Time bar (total: 5.0s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 12.5% | 87.5% | 0 |
| 0% | 12.5% | 87.5% | 1 |
| 0% | 12.5% | 87.5% | 2 |
| 3.1% | 9.3% | 87.5% | 3 |
| 3.1% | 6.2% | 90.7% | 4 |
| 4.7% | 4.7% | 90.7% | 5 |
| 4.7% | 3.5% | 91.8% | 6 |
| 5.6% | 2.5% | 91.8% | 7 |
| 5.9% | 1.8% | 92.3% | 8 |
| 6.4% | 1.3% | 92.3% | 9 |
| 6.6% | 0.9% | 92.5% | 10 |
| 6.8% | 0.6% | 92.5% | 11 |
| 6.9% | 0.5% | 92.6% | 12 |
Compiled 24 to 17 computations (29.2% saved)
| 1.2s | 8256× | body | 256 | valid |
| 12.0ms | 113× | body | 256 | invalid |
| 2× | egg-herbie |
| 820× | fma-neg_binary64 |
| 648× | times-frac_binary64 |
| 328× | cancel-sign-sub-inv_binary64 |
| 300× | div-sub_binary64 |
| 287× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 32 |
| 1 | 32 | 32 |
| 2 | 68 | 28 |
| 3 | 159 | 28 |
| 4 | 592 | 28 |
| 5 | 1906 | 28 |
| 6 | 4511 | 28 |
| 7 | 6446 | 28 |
| 8 | 7270 | 28 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m) |
(*.f64 (-.f64 (/.f64 (*.f64 v (-.f64 1 v)) m) 1) v) |
| Outputs |
|---|
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m) |
(*.f64 m (+.f64 (/.f64 m (/.f64 v (-.f64 1 m))) -1)) |
(*.f64 m (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1)) |
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) |
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) |
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) |
(*.f64 (-.f64 (/.f64 (*.f64 v (-.f64 1 v)) m) 1) v) |
(*.f64 v (+.f64 (/.f64 v (/.f64 m (-.f64 1 v))) -1)) |
(*.f64 v (+.f64 (*.f64 (/.f64 v m) (-.f64 1 v)) -1)) |
(*.f64 v (fma.f64 (/.f64 v m) (-.f64 1 v) -1)) |
(*.f64 v (fma.f64 (-.f64 1 v) (/.f64 v m) -1)) |
(*.f64 v (fma.f64 v (/.f64 (-.f64 1 v) m) -1)) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
| 1175× | fma-def_binary64 |
| 913× | fma-neg_binary64 |
| 424× | associate-/l*_binary64 |
| 409× | div-sub_binary64 |
| 299× | associate-/l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 16 |
| 1 | 20 | 16 |
| 2 | 39 | 14 |
| 3 | 85 | 14 |
| 4 | 280 | 14 |
| 5 | 726 | 14 |
| 6 | 1858 | 14 |
| 7 | 3236 | 14 |
| 8 | 4027 | 14 |
| 9 | 4373 | 14 |
| 10 | 4984 | 14 |
| 11 | 6548 | 14 |
| 12 | 7322 | 14 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m) |
| Outputs |
|---|
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m) |
(*.f64 m (+.f64 (/.f64 m (/.f64 v (-.f64 1 m))) -1)) |
(*.f64 m (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1)) |
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) |
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) |
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) |
Compiled 23 to 15 computations (34.8% 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 |
|---|---|---|
| ▶ | 0.1b | (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m) |
| ▶ | 0.2b | (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) |
Compiled 25 to 17 computations (32% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (fma.f64 m (/.f64 (-.f64 1 m) v) -1) | |
| 0.1b | (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) | |
| 0.0b | (/.f64 (-.f64 1 m) v) | |
| ✓ | 0.0b | (/.f64 (-.f64 1 m) v) |
| ✓ | 0.1b | (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) |
| ✓ | 0.1b | (fma.f64 m (/.f64 (-.f64 1 m) v) -1) |
Compiled 32 to 20 computations (37.5% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | v | @ | 0 | (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) |
| 1.0ms | m | @ | 0 | (fma.f64 m (/.f64 (-.f64 1 m) v) -1) |
| 1.0ms | v | @ | 0 | (fma.f64 m (/.f64 (-.f64 1 m) v) -1) |
| 1.0ms | m | @ | inf | (fma.f64 m (/.f64 (-.f64 1 m) v) -1) |
| 1.0ms | m | @ | -inf | (fma.f64 m (/.f64 (-.f64 1 m) v) -1) |
| 1× | batch-egg-rewrite |
| 630× | unpow-prod-down_binary64 |
| 452× | log-prod_binary64 |
| 343× | exp-prod_binary64 |
| 276× | pow-prod-down_binary64 |
| 246× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 1 | 186 | 32 |
| 2 | 2441 | 32 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 m (/.f64 (-.f64 1 m) v) -1) |
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) |
(/.f64 (-.f64 1 m) v) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 m (/.f64 v (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 m (/.f64 v (-.f64 1 m))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 m 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(-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 2) 3) (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 3) -1) (+.f64 (pow.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 2) (-.f64 1 (*.f64 (/.f64 m (/.f64 v (-.f64 1 m))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 2) 1) (fma.f64 m (/.f64 (-.f64 1 m) v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 2)) (cbrt.f64 (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))) (sqrt.f64 (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 m (/.f64 v (-.f64 1 m))) m) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (/.f64 m (/.f64 v (-.f64 1 m)))) (*.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))) 2)) (cbrt.f64 (log.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))) (sqrt.f64 (log.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (/.f64 m (/.f64 v (-.f64 1 m))) (*.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (/.f64 v (-.f64 1 m))) m (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 1) 1)))))) |
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(cbrt.f64 v) 2) (pow.f64 (cbrt.f64 (-.f64 1 m)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 v) (cbrt.f64 (-.f64 1 m))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 v) (pow.f64 (cbrt.f64 (-.f64 1 m)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 v) (cbrt.f64 (-.f64 1 m))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 1 m) -1/2) -1) (pow.f64 (/.f64 v (sqrt.f64 (-.f64 1 m))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) (sqrt.f64 (-.f64 1 m))) -1) (pow.f64 (/.f64 (cbrt.f64 v) (sqrt.f64 (-.f64 1 m))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 v) (sqrt.f64 (-.f64 1 m))) -1) (pow.f64 (/.f64 (sqrt.f64 v) (sqrt.f64 (-.f64 1 m))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 v (-.f64 1 (pow.f64 m 3))) -1) (/.f64 1 (+.f64 1 (fma.f64 m m m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 v (-.f64 1 (*.f64 m m))) -1) (/.f64 1 (+.f64 m 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 m) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 v (-.f64 1 m)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 m) v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 m) v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 m) v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (-.f64 1 m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 1 m) 3) (pow.f64 v 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 1 m) v))) 2)) (cbrt.f64 (log.f64 (/.f64 (-.f64 1 m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (-.f64 1 m) v)))) (sqrt.f64 (log.f64 (/.f64 (-.f64 1 m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 m) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 v (-.f64 1 m)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 m) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 m) 3) (pow.f64 v 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 v) (neg.f64 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 v)) 2) (cbrt.f64 (/.f64 1 v)) (neg.f64 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 v)) (sqrt.f64 (/.f64 1 v)) (neg.f64 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 m) v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 1 m) v) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 1 m) v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 m) v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 v (-.f64 1 m))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 m) v)) 1) 1)))))) |
| 1× | egg-herbie |
| 451× | distribute-rgt-neg-in_binary64 |
| 431× | fma-def_binary64 |
| 402× | distribute-rgt-out--_binary64 |
| 377× | fma-neg_binary64 |
| 344× | associate-/l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 862 |
| 1 | 83 | 783 |
| 2 | 175 | 783 |
| 3 | 407 | 588 |
| 4 | 1346 | 588 |
| 5 | 4854 | 588 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (/.f64 m v) 1) |
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1) |
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1) |
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1) |
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) |
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) |
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) |
-1 |
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) |
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) |
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) |
-1 |
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) |
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) |
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) |
(*.f64 -1 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(*.f64 -1 m) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(*.f64 -1 m) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(/.f64 1 v) |
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v)) |
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v)) |
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v)) |
(*.f64 -1 (/.f64 m v)) |
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v)) |
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v)) |
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v)) |
(*.f64 -1 (/.f64 m v)) |
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v)) |
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v)) |
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v)) |
| Outputs |
|---|
-1 |
(-.f64 (/.f64 m v) 1) |
(+.f64 (/.f64 m v) -1) |
(+.f64 -1 (/.f64 m v)) |
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1) |
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1)) |
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))) |
(fma.f64 (/.f64 m v) (-.f64 1 m) -1) |
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1) |
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1)) |
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))) |
(fma.f64 (/.f64 m v) (-.f64 1 m) -1) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(neg.f64 (/.f64 (*.f64 m m) v)) |
(/.f64 (*.f64 (neg.f64 m) m) v) |
(/.f64 (neg.f64 m) (/.f64 v m)) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(*.f64 m (neg.f64 (/.f64 m v))) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v))) |
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))) |
(*.f64 (/.f64 m v) (-.f64 1 m)) |
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1) |
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1)) |
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))) |
(fma.f64 (/.f64 m v) (-.f64 1 m) -1) |
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1) |
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1)) |
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))) |
(fma.f64 (/.f64 m v) (-.f64 1 m) -1) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(neg.f64 (/.f64 (*.f64 m m) v)) |
(/.f64 (*.f64 (neg.f64 m) m) v) |
(/.f64 (neg.f64 m) (/.f64 v m)) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(*.f64 m (neg.f64 (/.f64 m v))) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v))) |
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))) |
(*.f64 (/.f64 m v) (-.f64 1 m)) |
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1) |
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1)) |
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))) |
(fma.f64 (/.f64 m v) (-.f64 1 m) -1) |
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1) |
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1)) |
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))) |
(fma.f64 (/.f64 m v) (-.f64 1 m) -1) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v))) |
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))) |
(*.f64 (/.f64 m v) (-.f64 1 m)) |
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) |
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1)) |
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))) |
(fma.f64 (/.f64 m v) (-.f64 1 m) -1) |
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) |
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1)) |
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))) |
(fma.f64 (/.f64 m v) (-.f64 1 m) -1) |
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) |
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1)) |
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))) |
(fma.f64 (/.f64 m v) (-.f64 1 m) -1) |
-1 |
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) |
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1)) |
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))) |
(fma.f64 (/.f64 m v) (-.f64 1 m) -1) |
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) |
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1)) |
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))) |
(fma.f64 (/.f64 m v) (-.f64 1 m) -1) |
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) |
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1)) |
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))) |
(fma.f64 (/.f64 m v) (-.f64 1 m) -1) |
-1 |
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) |
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1)) |
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))) |
(fma.f64 (/.f64 m v) (-.f64 1 m) -1) |
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) |
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1)) |
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))) |
(fma.f64 (/.f64 m v) (-.f64 1 m) -1) |
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) |
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1)) |
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))) |
(fma.f64 (/.f64 m v) (-.f64 1 m) -1) |
(*.f64 -1 m) |
(neg.f64 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(fma.f64 (/.f64 m v) m (neg.f64 m)) |
(fma.f64 m (/.f64 m v) (neg.f64 m)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v))) |
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v))) |
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v))) |
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v))) |
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v))) |
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v))) |
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v))) |
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v))) |
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v))) |
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) |
(*.f64 -1 m) |
(neg.f64 m) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v))) |
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v))) |
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v))) |
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) |
(*.f64 -1 m) |
(neg.f64 m) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v))) |
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v))) |
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v))) |
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) |
(/.f64 1 v) |
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v)) |
(fma.f64 -1 (/.f64 m v) (/.f64 1 v)) |
(-.f64 (/.f64 1 v) (/.f64 m v)) |
(/.f64 (-.f64 1 m) v) |
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v)) |
(fma.f64 -1 (/.f64 m v) (/.f64 1 v)) |
(-.f64 (/.f64 1 v) (/.f64 m v)) |
(/.f64 (-.f64 1 m) v) |
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v)) |
(fma.f64 -1 (/.f64 m v) (/.f64 1 v)) |
(-.f64 (/.f64 1 v) (/.f64 m v)) |
(/.f64 (-.f64 1 m) v) |
(*.f64 -1 (/.f64 m v)) |
(neg.f64 (/.f64 m v)) |
(/.f64 (neg.f64 m) v) |
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v)) |
(fma.f64 -1 (/.f64 m v) (/.f64 1 v)) |
(-.f64 (/.f64 1 v) (/.f64 m v)) |
(/.f64 (-.f64 1 m) v) |
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v)) |
(fma.f64 -1 (/.f64 m v) (/.f64 1 v)) |
(-.f64 (/.f64 1 v) (/.f64 m v)) |
(/.f64 (-.f64 1 m) v) |
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v)) |
(fma.f64 -1 (/.f64 m v) (/.f64 1 v)) |
(-.f64 (/.f64 1 v) (/.f64 m v)) |
(/.f64 (-.f64 1 m) v) |
(*.f64 -1 (/.f64 m v)) |
(neg.f64 (/.f64 m v)) |
(/.f64 (neg.f64 m) v) |
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v)) |
(fma.f64 -1 (/.f64 m v) (/.f64 1 v)) |
(-.f64 (/.f64 1 v) (/.f64 m v)) |
(/.f64 (-.f64 1 m) v) |
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v)) |
(fma.f64 -1 (/.f64 m v) (/.f64 1 v)) |
(-.f64 (/.f64 1 v) (/.f64 m v)) |
(/.f64 (-.f64 1 m) v) |
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v)) |
(fma.f64 -1 (/.f64 m v) (/.f64 1 v)) |
(-.f64 (/.f64 1 v) (/.f64 m v)) |
(/.f64 (-.f64 1 m) v) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m) | |
| 0.0b | (/.f64 (*.f64 m (-.f64 1 m)) v) | |
| 0.0b | (*.f64 m (-.f64 1 m)) | |
| ✓ | 0.0b | (*.f64 m (-.f64 1 m)) |
| ✓ | 0.0b | (/.f64 (*.f64 m (-.f64 1 m)) v) |
| ✓ | 0.1b | (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m) |
Compiled 40 to 25 computations (37.5% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | m | @ | -inf | (*.f64 m (-.f64 1 m)) |
| 1.0ms | m | @ | inf | (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m) |
| 1.0ms | m | @ | 0 | (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m) |
| 1.0ms | v | @ | 0 | (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m) |
| 0.0ms | v | @ | inf | (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m) |
| 1× | batch-egg-rewrite |
| 536× | log-prod_binary64 |
| 501× | prod-diff_binary64 |
| 351× | pow-prod-down_binary64 |
| 264× | pow2_binary64 |
| 185× | pow1/3_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 33 |
| 1 | 201 | 33 |
| 2 | 2901 | 31 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(*.f64 m (-.f64 1 m)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) m) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) (*.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -3) -1) m) (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) (fma.f64 (/.f64 m v) (-.f64 1 m) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) -1) m) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -3) -1)) (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) (fma.f64 (/.f64 m v) (-.f64 1 m) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) -1)) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)) (*.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) m (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 m v) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 m v) (-.f64 1 m)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (*.f64 (-.f64 1 m) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 m v) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 m) (*.f64 m (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (-.f64 1 m)) (*.f64 (/.f64 1 v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) (*.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2)) (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2)) (*.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) (*.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 m) (neg.f64 m)) (/.f64 1 (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) (*.f64 m (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m 1) (/.f64 (-.f64 1 m) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) 1) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m v) (-.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) 1) (/.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) 1) (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (pow.f64 (cbrt.f64 v) 2)) (/.f64 (-.f64 1 m) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 v) -2) (/.f64 (*.f64 m (-.f64 1 m)) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) (pow.f64 (cbrt.f64 v) 2)) (/.f64 m (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 v -1/2) (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) (sqrt.f64 v)) (/.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 m (-.f64 1 m)) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 m v) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (/.f64 m v) (-.f64 1 m) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1)) 2) (cbrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1)) (sqrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 m (*.f64 (neg.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 m (*.f64 m (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 m (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (-.f64 1 m))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (-.f64 1 m)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (-.f64 1 m)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) m) (fma.f64 m (+.f64 m 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) m) (+.f64 m 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (-.f64 1 (pow.f64 m 3))) (fma.f64 m (+.f64 m 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (-.f64 1 (*.f64 m m))) (+.f64 m 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (-.f64 1 m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (-.f64 1 m)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (-.f64 1 m)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (-.f64 1 m)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (-.f64 1 m)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m 1 (*.f64 (neg.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m 1 (*.f64 m (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 m (*.f64 (neg.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 m (*.f64 m (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 m) (pow.f64 (cbrt.f64 m) 2) (*.f64 (neg.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 m) (pow.f64 (cbrt.f64 m) 2) (*.f64 m (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (cbrt.f64 m) (*.f64 (neg.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (cbrt.f64 m) (*.f64 m (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (sqrt.f64 m) (*.f64 (neg.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (sqrt.f64 m) (*.f64 m (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 m (-.f64 1 m))) 1)))))) |
| 1× | egg-herbie |
| 476× | distribute-rgt-neg-in_binary64 |
| 466× | fma-def_binary64 |
| 367× | distribute-lft-neg-in_binary64 |
| 349× | fma-neg_binary64 |
| 314× | unswap-sqr_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 646 |
| 1 | 67 | 585 |
| 2 | 142 | 585 |
| 3 | 349 | 531 |
| 4 | 1234 | 474 |
| 5 | 4973 | 474 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(*.f64 -1 m) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(*.f64 -1 m) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(/.f64 m v) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
m |
(+.f64 (*.f64 -1 (pow.f64 m 2)) m) |
(+.f64 (*.f64 -1 (pow.f64 m 2)) m) |
(+.f64 (*.f64 -1 (pow.f64 m 2)) m) |
(*.f64 -1 (pow.f64 m 2)) |
(+.f64 (*.f64 -1 (pow.f64 m 2)) m) |
(+.f64 (*.f64 -1 (pow.f64 m 2)) m) |
(+.f64 (*.f64 -1 (pow.f64 m 2)) m) |
(*.f64 -1 (pow.f64 m 2)) |
(+.f64 (*.f64 -1 (pow.f64 m 2)) m) |
(+.f64 (*.f64 -1 (pow.f64 m 2)) m) |
(+.f64 (*.f64 -1 (pow.f64 m 2)) m) |
| Outputs |
|---|
(*.f64 -1 m) |
(neg.f64 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(fma.f64 m (/.f64 m v) (neg.f64 m)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v))) |
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m) |
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v))) |
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m) |
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v)) |
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) |
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v))) |
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m) |
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v))) |
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m) |
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v)) |
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) |
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v))) |
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m) |
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v))) |
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m) |
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v)) |
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) |
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v))) |
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m) |
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v))) |
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m) |
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v))) |
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m) |
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) |
(*.f64 -1 m) |
(neg.f64 m) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v))) |
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m) |
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v))) |
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m) |
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v))) |
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m) |
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) |
(*.f64 -1 m) |
(neg.f64 m) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v))) |
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m) |
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v))) |
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m) |
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v))) |
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m) |
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) |
(/.f64 m v) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v)) |
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))) |
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)) |
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v))) |
(*.f64 m (/.f64 (-.f64 1 m) v)) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v)) |
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))) |
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)) |
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v))) |
(*.f64 m (/.f64 (-.f64 1 m) v)) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v)) |
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))) |
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)) |
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v))) |
(*.f64 m (/.f64 (-.f64 1 m) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(/.f64 (neg.f64 (*.f64 m m)) v) |
(/.f64 (*.f64 m (neg.f64 m)) v) |
(/.f64 m (/.f64 v (neg.f64 m))) |
(*.f64 (/.f64 m v) (neg.f64 m)) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v)) |
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))) |
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)) |
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v))) |
(*.f64 m (/.f64 (-.f64 1 m) v)) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v)) |
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))) |
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)) |
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v))) |
(*.f64 m (/.f64 (-.f64 1 m) v)) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v)) |
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))) |
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)) |
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v))) |
(*.f64 m (/.f64 (-.f64 1 m) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(/.f64 (neg.f64 (*.f64 m m)) v) |
(/.f64 (*.f64 m (neg.f64 m)) v) |
(/.f64 m (/.f64 v (neg.f64 m))) |
(*.f64 (/.f64 m v) (neg.f64 m)) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v)) |
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))) |
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)) |
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v))) |
(*.f64 m (/.f64 (-.f64 1 m) v)) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v)) |
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))) |
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)) |
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v))) |
(*.f64 m (/.f64 (-.f64 1 m) v)) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v)) |
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))) |
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)) |
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v))) |
(*.f64 m (/.f64 (-.f64 1 m) v)) |
m |
(+.f64 (*.f64 -1 (pow.f64 m 2)) m) |
(fma.f64 -1 (*.f64 m m) m) |
(-.f64 m (*.f64 m m)) |
(*.f64 m (-.f64 1 m)) |
(+.f64 (*.f64 -1 (pow.f64 m 2)) m) |
(fma.f64 -1 (*.f64 m m) m) |
(-.f64 m (*.f64 m m)) |
(*.f64 m (-.f64 1 m)) |
(+.f64 (*.f64 -1 (pow.f64 m 2)) m) |
(fma.f64 -1 (*.f64 m m) m) |
(-.f64 m (*.f64 m m)) |
(*.f64 m (-.f64 1 m)) |
(*.f64 -1 (pow.f64 m 2)) |
(neg.f64 (*.f64 m m)) |
(*.f64 m (neg.f64 m)) |
(+.f64 (*.f64 -1 (pow.f64 m 2)) m) |
(fma.f64 -1 (*.f64 m m) m) |
(-.f64 m (*.f64 m m)) |
(*.f64 m (-.f64 1 m)) |
(+.f64 (*.f64 -1 (pow.f64 m 2)) m) |
(fma.f64 -1 (*.f64 m m) m) |
(-.f64 m (*.f64 m m)) |
(*.f64 m (-.f64 1 m)) |
(+.f64 (*.f64 -1 (pow.f64 m 2)) m) |
(fma.f64 -1 (*.f64 m m) m) |
(-.f64 m (*.f64 m m)) |
(*.f64 m (-.f64 1 m)) |
(*.f64 -1 (pow.f64 m 2)) |
(neg.f64 (*.f64 m m)) |
(*.f64 m (neg.f64 m)) |
(+.f64 (*.f64 -1 (pow.f64 m 2)) m) |
(fma.f64 -1 (*.f64 m m) m) |
(-.f64 m (*.f64 m m)) |
(*.f64 m (-.f64 1 m)) |
(+.f64 (*.f64 -1 (pow.f64 m 2)) m) |
(fma.f64 -1 (*.f64 m m) m) |
(-.f64 m (*.f64 m m)) |
(*.f64 m (-.f64 1 m)) |
(+.f64 (*.f64 -1 (pow.f64 m 2)) m) |
(fma.f64 -1 (*.f64 m m) m) |
(-.f64 m (*.f64 m m)) |
(*.f64 m (-.f64 1 m)) |
Compiled 6286 to 3908 computations (37.8% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 325 | 16 | 341 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 327 | 16 | 343 |
| Status | Error | Program |
|---|---|---|
| 0.2b | (*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m) | |
| ▶ | 34.7b | (neg.f64 m) |
| 14.0b | (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) -1) m) (fma.f64 (/.f64 m v) (-.f64 1 m) 1)) | |
| 38.8b | (pow.f64 (sqrt.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 2) | |
| ▶ | 16.9b | (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
| ▶ | 0.1b | (+.f64 (*.f64 (/.f64 m (/.f64 v (-.f64 1 m))) m) (neg.f64 m)) |
| ▶ | 28.8b | (*.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v)) |
| 10.1b | (*.f64 (-.f64 (/.f64 m v) 1) m) | |
| 0.4b | (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 1 m) (sqrt.f64 v)) (/.f64 m (sqrt.f64 v))) 1) m) | |
| 34.0b | (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) | |
| 52.8b | (*.f64 m (*.f64 m (neg.f64 (/.f64 m v)))) | |
| 0.2b | (*.f64 (-.f64 (*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m)))) 1) m) | |
| 0.2b | (*.f64 (-.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -1) 1) m) | |
| 0.1b | (*.f64 m (+.f64 (/.f64 m (/.f64 v (-.f64 1 m))) -1)) | |
| ▶ | 9.5b | (*.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (/.f64 1 v))) 1) m) |
| 34.0b | (*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v)) |
Compiled 440 to 306 computations (30.5% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 (/.f64 m (/.f64 v (-.f64 1 m))) m) | |
| 0.0b | (/.f64 m (/.f64 v (-.f64 1 m))) | |
| 0.0b | (+.f64 (*.f64 (/.f64 m (/.f64 v (-.f64 1 m))) m) (neg.f64 m)) | |
| 0.0b | (/.f64 v (-.f64 1 m)) | |
| ✓ | 0.0b | (/.f64 v (-.f64 1 m)) |
| ✓ | 0.0b | (+.f64 (*.f64 (/.f64 m (/.f64 v (-.f64 1 m))) m) (neg.f64 m)) |
| ✓ | 0.0b | (/.f64 m (/.f64 v (-.f64 1 m))) |
| ✓ | 0.2b | (*.f64 (/.f64 m (/.f64 v (-.f64 1 m))) m) |
Compiled 43 to 24 computations (44.2% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | v | @ | 0 | (*.f64 (/.f64 m (/.f64 v (-.f64 1 m))) m) |
| 1.0ms | m | @ | inf | (/.f64 v (-.f64 1 m)) |
| 1.0ms | v | @ | inf | (*.f64 (/.f64 m (/.f64 v (-.f64 1 m))) m) |
| 1.0ms | m | @ | 0 | (*.f64 (/.f64 m (/.f64 v (-.f64 1 m))) m) |
| 1.0ms | v | @ | -inf | (/.f64 v (-.f64 1 m)) |
| 1× | batch-egg-rewrite |
| 579× | log-prod_binary64 |
| 353× | pow-prod-down_binary64 |
| 286× | fma-neg_binary64 |
| 269× | pow2_binary64 |
| 243× | pow-unpow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 46 |
| 1 | 229 | 38 |
| 2 | 3683 | 38 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 m (/.f64 v (-.f64 1 m))) m) |
(/.f64 m (/.f64 v (-.f64 1 m))) |
(+.f64 (*.f64 (/.f64 m (/.f64 v (-.f64 1 m))) m) (neg.f64 m)) |
(/.f64 v (-.f64 1 m)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 v (+.f64 m 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 v (+.f64 m 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 v (+.f64 m 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 v (+.f64 m 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 v (+.f64 m 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 v (+.f64 m 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 v (/.f64 1 (+.f64 m 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 v (+.f64 m 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 v (+.f64 m 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 v (+.f64 m 1))) (pow.f64 (cbrt.f64 (/.f64 v (+.f64 m 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 v (+.f64 m 1))) 2) (cbrt.f64 (/.f64 v (+.f64 m 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 v) 2) (*.f64 (cbrt.f64 v) (/.f64 1 (+.f64 m 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 v (+.f64 m 1))) (sqrt.f64 (/.f64 v (+.f64 m 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 v) (*.f64 (sqrt.f64 v) (/.f64 1 (+.f64 m 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 v) (/.f64 1 (+.f64 -1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 m 1)) v)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) 1) (/.f64 (cbrt.f64 v) (+.f64 m 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 v) 1) (/.f64 (sqrt.f64 v) (+.f64 m 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 m 1)) -2) (/.f64 v (cbrt.f64 (+.f64 m 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) (pow.f64 (cbrt.f64 (+.f64 m 1)) 2)) (cbrt.f64 (/.f64 v (+.f64 m 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 v) (pow.f64 (cbrt.f64 (+.f64 m 1)) 2)) (/.f64 (sqrt.f64 v) (cbrt.f64 (+.f64 m 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 m 1) -1/2) (/.f64 v (hypot.f64 1 (sqrt.f64 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) (hypot.f64 1 (sqrt.f64 m))) (/.f64 (cbrt.f64 v) (hypot.f64 1 (sqrt.f64 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 v (+.f64 1 (pow.f64 m 3))) (+.f64 1 (fma.f64 m m m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 v (+.f64 1 (*.f64 m m))) (+.f64 m 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (+.f64 m 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 v (+.f64 m 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 v (+.f64 m 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 v (+.f64 m 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 v (+.f64 m 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 m 1) v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 v 3) (pow.f64 (+.f64 m 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 m 1) v) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 v (+.f64 -1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 v (+.f64 m 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 v (+.f64 m 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 v (+.f64 m 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 v (+.f64 m 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 v 3) (pow.f64 (+.f64 m 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 v (+.f64 m 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 v (+.f64 m 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 v) (log1p.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 v) (log1p.f64 m)) 1)))))) |
| 1× | egg-herbie |
| 635× | fma-def_binary64 |
| 517× | distribute-rgt-out_binary64 |
| 439× | sub-neg_binary64 |
| 340× | fma-neg_binary64 |
| 309× | distribute-rgt-neg-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 1332 |
| 1 | 133 | 1213 |
| 2 | 368 | 1201 |
| 3 | 1177 | 1005 |
| 4 | 5169 | 999 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 m 2) v) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 m v) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(*.f64 -1 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(*.f64 -1 m) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(*.f64 -1 m) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
v |
(+.f64 v (*.f64 v m)) |
(+.f64 v (+.f64 (*.f64 v (pow.f64 m 2)) (*.f64 v m))) |
(+.f64 (*.f64 v (pow.f64 m 3)) (+.f64 v (+.f64 (*.f64 v (pow.f64 m 2)) (*.f64 v m)))) |
(*.f64 -1 (/.f64 v m)) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 2))) (*.f64 -1 (/.f64 v m))) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 2))) (*.f64 -1 (/.f64 v m)))) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 4))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 2))) (*.f64 -1 (/.f64 v m))))) |
(*.f64 -1 (/.f64 v m)) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 2))) (*.f64 -1 (/.f64 v m))) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 2))) (*.f64 -1 (/.f64 v m)))) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 4))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 2))) (*.f64 -1 (/.f64 v m))))) |
| Outputs |
|---|
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v))) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v))) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v))) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v))) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v))) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v))) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v))) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v))) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v))) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v))) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
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(/.f64 m v) |
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(-.f64 (/.f64 m (/.f64 v m)) m) |
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v |
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(-.f64 (/.f64 (neg.f64 v) m) (/.f64 v (*.f64 m m))) |
(*.f64 (/.f64 v m) (+.f64 -1 (/.f64 -1 m))) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 2))) (*.f64 -1 (/.f64 v m)))) |
(fma.f64 -1 (/.f64 v (pow.f64 m 3)) (*.f64 -1 (+.f64 (/.f64 v (*.f64 m m)) (/.f64 v m)))) |
(-.f64 (-.f64 (/.f64 (neg.f64 v) m) (/.f64 v (*.f64 m m))) (/.f64 v (pow.f64 m 3))) |
(-.f64 (*.f64 (/.f64 v m) (+.f64 -1 (/.f64 -1 m))) (/.f64 v (pow.f64 m 3))) |
(-.f64 (*.f64 (/.f64 -1 (*.f64 m m)) (+.f64 v (/.f64 v m))) (/.f64 v m)) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 4))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 2))) (*.f64 -1 (/.f64 v m))))) |
(fma.f64 -1 (/.f64 v (pow.f64 m 3)) (fma.f64 -1 (/.f64 v (pow.f64 m 4)) (*.f64 -1 (+.f64 (/.f64 v (*.f64 m m)) (/.f64 v m))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 v) (pow.f64 m 4)) (/.f64 v (*.f64 m m))) (/.f64 v m)) (/.f64 v (pow.f64 m 3))) |
(-.f64 (*.f64 (/.f64 v m) (+.f64 -1 (/.f64 -1 m))) (+.f64 (/.f64 v (pow.f64 m 3)) (/.f64 v (pow.f64 m 4)))) |
(*.f64 (+.f64 (/.f64 v m) (/.f64 v (*.f64 m m))) (+.f64 -1 (/.f64 -1 (*.f64 m m)))) |
(*.f64 (+.f64 (/.f64 v m) (/.f64 v (pow.f64 m 3))) (+.f64 -1 (/.f64 -1 m))) |
Compiled 5 to 3 computations (40% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v)) | |
| 0.0b | (/.f64 (*.f64 m (-.f64 1 m)) v) | |
| 0.0b | (*.f64 m (-.f64 1 m)) | |
| 0.0b | (*.f64 m (-.f64 1 m)) | |
| 0.0b | (/.f64 (*.f64 m (-.f64 1 m)) v) | |
| ✓ | 0.2b | (*.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v)) |
Compiled 29 to 17 computations (41.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | m | @ | 0 | (*.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v)) |
| 0.0ms | m | @ | inf | (*.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v)) |
| 0.0ms | m | @ | -inf | (*.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v)) |
| 0.0ms | v | @ | inf | (*.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v)) |
| 0.0ms | v | @ | -inf | (*.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v)) |
| 1× | batch-egg-rewrite |
| 486× | log-prod_binary64 |
| 376× | prod-exp_binary64 |
| 363× | exp-prod_binary64 |
| 303× | pow-prod-down_binary64 |
| 232× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 172 | 13 |
| 2 | 2425 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (*.f64 (/.f64 m v) (-.f64 1 m)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (*.f64 (/.f64 m v) (-.f64 1 m))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (*.f64 (/.f64 m v) (-.f64 1 m))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (*.f64 (/.f64 m v) (-.f64 1 m))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m (/.f64 v (*.f64 m (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 v (*.f64 m (*.f64 m (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) (/.f64 v (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (*.f64 m (-.f64 1 m))) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 m (*.f64 m (-.f64 1 m)))) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m (neg.f64 (-.f64 1 m))) m) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (*.f64 m (neg.f64 (-.f64 1 m)))) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m (*.f64 m (-.f64 1 m))) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m (*.f64 m (-.f64 1 m))) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m (*.f64 m (-.f64 1 m))) (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (*.f64 m (*.f64 m (-.f64 1 m)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))))) 2)) (cbrt.f64 (log.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))))) (sqrt.f64 (log.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 m) 1) (log.f64 (/.f64 v (*.f64 m (-.f64 1 m))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 m (*.f64 m (-.f64 1 m)))) (*.f64 (log.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 m) 1) (log.f64 (*.f64 (/.f64 m v) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 m) (*.f64 (log.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 m) 1) (*.f64 (log.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 1) (log.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) (*.f64 (log.f64 m) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 1) (*.f64 (log.f64 m) 1))))))) |
| 1× | egg-herbie |
| 817× | fma-def_binary64 |
| 402× | fma-neg_binary64 |
| 353× | cancel-sign-sub-inv_binary64 |
| 320× | associate-*l/_binary64 |
| 249× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 382 |
| 1 | 40 | 361 |
| 2 | 88 | 361 |
| 3 | 236 | 298 |
| 4 | 842 | 298 |
| 5 | 2891 | 298 |
| 6 | 7616 | 298 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 m 2) v) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
| Outputs |
|---|
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 m (/.f64 m v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m))) |
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) |
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m))) |
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) |
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m))) |
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) |
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m))) |
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) |
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m))) |
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) |
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m))) |
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) |
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m))) |
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) |
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m))) |
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) |
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m))) |
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) |
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m))) |
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) |
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m))) |
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) |
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m))) |
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) |
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m))) |
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) |
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m))) |
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) |
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m))) |
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) |
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m))) |
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) |
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m))) |
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) |
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m))) |
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) |
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m))) |
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) |
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m))) |
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) |
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m))) |
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) |
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 15.3b | (/.f64 (pow.f64 m 2) v) | |
| 0.0b | (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) | |
| ✓ | 0.0b | (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
| ✓ | 15.3b | (/.f64 (pow.f64 m 2) v) |
Compiled 26 to 17 computations (34.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | m | @ | 0 | (/.f64 (pow.f64 m 2) v) |
| 1.0ms | v | @ | inf | (/.f64 (pow.f64 m 2) v) |
| 0.0ms | v | @ | -inf | (/.f64 (pow.f64 m 2) v) |
| 0.0ms | v | @ | 0 | (/.f64 (pow.f64 m 2) v) |
| 0.0ms | m | @ | inf | (/.f64 (pow.f64 m 2) v) |
| 1× | batch-egg-rewrite |
| 857× | pow1_binary64 |
| 798× | add-log-exp_binary64 |
| 797× | log1p-expm1-u_binary64 |
| 797× | expm1-log1p-u_binary64 |
| 780× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 18 |
| 1 | 196 | 17 |
| 2 | 2698 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 m 2) v) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 m (/.f64 v m))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (*.f64 m (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m m) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m m) (/.f64 1 (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (/.f64 v m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 m (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 m (/.f64 v m))) (pow.f64 (cbrt.f64 (/.f64 m (/.f64 v m))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 m (/.f64 v m))) 2) (cbrt.f64 (/.f64 m (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 m 4)) (*.f64 (pow.f64 (cbrt.f64 m) 2) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m 1) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) 1) (/.f64 (pow.f64 (cbrt.f64 m) 2) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (pow.f64 (cbrt.f64 v) 2)) (/.f64 m (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 v) 2)) (/.f64 (*.f64 m m) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 (/.f64 m (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 v)) (/.f64 (*.f64 m m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) (sqrt.f64 v)) (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (/.f64 v m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 m (/.f64 v m))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (sqrt.f64 v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 m (/.f64 v m)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 v m) m) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 m (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 m 4) (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 m (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 m (/.f64 v m)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 m (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 m (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 m (/.f64 v m)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 m (/.f64 m (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 m (/.f64 v m)) m)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 m (/.f64 m (/.f64 v m)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 m m) (+.f64 m (/.f64 m (/.f64 v m)))) (/.f64 (/.f64 (pow.f64 m 4) (*.f64 v v)) (+.f64 m (/.f64 m (/.f64 v m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 m (/.f64 m (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 m (/.f64 m (/.f64 v m))) 2) (/.f64 1 (+.f64 m (/.f64 m (/.f64 v m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 m (/.f64 m (/.f64 v m)))) (pow.f64 (cbrt.f64 (+.f64 m (/.f64 m (/.f64 v m)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 m (/.f64 m (/.f64 v m)))) 2) (cbrt.f64 (+.f64 m (/.f64 m (/.f64 v m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (sqrt.f64 m) (/.f64 m (sqrt.f64 v))) (hypot.f64 (sqrt.f64 m) (/.f64 m (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 m 3) (pow.f64 (/.f64 m (/.f64 v m)) 3)) (/.f64 1 (-.f64 (pow.f64 (+.f64 m (/.f64 m (/.f64 v m))) 2) (/.f64 (pow.f64 m 3) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 m (/.f64 m (/.f64 v m))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 m) (/.f64 m (sqrt.f64 v))) (-.f64 (sqrt.f64 m) (/.f64 m (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 m (/.f64 m (/.f64 v m))) 2) (/.f64 (pow.f64 m 3) v)) (+.f64 (pow.f64 m 3) (pow.f64 (/.f64 m (/.f64 v m)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 m (/.f64 m (/.f64 v m))) (pow.f64 (+.f64 m (/.f64 m (/.f64 v m))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 m (/.f64 m (/.f64 v m))) 2) (+.f64 m (/.f64 m (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 m 3) (pow.f64 (/.f64 m (/.f64 v m)) 3)) (-.f64 (pow.f64 (+.f64 m (/.f64 m (/.f64 v m))) 2) (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 m 3) (pow.f64 (/.f64 m (/.f64 v m)) 3)) (+.f64 (/.f64 (pow.f64 m 4) (*.f64 v v)) (-.f64 (*.f64 m m) (/.f64 (pow.f64 m 3) v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 m 3) (pow.f64 (/.f64 m (/.f64 v m)) 3))) (neg.f64 (-.f64 (pow.f64 (+.f64 m (/.f64 m (/.f64 v m))) 2) (/.f64 (pow.f64 m 3) v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 m (/.f64 m (/.f64 v m))) 2)) (neg.f64 (+.f64 m (/.f64 m (/.f64 v m)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 m 3) (pow.f64 (/.f64 m (/.f64 v m)) 3)) (-.f64 (pow.f64 (+.f64 m (/.f64 m (/.f64 v m))) 2) (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (pow.f64 m 4) (*.f64 v v)) (*.f64 m m)) (+.f64 m (/.f64 m (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 m (/.f64 m (/.f64 v m))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 m (/.f64 m (/.f64 v m)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (sqrt.f64 m) (/.f64 m (sqrt.f64 v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 m (/.f64 m (/.f64 v m))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 m (/.f64 m (/.f64 v m))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 m (/.f64 m (/.f64 v m)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 m (/.f64 m (/.f64 v m))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 m (/.f64 m (/.f64 v m)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 m (/.f64 m (/.f64 v m)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m -1 (/.f64 m (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m m) (/.f64 1 v) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 m (/.f64 m (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 m (/.f64 m (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 m (/.f64 v m)) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 m (/.f64 v m))) 2) (cbrt.f64 (/.f64 m (/.f64 v m))) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (cbrt.f64 m) (/.f64 m (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (sqrt.f64 m) (/.f64 m (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)) m)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 m (/.f64 m (/.f64 v m))))))))) |
| 1× | egg-herbie |
| 821× | fma-def_binary64 |
| 517× | fma-neg_binary64 |
| 444× | associate-*r/_binary64 |
| 434× | unswap-sqr_binary64 |
| 398× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 30 |
| 1 | 15 | 30 |
| 2 | 25 | 30 |
| 3 | 51 | 30 |
| 4 | 113 | 30 |
| 5 | 342 | 30 |
| 6 | 1288 | 30 |
| 7 | 3905 | 30 |
| 8 | 6417 | 30 |
| 9 | 7349 | 30 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 m) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(*.f64 -1 m) |
(*.f64 -1 m) |
| Outputs |
|---|
(*.f64 -1 m) |
(neg.f64 m) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 m (/.f64 m v)) |
(*.f64 -1 m) |
(neg.f64 m) |
(*.f64 -1 m) |
(neg.f64 m) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (/.f64 1 v)) | |
| 0.3b | (*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (/.f64 1 v))) | |
| 0.1b | (*.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (/.f64 1 v))) 1) m) | |
| 0.0b | (*.f64 m (-.f64 1 m)) | |
| 0.0b | (*.f64 m (-.f64 1 m)) | |
| ✓ | 0.1b | (*.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (/.f64 1 v))) 1) m) |
| ✓ | 0.3b | (*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (/.f64 1 v))) |
| ✓ | 0.3b | (*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (/.f64 1 v)) |
Compiled 89 to 62 computations (30.3% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | m | @ | -inf | (*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (/.f64 1 v))) |
| 1.0ms | m | @ | 0 | (*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (/.f64 1 v)) |
| 1.0ms | m | @ | inf | (*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (/.f64 1 v)) |
| 1.0ms | v | @ | 0 | (*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (/.f64 1 v)) |
| 1.0ms | m | @ | -inf | (*.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (/.f64 1 v))) 1) m) |
| 1× | batch-egg-rewrite |
| 674× | log-prod_binary64 |
| 596× | prod-diff_binary64 |
| 321× | pow2_binary64 |
| 232× | fma-def_binary64 |
| 227× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 44 |
| 1 | 263 | 38 |
| 2 | 3517 | 38 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (/.f64 1 v)) |
(*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (/.f64 1 v))) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (/.f64 1 v))) 1) m) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 v (sqrt.f64 (*.f64 m (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) (/.f64 v (cbrt.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 m) (/.f64 v (sqrt.f64 (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 m (-.f64 1 m)) 1/4) (/.f64 v (pow.f64 (*.f64 m (-.f64 1 m)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (*.f64 m (-.f64 1 m)))) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (sqrt.f64 (*.f64 m (-.f64 1 m)))) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) -1) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 m (-.f64 1 m)) 3/2) (pow.f64 v 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 m (-.f64 1 m)) 3/2) (/.f64 (pow.f64 v -2) v)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (pow.f64 v -2) v) (pow.f64 (*.f64 m (-.f64 1 m)) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (sqrt.f64 (*.f64 m (-.f64 1 m)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 m (-.f64 1 m)) 3/2) (pow.f64 v 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 m (-.f64 1 m)) 3/2) (/.f64 (pow.f64 v -2) v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 v -2) v) (pow.f64 (*.f64 m (-.f64 1 m)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 m (-.f64 1 m)) v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 m (-.f64 1 m)) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (-.f64 1 m)) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m (-.f64 1 m)) -1) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 (*.f64 m (-.f64 1 m)) v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 (*.f64 m (-.f64 1 m)) v)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (*.f64 m (-.f64 1 m)) v))) 2) (cbrt.f64 (+.f64 1 (/.f64 (*.f64 m (-.f64 1 m)) v))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (*.f64 m (-.f64 1 m)) v))) (sqrt.f64 (+.f64 1 (/.f64 (*.f64 m (-.f64 1 m)) v))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v)) (*.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) -1)) m)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) -1)) m))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) -1)) m))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) -1)) m))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m (neg.f64 m)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 3) -1) m) (+.f64 (pow.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 2) (+.f64 1 (/.f64 (*.f64 m (-.f64 1 m)) v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 2) -1) m) (+.f64 1 (/.f64 (*.f64 m (-.f64 1 m)) v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 (pow.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 3) -1)) (+.f64 (pow.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 2) (+.f64 1 (/.f64 (*.f64 m (-.f64 1 m)) v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 (pow.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 2) -1)) (+.f64 1 (/.f64 (*.f64 m (-.f64 1 m)) v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m (neg.f64 m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m (neg.f64 m)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m (neg.f64 m)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m (neg.f64 m))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m (neg.f64 m))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 m 3) (pow.f64 (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) -1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) -1) 3) (pow.f64 m 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m (neg.f64 m)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) -1)) m))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m (neg.f64 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m (neg.f64 m)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 m 3) (pow.f64 (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) -1) 3) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m (neg.f64 m))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m (neg.f64 m))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m (neg.f64 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m (neg.f64 m))) 1)))))) |
| 1× | egg-herbie |
| 690× | associate-/l*_binary64 |
| 681× | fma-def_binary64 |
| 410× | fma-neg_binary64 |
| 396× | cancel-sign-sub-inv_binary64 |
| 380× | div-sub_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 1157 |
| 1 | 234 | 1040 |
| 2 | 635 | 885 |
| 3 | 2107 | 865 |
| 4 | 7615 | 865 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sqrt.f64 -1) m) v) |
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) v))) (/.f64 (*.f64 (sqrt.f64 -1) m) v)) |
(-.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) m) v) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) v)))) (*.f64 1/8 (/.f64 1 (*.f64 v (*.f64 (pow.f64 (sqrt.f64 -1) 3) m))))) |
(-.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) m) v) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (*.f64 v (pow.f64 m 2))))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) v))))) (*.f64 1/8 (/.f64 1 (*.f64 v (*.f64 (pow.f64 (sqrt.f64 -1) 3) m))))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) m) v)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) m) v)) (*.f64 1/2 (/.f64 (sqrt.f64 -1) v))) |
(+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 -1) (*.f64 v m))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) m) v)) (*.f64 1/2 (/.f64 (sqrt.f64 -1) v)))) |
(+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 -1) (*.f64 v m))) (+.f64 (*.f64 1/16 (/.f64 (sqrt.f64 -1) (*.f64 v (pow.f64 m 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) m) v)) (*.f64 1/2 (/.f64 (sqrt.f64 -1) v))))) |
(*.f64 (/.f64 1 v) (sqrt.f64 (*.f64 m (-.f64 1 m)))) |
(*.f64 (/.f64 1 v) (sqrt.f64 (*.f64 m (-.f64 1 m)))) |
(*.f64 (/.f64 1 v) (sqrt.f64 (*.f64 m (-.f64 1 m)))) |
(*.f64 (/.f64 1 v) (sqrt.f64 (*.f64 m (-.f64 1 m)))) |
(*.f64 (/.f64 1 v) (sqrt.f64 (*.f64 m (-.f64 1 m)))) |
(*.f64 (/.f64 1 v) (sqrt.f64 (*.f64 m (-.f64 1 m)))) |
(*.f64 (/.f64 1 v) (sqrt.f64 (*.f64 m (-.f64 1 m)))) |
(*.f64 (/.f64 1 v) (sqrt.f64 (*.f64 m (-.f64 1 m)))) |
(*.f64 (/.f64 1 v) (sqrt.f64 (*.f64 m (-.f64 1 m)))) |
(*.f64 (/.f64 1 v) (sqrt.f64 (*.f64 m (-.f64 1 m)))) |
(*.f64 (/.f64 1 v) (sqrt.f64 (*.f64 m (-.f64 1 m)))) |
(*.f64 (/.f64 1 v) (sqrt.f64 (*.f64 m (-.f64 1 m)))) |
(/.f64 m v) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) m) v))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) m) v))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) m) v))) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(*.f64 -1 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 3)) v) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v)) (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 3)) v)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v)) (+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 3)) v))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v)) (+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 3)) v))) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(*.f64 -1 m) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(*.f64 -1 m) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
| Outputs |
|---|
(/.f64 (*.f64 (sqrt.f64 -1) m) v) |
(*.f64 (/.f64 (sqrt.f64 -1) v) m) |
(*.f64 m (/.f64 (sqrt.f64 -1) v)) |
(*.f64 (sqrt.f64 -1) (/.f64 m v)) |
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) v))) (/.f64 (*.f64 (sqrt.f64 -1) m) v)) |
(+.f64 (/.f64 (*.f64 (sqrt.f64 -1) m) v) (/.f64 1/2 (*.f64 (sqrt.f64 -1) v))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 -1) v) m) (/.f64 1/2 (*.f64 (sqrt.f64 -1) v))) |
(fma.f64 (/.f64 (sqrt.f64 -1) v) m (/.f64 1/2 (*.f64 (sqrt.f64 -1) v))) |
(fma.f64 m (/.f64 (sqrt.f64 -1) v) (/.f64 1/2 (*.f64 (sqrt.f64 -1) v))) |
(-.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) m) v) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) v)))) (*.f64 1/8 (/.f64 1 (*.f64 v (*.f64 (pow.f64 (sqrt.f64 -1) 3) m))))) |
(+.f64 (/.f64 (*.f64 (sqrt.f64 -1) m) v) (-.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) v)) (/.f64 1/8 (*.f64 v (*.f64 m (pow.f64 (sqrt.f64 -1) 3)))))) |
(+.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 -1) v) m) (/.f64 1/2 (*.f64 (sqrt.f64 -1) v))) (/.f64 -1/8 (*.f64 v (*.f64 (sqrt.f64 -1) (neg.f64 m))))) |
(-.f64 (fma.f64 (/.f64 (sqrt.f64 -1) v) m (/.f64 1/2 (*.f64 (sqrt.f64 -1) v))) (/.f64 (/.f64 -1/8 (*.f64 (sqrt.f64 -1) m)) v)) |
(fma.f64 m (/.f64 (sqrt.f64 -1) v) (*.f64 (/.f64 (/.f64 1 v) (sqrt.f64 -1)) (-.f64 1/2 (/.f64 1/8 (neg.f64 m))))) |
(-.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 -1) m) v) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (*.f64 v (pow.f64 m 2))))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) v))))) (*.f64 1/8 (/.f64 1 (*.f64 v (*.f64 (pow.f64 (sqrt.f64 -1) 3) m))))) |
(+.f64 (/.f64 (*.f64 (sqrt.f64 -1) m) v) (-.f64 (+.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) v)) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (*.f64 v (*.f64 m m))))) (/.f64 1/8 (*.f64 v (*.f64 m (pow.f64 (sqrt.f64 -1) 3)))))) |
(+.f64 (+.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) v)) (/.f64 1/16 (*.f64 v (*.f64 (*.f64 m m) (pow.f64 (sqrt.f64 -1) 5))))) (-.f64 (*.f64 (/.f64 (sqrt.f64 -1) v) m) (/.f64 1/8 (*.f64 v (*.f64 (sqrt.f64 -1) (neg.f64 m)))))) |
(-.f64 (+.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) v)) (fma.f64 (/.f64 (sqrt.f64 -1) v) m (/.f64 1/16 (*.f64 m (*.f64 (*.f64 m v) (pow.f64 (sqrt.f64 -1) 5)))))) (/.f64 (/.f64 -1/8 (*.f64 (sqrt.f64 -1) m)) v)) |
(+.f64 (*.f64 (/.f64 (/.f64 1 v) (sqrt.f64 -1)) (-.f64 1/2 (/.f64 1/8 (neg.f64 m)))) (fma.f64 m (/.f64 (sqrt.f64 -1) v) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (*.f64 m (*.f64 m v)))))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) m) v)) |
(neg.f64 (/.f64 (*.f64 (sqrt.f64 -1) m) v)) |
(/.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 v m)) |
(*.f64 (/.f64 (sqrt.f64 -1) v) (neg.f64 m)) |
(*.f64 m (/.f64 (neg.f64 (sqrt.f64 -1)) v)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) m) v)) (*.f64 1/2 (/.f64 (sqrt.f64 -1) v))) |
(fma.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) m) v) (*.f64 1/2 (/.f64 (sqrt.f64 -1) v))) |
(-.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) v)) (*.f64 (/.f64 (sqrt.f64 -1) v) m)) |
(*.f64 (/.f64 (sqrt.f64 -1) v) (-.f64 1/2 m)) |
(+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 -1) (*.f64 v m))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) m) v)) (*.f64 1/2 (/.f64 (sqrt.f64 -1) v)))) |
(fma.f64 1/8 (/.f64 (sqrt.f64 -1) (*.f64 m v)) (fma.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) m) v) (*.f64 1/2 (/.f64 (sqrt.f64 -1) v)))) |
(fma.f64 1/8 (/.f64 (sqrt.f64 -1) (*.f64 m v)) (-.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) v)) (*.f64 (/.f64 (sqrt.f64 -1) v) m))) |
(fma.f64 1/8 (/.f64 (sqrt.f64 -1) (*.f64 m v)) (*.f64 (/.f64 (sqrt.f64 -1) v) (-.f64 1/2 m))) |
(*.f64 (/.f64 (sqrt.f64 -1) v) (+.f64 (-.f64 1/2 m) (/.f64 1/8 m))) |
(+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 -1) (*.f64 v m))) (+.f64 (*.f64 1/16 (/.f64 (sqrt.f64 -1) (*.f64 v (pow.f64 m 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) m) v)) (*.f64 1/2 (/.f64 (sqrt.f64 -1) v))))) |
(fma.f64 1/8 (/.f64 (sqrt.f64 -1) (*.f64 m v)) (fma.f64 1/16 (/.f64 (/.f64 (sqrt.f64 -1) v) (*.f64 m m)) (fma.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) m) v) (*.f64 1/2 (/.f64 (sqrt.f64 -1) v))))) |
(fma.f64 1/8 (/.f64 (sqrt.f64 -1) (*.f64 m v)) (fma.f64 1/16 (/.f64 (sqrt.f64 -1) (*.f64 m (*.f64 m v))) (-.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) v)) (*.f64 (/.f64 (sqrt.f64 -1) v) m)))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 -1) v) (-.f64 1/2 m)) (*.f64 (/.f64 (sqrt.f64 -1) v) (+.f64 (/.f64 1/8 m) (/.f64 1/16 (*.f64 m m))))) |
(*.f64 (/.f64 (sqrt.f64 -1) v) (+.f64 (-.f64 1/2 m) (+.f64 (/.f64 1/16 (*.f64 m m)) (/.f64 1/8 m)))) |
(*.f64 (/.f64 1 v) (sqrt.f64 (*.f64 m (-.f64 1 m)))) |
(/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v) |
(/.f64 (sqrt.f64 (-.f64 m (*.f64 m m))) v) |
(*.f64 (/.f64 1 v) (sqrt.f64 (*.f64 m (-.f64 1 m)))) |
(/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v) |
(/.f64 (sqrt.f64 (-.f64 m (*.f64 m m))) v) |
(*.f64 (/.f64 1 v) (sqrt.f64 (*.f64 m (-.f64 1 m)))) |
(/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v) |
(/.f64 (sqrt.f64 (-.f64 m (*.f64 m m))) v) |
(*.f64 (/.f64 1 v) (sqrt.f64 (*.f64 m (-.f64 1 m)))) |
(/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v) |
(/.f64 (sqrt.f64 (-.f64 m (*.f64 m m))) v) |
(*.f64 (/.f64 1 v) (sqrt.f64 (*.f64 m (-.f64 1 m)))) |
(/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v) |
(/.f64 (sqrt.f64 (-.f64 m (*.f64 m m))) v) |
(*.f64 (/.f64 1 v) (sqrt.f64 (*.f64 m (-.f64 1 m)))) |
(/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v) |
(/.f64 (sqrt.f64 (-.f64 m (*.f64 m m))) v) |
(*.f64 (/.f64 1 v) (sqrt.f64 (*.f64 m (-.f64 1 m)))) |
(/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v) |
(/.f64 (sqrt.f64 (-.f64 m (*.f64 m m))) v) |
(*.f64 (/.f64 1 v) (sqrt.f64 (*.f64 m (-.f64 1 m)))) |
(/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v) |
(/.f64 (sqrt.f64 (-.f64 m (*.f64 m m))) v) |
(*.f64 (/.f64 1 v) (sqrt.f64 (*.f64 m (-.f64 1 m)))) |
(/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v) |
(/.f64 (sqrt.f64 (-.f64 m (*.f64 m m))) v) |
(*.f64 (/.f64 1 v) (sqrt.f64 (*.f64 m (-.f64 1 m)))) |
(/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v) |
(/.f64 (sqrt.f64 (-.f64 m (*.f64 m m))) v) |
(*.f64 (/.f64 1 v) (sqrt.f64 (*.f64 m (-.f64 1 m)))) |
(/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v) |
(/.f64 (sqrt.f64 (-.f64 m (*.f64 m m))) v) |
(*.f64 (/.f64 1 v) (sqrt.f64 (*.f64 m (-.f64 1 m)))) |
(/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v) |
(/.f64 (sqrt.f64 (-.f64 m (*.f64 m m))) v) |
(/.f64 m v) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v))) |
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))) |
(*.f64 (-.f64 1 m) (/.f64 m v)) |
(*.f64 m (/.f64 (-.f64 1 m) v)) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v))) |
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))) |
(*.f64 (-.f64 1 m) (/.f64 m v)) |
(*.f64 m (/.f64 (-.f64 1 m) v)) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v))) |
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))) |
(*.f64 (-.f64 1 m) (/.f64 m v)) |
(*.f64 m (/.f64 (-.f64 1 m) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(neg.f64 (/.f64 (*.f64 m m) v)) |
(/.f64 (*.f64 m (neg.f64 m)) v) |
(/.f64 (neg.f64 m) (/.f64 v m)) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v))) |
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))) |
(*.f64 (-.f64 1 m) (/.f64 m v)) |
(*.f64 m (/.f64 (-.f64 1 m) v)) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v))) |
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))) |
(*.f64 (-.f64 1 m) (/.f64 m v)) |
(*.f64 m (/.f64 (-.f64 1 m) v)) |
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) |
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v))) |
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))) |
(*.f64 (-.f64 1 m) (/.f64 m v)) |
(*.f64 m (/.f64 (-.f64 1 m) v)) |
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v) |
(neg.f64 (/.f64 (*.f64 m m) v)) |
(/.f64 (*.f64 m (neg.f64 m)) v) |
(/.f64 (neg.f64 m) (/.f64 v m)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) m) v))) |
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v))) |
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))) |
(*.f64 (-.f64 1 m) (/.f64 m v)) |
(*.f64 m (/.f64 (-.f64 1 m) v)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) m) v))) |
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v))) |
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))) |
(*.f64 (-.f64 1 m) (/.f64 m v)) |
(*.f64 m (/.f64 (-.f64 1 m) v)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) m) v))) |
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v))) |
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))) |
(*.f64 (-.f64 1 m) (/.f64 m v)) |
(*.f64 m (/.f64 (-.f64 1 m) v)) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v))) |
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))) |
(*.f64 (-.f64 1 m) (/.f64 m v)) |
(*.f64 m (/.f64 (-.f64 1 m) v)) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v))) |
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))) |
(*.f64 (-.f64 1 m) (/.f64 m v)) |
(*.f64 m (/.f64 (-.f64 1 m) v)) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v))) |
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))) |
(*.f64 (-.f64 1 m) (/.f64 m v)) |
(*.f64 m (/.f64 (-.f64 1 m) v)) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v))) |
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))) |
(*.f64 (-.f64 1 m) (/.f64 m v)) |
(*.f64 m (/.f64 (-.f64 1 m) v)) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v))) |
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))) |
(*.f64 (-.f64 1 m) (/.f64 m v)) |
(*.f64 m (/.f64 (-.f64 1 m) v)) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v))) |
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))) |
(*.f64 (-.f64 1 m) (/.f64 m v)) |
(*.f64 m (/.f64 (-.f64 1 m) v)) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v))) |
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))) |
(*.f64 (-.f64 1 m) (/.f64 m v)) |
(*.f64 m (/.f64 (-.f64 1 m) v)) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v))) |
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))) |
(*.f64 (-.f64 1 m) (/.f64 m v)) |
(*.f64 m (/.f64 (-.f64 1 m) v)) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v))) |
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))) |
(*.f64 (-.f64 1 m) (/.f64 m v)) |
(*.f64 m (/.f64 (-.f64 1 m) v)) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v))) |
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))) |
(*.f64 (-.f64 1 m) (/.f64 m v)) |
(*.f64 m (/.f64 (-.f64 1 m) v)) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v))) |
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))) |
(*.f64 (-.f64 1 m) (/.f64 m v)) |
(*.f64 m (/.f64 (-.f64 1 m) v)) |
(/.f64 (*.f64 m (-.f64 1 m)) v) |
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v))) |
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))) |
(*.f64 (-.f64 1 m) (/.f64 m v)) |
(*.f64 m (/.f64 (-.f64 1 m) v)) |
(*.f64 -1 m) |
(neg.f64 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (-.f64 1 m) (/.f64 m (/.f64 v m))) m) |
(-.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) m) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (-.f64 1 m) (/.f64 m (/.f64 v m))) m) |
(-.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) m) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(*.f64 (-.f64 1 m) (/.f64 m (/.f64 v m))) |
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (-.f64 1 m) (/.f64 m (/.f64 v m))) m) |
(-.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) m) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (-.f64 1 m) (/.f64 m (/.f64 v m))) m) |
(-.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) m) |
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 3)) v) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v)) (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 3)) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(*.f64 (-.f64 1 m) (/.f64 m (/.f64 v m))) |
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v)) (+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 3)) v))) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (-.f64 1 m) (/.f64 m (/.f64 v m))) m) |
(-.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) m) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v)) (+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 3)) v))) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (-.f64 1 m) (/.f64 m (/.f64 v m))) m) |
(-.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) m) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) |
(*.f64 (-.f64 1 m) (/.f64 m (/.f64 v m))) |
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (-.f64 1 m) (/.f64 m (/.f64 v m))) m) |
(-.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) m) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (-.f64 1 m) (/.f64 m (/.f64 v m))) m) |
(-.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) m) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (-.f64 1 m) (/.f64 m (/.f64 v m))) m) |
(-.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) m) |
(*.f64 -1 m) |
(neg.f64 m) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (-.f64 1 m) (/.f64 m (/.f64 v m))) m) |
(-.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) m) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (-.f64 1 m) (/.f64 m (/.f64 v m))) m) |
(-.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) m) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (-.f64 1 m) (/.f64 m (/.f64 v m))) m) |
(-.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) m) |
(*.f64 -1 m) |
(neg.f64 m) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (-.f64 1 m) (/.f64 m (/.f64 v m))) m) |
(-.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) m) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (-.f64 1 m) (/.f64 m (/.f64 v m))) m) |
(-.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) m) |
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v))) |
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (-.f64 1 m) (/.f64 m (/.f64 v m))) m) |
(-.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) m) |
Compiled 12060 to 6245 computations (48.2% saved)
17 alts after pruning (15 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 694 | 15 | 709 |
| Fresh | 11 | 0 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 2 | 4 |
| Total | 708 | 17 | 725 |
| Status | Error | Program |
|---|---|---|
| 34.0b | (/.f64 (*.f64 m m) (/.f64 v (-.f64 1 m))) | |
| 10.2b | (+.f64 (*.f64 -1 m) (pow.f64 (/.f64 m (sqrt.f64 v)) 2)) | |
| ▶ | 16.9b | (-.f64 (/.f64 (*.f64 m m) v) m) |
| ✓ | 34.7b | (neg.f64 m) |
| 52.8b | (*.f64 m (*.f64 m (/.f64 (neg.f64 m) v))) | |
| 13.9b | (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 2) -1) m) (+.f64 1 (/.f64 (*.f64 m (-.f64 1 m)) v))) | |
| 10.1b | (-.f64 (/.f64 m (/.f64 v m)) m) | |
| ▶ | 38.7b | (*.f64 m (/.f64 m v)) |
| ▶ | 28.8b | (/.f64 m (/.f64 v (*.f64 m (-.f64 1 m)))) |
| ▶ | 10.2b | (+.f64 (*.f64 -1 m) (*.f64 m (*.f64 m (/.f64 1 v)))) |
| 61.3b | (-.f64 m (/.f64 m (/.f64 v m))) | |
| ✓ | 28.8b | (*.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v)) |
| 28.8b | (*.f64 m (*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))) | |
| 34.0b | (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) | |
| ▶ | 10.1b | (*.f64 (-.f64 (/.f64 m v) 1) m) |
| 52.8b | (*.f64 m (/.f64 (*.f64 m (neg.f64 m)) v)) | |
| 10.2b | (+.f64 (*.f64 -1 m) (pow.f64 (/.f64 (/.f64 v m) m) -1)) |
Compiled 367 to 242 computations (34.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 (-.f64 (/.f64 m v) 1) m) | |
| ✓ | 0.1b | (*.f64 (-.f64 (/.f64 m v) 1) m) |
Compiled 20 to 9 computations (55% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | m | @ | -inf | (*.f64 (-.f64 (/.f64 m v) 1) m) |
| 1.0ms | m | @ | 0 | (*.f64 (-.f64 (/.f64 m v) 1) m) |
| 1.0ms | v | @ | 0 | (*.f64 (-.f64 (/.f64 m v) 1) m) |
| 0.0ms | v | @ | -inf | (*.f64 (-.f64 (/.f64 m v) 1) m) |
| 0.0ms | m | @ | inf | (*.f64 (-.f64 (/.f64 m v) 1) m) |
| 1× | batch-egg-rewrite |
| 796× | pow1_binary64 |
| 740× | add-log-exp_binary64 |
| 739× | log1p-expm1-u_binary64 |
| 739× | expm1-log1p-u_binary64 |
| 725× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 150 | 10 |
| 2 | 2010 | 10 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 (/.f64 m v) 1) m) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 m v) m) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (/.f64 m v)) (*.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 m (+.f64 (/.f64 m v) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 m v) 3) -1) m) (+.f64 (pow.f64 (/.f64 m v) 2) (+.f64 (/.f64 m v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 m v) 2) -1) m) (+.f64 (/.f64 m v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 (pow.f64 (/.f64 m v) 3) -1)) (+.f64 (pow.f64 (/.f64 m v) 2) (+.f64 (/.f64 m v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 (pow.f64 (/.f64 m v) 2) -1)) (+.f64 (/.f64 m v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (+.f64 (/.f64 m v) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (+.f64 (/.f64 m v) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (+.f64 (/.f64 m v) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (+.f64 (/.f64 m v) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (+.f64 (/.f64 m v) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (+.f64 (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (+.f64 (/.f64 m v) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 m 3) (pow.f64 (+.f64 (/.f64 m v) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 m v) -1) 3) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (+.f64 (/.f64 m v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (+.f64 (/.f64 m v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (+.f64 (/.f64 m v) -1)))))))) |
| 1× | egg-herbie |
| 622× | associate-/r/_binary64 |
| 478× | associate-/r*_binary64 |
| 435× | fma-def_binary64 |
| 434× | unswap-sqr_binary64 |
| 427× | associate-/l/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 228 |
| 1 | 18 | 210 |
| 2 | 30 | 210 |
| 3 | 61 | 210 |
| 4 | 144 | 210 |
| 5 | 467 | 210 |
| 6 | 2152 | 210 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(/.f64 (pow.f64 m 2) v) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(/.f64 (pow.f64 m 2) v) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(/.f64 (pow.f64 m 2) v) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
| Outputs |
|---|
(*.f64 -1 m) |
(neg.f64 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(*.f64 -1 m) |
(neg.f64 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(*.f64 -1 m) |
(neg.f64 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 m (/.f64 m v)) | |
| ✓ | 0.2b | (*.f64 m (/.f64 m v)) |
Compiled 12 to 4 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | m | @ | 0 | (*.f64 m (/.f64 m v)) |
| 0.0ms | m | @ | inf | (*.f64 m (/.f64 m v)) |
| 0.0ms | m | @ | -inf | (*.f64 m (/.f64 m v)) |
| 0.0ms | v | @ | 0 | (*.f64 m (/.f64 m v)) |
| 0.0ms | v | @ | -inf | (*.f64 m (/.f64 m v)) |
| 1× | batch-egg-rewrite |
| 568× | pow1_binary64 |
| 525× | add-log-exp_binary64 |
| 525× | log1p-expm1-u_binary64 |
| 525× | expm1-log1p-u_binary64 |
| 513× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 105 | 7 |
| 2 | 1410 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 m (/.f64 m v)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 m (/.f64 m v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 v (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 m m)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 m) m) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (neg.f64 m)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m m) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m m) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m m) (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (/.f64 m v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (sqrt.f64 v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (/.f64 m v)))))))) |
| 1× | egg-herbie |
| 784× | sqr-pow_binary64 |
| 434× | unswap-sqr_binary64 |
| 423× | associate-*r/_binary64 |
| 410× | *-commutative_binary64 |
| 395× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 168 |
| 1 | 11 | 168 |
| 2 | 20 | 168 |
| 3 | 37 | 168 |
| 4 | 83 | 168 |
| 5 | 256 | 168 |
| 6 | 1053 | 168 |
| 7 | 3447 | 168 |
| 8 | 4249 | 168 |
| 9 | 4434 | 168 |
| 10 | 4650 | 168 |
| 11 | 4981 | 168 |
| 12 | 5411 | 168 |
| 13 | 5891 | 168 |
| 14 | 6535 | 168 |
| 15 | 7220 | 168 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
| Outputs |
|---|
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 15.3b | (/.f64 (*.f64 m m) v) | |
| 0.0b | (-.f64 (/.f64 (*.f64 m m) v) m) | |
| ✓ | 0.0b | (-.f64 (/.f64 (*.f64 m m) v) m) |
| ✓ | 15.3b | (/.f64 (*.f64 m m) v) |
Compiled 19 to 5 computations (73.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | m | @ | 0 | (/.f64 (*.f64 m m) v) |
| 0.0ms | m | @ | 0 | (-.f64 (/.f64 (*.f64 m m) v) m) |
| 0.0ms | v | @ | -inf | (-.f64 (/.f64 (*.f64 m m) v) m) |
| 0.0ms | m | @ | inf | (/.f64 (*.f64 m m) v) |
| 0.0ms | v | @ | 0 | (-.f64 (/.f64 (*.f64 m m) v) m) |
| 1× | batch-egg-rewrite |
| 828× | pow1_binary64 |
| 774× | add-log-exp_binary64 |
| 774× | log1p-expm1-u_binary64 |
| 774× | expm1-log1p-u_binary64 |
| 755× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 1 | 138 | 17 |
| 2 | 2108 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 m m) v) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 m m) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (/.f64 1 (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (*.f64 m (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m m) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 m m) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 m m) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 m 4)) (*.f64 (pow.f64 (cbrt.f64 m) 2) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 m m) v)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 m m) v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 m m) v)) 2) (cbrt.f64 (/.f64 (*.f64 m m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (neg.f64 m)) (/.f64 1 (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m 1) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m v) m)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) 1) (/.f64 (pow.f64 (cbrt.f64 m) 2) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (pow.f64 (cbrt.f64 v) 2)) (/.f64 m (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 v) 2)) (/.f64 (*.f64 m m) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 (/.f64 (*.f64 m m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 v)) (/.f64 (*.f64 m m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) (sqrt.f64 v)) (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 m m) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 m m) v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (sqrt.f64 v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 m m) v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (*.f64 m m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 m m) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 m 4) (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 m m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 m m) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 m m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 m m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 m m) v))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 m m) v) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 m m) v) (*.f64 (neg.f64 m) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (fma.f64 (neg.f64 m) 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (fma.f64 (neg.f64 (cbrt.f64 m)) (pow.f64 (cbrt.f64 m) 2) m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (fma.f64 (neg.f64 (sqrt.f64 m)) (sqrt.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 m) (/.f64 (*.f64 m m) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 (*.f64 m m) v) m) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 (*.f64 m m) v) m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 (*.f64 m m) v) m)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 (*.f64 m m) v) m)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (*.f64 m m) v) m)) 2) (cbrt.f64 (-.f64 (/.f64 (*.f64 m m) v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 m m) v) m)) (sqrt.f64 (-.f64 (/.f64 (*.f64 m m) v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 (*.f64 m m) v) 3) (pow.f64 m 3)) (/.f64 1 (+.f64 (/.f64 (pow.f64 m 4) (*.f64 v v)) (fma.f64 m m (/.f64 (pow.f64 m 3) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 (pow.f64 m 4) (*.f64 v v)) (*.f64 m m)) (/.f64 1 (+.f64 m (/.f64 (*.f64 m m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 m (sqrt.f64 v)) (sqrt.f64 m)) (-.f64 (/.f64 m (sqrt.f64 v)) (sqrt.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 (pow.f64 m 4) (*.f64 v v)) (fma.f64 m m (/.f64 (pow.f64 m 3) v))) (-.f64 (pow.f64 (/.f64 (*.f64 m m) v) 3) (pow.f64 m 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 m (/.f64 (*.f64 m m) v)) (-.f64 (/.f64 (pow.f64 m 4) (*.f64 v v)) (*.f64 m m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (*.f64 m m) v) 3) (pow.f64 m 3)) (+.f64 (/.f64 (pow.f64 m 4) (*.f64 v v)) (fma.f64 m m (/.f64 (pow.f64 m 3) v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (pow.f64 m 4) (*.f64 v v)) (*.f64 m m)) (+.f64 m (/.f64 (*.f64 m m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 m m) v) 3) (pow.f64 m 3))) (neg.f64 (+.f64 (/.f64 (pow.f64 m 4) (*.f64 v v)) (fma.f64 m m (/.f64 (pow.f64 m 3) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 m 4) (*.f64 v v)) (*.f64 m m))) (neg.f64 (+.f64 m (/.f64 (*.f64 m m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (*.f64 m m) v) 3) (pow.f64 (neg.f64 m) 3)) (+.f64 (/.f64 (pow.f64 m 4) (*.f64 v v)) (-.f64 (*.f64 (neg.f64 m) (neg.f64 m)) (*.f64 (/.f64 (*.f64 m m) v) (neg.f64 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (pow.f64 m 4) (*.f64 v v)) (*.f64 (neg.f64 m) (neg.f64 m))) (-.f64 (/.f64 (*.f64 m m) v) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 (*.f64 m m) v) m) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 (*.f64 m m) v) m) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 (*.f64 m m) v) m)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 m m) v) m)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 (*.f64 m m) v) m) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (/.f64 (*.f64 m m) v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 (*.f64 m m) v) m) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 (*.f64 m m) v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 (*.f64 m m) v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m m) (/.f64 1 v) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (*.f64 m m) v) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 m m) v)) 2) (cbrt.f64 (/.f64 (*.f64 m m) v)) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 (*.f64 m m) v) m))))))) |
| 1× | egg-herbie |
| 613× | associate-/r/_binary64 |
| 478× | associate-/r*_binary64 |
| 435× | fma-def_binary64 |
| 434× | unswap-sqr_binary64 |
| 426× | associate-/l/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 396 |
| 1 | 18 | 378 |
| 2 | 30 | 378 |
| 3 | 61 | 378 |
| 4 | 143 | 378 |
| 5 | 472 | 378 |
| 6 | 2196 | 378 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(*.f64 -1 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(/.f64 (pow.f64 m 2) v) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(/.f64 (pow.f64 m 2) v) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(/.f64 (pow.f64 m 2) v) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
| Outputs |
|---|
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(*.f64 -1 m) |
(neg.f64 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(*.f64 m (+.f64 -1 (/.f64 m v))) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(*.f64 m (+.f64 -1 (/.f64 m v))) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(*.f64 m (+.f64 -1 (/.f64 m v))) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(*.f64 m (+.f64 -1 (/.f64 m v))) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(*.f64 m (+.f64 -1 (/.f64 m v))) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(*.f64 m (+.f64 -1 (/.f64 m v))) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(*.f64 m (+.f64 -1 (/.f64 m v))) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(*.f64 m (+.f64 -1 (/.f64 m v))) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(*.f64 m (+.f64 -1 (/.f64 m v))) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(*.f64 m (+.f64 -1 (/.f64 m v))) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(*.f64 m (+.f64 -1 (/.f64 m v))) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(*.f64 m (+.f64 -1 (/.f64 m v))) |
(*.f64 -1 m) |
(neg.f64 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(*.f64 m (+.f64 -1 (/.f64 m v))) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(*.f64 m (+.f64 -1 (/.f64 m v))) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(*.f64 m (+.f64 -1 (/.f64 m v))) |
(*.f64 -1 m) |
(neg.f64 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(*.f64 m (+.f64 -1 (/.f64 m v))) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(*.f64 m (+.f64 -1 (/.f64 m v))) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(*.f64 m (+.f64 -1 (/.f64 m v))) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (/.f64 m (/.f64 v (*.f64 m (-.f64 1 m)))) | |
| 0.0b | (/.f64 v (*.f64 m (-.f64 1 m))) | |
| 0.0b | (*.f64 m (-.f64 1 m)) | |
| 0.0b | (*.f64 m (-.f64 1 m)) | |
| ✓ | 0.0b | (/.f64 v (*.f64 m (-.f64 1 m))) |
| ✓ | 0.2b | (/.f64 m (/.f64 v (*.f64 m (-.f64 1 m)))) |
Compiled 29 to 17 computations (41.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | m | @ | 0 | (/.f64 v (*.f64 m (-.f64 1 m))) |
| 1.0ms | v | @ | 0 | (/.f64 v (*.f64 m (-.f64 1 m))) |
| 1.0ms | v | @ | -inf | (/.f64 v (*.f64 m (-.f64 1 m))) |
| 0.0ms | v | @ | inf | (/.f64 v (*.f64 m (-.f64 1 m))) |
| 0.0ms | m | @ | inf | (/.f64 v (*.f64 m (-.f64 1 m))) |
| 1× | batch-egg-rewrite |
| 523× | log-prod_binary64 |
| 404× | exp-prod_binary64 |
| 293× | pow-prod-down_binary64 |
| 239× | pow2_binary64 |
| 191× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 23 |
| 1 | 177 | 23 |
| 2 | 2634 | 23 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 m (/.f64 v (*.f64 m (-.f64 1 m)))) |
(/.f64 v (*.f64 m (-.f64 1 m))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (*.f64 (/.f64 m v) (-.f64 1 m)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (*.f64 (/.f64 m v) (-.f64 1 m))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (*.f64 (/.f64 m v) (-.f64 1 m))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (*.f64 (/.f64 m v) (-.f64 1 m))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (-.f64 1 m)) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))) (pow.f64 (cbrt.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))) 2) (cbrt.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 m) 2) (*.f64 (cbrt.f64 m) (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))) (sqrt.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 m) (*.f64 (sqrt.f64 m) (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 m) (/.f64 1 (/.f64 (neg.f64 (/.f64 v m)) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) m)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m v) (*.f64 m (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m 1) (*.f64 (/.f64 m v) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) (/.f64 m (/.f64 1 (*.f64 m (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) v) (/.f64 (cbrt.f64 m) (/.f64 1 (*.f64 m (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 m) v) (/.f64 (sqrt.f64 m) (/.f64 1 (*.f64 m (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) 1) (/.f64 (cbrt.f64 m) (/.f64 (/.f64 v m) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 m) 1) (/.f64 (sqrt.f64 m) (/.f64 (/.f64 v m) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 v m) (-.f64 1 m))) -2) (/.f64 m (cbrt.f64 (/.f64 (/.f64 v m) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (pow.f64 (cbrt.f64 (/.f64 (/.f64 v m) 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egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (/.f64 v m) (-.f64 1 m)) m)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 m) 1) (log.f64 (/.f64 (/.f64 v m) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 m) (*.f64 (log.f64 (/.f64 (/.f64 v m) (-.f64 1 m))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 m) 1) (*.f64 (log.f64 (/.f64 (/.f64 v m) (-.f64 1 m))) 1))))))) |
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exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 v m) (-.f64 1 m)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 v m) (-.f64 1 m)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 v m) (-.f64 1 m))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 v) 1) (log.f64 (*.f64 m (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 v) (*.f64 (log.f64 (*.f64 m (-.f64 1 m))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 v) 1) (*.f64 (log.f64 (*.f64 m (-.f64 1 m))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 v m)) (*.f64 (log1p.f64 (neg.f64 m)) 1))))))) |
| 1× | egg-herbie |
| 474× | associate-/r/_binary64 |
| 463× | associate-*r/_binary64 |
| 402× | sub-neg_binary64 |
| 396× | fma-def_binary64 |
| 278× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 617 |
| 1 | 120 | 578 |
| 2 | 333 | 566 |
| 3 | 1035 | 503 |
| 4 | 4238 | 503 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 m 2) v) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(/.f64 v m) |
(+.f64 v (/.f64 v m)) |
(+.f64 v (+.f64 (/.f64 v m) (*.f64 v m))) |
(+.f64 v (+.f64 (/.f64 v m) (+.f64 (*.f64 v (pow.f64 m 2)) (*.f64 v m)))) |
(*.f64 -1 (/.f64 v (pow.f64 m 2))) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (*.f64 -1 (/.f64 v (pow.f64 m 2)))) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 4))) (*.f64 -1 (/.f64 v (pow.f64 m 2))))) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 5))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 4))) (*.f64 -1 (/.f64 v (pow.f64 m 2)))))) |
(*.f64 -1 (/.f64 v (pow.f64 m 2))) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (*.f64 -1 (/.f64 v (pow.f64 m 2)))) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 4))) (*.f64 -1 (/.f64 v (pow.f64 m 2))))) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 5))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 4))) (*.f64 -1 (/.f64 v (pow.f64 m 2)))))) |
| Outputs |
|---|
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v)) |
(/.f64 (*.f64 m (fma.f64 m (neg.f64 m) m)) v) |
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v)) |
(/.f64 (*.f64 m (fma.f64 m (neg.f64 m) m)) v) |
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v)) |
(/.f64 (*.f64 m (fma.f64 m (neg.f64 m) m)) v) |
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v)) |
(/.f64 (*.f64 m (fma.f64 m (neg.f64 m) m)) v) |
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v)) |
(/.f64 (*.f64 m (fma.f64 m (neg.f64 m) m)) v) |
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v)) |
(/.f64 (*.f64 m (fma.f64 m (neg.f64 m) m)) v) |
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v)) |
(/.f64 (*.f64 m (fma.f64 m (neg.f64 m) m)) v) |
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v)) |
(/.f64 (*.f64 m (fma.f64 m (neg.f64 m) m)) v) |
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v)) |
(/.f64 (*.f64 m (fma.f64 m (neg.f64 m) m)) v) |
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v)) |
(/.f64 (*.f64 m (fma.f64 m (neg.f64 m) m)) v) |
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v)) |
(/.f64 (*.f64 m (fma.f64 m (neg.f64 m) m)) v) |
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v)) |
(/.f64 (*.f64 m (fma.f64 m (neg.f64 m) m)) v) |
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v)) |
(/.f64 (*.f64 m (fma.f64 m (neg.f64 m) m)) v) |
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v)) |
(/.f64 (*.f64 m (fma.f64 m (neg.f64 m) m)) v) |
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v)) |
(/.f64 (*.f64 m (fma.f64 m (neg.f64 m) m)) v) |
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v)) |
(/.f64 (*.f64 m (fma.f64 m (neg.f64 m) m)) v) |
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v)) |
(/.f64 (*.f64 m (fma.f64 m (neg.f64 m) m)) v) |
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v)) |
(/.f64 (*.f64 m (fma.f64 m (neg.f64 m) m)) v) |
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v)) |
(/.f64 (*.f64 m (fma.f64 m (neg.f64 m) m)) v) |
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v)) |
(/.f64 (*.f64 m (fma.f64 m (neg.f64 m) m)) v) |
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) |
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v) |
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) |
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v)) |
(/.f64 (*.f64 m (fma.f64 m (neg.f64 m) m)) v) |
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) |
(/.f64 v m) |
(+.f64 v (/.f64 v m)) |
(+.f64 v (+.f64 (/.f64 v m) (*.f64 v m))) |
(+.f64 (+.f64 v (/.f64 v m)) (*.f64 m v)) |
(+.f64 v (fma.f64 m v (/.f64 v m))) |
(+.f64 (/.f64 v m) (fma.f64 m v v)) |
(+.f64 v (+.f64 (/.f64 v m) (+.f64 (*.f64 v (pow.f64 m 2)) (*.f64 v m)))) |
(+.f64 v (+.f64 (/.f64 v m) (*.f64 v (+.f64 (*.f64 m m) m)))) |
(+.f64 v (fma.f64 v (fma.f64 m m m) (/.f64 v m))) |
(fma.f64 (fma.f64 m (+.f64 m 1) 1) v (/.f64 v m)) |
(*.f64 -1 (/.f64 v (pow.f64 m 2))) |
(neg.f64 (/.f64 v (*.f64 m m))) |
(/.f64 (neg.f64 v) (*.f64 m m)) |
(/.f64 v (*.f64 m (neg.f64 m))) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (*.f64 -1 (/.f64 v (pow.f64 m 2)))) |
(fma.f64 -1 (/.f64 v (pow.f64 m 3)) (neg.f64 (/.f64 v (*.f64 m m)))) |
(-.f64 (/.f64 (neg.f64 v) (*.f64 m m)) (/.f64 v (pow.f64 m 3))) |
(*.f64 (/.f64 v (*.f64 m m)) (+.f64 -1 (/.f64 -1 m))) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 4))) (*.f64 -1 (/.f64 v (pow.f64 m 2))))) |
(fma.f64 -1 (/.f64 v (pow.f64 m 3)) (*.f64 -1 (+.f64 (/.f64 v (pow.f64 m 4)) (/.f64 v (*.f64 m m))))) |
(-.f64 (-.f64 (/.f64 (neg.f64 v) (*.f64 m m)) (/.f64 v (pow.f64 m 4))) (/.f64 v (pow.f64 m 3))) |
(-.f64 (*.f64 (/.f64 v (*.f64 m m)) (+.f64 -1 (/.f64 -1 m))) (/.f64 v (pow.f64 m 4))) |
(*.f64 (/.f64 v (*.f64 m m)) (+.f64 (/.f64 -1 (*.f64 m m)) (+.f64 -1 (/.f64 -1 m)))) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 5))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 4))) (*.f64 -1 (/.f64 v (pow.f64 m 2)))))) |
(fma.f64 -1 (/.f64 v (pow.f64 m 3)) (fma.f64 -1 (/.f64 v (pow.f64 m 5)) (*.f64 -1 (+.f64 (/.f64 v (pow.f64 m 4)) (/.f64 v (*.f64 m m)))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 v) (*.f64 m m)) (/.f64 v (pow.f64 m 4))) (/.f64 v (pow.f64 m 5))) (/.f64 v (pow.f64 m 3))) |
(-.f64 (-.f64 (*.f64 (/.f64 v (*.f64 m m)) (+.f64 -1 (/.f64 -1 m))) (/.f64 v (pow.f64 m 4))) (/.f64 v (pow.f64 m 5))) |
(fma.f64 (/.f64 v (*.f64 m m)) (+.f64 -1 (/.f64 -1 m)) (-.f64 (/.f64 (neg.f64 v) (pow.f64 m 4)) (/.f64 v (pow.f64 m 5)))) |
(-.f64 (*.f64 (/.f64 v (pow.f64 m 3)) (+.f64 -1 (/.f64 -1 m))) (+.f64 (/.f64 v (*.f64 m m)) (/.f64 v (pow.f64 m 5)))) |
(*.f64 -1 (/.f64 v (pow.f64 m 2))) |
(neg.f64 (/.f64 v (*.f64 m m))) |
(/.f64 (neg.f64 v) (*.f64 m m)) |
(/.f64 v (*.f64 m (neg.f64 m))) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (*.f64 -1 (/.f64 v (pow.f64 m 2)))) |
(fma.f64 -1 (/.f64 v (pow.f64 m 3)) (neg.f64 (/.f64 v (*.f64 m m)))) |
(-.f64 (/.f64 (neg.f64 v) (*.f64 m m)) (/.f64 v (pow.f64 m 3))) |
(*.f64 (/.f64 v (*.f64 m m)) (+.f64 -1 (/.f64 -1 m))) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 4))) (*.f64 -1 (/.f64 v (pow.f64 m 2))))) |
(fma.f64 -1 (/.f64 v (pow.f64 m 3)) (*.f64 -1 (+.f64 (/.f64 v (pow.f64 m 4)) (/.f64 v (*.f64 m m))))) |
(-.f64 (-.f64 (/.f64 (neg.f64 v) (*.f64 m m)) (/.f64 v (pow.f64 m 4))) (/.f64 v (pow.f64 m 3))) |
(-.f64 (*.f64 (/.f64 v (*.f64 m m)) (+.f64 -1 (/.f64 -1 m))) (/.f64 v (pow.f64 m 4))) |
(*.f64 (/.f64 v (*.f64 m m)) (+.f64 (/.f64 -1 (*.f64 m m)) (+.f64 -1 (/.f64 -1 m)))) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 5))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 4))) (*.f64 -1 (/.f64 v (pow.f64 m 2)))))) |
(fma.f64 -1 (/.f64 v (pow.f64 m 3)) (fma.f64 -1 (/.f64 v (pow.f64 m 5)) (*.f64 -1 (+.f64 (/.f64 v (pow.f64 m 4)) (/.f64 v (*.f64 m m)))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 v) (*.f64 m m)) (/.f64 v (pow.f64 m 4))) (/.f64 v (pow.f64 m 5))) (/.f64 v (pow.f64 m 3))) |
(-.f64 (-.f64 (*.f64 (/.f64 v (*.f64 m m)) (+.f64 -1 (/.f64 -1 m))) (/.f64 v (pow.f64 m 4))) (/.f64 v (pow.f64 m 5))) |
(fma.f64 (/.f64 v (*.f64 m m)) (+.f64 -1 (/.f64 -1 m)) (-.f64 (/.f64 (neg.f64 v) (pow.f64 m 4)) (/.f64 v (pow.f64 m 5)))) |
(-.f64 (*.f64 (/.f64 v (pow.f64 m 3)) (+.f64 -1 (/.f64 -1 m))) (+.f64 (/.f64 v (*.f64 m m)) (/.f64 v (pow.f64 m 5)))) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 m (/.f64 1 v)) | |
| 0.2b | (*.f64 m (*.f64 m (/.f64 1 v))) | |
| 0.0b | (+.f64 (*.f64 -1 m) (*.f64 m (*.f64 m (/.f64 1 v)))) | |
| ✓ | 0.0b | (+.f64 (*.f64 -1 m) (*.f64 m (*.f64 m (/.f64 1 v)))) |
| ✓ | 0.2b | (*.f64 m (*.f64 m (/.f64 1 v))) |
| ✓ | 0.3b | (*.f64 m (/.f64 1 v)) |
Compiled 35 to 22 computations (37.1% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | v | @ | 0 | (*.f64 m (/.f64 1 v)) |
| 1.0ms | m | @ | -inf | (*.f64 m (/.f64 1 v)) |
| 0.0ms | m | @ | inf | (*.f64 m (/.f64 1 v)) |
| 0.0ms | m | @ | 0 | (*.f64 m (/.f64 1 v)) |
| 0.0ms | v | @ | inf | (*.f64 m (/.f64 1 v)) |
| 1× | batch-egg-rewrite |
| 919× | pow1_binary64 |
| 853× | add-log-exp_binary64 |
| 852× | log1p-expm1-u_binary64 |
| 852× | expm1-log1p-u_binary64 |
| 102× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 22 |
| 1 | 208 | 19 |
| 2 | 2864 | 19 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 m (/.f64 1 v)) |
(*.f64 m (*.f64 m (/.f64 1 v))) |
(+.f64 (*.f64 -1 m) (*.f64 m (*.f64 m (/.f64 1 v)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 m v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 m) 2) (/.f64 v (cbrt.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 m) (/.f64 v (sqrt.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 m (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 m 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 m (cbrt.f64 (*.f64 v v))) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 m v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 m v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 m v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 m v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 m v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 m 3) (pow.f64 v 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 m 3) (/.f64 (pow.f64 v -2) v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 v -2) v) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 m v))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (/.f64 m v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (/.f64 m v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (pow.f64 v -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (/.f64 m v)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 m (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 m (/.f64 m v)) m)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 m (/.f64 m v) m))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 m m) (fma.f64 m (/.f64 m v) m)) (/.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (fma.f64 m (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (-.f64 -1 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (+.f64 (/.f64 m v) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (+.f64 -1 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 m (/.f64 m v) m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 m (/.f64 m v) m) 2) (/.f64 1 (fma.f64 m (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 m (/.f64 m v) m)) (pow.f64 (cbrt.f64 (fma.f64 m (/.f64 m v) m)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 m (/.f64 m v) m)) 2) (cbrt.f64 (fma.f64 m (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 m (/.f64 m v) m)) (sqrt.f64 (fma.f64 m (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 m 3) (pow.f64 (*.f64 m (/.f64 m v)) 3)) (/.f64 1 (fma.f64 m m (*.f64 (*.f64 m (/.f64 m v)) (fma.f64 m (/.f64 m v) m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 m (/.f64 m v) m) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 m) (*.f64 m (pow.f64 v -1/2))) (-.f64 (sqrt.f64 m) (*.f64 m (pow.f64 v -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 m m (*.f64 (*.f64 m (/.f64 m v)) (fma.f64 m (/.f64 m v) m))) (+.f64 (pow.f64 m 3) (pow.f64 (*.f64 m (/.f64 m v)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 m (/.f64 m v) m) (pow.f64 (fma.f64 m (/.f64 m v) m) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 m (/.f64 m v) m) 2) (fma.f64 m (/.f64 m v) m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 m 3) (pow.f64 (*.f64 m (/.f64 m v)) 3)) (fma.f64 m m (*.f64 (*.f64 m (/.f64 m v)) (fma.f64 m (/.f64 m v) m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 m 3) (pow.f64 (*.f64 m (/.f64 m v)) 3)) (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (-.f64 (*.f64 m m) (*.f64 (*.f64 m m) (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 m 3) (pow.f64 (*.f64 m (/.f64 m v)) 3))) (neg.f64 (fma.f64 m m (*.f64 (*.f64 m (/.f64 m v)) (fma.f64 m (/.f64 m v) m)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (fma.f64 m (/.f64 m v) m) 2)) (neg.f64 (fma.f64 m (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 m 3) (pow.f64 (*.f64 m (/.f64 m v)) 3)) (fma.f64 m m (*.f64 (*.f64 m (/.f64 m v)) (fma.f64 m (/.f64 m v) m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m m)) (fma.f64 m (/.f64 m v) m))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 m (/.f64 m v) m) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 m (/.f64 m v) m)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 m (/.f64 m v) m)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 m (/.f64 m v) m) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 m (/.f64 m v) m) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 m (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 m (/.f64 m v) m))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 m) (pow.f64 (exp.f64 m) (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 m (/.f64 m v) m) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 m (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 m (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (/.f64 m v) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m -1 (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m -1 (neg.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 m (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 m (neg.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 m (/.f64 m v)) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m v) m m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 m (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 m (neg.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m m) (/.f64 1 v) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (cbrt.f64 m) (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (cbrt.f64 m) (neg.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2)) (cbrt.f64 (*.f64 m (/.f64 m v))) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (sqrt.f64 m) (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (sqrt.f64 m) (neg.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (pow.f64 v -1/2)) (*.f64 m (pow.f64 v -1/2)) m)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 m (/.f64 m v) m))))))) |
| 1× | egg-herbie |
| 635× | associate-/r/_binary64 |
| 477× | associate-/r*_binary64 |
| 449× | fma-def_binary64 |
| 436× | associate-/l/_binary64 |
| 434× | unswap-sqr_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 492 |
| 1 | 19 | 474 |
| 2 | 31 | 474 |
| 3 | 62 | 474 |
| 4 | 147 | 474 |
| 5 | 500 | 474 |
| 6 | 2249 | 474 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(*.f64 -1 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(/.f64 (pow.f64 m 2) v) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(/.f64 (pow.f64 m 2) v) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(/.f64 (pow.f64 m 2) v) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
| Outputs |
|---|
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 m v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(*.f64 -1 m) |
(neg.f64 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(fma.f64 m (/.f64 m v) (neg.f64 m)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(fma.f64 m (/.f64 m v) (neg.f64 m)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(fma.f64 m (/.f64 m v) (neg.f64 m)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(fma.f64 m (/.f64 m v) (neg.f64 m)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(fma.f64 m (/.f64 m v) (neg.f64 m)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(fma.f64 m (/.f64 m v) (neg.f64 m)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(fma.f64 m (/.f64 m v) (neg.f64 m)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(fma.f64 m (/.f64 m v) (neg.f64 m)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(fma.f64 m (/.f64 m v) (neg.f64 m)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(fma.f64 m (/.f64 m v) (neg.f64 m)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(fma.f64 m (/.f64 m v) (neg.f64 m)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(fma.f64 m (/.f64 m v) (neg.f64 m)) |
(*.f64 -1 m) |
(neg.f64 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(fma.f64 m (/.f64 m v) (neg.f64 m)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(fma.f64 m (/.f64 m v) (neg.f64 m)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(fma.f64 m (/.f64 m v) (neg.f64 m)) |
(*.f64 -1 m) |
(neg.f64 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(fma.f64 m (/.f64 m v) (neg.f64 m)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(fma.f64 m (/.f64 m v) (neg.f64 m)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(fma.f64 m (/.f64 m v) (neg.f64 m)) |
Compiled 5064 to 2389 computations (52.8% saved)
19 alts after pruning (15 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 386 | 11 | 397 |
| Fresh | 6 | 4 | 10 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 4 | 6 |
| Total | 395 | 19 | 414 |
| Status | Error | Program |
|---|---|---|
| 44.0b | (/.f64 (*.f64 m m) v) | |
| 28.9b | (/.f64 m (*.f64 (/.f64 1 m) (/.f64 v (-.f64 1 m)))) | |
| 61.3b | (-.f64 m (*.f64 m (/.f64 m v))) | |
| 52.8b | (/.f64 m (/.f64 v (*.f64 m (neg.f64 m)))) | |
| ▶ | 52.8b | (*.f64 m (*.f64 m (/.f64 (neg.f64 m) v))) |
| 38.9b | (pow.f64 (/.f64 m (sqrt.f64 v)) 2) | |
| ✓ | 38.7b | (*.f64 m (/.f64 m v)) |
| ▶ | 10.2b | (-.f64 (*.f64 m (*.f64 m (/.f64 1 v))) m) |
| ▶ | 61.3b | (-.f64 m (/.f64 m (/.f64 v m))) |
| 38.3b | (/.f64 m (+.f64 v (/.f64 v m))) | |
| ✓ | 10.1b | (*.f64 (-.f64 (/.f64 m v) 1) m) |
| ▶ | 10.1b | (-.f64 (*.f64 m (/.f64 m v)) m) |
| 52.8b | (*.f64 m (/.f64 (*.f64 m (neg.f64 m)) v)) | |
| 34.1b | (*.f64 (/.f64 1 v) (/.f64 m (/.f64 1 (*.f64 m (-.f64 1 m))))) | |
| 10.2b | (+.f64 (*.f64 -1 m) (pow.f64 (/.f64 (/.f64 v m) m) -1)) | |
| ▶ | 38.8b | (/.f64 m (/.f64 v m)) |
| ✓ | 34.7b | (neg.f64 m) |
| 28.8b | (*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m)) | |
| ✓ | 28.8b | (*.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v)) |
Compiled 333 to 210 computations (36.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 m (/.f64 m v)) | |
| 0.0b | (-.f64 (*.f64 m (/.f64 m v)) m) | |
| ✓ | 0.0b | (-.f64 (*.f64 m (/.f64 m v)) m) |
| 0.2b | (*.f64 m (/.f64 m v)) |
Compiled 19 to 5 computations (73.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | m | @ | 0 | (-.f64 (*.f64 m (/.f64 m v)) m) |
| 0.0ms | v | @ | 0 | (-.f64 (*.f64 m (/.f64 m v)) m) |
| 0.0ms | m | @ | inf | (-.f64 (*.f64 m (/.f64 m v)) m) |
| 0.0ms | v | @ | -inf | (-.f64 (*.f64 m (/.f64 m v)) m) |
| 0.0ms | m | @ | -inf | (-.f64 (*.f64 m (/.f64 m v)) m) |
| 1× | batch-egg-rewrite |
| 811× | pow1_binary64 |
| 755× | add-log-exp_binary64 |
| 755× | log1p-expm1-u_binary64 |
| 755× | expm1-log1p-u_binary64 |
| 738× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 137 | 10 |
| 2 | 2021 | 10 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 m (/.f64 m v)) m) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (/.f64 m v)) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (/.f64 m v)) (*.f64 (neg.f64 m) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (-.f64 (/.f64 m v) 1)) (fma.f64 (neg.f64 m) 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (-.f64 (/.f64 m v) 1)) (fma.f64 (neg.f64 (cbrt.f64 m)) (pow.f64 (cbrt.f64 m) 2) m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (-.f64 (/.f64 m v) 1)) (fma.f64 (neg.f64 (sqrt.f64 m)) (sqrt.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 m) (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (-.f64 (/.f64 m v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (-.f64 (/.f64 m v) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 m (-.f64 (/.f64 m v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 m (-.f64 (/.f64 m v) 1))) (cbrt.f64 (pow.f64 (*.f64 m (-.f64 (/.f64 m v) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 m (-.f64 (/.f64 m v) 1)) 2)) (cbrt.f64 (*.f64 m (-.f64 (/.f64 m v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 m (-.f64 (/.f64 m v) 1))) (sqrt.f64 (*.f64 m (-.f64 (/.f64 m v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) (pow.f64 m 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m (fma.f64 m (/.f64 m v) m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m m)) (/.f64 1 (fma.f64 m (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 m (sqrt.f64 v)) (sqrt.f64 m)) (-.f64 (/.f64 m (sqrt.f64 v)) (sqrt.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m (fma.f64 m (/.f64 m v) m))) (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) (pow.f64 m 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 m (/.f64 m v) m) (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) (pow.f64 m 3)) (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m (fma.f64 m (/.f64 m v) m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m m)) (fma.f64 m (/.f64 m v) m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) (pow.f64 m 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m (fma.f64 m (/.f64 m v) m)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m m))) (neg.f64 (fma.f64 m (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) (pow.f64 (neg.f64 m) 3)) (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (-.f64 (*.f64 (neg.f64 m) (neg.f64 m)) (*.f64 (*.f64 m (/.f64 m v)) (neg.f64 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 (neg.f64 m) (neg.f64 m))) (-.f64 (*.f64 m (/.f64 m v)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (-.f64 (/.f64 m v) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (-.f64 (/.f64 m v) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (-.f64 (/.f64 m v) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (-.f64 (/.f64 m v) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (-.f64 (/.f64 m v) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 m (-.f64 (/.f64 m v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (-.f64 (/.f64 m v) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (-.f64 (/.f64 m v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (-.f64 (/.f64 m v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (/.f64 m v) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m v) m (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 m (/.f64 m v)) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) 2) (cbrt.f64 (*.f64 m (/.f64 m v))) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (-.f64 (/.f64 m v) 1)))))))) |
| 1× | egg-herbie |
| 622× | associate-/r/_binary64 |
| 478× | associate-/r*_binary64 |
| 435× | fma-def_binary64 |
| 434× | unswap-sqr_binary64 |
| 427× | associate-/l/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 228 |
| 1 | 18 | 210 |
| 2 | 30 | 210 |
| 3 | 61 | 210 |
| 4 | 144 | 210 |
| 5 | 467 | 210 |
| 6 | 2152 | 210 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(/.f64 (pow.f64 m 2) v) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(/.f64 (pow.f64 m 2) v) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(/.f64 (pow.f64 m 2) v) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
| Outputs |
|---|
(*.f64 -1 m) |
(neg.f64 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(*.f64 -1 m) |
(neg.f64 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(*.f64 -1 m) |
(neg.f64 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (/.f64 m (/.f64 v m)) | |
| ✓ | 0.2b | (/.f64 m (/.f64 v m)) |
Compiled 12 to 4 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | m | @ | 0 | (/.f64 m (/.f64 v m)) |
| 0.0ms | v | @ | -inf | (/.f64 m (/.f64 v m)) |
| 0.0ms | m | @ | -inf | (/.f64 m (/.f64 v m)) |
| 0.0ms | m | @ | inf | (/.f64 m (/.f64 v m)) |
| 0.0ms | v | @ | inf | (/.f64 m (/.f64 v m)) |
| 1× | batch-egg-rewrite |
| 637× | pow1_binary64 |
| 592× | add-log-exp_binary64 |
| 592× | log1p-expm1-u_binary64 |
| 592× | expm1-log1p-u_binary64 |
| 578× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 110 | 7 |
| 2 | 1599 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 m (/.f64 v m)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 m (/.f64 m v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (/.f64 m v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) (pow.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) 2) (cbrt.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 m) 2) (*.f64 (cbrt.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 m (/.f64 m v))) (sqrt.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 m) (*.f64 (sqrt.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 m) (/.f64 1 (/.f64 (neg.f64 v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m v) m)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) 1) (/.f64 (cbrt.f64 m) (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 m) 1) (/.f64 (sqrt.f64 m) (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 m) v) (/.f64 (sqrt.f64 m) (/.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) (/.f64 m (/.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) v) (/.f64 (cbrt.f64 m) (/.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 v m)) 2)) (/.f64 m (cbrt.f64 (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (pow.f64 (cbrt.f64 (/.f64 v m)) 2)) (cbrt.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 m) (pow.f64 (cbrt.f64 (/.f64 v m)) 2)) (/.f64 (sqrt.f64 m) (cbrt.f64 (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 v m))) (/.f64 m (sqrt.f64 (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 (/.f64 v m))) (/.f64 (cbrt.f64 m) (sqrt.f64 (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m 1) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (neg.f64 v)) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 m v) 1) m)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 m v) (pow.f64 (cbrt.f64 m) 2)) (cbrt.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 m v) (sqrt.f64 m)) (sqrt.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (/.f64 m v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (/.f64 m v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (*.f64 m m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 m (/.f64 (neg.f64 v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (/.f64 m v)))))))) |
| 1× | egg-herbie |
| 784× | sqr-pow_binary64 |
| 434× | unswap-sqr_binary64 |
| 423× | associate-*r/_binary64 |
| 410× | *-commutative_binary64 |
| 395× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 168 |
| 1 | 11 | 168 |
| 2 | 20 | 168 |
| 3 | 37 | 168 |
| 4 | 83 | 168 |
| 5 | 256 | 168 |
| 6 | 1053 | 168 |
| 7 | 3447 | 168 |
| 8 | 4249 | 168 |
| 9 | 4434 | 168 |
| 10 | 4650 | 168 |
| 11 | 4981 | 168 |
| 12 | 5411 | 168 |
| 13 | 5891 | 168 |
| 14 | 6535 | 168 |
| 15 | 7220 | 168 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (pow.f64 m 2) v) |
| Outputs |
|---|
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (/.f64 m (/.f64 v m)) | |
| 0.0b | (-.f64 m (/.f64 m (/.f64 v m))) | |
| ✓ | 0.0b | (-.f64 m (/.f64 m (/.f64 v m))) |
| 0.2b | (/.f64 m (/.f64 v m)) |
Compiled 19 to 5 computations (73.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | m | @ | 0 | (-.f64 m (/.f64 m (/.f64 v m))) |
| 0.0ms | v | @ | 0 | (-.f64 m (/.f64 m (/.f64 v m))) |
| 0.0ms | v | @ | -inf | (-.f64 m (/.f64 m (/.f64 v m))) |
| 0.0ms | m | @ | inf | (-.f64 m (/.f64 m (/.f64 v m))) |
| 0.0ms | m | @ | -inf | (-.f64 m (/.f64 m (/.f64 v m))) |
| 1× | batch-egg-rewrite |
| 904× | pow1_binary64 |
| 845× | add-log-exp_binary64 |
| 845× | log1p-expm1-u_binary64 |
| 845× | expm1-log1p-u_binary64 |
| 826× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 142 | 10 |
| 2 | 2278 | 10 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 m (/.f64 m (/.f64 v m))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 m (*.f64 m (neg.f64 (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 m (*.f64 (*.f64 m (neg.f64 (/.f64 m v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 m (*.f64 m (/.f64 m v))) (fma.f64 (neg.f64 (/.f64 m v)) m (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 m (*.f64 m (/.f64 m v))) (fma.f64 (*.f64 m (neg.f64 (/.f64 m v))) 1 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 m (*.f64 m (/.f64 m v))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 m (/.f64 m v)))) (pow.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) 2) (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 m (*.f64 m (/.f64 m v))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 m (/.f64 m v)))) (sqrt.f64 (*.f64 m (/.f64 m v))) (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 m (*.f64 m (/.f64 m v))) (fma.f64 (neg.f64 m) (/.f64 m v) (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (neg.f64 (/.f64 m v))) m)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (-.f64 1 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 m (*.f64 m (/.f64 m v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 m (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 m (*.f64 m (/.f64 m v)))) (pow.f64 (cbrt.f64 (-.f64 m (*.f64 m (/.f64 m v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 m (*.f64 m (/.f64 m v)))) 2) (cbrt.f64 (-.f64 m (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 m (*.f64 m (/.f64 m v)))) (sqrt.f64 (-.f64 m (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 m 3) (pow.f64 (*.f64 m (/.f64 m v)) 3)) (/.f64 1 (fma.f64 m m (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m (*.f64 m (/.f64 m v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 m m) (pow.f64 (*.f64 m (/.f64 m v)) 2)) (/.f64 1 (+.f64 m (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 m) (sqrt.f64 (*.f64 m (/.f64 m v)))) (-.f64 (sqrt.f64 m) (sqrt.f64 (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 m m (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m (*.f64 m (/.f64 m v))))) (-.f64 (pow.f64 m 3) (pow.f64 (*.f64 m (/.f64 m v)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 m (*.f64 m (/.f64 m v))) (-.f64 (*.f64 m m) (pow.f64 (*.f64 m (/.f64 m v)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 m 3) (pow.f64 (*.f64 m (/.f64 m v)) 3)) (fma.f64 m m (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m (*.f64 m (/.f64 m v))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 m m) (pow.f64 (*.f64 m (/.f64 m v)) 2)) (+.f64 m (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 m 3) (pow.f64 (*.f64 m (/.f64 m v)) 3))) (neg.f64 (fma.f64 m m (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m (*.f64 m (/.f64 m v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 m m) (pow.f64 (*.f64 m (/.f64 m v)) 2))) (neg.f64 (+.f64 m (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 m 3) (pow.f64 (*.f64 m (neg.f64 (/.f64 m v))) 3)) (+.f64 (*.f64 m m) (-.f64 (*.f64 (*.f64 m (neg.f64 (/.f64 m v))) (*.f64 m (neg.f64 (/.f64 m v)))) (*.f64 m (*.f64 m (neg.f64 (/.f64 m v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 m m) (*.f64 (*.f64 m (neg.f64 (/.f64 m v))) (*.f64 m (neg.f64 (/.f64 m v))))) (-.f64 m (*.f64 m (neg.f64 (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 m (*.f64 m (/.f64 m v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 m (*.f64 m (/.f64 m v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 m (*.f64 m (/.f64 m v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 m (*.f64 m (/.f64 m v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 m (*.f64 m (/.f64 m v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 m (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 m (*.f64 m (/.f64 m v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 m (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 m (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 m (*.f64 m (neg.f64 (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (cbrt.f64 m) (*.f64 m (neg.f64 (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (sqrt.f64 m) (*.f64 m (neg.f64 (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 m (*.f64 m (/.f64 m v))))))))) |
| 1× | egg-herbie |
| 842× | fma-neg_binary64 |
| 510× | associate-*l*_binary64 |
| 456× | unswap-sqr_binary64 |
| 443× | cancel-sign-sub-inv_binary64 |
| 392× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 228 |
| 1 | 20 | 210 |
| 2 | 39 | 210 |
| 3 | 78 | 210 |
| 4 | 207 | 210 |
| 5 | 842 | 210 |
| 6 | 3874 | 210 |
| 1× | node limit |
| Inputs |
|---|
m |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
m |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
m |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
| Outputs |
|---|
m |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
(fma.f64 -1 (/.f64 (*.f64 m m) v) m) |
(-.f64 m (/.f64 m (/.f64 v m))) |
(-.f64 m (*.f64 (/.f64 m v) m)) |
(-.f64 m (*.f64 m (/.f64 m v))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
(fma.f64 -1 (/.f64 (*.f64 m m) v) m) |
(-.f64 m (/.f64 m (/.f64 v m))) |
(-.f64 m (*.f64 (/.f64 m v) m)) |
(-.f64 m (*.f64 m (/.f64 m v))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
(fma.f64 -1 (/.f64 (*.f64 m m) v) m) |
(-.f64 m (/.f64 m (/.f64 v m))) |
(-.f64 m (*.f64 (/.f64 m v) m)) |
(-.f64 m (*.f64 m (/.f64 m v))) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(neg.f64 (/.f64 (*.f64 m m) v)) |
(/.f64 (neg.f64 (*.f64 m m)) v) |
(/.f64 (neg.f64 m) (/.f64 v m)) |
(*.f64 (/.f64 m v) (neg.f64 m)) |
(*.f64 (neg.f64 m) (/.f64 m v)) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
(fma.f64 -1 (/.f64 (*.f64 m m) v) m) |
(-.f64 m (/.f64 m (/.f64 v m))) |
(-.f64 m (*.f64 (/.f64 m v) m)) |
(-.f64 m (*.f64 m (/.f64 m v))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
(fma.f64 -1 (/.f64 (*.f64 m m) v) m) |
(-.f64 m (/.f64 m (/.f64 v m))) |
(-.f64 m (*.f64 (/.f64 m v) m)) |
(-.f64 m (*.f64 m (/.f64 m v))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
(fma.f64 -1 (/.f64 (*.f64 m m) v) m) |
(-.f64 m (/.f64 m (/.f64 v m))) |
(-.f64 m (*.f64 (/.f64 m v) m)) |
(-.f64 m (*.f64 m (/.f64 m v))) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(neg.f64 (/.f64 (*.f64 m m) v)) |
(/.f64 (neg.f64 (*.f64 m m)) v) |
(/.f64 (neg.f64 m) (/.f64 v m)) |
(*.f64 (/.f64 m v) (neg.f64 m)) |
(*.f64 (neg.f64 m) (/.f64 m v)) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
(fma.f64 -1 (/.f64 (*.f64 m m) v) m) |
(-.f64 m (/.f64 m (/.f64 v m))) |
(-.f64 m (*.f64 (/.f64 m v) m)) |
(-.f64 m (*.f64 m (/.f64 m v))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
(fma.f64 -1 (/.f64 (*.f64 m m) v) m) |
(-.f64 m (/.f64 m (/.f64 v m))) |
(-.f64 m (*.f64 (/.f64 m v) m)) |
(-.f64 m (*.f64 m (/.f64 m v))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
(fma.f64 -1 (/.f64 (*.f64 m m) v) m) |
(-.f64 m (/.f64 m (/.f64 v m))) |
(-.f64 m (*.f64 (/.f64 m v) m)) |
(-.f64 m (*.f64 m (/.f64 m v))) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(neg.f64 (/.f64 (*.f64 m m) v)) |
(/.f64 (neg.f64 (*.f64 m m)) v) |
(/.f64 (neg.f64 m) (/.f64 v m)) |
(*.f64 (/.f64 m v) (neg.f64 m)) |
(*.f64 (neg.f64 m) (/.f64 m v)) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
(fma.f64 -1 (/.f64 (*.f64 m m) v) m) |
(-.f64 m (/.f64 m (/.f64 v m))) |
(-.f64 m (*.f64 (/.f64 m v) m)) |
(-.f64 m (*.f64 m (/.f64 m v))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
(fma.f64 -1 (/.f64 (*.f64 m m) v) m) |
(-.f64 m (/.f64 m (/.f64 v m))) |
(-.f64 m (*.f64 (/.f64 m v) m)) |
(-.f64 m (*.f64 m (/.f64 m v))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
(fma.f64 -1 (/.f64 (*.f64 m m) v) m) |
(-.f64 m (/.f64 m (/.f64 v m))) |
(-.f64 m (*.f64 (/.f64 m v) m)) |
(-.f64 m (*.f64 m (/.f64 m v))) |
m |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
(fma.f64 -1 (/.f64 (*.f64 m m) v) m) |
(-.f64 m (/.f64 m (/.f64 v m))) |
(-.f64 m (*.f64 (/.f64 m v) m)) |
(-.f64 m (*.f64 m (/.f64 m v))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
(fma.f64 -1 (/.f64 (*.f64 m m) v) m) |
(-.f64 m (/.f64 m (/.f64 v m))) |
(-.f64 m (*.f64 (/.f64 m v) m)) |
(-.f64 m (*.f64 m (/.f64 m v))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
(fma.f64 -1 (/.f64 (*.f64 m m) v) m) |
(-.f64 m (/.f64 m (/.f64 v m))) |
(-.f64 m (*.f64 (/.f64 m v) m)) |
(-.f64 m (*.f64 m (/.f64 m v))) |
m |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
(fma.f64 -1 (/.f64 (*.f64 m m) v) m) |
(-.f64 m (/.f64 m (/.f64 v m))) |
(-.f64 m (*.f64 (/.f64 m v) m)) |
(-.f64 m (*.f64 m (/.f64 m v))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
(fma.f64 -1 (/.f64 (*.f64 m m) v) m) |
(-.f64 m (/.f64 m (/.f64 v m))) |
(-.f64 m (*.f64 (/.f64 m v) m)) |
(-.f64 m (*.f64 m (/.f64 m v))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m) |
(fma.f64 -1 (/.f64 (*.f64 m m) v) m) |
(-.f64 m (/.f64 m (/.f64 v m))) |
(-.f64 m (*.f64 (/.f64 m v) m)) |
(-.f64 m (*.f64 m (/.f64 m v))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 m (/.f64 (neg.f64 m) v)) | |
| 0.1b | (*.f64 m (*.f64 m (/.f64 (neg.f64 m) v))) | |
| ✓ | 0.1b | (*.f64 m (*.f64 m (/.f64 (neg.f64 m) v))) |
| ✓ | 0.2b | (*.f64 m (/.f64 (neg.f64 m) v)) |
Compiled 24 to 6 computations (75% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | v | @ | 0 | (*.f64 m (*.f64 m (/.f64 (neg.f64 m) v))) |
| 1.0ms | m | @ | 0 | (*.f64 m (*.f64 m (/.f64 (neg.f64 m) v))) |
| 1.0ms | v | @ | inf | (*.f64 m (*.f64 m (/.f64 (neg.f64 m) v))) |
| 1.0ms | m | @ | 0 | (*.f64 m (/.f64 (neg.f64 m) v)) |
| 1.0ms | m | @ | inf | (*.f64 m (*.f64 m (/.f64 (neg.f64 m) v))) |
| 1× | batch-egg-rewrite |
| 687× | pow1_binary64 |
| 634× | add-log-exp_binary64 |
| 633× | log1p-expm1-u_binary64 |
| 633× | expm1-log1p-u_binary64 |
| 620× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 21 |
| 1 | 152 | 14 |
| 2 | 2231 | 14 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 m (/.f64 (neg.f64 m) v)) |
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 m (/.f64 m v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 v (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m m) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m m) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m m) (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (/.f64 m v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (sqrt.f64 v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 m 3) (pow.f64 (/.f64 m v) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 m v) 3) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (/.f64 m v)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 m 3) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 m 3) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 m 3) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m m) 1) (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 m 3) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 m 3) v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (sqrt.f64 (/.f64 m v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 m 3) (pow.f64 (*.f64 m (/.f64 m v)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 m 3) v))))))) |
| 1× | egg-herbie |
| 818× | distribute-rgt-neg-in_binary64 |
| 752× | distribute-lft-neg-in_binary64 |
| 548× | fma-def_binary64 |
| 536× | unswap-sqr_binary64 |
| 509× | cancel-sign-sub-inv_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 432 |
| 1 | 32 | 432 |
| 2 | 69 | 432 |
| 3 | 156 | 432 |
| 4 | 483 | 432 |
| 5 | 2302 | 432 |
| 6 | 5023 | 432 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(neg.f64 (/.f64 (*.f64 m m) v)) |
(*.f64 (/.f64 m v) (neg.f64 m)) |
(*.f64 m (neg.f64 (/.f64 m v))) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(neg.f64 (/.f64 (*.f64 m m) v)) |
(*.f64 (/.f64 m v) (neg.f64 m)) |
(*.f64 m (neg.f64 (/.f64 m v))) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(neg.f64 (/.f64 (*.f64 m m) v)) |
(*.f64 (/.f64 m v) (neg.f64 m)) |
(*.f64 m (neg.f64 (/.f64 m v))) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(neg.f64 (/.f64 (*.f64 m m) v)) |
(*.f64 (/.f64 m v) (neg.f64 m)) |
(*.f64 m (neg.f64 (/.f64 m v))) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(neg.f64 (/.f64 (*.f64 m m) v)) |
(*.f64 (/.f64 m v) (neg.f64 m)) |
(*.f64 m (neg.f64 (/.f64 m v))) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(neg.f64 (/.f64 (*.f64 m m) v)) |
(*.f64 (/.f64 m v) (neg.f64 m)) |
(*.f64 m (neg.f64 (/.f64 m v))) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(neg.f64 (/.f64 (*.f64 m m) v)) |
(*.f64 (/.f64 m v) (neg.f64 m)) |
(*.f64 m (neg.f64 (/.f64 m v))) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(neg.f64 (/.f64 (*.f64 m m) v)) |
(*.f64 (/.f64 m v) (neg.f64 m)) |
(*.f64 m (neg.f64 (/.f64 m v))) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(neg.f64 (/.f64 (*.f64 m m) v)) |
(*.f64 (/.f64 m v) (neg.f64 m)) |
(*.f64 m (neg.f64 (/.f64 m v))) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(neg.f64 (/.f64 (*.f64 m m) v)) |
(*.f64 (/.f64 m v) (neg.f64 m)) |
(*.f64 m (neg.f64 (/.f64 m v))) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(neg.f64 (/.f64 (*.f64 m m) v)) |
(*.f64 (/.f64 m v) (neg.f64 m)) |
(*.f64 m (neg.f64 (/.f64 m v))) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(neg.f64 (/.f64 (*.f64 m m) v)) |
(*.f64 (/.f64 m v) (neg.f64 m)) |
(*.f64 m (neg.f64 (/.f64 m v))) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(neg.f64 (/.f64 (*.f64 m m) v)) |
(*.f64 (/.f64 m v) (neg.f64 m)) |
(*.f64 m (neg.f64 (/.f64 m v))) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(neg.f64 (/.f64 (*.f64 m m) v)) |
(*.f64 (/.f64 m v) (neg.f64 m)) |
(*.f64 m (neg.f64 (/.f64 m v))) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(neg.f64 (/.f64 (*.f64 m m) v)) |
(*.f64 (/.f64 m v) (neg.f64 m)) |
(*.f64 m (neg.f64 (/.f64 m v))) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(neg.f64 (/.f64 (*.f64 m m) v)) |
(*.f64 (/.f64 m v) (neg.f64 m)) |
(*.f64 m (neg.f64 (/.f64 m v))) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(neg.f64 (/.f64 (*.f64 m m) v)) |
(*.f64 (/.f64 m v) (neg.f64 m)) |
(*.f64 m (neg.f64 (/.f64 m v))) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(neg.f64 (/.f64 (*.f64 m m) v)) |
(*.f64 (/.f64 m v) (neg.f64 m)) |
(*.f64 m (neg.f64 (/.f64 m v))) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(neg.f64 (/.f64 (*.f64 m m) v)) |
(*.f64 (/.f64 m v) (neg.f64 m)) |
(*.f64 m (neg.f64 (/.f64 m v))) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(neg.f64 (/.f64 (*.f64 m m) v)) |
(*.f64 (/.f64 m v) (neg.f64 m)) |
(*.f64 m (neg.f64 (/.f64 m v))) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(neg.f64 (/.f64 (*.f64 m m) v)) |
(*.f64 (/.f64 m v) (neg.f64 m)) |
(*.f64 m (neg.f64 (/.f64 m v))) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(neg.f64 (/.f64 (*.f64 m m) v)) |
(*.f64 (/.f64 m v) (neg.f64 m)) |
(*.f64 m (neg.f64 (/.f64 m v))) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(neg.f64 (/.f64 (*.f64 m m) v)) |
(*.f64 (/.f64 m v) (neg.f64 m)) |
(*.f64 m (neg.f64 (/.f64 m v))) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 2) v)) |
(neg.f64 (/.f64 (*.f64 m m) v)) |
(*.f64 (/.f64 m v) (neg.f64 m)) |
(*.f64 m (neg.f64 (/.f64 m v))) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
(*.f64 -1 (/.f64 (pow.f64 m 3) v)) |
(neg.f64 (/.f64 (pow.f64 m 3) v)) |
(/.f64 (neg.f64 (pow.f64 m 3)) v) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 m (/.f64 1 v)) | |
| 0.2b | (*.f64 m (*.f64 m (/.f64 1 v))) | |
| 0.0b | (-.f64 (*.f64 m (*.f64 m (/.f64 1 v))) m) | |
| ✓ | 0.0b | (-.f64 (*.f64 m (*.f64 m (/.f64 1 v))) m) |
| 0.2b | (*.f64 m (*.f64 m (/.f64 1 v))) | |
| 0.3b | (*.f64 m (/.f64 1 v)) |
Compiled 29 to 17 computations (41.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | m | @ | 0 | (-.f64 (*.f64 m (*.f64 m (/.f64 1 v))) m) |
| 0.0ms | m | @ | inf | (-.f64 (*.f64 m (*.f64 m (/.f64 1 v))) m) |
| 0.0ms | v | @ | inf | (-.f64 (*.f64 m (*.f64 m (/.f64 1 v))) m) |
| 0.0ms | m | @ | -inf | (-.f64 (*.f64 m (*.f64 m (/.f64 1 v))) m) |
| 0.0ms | v | @ | -inf | (-.f64 (*.f64 m (*.f64 m (/.f64 1 v))) m) |
| 1× | batch-egg-rewrite |
| 900× | pow1_binary64 |
| 835× | add-log-exp_binary64 |
| 835× | log1p-expm1-u_binary64 |
| 835× | expm1-log1p-u_binary64 |
| 817× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 174 | 10 |
| 2 | 2348 | 10 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 m (*.f64 m (/.f64 1 v))) m) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (/.f64 m v)) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (/.f64 m v)) (*.f64 (neg.f64 m) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 m (/.f64 m v)) m) (fma.f64 (neg.f64 m) 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 m (/.f64 m v)) m) (fma.f64 (neg.f64 (cbrt.f64 m)) (pow.f64 (cbrt.f64 m) 2) m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 m (/.f64 m v)) m) (fma.f64 (neg.f64 (sqrt.f64 m)) (sqrt.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 m) (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (-.f64 (/.f64 m v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 m (/.f64 m v)) m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 m (/.f64 m v)) m) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 m (/.f64 m v)) m)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 m (/.f64 m v)) m)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 m (/.f64 m v)) m)) 2) (cbrt.f64 (-.f64 (*.f64 m (/.f64 m v)) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 m (/.f64 m v)) m)) (sqrt.f64 (-.f64 (*.f64 m (/.f64 m v)) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) (pow.f64 m 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m (fma.f64 m (/.f64 m v) m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m m)) (/.f64 1 (fma.f64 m (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 m (pow.f64 v -1/2)) (sqrt.f64 m)) (-.f64 (*.f64 m (pow.f64 v -1/2)) (sqrt.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m (fma.f64 m (/.f64 m v) m))) (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) (pow.f64 m 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 m (/.f64 m v) m) (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) (pow.f64 m 3)) (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m (fma.f64 m (/.f64 m v) m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m m)) (fma.f64 m (/.f64 m v) m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) (pow.f64 m 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m (fma.f64 m (/.f64 m v) m)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m m))) (neg.f64 (fma.f64 m (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) (pow.f64 (neg.f64 m) 3)) (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (-.f64 (*.f64 (neg.f64 m) (neg.f64 m)) (*.f64 (*.f64 m (/.f64 m v)) (neg.f64 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 (neg.f64 m) (neg.f64 m))) (-.f64 (*.f64 m (/.f64 m v)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 m (/.f64 m v)) m) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 m (/.f64 m v)) m) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 m (/.f64 m v)) m)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 m (/.f64 m v)) m)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 m (/.f64 m v)) m) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 m (/.f64 m v)) m)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 m (/.f64 m v)) m) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 m (/.f64 m v)) m)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 m (/.f64 m v)) m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (/.f64 m v) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 m (/.f64 m v)) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m v) m (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m m) (/.f64 1 v) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) 2) (cbrt.f64 (*.f64 m (/.f64 m v))) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (pow.f64 v -1/2)) (*.f64 m (pow.f64 v -1/2)) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 m (/.f64 m v)) m))))))) |
| 1× | egg-herbie |
| 622× | associate-/r/_binary64 |
| 478× | associate-/r*_binary64 |
| 435× | fma-def_binary64 |
| 434× | unswap-sqr_binary64 |
| 427× | associate-/l/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 228 |
| 1 | 18 | 210 |
| 2 | 30 | 210 |
| 3 | 61 | 210 |
| 4 | 144 | 210 |
| 5 | 467 | 210 |
| 6 | 2152 | 210 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(/.f64 (pow.f64 m 2) v) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(/.f64 (pow.f64 m 2) v) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(/.f64 (pow.f64 m 2) v) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(*.f64 -1 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
| Outputs |
|---|
(*.f64 -1 m) |
(neg.f64 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(/.f64 (pow.f64 m 2) v) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(*.f64 -1 m) |
(neg.f64 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(*.f64 -1 m) |
(neg.f64 m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(fma.f64 -1 m (/.f64 (*.f64 m m) v)) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 (*.f64 (/.f64 m v) m) m) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
Compiled 3667 to 1205 computations (67.1% saved)
20 alts after pruning (11 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 311 | 3 | 314 |
| Fresh | 2 | 8 | 10 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 8 | 8 |
| Total | 313 | 20 | 333 |
| Status | Error | Program |
|---|---|---|
| 44.0b | (/.f64 (*.f64 m m) v) | |
| 28.9b | (/.f64 m (*.f64 (/.f64 1 m) (/.f64 v (-.f64 1 m)))) | |
| 60.9b | m | |
| ✓ | 34.7b | (neg.f64 m) |
| ✓ | 52.8b | (*.f64 m (*.f64 m (/.f64 (neg.f64 m) v))) |
| 38.9b | (pow.f64 (/.f64 m (sqrt.f64 v)) 2) | |
| ✓ | 38.7b | (*.f64 m (/.f64 m v)) |
| ✓ | 10.2b | (-.f64 (*.f64 m (*.f64 m (/.f64 1 v))) m) |
| ✓ | 61.3b | (-.f64 m (/.f64 m (/.f64 v m))) |
| 38.3b | (/.f64 m (+.f64 v (/.f64 v m))) | |
| ✓ | 10.1b | (*.f64 (-.f64 (/.f64 m v) 1) m) |
| 60.4b | (*.f64 m (/.f64 (neg.f64 m) v)) | |
| ✓ | 10.1b | (-.f64 (*.f64 m (/.f64 m v)) m) |
| 52.8b | (*.f64 m (/.f64 (*.f64 m (neg.f64 m)) v)) | |
| ✓ | 38.8b | (/.f64 m (/.f64 v m)) |
| 28.8b | (*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m)) | |
| 52.8b | (/.f64 m (/.f64 v (*.f64 m (neg.f64 m)))) | |
| ✓ | 28.8b | (*.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v)) |
| 44.0b | (*.f64 (/.f64 1 v) (/.f64 m (/.f64 1 m))) | |
| 10.2b | (+.f64 (*.f64 -1 m) (pow.f64 (/.f64 (/.f64 v m) m) -1)) |
Compiled 180 to 114 computations (36.7% saved)
| Inputs |
|---|
m |
(neg.f64 m) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 m (/.f64 m v)) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(-.f64 m (*.f64 m (/.f64 m v))) |
(/.f64 m (+.f64 v (/.f64 v m))) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 m (/.f64 m (/.f64 v m))) |
(*.f64 (-.f64 (/.f64 m v) 1) m) |
(*.f64 (-.f64 (/.f64 m v) 1) m) |
(/.f64 m (/.f64 v (*.f64 m (neg.f64 m)))) |
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v))) |
(*.f64 m (/.f64 (*.f64 m (neg.f64 m)) v)) |
(*.f64 m (*.f64 m (neg.f64 (/.f64 m v)))) |
(*.f64 (/.f64 1 v) (/.f64 m (/.f64 1 m))) |
(-.f64 (*.f64 m (*.f64 m (/.f64 1 v))) m) |
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m)) |
(/.f64 (*.f64 m m) (/.f64 v (-.f64 1 m))) |
(/.f64 m (/.f64 v (*.f64 m (-.f64 1 m)))) |
(*.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v)) |
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v)) |
(/.f64 m (*.f64 (/.f64 1 m) (/.f64 v (-.f64 1 m)))) |
(+.f64 (*.f64 -1 m) (*.f64 m (*.f64 m (/.f64 1 v)))) |
(*.f64 m (*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))) |
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m) |
(*.f64 m (+.f64 (/.f64 m (/.f64 v (-.f64 1 m))) -1)) |
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m) |
(+.f64 (*.f64 (/.f64 m (/.f64 v (-.f64 1 m))) m) (neg.f64 m)) |
(*.f64 (/.f64 1 v) (/.f64 m (/.f64 1 (*.f64 m (-.f64 1 m))))) |
(*.f64 (-.f64 (*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m)))) 1) m) |
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)) |
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) |
(+.f64 (*.f64 -1 m) (pow.f64 (/.f64 (/.f64 v m) m) -1)) |
(*.f64 (-.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -1) 1) m) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 2) -1) m) (+.f64 1 (/.f64 (*.f64 m (-.f64 1 m)) v))) |
(pow.f64 (/.f64 m (sqrt.f64 v)) 2) |
(+.f64 (*.f64 -1 m) (pow.f64 (/.f64 m (sqrt.f64 v)) 2)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)) |
(*.f64 (-.f64 (*.f64 (/.f64 (-.f64 1 m) (sqrt.f64 v)) (/.f64 m (sqrt.f64 v))) 1) m) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (/.f64 1 v))) 1) m) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) -1) m) (fma.f64 (/.f64 m v) (-.f64 1 m) 1)) |
(pow.f64 (sqrt.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 2) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 m (/.f64 v (-.f64 1 m))) m) (neg.f64 m)) |
3 calls:
| 25.0ms | (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m) |
| 25.0ms | m |
| 22.0ms | v |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | m |
| 0.1b | 1 | v |
| 0.1b | 1 | (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m) |
Compiled 479 to 259 computations (45.9% saved)
| Inputs |
|---|
m |
(neg.f64 m) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 m (/.f64 m v)) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(-.f64 m (*.f64 m (/.f64 m v))) |
(/.f64 m (+.f64 v (/.f64 v m))) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 m (/.f64 m (/.f64 v m))) |
(*.f64 (-.f64 (/.f64 m v) 1) m) |
(*.f64 (-.f64 (/.f64 m v) 1) m) |
(/.f64 m (/.f64 v (*.f64 m (neg.f64 m)))) |
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v))) |
(*.f64 m (/.f64 (*.f64 m (neg.f64 m)) v)) |
(*.f64 m (*.f64 m (neg.f64 (/.f64 m v)))) |
(*.f64 (/.f64 1 v) (/.f64 m (/.f64 1 m))) |
(-.f64 (*.f64 m (*.f64 m (/.f64 1 v))) m) |
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m)) |
(/.f64 (*.f64 m m) (/.f64 v (-.f64 1 m))) |
(/.f64 m (/.f64 v (*.f64 m (-.f64 1 m)))) |
(*.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v)) |
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v)) |
(/.f64 m (*.f64 (/.f64 1 m) (/.f64 v (-.f64 1 m)))) |
(+.f64 (*.f64 -1 m) (*.f64 m (*.f64 m (/.f64 1 v)))) |
(*.f64 m (*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))) |
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m) |
(*.f64 m (+.f64 (/.f64 m (/.f64 v (-.f64 1 m))) -1)) |
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m) |
| Outputs |
|---|
(*.f64 m (+.f64 (/.f64 m (/.f64 v (-.f64 1 m))) -1)) |
3 calls:
| 17.0ms | (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m) |
| 16.0ms | v |
| 16.0ms | m |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | m |
| 0.1b | 1 | v |
| 0.1b | 1 | (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m) |
Compiled 262 to 120 computations (54.2% saved)
| Inputs |
|---|
m |
(neg.f64 m) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 m (/.f64 m v)) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(-.f64 m (*.f64 m (/.f64 m v))) |
(/.f64 m (+.f64 v (/.f64 v m))) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 m (/.f64 m (/.f64 v m))) |
(*.f64 (-.f64 (/.f64 m v) 1) m) |
(*.f64 (-.f64 (/.f64 m v) 1) m) |
(/.f64 m (/.f64 v (*.f64 m (neg.f64 m)))) |
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v))) |
(*.f64 m (/.f64 (*.f64 m (neg.f64 m)) v)) |
(*.f64 m (*.f64 m (neg.f64 (/.f64 m v)))) |
(*.f64 (/.f64 1 v) (/.f64 m (/.f64 1 m))) |
(-.f64 (*.f64 m (*.f64 m (/.f64 1 v))) m) |
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m)) |
(/.f64 (*.f64 m m) (/.f64 v (-.f64 1 m))) |
(/.f64 m (/.f64 v (*.f64 m (-.f64 1 m)))) |
(*.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v)) |
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v)) |
(/.f64 m (*.f64 (/.f64 1 m) (/.f64 v (-.f64 1 m)))) |
(+.f64 (*.f64 -1 m) (*.f64 m (*.f64 m (/.f64 1 v)))) |
(*.f64 m (*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))) |
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m) |
2 calls:
| 17.0ms | v |
| 16.0ms | m |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 1 | m |
| 0.2b | 1 | v |
Compiled 227 to 97 computations (57.3% saved)
| Inputs |
|---|
m |
(neg.f64 m) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 m (/.f64 m v)) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(-.f64 m (*.f64 m (/.f64 m v))) |
(/.f64 m (+.f64 v (/.f64 v m))) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 m (/.f64 m (/.f64 v m))) |
(*.f64 (-.f64 (/.f64 m v) 1) m) |
(*.f64 (-.f64 (/.f64 m v) 1) m) |
(/.f64 m (/.f64 v (*.f64 m (neg.f64 m)))) |
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v))) |
(*.f64 m (/.f64 (*.f64 m (neg.f64 m)) v)) |
(*.f64 m (*.f64 m (neg.f64 (/.f64 m v)))) |
(*.f64 (/.f64 1 v) (/.f64 m (/.f64 1 m))) |
(-.f64 (*.f64 m (*.f64 m (/.f64 1 v))) m) |
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m)) |
(/.f64 (*.f64 m m) (/.f64 v (-.f64 1 m))) |
(/.f64 m (/.f64 v (*.f64 m (-.f64 1 m)))) |
(*.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v)) |
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v)) |
(/.f64 m (*.f64 (/.f64 1 m) (/.f64 v (-.f64 1 m)))) |
(+.f64 (*.f64 -1 m) (*.f64 m (*.f64 m (/.f64 1 v)))) |
(*.f64 m (*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))) |
| Outputs |
|---|
(-.f64 (*.f64 m (/.f64 m v)) m) |
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m)) |
2 calls:
| 39.0ms | v |
| 27.0ms | m |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 2 | m |
| 8.3b | 3 | v |
Compiled 216 to 90 computations (58.3% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 1.7020584006126057e-24 | 8.11750676073924e-23 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
m |
(neg.f64 m) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 m (/.f64 m v)) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(-.f64 m (*.f64 m (/.f64 m v))) |
(/.f64 m (+.f64 v (/.f64 v m))) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 m (/.f64 m (/.f64 v m))) |
(*.f64 (-.f64 (/.f64 m v) 1) m) |
(*.f64 (-.f64 (/.f64 m v) 1) m) |
(/.f64 m (/.f64 v (*.f64 m (neg.f64 m)))) |
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v))) |
(*.f64 m (/.f64 (*.f64 m (neg.f64 m)) v)) |
(*.f64 m (*.f64 m (neg.f64 (/.f64 m v)))) |
(*.f64 (/.f64 1 v) (/.f64 m (/.f64 1 m))) |
(-.f64 (*.f64 m (*.f64 m (/.f64 1 v))) m) |
| Outputs |
|---|
(-.f64 (*.f64 m (/.f64 m v)) m) |
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v))) |
2 calls:
| 30.0ms | v |
| 20.0ms | m |
| Error | Segments | Branch |
|---|---|---|
| 1.4b | 2 | m |
| 8.9b | 3 | v |
Compiled 138 to 48 computations (65.2% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 0.0028734812165592764 | 448.85196643941754 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
m |
(neg.f64 m) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 m (/.f64 m v)) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(-.f64 m (*.f64 m (/.f64 m v))) |
(/.f64 m (+.f64 v (/.f64 v m))) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 m (/.f64 m (/.f64 v m))) |
(*.f64 (-.f64 (/.f64 m v) 1) m) |
(*.f64 (-.f64 (/.f64 m v) 1) m) |
(/.f64 m (/.f64 v (*.f64 m (neg.f64 m)))) |
| Outputs |
|---|
(-.f64 (*.f64 m (/.f64 m v)) m) |
(/.f64 m (/.f64 v (*.f64 m (neg.f64 m)))) |
2 calls:
| 25.0ms | v |
| 15.0ms | m |
| Error | Segments | Branch |
|---|---|---|
| 1.5b | 2 | m |
| 8.9b | 3 | v |
Compiled 96 to 31 computations (67.7% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 0.0028734812165592764 | 448.85196643941754 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
m |
(neg.f64 m) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 m (/.f64 m v)) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(-.f64 m (*.f64 m (/.f64 m v))) |
(/.f64 m (+.f64 v (/.f64 v m))) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(-.f64 (/.f64 (*.f64 m m) v) m) |
(-.f64 (/.f64 m (/.f64 v m)) m) |
(-.f64 m (/.f64 m (/.f64 v m))) |
(*.f64 (-.f64 (/.f64 m v) 1) m) |
(*.f64 (-.f64 (/.f64 m v) 1) m) |
| Outputs |
|---|
(-.f64 (*.f64 m (/.f64 m v)) m) |
2 calls:
| 9.0ms | m |
| 8.0ms | v |
| Error | Segments | Branch |
|---|---|---|
| 10.1b | 1 | m |
| 10.1b | 1 | v |
Compiled 88 to 28 computations (68.2% saved)
| Inputs |
|---|
m |
(neg.f64 m) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 m (/.f64 m v)) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(-.f64 m (*.f64 m (/.f64 m v))) |
(/.f64 m (+.f64 v (/.f64 v m))) |
| Outputs |
|---|
(/.f64 m (+.f64 v (/.f64 v m))) |
(neg.f64 m) |
(/.f64 (*.f64 m m) v) |
(neg.f64 m) |
2 calls:
| 21.0ms | v |
| 16.0ms | m |
| Error | Segments | Branch |
|---|---|---|
| 22.8b | 2 | m |
| 22.0b | 4 | v |
Compiled 46 to 18 computations (60.9% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 3.5622284953776748e-118 | 6.083886970122525e-117 |
| 20.0ms | 8.239454599011323e-126 | 1.947360573701014e-122 |
| 20.0ms | 3.303308531097567e-181 | 4.481657572684769e-181 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
m |
(neg.f64 m) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
(*.f64 m (/.f64 m v)) |
(*.f64 m (/.f64 (neg.f64 m) v)) |
(-.f64 m (*.f64 m (/.f64 m v))) |
| Outputs |
|---|
(*.f64 m (/.f64 m v)) |
(neg.f64 m) |
(/.f64 (*.f64 m m) v) |
(neg.f64 m) |
2 calls:
| 18.0ms | v |
| 17.0ms | m |
| Error | Segments | Branch |
|---|---|---|
| 23.2b | 2 | m |
| 22.2b | 4 | v |
Compiled 39 to 16 computations (59% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 3.5622284953776748e-118 | 6.083886970122525e-117 |
| 20.0ms | 8.239454599011323e-126 | 1.947360573701014e-122 |
| 19.0ms | 3.303308531097567e-181 | 4.481657572684769e-181 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
m |
(neg.f64 m) |
(/.f64 (*.f64 m m) v) |
(/.f64 m (/.f64 v m)) |
| Outputs |
|---|
(/.f64 m (/.f64 v m)) |
(neg.f64 m) |
(/.f64 (*.f64 m m) v) |
(neg.f64 m) |
2 calls:
| 15.0ms | v |
| 13.0ms | m |
| Error | Segments | Branch |
|---|---|---|
| 23.2b | 2 | m |
| 22.3b | 4 | v |
Compiled 21 to 11 computations (47.6% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 3.5622284953776748e-118 | 6.083886970122525e-117 |
| 19.0ms | 8.239454599011323e-126 | 1.947360573701014e-122 |
| 20.0ms | 3.303308531097567e-181 | 4.481657572684769e-181 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
m |
(neg.f64 m) |
(/.f64 (*.f64 m m) v) |
| Outputs |
|---|
(neg.f64 m) |
(/.f64 (*.f64 m m) v) |
2 calls:
| 15.0ms | v |
| 11.0ms | m |
| Error | Segments | Branch |
|---|---|---|
| 23.2b | 2 | m |
| 27.6b | 4 | v |
Compiled 16 to 9 computations (43.8% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 6.598331315163483e-132 | 7.624176474682895e-131 |
Compiled 18 to 13 computations (27.8% saved)
Total -27.2b remaining (-78.5%)
Threshold costs -27.2b (-78.5%)
| Inputs |
|---|
m |
(neg.f64 m) |
| Outputs |
|---|
(neg.f64 m) |
2 calls:
| 4.0ms | v |
| 3.0ms | m |
| Error | Segments | Branch |
|---|---|---|
| 34.7b | 1 | m |
| 34.7b | 1 | v |
Compiled 11 to 7 computations (36.4% saved)
| 1× | egg-herbie |
| 15× | *-commutative_binary64 |
| 11× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 280 |
| 1 | 78 | 280 |
| 2 | 88 | 280 |
| 3 | 101 | 280 |
| 4 | 111 | 280 |
| 5 | 114 | 280 |
| 6 | 115 | 280 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 (/.f64 m (/.f64 v (-.f64 1 m))) m) (neg.f64 m)) |
(*.f64 m (+.f64 (/.f64 m (/.f64 v (-.f64 1 m))) -1)) |
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m) |
(if (<=.f64 m 4633443689584995/2722258935367507707706996859454145691648) (-.f64 (*.f64 m (/.f64 m v)) m) (*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))) |
(if (<=.f64 m 53006372602480544/18446744073709551616) (-.f64 (*.f64 m (/.f64 m v)) m) (*.f64 m (*.f64 m (/.f64 (neg.f64 m) v)))) |
(if (<=.f64 m 53006372602480544/18446744073709551616) (-.f64 (*.f64 m (/.f64 m v)) m) (/.f64 m (/.f64 v (*.f64 m (neg.f64 m))))) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(if (<=.f64 v 1543285659117307/4671939192445127903888559724237098316690665991422525368913093138328857771221685643782054718788988313373329725003360673086145233634688448510210725191395547328770042546544911308884863172860522266624) (/.f64 m (+.f64 v (/.f64 v m))) (if (<=.f64 v 3139832208234623/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928) (neg.f64 m) (if (<=.f64 v 258916561522976832/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) (/.f64 (*.f64 m m) v) (neg.f64 m)))) |
(if (<=.f64 v 1543285659117307/4671939192445127903888559724237098316690665991422525368913093138328857771221685643782054718788988313373329725003360673086145233634688448510210725191395547328770042546544911308884863172860522266624) (*.f64 m (/.f64 m v)) (if (<=.f64 v 3139832208234623/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928) (neg.f64 m) (if (<=.f64 v 258916561522976832/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) (/.f64 (*.f64 m m) v) (neg.f64 m)))) |
(if (<=.f64 v 1543285659117307/4671939192445127903888559724237098316690665991422525368913093138328857771221685643782054718788988313373329725003360673086145233634688448510210725191395547328770042546544911308884863172860522266624) (/.f64 m (/.f64 v m)) (if (<=.f64 v 3139832208234623/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928) (neg.f64 m) (if (<=.f64 v 258916561522976832/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) (/.f64 (*.f64 m m) v) (neg.f64 m)))) |
(if (<=.f64 m 659146598963719/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632) (neg.f64 m) (/.f64 (*.f64 m m) v)) |
(neg.f64 m) |
m |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 m (/.f64 v (-.f64 1 m))) m) (neg.f64 m)) |
(-.f64 (*.f64 m (/.f64 m (/.f64 v (-.f64 1 m)))) m) |
(*.f64 m (+.f64 (/.f64 m (/.f64 v (-.f64 1 m))) -1)) |
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m) |
(*.f64 m (+.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) -1)) |
(*.f64 m (+.f64 -1 (*.f64 m (/.f64 (-.f64 1 m) v)))) |
(if (<=.f64 m 4633443689584995/2722258935367507707706996859454145691648) (-.f64 (*.f64 m (/.f64 m v)) m) (*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))) |
(if (<=.f64 m 4633443689584995/2722258935367507707706996859454145691648) (-.f64 (*.f64 m (/.f64 m v)) m) (*.f64 (-.f64 1 m) (/.f64 m (/.f64 v m)))) |
(if (<=.f64 m 53006372602480544/18446744073709551616) (-.f64 (*.f64 m (/.f64 m v)) m) (*.f64 m (*.f64 m (/.f64 (neg.f64 m) v)))) |
(if (<=.f64 m 1656449143827517/576460752303423488) (-.f64 (*.f64 m (/.f64 m v)) m) (*.f64 m (*.f64 m (/.f64 (neg.f64 m) v)))) |
(if (<=.f64 m 53006372602480544/18446744073709551616) (-.f64 (*.f64 m (/.f64 m v)) m) (/.f64 m (/.f64 v (*.f64 m (neg.f64 m))))) |
(if (<=.f64 m 1656449143827517/576460752303423488) (-.f64 (*.f64 m (/.f64 m v)) m) (/.f64 m (/.f64 v (*.f64 m (neg.f64 m))))) |
(-.f64 (*.f64 m (/.f64 m v)) m) |
(if (<=.f64 v 1543285659117307/4671939192445127903888559724237098316690665991422525368913093138328857771221685643782054718788988313373329725003360673086145233634688448510210725191395547328770042546544911308884863172860522266624) (/.f64 m (+.f64 v (/.f64 v m))) (if (<=.f64 v 3139832208234623/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928) (neg.f64 m) (if (<=.f64 v 258916561522976832/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) (/.f64 (*.f64 m m) v) (neg.f64 m)))) |
(if (<=.f64 v 1543285659117307/4671939192445127903888559724237098316690665991422525368913093138328857771221685643782054718788988313373329725003360673086145233634688448510210725191395547328770042546544911308884863172860522266624) (/.f64 m (+.f64 v (/.f64 v m))) (if (<=.f64 v 3139832208234623/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928) (neg.f64 m) (if (<=.f64 v 4045571273796513/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104) (/.f64 (*.f64 m m) v) (neg.f64 m)))) |
(if (<=.f64 v 1543285659117307/4671939192445127903888559724237098316690665991422525368913093138328857771221685643782054718788988313373329725003360673086145233634688448510210725191395547328770042546544911308884863172860522266624) (*.f64 m (/.f64 m v)) (if (<=.f64 v 3139832208234623/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928) (neg.f64 m) (if (<=.f64 v 258916561522976832/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) (/.f64 (*.f64 m m) v) (neg.f64 m)))) |
(if (<=.f64 v 1543285659117307/4671939192445127903888559724237098316690665991422525368913093138328857771221685643782054718788988313373329725003360673086145233634688448510210725191395547328770042546544911308884863172860522266624) (*.f64 m (/.f64 m v)) (if (<=.f64 v 3139832208234623/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928) (neg.f64 m) (if (<=.f64 v 4045571273796513/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104) (/.f64 (*.f64 m m) v) (neg.f64 m)))) |
(if (<=.f64 v 1543285659117307/4671939192445127903888559724237098316690665991422525368913093138328857771221685643782054718788988313373329725003360673086145233634688448510210725191395547328770042546544911308884863172860522266624) (/.f64 m (/.f64 v m)) (if (<=.f64 v 3139832208234623/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928) (neg.f64 m) (if (<=.f64 v 258916561522976832/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) (/.f64 (*.f64 m m) v) (neg.f64 m)))) |
(if (<=.f64 v 1543285659117307/4671939192445127903888559724237098316690665991422525368913093138328857771221685643782054718788988313373329725003360673086145233634688448510210725191395547328770042546544911308884863172860522266624) (/.f64 m (/.f64 v m)) (if (<=.f64 v 3139832208234623/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928) (neg.f64 m) (if (<=.f64 v 4045571273796513/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104) (/.f64 (*.f64 m m) v) (neg.f64 m)))) |
(if (<=.f64 m 659146598963719/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632) (neg.f64 m) (/.f64 (*.f64 m m) v)) |
(neg.f64 m) |
m |
| 1× | fuel |
Compiled 412 to 210 computations (49% saved)
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