Time bar (total: 4.6s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 23.7% | 76.3% | 0 |
| 0% | 23.7% | 76.3% | 1 |
| 11.9% | 11.9% | 76.3% | 2 |
| 17.8% | 5.9% | 76.3% | 3 |
| 20.8% | 3% | 76.3% | 4 |
| 22.2% | 1.5% | 76.3% | 5 |
| 23% | 0.7% | 76.3% | 6 |
| 23.3% | 0.4% | 76.3% | 7 |
| 23.3% | 0.4% | 76.3% | 8 |
| 23.4% | 0.3% | 76.3% | 9 |
| 23.5% | 0.2% | 76.3% | 10 |
| 23.5% | 0.2% | 76.3% | 11 |
| 23.5% | 0.2% | 76.3% | 12 |
Compiled 19 to 14 computations (26.3% saved)
| 2.3s | 4341× | body | 1024 | valid |
| 690.0ms | 2166× | body | 512 | valid |
| 354.0ms | 470× | body | 2048 | valid |
| 220.0ms | 1279× | body | 256 | valid |
| 2× | egg-herbie |
| 898× | fma-def_binary64 |
| 818× | fma-neg_binary64 |
| 795× | associate--l+_binary64 |
| 721× | associate--r+_binary64 |
| 439× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 26 | 18 |
| 2 | 62 | 18 |
| 3 | 150 | 18 |
| 4 | 346 | 17 |
| 5 | 685 | 17 |
| 6 | 1184 | 17 |
| 7 | 2063 | 17 |
| 8 | 2730 | 17 |
| 9 | 3157 | 17 |
| 10 | 5127 | 17 |
| 11 | 5798 | 17 |
| 12 | 6082 | 17 |
| 13 | 6108 | 17 |
| 14 | 6116 | 17 |
| 15 | 6116 | 17 |
| 16 | 6334 | 17 |
| 17 | 6590 | 17 |
| 18 | 6606 | 17 |
| 19 | 6612 | 17 |
| 20 | 6618 | 17 |
| 21 | 6618 | 17 |
| 22 | 6618 | 17 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1) |
| Outputs |
|---|
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1) |
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 n (log.f64 n)) 1)) |
(-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) |
(-.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1) (*.f64 n (log.f64 n))) |
(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 (log1p.f64 n) -1)) |
(-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) |
Compiled 17 to 13 computations (23.5% saved)
| 1× | egg-herbie |
| 898× | fma-def_binary64 |
| 818× | fma-neg_binary64 |
| 795× | associate--l+_binary64 |
| 721× | associate--r+_binary64 |
| 439× | distribute-rgt-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 26 | 18 |
| 2 | 62 | 18 |
| 3 | 150 | 18 |
| 4 | 346 | 17 |
| 5 | 685 | 17 |
| 6 | 1184 | 17 |
| 7 | 2063 | 17 |
| 8 | 2730 | 17 |
| 9 | 3157 | 17 |
| 10 | 5127 | 17 |
| 11 | 5798 | 17 |
| 12 | 6082 | 17 |
| 13 | 6108 | 17 |
| 14 | 6116 | 17 |
| 15 | 6116 | 17 |
| 16 | 6334 | 17 |
| 17 | 6590 | 17 |
| 18 | 6606 | 17 |
| 19 | 6612 | 17 |
| 20 | 6618 | 17 |
| 21 | 6618 | 17 |
| 22 | 6618 | 17 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1) |
| Outputs |
|---|
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1) |
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 n (log.f64 n)) 1)) |
(-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) |
(-.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) -1) (*.f64 n (log.f64 n))) |
(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 (log1p.f64 n) -1)) |
(-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) |
Compiled 27 to 17 computations (37% 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 |
|---|---|---|
| ▶ | 44.3b | (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) |
| ▶ | 63.0b | (-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1) |
Compiled 28 to 19 computations (32.1% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 7.0b | (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) | |
| 0.3b | (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) | |
| 0.3b | (*.f64 n (log.f64 n)) | |
| ✓ | 0.3b | (*.f64 n (log.f64 n)) |
| ✓ | 0.3b | (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) |
| ✓ | 7.0b | (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) |
Compiled 52 to 31 computations (40.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | n | @ | 0 | (*.f64 n (log.f64 n)) |
| 12.0ms | n | @ | -inf | (*.f64 n (log.f64 n)) |
| 10.0ms | n | @ | inf | (*.f64 n (log.f64 n)) |
| 1.0ms | n | @ | -inf | (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) |
| 1.0ms | n | @ | 0 | (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) |
| 1× | batch-egg-rewrite |
| 485× | fma-def_binary64 |
| 483× | log-prod_binary64 |
| 353× | pow-prod-down_binary64 |
| 349× | exp-prod_binary64 |
| 246× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 38 |
| 1 | 199 | 32 |
| 2 | 2721 | 32 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) |
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) |
(*.f64 n (log.f64 n)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 (log.f64 n) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 (*.f64 (log.f64 n) (neg.f64 n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (neg.f64 (log.f64 n)) (fma.f64 n (neg.f64 (log.f64 n)) (*.f64 n (log.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) (*.f64 (log.f64 n) (neg.f64 n))) (fma.f64 n (neg.f64 (log.f64 n)) (*.f64 n (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) (*.f64 (log.f64 n) (neg.f64 n))) (fma.f64 (*.f64 (log.f64 n) (neg.f64 n)) 1 (*.f64 n (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) (*.f64 (log.f64 n) (neg.f64 n))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 n (log.f64 n)))) (pow.f64 (cbrt.f64 (*.f64 n (log.f64 n))) 2) (*.f64 n 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(+.f64 n 1)) (*.f64 (log.f64 n) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log1p.f64 n) (sqrt.f64 (+.f64 n 1))) (sqrt.f64 (+.f64 n 1)) (*.f64 (*.f64 (log.f64 n) (neg.f64 n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log1p.f64 n) (sqrt.f64 (+.f64 n 1))) (sqrt.f64 (+.f64 n 1)) (fma.f64 n (neg.f64 (log.f64 n)) (fma.f64 n (neg.f64 (log.f64 n)) (*.f64 n (log.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log1p.f64 n) (sqrt.f64 (+.f64 n 1))) (sqrt.f64 (+.f64 n 1)) (neg.f64 (-.f64 (*.f64 n (log.f64 n)) (fma.f64 n (neg.f64 (log.f64 n)) (*.f64 n (log.f64 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 n 1) (log1p.f64 n) (*.f64 (log.f64 n) (neg.f64 n))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 n) (*.f64 n (log1p.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 n) (*.f64 (log1p.f64 n) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 n 1) (log1p.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n (log1p.f64 n)) (log1p.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log1p.f64 n) n) (log1p.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1)))) (log.f64 (sqrt.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 n 3)) (log1p.f64 n)) (-.f64 (fma.f64 n n 1) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 n n -1) (log1p.f64 n)) (+.f64 n -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log1p.f64 n) (+.f64 1 (pow.f64 n 3))) (-.f64 (fma.f64 n n 1) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log1p.f64 n) (fma.f64 n n -1)) (+.f64 n -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n)))) 2)) (cbrt.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n))))) (sqrt.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 n (log1p.f64 n) (log1p.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 n) (*.f64 n (log1p.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 n) (*.f64 (log1p.f64 n) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 n) n (log1p.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 n) 1 (*.f64 n (log1p.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 n) 1 (*.f64 (log1p.f64 n) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log1p.f64 n)) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (*.f64 n (log1p.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log1p.f64 n)) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (*.f64 (log1p.f64 n) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (cbrt.f64 (log1p.f64 n)) (*.f64 n (log1p.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (cbrt.f64 (log1p.f64 n)) (*.f64 (log1p.f64 n) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log1p.f64 n)) (*.f64 n (log1p.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log1p.f64 n)) (*.f64 (log1p.f64 n) n))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 n (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 n n)) 2)) (log.f64 (cbrt.f64 (pow.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 n n))) (log.f64 (sqrt.f64 (pow.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 n (log.f64 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n (log.f64 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 n (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 n (log.f64 n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 n (log.f64 n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n (log.f64 n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 n (log.f64 n)))) 2)) (cbrt.f64 (log.f64 (*.f64 n (log.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 n (log.f64 n))))) (sqrt.f64 (log.f64 (*.f64 n (log.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 n (log.f64 n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 n n))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 n n) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 n (log.f64 n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 n n) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 n (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 n (log.f64 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 n (log.f64 n)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 n (log.f64 n)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 n (log.f64 n)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 n (log.f64 n))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 n (log.f64 n))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 n (log.f64 n)))))))) |
| 1× | egg-herbie |
| 568× | associate--l+_binary64 |
| 427× | associate-+l+_binary64 |
| 393× | fma-def_binary64 |
| 364× | times-frac_binary64 |
| 349× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 568 |
| 1 | 256 | 450 |
| 2 | 777 | 433 |
| 3 | 2880 | 419 |
| 4 | 6755 | 419 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 n (-.f64 1 (log.f64 n))) |
(+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (*.f64 1/2 (pow.f64 n 2))) |
(+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (+.f64 (*.f64 -1/6 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 2)))) |
(+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (+.f64 (*.f64 -1/6 (pow.f64 n 3)) (+.f64 (*.f64 1/12 (pow.f64 n 4)) (*.f64 1/2 (pow.f64 n 2))))) |
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n)))) |
(+.f64 (*.f64 1/2 (/.f64 1 n)) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n)))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) |
(+.f64 (*.f64 1/2 (/.f64 1 n)) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))) |
(-.f64 (+.f64 1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 1/2 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
n |
(+.f64 n (*.f64 1/2 (pow.f64 n 2))) |
(+.f64 (*.f64 -1/6 (pow.f64 n 3)) (+.f64 n (*.f64 1/2 (pow.f64 n 2)))) |
(+.f64 (*.f64 -1/6 (pow.f64 n 3)) (+.f64 n (+.f64 (*.f64 1/12 (pow.f64 n 4)) (*.f64 1/2 (pow.f64 n 2))))) |
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n)))) |
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n)))))) |
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) |
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (log.f64 -1) (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))))) |
(+.f64 1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) (*.f64 1/2 (/.f64 1 n)))))) |
(-.f64 (+.f64 1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n)))) |
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n)))) |
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n)))) |
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n)))) |
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) |
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) |
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) |
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) |
| Outputs |
|---|
(*.f64 n (-.f64 1 (log.f64 n))) |
(-.f64 n (*.f64 n (log.f64 n))) |
(+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (*.f64 1/2 (pow.f64 n 2))) |
(fma.f64 n (-.f64 1 (log.f64 n)) (*.f64 1/2 (*.f64 n n))) |
(fma.f64 n (-.f64 1 (log.f64 n)) (*.f64 n (*.f64 n 1/2))) |
(*.f64 n (+.f64 (-.f64 1 (log.f64 n)) (*.f64 n 1/2))) |
(+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (+.f64 (*.f64 -1/6 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 2)))) |
(fma.f64 n (-.f64 1 (log.f64 n)) (fma.f64 -1/6 (pow.f64 n 3) (*.f64 1/2 (*.f64 n n)))) |
(fma.f64 n (-.f64 1 (log.f64 n)) (fma.f64 1/2 (*.f64 n n) (*.f64 -1/6 (pow.f64 n 3)))) |
(fma.f64 n (-.f64 1 (log.f64 n)) (*.f64 (*.f64 n n) (+.f64 1/2 (*.f64 n -1/6)))) |
(*.f64 n (+.f64 (-.f64 1 (log.f64 n)) (*.f64 n (+.f64 (*.f64 n -1/6) 1/2)))) |
(+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (+.f64 (*.f64 -1/6 (pow.f64 n 3)) (+.f64 (*.f64 1/12 (pow.f64 n 4)) (*.f64 1/2 (pow.f64 n 2))))) |
(fma.f64 n (-.f64 1 (log.f64 n)) (fma.f64 -1/6 (pow.f64 n 3) (fma.f64 1/12 (pow.f64 n 4) (*.f64 1/2 (*.f64 n n))))) |
(fma.f64 n (-.f64 1 (log.f64 n)) (fma.f64 -1/6 (pow.f64 n 3) (fma.f64 1/2 (*.f64 n n) (*.f64 1/12 (pow.f64 n 4))))) |
(fma.f64 n (-.f64 1 (log.f64 n)) (fma.f64 1/12 (pow.f64 n 4) (*.f64 (*.f64 n n) (+.f64 1/2 (*.f64 n -1/6))))) |
(fma.f64 n (-.f64 1 (log.f64 n)) (*.f64 (*.f64 n n) (+.f64 1/2 (*.f64 n (+.f64 (*.f64 n 1/12) -1/6))))) |
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n)))) |
(+.f64 1 (neg.f64 (neg.f64 (log.f64 n)))) |
(+.f64 1 (log.f64 n)) |
(+.f64 (*.f64 1/2 (/.f64 1 n)) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n))))) |
(+.f64 (+.f64 1 (neg.f64 (neg.f64 (log.f64 n)))) (/.f64 1/2 n)) |
(+.f64 1 (+.f64 (log.f64 n) (/.f64 1/2 n))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(+.f64 1 (-.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 1/2 n)) (/.f64 1/6 (*.f64 n n)))) |
(+.f64 (+.f64 (log.f64 n) (/.f64 1/2 n)) (-.f64 1 (/.f64 1/6 (*.f64 n n)))) |
(+.f64 1 (+.f64 (/.f64 1/2 n) (+.f64 (log.f64 n) (/.f64 -1/6 (*.f64 n n))))) |
(+.f64 (log.f64 n) (+.f64 (/.f64 1/2 n) (+.f64 1 (/.f64 -1/6 (*.f64 n n))))) |
(+.f64 1 (-.f64 (/.f64 1/2 n) (-.f64 (/.f64 1/6 (*.f64 n n)) (log.f64 n)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n)))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(+.f64 1 (-.f64 (+.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 1/2 n)) (/.f64 1/12 (pow.f64 n 3))) (/.f64 1/6 (*.f64 n n)))) |
(+.f64 (+.f64 (log.f64 n) (+.f64 (/.f64 1/2 n) (/.f64 1/12 (pow.f64 n 3)))) (-.f64 1 (/.f64 1/6 (*.f64 n n)))) |
(+.f64 1 (+.f64 (/.f64 1/2 n) (+.f64 (+.f64 (log.f64 n) (/.f64 1/12 (pow.f64 n 3))) (/.f64 -1/6 (*.f64 n n))))) |
(+.f64 (+.f64 (log.f64 n) (/.f64 1/12 (pow.f64 n 3))) (+.f64 (/.f64 1/2 n) (+.f64 1 (/.f64 -1/6 (*.f64 n n))))) |
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) |
(+.f64 1 (neg.f64 (neg.f64 (log.f64 n)))) |
(+.f64 1 (log.f64 n)) |
(+.f64 (*.f64 1/2 (/.f64 1 n)) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))) |
(+.f64 (+.f64 1 (neg.f64 (neg.f64 (log.f64 n)))) (/.f64 1/2 n)) |
(+.f64 1 (+.f64 (log.f64 n) (/.f64 1/2 n))) |
(-.f64 (+.f64 1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 1/2 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(+.f64 1 (-.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 1/2 n)) (/.f64 1/6 (*.f64 n n)))) |
(+.f64 (+.f64 (log.f64 n) (/.f64 1/2 n)) (-.f64 1 (/.f64 1/6 (*.f64 n n)))) |
(+.f64 1 (+.f64 (/.f64 1/2 n) (+.f64 (log.f64 n) (/.f64 -1/6 (*.f64 n n))))) |
(+.f64 (log.f64 n) (+.f64 (/.f64 1/2 n) (+.f64 1 (/.f64 -1/6 (*.f64 n n))))) |
(+.f64 1 (-.f64 (/.f64 1/2 n) (-.f64 (/.f64 1/6 (*.f64 n n)) (log.f64 n)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(+.f64 1 (-.f64 (+.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 1/2 n)) (/.f64 1/12 (pow.f64 n 3))) (/.f64 1/6 (*.f64 n n)))) |
(+.f64 (+.f64 (log.f64 n) (+.f64 (/.f64 1/2 n) (/.f64 1/12 (pow.f64 n 3)))) (-.f64 1 (/.f64 1/6 (*.f64 n n)))) |
(+.f64 1 (+.f64 (/.f64 1/2 n) (+.f64 (+.f64 (log.f64 n) (/.f64 1/12 (pow.f64 n 3))) (/.f64 -1/6 (*.f64 n n))))) |
(+.f64 (+.f64 (log.f64 n) (/.f64 1/12 (pow.f64 n 3))) (+.f64 (/.f64 1/2 n) (+.f64 1 (/.f64 -1/6 (*.f64 n n))))) |
n |
(+.f64 n (*.f64 1/2 (pow.f64 n 2))) |
(+.f64 n (*.f64 1/2 (*.f64 n n))) |
(fma.f64 1/2 (*.f64 n n) n) |
(fma.f64 n (*.f64 n 1/2) n) |
(+.f64 (*.f64 -1/6 (pow.f64 n 3)) (+.f64 n (*.f64 1/2 (pow.f64 n 2)))) |
(fma.f64 -1/6 (pow.f64 n 3) (+.f64 n (*.f64 1/2 (*.f64 n n)))) |
(fma.f64 -1/6 (pow.f64 n 3) (fma.f64 1/2 (*.f64 n n) n)) |
(fma.f64 n (*.f64 n 1/2) (fma.f64 -1/6 (pow.f64 n 3) n)) |
(fma.f64 1/2 (*.f64 n n) (fma.f64 -1/6 (pow.f64 n 3) n)) |
(+.f64 (*.f64 -1/6 (pow.f64 n 3)) (+.f64 n (+.f64 (*.f64 1/12 (pow.f64 n 4)) (*.f64 1/2 (pow.f64 n 2))))) |
(fma.f64 -1/6 (pow.f64 n 3) (+.f64 n (fma.f64 1/12 (pow.f64 n 4) (*.f64 1/2 (*.f64 n n))))) |
(+.f64 (fma.f64 -1/6 (pow.f64 n 3) (fma.f64 1/2 (*.f64 n n) n)) (*.f64 1/12 (pow.f64 n 4))) |
(fma.f64 -1/6 (pow.f64 n 3) (fma.f64 1/12 (pow.f64 n 4) (fma.f64 n (*.f64 n 1/2) n))) |
(+.f64 n (*.f64 (*.f64 n n) (+.f64 1/2 (*.f64 n (+.f64 (*.f64 n 1/12) -1/6))))) |
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n)))) |
(neg.f64 (*.f64 n (neg.f64 (log.f64 n)))) |
(*.f64 n (log.f64 n)) |
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n)))))) |
(+.f64 1 (*.f64 -1 (+.f64 (neg.f64 (log.f64 n)) (*.f64 n (neg.f64 (log.f64 n)))))) |
(+.f64 1 (+.f64 (log.f64 n) (*.f64 n (log.f64 n)))) |
(+.f64 1 (*.f64 (log.f64 n) (-.f64 n -1))) |
(fma.f64 (+.f64 n 1) (log.f64 n) 1) |
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))))) |
(+.f64 1 (fma.f64 -1 (neg.f64 (log.f64 n)) (+.f64 (/.f64 1/2 n) (neg.f64 (*.f64 n (neg.f64 (log.f64 n))))))) |
(+.f64 1 (+.f64 (log.f64 n) (+.f64 (/.f64 1/2 n) (*.f64 n (log.f64 n))))) |
(+.f64 1 (-.f64 (/.f64 1/2 n) (*.f64 (-.f64 -1 n) (log.f64 n)))) |
(+.f64 1 (fma.f64 (+.f64 n 1) (log.f64 n) (/.f64 1/2 n))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(+.f64 1 (-.f64 (fma.f64 -1 (neg.f64 (log.f64 n)) (+.f64 (/.f64 1/2 n) (neg.f64 (*.f64 n (neg.f64 (log.f64 n)))))) (/.f64 1/6 (*.f64 n n)))) |
(+.f64 (+.f64 1 (log.f64 n)) (+.f64 (+.f64 (/.f64 1/2 n) (*.f64 n (log.f64 n))) (/.f64 -1/6 (*.f64 n n)))) |
(+.f64 1 (+.f64 (/.f64 1/2 n) (+.f64 (log.f64 n) (fma.f64 n (log.f64 n) (/.f64 -1/6 (*.f64 n n)))))) |
(+.f64 (/.f64 1/2 n) (-.f64 (fma.f64 (+.f64 n 1) (log.f64 n) 1) (/.f64 1/6 (*.f64 n n)))) |
(*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) |
(neg.f64 (*.f64 n (neg.f64 (log.f64 n)))) |
(*.f64 n (log.f64 n)) |
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (log.f64 -1) (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))))) |
(+.f64 1 (*.f64 -1 (+.f64 (neg.f64 (log.f64 n)) (*.f64 n (neg.f64 (log.f64 n)))))) |
(+.f64 1 (+.f64 (log.f64 n) (*.f64 n (log.f64 n)))) |
(+.f64 1 (*.f64 (log.f64 n) (-.f64 n -1))) |
(fma.f64 (+.f64 n 1) (log.f64 n) 1) |
(+.f64 1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) (*.f64 1/2 (/.f64 1 n)))))) |
(+.f64 1 (fma.f64 -1 (neg.f64 (log.f64 n)) (+.f64 (/.f64 1/2 n) (neg.f64 (*.f64 n (neg.f64 (log.f64 n))))))) |
(+.f64 1 (+.f64 (log.f64 n) (+.f64 (/.f64 1/2 n) (*.f64 n (log.f64 n))))) |
(+.f64 1 (-.f64 (/.f64 1/2 n) (*.f64 (-.f64 -1 n) (log.f64 n)))) |
(+.f64 1 (fma.f64 (+.f64 n 1) (log.f64 n) (/.f64 1/2 n))) |
(-.f64 (+.f64 1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(+.f64 1 (-.f64 (fma.f64 -1 (neg.f64 (log.f64 n)) (+.f64 (/.f64 1/2 n) (neg.f64 (*.f64 n (neg.f64 (log.f64 n)))))) (/.f64 1/6 (*.f64 n n)))) |
(+.f64 (+.f64 1 (log.f64 n)) (+.f64 (+.f64 (/.f64 1/2 n) (*.f64 n (log.f64 n))) (/.f64 -1/6 (*.f64 n n)))) |
(+.f64 1 (+.f64 (/.f64 1/2 n) (+.f64 (log.f64 n) (fma.f64 n (log.f64 n) (/.f64 -1/6 (*.f64 n n)))))) |
(+.f64 (/.f64 1/2 n) (-.f64 (fma.f64 (+.f64 n 1) (log.f64 n) 1) (/.f64 1/6 (*.f64 n n)))) |
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n)))) |
(neg.f64 (*.f64 n (neg.f64 (log.f64 n)))) |
(*.f64 n (log.f64 n)) |
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n)))) |
(neg.f64 (*.f64 n (neg.f64 (log.f64 n)))) |
(*.f64 n (log.f64 n)) |
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n)))) |
(neg.f64 (*.f64 n (neg.f64 (log.f64 n)))) |
(*.f64 n (log.f64 n)) |
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n)))) |
(neg.f64 (*.f64 n (neg.f64 (log.f64 n)))) |
(*.f64 n (log.f64 n)) |
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) |
(neg.f64 (*.f64 n (neg.f64 (log.f64 n)))) |
(*.f64 n (log.f64 n)) |
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) |
(neg.f64 (*.f64 n (neg.f64 (log.f64 n)))) |
(*.f64 n (log.f64 n)) |
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) |
(neg.f64 (*.f64 n (neg.f64 (log.f64 n)))) |
(*.f64 n (log.f64 n)) |
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) |
(neg.f64 (*.f64 n (neg.f64 (log.f64 n)))) |
(*.f64 n (log.f64 n)) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 6.5b | (-.f64 (log.f64 n) (log1p.f64 n)) | |
| 1.2b | (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) | |
| 0.0b | (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) | |
| ✓ | 0.0b | (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) |
| ✓ | 1.2b | (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) |
| ✓ | 6.5b | (-.f64 (log.f64 n) (log1p.f64 n)) |
Compiled 31 to 10 computations (67.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | n | @ | inf | (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) |
| 0.0ms | n | @ | 0 | (-.f64 (log.f64 n) (log1p.f64 n)) |
| 0.0ms | n | @ | inf | (-.f64 (log.f64 n) (log1p.f64 n)) |
| 0.0ms | n | @ | -inf | (-.f64 (log.f64 n) (log1p.f64 n)) |
| 0.0ms | n | @ | -inf | (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) |
| 1× | batch-egg-rewrite |
| 984× | pow1_binary64 |
| 915× | add-log-exp_binary64 |
| 915× | expm1-log1p-u_binary64 |
| 914× | log1p-expm1-u_binary64 |
| 89× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 37 |
| 1 | 170 | 37 |
| 2 | 2379 | 37 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log.f64 n) (log1p.f64 n)) |
(fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) |
(-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 682× | sub-neg_binary64 |
| 347× | fma-def_binary64 |
| 341× | associate-+l+_binary64 |
| 338× | distribute-neg-frac_binary64 |
| 337× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 570 |
| 1 | 257 | 535 |
| 2 | 695 | 527 |
| 3 | 2157 | 524 |
| 4 | 6719 | 524 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 n) |
(+.f64 (*.f64 -1 n) (log.f64 n)) |
(+.f64 (*.f64 -1 n) (+.f64 (*.f64 1/2 (pow.f64 n 2)) (log.f64 n))) |
(+.f64 (*.f64 -1 n) (+.f64 (*.f64 1/2 (pow.f64 n 2)) (+.f64 (log.f64 n) (*.f64 -1/3 (pow.f64 n 3))))) |
(/.f64 -1 n) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n)) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3))))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 4))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3))))) |
(/.f64 -1 n) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n)) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3))))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 4))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3))))) |
1 |
(+.f64 1 (*.f64 n (log.f64 n))) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 n 2)) (*.f64 n (log.f64 n)))) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 n 2)) (+.f64 (*.f64 n (log.f64 n)) (*.f64 1/2 (pow.f64 n 3))))) |
(/.f64 1/2 n) |
(-.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/3 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))) (*.f64 1/3 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (*.f64 1/5 (/.f64 1 (pow.f64 n 4))))) |
(/.f64 1/2 n) |
(-.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/3 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))) (*.f64 1/3 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (*.f64 1/5 (/.f64 1 (pow.f64 n 4))))) |
-1 |
(-.f64 (*.f64 n (-.f64 1 (log.f64 n))) 1) |
(-.f64 (+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (*.f64 1/2 (pow.f64 n 2))) 1) |
(-.f64 (+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (+.f64 (*.f64 -1/6 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 2)))) 1) |
(*.f64 -1 (log.f64 (/.f64 1 n))) |
(+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n)))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)) |
(+.f64 (*.f64 1/2 (/.f64 1 n)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) |
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 1/2 (/.f64 1 n)))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 1/2 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
| Outputs |
|---|
(log.f64 n) |
(+.f64 (*.f64 -1 n) (log.f64 n)) |
(fma.f64 -1 n (log.f64 n)) |
(-.f64 (log.f64 n) n) |
(+.f64 (*.f64 -1 n) (+.f64 (*.f64 1/2 (pow.f64 n 2)) (log.f64 n))) |
(fma.f64 -1 n (fma.f64 1/2 (*.f64 n n) (log.f64 n))) |
(-.f64 (fma.f64 1/2 (*.f64 n n) (log.f64 n)) n) |
(-.f64 (fma.f64 n (*.f64 n 1/2) (log.f64 n)) n) |
(+.f64 (*.f64 -1 n) (+.f64 (*.f64 1/2 (pow.f64 n 2)) (+.f64 (log.f64 n) (*.f64 -1/3 (pow.f64 n 3))))) |
(fma.f64 -1 n (+.f64 (fma.f64 1/2 (*.f64 n n) (log.f64 n)) (*.f64 -1/3 (pow.f64 n 3)))) |
(-.f64 (fma.f64 1/2 (*.f64 n n) (fma.f64 -1/3 (pow.f64 n 3) (log.f64 n))) n) |
(fma.f64 n (*.f64 n 1/2) (-.f64 (fma.f64 -1/3 (pow.f64 n 3) (log.f64 n)) n)) |
(-.f64 (fma.f64 (*.f64 n n) (+.f64 1/2 (*.f64 n -1/3)) (log.f64 n)) n) |
(/.f64 -1 n) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n)) |
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1 n)) |
(+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1 n)) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3))))) |
(-.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 1 n) (/.f64 1/3 (pow.f64 n 3)))) |
(+.f64 (/.f64 1/2 (*.f64 n n)) (-.f64 (/.f64 -1 n) (/.f64 1/3 (pow.f64 n 3)))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 4))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3))))) |
(+.f64 (/.f64 1/4 (pow.f64 n 4)) (-.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 1 n) (/.f64 1/3 (pow.f64 n 3))))) |
(+.f64 (/.f64 1/2 (*.f64 n n)) (-.f64 (/.f64 1/4 (pow.f64 n 4)) (+.f64 (/.f64 1 n) (/.f64 1/3 (pow.f64 n 3))))) |
(+.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 1/4 (pow.f64 n 4)) (-.f64 (/.f64 -1 n) (/.f64 1/3 (pow.f64 n 3))))) |
(+.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/4 (pow.f64 n 4))) (-.f64 (/.f64 -1 n) (/.f64 1/3 (pow.f64 n 3)))) |
(/.f64 -1 n) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n)) |
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1 n)) |
(+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1 n)) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3))))) |
(-.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 1 n) (/.f64 1/3 (pow.f64 n 3)))) |
(+.f64 (/.f64 1/2 (*.f64 n n)) (-.f64 (/.f64 -1 n) (/.f64 1/3 (pow.f64 n 3)))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 4))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3))))) |
(+.f64 (/.f64 1/4 (pow.f64 n 4)) (-.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 1 n) (/.f64 1/3 (pow.f64 n 3))))) |
(+.f64 (/.f64 1/2 (*.f64 n n)) (-.f64 (/.f64 1/4 (pow.f64 n 4)) (+.f64 (/.f64 1 n) (/.f64 1/3 (pow.f64 n 3))))) |
(+.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 1/4 (pow.f64 n 4)) (-.f64 (/.f64 -1 n) (/.f64 1/3 (pow.f64 n 3))))) |
(+.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/4 (pow.f64 n 4))) (-.f64 (/.f64 -1 n) (/.f64 1/3 (pow.f64 n 3)))) |
1 |
(+.f64 1 (*.f64 n (log.f64 n))) |
(fma.f64 n (log.f64 n) 1) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 n 2)) (*.f64 n (log.f64 n)))) |
(+.f64 1 (fma.f64 -1 (*.f64 n n) (*.f64 n (log.f64 n)))) |
(+.f64 1 (fma.f64 n (log.f64 n) (neg.f64 (*.f64 n n)))) |
(+.f64 1 (*.f64 n (-.f64 (log.f64 n) n))) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 n 2)) (+.f64 (*.f64 n (log.f64 n)) (*.f64 1/2 (pow.f64 n 3))))) |
(+.f64 1 (fma.f64 -1 (*.f64 n n) (fma.f64 n (log.f64 n) (*.f64 1/2 (pow.f64 n 3))))) |
(+.f64 1 (-.f64 (fma.f64 n (log.f64 n) (*.f64 1/2 (pow.f64 n 3))) (*.f64 n n))) |
(+.f64 (*.f64 n (-.f64 (log.f64 n) n)) (fma.f64 1/2 (pow.f64 n 3) 1)) |
(+.f64 1 (*.f64 n (-.f64 (fma.f64 n (*.f64 n 1/2) (log.f64 n)) n))) |
(/.f64 1/2 n) |
(-.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/3 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (/.f64 1/2 n) (/.f64 1/3 (*.f64 n n))) |
(+.f64 (/.f64 1/2 n) (/.f64 -1/3 (*.f64 n n))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))) (*.f64 1/3 (/.f64 1 (pow.f64 n 2)))) |
(+.f64 (/.f64 1/4 (pow.f64 n 3)) (-.f64 (/.f64 1/2 n) (/.f64 1/3 (*.f64 n n)))) |
(+.f64 (/.f64 1/4 (pow.f64 n 3)) (+.f64 (/.f64 1/2 n) (/.f64 -1/3 (*.f64 n n)))) |
(+.f64 (/.f64 1/2 n) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 -1/3 (*.f64 n n)))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (*.f64 1/5 (/.f64 1 (pow.f64 n 4))))) |
(-.f64 (+.f64 (/.f64 1/4 (pow.f64 n 3)) (-.f64 (/.f64 1/2 n) (/.f64 1/3 (*.f64 n n)))) (/.f64 1/5 (pow.f64 n 4))) |
(+.f64 (/.f64 1/2 n) (-.f64 (/.f64 1/4 (pow.f64 n 3)) (+.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/5 (pow.f64 n 4))))) |
(+.f64 (/.f64 1/2 n) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 -1/5 (pow.f64 n 4))) (/.f64 -1/3 (*.f64 n n)))) |
(+.f64 (/.f64 1/2 n) (-.f64 (/.f64 -1/3 (*.f64 n n)) (-.f64 (/.f64 1/5 (pow.f64 n 4)) (/.f64 1/4 (pow.f64 n 3))))) |
(+.f64 (/.f64 1/2 n) (-.f64 (/.f64 -1/3 (*.f64 n n)) (+.f64 (/.f64 1/5 (pow.f64 n 4)) (/.f64 -1/4 (pow.f64 n 3))))) |
(/.f64 1/2 n) |
(-.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/3 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (/.f64 1/2 n) (/.f64 1/3 (*.f64 n n))) |
(+.f64 (/.f64 1/2 n) (/.f64 -1/3 (*.f64 n n))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))) (*.f64 1/3 (/.f64 1 (pow.f64 n 2)))) |
(+.f64 (/.f64 1/4 (pow.f64 n 3)) (-.f64 (/.f64 1/2 n) (/.f64 1/3 (*.f64 n n)))) |
(+.f64 (/.f64 1/4 (pow.f64 n 3)) (+.f64 (/.f64 1/2 n) (/.f64 -1/3 (*.f64 n n)))) |
(+.f64 (/.f64 1/2 n) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 -1/3 (*.f64 n n)))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (*.f64 1/5 (/.f64 1 (pow.f64 n 4))))) |
(-.f64 (+.f64 (/.f64 1/4 (pow.f64 n 3)) (-.f64 (/.f64 1/2 n) (/.f64 1/3 (*.f64 n n)))) (/.f64 1/5 (pow.f64 n 4))) |
(+.f64 (/.f64 1/2 n) (-.f64 (/.f64 1/4 (pow.f64 n 3)) (+.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/5 (pow.f64 n 4))))) |
(+.f64 (/.f64 1/2 n) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 -1/5 (pow.f64 n 4))) (/.f64 -1/3 (*.f64 n n)))) |
(+.f64 (/.f64 1/2 n) (-.f64 (/.f64 -1/3 (*.f64 n n)) (-.f64 (/.f64 1/5 (pow.f64 n 4)) (/.f64 1/4 (pow.f64 n 3))))) |
(+.f64 (/.f64 1/2 n) (-.f64 (/.f64 -1/3 (*.f64 n n)) (+.f64 (/.f64 1/5 (pow.f64 n 4)) (/.f64 -1/4 (pow.f64 n 3))))) |
-1 |
(-.f64 (*.f64 n (-.f64 1 (log.f64 n))) 1) |
(fma.f64 n (-.f64 1 (log.f64 n)) -1) |
(-.f64 (+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (*.f64 1/2 (pow.f64 n 2))) 1) |
(+.f64 (fma.f64 n (-.f64 1 (log.f64 n)) (*.f64 1/2 (*.f64 n n))) -1) |
(fma.f64 n (-.f64 1 (log.f64 n)) (fma.f64 1/2 (*.f64 n n) -1)) |
(fma.f64 n (-.f64 1 (log.f64 n)) (fma.f64 n (*.f64 n 1/2) -1)) |
(fma.f64 n (+.f64 (-.f64 1 (log.f64 n)) (*.f64 n 1/2)) -1) |
(-.f64 (+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (+.f64 (*.f64 -1/6 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 2)))) 1) |
(+.f64 (fma.f64 n (-.f64 1 (log.f64 n)) (fma.f64 -1/6 (pow.f64 n 3) (*.f64 1/2 (*.f64 n n)))) -1) |
(+.f64 -1 (fma.f64 n (-.f64 1 (log.f64 n)) (fma.f64 (pow.f64 n 3) -1/6 (*.f64 n (*.f64 n 1/2))))) |
(fma.f64 n (-.f64 1 (log.f64 n)) (fma.f64 n (*.f64 n 1/2) (fma.f64 (pow.f64 n 3) -1/6 -1))) |
(fma.f64 n (-.f64 1 (log.f64 n)) (fma.f64 (*.f64 n n) (+.f64 1/2 (*.f64 n -1/6)) -1)) |
(*.f64 -1 (log.f64 (/.f64 1 n))) |
(log.f64 n) |
(+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n)))) |
(+.f64 (/.f64 1/2 n) (neg.f64 (neg.f64 (log.f64 n)))) |
(+.f64 (log.f64 n) (/.f64 1/2 n)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n)))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(+.f64 (/.f64 1/2 n) (-.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 1/6 (*.f64 n n)))) |
(+.f64 (log.f64 n) (+.f64 (/.f64 1/2 n) (/.f64 -1/6 (*.f64 n n)))) |
(+.f64 (+.f64 (log.f64 n) (/.f64 1/2 n)) (/.f64 -1/6 (*.f64 n n))) |
(-.f64 (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 (+.f64 (/.f64 1/12 (pow.f64 n 3)) (/.f64 1/2 n)) (neg.f64 (neg.f64 (log.f64 n)))) (/.f64 1/6 (*.f64 n n))) |
(+.f64 (+.f64 (log.f64 n) (/.f64 1/2 n)) (-.f64 (/.f64 1/12 (pow.f64 n 3)) (/.f64 1/6 (*.f64 n n)))) |
(+.f64 (log.f64 n) (-.f64 (+.f64 (/.f64 1/2 n) (/.f64 1/12 (pow.f64 n 3))) (/.f64 1/6 (*.f64 n n)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)) |
(log.f64 n) |
(+.f64 (*.f64 1/2 (/.f64 1 n)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) |
(+.f64 (/.f64 1/2 n) (neg.f64 (neg.f64 (log.f64 n)))) |
(+.f64 (log.f64 n) (/.f64 1/2 n)) |
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 1/2 (/.f64 1 n)))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(+.f64 (/.f64 1/2 n) (-.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 1/6 (*.f64 n n)))) |
(+.f64 (log.f64 n) (+.f64 (/.f64 1/2 n) (/.f64 -1/6 (*.f64 n n)))) |
(+.f64 (+.f64 (log.f64 n) (/.f64 1/2 n)) (/.f64 -1/6 (*.f64 n n))) |
(-.f64 (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 1/2 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 (+.f64 (/.f64 1/12 (pow.f64 n 3)) (/.f64 1/2 n)) (neg.f64 (neg.f64 (log.f64 n)))) (/.f64 1/6 (*.f64 n n))) |
(+.f64 (+.f64 (log.f64 n) (/.f64 1/2 n)) (-.f64 (/.f64 1/12 (pow.f64 n 3)) (/.f64 1/6 (*.f64 n n)))) |
(+.f64 (log.f64 n) (-.f64 (+.f64 (/.f64 1/2 n) (/.f64 1/12 (pow.f64 n 3))) (/.f64 1/6 (*.f64 n n)))) |
Compiled 9651 to 4472 computations (53.7% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 425 | 3 | 428 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 427 | 3 | 430 |
| Status | Error | Program |
|---|---|---|
| ▶ | 44.3b | (-.f64 (log1p.f64 n) 1) |
| 63.0b | -1 | |
| ▶ | 0b | (+.f64 (log.f64 n) (/.f64 1/2 n)) |
Compiled 14 to 11 computations (21.4% saved)
Compiled 14 to 8 computations (42.9% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 (log1p.f64 n) 1) | |
| ✓ | 0.0b | (-.f64 (log1p.f64 n) 1) |
Compiled 9 to 5 computations (44.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | n | @ | inf | (-.f64 (log1p.f64 n) 1) |
| 0.0ms | n | @ | 0 | (-.f64 (log1p.f64 n) 1) |
| 0.0ms | n | @ | -inf | (-.f64 (log1p.f64 n) 1) |
| 1× | batch-egg-rewrite |
| 474× | pow1_binary64 |
| 462× | add-sqr-sqrt_binary64 |
| 454× | *-un-lft-identity_binary64 |
| 442× | add-log-exp_binary64 |
| 441× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 6 |
| 1 | 103 | 6 |
| 2 | 1245 | 6 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log1p.f64 n) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 n) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (log1p.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log1p.f64 n) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log1p.f64 n) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (log1p.f64 n) -1)) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 n) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 n) -1)) 2) (cbrt.f64 (+.f64 (log1p.f64 n) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (log1p.f64 n) -1)) (sqrt.f64 (+.f64 (log1p.f64 n) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (log1p.f64 n) 3) -1) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 n) 2) (+.f64 (log1p.f64 n) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) -1) (/.f64 1 (+.f64 (log1p.f64 n) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 n)) 1) (-.f64 (sqrt.f64 (log1p.f64 n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) (+.f64 (log1p.f64 n) 1)) (+.f64 (pow.f64 (log1p.f64 n) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 n) 1) (+.f64 (pow.f64 (log1p.f64 n) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 n) 3) -1) (+.f64 (pow.f64 (log1p.f64 n) 2) (+.f64 (log1p.f64 n) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 n) 3) -1) (+.f64 (pow.f64 (log1p.f64 n) 2) (-.f64 1 (*.f64 (log1p.f64 n) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) -1) (+.f64 (log1p.f64 n) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) -1) (-.f64 (log1p.f64 n) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 n) 3) -1)) (neg.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) (+.f64 (log1p.f64 n) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) -1)) (neg.f64 (+.f64 (log1p.f64 n) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log1p.f64 n) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (log1p.f64 n) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (log1p.f64 n) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (log1p.f64 n) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (log1p.f64 n) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 n 1) (E.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (log1p.f64 n) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (log1p.f64 n) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (log1p.f64 n) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 n) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (cbrt.f64 (log1p.f64 n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log1p.f64 n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (log1p.f64 n))))))) |
| 1× | egg-herbie |
| 860× | sub-neg_binary64 |
| 498× | associate-*l*_binary64 |
| 479× | cancel-sign-sub-inv_binary64 |
| 472× | fma-def_binary64 |
| 385× | associate-+l-_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 198 |
| 1 | 135 | 172 |
| 2 | 385 | 172 |
| 3 | 1331 | 167 |
| 4 | 4021 | 167 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 n 1) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 2)) n) 1) |
(-.f64 (+.f64 (*.f64 1/3 (pow.f64 n 3)) (+.f64 (*.f64 -1/2 (pow.f64 n 2)) n)) 1) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) 1) |
(-.f64 (+.f64 (/.f64 1 n) (*.f64 -1 (log.f64 (/.f64 1 n)))) 1) |
(-.f64 (+.f64 (/.f64 1 n) (*.f64 -1 (log.f64 (/.f64 1 n)))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) |
(-.f64 (+.f64 (/.f64 1 n) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (*.f64 -1 (log.f64 (/.f64 1 n))))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))) 1) |
(-.f64 (+.f64 (/.f64 1 n) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) 1) |
(-.f64 (+.f64 (/.f64 1 n) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) |
(-.f64 (+.f64 (/.f64 1 n) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) |
| Outputs |
|---|
-1 |
(-.f64 n 1) |
(+.f64 n -1) |
(+.f64 -1 n) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 2)) n) 1) |
(+.f64 (fma.f64 -1/2 (*.f64 n n) n) -1) |
(+.f64 -1 (fma.f64 -1/2 (*.f64 n n) n)) |
(fma.f64 -1/2 (*.f64 n n) (+.f64 -1 n)) |
(fma.f64 (fma.f64 n -1/2 1) n -1) |
(-.f64 (+.f64 (*.f64 1/3 (pow.f64 n 3)) (+.f64 (*.f64 -1/2 (pow.f64 n 2)) n)) 1) |
(+.f64 (fma.f64 1/3 (pow.f64 n 3) (fma.f64 -1/2 (*.f64 n n) n)) -1) |
(+.f64 -1 (fma.f64 1/3 (pow.f64 n 3) (fma.f64 -1/2 (*.f64 n n) n))) |
(+.f64 (fma.f64 -1/2 (*.f64 n n) -1) (fma.f64 1/3 (pow.f64 n 3) n)) |
(+.f64 n (fma.f64 n (*.f64 n (fma.f64 n 1/3 -1/2)) -1)) |
(+.f64 -1 (fma.f64 n (*.f64 n (fma.f64 n 1/3 -1/2)) n)) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) 1) |
(fma.f64 -1 (neg.f64 (log.f64 n)) -1) |
(+.f64 -1 (log.f64 n)) |
(-.f64 (+.f64 (/.f64 1 n) (*.f64 -1 (log.f64 (/.f64 1 n)))) 1) |
(+.f64 (/.f64 1 n) (fma.f64 -1 (neg.f64 (log.f64 n)) -1)) |
(+.f64 (/.f64 1 n) (+.f64 -1 (log.f64 n))) |
(+.f64 -1 (+.f64 (/.f64 1 n) (log.f64 n))) |
(-.f64 (+.f64 (/.f64 1 n) (*.f64 -1 (log.f64 (/.f64 1 n)))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) |
(-.f64 (+.f64 (/.f64 1 n) (fma.f64 -1 (neg.f64 (log.f64 n)) -1)) (/.f64 1/2 (*.f64 n n))) |
(-.f64 (+.f64 (/.f64 1 n) (+.f64 -1 (log.f64 n))) (/.f64 1/2 (*.f64 n n))) |
(+.f64 -1 (+.f64 (/.f64 1 n) (+.f64 (log.f64 n) (/.f64 -1/2 (*.f64 n n))))) |
(+.f64 (/.f64 1 n) (+.f64 -1 (+.f64 (log.f64 n) (/.f64 (/.f64 -1/2 n) n)))) |
(+.f64 -1 (-.f64 (+.f64 (/.f64 1 n) (log.f64 n)) (/.f64 1/2 (*.f64 n n)))) |
(-.f64 (+.f64 (/.f64 1 n) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (*.f64 -1 (log.f64 (/.f64 1 n))))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) |
(+.f64 (/.f64 1 n) (-.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 1/3 (pow.f64 n 3))) (+.f64 1 (/.f64 1/2 (*.f64 n n))))) |
(-.f64 (+.f64 (+.f64 (/.f64 1 n) (log.f64 n)) (/.f64 1/3 (pow.f64 n 3))) (+.f64 1 (/.f64 1/2 (*.f64 n n)))) |
(+.f64 (/.f64 1 n) (+.f64 (log.f64 n) (+.f64 (/.f64 1/3 (pow.f64 n 3)) (-.f64 -1 (/.f64 1/2 (*.f64 n n)))))) |
(+.f64 -1 (+.f64 (/.f64 1 n) (+.f64 (log.f64 n) (+.f64 (/.f64 1/3 (pow.f64 n 3)) (/.f64 (/.f64 -1/2 n) n))))) |
(+.f64 -1 (+.f64 (/.f64 1 n) (-.f64 (+.f64 (log.f64 n) (/.f64 1/3 (pow.f64 n 3))) (/.f64 1/2 (*.f64 n n))))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))) 1) |
(fma.f64 -1 (neg.f64 (log.f64 n)) -1) |
(+.f64 -1 (log.f64 n)) |
(-.f64 (+.f64 (/.f64 1 n) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) 1) |
(+.f64 (/.f64 1 n) (fma.f64 -1 (neg.f64 (log.f64 n)) -1)) |
(+.f64 (/.f64 1 n) (+.f64 -1 (log.f64 n))) |
(+.f64 -1 (+.f64 (/.f64 1 n) (log.f64 n))) |
(-.f64 (+.f64 (/.f64 1 n) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) |
(-.f64 (+.f64 (/.f64 1 n) (fma.f64 -1 (neg.f64 (log.f64 n)) -1)) (/.f64 1/2 (*.f64 n n))) |
(-.f64 (+.f64 (/.f64 1 n) (+.f64 -1 (log.f64 n))) (/.f64 1/2 (*.f64 n n))) |
(+.f64 -1 (+.f64 (/.f64 1 n) (+.f64 (log.f64 n) (/.f64 -1/2 (*.f64 n n))))) |
(+.f64 (/.f64 1 n) (+.f64 -1 (+.f64 (log.f64 n) (/.f64 (/.f64 -1/2 n) n)))) |
(+.f64 -1 (-.f64 (+.f64 (/.f64 1 n) (log.f64 n)) (/.f64 1/2 (*.f64 n n)))) |
(-.f64 (+.f64 (/.f64 1 n) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) |
(+.f64 (/.f64 1 n) (-.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 1/3 (pow.f64 n 3))) (+.f64 1 (/.f64 1/2 (*.f64 n n))))) |
(-.f64 (+.f64 (+.f64 (/.f64 1 n) (log.f64 n)) (/.f64 1/3 (pow.f64 n 3))) (+.f64 1 (/.f64 1/2 (*.f64 n n)))) |
(+.f64 (/.f64 1 n) (+.f64 (log.f64 n) (+.f64 (/.f64 1/3 (pow.f64 n 3)) (-.f64 -1 (/.f64 1/2 (*.f64 n n)))))) |
(+.f64 -1 (+.f64 (/.f64 1 n) (+.f64 (log.f64 n) (+.f64 (/.f64 1/3 (pow.f64 n 3)) (/.f64 (/.f64 -1/2 n) n))))) |
(+.f64 -1 (+.f64 (/.f64 1 n) (-.f64 (+.f64 (log.f64 n) (/.f64 1/3 (pow.f64 n 3))) (/.f64 1/2 (*.f64 n n))))) |
Compiled 548 to 393 computations (28.3% saved)
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 49 | 1 | 50 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 49 | 4 | 53 |
| Status | Error | Program |
|---|---|---|
| ✓ | 44.3b | (-.f64 (log1p.f64 n) 1) |
| 63.0b | -1 | |
| ✓ | 0b | (+.f64 (log.f64 n) (/.f64 1/2 n)) |
| ▶ | 60.7b | (+.f64 -1 n) |
Compiled 18 to 14 computations (22.2% saved)
Compiled 6 to 4 computations (33.3% saved)
Compiled 1 to 1 computations (0% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 0 | 4 | 4 |
| Status | Error | Program |
|---|---|---|
| ✓ | 44.3b | (-.f64 (log1p.f64 n) 1) |
| 63.0b | -1 | |
| ✓ | 0b | (+.f64 (log.f64 n) (/.f64 1/2 n)) |
| ✓ | 60.7b | (+.f64 -1 n) |
Compiled 18 to 14 computations (22.2% saved)
Compiled 1 to 1 computations (0% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 3 | 3 |
| Total | 0 | 4 | 4 |
| Status | Error | Program |
|---|---|---|
| ✓ | 44.3b | (-.f64 (log1p.f64 n) 1) |
| 63.0b | -1 | |
| ✓ | 0b | (+.f64 (log.f64 n) (/.f64 1/2 n)) |
| ✓ | 60.7b | (+.f64 -1 n) |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
-1 |
(+.f64 -1 n) |
(-.f64 (log1p.f64 n) 1) |
(+.f64 (log.f64 n) (/.f64 1/2 n)) |
| Outputs |
|---|
(+.f64 (log.f64 n) (/.f64 1/2 n)) |
1 calls:
| 4.0ms | n |
| Error | Segments | Branch |
|---|---|---|
| 0b | 1 | n |
Compiled 17 to 12 computations (29.4% saved)
| Inputs |
|---|
-1 |
(+.f64 -1 n) |
(-.f64 (log1p.f64 n) 1) |
| Outputs |
|---|
(-.f64 (log1p.f64 n) 1) |
1 calls:
| 4.0ms | n |
| Error | Segments | Branch |
|---|---|---|
| 44.3b | 1 | n |
Compiled 11 to 8 computations (27.3% saved)
Total -2.3b remaining (-3.8%)
Threshold costs -2.3b (-3.8%)
| Inputs |
|---|
-1 |
(+.f64 -1 n) |
| Outputs |
|---|
(+.f64 -1 n) |
1 calls:
| 3.0ms | n |
| Error | Segments | Branch |
|---|---|---|
| 60.7b | 1 | n |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
| 3× | +-commutative_binary64 |
| 1× | sub-neg_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 20 |
| 1 | 17 | 20 |
| 2 | 18 | 20 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (log.f64 n) (/.f64 1/2 n)) |
(-.f64 (log1p.f64 n) 1) |
(+.f64 -1 n) |
-1 |
| Outputs |
|---|
(+.f64 (log.f64 n) (/.f64 1/2 n)) |
(-.f64 (log1p.f64 n) 1) |
(+.f64 (log1p.f64 n) -1) |
(+.f64 -1 n) |
(+.f64 n -1) |
-1 |
| 1× | fuel |
Compiled 33 to 25 computations (24.2% saved)
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