.f64 2 (*.f64 (neg.f64 (+.f64 b a)) (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (PI.f64)) -1) (*.f64 -2 (*.f64 (neg.f64 (+.f64 b a)) (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 (PI.f64))) (*.f64 (*.f64 (neg.f64 (+.f64 b a)) (-.f64 b a)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) 1/2) (hypot.f64 b (sqrt.f64 (*.f64 a (neg.f64 a))))) (hypot.f64 b (sqrt.f64 (*.f64 a (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) 1/2) 1) (-.f64 (*.f64 b b) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b b) (*.f64 a a))) 2)) (cbrt.f64 (-.f64 (*.f64 b b) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 1 (+.f64 b a)) (-.f64 b a))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 (PI.f64) 1/2)) (*.f64 (neg.f64 (+.f64 b a)) (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (PI.f64) 1/2) -1) (*.f64 (neg.f64 (+.f64 b a)) (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 b a)) (-.f64 b a)) (neg.f64 (PI.f64))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (-.f64 (*.f64 b b) (*.f64 a a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (/.f64 (/.f64 1 (+.f64 b a)) (-.f64 b a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (+.f64 b a)) (-.f64 b a)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) 1/2)) 1)))))) |
| 1× | egg-herbie |
| 918× | times-frac_binary64 |
| 742× | fma-neg_binary64 |
| 465× | cancel-sign-sub-inv_binary64 |
| 445× | associate-/l*_binary64 |
| 445× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 111 | 2505 |
| 1 | 333 | 2460 |
| 2 | 1093 | 2289 |
| 3 | 5638 | 2289 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))) |
(*.f64 -1 (pow.f64 a 2)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(pow.f64 b 2) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(pow.f64 b 2) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(pow.f64 b 2) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(*.f64 -1 (pow.f64 a 2)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(*.f64 -1 (pow.f64 a 2)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(/.f64 -1 (pow.f64 a 2)) |
(-.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4))) (/.f64 1 (pow.f64 a 2))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 6))) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4)))) (/.f64 1 (pow.f64 a 2))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 6) (pow.f64 a 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 6))) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4))))) (/.f64 1 (pow.f64 a 2))) |
(/.f64 1 (pow.f64 b 2)) |
(+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (/.f64 1 (pow.f64 b 2))) |
(+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (+.f64 (/.f64 1 (pow.f64 b 2)) (/.f64 (pow.f64 a 4) (pow.f64 b 6)))) |
(+.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 8)) (+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (+.f64 (/.f64 1 (pow.f64 b 2)) (/.f64 (pow.f64 a 4) (pow.f64 b 6))))) |
(/.f64 1 (pow.f64 b 2)) |
(+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (/.f64 1 (pow.f64 b 2))) |
(+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (+.f64 (/.f64 1 (pow.f64 b 2)) (/.f64 (pow.f64 a 4) (pow.f64 b 6)))) |
(+.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 8)) (+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (+.f64 (/.f64 1 (pow.f64 b 2)) (/.f64 (pow.f64 a 4) (pow.f64 b 6))))) |
(/.f64 1 (pow.f64 b 2)) |
(+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (/.f64 1 (pow.f64 b 2))) |
(+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (+.f64 (/.f64 1 (pow.f64 b 2)) (/.f64 (pow.f64 a 4) (pow.f64 b 6)))) |
(+.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 8)) (+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 4)) (+.f64 (/.f64 1 (pow.f64 b 2)) (/.f64 (pow.f64 a 4) (pow.f64 b 6))))) |
(/.f64 -1 (pow.f64 a 2)) |
(-.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4))) (/.f64 1 (pow.f64 a 2))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 6))) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4)))) (/.f64 1 (pow.f64 a 2))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 6) (pow.f64 a 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 6))) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4))))) (/.f64 1 (pow.f64 a 2))) |
(/.f64 -1 (pow.f64 a 2)) |
(-.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4))) (/.f64 1 (pow.f64 a 2))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 6))) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4)))) (/.f64 1 (pow.f64 a 2))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 6) (pow.f64 a 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 6))) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 4))))) (/.f64 1 (pow.f64 a 2))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 6) (PI.f64)) (pow.f64 a 8))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))))) |
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 6) (PI.f64)) (pow.f64 b 8))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))))) |
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 6) (PI.f64)) (pow.f64 b 8))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))))) |
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 6) (PI.f64)) (pow.f64 b 8))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 6) (PI.f64)) (pow.f64 a 8))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 6) (PI.f64)) (pow.f64 a 8))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))))) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 b a) a))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 a b))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 1/2 b)) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))) |
(fma.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 b a) a)) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64)))))) |
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) a)) (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) b))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)))) |
(fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))) |
(fma.f64 1/2 (*.f64 (/.f64 (PI.f64) (pow.f64 a 4)) b) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 5) (PI.f64))) (*.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) a)) (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) b))) (*.f64 -1/2 (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 5) (PI.f64)))))) |
(fma.f64 -1/2 (*.f64 (PI.f64) (/.f64 (*.f64 b b) (pow.f64 a 5))) (fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))) |
(fma.f64 -1/2 (/.f64 b (/.f64 (pow.f64 a 5) (*.f64 (PI.f64) b))) (fma.f64 1/2 (*.f64 (/.f64 (PI.f64) (pow.f64 a 4)) b) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 b (*.f64 b a)))) |
(*.f64 (/.f64 1/2 b) (/.f64 (/.f64 (PI.f64) a) b)) |
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))) |
(fma.f64 1/2 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))))) |
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)))) |
(fma.f64 1/2 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)))) |
(fma.f64 1/2 (*.f64 (PI.f64) (/.f64 a (pow.f64 b 4))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))) |
(fma.f64 -1/2 (/.f64 (*.f64 (PI.f64) (*.f64 a a)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))))) |
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (PI.f64)) (fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))))) |
(fma.f64 1/2 (fma.f64 (/.f64 a (pow.f64 b 4)) (PI.f64) (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) (*.f64 -1/2 (fma.f64 (/.f64 a (/.f64 (pow.f64 b 5) a)) (PI.f64) (/.f64 (PI.f64) (pow.f64 b 3))))) |
(fma.f64 1/2 (fma.f64 (/.f64 a (pow.f64 b 4)) (PI.f64) (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) (*.f64 -1/2 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (PI.f64) (/.f64 (PI.f64) (pow.f64 b 3))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 b (*.f64 b a)))) |
(*.f64 (/.f64 1/2 b) (/.f64 (/.f64 (PI.f64) a) b)) |
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))) |
(fma.f64 1/2 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))))) |
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)))) |
(fma.f64 1/2 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)))) |
(fma.f64 1/2 (*.f64 (PI.f64) (/.f64 a (pow.f64 b 4))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))) |
(fma.f64 -1/2 (/.f64 (*.f64 (PI.f64) (*.f64 a a)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))))) |
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (PI.f64)) (fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))))) |
(fma.f64 1/2 (fma.f64 (/.f64 a (pow.f64 b 4)) (PI.f64) (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) (*.f64 -1/2 (fma.f64 (/.f64 a (/.f64 (pow.f64 b 5) a)) (PI.f64) (/.f64 (PI.f64) (pow.f64 b 3))))) |
(fma.f64 1/2 (fma.f64 (/.f64 a (pow.f64 b 4)) (PI.f64) (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) (*.f64 -1/2 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (PI.f64) (/.f64 (PI.f64) (pow.f64 b 3))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 b (*.f64 b a)))) |
(*.f64 (/.f64 1/2 b) (/.f64 (/.f64 (PI.f64) a) b)) |
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))) |
(fma.f64 1/2 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))))) |
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)))) |
(fma.f64 1/2 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)))) |
(fma.f64 1/2 (*.f64 (PI.f64) (/.f64 a (pow.f64 b 4))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))) |
(fma.f64 -1/2 (/.f64 (*.f64 (PI.f64) (*.f64 a a)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))))) |
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (PI.f64)) (fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))))) |
(fma.f64 1/2 (fma.f64 (/.f64 a (pow.f64 b 4)) (PI.f64) (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) (*.f64 -1/2 (fma.f64 (/.f64 a (/.f64 (pow.f64 b 5) a)) (PI.f64) (/.f64 (PI.f64) (pow.f64 b 3))))) |
(fma.f64 1/2 (fma.f64 (/.f64 a (pow.f64 b 4)) (PI.f64) (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) (*.f64 -1/2 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (PI.f64) (/.f64 (PI.f64) (pow.f64 b 3))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 b a) a))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 a b))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 1/2 b)) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))) |
(fma.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 b a) a)) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64)))))) |
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) a)) (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) b))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)))) |
(fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))) |
(fma.f64 1/2 (*.f64 (/.f64 (PI.f64) (pow.f64 a 4)) b) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))) |
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(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 6) (PI.f64)) (pow.f64 a 8))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))))) |
(fma.f64 -1/2 (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 4) (PI.f64))) (fma.f64 -1/2 (/.f64 (*.f64 (PI.f64) (pow.f64 b 6)) (pow.f64 a 8)) (*.f64 -1/2 (+.f64 (/.f64 (pow.f64 b 4) (/.f64 (pow.f64 a 6) (PI.f64))) (/.f64 (PI.f64) (*.f64 a a)))))) |
(fma.f64 -1/2 (*.f64 (/.f64 b (/.f64 (pow.f64 a 4) b)) (PI.f64)) (*.f64 -1/2 (+.f64 (+.f64 (/.f64 (/.f64 (PI.f64) a) a) (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (PI.f64))) (/.f64 (pow.f64 b 6) (/.f64 (pow.f64 a 8) (PI.f64)))))) |
(*.f64 -1/2 (+.f64 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (PI.f64) (/.f64 (PI.f64) (*.f64 a a))) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 b b) (pow.f64 a 4)) (/.f64 (pow.f64 b 6) (pow.f64 a 8)))))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) a)) |
(/.f64 (*.f64 (PI.f64) -1/2) (*.f64 a a)) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))) |
(*.f64 -1/2 (+.f64 (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 4) (PI.f64))) (/.f64 (PI.f64) (*.f64 a a)))) |
(*.f64 -1/2 (+.f64 (/.f64 (/.f64 (PI.f64) a) a) (*.f64 (/.f64 b (/.f64 (pow.f64 a 4) b)) (PI.f64)))) |
(*.f64 -1/2 (fma.f64 (/.f64 (*.f64 b b) (pow.f64 a 4)) (PI.f64) (/.f64 (PI.f64) (*.f64 a a)))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))) |
(fma.f64 -1/2 (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 4) (PI.f64))) (*.f64 -1/2 (+.f64 (/.f64 (pow.f64 b 4) (/.f64 (pow.f64 a 6) (PI.f64))) (/.f64 (PI.f64) (*.f64 a a))))) |
(*.f64 -1/2 (+.f64 (*.f64 (/.f64 b (/.f64 (pow.f64 a 4) b)) (PI.f64)) (+.f64 (/.f64 (/.f64 (PI.f64) a) a) (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (PI.f64))))) |
(*.f64 -1/2 (+.f64 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 b b) (pow.f64 a 4)) (/.f64 (pow.f64 b 4) (pow.f64 a 6)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 6) (PI.f64)) (pow.f64 a 8))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))))) |
(fma.f64 -1/2 (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 4) (PI.f64))) (fma.f64 -1/2 (/.f64 (*.f64 (PI.f64) (pow.f64 b 6)) (pow.f64 a 8)) (*.f64 -1/2 (+.f64 (/.f64 (pow.f64 b 4) (/.f64 (pow.f64 a 6) (PI.f64))) (/.f64 (PI.f64) (*.f64 a a)))))) |
(fma.f64 -1/2 (*.f64 (/.f64 b (/.f64 (pow.f64 a 4) b)) (PI.f64)) (*.f64 -1/2 (+.f64 (+.f64 (/.f64 (/.f64 (PI.f64) a) a) (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (PI.f64))) (/.f64 (pow.f64 b 6) (/.f64 (pow.f64 a 8) (PI.f64)))))) |
(*.f64 -1/2 (+.f64 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (PI.f64) (/.f64 (PI.f64) (*.f64 a a))) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 b b) (pow.f64 a 4)) (/.f64 (pow.f64 b 6) (pow.f64 a 8)))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) |
| ✓ | 0.3b | (/.f64 (PI.f64) a) |
| ✓ | 2.5b | (fma.f64 b b (*.f64 a (neg.f64 a))) |
| ✓ | 10.4b | (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 2 (fma.f64 b b (*.f64 a (neg.f64 a))))) |
Compiled 61 to 22 computations (63.9% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | 0 | (fma.f64 b b (*.f64 a (neg.f64 a))) |
| 1.0ms | b | @ | 0 | (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 2 (fma.f64 b b (*.f64 a (neg.f64 a))))) |
| 0.0ms | b | @ | -inf | (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 2 (fma.f64 b b (*.f64 a (neg.f64 a))))) |
| 0.0ms | b | @ | inf | (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 2 (fma.f64 b b (*.f64 a (neg.f64 a))))) |
| 0.0ms | b | @ | -inf | (fma.f64 b b (*.f64 a (neg.f64 a))) |
| 1× | batch-egg-rewrite |
| 685× | log-prod_binary64 |
| 354× | pow2_binary64 |
| 336× | prod-diff_binary64 |
| 247× | pow1/3_binary64 |
| 244× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 56 |
| 1 | 296 | 50 |
| 2 | 3921 | 50 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 2 (fma.f64 b b (*.f64 a (neg.f64 a))))) |
(fma.f64 b b (*.f64 a (neg.f64 a))) |
(/.f64 (PI.f64) a) |
(fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2)))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2)))) 2) (cbrt.f64 (*.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (/.f64 1/2 (pow.f64 (hypot.f64 b a) 2)))))))) (#(struct:change #<rule 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(fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 b))) (exp.f64 (/.f64 (PI.f64) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 b))) (+.f64 1 (expm1.f64 (/.f64 (PI.f64) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (PI.f64) a)) (exp.f64 (/.f64 (PI.f64) (neg.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) a))) (exp.f64 (/.f64 (PI.f64) (neg.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 b))) (+.f64 1 (expm1.f64 (/.f64 (PI.f64) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 1)))))) |
| 1× | egg-herbie |
| 948× | fma-def_binary64 |
| 668× | unswap-sqr_binary64 |
| 456× | associate-*l/_binary64 |
| 402× | associate-*l*_binary64 |
| 400× | associate-*r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 1308 |
| 1 | 164 | 1254 |
| 2 | 482 | 1173 |
| 3 | 1727 | 1152 |
| 4 | 6013 | 1134 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))) |
(*.f64 -1 (pow.f64 a 2)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(pow.f64 b 2) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(pow.f64 b 2) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(pow.f64 b 2) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(*.f64 -1 (pow.f64 a 2)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(*.f64 -1 (pow.f64 a 2)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(*.f64 -1 (/.f64 (PI.f64) b)) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(/.f64 (PI.f64) a) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(/.f64 (PI.f64) a) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(/.f64 (PI.f64) a) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(*.f64 -1 (/.f64 (PI.f64) b)) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(*.f64 -1 (/.f64 (PI.f64) b)) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(/.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a a))) b) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a)) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 a b))) |
(*.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (*.f64 a a))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a a))) b)) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64)))))) |
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64)))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)))) |
(fma.f64 1/2 (*.f64 (PI.f64) (/.f64 b (pow.f64 a 4))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)) (*.f64 1/2 (/.f64 (/.f64 b a) a)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)) (*.f64 1/2 (/.f64 b (*.f64 a a))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 5) (PI.f64))) (*.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64)))) (*.f64 -1/2 (*.f64 (/.f64 (*.f64 b b) (pow.f64 a 5)) (PI.f64))))) |
(fma.f64 -1/2 (*.f64 (PI.f64) (/.f64 b (/.f64 (pow.f64 a 5) b))) (fma.f64 1/2 (*.f64 (PI.f64) (/.f64 b (pow.f64 a 4))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))) |
(fma.f64 -1/2 (*.f64 (/.f64 b (pow.f64 a 5)) (*.f64 (PI.f64) b)) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)) (*.f64 1/2 (/.f64 (/.f64 b a) a))))) |
(fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)) (*.f64 (*.f64 (PI.f64) b) (+.f64 (/.f64 1/2 (pow.f64 a 4)) (/.f64 -1/2 (/.f64 (pow.f64 a 5) b))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 b (*.f64 b a)))) |
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a b))) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 b b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))))) |
(fma.f64 1/2 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 -1/2 b) (/.f64 1/2 a))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))) |
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(*.f64 a (neg.f64 a)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(fma.f64 -1 (*.f64 a a) (*.f64 b b)) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(fma.f64 a (neg.f64 a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(fma.f64 -1 (*.f64 a a) (*.f64 b b)) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(fma.f64 a (neg.f64 a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(fma.f64 -1 (*.f64 a a) (*.f64 b b)) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(fma.f64 a (neg.f64 a) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(fma.f64 -1 (*.f64 a a) (*.f64 b b)) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(fma.f64 a (neg.f64 a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(fma.f64 -1 (*.f64 a a) (*.f64 b b)) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(fma.f64 a (neg.f64 a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(fma.f64 -1 (*.f64 a a) (*.f64 b b)) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(fma.f64 a (neg.f64 a) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(fma.f64 -1 (*.f64 a a) (*.f64 b b)) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(fma.f64 a (neg.f64 a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(fma.f64 -1 (*.f64 a a) (*.f64 b b)) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(fma.f64 a (neg.f64 a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(fma.f64 -1 (*.f64 a a) (*.f64 b b)) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(fma.f64 a (neg.f64 a) (*.f64 b b)) |
(pow.f64 b 2) |
(*.f64 b b) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(fma.f64 -1 (*.f64 a a) (*.f64 b b)) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(fma.f64 a (neg.f64 a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(fma.f64 -1 (*.f64 a a) (*.f64 b b)) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(fma.f64 a (neg.f64 a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(fma.f64 -1 (*.f64 a a) (*.f64 b b)) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(fma.f64 a (neg.f64 a) (*.f64 b b)) |
(*.f64 -1 (pow.f64 a 2)) |
(neg.f64 (*.f64 a a)) |
(*.f64 a (neg.f64 a)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(fma.f64 -1 (*.f64 a a) (*.f64 b b)) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(fma.f64 a (neg.f64 a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(fma.f64 -1 (*.f64 a a) (*.f64 b b)) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(fma.f64 a (neg.f64 a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(fma.f64 -1 (*.f64 a a) (*.f64 b b)) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(fma.f64 a (neg.f64 a) (*.f64 b b)) |
(*.f64 -1 (pow.f64 a 2)) |
(neg.f64 (*.f64 a a)) |
(*.f64 a (neg.f64 a)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(fma.f64 -1 (*.f64 a a) (*.f64 b b)) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(fma.f64 a (neg.f64 a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(fma.f64 -1 (*.f64 a a) (*.f64 b b)) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(fma.f64 a (neg.f64 a) (*.f64 b b)) |
(+.f64 (*.f64 -1 (pow.f64 a 2)) (pow.f64 b 2)) |
(fma.f64 -1 (*.f64 a a) (*.f64 b b)) |
(-.f64 (*.f64 b b) (*.f64 a a)) |
(fma.f64 a (neg.f64 a) (*.f64 b b)) |
(*.f64 -1 (/.f64 (PI.f64) b)) |
(neg.f64 (/.f64 (PI.f64) b)) |
(/.f64 (neg.f64 (PI.f64)) b) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a)) |
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a)) |
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a)) |
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
(/.f64 (PI.f64) a) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a)) |
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a)) |
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a)) |
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
(/.f64 (PI.f64) a) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a)) |
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a)) |
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a)) |
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
(/.f64 (PI.f64) a) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a)) |
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a)) |
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a)) |
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
(*.f64 -1 (/.f64 (PI.f64) b)) |
(neg.f64 (/.f64 (PI.f64) b)) |
(/.f64 (neg.f64 (PI.f64)) b) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a)) |
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a)) |
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a)) |
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
(*.f64 -1 (/.f64 (PI.f64) b)) |
(neg.f64 (/.f64 (PI.f64) b)) |
(/.f64 (neg.f64 (PI.f64)) b) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a)) |
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a)) |
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
(+.f64 (/.f64 (PI.f64) a) (*.f64 -1 (/.f64 (PI.f64) b))) |
(+.f64 (neg.f64 (/.f64 (PI.f64) b)) (/.f64 (PI.f64) a)) |
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) |
Compiled 21141 to 10185 computations (51.8% saved)
19 alts after pruning (19 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 650 | 19 | 669 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 652 | 19 | 671 |
| Status | Error | Program |
|---|---|---|
| 15.1b | (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 b a)) (*.f64 2 (*.f64 b a))) | |
| 10.4b | (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (pow.f64 (/.f64 a (PI.f64)) -1)) (*.f64 2 (fma.f64 b b (*.f64 a (neg.f64 a))))) | |
| 30.4b | (*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 1 b) b)) (-.f64 (/.f64 1 a) (/.f64 1 b))) | |
| 19.5b | (/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 b a) (-.f64 (*.f64 b b) (*.f64 a a)))) | |
| 24.9b | (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a b))) | |
| 32.0b | (*.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (*.f64 a a))) | |
| 31.2b | (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b))) | |
| ▶ | 29.4b | (*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 b b)))) |
| 32.0b | (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 1/2 b)) | |
| 20.3b | (*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 2) (*.f64 (hypot.f64 b a) (sqrt.f64 2))) (/.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) (*.f64 (hypot.f64 b a) (sqrt.f64 2)))) | |
| 29.1b | (/.f64 (*.f64 (-.f64 (pow.f64 a -2) (pow.f64 b -2)) (*.f64 (PI.f64) 1/2)) (*.f64 (+.f64 (/.f64 1 a) (pow.f64 b -1)) (-.f64 (*.f64 b b) (*.f64 a a)))) | |
| 20.1b | (*.f64 (/.f64 1 (*.f64 (hypot.f64 b a) (sqrt.f64 2))) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 (hypot.f64 b a) (sqrt.f64 2)))) | |
| 15.2b | (/.f64 (*.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (*.f64 (PI.f64) 1/2)) (-.f64 (*.f64 b b) (*.f64 a a))) | |
| ▶ | 15.2b | (*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (PI.f64) 1/2))) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
| ▶ | 35.2b | (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
| 10.5b | (*.f64 (/.f64 (PI.f64) (/.f64 2 (/.f64 (/.f64 1 (+.f64 b a)) (-.f64 b a)))) (-.f64 (/.f64 1 a) (/.f64 1 b))) | |
| 35.0b | (*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 -1 a) a)) (-.f64 (/.f64 1 a) (/.f64 1 b))) | |
| ▶ | 15.1b | (/.f64 (*.f64 (PI.f64) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (*.f64 b b) (*.f64 a a)))) 2) |
| ▶ | 9.3b | (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a)) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
Compiled 754 to 534 computations (29.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (/.f64 1 a) (/.f64 1 b)) |
| ✓ | 0.1b | (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a)) |
| ✓ | 0.3b | (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) |
| ✓ | 9.3b | (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a)) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
Compiled 66 to 35 computations (47% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | b | @ | inf | (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a)) |
| 4.0ms | a | @ | 0 | (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a)) |
| 2.0ms | b | @ | 0 | (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a)) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
| 2.0ms | a | @ | 0 | (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a)) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
| 1.0ms | a | @ | 0 | (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) |
| 1× | batch-egg-rewrite |
| 489× | fma-def_binary64 |
| 311× | expm1-udef_binary64 |
| 311× | log1p-udef_binary64 |
| 261× | log-pow_binary64 |
| 247× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 67 |
| 1 | 349 | 55 |
| 2 | 5610 | 55 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a)) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
(/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) |
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a)) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 a) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 1/2 (+.f64 b a)))) (*.f64 (/.f64 -1 b) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 1/2 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 1/2 (+.f64 b a))) (/.f64 1 a)) (*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 1/2 (+.f64 b a))) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (*.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (*.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (/.f64 (-.f64 b a) (+.f64 (/.f64 1 a) (/.f64 -1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) (/.f64 (+.f64 b a) (*.f64 (PI.f64) 1/2))) (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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| 1× | egg-herbie |
| 392× | fma-def_binary64 |
| 390× | distribute-rgt-out--_binary64 |
| 320× | fma-neg_binary64 |
| 255× | associate-*r*_binary64 |
| 253× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 282 | 3779 |
| 1 | 1044 | 3132 |
| 2 | 5562 | 2095 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(+.f64 (*.f64 1/2 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 a 4))))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (*.f64 b (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 a 4)))) (+.f64 a (*.f64 -1 a))) (pow.f64 a 2))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 4)))))) (+.f64 (*.f64 1/2 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 a 4))))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 b 2) (+.f64 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 a 4)))) (+.f64 a (*.f64 -1 a))) (pow.f64 a 2))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 4))))) (pow.f64 a 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 a 4)))) (pow.f64 a 2)))))) (+.f64 (*.f64 -1/2 (*.f64 b (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 a 4)))) (+.f64 a (*.f64 -1 a))) (pow.f64 a 2))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 4)))))) (+.f64 (*.f64 1/2 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 a 4))))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (PI.f64)) (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) a)) (pow.f64 b 3)))) |
(+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (-.f64 (*.f64 -1 (PI.f64)) (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) a))) (*.f64 -1 (*.f64 a (PI.f64)))) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (PI.f64)) (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) a)) (pow.f64 b 3))))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 a (*.f64 -1 a)) (+.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (-.f64 (*.f64 -1 (PI.f64)) (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) a))) (*.f64 -1 (*.f64 a (PI.f64)))))) (*.f64 -1 (*.f64 (pow.f64 a 2) (-.f64 (*.f64 -1 (PI.f64)) (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) a))))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (-.f64 (*.f64 -1 (PI.f64)) (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) a))) (*.f64 -1 (*.f64 a (PI.f64)))) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (PI.f64)) (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) a)) (pow.f64 b 3)))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (PI.f64)) (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) a)) (pow.f64 b 3)))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 a (PI.f64)) (*.f64 -1 (*.f64 (+.f64 a (*.f64 -1 a)) (-.f64 (*.f64 -1 (PI.f64)) (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) a))))) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (PI.f64)) (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) a)) (pow.f64 b 3))))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 a (PI.f64)) (*.f64 -1 (*.f64 (+.f64 a (*.f64 -1 a)) (-.f64 (*.f64 -1 (PI.f64)) (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) a))))) (+.f64 a (*.f64 -1 a))) (*.f64 -1 (*.f64 (pow.f64 a 2) (-.f64 (*.f64 -1 (PI.f64)) (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) a))))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 a (PI.f64)) (*.f64 -1 (*.f64 (+.f64 a (*.f64 -1 a)) (-.f64 (*.f64 -1 (PI.f64)) (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) a))))) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (PI.f64)) (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) a)) (pow.f64 b 3)))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) (*.f64 1/2 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 b 4))))) |
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 4))) (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 b 4))) (+.f64 b (*.f64 -1 b))) (pow.f64 b 2))) a)) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) (*.f64 1/2 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 b 4)))))) |
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 4))) (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 b 4))) (+.f64 b (*.f64 -1 b))) (pow.f64 b 2))) a)) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 b 4))) (pow.f64 b 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 4))) (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 b 4))) (+.f64 b (*.f64 -1 b))) (pow.f64 b 2))) (+.f64 b (*.f64 -1 b))) (pow.f64 b 2)))))) (*.f64 1/2 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 b 4))))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (PI.f64)) (*.f64 -1 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))) (pow.f64 a 3)))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 b (*.f64 -1 b)) (-.f64 (*.f64 -1 (PI.f64)) (*.f64 -1 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))))) (*.f64 -1 (*.f64 b (PI.f64)))) (pow.f64 a 4))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (PI.f64)) (*.f64 -1 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))) (pow.f64 a 3))))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 b (*.f64 -1 b)) (-.f64 (*.f64 -1 (PI.f64)) (*.f64 -1 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))))) (*.f64 -1 (*.f64 b (PI.f64)))) (pow.f64 a 4))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (+.f64 (*.f64 -1 (*.f64 (+.f64 b (*.f64 -1 b)) (-.f64 (*.f64 -1 (PI.f64)) (*.f64 -1 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))))) (*.f64 -1 (*.f64 b (PI.f64))))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (PI.f64)) (*.f64 -1 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))) (pow.f64 b 2)))) (pow.f64 a 5))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (PI.f64)) (*.f64 -1 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))) (pow.f64 a 3)))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(+.f64 (*.f64 -1/2 (/.f64 (-.f64 (PI.f64) (*.f64 -1 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (-.f64 (PI.f64) (*.f64 -1 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 b (*.f64 -1 b)) (-.f64 (PI.f64) (*.f64 -1 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))))) (*.f64 -1 (*.f64 b (PI.f64)))) (pow.f64 a 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))) |
(+.f64 (*.f64 -1/2 (/.f64 (-.f64 (PI.f64) (*.f64 -1 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 b (*.f64 -1 b)) (-.f64 (PI.f64) (*.f64 -1 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))))) (*.f64 -1 (*.f64 b (PI.f64)))) (+.f64 b (*.f64 -1 b))) (*.f64 -1 (*.f64 (pow.f64 b 2) (-.f64 (PI.f64) (*.f64 -1 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b)))))) (pow.f64 a 5))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 b (*.f64 -1 b)) (-.f64 (PI.f64) (*.f64 -1 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) b))))) (*.f64 -1 (*.f64 b (PI.f64)))) (pow.f64 a 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))))) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(+.f64 (*.f64 1/2 (/.f64 (PI.f64) a)) (*.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2)))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) a)) (*.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2))))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 3) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) a)) (*.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2)))))) |
(*.f64 1/2 (/.f64 (PI.f64) b)) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 2))) (*.f64 1/2 (/.f64 (PI.f64) b))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 2))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) b)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 3))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 3) (PI.f64)) (pow.f64 b 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 2))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) b)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 3)))))) |
(*.f64 1/2 (/.f64 (PI.f64) b)) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 2))) (*.f64 1/2 (/.f64 (PI.f64) b))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 2))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) b)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 3))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 3) (PI.f64)) (pow.f64 b 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 2))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) b)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 3)))))) |
(*.f64 1/2 (/.f64 (PI.f64) b)) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 2))) (*.f64 1/2 (/.f64 (PI.f64) b))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 2))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) b)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 3))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 3) (PI.f64)) (pow.f64 b 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 2))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) b)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 3)))))) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(+.f64 (*.f64 1/2 (/.f64 (PI.f64) a)) (*.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2)))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) a)) (*.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2))))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 3) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) a)) (*.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2)))))) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(+.f64 (*.f64 1/2 (/.f64 (PI.f64) a)) (*.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2)))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) a)) (*.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2))))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 3) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) a)) (*.f64 -1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 2)))))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (*.f64 b (PI.f64))) (pow.f64 a 4)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (*.f64 b (PI.f64))) (pow.f64 a 4))) (*.f64 -1/2 (*.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -1 a)) 2) (PI.f64)) (pow.f64 a 6)) (/.f64 (PI.f64) (pow.f64 a 4))) (pow.f64 b 2))))) |
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 a 6)) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -1 a)) 2) (PI.f64)) (pow.f64 a 6)) (/.f64 (PI.f64) (pow.f64 a 4))) (+.f64 a (*.f64 -1 a))) (pow.f64 a 2))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (*.f64 b (PI.f64))) (pow.f64 a 4))) (*.f64 -1/2 (*.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -1 a)) 2) (PI.f64)) (pow.f64 a 6)) (/.f64 (PI.f64) (pow.f64 a 4))) (pow.f64 b 2)))))) |
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (PI.f64))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 a (*.f64 -1 a)) 2) (PI.f64)))) (pow.f64 b 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (PI.f64))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 a (*.f64 -1 a)) 2) (PI.f64)))) (pow.f64 b 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (PI.f64))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 a (*.f64 -1 a)) 2) (PI.f64)))) (+.f64 a (*.f64 -1 a)))) (*.f64 (+.f64 a (*.f64 -1 a)) (*.f64 (pow.f64 a 2) (PI.f64)))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))))) |
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 a (*.f64 -1 a)) 2) (PI.f64))) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 a (*.f64 -1 a)) 2) (PI.f64))) (+.f64 a (*.f64 -1 a))) (*.f64 (+.f64 a (*.f64 -1 a)) (*.f64 (pow.f64 a 2) (PI.f64)))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 a (*.f64 -1 a)) 2) (PI.f64))) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))))) |
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (*.f64 a (PI.f64))) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64)) (pow.f64 b 6))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 4)))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (*.f64 a (PI.f64))) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 4))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64)) (pow.f64 b 6))))) (pow.f64 b 2))) (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 b 6))))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64)) (pow.f64 b 6))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 4)))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (*.f64 a (PI.f64))) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 a 3)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64))) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 a 3))))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (+.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64)))) (*.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (pow.f64 b 2) (PI.f64)))) (pow.f64 a 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64))) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 a 3)))))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 a 3)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64))) (pow.f64 a 4))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 a 3))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (+.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64)))) (*.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (pow.f64 b 2) (PI.f64)))) (pow.f64 a 5))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64))) (pow.f64 a 4))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 a 3)))))) |
(/.f64 1 a) |
(/.f64 -1 b) |
(/.f64 -1 b) |
(/.f64 -1 b) |
(/.f64 1 a) |
(/.f64 1 a) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 (/.f64 1/2 (*.f64 a a)) (/.f64 (PI.f64) b)) |
(+.f64 (*.f64 1/2 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 a 4))))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(*.f64 1/2 (+.f64 (*.f64 -1 (-.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 0 a) (/.f64 (pow.f64 a 4) (PI.f64))))) (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(*.f64 1/2 (fma.f64 -1 (+.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 (/.f64 0 (pow.f64 a 4)) (PI.f64))) (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 1/2 (-.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) (/.f64 (PI.f64) (pow.f64 a 3)))) |
(+.f64 (*.f64 -1/2 (*.f64 b (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 a 4)))) (+.f64 a (*.f64 -1 a))) (pow.f64 a 2))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 4)))))) (+.f64 (*.f64 1/2 (-.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 a 4))))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))))) |
(fma.f64 -1/2 (*.f64 b (*.f64 -1 (+.f64 (/.f64 (*.f64 -1 (-.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 0 a) (/.f64 (pow.f64 a 4) (PI.f64))))) (/.f64 (*.f64 a a) (*.f64 0 a))) (/.f64 (PI.f64) (pow.f64 a 4))))) (*.f64 1/2 (+.f64 (*.f64 -1 (-.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 0 a) (/.f64 (pow.f64 a 4) (PI.f64))))) (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))))) |
(fma.f64 1/2 (fma.f64 -1 (+.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 (/.f64 0 (pow.f64 a 4)) (PI.f64))) (/.f64 (PI.f64) (*.f64 a (*.f64 a b)))) (*.f64 (-.f64 (/.f64 (*.f64 0 (+.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 (/.f64 0 (pow.f64 a 4)) (PI.f64)))) (*.f64 a a)) (/.f64 (PI.f64) (pow.f64 a 4))) (*.f64 b -1/2))) |
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(fma.f64 1/2 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 0 (/.f64 (pow.f64 b 3) (PI.f64)))) |
(fma.f64 1/2 (/.f64 (PI.f64) (*.f64 b b)) 0) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 a (*.f64 -1 a)) 2) (PI.f64))) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))) |
(fma.f64 -1/2 (/.f64 (*.f64 -1 (*.f64 (PI.f64) (+.f64 (*.f64 a a) (pow.f64 (*.f64 0 a) 2)))) (pow.f64 b 4)) (fma.f64 -1/2 (/.f64 (*.f64 0 a) (/.f64 (pow.f64 b 3) (PI.f64))) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 b b)))) |
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) (fma.f64 a a 0)))) (/.f64 0 (/.f64 (pow.f64 b 3) (PI.f64)))) |
(*.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) (*.f64 a a))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -1 a)) (PI.f64)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 a (*.f64 -1 a)) 2) (PI.f64))) (+.f64 a (*.f64 -1 a))) (*.f64 (+.f64 a (*.f64 -1 a)) (*.f64 (pow.f64 a 2) (PI.f64)))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 a (*.f64 -1 a)) 2) (PI.f64))) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))))) |
(fma.f64 -1/2 (/.f64 (*.f64 -1 (*.f64 (PI.f64) (+.f64 (*.f64 a a) (pow.f64 (*.f64 0 a) 2)))) (pow.f64 b 4)) (fma.f64 -1/2 (/.f64 (*.f64 0 a) (/.f64 (pow.f64 b 3) (PI.f64))) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (*.f64 (*.f64 0 a) (*.f64 -1 (*.f64 (PI.f64) (+.f64 (*.f64 a a) (pow.f64 (*.f64 0 a) 2))))) (*.f64 (*.f64 0 a) (*.f64 (PI.f64) (*.f64 a a)))) (pow.f64 b 5)) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 b b))))) |
(+.f64 (/.f64 0 (/.f64 (pow.f64 b 3) (PI.f64))) (fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) (fma.f64 a a 0)))) (/.f64 (*.f64 (PI.f64) 0) (pow.f64 b 5)))) |
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) (*.f64 a a)))) (/.f64 0 (pow.f64 b 5))) |
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 b b)) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (*.f64 a (PI.f64))) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))) |
(fma.f64 -1/2 (/.f64 (*.f64 0 a) (/.f64 (pow.f64 b 3) (PI.f64))) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 b b))) |
(fma.f64 1/2 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 0 (/.f64 (pow.f64 b 3) (PI.f64)))) |
(fma.f64 1/2 (/.f64 (PI.f64) (*.f64 b b)) 0) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64)) (pow.f64 b 6))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 4)))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (*.f64 a (PI.f64))) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))) |
(fma.f64 -1/2 (/.f64 (*.f64 -1 (*.f64 (PI.f64) (+.f64 (*.f64 a a) (pow.f64 (*.f64 0 a) 2)))) (pow.f64 b 4)) (fma.f64 -1/2 (/.f64 (*.f64 0 a) (/.f64 (pow.f64 b 3) (PI.f64))) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 b b)))) |
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) (fma.f64 a a 0)))) (/.f64 0 (/.f64 (pow.f64 b 3) (PI.f64)))) |
(*.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) (*.f64 a a))))) |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 4))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64)) (pow.f64 b 6))))) (pow.f64 b 2))) (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 b 6))))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64)) (pow.f64 b 6))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 4)))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (*.f64 a (PI.f64))) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))))) |
(fma.f64 -1/2 (/.f64 (*.f64 -1 (*.f64 (PI.f64) (+.f64 (*.f64 a a) (pow.f64 (*.f64 0 a) 2)))) (pow.f64 b 4)) (fma.f64 -1/2 (/.f64 (*.f64 0 a) (/.f64 (pow.f64 b 3) (PI.f64))) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 b b)))) |
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) (fma.f64 a a 0)))) (/.f64 0 (/.f64 (pow.f64 b 3) (PI.f64)))) |
(*.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) (*.f64 a a))))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 a 3)))) |
(*.f64 -1/2 (+.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (*.f64 0 a) (/.f64 (pow.f64 a 4) (*.f64 (PI.f64) b))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 (/.f64 0 (pow.f64 a 4)) (PI.f64))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) 0) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64))) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 a 3))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 -1/2 (+.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 b b) (pow.f64 (*.f64 0 b) 2))) (pow.f64 a 4)) (/.f64 (*.f64 0 b) (/.f64 (pow.f64 a 3) (PI.f64)))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) (fma.f64 b b 0))) (*.f64 (/.f64 0 (pow.f64 a 3)) (PI.f64)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) (*.f64 b b))) 0)) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (+.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64)))) (*.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (pow.f64 b 2) (PI.f64)))) (pow.f64 a 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64))) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 a 3)))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 -1/2 (+.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 b b) (pow.f64 (*.f64 0 b) 2))) (pow.f64 a 4)) (/.f64 (*.f64 0 b) (/.f64 (pow.f64 a 3) (PI.f64)))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) (fma.f64 b b 0))) (*.f64 (/.f64 0 (pow.f64 a 3)) (PI.f64)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) (*.f64 b b))) 0)) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 a 3)))) |
(*.f64 -1/2 (+.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (*.f64 0 a) (/.f64 (pow.f64 a 4) (*.f64 (PI.f64) b))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 (/.f64 0 (pow.f64 a 4)) (PI.f64))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) 0) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64))) (pow.f64 a 4))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 a 3))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 -1/2 (+.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 b b) (pow.f64 (*.f64 0 b) 2))) (pow.f64 a 4)) (/.f64 (*.f64 0 b) (/.f64 (pow.f64 a 3) (PI.f64)))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) (fma.f64 b b 0))) (*.f64 (/.f64 0 (pow.f64 a 3)) (PI.f64)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) (*.f64 b b))) 0)) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (+.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64)))) (*.f64 (+.f64 b (*.f64 -1 b)) (*.f64 (pow.f64 b 2) (PI.f64)))) (pow.f64 a 5))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (*.f64 (pow.f64 (+.f64 b (*.f64 -1 b)) 2) (PI.f64))) (pow.f64 a 4))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 b (*.f64 -1 b)) (PI.f64)) (pow.f64 a 3)))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 -1/2 (+.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 b b) (pow.f64 (*.f64 0 b) 2))) (pow.f64 a 4)) (/.f64 (*.f64 0 b) (/.f64 (pow.f64 a 3) (PI.f64)))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) (fma.f64 b b 0))) (*.f64 (/.f64 0 (pow.f64 a 3)) (PI.f64)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) (*.f64 b b))) 0)) |
(/.f64 1 a) |
(/.f64 -1 b) |
(/.f64 -1 b) |
(/.f64 -1 b) |
(/.f64 1 a) |
(/.f64 1 a) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 1/2 (*.f64 a (*.f64 b b))) |
| ✓ | 0.2b | (*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 b b)))) |
| ✓ | 9.6b | (*.f64 a (*.f64 b b)) |
Compiled 30 to 11 computations (63.3% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | -inf | (/.f64 1/2 (*.f64 a (*.f64 b b))) |
| 1.0ms | a | @ | 0 | (*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 b b)))) |
| 1.0ms | a | @ | inf | (/.f64 1/2 (*.f64 a (*.f64 b b))) |
| 1.0ms | a | @ | 0 | (*.f64 a (*.f64 b b)) |
| 1.0ms | b | @ | 0 | (*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 b b)))) |
| 1× | batch-egg-rewrite |
| 944× | pow1_binary64 |
| 875× | add-log-exp_binary64 |
| 875× | log1p-expm1-u_binary64 |
| 875× | expm1-log1p-u_binary64 |
| 856× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 31 |
| 1 | 191 | 31 |
| 2 | 2419 | 31 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 a (*.f64 b b)) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 b b)))) |
(/.f64 1/2 (*.f64 a (*.f64 b b))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 a (*.f64 b b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 b b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (*.f64 b b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (sqrt.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 a a) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 b b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (*.f64 b b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 b b) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (*.f64 b b)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a b)) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (*.f64 (*.f64 a (*.f64 b b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 a (*.f64 b b)) (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) 1/2) (*.f64 a (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (PI.f64) 1/2)) (*.f64 a (neg.f64 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) 1/2) a) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) 1/2) 1) (*.f64 a (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (*.f64 a (*.f64 b b))) 2)) (cbrt.f64 (*.f64 a (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (sqrt.f64 a))) (*.f64 b (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 a b)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (PI.f64)) (*.f64 a (neg.f64 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) -1/2) (*.f64 a (neg.f64 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (/.f64 1/2 a)) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a b)) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a b)) b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a b)) b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 b (sqrt.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a b)) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 (/.f64 1/2 (*.f64 a b)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a b)) b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 (/.f64 1/2 (*.f64 a b)) b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1/2 (*.f64 a b)) b) 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a b)) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a b)) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a b)) b)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (/.f64 1/2 (*.f64 a b)) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (/.f64 1 (*.f64 b b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (*.f64 a b)) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 1/2 (*.f64 a b)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 1/2 (*.f64 a b)) b)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1/2 (*.f64 a b)) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1/2 (*.f64 a b)) b)) 2) (cbrt.f64 (/.f64 (/.f64 1/2 (*.f64 a b)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 1/2 a)) b) (/.f64 (sqrt.f64 (/.f64 1/2 a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (*.f64 a (neg.f64 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (*.f64 b b)) a) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (/.f64 1 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1/2 (*.f64 a b)) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 1/2 (*.f64 a b)) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 1/2 (*.f64 a b)) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 1/2 a)) b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 a (*.f64 b b)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (*.f64 (*.f64 a a) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 1/2 (*.f64 a b)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 1/2 (*.f64 a b)) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 1/2 (*.f64 a b)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 1/2 (*.f64 a b)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 1/2 (*.f64 a b)) b))))))) |
| 1× | egg-herbie |
| 1218× | associate-/r/_binary64 |
| 1203× | associate-*l/_binary64 |
| 520× | associate-*r/_binary64 |
| 516× | *-commutative_binary64 |
| 440× | sqr-pow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 744 |
| 1 | 24 | 744 |
| 2 | 56 | 744 |
| 3 | 150 | 744 |
| 4 | 457 | 744 |
| 5 | 1818 | 744 |
| 6 | 3484 | 744 |
| 7 | 3898 | 744 |
| 8 | 4012 | 744 |
| 9 | 4161 | 744 |
| 10 | 4339 | 744 |
| 11 | 4590 | 744 |
| 12 | 5950 | 744 |
| 13 | 6651 | 744 |
| 14 | 7372 | 744 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
| Outputs |
|---|
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (*.f64 b b)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (*.f64 b b)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (*.f64 b b)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (*.f64 b b)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (*.f64 b b)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (*.f64 b b)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (*.f64 b b)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (*.f64 b b)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (*.f64 b b)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (*.f64 b b)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (*.f64 b b)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (*.f64 b b)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (*.f64 b b)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (*.f64 b b)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (*.f64 b b)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (*.f64 b b)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (*.f64 b b)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (*.f64 b b)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (*.f64 b b)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (*.f64 b b)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (*.f64 b b)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (*.f64 b b)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (*.f64 b b)) |
(*.f64 a (pow.f64 b 2)) |
(*.f64 a (*.f64 b b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b)) |
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64))))) |
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b)) |
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64))))) |
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b)) |
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64))))) |
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b)) |
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64))))) |
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b)) |
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64))))) |
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b)) |
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64))))) |
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b)) |
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64))))) |
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b)) |
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64))))) |
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b)) |
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64))))) |
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b)) |
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64))))) |
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b)) |
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64))))) |
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b)) |
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64))))) |
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b)) |
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64))))) |
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b)) |
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64))))) |
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b)) |
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64))))) |
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b)) |
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64))))) |
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b)) |
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64))))) |
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b)) |
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64))))) |
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b)) |
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64))))) |
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b)) |
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64))))) |
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b)) |
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64))))) |
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b)) |
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64))))) |
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b)) |
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64))))) |
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 1/2 b)) |
(/.f64 1/2 (*.f64 b (*.f64 b (/.f64 a (PI.f64))))) |
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b)) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (*.f64 b b))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (*.f64 b b))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (*.f64 b b))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (*.f64 b b))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (*.f64 b b))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (*.f64 b b))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (*.f64 b b))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (*.f64 b b))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (*.f64 b b))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (*.f64 b b))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (*.f64 b b))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (*.f64 b b))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (*.f64 b b))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (*.f64 b b))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (*.f64 b b))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (*.f64 b b))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (*.f64 b b))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (*.f64 b b))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (*.f64 b b))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (*.f64 b b))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (*.f64 b b))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (*.f64 b b))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (*.f64 b b))) |
(/.f64 1/2 (*.f64 a (pow.f64 b 2))) |
(/.f64 1/2 (*.f64 a (*.f64 b b))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) |
| ✓ | 0.8b | (/.f64 (PI.f64) (*.f64 a a)) |
| ✓ | 5.7b | (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
Compiled 41 to 22 computations (46.3% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | b | @ | -inf | (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
| 1.0ms | a | @ | 0 | (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
| 1.0ms | b | @ | 0 | (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
| 1.0ms | a | @ | -inf | (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
| 1.0ms | a | @ | inf | (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
| 1× | batch-egg-rewrite |
| 711× | log-prod_binary64 |
| 372× | log-div_binary64 |
| 370× | fma-def_binary64 |
| 250× | expm1-udef_binary64 |
| 250× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 38 |
| 1 | 282 | 38 |
| 2 | 4447 | 38 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
(/.f64 (PI.f64) (*.f64 a a)) |
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 a -2)) (/.f64 1/2 b)) (/.f64 (*.f64 (PI.f64) -1/2) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (PI.f64) -1/2) (pow.f64 a 3)) (*.f64 (*.f64 (PI.f64) (pow.f64 a -2)) (/.f64 1/2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (PI.f64) (pow.f64 a -2)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 a -2)) (/.f64 1/2 b)) 1) (*.f64 (/.f64 (*.f64 (PI.f64) -1/2) (pow.f64 a 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (pow.f64 a -2)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (pow.f64 a -2)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (pow.f64 a -2)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (pow.f64 a -2)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (pow.f64 a -2)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 a -2)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (/.f64 (*.f64 a a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) (/.f64 a (/.f64 (PI.f64) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 a a) (*.f64 (PI.f64) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a 1/2 (*.f64 b -1/2)) (*.f64 (/.f64 a (/.f64 (PI.f64) a)) (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1/8 (pow.f64 b 3)) (pow.f64 (/.f64 -1/2 a) 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 1 b) (/.f64 -1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 1 (neg.f64 a)) (/.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 b) 1 (/.f64 -1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 1 a) (/.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 1 (neg.f64 b)) (/.f64 -1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 a) 1 (/.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1/2 b) (/.f64 -1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1/2 a) (/.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/2 b)) (cbrt.f64 (/.f64 1/4 (*.f64 b b))) (/.f64 -1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/4 (*.f64 b b))) (cbrt.f64 (/.f64 1/2 b)) (/.f64 -1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -1/2 a)) (pow.f64 (cbrt.f64 (/.f64 -1/2 a)) 2) (/.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 a)) 2) (cbrt.f64 (/.f64 -1/2 a)) (/.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/2 b)) (sqrt.f64 (/.f64 1/2 b)) (/.f64 -1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1/2 a)) (sqrt.f64 (/.f64 -1/2 a)) (/.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 a) -1/2 (/.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 b) 1/2 (/.f64 -1/2 a)))))) |
| 1× | egg-herbie |
| 809× | fma-def_binary64 |
| 701× | associate-/r*_binary64 |
| 643× | associate-/l*_binary64 |
| 522× | associate-*l/_binary64 |
| 515× | associate-/l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 825 |
| 1 | 60 | 825 |
| 2 | 132 | 735 |
| 3 | 341 | 735 |
| 4 | 1331 | 735 |
| 5 | 6919 | 735 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 1/2 b) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(/.f64 -1/2 a) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(/.f64 -1/2 a) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(/.f64 -1/2 a) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(/.f64 1/2 b) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(/.f64 1/2 b) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
| Outputs |
|---|
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 (/.f64 1/2 (*.f64 a a)) (/.f64 (PI.f64) b)) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 (/.f64 1/2 (*.f64 a a)) (/.f64 (PI.f64) b)) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 (/.f64 1/2 (*.f64 a a)) (/.f64 (PI.f64) b)) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (*.f64 a a)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (*.f64 a a)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (*.f64 a a)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (*.f64 a a)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (*.f64 a a)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (*.f64 a a)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (*.f64 a a)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (*.f64 a a)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (*.f64 a a)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (*.f64 a a)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (*.f64 a a)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (*.f64 a a)) |
(/.f64 1/2 b) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a)) |
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a)) |
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a)) |
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) |
(/.f64 -1/2 a) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a)) |
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a)) |
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a)) |
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) |
(/.f64 -1/2 a) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a)) |
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a)) |
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a)) |
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) |
(/.f64 -1/2 a) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a)) |
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a)) |
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a)) |
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) |
(/.f64 1/2 b) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a)) |
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a)) |
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a)) |
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) |
(/.f64 1/2 b) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a)) |
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a)) |
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) |
(-.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (/.f64 1 a))) |
(-.f64 (/.f64 1/2 b) (/.f64 1/2 a)) |
(+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 1 a) (/.f64 -1 b)) |
| ✓ | 0.2b | (*.f64 (PI.f64) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (*.f64 b b) (*.f64 a a)))) |
| 4.2b | (-.f64 (*.f64 b b) (*.f64 a a)) | |
| ✓ | 10.3b | (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (*.f64 b b) (*.f64 a a))) |
Compiled 85 to 40 computations (52.9% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | inf | (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (*.f64 b b) (*.f64 a a))) |
| 1.0ms | a | @ | 0 | (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (*.f64 b b) (*.f64 a a))) |
| 1.0ms | b | @ | -inf | (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (*.f64 b b) (*.f64 a a))) |
| 1.0ms | b | @ | 0 | (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (*.f64 b b) (*.f64 a a))) |
| 0.0ms | a | @ | inf | (*.f64 (PI.f64) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (*.f64 b b) (*.f64 a a)))) |
| 1× | batch-egg-rewrite |
| 781× | log-prod_binary64 |
| 684× | fma-def_binary64 |
| 302× | fma-neg_binary64 |
| 273× | expm1-udef_binary64 |
| 273× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 58 |
| 1 | 318 | 37 |
| 2 | 4822 | 37 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (*.f64 b b) (*.f64 a a))) |
(*.f64 (PI.f64) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(+.f64 (/.f64 1 a) (/.f64 -1 b)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (*.f64 (+.f64 a b) (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (*.f64 (+.f64 a b) (*.f64 a b))))) (cbrt.f64 (exp.f64 (/.f64 1 (*.f64 (+.f64 a b) (*.f64 a b))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (*.f64 (+.f64 a b) (*.f64 a b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (*.f64 (+.f64 a b) (*.f64 a b)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (*.f64 (+.f64 a b) (*.f64 a b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (+.f64 a b) (*.f64 a b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 (+.f64 a b) (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 a b) (*.f64 a b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 a b) (*.f64 a b)))) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 a b) (*.f64 a b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 a b) (*.f64 a b)))) 2) (/.f64 1 (cbrt.f64 (*.f64 (+.f64 a b) (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (sqrt.f64 (/.f64 -1 b)) (pow.f64 a -1/2)) (*.f64 (hypot.f64 (sqrt.f64 (/.f64 -1 b)) (pow.f64 a -1/2)) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a b) (*.f64 a b)))) (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a b) (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (-.f64 b a)) (*.f64 a b)) (/.f64 1 (*.f64 (+.f64 a b) (neg.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a))) (+.f64 (/.f64 1 a) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (-.f64 (*.f64 b b) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 (sqrt.f64 (/.f64 -1 b)) (pow.f64 a -1/2)) 1) (/.f64 (hypot.f64 (sqrt.f64 (/.f64 -1 b)) (pow.f64 a -1/2)) (-.f64 (*.f64 b b) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b b) (*.f64 a a))) 2)) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (cbrt.f64 (-.f64 (*.f64 b b) (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b b) (*.f64 a a))) 2)) (/.f64 1 (cbrt.f64 (*.f64 (+.f64 a b) (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 (sqrt.f64 (/.f64 -1 b)) (pow.f64 a -1/2)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b b) (*.f64 a a))) 2)) (/.f64 (hypot.f64 (sqrt.f64 (/.f64 -1 b)) (pow.f64 a -1/2)) (cbrt.f64 (-.f64 (*.f64 b b) (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 a (neg.f64 a))))) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (hypot.f64 b (sqrt.f64 (*.f64 a (neg.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2) (hypot.f64 b (sqrt.f64 (*.f64 a (neg.f64 a))))) (/.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (hypot.f64 b (sqrt.f64 (*.f64 a (neg.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 a b)) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2) (+.f64 a b)) (/.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 (sqrt.f64 (/.f64 -1 b)) (pow.f64 a -1/2)) (+.f64 a b)) (/.f64 (hypot.f64 (sqrt.f64 (/.f64 -1 b)) (pow.f64 a -1/2)) (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (pow.f64 b 6) (pow.f64 a 6))) (fma.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a)) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (pow.f64 b 4) (pow.f64 a 4))) (fma.f64 b b (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (+.f64 a b) (*.f64 a b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 a b) (*.f64 a b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 a b) (*.f64 a b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a b) (*.f64 a b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a b) (*.f64 a b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (*.f64 (+.f64 a b) (neg.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 a b) (*.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (*.f64 (+.f64 a b) (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 (+.f64 a b) (*.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 a b) (*.f64 a b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) 3) (pow.f64 (-.f64 (*.f64 b b) (*.f64 a a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (+.f64 a b) (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (+.f64 a b) (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 (+.f64 a b) (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (+.f64 a b) (*.f64 a b)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b))))) (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 a b)) (-.f64 (*.f64 b b) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 a b))) (*.f64 (+.f64 a b) (neg.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 a b)) 1) (-.f64 (*.f64 b b) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 a b)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b b) (*.f64 a a))) 2)) (cbrt.f64 (-.f64 (*.f64 b b) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 a b)) (hypot.f64 b (sqrt.f64 (*.f64 a (neg.f64 a))))) (hypot.f64 b (sqrt.f64 (*.f64 a (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 a b)) (+.f64 a b)) (-.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (neg.f64 (-.f64 b a)) (*.f64 a b)) (PI.f64)) (*.f64 (+.f64 a b) (neg.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (/.f64 (neg.f64 (-.f64 b a)) (*.f64 a b))) (*.f64 (+.f64 a b) (neg.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 a b) (*.f64 a b))) 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 1 (*.f64 (+.f64 a b) (*.f64 a b))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 a -2) (-.f64 (/.f64 1 a) (/.f64 -1 b))) (/.f64 (pow.f64 (/.f64 -1 b) 2) (-.f64 (/.f64 1 a) (/.f64 -1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 a) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))) 2) (cbrt.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (sqrt.f64 (/.f64 -1 b)) (pow.f64 a -1/2)) (hypot.f64 (sqrt.f64 (/.f64 -1 b)) (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 a -3) (/.f64 -1 (pow.f64 b 3))) 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a) (/.f64 -1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 b) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 a) 1 (/.f64 -1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 b) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 a)) (/.f64 -1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 b) 1 (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -1 b)) (pow.f64 (cbrt.f64 (/.f64 -1 b)) 2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 b)) 2) (cbrt.f64 (/.f64 -1 b)) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 (pow.f64 a -2)) (/.f64 -1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 a -2)) (cbrt.f64 (/.f64 1 a)) (/.f64 -1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 b)) (sqrt.f64 (/.f64 -1 b)) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a -1/2) (pow.f64 a -1/2) (/.f64 -1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 b) -1 (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 a) 2) -1) (pow.f64 (cbrt.f64 a) -1) (/.f64 -1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 a) -1) (pow.f64 (sqrt.f64 a) -1) (/.f64 -1 b)))))) |
| 1× | egg-herbie |
| 755× | associate-/r*_binary64 |
| 739× | associate-/l*_binary64 |
| 726× | fma-def_binary64 |
| 352× | associate-*r*_binary64 |
| 352× | associate-*l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 1518 |
| 1 | 198 | 1482 |
| 2 | 535 | 1446 |
| 3 | 1953 | 1410 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(-.f64 (/.f64 1 (*.f64 a (pow.f64 b 2))) (/.f64 1 (pow.f64 b 3))) |
(-.f64 (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (*.f64 a (pow.f64 b 2)))) (/.f64 1 (pow.f64 b 3))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 5))) (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (*.f64 a (pow.f64 b 2))))) (/.f64 1 (pow.f64 b 3))) |
(/.f64 1 (*.f64 (pow.f64 a 2) b)) |
(-.f64 (/.f64 1 (*.f64 (pow.f64 a 2) b)) (/.f64 1 (pow.f64 a 3))) |
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 1 (*.f64 (pow.f64 a 2) b))) (/.f64 1 (pow.f64 a 3))) |
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (+.f64 (/.f64 1 (*.f64 (pow.f64 a 2) b)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 5))))) (/.f64 1 (pow.f64 a 3))) |
(/.f64 1 (*.f64 (pow.f64 a 2) b)) |
(-.f64 (/.f64 1 (*.f64 (pow.f64 a 2) b)) (/.f64 1 (pow.f64 a 3))) |
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 1 (*.f64 (pow.f64 a 2) b))) (/.f64 1 (pow.f64 a 3))) |
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (+.f64 (/.f64 1 (*.f64 (pow.f64 a 2) b)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 5))))) (/.f64 1 (pow.f64 a 3))) |
(/.f64 1 (*.f64 (pow.f64 a 2) b)) |
(-.f64 (/.f64 1 (*.f64 (pow.f64 a 2) b)) (/.f64 1 (pow.f64 a 3))) |
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 1 (*.f64 (pow.f64 a 2) b))) (/.f64 1 (pow.f64 a 3))) |
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (+.f64 (/.f64 1 (*.f64 (pow.f64 a 2) b)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 5))))) (/.f64 1 (pow.f64 a 3))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(-.f64 (/.f64 1 (*.f64 a (pow.f64 b 2))) (/.f64 1 (pow.f64 b 3))) |
(-.f64 (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (*.f64 a (pow.f64 b 2)))) (/.f64 1 (pow.f64 b 3))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 5))) (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (*.f64 a (pow.f64 b 2))))) (/.f64 1 (pow.f64 b 3))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(-.f64 (/.f64 1 (*.f64 a (pow.f64 b 2))) (/.f64 1 (pow.f64 b 3))) |
(-.f64 (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (*.f64 a (pow.f64 b 2)))) (/.f64 1 (pow.f64 b 3))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 5))) (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (*.f64 a (pow.f64 b 2))))) (/.f64 1 (pow.f64 b 3))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3)))) |
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4)))) |
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))))) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))) |
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))) |
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))) |
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3)))) |
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4)))) |
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3)))) |
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4)))) |
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))))) |
(/.f64 1 a) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(/.f64 -1 b) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(/.f64 -1 b) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(/.f64 -1 b) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(/.f64 1 a) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(/.f64 1 a) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
| Outputs |
|---|
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 1 (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 1 (*.f64 b b)) a) |
(/.f64 (/.f64 1 b) (*.f64 a b)) |
(-.f64 (/.f64 1 (*.f64 a (pow.f64 b 2))) (/.f64 1 (pow.f64 b 3))) |
(-.f64 (/.f64 1 (*.f64 a (*.f64 b b))) (/.f64 1 (pow.f64 b 3))) |
(+.f64 (/.f64 (/.f64 1 (*.f64 b b)) a) (/.f64 -1 (pow.f64 b 3))) |
(+.f64 (/.f64 (/.f64 1 b) (*.f64 a b)) (/.f64 -1 (pow.f64 b 3))) |
(-.f64 (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (*.f64 a (pow.f64 b 2)))) (/.f64 1 (pow.f64 b 3))) |
(+.f64 (/.f64 a (pow.f64 b 4)) (-.f64 (/.f64 1 (*.f64 a (*.f64 b b))) (/.f64 1 (pow.f64 b 3)))) |
(+.f64 (/.f64 (/.f64 1 (*.f64 b b)) a) (-.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (pow.f64 b 3)))) |
(+.f64 (/.f64 (/.f64 1 b) (*.f64 a b)) (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 -1 (pow.f64 b 3)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 5))) (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (*.f64 a (pow.f64 b 2))))) (/.f64 1 (pow.f64 b 3))) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 a a) (pow.f64 b 5)) (+.f64 (/.f64 1 (*.f64 a (*.f64 b b))) (/.f64 a (pow.f64 b 4)))) (/.f64 1 (pow.f64 b 3))) |
(+.f64 (-.f64 (+.f64 (/.f64 (/.f64 1 (*.f64 b b)) a) (/.f64 a (pow.f64 b 4))) (/.f64 a (/.f64 (pow.f64 b 5) a))) (/.f64 -1 (pow.f64 b 3))) |
(+.f64 (/.f64 (/.f64 1 b) (*.f64 a b)) (-.f64 (-.f64 (/.f64 a (pow.f64 b 4)) (*.f64 (/.f64 a (pow.f64 b 5)) a)) (/.f64 1 (pow.f64 b 3)))) |
(-.f64 (+.f64 (/.f64 (/.f64 1 b) (*.f64 a b)) (/.f64 a (pow.f64 b 4))) (fma.f64 (/.f64 a (pow.f64 b 5)) a (/.f64 1 (pow.f64 b 3)))) |
(/.f64 1 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1 (*.f64 b (*.f64 a a))) |
(/.f64 1 (*.f64 a (*.f64 a b))) |
(-.f64 (/.f64 1 (*.f64 (pow.f64 a 2) b)) (/.f64 1 (pow.f64 a 3))) |
(-.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (/.f64 1 (pow.f64 a 3))) |
(+.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (/.f64 -1 (pow.f64 a 3))) |
(+.f64 (/.f64 1 (*.f64 a (*.f64 a b))) (/.f64 -1 (pow.f64 a 3))) |
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 1 (*.f64 (pow.f64 a 2) b))) (/.f64 1 (pow.f64 a 3))) |
(+.f64 (/.f64 b (pow.f64 a 4)) (-.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (/.f64 1 (pow.f64 a 3)))) |
(+.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (-.f64 (/.f64 b (pow.f64 a 4)) (/.f64 1 (pow.f64 a 3)))) |
(+.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 -1 (pow.f64 a 3)))) |
(+.f64 (/.f64 1 (*.f64 a (*.f64 a b))) (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 -1 (pow.f64 a 3)))) |
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (+.f64 (/.f64 1 (*.f64 (pow.f64 a 2) b)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 5))))) (/.f64 1 (pow.f64 a 3))) |
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (+.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (neg.f64 (/.f64 (*.f64 b b) (pow.f64 a 5))))) (/.f64 1 (pow.f64 a 3))) |
(+.f64 (-.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (/.f64 b (/.f64 (pow.f64 a 5) b))) (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 -1 (pow.f64 a 3)))) |
(+.f64 (/.f64 b (pow.f64 a 4)) (+.f64 (-.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (*.f64 (/.f64 b (pow.f64 a 5)) b)) (/.f64 -1 (pow.f64 a 3)))) |
(+.f64 (/.f64 1 (*.f64 a (*.f64 a b))) (-.f64 (/.f64 b (pow.f64 a 4)) (fma.f64 (/.f64 b (pow.f64 a 5)) b (/.f64 1 (pow.f64 a 3))))) |
(/.f64 1 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1 (*.f64 b (*.f64 a a))) |
(/.f64 1 (*.f64 a (*.f64 a b))) |
(-.f64 (/.f64 1 (*.f64 (pow.f64 a 2) b)) (/.f64 1 (pow.f64 a 3))) |
(-.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (/.f64 1 (pow.f64 a 3))) |
(+.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (/.f64 -1 (pow.f64 a 3))) |
(+.f64 (/.f64 1 (*.f64 a (*.f64 a b))) (/.f64 -1 (pow.f64 a 3))) |
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 1 (*.f64 (pow.f64 a 2) b))) (/.f64 1 (pow.f64 a 3))) |
(+.f64 (/.f64 b (pow.f64 a 4)) (-.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (/.f64 1 (pow.f64 a 3)))) |
(+.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (-.f64 (/.f64 b (pow.f64 a 4)) (/.f64 1 (pow.f64 a 3)))) |
(+.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 -1 (pow.f64 a 3)))) |
(+.f64 (/.f64 1 (*.f64 a (*.f64 a b))) (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 -1 (pow.f64 a 3)))) |
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (+.f64 (/.f64 1 (*.f64 (pow.f64 a 2) b)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 5))))) (/.f64 1 (pow.f64 a 3))) |
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (+.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (neg.f64 (/.f64 (*.f64 b b) (pow.f64 a 5))))) (/.f64 1 (pow.f64 a 3))) |
(+.f64 (-.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (/.f64 b (/.f64 (pow.f64 a 5) b))) (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 -1 (pow.f64 a 3)))) |
(+.f64 (/.f64 b (pow.f64 a 4)) (+.f64 (-.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (*.f64 (/.f64 b (pow.f64 a 5)) b)) (/.f64 -1 (pow.f64 a 3)))) |
(+.f64 (/.f64 1 (*.f64 a (*.f64 a b))) (-.f64 (/.f64 b (pow.f64 a 4)) (fma.f64 (/.f64 b (pow.f64 a 5)) b (/.f64 1 (pow.f64 a 3))))) |
(/.f64 1 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1 (*.f64 b (*.f64 a a))) |
(/.f64 1 (*.f64 a (*.f64 a b))) |
(-.f64 (/.f64 1 (*.f64 (pow.f64 a 2) b)) (/.f64 1 (pow.f64 a 3))) |
(-.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (/.f64 1 (pow.f64 a 3))) |
(+.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (/.f64 -1 (pow.f64 a 3))) |
(+.f64 (/.f64 1 (*.f64 a (*.f64 a b))) (/.f64 -1 (pow.f64 a 3))) |
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 1 (*.f64 (pow.f64 a 2) b))) (/.f64 1 (pow.f64 a 3))) |
(+.f64 (/.f64 b (pow.f64 a 4)) (-.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (/.f64 1 (pow.f64 a 3)))) |
(+.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (-.f64 (/.f64 b (pow.f64 a 4)) (/.f64 1 (pow.f64 a 3)))) |
(+.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 -1 (pow.f64 a 3)))) |
(+.f64 (/.f64 1 (*.f64 a (*.f64 a b))) (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 -1 (pow.f64 a 3)))) |
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (+.f64 (/.f64 1 (*.f64 (pow.f64 a 2) b)) (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 5))))) (/.f64 1 (pow.f64 a 3))) |
(-.f64 (+.f64 (/.f64 b (pow.f64 a 4)) (+.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (neg.f64 (/.f64 (*.f64 b b) (pow.f64 a 5))))) (/.f64 1 (pow.f64 a 3))) |
(+.f64 (-.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (/.f64 b (/.f64 (pow.f64 a 5) b))) (+.f64 (/.f64 b (pow.f64 a 4)) (/.f64 -1 (pow.f64 a 3)))) |
(+.f64 (/.f64 b (pow.f64 a 4)) (+.f64 (-.f64 (/.f64 1 (*.f64 b (*.f64 a a))) (*.f64 (/.f64 b (pow.f64 a 5)) b)) (/.f64 -1 (pow.f64 a 3)))) |
(+.f64 (/.f64 1 (*.f64 a (*.f64 a b))) (-.f64 (/.f64 b (pow.f64 a 4)) (fma.f64 (/.f64 b (pow.f64 a 5)) b (/.f64 1 (pow.f64 a 3))))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 1 (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 1 (*.f64 b b)) a) |
(/.f64 (/.f64 1 b) (*.f64 a b)) |
(-.f64 (/.f64 1 (*.f64 a (pow.f64 b 2))) (/.f64 1 (pow.f64 b 3))) |
(-.f64 (/.f64 1 (*.f64 a (*.f64 b b))) (/.f64 1 (pow.f64 b 3))) |
(+.f64 (/.f64 (/.f64 1 (*.f64 b b)) a) (/.f64 -1 (pow.f64 b 3))) |
(+.f64 (/.f64 (/.f64 1 b) (*.f64 a b)) (/.f64 -1 (pow.f64 b 3))) |
(-.f64 (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (*.f64 a (pow.f64 b 2)))) (/.f64 1 (pow.f64 b 3))) |
(+.f64 (/.f64 a (pow.f64 b 4)) (-.f64 (/.f64 1 (*.f64 a (*.f64 b b))) (/.f64 1 (pow.f64 b 3)))) |
(+.f64 (/.f64 (/.f64 1 (*.f64 b b)) a) (-.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (pow.f64 b 3)))) |
(+.f64 (/.f64 (/.f64 1 b) (*.f64 a b)) (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 -1 (pow.f64 b 3)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 5))) (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (*.f64 a (pow.f64 b 2))))) (/.f64 1 (pow.f64 b 3))) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 a a) (pow.f64 b 5)) (+.f64 (/.f64 1 (*.f64 a (*.f64 b b))) (/.f64 a (pow.f64 b 4)))) (/.f64 1 (pow.f64 b 3))) |
(+.f64 (-.f64 (+.f64 (/.f64 (/.f64 1 (*.f64 b b)) a) (/.f64 a (pow.f64 b 4))) (/.f64 a (/.f64 (pow.f64 b 5) a))) (/.f64 -1 (pow.f64 b 3))) |
(+.f64 (/.f64 (/.f64 1 b) (*.f64 a b)) (-.f64 (-.f64 (/.f64 a (pow.f64 b 4)) (*.f64 (/.f64 a (pow.f64 b 5)) a)) (/.f64 1 (pow.f64 b 3)))) |
(-.f64 (+.f64 (/.f64 (/.f64 1 b) (*.f64 a b)) (/.f64 a (pow.f64 b 4))) (fma.f64 (/.f64 a (pow.f64 b 5)) a (/.f64 1 (pow.f64 b 3)))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 1 (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 1 (*.f64 b b)) a) |
(/.f64 (/.f64 1 b) (*.f64 a b)) |
(-.f64 (/.f64 1 (*.f64 a (pow.f64 b 2))) (/.f64 1 (pow.f64 b 3))) |
(-.f64 (/.f64 1 (*.f64 a (*.f64 b b))) (/.f64 1 (pow.f64 b 3))) |
(+.f64 (/.f64 (/.f64 1 (*.f64 b b)) a) (/.f64 -1 (pow.f64 b 3))) |
(+.f64 (/.f64 (/.f64 1 b) (*.f64 a b)) (/.f64 -1 (pow.f64 b 3))) |
(-.f64 (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (*.f64 a (pow.f64 b 2)))) (/.f64 1 (pow.f64 b 3))) |
(+.f64 (/.f64 a (pow.f64 b 4)) (-.f64 (/.f64 1 (*.f64 a (*.f64 b b))) (/.f64 1 (pow.f64 b 3)))) |
(+.f64 (/.f64 (/.f64 1 (*.f64 b b)) a) (-.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (pow.f64 b 3)))) |
(+.f64 (/.f64 (/.f64 1 b) (*.f64 a b)) (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 -1 (pow.f64 b 3)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 5))) (+.f64 (/.f64 a (pow.f64 b 4)) (/.f64 1 (*.f64 a (pow.f64 b 2))))) (/.f64 1 (pow.f64 b 3))) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 a a) (pow.f64 b 5)) (+.f64 (/.f64 1 (*.f64 a (*.f64 b b))) (/.f64 a (pow.f64 b 4)))) (/.f64 1 (pow.f64 b 3))) |
(+.f64 (-.f64 (+.f64 (/.f64 (/.f64 1 (*.f64 b b)) a) (/.f64 a (pow.f64 b 4))) (/.f64 a (/.f64 (pow.f64 b 5) a))) (/.f64 -1 (pow.f64 b 3))) |
(+.f64 (/.f64 (/.f64 1 b) (*.f64 a b)) (-.f64 (-.f64 (/.f64 a (pow.f64 b 4)) (*.f64 (/.f64 a (pow.f64 b 5)) a)) (/.f64 1 (pow.f64 b 3)))) |
(-.f64 (+.f64 (/.f64 (/.f64 1 b) (*.f64 a b)) (/.f64 a (pow.f64 b 4))) (fma.f64 (/.f64 a (pow.f64 b 5)) a (/.f64 1 (pow.f64 b 3)))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) |
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3)))) |
(+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))) (neg.f64 (/.f64 (PI.f64) (pow.f64 b 3)))) |
(-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) (/.f64 (PI.f64) (pow.f64 b 3))) |
(-.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) (/.f64 (PI.f64) (pow.f64 b 3))) |
(-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) (/.f64 (PI.f64) (pow.f64 b 3))) |
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4)))) |
(+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))) (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3)) (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))))) |
(+.f64 (-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a))) |
(-.f64 (fma.f64 (/.f64 a (pow.f64 b 4)) (PI.f64) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) (/.f64 (PI.f64) (pow.f64 b 3))) |
(+.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) (*.f64 (/.f64 (PI.f64) (pow.f64 b 3)) (+.f64 -1 (/.f64 a b)))) |
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))))) |
(+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))) (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3)) (fma.f64 -1 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (PI.f64))) (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64)))))) |
(+.f64 (-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) (/.f64 (PI.f64) (pow.f64 b 3))) (-.f64 (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 5) (*.f64 a a))))) |
(+.f64 (-.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 (PI.f64) (-.f64 (/.f64 a (pow.f64 b 4)) (*.f64 (/.f64 a (pow.f64 b 5)) a)))) |
(-.f64 (fma.f64 (PI.f64) (-.f64 (/.f64 a (pow.f64 b 4)) (*.f64 (/.f64 a (pow.f64 b 5)) a)) (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a)) (/.f64 (PI.f64) (pow.f64 b 3))) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 b (*.f64 a a))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) |
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(fma.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (PI.f64) (*.f64 b (*.f64 a a)))) |
(-.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (/.f64 (PI.f64) (pow.f64 a 3))) |
(-.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) (/.f64 (PI.f64) (pow.f64 a 3))) |
(-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) (/.f64 (PI.f64) (pow.f64 a 3))) |
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))) |
(+.f64 (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (PI.f64) (*.f64 b (*.f64 a a)))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64)))) |
(+.f64 (-.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))) |
(-.f64 (fma.f64 (/.f64 b (pow.f64 a 4)) (PI.f64) (/.f64 (PI.f64) (*.f64 b (*.f64 a a)))) (/.f64 (PI.f64) (pow.f64 a 3))) |
(+.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) (*.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (+.f64 -1 (/.f64 b a)))) |
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))) |
(+.f64 (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (PI.f64) (*.f64 b (*.f64 a a)))) (fma.f64 -1 (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 5) (PI.f64))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))))) |
(+.f64 (-.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (/.f64 (PI.f64) (pow.f64 a 3))) (-.f64 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)) (/.f64 b (/.f64 (/.f64 (pow.f64 a 5) (PI.f64)) b)))) |
(+.f64 (-.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 (PI.f64) (-.f64 (/.f64 b (pow.f64 a 4)) (*.f64 (/.f64 b (pow.f64 a 5)) b)))) |
(fma.f64 (PI.f64) (-.f64 (/.f64 b (pow.f64 a 4)) (*.f64 (/.f64 b (pow.f64 a 5)) b)) (-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) (/.f64 (PI.f64) (pow.f64 a 3)))) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 b (*.f64 a a))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) |
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(fma.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (PI.f64) (*.f64 b (*.f64 a a)))) |
(-.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (/.f64 (PI.f64) (pow.f64 a 3))) |
(-.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) (/.f64 (PI.f64) (pow.f64 a 3))) |
(-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) (/.f64 (PI.f64) (pow.f64 a 3))) |
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))) |
(+.f64 (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (PI.f64) (*.f64 b (*.f64 a a)))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64)))) |
(+.f64 (-.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))) |
(-.f64 (fma.f64 (/.f64 b (pow.f64 a 4)) (PI.f64) (/.f64 (PI.f64) (*.f64 b (*.f64 a a)))) (/.f64 (PI.f64) (pow.f64 a 3))) |
(+.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) (*.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (+.f64 -1 (/.f64 b a)))) |
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))) |
(+.f64 (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (PI.f64) (*.f64 b (*.f64 a a)))) (fma.f64 -1 (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 5) (PI.f64))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))))) |
(+.f64 (-.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (/.f64 (PI.f64) (pow.f64 a 3))) (-.f64 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)) (/.f64 b (/.f64 (/.f64 (pow.f64 a 5) (PI.f64)) b)))) |
(+.f64 (-.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 (PI.f64) (-.f64 (/.f64 b (pow.f64 a 4)) (*.f64 (/.f64 b (pow.f64 a 5)) b)))) |
(fma.f64 (PI.f64) (-.f64 (/.f64 b (pow.f64 a 4)) (*.f64 (/.f64 b (pow.f64 a 5)) b)) (-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) (/.f64 (PI.f64) (pow.f64 a 3)))) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 b (*.f64 a a))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) |
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(fma.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (PI.f64) (*.f64 b (*.f64 a a)))) |
(-.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (/.f64 (PI.f64) (pow.f64 a 3))) |
(-.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) (/.f64 (PI.f64) (pow.f64 a 3))) |
(-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) (/.f64 (PI.f64) (pow.f64 a 3))) |
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))) |
(+.f64 (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (PI.f64) (*.f64 b (*.f64 a a)))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64)))) |
(+.f64 (-.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (/.f64 (PI.f64) (pow.f64 a 3))) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))) |
(-.f64 (fma.f64 (/.f64 b (pow.f64 a 4)) (PI.f64) (/.f64 (PI.f64) (*.f64 b (*.f64 a a)))) (/.f64 (PI.f64) (pow.f64 a 3))) |
(+.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) (*.f64 (/.f64 (PI.f64) (pow.f64 a 3)) (+.f64 -1 (/.f64 b a)))) |
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))) |
(+.f64 (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (PI.f64) (*.f64 b (*.f64 a a)))) (fma.f64 -1 (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 5) (PI.f64))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))))) |
(+.f64 (-.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) (/.f64 (PI.f64) (pow.f64 a 3))) (-.f64 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)) (/.f64 b (/.f64 (/.f64 (pow.f64 a 5) (PI.f64)) b)))) |
(+.f64 (-.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 (PI.f64) (-.f64 (/.f64 b (pow.f64 a 4)) (*.f64 (/.f64 b (pow.f64 a 5)) b)))) |
(fma.f64 (PI.f64) (-.f64 (/.f64 b (pow.f64 a 4)) (*.f64 (/.f64 b (pow.f64 a 5)) b)) (-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) (/.f64 (PI.f64) (pow.f64 a 3)))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) |
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3)))) |
(+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))) (neg.f64 (/.f64 (PI.f64) (pow.f64 b 3)))) |
(-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) (/.f64 (PI.f64) (pow.f64 b 3))) |
(-.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) (/.f64 (PI.f64) (pow.f64 b 3))) |
(-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) (/.f64 (PI.f64) (pow.f64 b 3))) |
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4)))) |
(+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))) (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3)) (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))))) |
(+.f64 (-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a))) |
(-.f64 (fma.f64 (/.f64 a (pow.f64 b 4)) (PI.f64) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) (/.f64 (PI.f64) (pow.f64 b 3))) |
(+.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) (*.f64 (/.f64 (PI.f64) (pow.f64 b 3)) (+.f64 -1 (/.f64 a b)))) |
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))))) |
(+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))) (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3)) (fma.f64 -1 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (PI.f64))) (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64)))))) |
(+.f64 (-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) (/.f64 (PI.f64) (pow.f64 b 3))) (-.f64 (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 5) (*.f64 a a))))) |
(+.f64 (-.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 (PI.f64) (-.f64 (/.f64 a (pow.f64 b 4)) (*.f64 (/.f64 a (pow.f64 b 5)) a)))) |
(-.f64 (fma.f64 (PI.f64) (-.f64 (/.f64 a (pow.f64 b 4)) (*.f64 (/.f64 a (pow.f64 b 5)) a)) (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a)) (/.f64 (PI.f64) (pow.f64 b 3))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) |
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3)))) |
(+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))) (neg.f64 (/.f64 (PI.f64) (pow.f64 b 3)))) |
(-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) (/.f64 (PI.f64) (pow.f64 b 3))) |
(-.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) (/.f64 (PI.f64) (pow.f64 b 3))) |
(-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) (/.f64 (PI.f64) (pow.f64 b 3))) |
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4)))) |
(+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))) (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3)) (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))))) |
(+.f64 (-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) (/.f64 (PI.f64) (pow.f64 b 3))) (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a))) |
(-.f64 (fma.f64 (/.f64 a (pow.f64 b 4)) (PI.f64) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) (/.f64 (PI.f64) (pow.f64 b 3))) |
(+.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) (*.f64 (/.f64 (PI.f64) (pow.f64 b 3)) (+.f64 -1 (/.f64 a b)))) |
(+.f64 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))))) |
(+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 b b))) (fma.f64 -1 (/.f64 (PI.f64) (pow.f64 b 3)) (fma.f64 -1 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (PI.f64))) (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64)))))) |
(+.f64 (-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) (/.f64 (PI.f64) (pow.f64 b 3))) (-.f64 (/.f64 (PI.f64) (/.f64 (pow.f64 b 4) a)) (/.f64 (PI.f64) (/.f64 (pow.f64 b 5) (*.f64 a a))))) |
(+.f64 (-.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 (PI.f64) (-.f64 (/.f64 a (pow.f64 b 4)) (*.f64 (/.f64 a (pow.f64 b 5)) a)))) |
(-.f64 (fma.f64 (PI.f64) (-.f64 (/.f64 a (pow.f64 b 4)) (*.f64 (/.f64 a (pow.f64 b 5)) a)) (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a)) (/.f64 (PI.f64) (pow.f64 b 3))) |
(/.f64 1 a) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(+.f64 (/.f64 1 a) (/.f64 -1 b)) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(+.f64 (/.f64 1 a) (/.f64 -1 b)) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(+.f64 (/.f64 1 a) (/.f64 -1 b)) |
(/.f64 -1 b) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(+.f64 (/.f64 1 a) (/.f64 -1 b)) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(+.f64 (/.f64 1 a) (/.f64 -1 b)) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(+.f64 (/.f64 1 a) (/.f64 -1 b)) |
(/.f64 -1 b) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(+.f64 (/.f64 1 a) (/.f64 -1 b)) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(+.f64 (/.f64 1 a) (/.f64 -1 b)) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(+.f64 (/.f64 1 a) (/.f64 -1 b)) |
(/.f64 -1 b) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(+.f64 (/.f64 1 a) (/.f64 -1 b)) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(+.f64 (/.f64 1 a) (/.f64 -1 b)) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(+.f64 (/.f64 1 a) (/.f64 -1 b)) |
(/.f64 1 a) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(+.f64 (/.f64 1 a) (/.f64 -1 b)) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(+.f64 (/.f64 1 a) (/.f64 -1 b)) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(+.f64 (/.f64 1 a) (/.f64 -1 b)) |
(/.f64 1 a) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(+.f64 (/.f64 1 a) (/.f64 -1 b)) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(+.f64 (/.f64 1 a) (/.f64 -1 b)) |
(-.f64 (/.f64 1 a) (/.f64 1 b)) |
(+.f64 (/.f64 1 a) (/.f64 -1 b)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (PI.f64) 1/2)) |
| ✓ | 1.2b | (/.f64 1 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (PI.f64) 1/2))) |
| 4.2b | (-.f64 (*.f64 b b) (*.f64 a a)) | |
| ✓ | 9.3b | (*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (PI.f64) 1/2))) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
Compiled 81 to 38 computations (53.1% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | 0 | (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (PI.f64) 1/2)) |
| 1.0ms | a | @ | 0 | (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (PI.f64) 1/2)) |
| 1.0ms | a | @ | inf | (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (PI.f64) 1/2)) |
| 1.0ms | b | @ | inf | (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (PI.f64) 1/2)) |
| 0.0ms | b | @ | 0 | (*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (PI.f64) 1/2))) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
| 1× | batch-egg-rewrite |
| 625× | fma-def_binary64 |
| 320× | expm1-udef_binary64 |
| 320× | log1p-udef_binary64 |
| 306× | fma-neg_binary64 |
| 193× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 66 |
| 1 | 374 | 63 |
| 2 | 5829 | 63 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (PI.f64) 1/2))) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
(/.f64 1 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (PI.f64) 1/2))) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (PI.f64) 1/2)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 802× | times-frac_binary64 |
| 455× | distribute-rgt-out_binary64 |
| 401× | associate-/l*_binary64 |
| 381× | fma-def_binary64 |
| 360× | associate-/r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 2112 |
| 1 | 283 | 2100 |
| 2 | 913 | 1941 |
| 3 | 4699 | 1902 |
| 4 | 6074 | 1902 |
| 5 | 6764 | 1902 |
| 6 | 7125 | 1902 |
| 7 | 7449 | 1902 |
| 8 | 7784 | 1902 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 6) (PI.f64)) (pow.f64 a 8))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))))) |
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 6) (PI.f64)) (pow.f64 b 8))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))))) |
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 6) (PI.f64)) (pow.f64 b 8))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))))) |
(*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2))))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 4) (PI.f64)) (pow.f64 b 6))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 6) (PI.f64)) (pow.f64 b 8))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 b 2)))))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 6) (PI.f64)) (pow.f64 a 8))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 6) (PI.f64)) (pow.f64 a 8))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))))) |
(*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b)))) |
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) a)) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 1/2 b)) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))) |
(fma.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) (/.f64 (*.f64 (PI.f64) b) (pow.f64 a 4))))) |
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) (*.f64 (/.f64 b (pow.f64 a 4)) (PI.f64))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)))) |
(fma.f64 1/2 (*.f64 (PI.f64) (/.f64 b (pow.f64 a 4))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)) (*.f64 (/.f64 b (*.f64 a a)) 1/2))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (+.f64 (/.f64 1/2 b) (*.f64 (/.f64 b (*.f64 a a)) 1/2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 5) (PI.f64))) (*.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) (/.f64 (*.f64 (PI.f64) b) (pow.f64 a 4)))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) (*.f64 (/.f64 b (pow.f64 a 4)) (PI.f64))) (/.f64 (*.f64 -1/2 (*.f64 b b)) (/.f64 (pow.f64 a 5) (PI.f64))))) |
(fma.f64 -1/2 (/.f64 b (/.f64 (pow.f64 a 5) (*.f64 (PI.f64) b))) (fma.f64 1/2 (*.f64 (PI.f64) (/.f64 b (pow.f64 a 4))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))) |
(fma.f64 -1/2 (*.f64 (PI.f64) (/.f64 (*.f64 b b) (pow.f64 a 5))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)) (*.f64 (/.f64 b (*.f64 a a)) 1/2)))) |
(fma.f64 -1/2 (*.f64 (PI.f64) (/.f64 (*.f64 b b) (pow.f64 a 5))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (+.f64 (/.f64 1/2 b) (*.f64 (/.f64 b (*.f64 a a)) 1/2))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a)) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (/.f64 1/2 a)) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))) |
(fma.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) b) b) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 -1/2 b) (/.f64 1/2 a))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))))) |
(fma.f64 1/2 (+.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) (*.f64 (/.f64 a (pow.f64 b 4)) (PI.f64))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)))) |
(fma.f64 1/2 (*.f64 (PI.f64) (/.f64 a (pow.f64 b 4))) (*.f64 (/.f64 (/.f64 (PI.f64) b) b) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (+.f64 (/.f64 -1/2 b) (/.f64 1/2 a)) (*.f64 (/.f64 a (*.f64 b b)) 1/2))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))) |
(fma.f64 -1/2 (/.f64 (*.f64 (PI.f64) (*.f64 a a)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3)) (*.f64 1/2 (+.f64 (/.f64 a (/.f64 (pow.f64 b 4) (PI.f64))) (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))))) |
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(*.f64 -1/2 (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (+.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))) |
(*.f64 -1/2 (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 1 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (/.f64 (pow.f64 b 4) (pow.f64 a 4)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 6) (PI.f64)) (pow.f64 a 8))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 4) (PI.f64)) (pow.f64 a 6))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2)))))) |
(fma.f64 -1/2 (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 4) (PI.f64))) (fma.f64 -1/2 (/.f64 (pow.f64 b 6) (/.f64 (pow.f64 a 8) (PI.f64))) (*.f64 -1/2 (+.f64 (/.f64 (pow.f64 b 4) (/.f64 (pow.f64 a 6) (PI.f64))) (/.f64 (PI.f64) (*.f64 a a)))))) |
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 b b) (pow.f64 a 4)) (PI.f64)) (*.f64 -1/2 (+.f64 (+.f64 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (PI.f64))) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 8)) (PI.f64))))) |
(*.f64 -1/2 (+.f64 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (PI.f64) (/.f64 (PI.f64) (*.f64 a a))) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 b b) (pow.f64 a 4)) (/.f64 (pow.f64 b 6) (pow.f64 a 8)))))) |
(*.f64 -1/2 (+.f64 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 b b) (pow.f64 a 4)) (+.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 8)) (/.f64 (pow.f64 b 4) (pow.f64 a 6))))))) |
(*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) |
(*.f64 -2 (/.f64 (*.f64 a a) (PI.f64))) |
(/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64)) |
(*.f64 -2 (*.f64 (/.f64 a (PI.f64)) a)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64)))) |
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64))) |
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64)))) |
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64))) |
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64)))) |
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64))) |
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b))) |
(*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))) |
(*.f64 2 (/.f64 (*.f64 b b) (PI.f64))) |
(/.f64 2 (/.f64 (/.f64 (PI.f64) b) b)) |
(*.f64 2 (/.f64 b (/.f64 (PI.f64) b))) |
(*.f64 (/.f64 2 (PI.f64)) (*.f64 b b)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64)))) |
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64))) |
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64)))) |
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64))) |
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64)))) |
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64))) |
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b))) |
(*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))) |
(*.f64 2 (/.f64 (*.f64 b b) (PI.f64))) |
(/.f64 2 (/.f64 (/.f64 (PI.f64) b) b)) |
(*.f64 2 (/.f64 b (/.f64 (PI.f64) b))) |
(*.f64 (/.f64 2 (PI.f64)) (*.f64 b b)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64)))) |
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64))) |
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64)))) |
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64))) |
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64)))) |
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64))) |
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b))) |
(*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64))) |
(*.f64 2 (/.f64 (*.f64 b b) (PI.f64))) |
(/.f64 2 (/.f64 (/.f64 (PI.f64) b) b)) |
(*.f64 2 (/.f64 b (/.f64 (PI.f64) b))) |
(*.f64 (/.f64 2 (PI.f64)) (*.f64 b b)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64)))) |
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64))) |
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64)))) |
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64))) |
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64)))) |
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64))) |
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b))) |
(*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) |
(*.f64 -2 (/.f64 (*.f64 a a) (PI.f64))) |
(/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64)) |
(*.f64 -2 (*.f64 (/.f64 a (PI.f64)) a)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64)))) |
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64))) |
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64)))) |
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64))) |
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64)))) |
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64))) |
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b))) |
(*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) |
(*.f64 -2 (/.f64 (*.f64 a a) (PI.f64))) |
(/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64)) |
(*.f64 -2 (*.f64 (/.f64 a (PI.f64)) a)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64)))) |
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64))) |
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64)))) |
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64))) |
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (PI.f64))) (*.f64 2 (/.f64 (pow.f64 b 2) (PI.f64)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 2 (/.f64 (*.f64 b b) (PI.f64)))) |
(fma.f64 2 (/.f64 b (/.f64 (PI.f64) b)) (/.f64 (*.f64 (*.f64 -2 a) a) (PI.f64))) |
(fma.f64 -2 (*.f64 (/.f64 a (PI.f64)) a) (*.f64 2 (/.f64 b (/.f64 (PI.f64) b)))) |
(fma.f64 -2 (/.f64 (*.f64 a a) (PI.f64)) (*.f64 (/.f64 2 (PI.f64)) (*.f64 b b))) |
Compiled 34521 to 18736 computations (45.7% saved)
18 alts after pruning (17 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1308 | 15 | 1323 |
| Fresh | 12 | 2 | 14 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 1 | 4 |
| Total | 1324 | 18 | 1342 |
| Status | Error | Program |
|---|---|---|
| ▶ | 24.9b | (/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 1 b) (*.f64 a b))) 2) |
| 31.9b | (*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) | |
| 24.9b | (*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a b))) | |
| 32.0b | (*.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (*.f64 a a))) | |
| 24.9b | (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 a b)) b) | |
| ✓ | 15.1b | (/.f64 (*.f64 (PI.f64) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (*.f64 b b) (*.f64 a a)))) 2) |
| 1.5b | (/.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 a b) (*.f64 a b)))) 2) (/.f64 1 (cbrt.f64 (*.f64 (+.f64 a b) (*.f64 a b)))))) 2) | |
| 29.5b | (/.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) a) | |
| 0.9b | (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b))) 2) | |
| 29.5b | (/.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) a) a) | |
| 28.6b | (/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) 2) | |
| 31.7b | (/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) 2) | |
| ▶ | 24.9b | (*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b)) |
| 19.3b | (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 2 (PI.f64))) (*.f64 b a))) | |
| ▶ | 35.2b | (*.f64 (/.f64 1 (*.f64 -2 (*.f64 (/.f64 a (PI.f64)) a))) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
| 1.0b | (/.f64 1 (/.f64 (-.f64 b a) (*.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (+.f64 (/.f64 1 a) (/.f64 -1 b))))) | |
| ▶ | 29.4b | (/.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (*.f64 b b)) |
| ▶ | 0.3b | (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (*.f64 b a)) |
Compiled 519 to 367 computations (29.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (*.f64 b a)) |
| 0.3b | (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) |
Compiled 33 to 15 computations (54.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | inf | (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (*.f64 b a)) |
| 1.0ms | b | @ | 0 | (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (*.f64 b a)) |
| 1.0ms | a | @ | 0 | (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (*.f64 b a)) |
| 1.0ms | a | @ | -inf | (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (*.f64 b a)) |
| 1.0ms | b | @ | -inf | (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (*.f64 b a)) |
| 1× | batch-egg-rewrite |
| 674× | log-prod_binary64 |
| 619× | prod-diff_binary64 |
| 232× | log-div_binary64 |
| 217× | pow1/3_binary64 |
| 212× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 17 |
| 1 | 226 | 17 |
| 2 | 3522 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (*.f64 b a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) 1/2) (/.f64 1 (*.f64 a (*.f64 b (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) 1/2) (*.f64 (/.f64 1 (+.f64 b a)) (/.f64 1 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) (/.f64 1 (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) 2)) (*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a)))) (/.f64 1 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))) 2) (cbrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a)))) (*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a)))) (/.f64 1 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))) (sqrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (PI.f64) -1/2) (+.f64 b a)) (/.f64 1 (*.f64 b (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 b a)) (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (+.f64 b a))) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (PI.f64) 1/2) 1) (/.f64 (/.f64 1 (+.f64 b a)) (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) 2)) 1) (/.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a)))) (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a)))) 1) (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a)))) (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a)))) b) (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 b a)) (/.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 b a)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (PI.f64) 1/2) b) (/.f64 (/.f64 1 (+.f64 b a)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (/.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) 2)) b) (/.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a)))) a) (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (PI.f64) 1/2) a) (/.f64 (/.f64 1 (+.f64 b a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) 2)) a) (/.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (*.f64 b a)) 2)) (/.f64 (/.f64 1 (+.f64 b a)) (cbrt.f64 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 b a)) 2)) (/.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) (cbrt.f64 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) 2)) (pow.f64 (cbrt.f64 (*.f64 b a)) 2)) (cbrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a)))) (pow.f64 (cbrt.f64 (*.f64 b a)) 2)) (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a)))) (cbrt.f64 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 b a))) (/.f64 (/.f64 1 (+.f64 b a)) (sqrt.f64 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 b a))) (/.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) (sqrt.f64 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) 2)) (sqrt.f64 (*.f64 b a))) (/.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a)))) (sqrt.f64 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (*.f64 (PI.f64) 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) 3) (pow.f64 (*.f64 b a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 b a) (*.f64 (PI.f64) 1/2)) (*.f64 b a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a (*.f64 b (+.f64 b a))) (*.f64 (PI.f64) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 b a) (/.f64 (+.f64 b a) (*.f64 (PI.f64) 1/2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) (*.f64 b (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 1/2 (/.f64 (PI.f64) (+.f64 b a))) 3) (pow.f64 (*.f64 b a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a)))) 1)))))) |
| 1× | egg-herbie |
| 929× | fma-def_binary64 |
| 668× | unswap-sqr_binary64 |
| 451× | associate-*l/_binary64 |
| 389× | associate-*l*_binary64 |
| 387× | associate-*r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 792 |
| 1 | 149 | 792 |
| 2 | 447 | 711 |
| 3 | 1653 | 690 |
| 4 | 5815 | 672 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 (/.f64 1/2 (*.f64 a a)) (/.f64 (PI.f64) b)) |
(/.f64 1/2 (*.f64 (/.f64 b (PI.f64)) (*.f64 a a))) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 (/.f64 1/2 (*.f64 a a)) (/.f64 (PI.f64) b))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64)))))) |
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) (*.f64 (/.f64 b (pow.f64 a 4)) (PI.f64))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)))) |
(fma.f64 1/2 (*.f64 (PI.f64) (/.f64 b (pow.f64 a 4))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)) (*.f64 1/2 (/.f64 (/.f64 b a) a)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)) (*.f64 1/2 (/.f64 b (*.f64 a a))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 5) (PI.f64))) (*.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) (*.f64 (/.f64 b (pow.f64 a 4)) (PI.f64))) (*.f64 -1/2 (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 5) (PI.f64)))))) |
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(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64)))))) |
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) (*.f64 (/.f64 b (pow.f64 a 4)) (PI.f64))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)))) |
(fma.f64 1/2 (*.f64 (PI.f64) (/.f64 b (pow.f64 a 4))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)) (*.f64 1/2 (/.f64 (/.f64 b a) a)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)) (*.f64 1/2 (/.f64 b (*.f64 a a))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 5) (PI.f64))) (*.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) (*.f64 (/.f64 b (pow.f64 a 4)) (PI.f64))) (*.f64 -1/2 (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 5) (PI.f64)))))) |
(fma.f64 -1/2 (*.f64 (/.f64 (PI.f64) (pow.f64 a 5)) (*.f64 b b)) (fma.f64 1/2 (*.f64 (PI.f64) (/.f64 b (pow.f64 a 4))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))) |
(fma.f64 -1/2 (*.f64 (*.f64 b b) (/.f64 (PI.f64) (pow.f64 a 5))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)) (*.f64 1/2 (/.f64 (/.f64 b a) a))))) |
(fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b)) (*.f64 (*.f64 (PI.f64) b) (+.f64 (/.f64 1/2 (pow.f64 a 4)) (/.f64 -1/2 (/.f64 (pow.f64 a 5) b))))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b) |
| ✓ | 0.2b | (/.f64 (/.f64 (PI.f64) b) a) |
| ✓ | 0.3b | (/.f64 (PI.f64) b) |
Compiled 30 to 9 computations (70% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | 0 | (/.f64 (/.f64 (PI.f64) b) a) |
| 1.0ms | b | @ | 0 | (/.f64 (/.f64 (PI.f64) b) a) |
| 1.0ms | b | @ | 0 | (/.f64 (PI.f64) b) |
| 1.0ms | b | @ | -inf | (/.f64 (/.f64 (PI.f64) b) a) |
| 0.0ms | a | @ | -inf | (/.f64 (/.f64 (PI.f64) b) a) |
| 1× | batch-egg-rewrite |
| 489× | log-prod_binary64 |
| 371× | exp-prod_binary64 |
| 368× | prod-exp_binary64 |
| 313× | pow-prod-down_binary64 |
| 220× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 24 |
| 1 | 157 | 24 |
| 2 | 2471 | 24 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (PI.f64) b) |
(/.f64 (/.f64 (PI.f64) b) a) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) b) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (PI.f64) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) b))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) b)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (PI.f64) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (PI.f64) b)) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) b)) 2) (cbrt.f64 (/.f64 (PI.f64) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (PI.f64) b)) (sqrt.f64 (/.f64 (PI.f64) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (PI.f64)) (/.f64 1 (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) -2) (/.f64 (PI.f64) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b -1/2) (/.f64 (PI.f64) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (/.f64 (PI.f64) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 b)) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (PI.f64) b) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (PI.f64) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (PI.f64) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (PI.f64) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (PI.f64)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (PI.f64) b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 b 3)) 1/3)))) 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#<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (PI.f64) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (PI.f64) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (PI.f64) b))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (PI.f64) b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (PI.f64) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 b (PI.f64))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (PI.f64) b)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (PI.f64)) 1) (log.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (PI.f64)) 1) (*.f64 (log.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) 1) (neg.f64 (log.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 b)) (*.f64 (log.f64 (PI.f64)) 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (PI.f64) (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 b a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 b a))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (*.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (/.f64 1 (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) b) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (*.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (PI.f64) (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 b a))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 b a))) 2) (cbrt.f64 (/.f64 (PI.f64) (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) b)) 2) (*.f64 (cbrt.f64 (/.f64 (PI.f64) b)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 b a))) (sqrt.f64 (/.f64 (PI.f64) (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (PI.f64) b)) (*.f64 (sqrt.f64 (/.f64 (PI.f64) b)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (PI.f64)) b) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 (PI.f64) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) a) (/.f64 (cbrt.f64 (PI.f64)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (/.f64 (sqrt.f64 (PI.f64)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) 1) (/.f64 (/.f64 1 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) b)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (PI.f64) b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) b)) 1) (/.f64 (sqrt.f64 (/.f64 (PI.f64) b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (/.f64 1 b) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) -2) (/.f64 (/.f64 (PI.f64) b) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) b)) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (PI.f64) (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) b)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (/.f64 (PI.f64) b)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (sqrt.f64 a)) (/.f64 (/.f64 1 b) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1/2) (/.f64 (/.f64 (PI.f64) b) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) b)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (/.f64 (PI.f64) b)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) (*.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 b a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 b a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 b a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (/.f64 b (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (PI.f64) (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) b) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 b (PI.f64)) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 b a) (PI.f64)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a (/.f64 b (PI.f64))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (PI.f64) (*.f64 b a)))) 2)) (cbrt.f64 (log.f64 (/.f64 (PI.f64) (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (PI.f64) (*.f64 b a))))) (sqrt.f64 (log.f64 (/.f64 (PI.f64) (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (PI.f64) b) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) b) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (PI.f64) (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (PI.f64) (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (PI.f64) (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (*.f64 b a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (PI.f64) (*.f64 b a)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 b a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 b a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (/.f64 b (PI.f64)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (*.f64 b a))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (PI.f64)) 1) (log.f64 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (PI.f64) b)) 1) (log.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 (PI.f64) b)) (*.f64 (log.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (PI.f64) b)) 1) (*.f64 (log.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (PI.f64) b)) 1) (neg.f64 (log.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 a)) (*.f64 (log.f64 (/.f64 (PI.f64) b)) 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 1 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) b) (/.f64 1 (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 b a))) 2) (*.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 b a))) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))) 2) (cbrt.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 b a))) (*.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 b a))) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))) (sqrt.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (PI.f64)) (*.f64 b a)) (/.f64 1 (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (/.f64 (PI.f64) (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) b)) 2) b) (/.f64 (cbrt.f64 (/.f64 (PI.f64) b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) b)) b) (/.f64 (sqrt.f64 (/.f64 (PI.f64) b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (PI.f64) b) 1) (/.f64 (/.f64 1 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 b a))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 b a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 b a))) 1) (/.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 b a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (PI.f64) b) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (/.f64 1 a) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) -2) (/.f64 (/.f64 (PI.f64) (*.f64 b a)) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 b a))) 2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 b a))) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 b a))) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (PI.f64) b) (sqrt.f64 b)) (/.f64 (/.f64 1 a) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b -1/2) (/.f64 (/.f64 (PI.f64) (*.f64 b a)) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 b a))) 2) (sqrt.f64 b)) (/.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 b a))) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (*.f64 a (/.f64 b (PI.f64)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 b a)) 3) (pow.f64 b 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 a (/.f64 b (PI.f64))) b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 b a) (/.f64 (PI.f64) b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 b (*.f64 a (/.f64 b (PI.f64)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 b a) (/.f64 b (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)))) 2)) (cbrt.f64 (log.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))))) (sqrt.f64 (log.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b a)) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 b a)) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 b (*.f64 a (/.f64 b (PI.f64))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) b))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (PI.f64) b)) 1) (log.f64 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (*.f64 b a))) 1) (log.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 (PI.f64) (*.f64 b a))) (*.f64 (log.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (*.f64 b a))) 1) (*.f64 (log.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (*.f64 b a))) 1) (neg.f64 (log.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 b)) (*.f64 (log.f64 (/.f64 (PI.f64) (*.f64 b a))) 1))))))) |
| 1× | egg-herbie |
| 759× | sqr-pow_binary64 |
| 560× | cube-prod_binary64 |
| 559× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
| 447× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 456 |
| 1 | 20 | 456 |
| 2 | 34 | 456 |
| 3 | 61 | 456 |
| 4 | 162 | 456 |
| 5 | 531 | 456 |
| 6 | 1988 | 456 |
| 7 | 2868 | 456 |
| 8 | 3032 | 456 |
| 9 | 3216 | 456 |
| 10 | 3424 | 456 |
| 11 | 3727 | 456 |
| 12 | 4122 | 456 |
| 13 | 4603 | 456 |
| 14 | 5169 | 456 |
| 15 | 5861 | 456 |
| 16 | 6698 | 456 |
| 17 | 7090 | 456 |
| 18 | 7380 | 456 |
| 19 | 7658 | 456 |
| 20 | 7730 | 456 |
| 21 | 7764 | 456 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
| Outputs |
|---|
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (*.f64 (/.f64 1/2 a) (PI.f64)) |
| ✓ | 9.0b | (/.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (*.f64 b b)) |
Compiled 26 to 14 computations (46.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | a | @ | inf | (*.f64 (/.f64 1/2 a) (PI.f64)) |
| 0.0ms | a | @ | 0 | (*.f64 (/.f64 1/2 a) (PI.f64)) |
| 0.0ms | a | @ | -inf | (*.f64 (/.f64 1/2 a) (PI.f64)) |
| 0.0ms | a | @ | 0 | (/.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (*.f64 b b)) |
| 0.0ms | a | @ | inf | (/.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (*.f64 b b)) |
| 1× | batch-egg-rewrite |
| 555× | log-prod_binary64 |
| 434× | exp-prod_binary64 |
| 330× | pow-prod-down_binary64 |
| 264× | pow2_binary64 |
| 189× | log-div_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 22 |
| 1 | 200 | 22 |
| 2 | 2855 | 22 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (*.f64 b b)) |
(*.f64 (/.f64 1/2 a) (PI.f64)) |
| Outputs |
|---|
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-2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (*.f64 b (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (/.f64 1/2 a) (pow.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (pow.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) b) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) 3) (pow.f64 b 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (pow.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (pow.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (pow.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (pow.f64 b -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) b) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (pow.f64 b -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 b (/.f64 1/2 a)) (/.f64 b (PI.f64)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (pow.f64 b -2))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1/2 a) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 1/2 a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 1/2 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/2 a) (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 a (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (*.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 1/2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (PI.f64)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 (PI.f64))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 (PI.f64)) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 (PI.f64)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 (PI.f64)) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (PI.f64)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) -1/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 1/2 a) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 1/2 (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 1/2 a) (PI.f64)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 1/2 a) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 1/2 a) (PI.f64))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 1/2 a) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/2 a) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 1/2 a) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 1/2 a) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 1/2 a) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 1/2 a) (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/2 a) (PI.f64))) 1) 1)))))) |
| 1× | egg-herbie |
| 754× | associate-*r/_binary64 |
| 743× | associate-/r/_binary64 |
| 621× | *-commutative_binary64 |
| 579× | sqr-pow_binary64 |
| 553× | associate-*l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 432 |
| 1 | 24 | 432 |
| 2 | 52 | 432 |
| 3 | 137 | 432 |
| 4 | 434 | 432 |
| 5 | 1792 | 432 |
| 6 | 3351 | 432 |
| 7 | 4035 | 432 |
| 8 | 4149 | 432 |
| 9 | 4296 | 432 |
| 10 | 4471 | 432 |
| 11 | 4722 | 432 |
| 12 | 5773 | 432 |
| 13 | 6223 | 432 |
| 14 | 6689 | 432 |
| 15 | 7272 | 432 |
| 16 | 7980 | 432 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(/.f64 (*.f64 1/2 (PI.f64)) a) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(/.f64 (*.f64 1/2 (PI.f64)) a) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(/.f64 (*.f64 1/2 (PI.f64)) a) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(/.f64 (*.f64 1/2 (PI.f64)) a) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(/.f64 (*.f64 1/2 (PI.f64)) a) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(/.f64 (*.f64 1/2 (PI.f64)) a) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(/.f64 (*.f64 1/2 (PI.f64)) a) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(/.f64 (*.f64 1/2 (PI.f64)) a) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(/.f64 (*.f64 1/2 (PI.f64)) a) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(/.f64 (*.f64 1/2 (PI.f64)) a) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(/.f64 (*.f64 1/2 (PI.f64)) a) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(/.f64 (*.f64 1/2 (PI.f64)) a) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (/.f64 1 b) (*.f64 a b)) |
| ✓ | 0.2b | (*.f64 (PI.f64) (/.f64 (/.f64 1 b) (*.f64 a b))) |
Compiled 40 to 21 computations (47.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | a | @ | 0 | (/.f64 (/.f64 1 b) (*.f64 a b)) |
| 0.0ms | b | @ | 0 | (/.f64 (/.f64 1 b) (*.f64 a b)) |
| 0.0ms | a | @ | -inf | (/.f64 (/.f64 1 b) (*.f64 a b)) |
| 0.0ms | b | @ | 0 | (*.f64 (PI.f64) (/.f64 (/.f64 1 b) (*.f64 a b))) |
| 0.0ms | b | @ | inf | (*.f64 (PI.f64) (/.f64 (/.f64 1 b) (*.f64 a b))) |
| 1× | batch-egg-rewrite |
| 988× | pow1_binary64 |
| 914× | add-log-exp_binary64 |
| 914× | log1p-expm1-u_binary64 |
| 914× | expm1-log1p-u_binary64 |
| 94× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 24 |
| 1 | 188 | 18 |
| 2 | 2572 | 18 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (PI.f64) (/.f64 (/.f64 1 b) (*.f64 a b))) |
(/.f64 (/.f64 1 b) (*.f64 a b)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 b -2) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (*.f64 b (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 b a) (/.f64 (PI.f64) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (PI.f64) b) (*.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (PI.f64) b)) (*.f64 b (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (PI.f64) b) 1) (*.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (PI.f64) b) b) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (PI.f64) b) a) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (PI.f64) b) (pow.f64 (cbrt.f64 (*.f64 b a)) 2)) (cbrt.f64 (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (PI.f64) b) (sqrt.f64 (*.f64 b a))) (sqrt.f64 (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 b) (PI.f64)) (*.f64 b (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (/.f64 1 a) b) (PI.f64)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (/.f64 -1 b)) (*.f64 b (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (/.f64 (/.f64 1 a) b)) b)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 b -2) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 b -2) a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 b -2) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 b -2) a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 b -2) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 (pow.f64 b -2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 b -2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 b -2) a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 (pow.f64 b -2) a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 b -2) a) 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 b -2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 b -2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (/.f64 (pow.f64 b -2) a)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 b -2) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 b -2) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (/.f64 (/.f64 1 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 b -2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 b -2) a)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 b -2) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 b -2) a)) 2) (cbrt.f64 (/.f64 (pow.f64 b -2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 b -2)) (*.f64 (cbrt.f64 (/.f64 1 b)) (/.f64 (/.f64 1 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 b -2) a)) (sqrt.f64 (/.f64 (pow.f64 b -2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b -1/2) (*.f64 (pow.f64 b -1/2) (/.f64 (/.f64 1 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 b) (/.f64 1 (*.f64 b (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 a) b) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 b -2)) 1) (/.f64 (cbrt.f64 (/.f64 1 b)) (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 b -1/2) 1) (/.f64 (pow.f64 b -1/2) (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 b -2)) b) (/.f64 (cbrt.f64 (/.f64 1 b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 b -1/2) b) (/.f64 (pow.f64 b -1/2) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 b -1/2) a) (/.f64 (pow.f64 b -1/2) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (pow.f64 b -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 b -2)) a) (/.f64 (cbrt.f64 (/.f64 1 b)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 b a)) 2)) (/.f64 (/.f64 1 b) (cbrt.f64 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 b -2)) (pow.f64 (cbrt.f64 (*.f64 b a)) 2)) (cbrt.f64 (/.f64 (pow.f64 b -2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 b -1/2) (pow.f64 (cbrt.f64 (*.f64 b a)) 2)) (/.f64 (pow.f64 b -1/2) (cbrt.f64 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 b a))) (/.f64 (/.f64 1 b) (sqrt.f64 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 b -2)) (sqrt.f64 (*.f64 b a))) (/.f64 (cbrt.f64 (/.f64 1 b)) (sqrt.f64 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 b -2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 b -2) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 b -2) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 b -2) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (*.f64 b a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 b) (*.f64 b (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 b -2) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 b -2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 b -2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 b -2) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (/.f64 (pow.f64 b -2) b) (pow.f64 (*.f64 b a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 b -2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 b -2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 b -2) a))))))) |
| 1× | egg-herbie |
| 1082× | sqr-pow_binary64 |
| 560× | cube-prod_binary64 |
| 559× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
| 457× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 504 |
| 1 | 21 | 504 |
| 2 | 38 | 504 |
| 3 | 79 | 504 |
| 4 | 210 | 504 |
| 5 | 702 | 504 |
| 6 | 1899 | 504 |
| 7 | 2776 | 504 |
| 8 | 2940 | 504 |
| 9 | 3124 | 504 |
| 10 | 3332 | 504 |
| 11 | 3629 | 504 |
| 12 | 4022 | 504 |
| 13 | 4501 | 504 |
| 14 | 5069 | 504 |
| 15 | 5761 | 504 |
| 16 | 6602 | 504 |
| 17 | 7000 | 504 |
| 18 | 7288 | 504 |
| 19 | 7560 | 504 |
| 20 | 7630 | 504 |
| 21 | 7666 | 504 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
| Outputs |
|---|
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 b b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) |
(/.f64 (/.f64 (PI.f64) b) (*.f64 a b)) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 1 a) (*.f64 b b)) |
(/.f64 (/.f64 1 (*.f64 b b)) a) |
(/.f64 1 (*.f64 a (*.f64 b b))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 1 a) (*.f64 b b)) |
(/.f64 (/.f64 1 (*.f64 b b)) a) |
(/.f64 1 (*.f64 a (*.f64 b b))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 1 a) (*.f64 b b)) |
(/.f64 (/.f64 1 (*.f64 b b)) a) |
(/.f64 1 (*.f64 a (*.f64 b b))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 1 a) (*.f64 b b)) |
(/.f64 (/.f64 1 (*.f64 b b)) a) |
(/.f64 1 (*.f64 a (*.f64 b b))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 1 a) (*.f64 b b)) |
(/.f64 (/.f64 1 (*.f64 b b)) a) |
(/.f64 1 (*.f64 a (*.f64 b b))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 1 a) (*.f64 b b)) |
(/.f64 (/.f64 1 (*.f64 b b)) a) |
(/.f64 1 (*.f64 a (*.f64 b b))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 1 a) (*.f64 b b)) |
(/.f64 (/.f64 1 (*.f64 b b)) a) |
(/.f64 1 (*.f64 a (*.f64 b b))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 1 a) (*.f64 b b)) |
(/.f64 (/.f64 1 (*.f64 b b)) a) |
(/.f64 1 (*.f64 a (*.f64 b b))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 1 a) (*.f64 b b)) |
(/.f64 (/.f64 1 (*.f64 b b)) a) |
(/.f64 1 (*.f64 a (*.f64 b b))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 1 a) (*.f64 b b)) |
(/.f64 (/.f64 1 (*.f64 b b)) a) |
(/.f64 1 (*.f64 a (*.f64 b b))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 1 a) (*.f64 b b)) |
(/.f64 (/.f64 1 (*.f64 b b)) a) |
(/.f64 1 (*.f64 a (*.f64 b b))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 1 a) (*.f64 b b)) |
(/.f64 (/.f64 1 (*.f64 b b)) a) |
(/.f64 1 (*.f64 a (*.f64 b b))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 1 a) (*.f64 b b)) |
(/.f64 (/.f64 1 (*.f64 b b)) a) |
(/.f64 1 (*.f64 a (*.f64 b b))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 1 a) (*.f64 b b)) |
(/.f64 (/.f64 1 (*.f64 b b)) a) |
(/.f64 1 (*.f64 a (*.f64 b b))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 1 a) (*.f64 b b)) |
(/.f64 (/.f64 1 (*.f64 b b)) a) |
(/.f64 1 (*.f64 a (*.f64 b b))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 1 a) (*.f64 b b)) |
(/.f64 (/.f64 1 (*.f64 b b)) a) |
(/.f64 1 (*.f64 a (*.f64 b b))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 1 a) (*.f64 b b)) |
(/.f64 (/.f64 1 (*.f64 b b)) a) |
(/.f64 1 (*.f64 a (*.f64 b b))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 1 a) (*.f64 b b)) |
(/.f64 (/.f64 1 (*.f64 b b)) a) |
(/.f64 1 (*.f64 a (*.f64 b b))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 1 a) (*.f64 b b)) |
(/.f64 (/.f64 1 (*.f64 b b)) a) |
(/.f64 1 (*.f64 a (*.f64 b b))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 1 a) (*.f64 b b)) |
(/.f64 (/.f64 1 (*.f64 b b)) a) |
(/.f64 1 (*.f64 a (*.f64 b b))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 1 a) (*.f64 b b)) |
(/.f64 (/.f64 1 (*.f64 b b)) a) |
(/.f64 1 (*.f64 a (*.f64 b b))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 1 a) (*.f64 b b)) |
(/.f64 (/.f64 1 (*.f64 b b)) a) |
(/.f64 1 (*.f64 a (*.f64 b b))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 1 a) (*.f64 b b)) |
(/.f64 (/.f64 1 (*.f64 b b)) a) |
(/.f64 1 (*.f64 a (*.f64 b b))) |
(/.f64 1 (*.f64 a (pow.f64 b 2))) |
(/.f64 (/.f64 1 a) (*.f64 b b)) |
(/.f64 (/.f64 1 (*.f64 b b)) a) |
(/.f64 1 (*.f64 a (*.f64 b b))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (/.f64 a (PI.f64)) a) |
| ✓ | 0.3b | (/.f64 a (PI.f64)) |
| ✓ | 0.8b | (/.f64 1 (*.f64 -2 (*.f64 (/.f64 a (PI.f64)) a))) |
| ✓ | 5.7b | (*.f64 (/.f64 1 (*.f64 -2 (*.f64 (/.f64 a (PI.f64)) a))) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
Compiled 61 to 32 computations (47.5% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | a | @ | 0 | (*.f64 (/.f64 1 (*.f64 -2 (*.f64 (/.f64 a (PI.f64)) a))) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
| 1.0ms | b | @ | 0 | (*.f64 (/.f64 1 (*.f64 -2 (*.f64 (/.f64 a (PI.f64)) a))) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
| 1.0ms | b | @ | -inf | (*.f64 (/.f64 1 (*.f64 -2 (*.f64 (/.f64 a (PI.f64)) a))) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
| 1.0ms | a | @ | -inf | (*.f64 (/.f64 1 (*.f64 -2 (*.f64 (/.f64 a (PI.f64)) a))) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
| 1.0ms | b | @ | inf | (*.f64 (/.f64 1 (*.f64 -2 (*.f64 (/.f64 a (PI.f64)) a))) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
| 1× | batch-egg-rewrite |
| 801× | log-prod_binary64 |
| 604× | prod-diff_binary64 |
| 276× | log-div_binary64 |
| 272× | expm1-udef_binary64 |
| 272× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 47 |
| 1 | 313 | 47 |
| 2 | 4502 | 47 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (*.f64 -2 (*.f64 (/.f64 a (PI.f64)) a))) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
(/.f64 1 (*.f64 -2 (*.f64 (/.f64 a (PI.f64)) a))) |
(/.f64 a (PI.f64)) |
(*.f64 (/.f64 a (PI.f64)) a) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/2 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 a (/.f64 a (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 a) (*.f64 (/.f64 -1/2 (*.f64 a a)) (PI.f64))) (*.f64 (/.f64 -1 b) (*.f64 (/.f64 -1/2 (*.f64 a a)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 -1/2 (*.f64 a a)) (PI.f64)) (/.f64 1 a)) (*.f64 (*.f64 (/.f64 -1/2 (*.f64 a a)) (PI.f64)) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 -1/2 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 a (/.f64 a (PI.f64))))))) (cbrt.f64 (exp.f64 (*.f64 -1/2 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 a (/.f64 a (PI.f64))))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 -1/2 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (*.f64 a (/.f64 a (PI.f64)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 -1/2 (/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (/.f64 a (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 a (PI.f64)))) (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 a (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 a (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 a (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 a (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (/.f64 a (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (PI.f64) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 (PI.f64) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a a) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a a)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a) a) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (neg.f64 a)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a a) 1) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a a) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a a) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (/.f64 a (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (/.f64 a (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (/.f64 a (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (sqrt.f64 (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (/.f64 a (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (/.f64 a (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (/.f64 a (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (/.f64 a (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 a (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 a (PI.f64)) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (/.f64 a (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (/.f64 a (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (/.f64 a (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (/.f64 a (PI.f64)))) 1)))))) |
| 1× | egg-herbie |
| 728× | times-frac_binary64 |
| 574× | associate-/r*_binary64 |
| 536× | unswap-sqr_binary64 |
| 509× | associate-/l/_binary64 |
| 472× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 753 |
| 1 | 43 | 753 |
| 2 | 106 | 663 |
| 3 | 292 | 663 |
| 4 | 1077 | 663 |
| 5 | 5166 | 663 |
| 6 | 6759 | 663 |
| 7 | 6996 | 663 |
| 8 | 7248 | 663 |
| 9 | 7539 | 663 |
| 10 | 7922 | 663 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(/.f64 (pow.f64 a 2) (PI.f64)) |
(/.f64 (pow.f64 a 2) (PI.f64)) |
(/.f64 (pow.f64 a 2) (PI.f64)) |
(/.f64 (pow.f64 a 2) (PI.f64)) |
(/.f64 (pow.f64 a 2) (PI.f64)) |
(/.f64 (pow.f64 a 2) (PI.f64)) |
(/.f64 (pow.f64 a 2) (PI.f64)) |
(/.f64 (pow.f64 a 2) (PI.f64)) |
(/.f64 (pow.f64 a 2) (PI.f64)) |
(/.f64 (pow.f64 a 2) (PI.f64)) |
(/.f64 (pow.f64 a 2) (PI.f64)) |
(/.f64 (pow.f64 a 2) (PI.f64)) |
| Outputs |
|---|
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) |
(/.f64 (*.f64 -1/2 (PI.f64)) (pow.f64 a 3)) |
(/.f64 -1/2 (/.f64 (pow.f64 a 3) (PI.f64))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b)))) |
(*.f64 (/.f64 1/2 (*.f64 a a)) (/.f64 (PI.f64) b)) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b)))) |
(*.f64 (/.f64 1/2 (*.f64 a a)) (/.f64 (PI.f64) b)) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b)))) |
(*.f64 (/.f64 1/2 (*.f64 a a)) (/.f64 (PI.f64) b)) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) |
(/.f64 (*.f64 -1/2 (PI.f64)) (pow.f64 a 3)) |
(/.f64 -1/2 (/.f64 (pow.f64 a 3) (PI.f64))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) |
(/.f64 (*.f64 -1/2 (PI.f64)) (pow.f64 a 3)) |
(/.f64 -1/2 (/.f64 (pow.f64 a 3) (PI.f64))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(/.f64 (*.f64 -1/2 (PI.f64)) (*.f64 a a)) |
(*.f64 (/.f64 -1/2 a) (/.f64 (PI.f64) a)) |
(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) a)) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(/.f64 (*.f64 -1/2 (PI.f64)) (*.f64 a a)) |
(*.f64 (/.f64 -1/2 a) (/.f64 (PI.f64) a)) |
(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) a)) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(/.f64 (*.f64 -1/2 (PI.f64)) (*.f64 a a)) |
(*.f64 (/.f64 -1/2 a) (/.f64 (PI.f64) a)) |
(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) a)) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(/.f64 (*.f64 -1/2 (PI.f64)) (*.f64 a a)) |
(*.f64 (/.f64 -1/2 a) (/.f64 (PI.f64) a)) |
(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) a)) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(/.f64 (*.f64 -1/2 (PI.f64)) (*.f64 a a)) |
(*.f64 (/.f64 -1/2 a) (/.f64 (PI.f64) a)) |
(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) a)) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(/.f64 (*.f64 -1/2 (PI.f64)) (*.f64 a a)) |
(*.f64 (/.f64 -1/2 a) (/.f64 (PI.f64) a)) |
(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) a)) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(/.f64 (*.f64 -1/2 (PI.f64)) (*.f64 a a)) |
(*.f64 (/.f64 -1/2 a) (/.f64 (PI.f64) a)) |
(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) a)) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(/.f64 (*.f64 -1/2 (PI.f64)) (*.f64 a a)) |
(*.f64 (/.f64 -1/2 a) (/.f64 (PI.f64) a)) |
(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) a)) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(/.f64 (*.f64 -1/2 (PI.f64)) (*.f64 a a)) |
(*.f64 (/.f64 -1/2 a) (/.f64 (PI.f64) a)) |
(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) a)) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(/.f64 (*.f64 -1/2 (PI.f64)) (*.f64 a a)) |
(*.f64 (/.f64 -1/2 a) (/.f64 (PI.f64) a)) |
(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) a)) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(/.f64 (*.f64 -1/2 (PI.f64)) (*.f64 a a)) |
(*.f64 (/.f64 -1/2 a) (/.f64 (PI.f64) a)) |
(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) a)) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(/.f64 (*.f64 -1/2 (PI.f64)) (*.f64 a a)) |
(*.f64 (/.f64 -1/2 a) (/.f64 (PI.f64) a)) |
(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) a)) |
(/.f64 (pow.f64 a 2) (PI.f64)) |
(/.f64 (*.f64 a a) (PI.f64)) |
(/.f64 a (/.f64 (PI.f64) a)) |
(*.f64 (/.f64 a (PI.f64)) a) |
(*.f64 a (/.f64 a (PI.f64))) |
(/.f64 (pow.f64 a 2) (PI.f64)) |
(/.f64 (*.f64 a a) (PI.f64)) |
(/.f64 a (/.f64 (PI.f64) a)) |
(*.f64 (/.f64 a (PI.f64)) a) |
(*.f64 a (/.f64 a (PI.f64))) |
(/.f64 (pow.f64 a 2) (PI.f64)) |
(/.f64 (*.f64 a a) (PI.f64)) |
(/.f64 a (/.f64 (PI.f64) a)) |
(*.f64 (/.f64 a (PI.f64)) a) |
(*.f64 a (/.f64 a (PI.f64))) |
(/.f64 (pow.f64 a 2) (PI.f64)) |
(/.f64 (*.f64 a a) (PI.f64)) |
(/.f64 a (/.f64 (PI.f64) a)) |
(*.f64 (/.f64 a (PI.f64)) a) |
(*.f64 a (/.f64 a (PI.f64))) |
(/.f64 (pow.f64 a 2) (PI.f64)) |
(/.f64 (*.f64 a a) (PI.f64)) |
(/.f64 a (/.f64 (PI.f64) a)) |
(*.f64 (/.f64 a (PI.f64)) a) |
(*.f64 a (/.f64 a (PI.f64))) |
(/.f64 (pow.f64 a 2) (PI.f64)) |
(/.f64 (*.f64 a a) (PI.f64)) |
(/.f64 a (/.f64 (PI.f64) a)) |
(*.f64 (/.f64 a (PI.f64)) a) |
(*.f64 a (/.f64 a (PI.f64))) |
(/.f64 (pow.f64 a 2) (PI.f64)) |
(/.f64 (*.f64 a a) (PI.f64)) |
(/.f64 a (/.f64 (PI.f64) a)) |
(*.f64 (/.f64 a (PI.f64)) a) |
(*.f64 a (/.f64 a (PI.f64))) |
(/.f64 (pow.f64 a 2) (PI.f64)) |
(/.f64 (*.f64 a a) (PI.f64)) |
(/.f64 a (/.f64 (PI.f64) a)) |
(*.f64 (/.f64 a (PI.f64)) a) |
(*.f64 a (/.f64 a (PI.f64))) |
(/.f64 (pow.f64 a 2) (PI.f64)) |
(/.f64 (*.f64 a a) (PI.f64)) |
(/.f64 a (/.f64 (PI.f64) a)) |
(*.f64 (/.f64 a (PI.f64)) a) |
(*.f64 a (/.f64 a (PI.f64))) |
(/.f64 (pow.f64 a 2) (PI.f64)) |
(/.f64 (*.f64 a a) (PI.f64)) |
(/.f64 a (/.f64 (PI.f64) a)) |
(*.f64 (/.f64 a (PI.f64)) a) |
(*.f64 a (/.f64 a (PI.f64))) |
(/.f64 (pow.f64 a 2) (PI.f64)) |
(/.f64 (*.f64 a a) (PI.f64)) |
(/.f64 a (/.f64 (PI.f64) a)) |
(*.f64 (/.f64 a (PI.f64)) a) |
(*.f64 a (/.f64 a (PI.f64))) |
(/.f64 (pow.f64 a 2) (PI.f64)) |
(/.f64 (*.f64 a a) (PI.f64)) |
(/.f64 a (/.f64 (PI.f64) a)) |
(*.f64 (/.f64 a (PI.f64)) a) |
(*.f64 a (/.f64 a (PI.f64))) |
Compiled 10754 to 5741 computations (46.6% saved)
18 alts after pruning (16 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 638 | 8 | 646 |
| Fresh | 4 | 8 | 12 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 2 | 5 |
| Total | 646 | 18 | 664 |
| Status | Error | Program |
|---|---|---|
| ✓ | 24.9b | (/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 1 b) (*.f64 a b))) 2) |
| ▶ | 31.9b | (*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
| 26.1b | (/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) | |
| 0.9b | (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b))) 2) | |
| ▶ | 0.3b | (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))) |
| 29.5b | (/.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) a) a) | |
| 4.7b | (*.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (+.f64 b a))) (/.f64 1 a)) | |
| 24.9b | (*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b)) | |
| ▶ | 29.4b | (/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b b)) |
| 1.0b | (/.f64 1 (/.f64 (-.f64 b a) (*.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (+.f64 (/.f64 1 a) (/.f64 -1 b))))) | |
| 24.9b | (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 a b)) b) | |
| ✓ | 15.1b | (/.f64 (*.f64 (PI.f64) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (*.f64 b b) (*.f64 a a)))) 2) |
| ▶ | 29.5b | (/.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) a) |
| 32.0b | (*.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (*.f64 a a))) | |
| 26.2b | (/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b a)) | |
| ▶ | 31.7b | (/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) 2) |
| 24.9b | (/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2) | |
| 24.9b | (/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) 2) |
Compiled 442 to 321 computations (27.4% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1/2 (+.f64 b a)) |
| ✓ | 0.3b | (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))) |
| ✓ | 0.5b | (/.f64 (PI.f64) (*.f64 b a)) |
Compiled 33 to 12 computations (63.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | 0 | (/.f64 1/2 (+.f64 b a)) |
| 0.0ms | b | @ | inf | (/.f64 1/2 (+.f64 b a)) |
| 0.0ms | a | @ | 0 | (/.f64 1/2 (+.f64 b a)) |
| 0.0ms | a | @ | inf | (/.f64 1/2 (+.f64 b a)) |
| 0.0ms | b | @ | -inf | (/.f64 1/2 (+.f64 b a)) |
| 1× | batch-egg-rewrite |
| 644× | log-prod_binary64 |
| 610× | prod-diff_binary64 |
| 237× | log-div_binary64 |
| 221× | pow1/3_binary64 |
| 215× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 32 |
| 1 | 230 | 32 |
| 2 | 3503 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (PI.f64) (*.f64 b a)) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))) |
(/.f64 1/2 (+.f64 b a)) |
| Outputs |
|---|
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1)))))) |
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/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) 1) (*.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (cbrt.f64 (pow.f64 (*.f64 b a) 2))) (cbrt.f64 (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (sqrt.f64 (*.f64 b a))) (sqrt.f64 (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) 1/2) 1) (+.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) 1/2) (cbrt.f64 (pow.f64 (+.f64 b a) 2))) (cbrt.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) 1/2) (sqrt.f64 (+.f64 b a))) (sqrt.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 1/2 (+.f64 b a))) (*.f64 b (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (+.f64 b a))) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (/.f64 (/.f64 (PI.f64) b) a)) (neg.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) -1/2) (neg.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 (+.f64 b a)) (neg.f64 (PI.f64))) (*.f64 b (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 (+.f64 b a)) (/.f64 (PI.f64) b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) 1/2) (+.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) 1/2) (+.f64 b a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) 1/2) (+.f64 b a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) 1/2) (+.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (PI.f64) b) a) 3) (pow.f64 (/.f64 1/2 (+.f64 b a)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 1/2 (+.f64 b a)) 3) (pow.f64 (/.f64 (/.f64 (PI.f64) b) a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 b (/.f64 (PI.f64) a)) (*.f64 (+.f64 b a) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (+.f64 b a) 2) (/.f64 b (/.f64 (PI.f64) a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a (*.f64 b (+.f64 b a))) (*.f64 (PI.f64) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 b a) (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 b a) (*.f64 (/.f64 (/.f64 (PI.f64) b) a) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) 1/2) (+.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (/.f64 (PI.f64) b) a)) (/.f64 1/2 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) 1/2) (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) 1/2) (+.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (PI.f64) b) a) 3) (pow.f64 (/.f64 1/2 (+.f64 b a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 (+.f64 b a)) 3) (pow.f64 (/.f64 (/.f64 (PI.f64) b) a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) 1/2) (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) 1/2) (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) 1/2) (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) 1/2) (+.f64 b a))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/2 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1/2 (+.f64 b a)))) (cbrt.f64 (exp.f64 (/.f64 1/2 (+.f64 b a)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/2 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/2 (+.f64 b a))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/2 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (+.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/2 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 (+.f64 b a))) (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 b a))) 2) (cbrt.f64 (/.f64 1/2 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/2 (+.f64 b a))) (sqrt.f64 (/.f64 1/2 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (neg.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 b a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 (pow.f64 b 3) (pow.f64 a 3))) (fma.f64 a (-.f64 a b) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (+.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/2 (+.f64 b a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 b a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/2 (+.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 b a) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (+.f64 b a) 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 (+.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/2 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/2 (+.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/2 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/2 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/2 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/2 (+.f64 b a))) 1)))))) |
| 1× | egg-herbie |
| 723× | associate-*l*_binary64 |
| 504× | associate-/l/_binary64 |
| 425× | associate-/r/_binary64 |
| 386× | associate-+l+_binary64 |
| 352× | *-commutative_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 1506 |
| 1 | 241 | 1494 |
| 2 | 731 | 1410 |
| 3 | 2700 | 1368 |
| 4 | 5960 | 1308 |
| 5 | 6451 | 1308 |
| 6 | 6875 | 1308 |
| 7 | 7979 | 1308 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (PI.f64) (*.f64 a b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) (PI.f64)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a (PI.f64)) (pow.f64 b 4))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2))))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))) |
(/.f64 1/2 a) |
(+.f64 (*.f64 -1/2 (/.f64 b (pow.f64 a 2))) (*.f64 1/2 (/.f64 1 a))) |
(+.f64 (*.f64 -1/2 (/.f64 b (pow.f64 a 2))) (+.f64 (*.f64 1/2 (/.f64 1 a)) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 3))))) |
(+.f64 (*.f64 -1/2 (/.f64 b (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 3) (pow.f64 a 4))) (+.f64 (*.f64 1/2 (/.f64 1 a)) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 3)))))) |
(/.f64 1/2 b) |
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 b 2))) (*.f64 1/2 (/.f64 1 b))) |
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) (*.f64 1/2 (/.f64 1 b)))) |
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (pow.f64 b 4))) (*.f64 1/2 (/.f64 1 b))))) |
(/.f64 1/2 b) |
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 b 2))) (*.f64 1/2 (/.f64 1 b))) |
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) (*.f64 1/2 (/.f64 1 b)))) |
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (pow.f64 b 4))) (*.f64 1/2 (/.f64 1 b))))) |
(/.f64 1/2 b) |
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 b 2))) (*.f64 1/2 (/.f64 1 b))) |
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) (*.f64 1/2 (/.f64 1 b)))) |
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (pow.f64 b 4))) (*.f64 1/2 (/.f64 1 b))))) |
(/.f64 1/2 a) |
(+.f64 (*.f64 -1/2 (/.f64 b (pow.f64 a 2))) (*.f64 1/2 (/.f64 1 a))) |
(+.f64 (*.f64 -1/2 (/.f64 b (pow.f64 a 2))) (+.f64 (*.f64 1/2 (/.f64 1 a)) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 3))))) |
(+.f64 (*.f64 -1/2 (/.f64 b (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 3) (pow.f64 a 4))) (+.f64 (*.f64 1/2 (/.f64 1 a)) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 3)))))) |
(/.f64 1/2 a) |
(+.f64 (*.f64 -1/2 (/.f64 b (pow.f64 a 2))) (*.f64 1/2 (/.f64 1 a))) |
(+.f64 (*.f64 -1/2 (/.f64 b (pow.f64 a 2))) (+.f64 (*.f64 1/2 (/.f64 1 a)) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 3))))) |
(+.f64 (*.f64 -1/2 (/.f64 b (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 3) (pow.f64 a 4))) (+.f64 (*.f64 1/2 (/.f64 1 a)) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 3)))))) |
| Outputs |
|---|
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
(/.f64 (/.f64 (PI.f64) a) b) |
(/.f64 (PI.f64) (*.f64 a b)) |
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(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) (*.f64 1/2 (/.f64 b (*.f64 a a))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 5) (PI.f64))) (*.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) b))) (*.f64 -1/2 (/.f64 (PI.f64) (/.f64 (pow.f64 a 5) (*.f64 b b)))))) |
(fma.f64 -1/2 (*.f64 (PI.f64) (/.f64 (*.f64 b b) (pow.f64 a 5))) (fma.f64 1/2 (*.f64 (PI.f64) (/.f64 b (pow.f64 a 4))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))) |
(fma.f64 -1/2 (*.f64 (PI.f64) (*.f64 (/.f64 b (pow.f64 a 5)) b)) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) (*.f64 1/2 (/.f64 b (*.f64 a a)))))) |
(+.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) (*.f64 (*.f64 (PI.f64) b) (+.f64 (/.f64 1/2 (pow.f64 a 4)) (/.f64 -1/2 (/.f64 (pow.f64 a 5) b))))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 b (*.f64 a a)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b)))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) b) (/.f64 1/2 a)) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))))) |
(fma.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64)))))) |
(fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) b))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)))) |
(fma.f64 1/2 (*.f64 (PI.f64) (/.f64 b (pow.f64 a 4))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) (*.f64 1/2 (/.f64 b (*.f64 a a))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b 2) (PI.f64)) (pow.f64 a 5))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) (*.f64 1/2 (/.f64 (*.f64 b (PI.f64)) (pow.f64 a 4)))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 (*.f64 b b) (/.f64 (pow.f64 a 5) (PI.f64))) (*.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 a a))) (/.f64 b (/.f64 (pow.f64 a 4) (PI.f64))))))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (fma.f64 1/2 (+.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) (/.f64 (PI.f64) (/.f64 (pow.f64 a 4) b))) (*.f64 -1/2 (/.f64 (PI.f64) (/.f64 (pow.f64 a 5) (*.f64 b b)))))) |
(fma.f64 -1/2 (*.f64 (PI.f64) (/.f64 (*.f64 b b) (pow.f64 a 5))) (fma.f64 1/2 (*.f64 (PI.f64) (/.f64 b (pow.f64 a 4))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))) |
(fma.f64 -1/2 (*.f64 (PI.f64) (*.f64 (/.f64 b (pow.f64 a 5)) b)) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) (*.f64 1/2 (/.f64 b (*.f64 a a)))))) |
(+.f64 (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) (*.f64 (*.f64 (PI.f64) b) (+.f64 (/.f64 1/2 (pow.f64 a 4)) (/.f64 -1/2 (/.f64 (pow.f64 a 5) b))))) |
(/.f64 1/2 a) |
(+.f64 (*.f64 -1/2 (/.f64 b (pow.f64 a 2))) (*.f64 1/2 (/.f64 1 a))) |
(fma.f64 -1/2 (/.f64 b (*.f64 a a)) (/.f64 1/2 a)) |
(+.f64 (*.f64 -1/2 (/.f64 b (pow.f64 a 2))) (+.f64 (*.f64 1/2 (/.f64 1 a)) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 3))))) |
(+.f64 (fma.f64 -1/2 (/.f64 b (*.f64 a a)) (/.f64 1/2 a)) (*.f64 1/2 (/.f64 (*.f64 b b) (pow.f64 a 3)))) |
(fma.f64 -1/2 (/.f64 b (*.f64 a a)) (fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 3) b)) (/.f64 1/2 a))) |
(fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 3) b)) (fma.f64 -1/2 (/.f64 b (*.f64 a a)) (/.f64 1/2 a))) |
(+.f64 (/.f64 1/2 a) (*.f64 (/.f64 b (*.f64 a a)) (+.f64 -1/2 (/.f64 (*.f64 b 1/2) a)))) |
(+.f64 (*.f64 -1/2 (/.f64 b (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 3) (pow.f64 a 4))) (+.f64 (*.f64 1/2 (/.f64 1 a)) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 3)))))) |
(fma.f64 -1/2 (/.f64 b (*.f64 a a)) (fma.f64 -1/2 (/.f64 (pow.f64 b 3) (pow.f64 a 4)) (+.f64 (/.f64 1/2 a) (*.f64 1/2 (/.f64 (*.f64 b b) (pow.f64 a 3)))))) |
(fma.f64 -1/2 (/.f64 b (*.f64 a a)) (fma.f64 -1/2 (/.f64 (pow.f64 b 3) (pow.f64 a 4)) (fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 3) b)) (/.f64 1/2 a)))) |
(fma.f64 -1/2 (+.f64 (/.f64 b (*.f64 a a)) (/.f64 (pow.f64 b 3) (pow.f64 a 4))) (fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 3) b)) (/.f64 1/2 a))) |
(+.f64 (fma.f64 -1/2 (/.f64 b (*.f64 a a)) (/.f64 1/2 a)) (*.f64 (*.f64 b (/.f64 b (pow.f64 a 3))) (+.f64 1/2 (*.f64 b (/.f64 -1/2 a))))) |
(*.f64 (+.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) (fma.f64 -1/2 (/.f64 b (*.f64 a a)) (/.f64 1/2 a))) |
(/.f64 1/2 b) |
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 b 2))) (*.f64 1/2 (/.f64 1 b))) |
(fma.f64 -1/2 (/.f64 a (*.f64 b b)) (/.f64 1/2 b)) |
(fma.f64 -1/2 (/.f64 (/.f64 a b) b) (/.f64 1/2 b)) |
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) (*.f64 1/2 (/.f64 1 b)))) |
(fma.f64 -1/2 (/.f64 a (*.f64 b b)) (fma.f64 1/2 (/.f64 (*.f64 a a) (pow.f64 b 3)) (/.f64 1/2 b))) |
(fma.f64 1/2 (/.f64 (*.f64 a a) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 a (*.f64 b b)) (/.f64 1/2 b))) |
(+.f64 (/.f64 1/2 b) (*.f64 (/.f64 (/.f64 a b) b) (+.f64 -1/2 (/.f64 (*.f64 a 1/2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (pow.f64 b 4))) (*.f64 1/2 (/.f64 1 b))))) |
(fma.f64 -1/2 (/.f64 a (*.f64 b b)) (fma.f64 1/2 (/.f64 (*.f64 a a) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (/.f64 1/2 b)))) |
(fma.f64 1/2 (/.f64 (*.f64 a a) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 a (*.f64 b b)) (fma.f64 -1/2 (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (/.f64 1/2 b)))) |
(+.f64 (fma.f64 -1/2 (/.f64 (/.f64 a b) b) (/.f64 1/2 b)) (*.f64 (*.f64 a (/.f64 a (pow.f64 b 3))) (+.f64 1/2 (*.f64 a (/.f64 -1/2 b))))) |
(*.f64 (+.f64 1 (*.f64 a (/.f64 (/.f64 a b) b))) (fma.f64 -1/2 (/.f64 (/.f64 a b) b) (/.f64 1/2 b))) |
(/.f64 1/2 b) |
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 b 2))) (*.f64 1/2 (/.f64 1 b))) |
(fma.f64 -1/2 (/.f64 a (*.f64 b b)) (/.f64 1/2 b)) |
(fma.f64 -1/2 (/.f64 (/.f64 a b) b) (/.f64 1/2 b)) |
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) (*.f64 1/2 (/.f64 1 b)))) |
(fma.f64 -1/2 (/.f64 a (*.f64 b b)) (fma.f64 1/2 (/.f64 (*.f64 a a) (pow.f64 b 3)) (/.f64 1/2 b))) |
(fma.f64 1/2 (/.f64 (*.f64 a a) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 a (*.f64 b b)) (/.f64 1/2 b))) |
(+.f64 (/.f64 1/2 b) (*.f64 (/.f64 (/.f64 a b) b) (+.f64 -1/2 (/.f64 (*.f64 a 1/2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (pow.f64 b 4))) (*.f64 1/2 (/.f64 1 b))))) |
(fma.f64 -1/2 (/.f64 a (*.f64 b b)) (fma.f64 1/2 (/.f64 (*.f64 a a) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (/.f64 1/2 b)))) |
(fma.f64 1/2 (/.f64 (*.f64 a a) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 a (*.f64 b b)) (fma.f64 -1/2 (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (/.f64 1/2 b)))) |
(+.f64 (fma.f64 -1/2 (/.f64 (/.f64 a b) b) (/.f64 1/2 b)) (*.f64 (*.f64 a (/.f64 a (pow.f64 b 3))) (+.f64 1/2 (*.f64 a (/.f64 -1/2 b))))) |
(*.f64 (+.f64 1 (*.f64 a (/.f64 (/.f64 a b) b))) (fma.f64 -1/2 (/.f64 (/.f64 a b) b) (/.f64 1/2 b))) |
(/.f64 1/2 b) |
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 b 2))) (*.f64 1/2 (/.f64 1 b))) |
(fma.f64 -1/2 (/.f64 a (*.f64 b b)) (/.f64 1/2 b)) |
(fma.f64 -1/2 (/.f64 (/.f64 a b) b) (/.f64 1/2 b)) |
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) (*.f64 1/2 (/.f64 1 b)))) |
(fma.f64 -1/2 (/.f64 a (*.f64 b b)) (fma.f64 1/2 (/.f64 (*.f64 a a) (pow.f64 b 3)) (/.f64 1/2 b))) |
(fma.f64 1/2 (/.f64 (*.f64 a a) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 a (*.f64 b b)) (/.f64 1/2 b))) |
(+.f64 (/.f64 1/2 b) (*.f64 (/.f64 (/.f64 a b) b) (+.f64 -1/2 (/.f64 (*.f64 a 1/2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a 3) (pow.f64 b 4))) (*.f64 1/2 (/.f64 1 b))))) |
(fma.f64 -1/2 (/.f64 a (*.f64 b b)) (fma.f64 1/2 (/.f64 (*.f64 a a) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (/.f64 1/2 b)))) |
(fma.f64 1/2 (/.f64 (*.f64 a a) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 a (*.f64 b b)) (fma.f64 -1/2 (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (/.f64 1/2 b)))) |
(+.f64 (fma.f64 -1/2 (/.f64 (/.f64 a b) b) (/.f64 1/2 b)) (*.f64 (*.f64 a (/.f64 a (pow.f64 b 3))) (+.f64 1/2 (*.f64 a (/.f64 -1/2 b))))) |
(*.f64 (+.f64 1 (*.f64 a (/.f64 (/.f64 a b) b))) (fma.f64 -1/2 (/.f64 (/.f64 a b) b) (/.f64 1/2 b))) |
(/.f64 1/2 a) |
(+.f64 (*.f64 -1/2 (/.f64 b (pow.f64 a 2))) (*.f64 1/2 (/.f64 1 a))) |
(fma.f64 -1/2 (/.f64 b (*.f64 a a)) (/.f64 1/2 a)) |
(+.f64 (*.f64 -1/2 (/.f64 b (pow.f64 a 2))) (+.f64 (*.f64 1/2 (/.f64 1 a)) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 3))))) |
(+.f64 (fma.f64 -1/2 (/.f64 b (*.f64 a a)) (/.f64 1/2 a)) (*.f64 1/2 (/.f64 (*.f64 b b) (pow.f64 a 3)))) |
(fma.f64 -1/2 (/.f64 b (*.f64 a a)) (fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 3) b)) (/.f64 1/2 a))) |
(fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 3) b)) (fma.f64 -1/2 (/.f64 b (*.f64 a a)) (/.f64 1/2 a))) |
(+.f64 (/.f64 1/2 a) (*.f64 (/.f64 b (*.f64 a a)) (+.f64 -1/2 (/.f64 (*.f64 b 1/2) a)))) |
(+.f64 (*.f64 -1/2 (/.f64 b (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 3) (pow.f64 a 4))) (+.f64 (*.f64 1/2 (/.f64 1 a)) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 3)))))) |
(fma.f64 -1/2 (/.f64 b (*.f64 a a)) (fma.f64 -1/2 (/.f64 (pow.f64 b 3) (pow.f64 a 4)) (+.f64 (/.f64 1/2 a) (*.f64 1/2 (/.f64 (*.f64 b b) (pow.f64 a 3)))))) |
(fma.f64 -1/2 (/.f64 b (*.f64 a a)) (fma.f64 -1/2 (/.f64 (pow.f64 b 3) (pow.f64 a 4)) (fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 3) b)) (/.f64 1/2 a)))) |
(fma.f64 -1/2 (+.f64 (/.f64 b (*.f64 a a)) (/.f64 (pow.f64 b 3) (pow.f64 a 4))) (fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 3) b)) (/.f64 1/2 a))) |
(+.f64 (fma.f64 -1/2 (/.f64 b (*.f64 a a)) (/.f64 1/2 a)) (*.f64 (*.f64 b (/.f64 b (pow.f64 a 3))) (+.f64 1/2 (*.f64 b (/.f64 -1/2 a))))) |
(*.f64 (+.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) (fma.f64 -1/2 (/.f64 b (*.f64 a a)) (/.f64 1/2 a))) |
(/.f64 1/2 a) |
(+.f64 (*.f64 -1/2 (/.f64 b (pow.f64 a 2))) (*.f64 1/2 (/.f64 1 a))) |
(fma.f64 -1/2 (/.f64 b (*.f64 a a)) (/.f64 1/2 a)) |
(+.f64 (*.f64 -1/2 (/.f64 b (pow.f64 a 2))) (+.f64 (*.f64 1/2 (/.f64 1 a)) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 3))))) |
(+.f64 (fma.f64 -1/2 (/.f64 b (*.f64 a a)) (/.f64 1/2 a)) (*.f64 1/2 (/.f64 (*.f64 b b) (pow.f64 a 3)))) |
(fma.f64 -1/2 (/.f64 b (*.f64 a a)) (fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 3) b)) (/.f64 1/2 a))) |
(fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 3) b)) (fma.f64 -1/2 (/.f64 b (*.f64 a a)) (/.f64 1/2 a))) |
(+.f64 (/.f64 1/2 a) (*.f64 (/.f64 b (*.f64 a a)) (+.f64 -1/2 (/.f64 (*.f64 b 1/2) a)))) |
(+.f64 (*.f64 -1/2 (/.f64 b (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 3) (pow.f64 a 4))) (+.f64 (*.f64 1/2 (/.f64 1 a)) (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 3)))))) |
(fma.f64 -1/2 (/.f64 b (*.f64 a a)) (fma.f64 -1/2 (/.f64 (pow.f64 b 3) (pow.f64 a 4)) (+.f64 (/.f64 1/2 a) (*.f64 1/2 (/.f64 (*.f64 b b) (pow.f64 a 3)))))) |
(fma.f64 -1/2 (/.f64 b (*.f64 a a)) (fma.f64 -1/2 (/.f64 (pow.f64 b 3) (pow.f64 a 4)) (fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 3) b)) (/.f64 1/2 a)))) |
(fma.f64 -1/2 (+.f64 (/.f64 b (*.f64 a a)) (/.f64 (pow.f64 b 3) (pow.f64 a 4))) (fma.f64 1/2 (/.f64 b (/.f64 (pow.f64 a 3) b)) (/.f64 1/2 a))) |
(+.f64 (fma.f64 -1/2 (/.f64 b (*.f64 a a)) (/.f64 1/2 a)) (*.f64 (*.f64 b (/.f64 b (pow.f64 a 3))) (+.f64 1/2 (*.f64 b (/.f64 -1/2 a))))) |
(*.f64 (+.f64 1 (*.f64 b (/.f64 b (*.f64 a a)))) (fma.f64 -1/2 (/.f64 b (*.f64 a a)) (/.f64 1/2 a))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
| ✓ | 8.6b | (/.f64 (/.f64 1/2 b) (*.f64 a a)) |
Compiled 28 to 14 computations (50% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | -inf | (*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
| 1.0ms | b | @ | 0 | (/.f64 (/.f64 1/2 b) (*.f64 a a)) |
| 1.0ms | b | @ | 0 | (*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
| 1.0ms | b | @ | inf | (/.f64 (/.f64 1/2 b) (*.f64 a a)) |
| 1.0ms | a | @ | 0 | (*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
| 1× | batch-egg-rewrite |
| 511× | log-prod_binary64 |
| 421× | prod-exp_binary64 |
| 391× | exp-prod_binary64 |
| 329× | pow-prod-down_binary64 |
| 257× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 24 |
| 1 | 197 | 24 |
| 2 | 2708 | 24 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 1/2 b) (*.f64 a a)) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 b)) (pow.f64 a -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 b)) (pow.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 b)) (pow.f64 a -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 b)) (pow.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (/.f64 1 b) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 1 b) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 b) (pow.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) (*.f64 (cbrt.f64 a) a)) (/.f64 (sqrt.f64 (/.f64 1/2 b)) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) a) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) a) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 a a) (*.f64 b 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 1/2 b) 3) (pow.f64 a 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x 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-2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) a) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 1/2 b) 3) (pow.f64 a 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) a) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (/.f64 1/2 b)) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 a) (log.f64 (*.f64 b 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 1/2 b)) 1) (*.f64 2 (log.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 1/2 b)) (*.f64 (log.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 1/2 b)) 1) (*.f64 (log.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 1/2 b)) (*.f64 (*.f64 2 (log.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 1/2 b)) 1) (*.f64 (*.f64 2 (log.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 1/2 (*.f64 a b))) (*.f64 (log.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 1/2 b)) 1) (*.f64 -2 (log.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 -2 (log.f64 a)) (*.f64 (log.f64 (/.f64 1/2 b)) 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (/.f64 1/2 b) (pow.f64 a -2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (/.f64 1/2 b) (pow.f64 a -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (/.f64 1/2 b) (pow.f64 a -2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (/.f64 1/2 b) (pow.f64 a -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (*.f64 (*.f64 a a) (*.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 a a) (/.f64 (PI.f64) (*.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (PI.f64) (*.f64 b 2)) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (PI.f64) (*.f64 b 2))) (*.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b 2)) a) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b 2)) 1) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b 2)) (*.f64 (cbrt.f64 a) a)) (pow.f64 (cbrt.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (PI.f64)) (*.f64 b (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1/2 b) (PI.f64)) (*.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 (*.f64 a b)) (PI.f64)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (/.f64 -1/2 b)) (*.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (/.f64 1/2 (*.f64 a b))) a)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 b 2))) a) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 b 2))) a) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 b 2))) a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a a) (/.f64 (PI.f64) (*.f64 b 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) (PI.f64)))) 2)) (cbrt.f64 (log.f64 (*.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) (PI.f64))))) (sqrt.f64 (log.f64 (*.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 b 2))) a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (/.f64 1/2 b) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 b 2))) a) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 b 2))) a) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 b 2))) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)) (PI.f64))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (PI.f64)) 1) (fma.f64 2 (log.f64 a) (log.f64 (*.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 (PI.f64) (*.f64 b 2))) (*.f64 (log.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 (PI.f64) (*.f64 b 2))) (*.f64 (*.f64 2 (log.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2))) 1) (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2))) (*.f64 (log.f64 (PI.f64)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2))) 1) (*.f64 (log.f64 (PI.f64)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) 1) (log.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) 1) (*.f64 (log.f64 (*.f64 (/.f64 1/2 b) (pow.f64 a -2))) 1))))))) |
| 1× | egg-herbie |
| 861× | associate-/l/_binary64 |
| 623× | *-commutative_binary64 |
| 579× | sqr-pow_binary64 |
| 562× | associate-*l/_binary64 |
| 452× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 576 |
| 1 | 24 | 576 |
| 2 | 56 | 576 |
| 3 | 151 | 576 |
| 4 | 499 | 576 |
| 5 | 2016 | 576 |
| 6 | 2787 | 576 |
| 7 | 3201 | 576 |
| 8 | 3316 | 576 |
| 9 | 3466 | 576 |
| 10 | 3644 | 576 |
| 11 | 5477 | 576 |
| 12 | 6021 | 576 |
| 13 | 6391 | 576 |
| 14 | 6847 | 576 |
| 15 | 7428 | 576 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
| Outputs |
|---|
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (*.f64 a a) b)) |
(/.f64 1/2 (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (/.f64 1/2 a) a) b) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (*.f64 a a) b)) |
(/.f64 1/2 (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (/.f64 1/2 a) a) b) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (*.f64 a a) b)) |
(/.f64 1/2 (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (/.f64 1/2 a) a) b) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (*.f64 a a) b)) |
(/.f64 1/2 (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (/.f64 1/2 a) a) b) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (*.f64 a a) b)) |
(/.f64 1/2 (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (/.f64 1/2 a) a) b) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (*.f64 a a) b)) |
(/.f64 1/2 (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (/.f64 1/2 a) a) b) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (*.f64 a a) b)) |
(/.f64 1/2 (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (/.f64 1/2 a) a) b) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (*.f64 a a) b)) |
(/.f64 1/2 (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (/.f64 1/2 a) a) b) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (*.f64 a a) b)) |
(/.f64 1/2 (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (/.f64 1/2 a) a) b) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (*.f64 a a) b)) |
(/.f64 1/2 (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (/.f64 1/2 a) a) b) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (*.f64 a a) b)) |
(/.f64 1/2 (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (/.f64 1/2 a) a) b) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (*.f64 a a) b)) |
(/.f64 1/2 (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (/.f64 1/2 a) a) b) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (*.f64 a a) b)) |
(/.f64 1/2 (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (/.f64 1/2 a) a) b) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (*.f64 a a) b)) |
(/.f64 1/2 (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (/.f64 1/2 a) a) b) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (*.f64 a a) b)) |
(/.f64 1/2 (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (/.f64 1/2 a) a) b) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (*.f64 a a) b)) |
(/.f64 1/2 (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (/.f64 1/2 a) a) b) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (*.f64 a a) b)) |
(/.f64 1/2 (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (/.f64 1/2 a) a) b) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (*.f64 a a) b)) |
(/.f64 1/2 (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (/.f64 1/2 a) a) b) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (*.f64 a a) b)) |
(/.f64 1/2 (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (/.f64 1/2 a) a) b) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (*.f64 a a) b)) |
(/.f64 1/2 (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (/.f64 1/2 a) a) b) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (*.f64 a a) b)) |
(/.f64 1/2 (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (/.f64 1/2 a) a) b) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (*.f64 a a) b)) |
(/.f64 1/2 (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (/.f64 1/2 a) a) b) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (*.f64 a a) b)) |
(/.f64 1/2 (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (/.f64 1/2 a) a) b) |
(/.f64 1/2 (*.f64 (pow.f64 a 2) b)) |
(/.f64 1/2 (*.f64 (*.f64 a a) b)) |
(/.f64 1/2 (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (/.f64 1/2 a) a) b) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a)) |
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a)) |
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a)) |
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a)) |
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a)) |
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a)) |
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a)) |
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a)) |
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a)) |
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a)) |
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a)) |
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a)) |
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a)) |
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a)) |
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a)) |
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a)) |
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a)) |
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a)) |
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a)) |
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a)) |
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a)) |
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a)) |
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a)) |
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 a b)) a)) |
(*.f64 (/.f64 (/.f64 1/2 a) a) (/.f64 (PI.f64) b)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (/.f64 a (PI.f64)) | |
| ✓ | 0.3b | (/.f64 1/2 (/.f64 a (PI.f64))) |
| ✓ | 9.0b | (/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b b)) |
Compiled 26 to 11 computations (57.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | a | @ | 0 | (/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b b)) |
| 0.0ms | a | @ | -inf | (/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b b)) |
| 0.0ms | a | @ | inf | (/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b b)) |
| 0.0ms | a | @ | inf | (/.f64 1/2 (/.f64 a (PI.f64))) |
| 0.0ms | b | @ | inf | (/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b b)) |
| 1× | batch-egg-rewrite |
| 553× | log-prod_binary64 |
| 431× | exp-prod_binary64 |
| 316× | pow-prod-down_binary64 |
| 266× | pow2_binary64 |
| 212× | log-div_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 22 |
| 1 | 203 | 22 |
| 2 | 2941 | 22 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b b)) |
(/.f64 1/2 (/.f64 a (PI.f64))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 b -2)) (*.f64 (PI.f64) (/.f64 1/2 a)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 b -2)) (*.f64 (PI.f64) (/.f64 1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 b -2)) (*.f64 (PI.f64) (/.f64 1/2 a))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 b -2)) (*.f64 (PI.f64) (/.f64 1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 (PI.f64) a) (pow.f64 b -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (/.f64 1/2 a)) (pow.f64 b -2))))) (#(struct:change #<rule 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#<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (/.f64 (*.f64 (PI.f64) (/.f64 1/2 a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) 2) b) (/.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (cbrt.f64 b) b)) (/.f64 (/.f64 (PI.f64) a) (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cbrt.f64 b) b)) (/.f64 (*.f64 (PI.f64) (/.f64 1/2 a)) (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) 2) (*.f64 (cbrt.f64 b) b)) (cbrt.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) (*.f64 (cbrt.f64 b) b)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 a) (*.f64 (cbrt.f64 b) b)) (/.f64 (PI.f64) (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) b) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) b) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 b b) (*.f64 (/.f64 a (PI.f64)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 1/2 a)) 3) (pow.f64 b 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (/.f64 a (PI.f64)) 2) (*.f64 b b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 a (PI.f64)) (*.f64 b b)) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 (/.f64 a (PI.f64)) 2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))))) 2)) (cbrt.f64 (log.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))))) (sqrt.f64 (log.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (PI.f64) (/.f64 1/2 a)) (*.f64 b (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 b -2)) (*.f64 (PI.f64) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) b) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 1/2 a)) 3) (pow.f64 b 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) b) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 b b) (*.f64 (/.f64 a (PI.f64)) 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) (*.f64 b b)))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (/.f64 (PI.f64) a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (/.f64 (PI.f64) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (/.f64 (PI.f64) a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (/.f64 (PI.f64) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (/.f64 1/2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (PI.f64) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (PI.f64) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) 2) (cbrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (/.f64 (neg.f64 a) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) a) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (neg.f64 a)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 a) 1) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 a) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 a) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 1/2 a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 1/2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a (PI.f64)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (PI.f64) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 a (PI.f64)) 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 1/2 a)))) 2)) (cbrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 1/2 a))))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 1/2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (/.f64 (PI.f64) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 1/2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 1/2 a)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 1/2 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a (PI.f64)) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (/.f64 1/2 a))) 1) 1)))))) |
| 1× | egg-herbie |
| 754× | associate-*r/_binary64 |
| 743× | associate-/r/_binary64 |
| 621× | *-commutative_binary64 |
| 579× | sqr-pow_binary64 |
| 553× | associate-*l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 432 |
| 1 | 24 | 432 |
| 2 | 52 | 432 |
| 3 | 137 | 432 |
| 4 | 434 | 432 |
| 5 | 1792 | 432 |
| 6 | 3351 | 432 |
| 7 | 4035 | 432 |
| 8 | 4149 | 432 |
| 9 | 4296 | 432 |
| 10 | 4471 | 432 |
| 11 | 4722 | 432 |
| 12 | 5773 | 432 |
| 13 | 6223 | 432 |
| 14 | 6689 | 432 |
| 15 | 7272 | 432 |
| 16 | 7980 | 432 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (pow.f64 b 2)))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 a (*.f64 b b))) |
(*.f64 (/.f64 1/2 a) (/.f64 (PI.f64) (*.f64 b b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 (*.f64 b b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)) |
(/.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 b 1/2)) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(/.f64 (*.f64 1/2 (PI.f64)) a) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(/.f64 (*.f64 1/2 (PI.f64)) a) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(/.f64 (*.f64 1/2 (PI.f64)) a) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(/.f64 (*.f64 1/2 (PI.f64)) a) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(/.f64 (*.f64 1/2 (PI.f64)) a) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(/.f64 (*.f64 1/2 (PI.f64)) a) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(/.f64 (*.f64 1/2 (PI.f64)) a) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(/.f64 (*.f64 1/2 (PI.f64)) a) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(/.f64 (*.f64 1/2 (PI.f64)) a) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(/.f64 (*.f64 1/2 (PI.f64)) a) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(/.f64 (*.f64 1/2 (PI.f64)) a) |
(*.f64 1/2 (/.f64 (PI.f64) a)) |
(/.f64 (*.f64 1/2 (PI.f64)) a) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) 2) |
| ✓ | 0.1b | (/.f64 (/.f64 (PI.f64) a) a) |
| 0.3b | (/.f64 (PI.f64) a) | |
| ✓ | 8.8b | (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) |
Compiled 30 to 9 computations (70% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | 0 | (/.f64 (/.f64 (PI.f64) a) a) |
| 1.0ms | b | @ | -inf | (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) |
| 1.0ms | a | @ | 0 | (/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) 2) |
| 0.0ms | b | @ | 0 | (/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) 2) |
| 0.0ms | b | @ | -inf | (/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) 2) |
| 1× | batch-egg-rewrite |
| 587× | log-prod_binary64 |
| 368× | pow-prod-down_binary64 |
| 275× | pow2_binary64 |
| 271× | log-div_binary64 |
| 195× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 33 |
| 1 | 207 | 33 |
| 2 | 3074 | 33 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) |
(/.f64 (/.f64 (PI.f64) a) a) |
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) 1/2) (*.f64 a b)) (/.f64 (*.f64 (/.f64 (PI.f64) a) 1/2) (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (PI.f64) b) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) b) (pow.f64 a -2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) b) (pow.f64 a -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) b) (pow.f64 a -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) a) (/.f64 1 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (pow.f64 a -2)) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (PI.f64) b) (pow.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (PI.f64) b) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 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(pow.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) 1/2) (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) 1/2) (*.f64 a b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) 1/2) (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) 1/2) (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) 1/2) (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) 1/2) (*.f64 a b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) 1/2) (*.f64 a b)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) 1/2) (*.f64 a b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (sqrt.f64 (*.f64 b 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 b (/.f64 a (/.f64 (PI.f64) a))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) 1/2) (*.f64 a b))) 1) 1)))))) |
| 1× | egg-herbie |
| 917× | associate-*r/_binary64 |
| 835× | associate-/r/_binary64 |
| 671× | *-commutative_binary64 |
| 649× | associate-*l/_binary64 |
| 440× | sqr-pow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 696 |
| 1 | 21 | 696 |
| 2 | 51 | 696 |
| 3 | 139 | 696 |
| 4 | 458 | 696 |
| 5 | 1859 | 696 |
| 6 | 3661 | 696 |
| 7 | 4075 | 696 |
| 8 | 4190 | 696 |
| 9 | 4337 | 696 |
| 10 | 4518 | 696 |
| 11 | 4771 | 696 |
| 12 | 6102 | 696 |
| 13 | 6750 | 696 |
| 14 | 7215 | 696 |
| 15 | 7804 | 696 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
| Outputs |
|---|
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) |
(/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)) |
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) |
(/.f64 (PI.f64) (*.f64 a (*.f64 a b))) |
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) |
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (*.f64 a a)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (*.f64 a a)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (*.f64 a a)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (*.f64 a a)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (*.f64 a a)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (*.f64 a a)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (*.f64 a a)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (*.f64 a a)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (*.f64 a a)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (*.f64 a a)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (*.f64 a a)) |
(/.f64 (PI.f64) (pow.f64 a 2)) |
(/.f64 (PI.f64) (*.f64 a a)) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b)) |
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b)) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b)))) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b)) |
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b)) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b)))) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b)) |
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b)) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b)))) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b)) |
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b)) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b)))) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b)) |
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b)) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b)))) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b)) |
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b)) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b)))) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b)) |
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b)) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b)))) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b)) |
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b)) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b)))) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b)) |
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b)) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b)))) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b)) |
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b)) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b)))) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b)) |
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b)) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b)))) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b)) |
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b)) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b)))) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b)) |
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b)) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b)))) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b)) |
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b)) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b)))) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b)) |
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b)) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b)))) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b)) |
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b)) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b)))) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b)) |
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b)) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b)))) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b)) |
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b)) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b)))) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b)) |
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b)) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b)))) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b)) |
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b)) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b)))) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b)) |
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b)) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b)))) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b)) |
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b)) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b)))) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b)) |
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b)) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b)))) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(/.f64 (*.f64 1/2 (PI.f64)) (*.f64 (*.f64 a a) b)) |
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))) 1/2) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 (*.f64 a a)) b)) |
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 1/2 a) a) b)) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 a b)))) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a)) | |
| ✓ | 0.2b | (/.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) a) |
| 0.3b | (/.f64 (PI.f64) a) | |
| ✓ | 0.3b | (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
Compiled 47 to 28 computations (40.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | 0 | (/.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) a) |
| 1.0ms | a | @ | -inf | (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
| 1.0ms | b | @ | -inf | (/.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) a) |
| 1.0ms | b | @ | 0 | (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
| 1.0ms | a | @ | 0 | (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
| 1× | batch-egg-rewrite |
| 769× | log-prod_binary64 |
| 396× | log-div_binary64 |
| 367× | fma-def_binary64 |
| 255× | expm1-udef_binary64 |
| 255× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 37 |
| 1 | 284 | 37 |
| 2 | 4547 | 37 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
(/.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) a) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 -1/2 a)) (*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b)) (*.f64 (/.f64 (PI.f64) a) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 1/2 b)) 1) (*.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 -1/2 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) (/.f64 (PI.f64) a))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) (/.f64 (PI.f64) a))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) (/.f64 (PI.f64) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) 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| 1× | egg-herbie |
| 816× | times-frac_binary64 |
| 647× | associate-/l/_binary64 |
| 566× | associate-/r*_binary64 |
| 536× | unswap-sqr_binary64 |
| 501× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 987 |
| 1 | 53 | 987 |
| 2 | 130 | 807 |
| 3 | 324 | 807 |
| 4 | 1197 | 807 |
| 5 | 5680 | 807 |
| 6 | 7332 | 807 |
| 7 | 7536 | 807 |
| 8 | 7789 | 807 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
| Outputs |
|---|
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) a)) |
(*.f64 (PI.f64) (/.f64 -1/2 (*.f64 a a))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))) |
(/.f64 (/.f64 1/2 (/.f64 b (PI.f64))) a) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b)) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))) |
(/.f64 (/.f64 1/2 (/.f64 b (PI.f64))) a) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b)) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))) |
(/.f64 (/.f64 1/2 (/.f64 b (PI.f64))) a) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a b))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b)) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) a)) |
(*.f64 (PI.f64) (/.f64 -1/2 (*.f64 a a))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) |
(*.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a))) |
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) a) a)) |
(*.f64 (PI.f64) (/.f64 -1/2 (*.f64 a a))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b)))) |
(*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) |
(/.f64 (*.f64 -1/2 (PI.f64)) (pow.f64 a 3)) |
(/.f64 -1/2 (/.f64 (pow.f64 a 3) (PI.f64))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b)))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (/.f64 1/2 b)) |
(/.f64 (PI.f64) (/.f64 (*.f64 a b) (/.f64 1/2 a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 1/2 b)) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b)))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (/.f64 1/2 b)) |
(/.f64 (PI.f64) (/.f64 (*.f64 a b) (/.f64 1/2 a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 1/2 b)) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))) |
(*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b)))) |
(*.f64 1/2 (/.f64 (/.f64 (PI.f64) b) (*.f64 a a))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (/.f64 1/2 b)) |
(/.f64 (PI.f64) (/.f64 (*.f64 a b) (/.f64 1/2 a))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 1/2 b)) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) |
(/.f64 (*.f64 -1/2 (PI.f64)) (pow.f64 a 3)) |
(/.f64 -1/2 (/.f64 (pow.f64 a 3) (PI.f64))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) |
(/.f64 (*.f64 -1/2 (PI.f64)) (pow.f64 a 3)) |
(/.f64 -1/2 (/.f64 (pow.f64 a 3) (PI.f64))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 a 2) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)))) |
(fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 a 3)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a (*.f64 a b))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (+.f64 (/.f64 -1/2 a) (/.f64 1/2 b))) |
Compiled 14340 to 7873 computations (45.1% saved)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 886 | 7 | 893 |
| Fresh | 5 | 6 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 5 | 1 | 6 |
| Total | 897 | 14 | 911 |
| Status | Error | Program |
|---|---|---|
| 26.1b | (/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) | |
| 26.1b | (/.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b)) a) | |
| 1.0b | (/.f64 1/2 (*.f64 (/.f64 b (/.f64 (PI.f64) a)) (+.f64 b a))) | |
| 31.7b | (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (*.f64 a a))) | |
| 26.1b | (/.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))) a) | |
| 26.2b | (/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b a)) | |
| 3.8b | (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) b) a) | |
| 26.2b | (/.f64 (*.f64 (/.f64 1/2 (*.f64 a b)) (PI.f64)) a) | |
| 26.2b | (/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b 2)) a) a) | |
| ✓ | 29.4b | (/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b b)) |
| 24.9b | (/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2) | |
| 24.9b | (*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b)) | |
| 24.9b | (/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) 2) | |
| 24.9b | (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 a b)) b) |
Compiled 158 to 114 computations (27.8% saved)
| Inputs |
|---|
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b)) a) |
(/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (*.f64 a a))) |
(/.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))) a) |
(/.f64 (*.f64 (/.f64 1/2 (*.f64 a b)) (PI.f64)) a) |
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b 2)) a) a) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) |
(*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b)) |
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b b)) |
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b a)) |
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2) |
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) 2) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 a b)) b) |
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) 2) |
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) 2) |
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b)) |
(/.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (*.f64 b b)) |
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a b))) |
(*.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (*.f64 a a))) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 1/2 b)) |
(/.f64 1/2 (*.f64 (/.f64 b (/.f64 (PI.f64) a)) (+.f64 b a))) |
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) b) a) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))) |
(/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 1 b) (*.f64 a b))) 2) |
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b))) 2) |
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (*.f64 b a)) |
(*.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (+.f64 b a))) (/.f64 1 a)) |
(/.f64 (*.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) a) |
(/.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) a) a) |
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 1/2 a) (/.f64 -1/2 b))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 1/2 b) (/.f64 -1/2 a))) |
(*.f64 (/.f64 1 (*.f64 -2 (*.f64 (/.f64 a (PI.f64)) a))) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 1 b) b)) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 (/.f64 -1 a) a)) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
(/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 2 (PI.f64))) (*.f64 b a))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 (*.f64 b b) (*.f64 a a))) (-.f64 b a)) (*.f64 2 (*.f64 b a))) |
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) 1/2)) (*.f64 (*.f64 b a) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(/.f64 (*.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (*.f64 (PI.f64) 1/2)) (-.f64 (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (PI.f64) (/.f64 (+.f64 (/.f64 1 a) (/.f64 -1 b)) (-.f64 (*.f64 b b) (*.f64 a a)))) 2) |
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (-.f64 b a)) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
(/.f64 1 (/.f64 (-.f64 b a) (*.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (+.f64 (/.f64 1 a) (/.f64 -1 b))))) |
(*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (PI.f64) 1/2))) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
(*.f64 (/.f64 (PI.f64) (/.f64 2 (/.f64 (/.f64 1 (+.f64 b a)) (-.f64 b a)))) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
(*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 2 (fma.f64 b b (*.f64 a (neg.f64 a))))) |
(/.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 a b) (*.f64 a b)))) 2) (/.f64 1 (cbrt.f64 (*.f64 (+.f64 a b) (*.f64 a b)))))) 2) |
(/.f64 (*.f64 (-.f64 (pow.f64 a -2) (pow.f64 b -2)) (*.f64 (PI.f64) 1/2)) (*.f64 (+.f64 (/.f64 1 a) (pow.f64 b -1)) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (pow.f64 (/.f64 a (PI.f64)) -1)) (*.f64 2 (fma.f64 b b (*.f64 a (neg.f64 a))))) |
(*.f64 (/.f64 1 (*.f64 (hypot.f64 b a) (sqrt.f64 2))) (/.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a)) (*.f64 (hypot.f64 b a) (sqrt.f64 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) 2) (*.f64 (hypot.f64 b a) (sqrt.f64 2))) (/.f64 (cbrt.f64 (fma.f64 (PI.f64) (/.f64 -1 b) (/.f64 (PI.f64) a))) (*.f64 (hypot.f64 b a) (sqrt.f64 2)))) |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (*.f64 b a)) |
3 calls:
| 33.0ms | b |
| 27.0ms | a |
| 16.0ms | (*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | a |
| 0.3b | 1 | b |
| 0.3b | 1 | (*.f64 (*.f64 (/.f64 (PI.f64) 2) (/.f64 1 (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b))) |
Compiled 751 to 377 computations (49.8% saved)
| Inputs |
|---|
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b)) a) |
(/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (*.f64 a a))) |
(/.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))) a) |
(/.f64 (*.f64 (/.f64 1/2 (*.f64 a b)) (PI.f64)) a) |
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b 2)) a) a) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) |
(*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b)) |
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b b)) |
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b a)) |
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2) |
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) 2) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 a b)) b) |
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) 2) |
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) 2) |
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b)) |
(/.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (*.f64 b b)) |
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a b))) |
(*.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (*.f64 a a))) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 1/2 b)) |
(/.f64 1/2 (*.f64 (/.f64 b (/.f64 (PI.f64) a)) (+.f64 b a))) |
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) b) a) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))) |
(/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 1 b) (*.f64 a b))) 2) |
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (*.f64 a b))) 2) |
| Outputs |
|---|
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))) |
2 calls:
| 19.0ms | a |
| 14.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | a |
| 0.3b | 1 | b |
Compiled 252 to 119 computations (52.8% saved)
| Inputs |
|---|
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b)) a) |
(/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (*.f64 a a))) |
(/.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))) a) |
(/.f64 (*.f64 (/.f64 1/2 (*.f64 a b)) (PI.f64)) a) |
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b 2)) a) a) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) |
(*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b)) |
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b b)) |
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b a)) |
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2) |
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) 2) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 a b)) b) |
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) 2) |
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) 2) |
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b)) |
(/.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (*.f64 b b)) |
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a b))) |
(*.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (*.f64 a a))) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 1/2 b)) |
(/.f64 1/2 (*.f64 (/.f64 b (/.f64 (PI.f64) a)) (+.f64 b a))) |
(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) b) a) |
| Outputs |
|---|
(/.f64 1/2 (*.f64 (/.f64 b (/.f64 (PI.f64) a)) (+.f64 b a))) |
2 calls:
| 14.0ms | b |
| 13.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 1.0b | 1 | a |
| 1.0b | 1 | b |
Compiled 219 to 104 computations (52.5% saved)
| Inputs |
|---|
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b)) a) |
(/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (*.f64 a a))) |
(/.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))) a) |
(/.f64 (*.f64 (/.f64 1/2 (*.f64 a b)) (PI.f64)) a) |
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b 2)) a) a) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) |
(*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b)) |
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b b)) |
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b a)) |
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2) |
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) 2) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 a b)) b) |
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) b) a) 2) |
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) 2) |
(*.f64 1/2 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) b)) |
(/.f64 (*.f64 (/.f64 1/2 a) (PI.f64)) (*.f64 b b)) |
(*.f64 (/.f64 1/2 b) (/.f64 (PI.f64) (*.f64 a b))) |
(*.f64 (/.f64 (PI.f64) b) (/.f64 1/2 (*.f64 a a))) |
(*.f64 (PI.f64) (/.f64 1/2 (*.f64 a (*.f64 b b)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 1/2 b)) |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 a b)) b) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2) |
2 calls:
| 41.0ms | a |
| 32.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 7.5b | 3 | a |
| 3.2b | 3 | b |
Compiled 197 to 94 computations (52.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 2148448582873963.0 | 28010988298029468.0 |
| 27.0ms | -2117645.706398232 | -940.1320737774415 |
Compiled 28 to 21 computations (25% saved)
| Inputs |
|---|
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b)) a) |
(/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (*.f64 a a))) |
(/.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))) a) |
(/.f64 (*.f64 (/.f64 1/2 (*.f64 a b)) (PI.f64)) a) |
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b 2)) a) a) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) |
(*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b)) |
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b b)) |
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b a)) |
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2) |
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) 2) |
(*.f64 (PI.f64) (/.f64 (/.f64 1/2 b) (*.f64 a a))) |
| Outputs |
|---|
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) 2) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2) |
2 calls:
| 29.0ms | a |
| 22.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 7.5b | 3 | a |
| 3.2b | 3 | b |
Compiled 116 to 60 computations (48.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 2148448582873963.0 | 28010988298029468.0 |
| 27.0ms | -2117645.706398232 | -940.1320737774415 |
Compiled 28 to 21 computations (25% saved)
| Inputs |
|---|
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b)) a) |
(/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (*.f64 a a))) |
(/.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))) a) |
(/.f64 (*.f64 (/.f64 1/2 (*.f64 a b)) (PI.f64)) a) |
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b 2)) a) a) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) |
(*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b)) |
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b b)) |
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b a)) |
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b)) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) |
(/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2) |
2 calls:
| 24.0ms | a |
| 18.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 7.5b | 3 | a |
| 3.3b | 3 | b |
Compiled 98 to 53 computations (45.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 52.0ms | 2148448582873963.0 | 28010988298029468.0 |
| 28.0ms | -2117645.706398232 | -940.1320737774415 |
Compiled 28 to 21 computations (25% saved)
| Inputs |
|---|
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b)) a) |
(/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (*.f64 a a))) |
(/.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))) a) |
(/.f64 (*.f64 (/.f64 1/2 (*.f64 a b)) (PI.f64)) a) |
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b 2)) a) a) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) |
(*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b)) |
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b b)) |
(/.f64 (/.f64 1/2 (/.f64 a (PI.f64))) (*.f64 b a)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b)) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) |
(*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b)) |
2 calls:
| 55.0ms | b |
| 23.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 7.6b | 3 | a |
| 3.3b | 3 | b |
Compiled 89 to 49 computations (44.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 47.0ms | 2148448582873963.0 | 28010988298029468.0 |
| 28.0ms | -2117645.706398232 | -940.1320737774415 |
Compiled 28 to 21 computations (25% saved)
| Inputs |
|---|
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b)) a) |
(/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (*.f64 a a))) |
(/.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))) a) |
(/.f64 (*.f64 (/.f64 1/2 (*.f64 a b)) (PI.f64)) a) |
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b 2)) a) a) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) |
| Outputs |
|---|
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) |
2 calls:
| 5.0ms | a |
| 5.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 26.1b | 1 | a |
| 26.1b | 1 | b |
Compiled 62 to 35 computations (43.5% saved)
| Inputs |
|---|
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b)) a) |
(/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (*.f64 a a))) |
(/.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))) a) |
(/.f64 (*.f64 (/.f64 1/2 (*.f64 a b)) (PI.f64)) a) |
(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b 2)) a) a) |
| Outputs |
|---|
(/.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))) a) |
2 calls:
| 14.0ms | b |
| 4.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 26.1b | 1 | a |
| 26.1b | 1 | b |
Compiled 53 to 31 computations (41.5% saved)
Total -5.9b remaining (-22.4%)
Threshold costs -5.9b (-22.4%)
| Inputs |
|---|
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b)) a) |
(/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b (*.f64 a a))) |
| Outputs |
|---|
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b)) a) |
2 calls:
| 3.0ms | a |
| 3.0ms | b |
| Error | Segments | Branch |
|---|---|---|
| 26.1b | 1 | a |
| 26.1b | 1 | b |
Compiled 26 to 17 computations (34.6% saved)
| 1× | egg-herbie |
| 9× | *-commutative_binary64 |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 309 |
| 1 | 62 | 309 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (*.f64 b a)) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))) |
(/.f64 1/2 (*.f64 (/.f64 b (/.f64 (PI.f64) a)) (+.f64 b a))) |
(if (<=.f64 b -9095219053495224/4294967296) (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 a b)) b) (if (<=.f64 b 2148448582873963) (/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) (/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2))) |
(if (<=.f64 b -9095219053495224/4294967296) (/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) 2) (if (<=.f64 b 2148448582873963) (/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) (/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2))) |
(if (<=.f64 b -9095219053495224/4294967296) (*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b)) (if (<=.f64 b 2148448582873963) (/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) (/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2))) |
(if (<=.f64 b -9095219053495224/4294967296) (*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b)) (if (<=.f64 b 2148448582873963) (/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) (*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b)))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) |
(/.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))) a) |
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b)) a) |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (+.f64 b a)) (*.f64 b a)) |
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 1/2 (+.f64 b a))) |
(/.f64 1/2 (*.f64 (/.f64 b (/.f64 (PI.f64) a)) (+.f64 b a))) |
(/.f64 1/2 (*.f64 (+.f64 b a) (/.f64 b (/.f64 (PI.f64) a)))) |
(if (<=.f64 b -9095219053495224/4294967296) (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 a b)) b) (if (<=.f64 b 2148448582873963) (/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) (/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2))) |
(if (<=.f64 b -1136902381686903/536870912) (/.f64 (/.f64 (*.f64 (PI.f64) 1/2) (*.f64 b a)) b) (if (<=.f64 b 2148448582873963) (/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) (/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2))) |
(if (<=.f64 b -9095219053495224/4294967296) (/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) 2) (if (<=.f64 b 2148448582873963) (/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) (/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2))) |
(if (<=.f64 b -1136902381686903/536870912) (/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) 2) (if (<=.f64 b 2148448582873963) (/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) (/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2))) |
(if (<=.f64 b -9095219053495224/4294967296) (*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b)) (if (<=.f64 b 2148448582873963) (/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) (/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2))) |
(if (<=.f64 b -1136902381686903/536870912) (*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b)) (if (<=.f64 b 2148448582873963) (/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) (/.f64 (/.f64 (PI.f64) (*.f64 b (*.f64 b a))) 2))) |
(if (<=.f64 b -9095219053495224/4294967296) (*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b)) (if (<=.f64 b 2148448582873963) (/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) (*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b)))) |
(if (<=.f64 b -1136902381686903/536870912) (*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b)) (if (<=.f64 b 2148448582873963) (/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) (*.f64 (/.f64 (/.f64 1/2 a) b) (/.f64 (PI.f64) b)))) |
(/.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 b 1/2))) |
(/.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 a b))) a) |
(/.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 b a))) a) |
(/.f64 (*.f64 1/2 (/.f64 (/.f64 (PI.f64) a) b)) a) |
Compiled 220 to 144 computations (34.5% saved)
Compiled 202 to 97 computations (52% saved)
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