Time bar (total: 5.6s)
| 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)
| 3.0s | 4386× | body | 1024 | valid |
| 1.1s | 2122× | body | 512 | valid |
| 459.0ms | 521× | body | 2048 | valid |
| 401.0ms | 1090× | body | 256 | valid |
| 77.0ms | 137× | body | 128 | 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 16 to 12 computations (25% 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)) |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 44.3b | (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) |
Compiled 51 to 31 computations (39.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (log1p.f64 n) |
| ✓ | 0.0b | (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) |
| ✓ | 1.5b | (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) |
| ✓ | 5.6b | (-.f64 (log.f64 n) (log1p.f64 n)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | n | @ | inf | (-.f64 (log.f64 n) (log1p.f64 n)) |
| 1.0ms | n | @ | -inf | (-.f64 (log.f64 n) (log1p.f64 n)) |
| 1.0ms | n | @ | 0 | (-.f64 (log.f64 n) (log1p.f64 n)) |
| 1.0ms | n | @ | inf | (log1p.f64 n) |
| 1.0ms | 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 | 40 |
| 1 | 170 | 40 |
| 2 | 2379 | 40 |
| 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)) |
(log1p.f64 n) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 n) (neg.f64 (log1p.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 n) (*.f64 (neg.f64 (log1p.f64 n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 n) (log1p.f64 n)) (fma.f64 (neg.f64 (log1p.f64 n)) 1 (log1p.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 n) (log1p.f64 n)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 n))) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (log1p.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 n) (log1p.f64 n)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 n))) (sqrt.f64 (log1p.f64 n)) (log1p.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 n)) (log.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 n) (log1p.f64 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log.f64 n) (log1p.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log.f64 n) (log1p.f64 n))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 n) (log1p.f64 n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 n) (log1p.f64 n))) 2) (cbrt.f64 (-.f64 (log.f64 n) (log1p.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log.f64 n) (log1p.f64 n))) (sqrt.f64 (-.f64 (log.f64 n) (log1p.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 n) 3) (pow.f64 (log1p.f64 n) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 n) 2) (*.f64 (log1p.f64 n) (+.f64 (log.f64 n) (log1p.f64 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 n) 2) (pow.f64 (log1p.f64 n) 2)) (/.f64 1 (+.f64 (log.f64 n) (log1p.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log.f64 n)) (sqrt.f64 (log1p.f64 n))) (-.f64 (sqrt.f64 (log.f64 n)) (sqrt.f64 (log1p.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 n) 2) (*.f64 (log1p.f64 n) (+.f64 (log.f64 n) (log1p.f64 n)))) (-.f64 (pow.f64 (log.f64 n) 3) (pow.f64 (log1p.f64 n) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log.f64 n) (log1p.f64 n)) (-.f64 (pow.f64 (log.f64 n) 2) (pow.f64 (log1p.f64 n) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 n) 3) (pow.f64 (log1p.f64 n) 3)) (+.f64 (pow.f64 (log.f64 n) 2) (*.f64 (log1p.f64 n) (+.f64 (log.f64 n) (log1p.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 n) 2) (pow.f64 (log1p.f64 n) 2)) (+.f64 (log.f64 n) (log1p.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 n) 3) (pow.f64 (log1p.f64 n) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 n) 2) (*.f64 (log1p.f64 n) (+.f64 (log.f64 n) (log1p.f64 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 n) 2) (pow.f64 (log1p.f64 n) 2))) (neg.f64 (+.f64 (log.f64 n) (log1p.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 n) 3) (pow.f64 (neg.f64 (log1p.f64 n)) 3)) (+.f64 (pow.f64 (log.f64 n) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 n)) (neg.f64 (log1p.f64 n))) (*.f64 (log.f64 n) (neg.f64 (log1p.f64 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 n) 2) (*.f64 (neg.f64 (log1p.f64 n)) (neg.f64 (log1p.f64 n)))) (-.f64 (log.f64 n) (neg.f64 (log1p.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log.f64 n) (log1p.f64 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log.f64 n) (log1p.f64 n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log.f64 n) (log1p.f64 n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log.f64 n) (log1p.f64 n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log.f64 n) (log1p.f64 n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 n (+.f64 n 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (/.f64 n (+.f64 n 1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log.f64 n) (log1p.f64 n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 n (+.f64 n 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log.f64 n) (log1p.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 n) (neg.f64 (log1p.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 n)) 2) (cbrt.f64 (log.f64 n)) (neg.f64 (log1p.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 n)) (sqrt.f64 (log.f64 n)) (neg.f64 (log1p.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log.f64 n) (log1p.f64 n)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 n (-.f64 (log.f64 n) (log1p.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n (-.f64 (log.f64 n) (log1p.f64 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 n (-.f64 (log.f64 n) (log1p.f64 n))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) (pow.f64 (cbrt.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) 2) (cbrt.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) (sqrt.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 n (-.f64 (log.f64 n) (log1p.f64 n))) 3) 1) (+.f64 (*.f64 (*.f64 n (-.f64 (log.f64 n) (log1p.f64 n))) (*.f64 n (-.f64 (log.f64 n) (log1p.f64 n)))) (-.f64 1 (*.f64 (*.f64 n (-.f64 (log.f64 n) (log1p.f64 n))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 n (-.f64 (log.f64 n) (log1p.f64 n))) (*.f64 n (-.f64 (log.f64 n) (log1p.f64 n)))) 1) (-.f64 (*.f64 n (-.f64 (log.f64 n) (log1p.f64 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 n) (neg.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 n) (*.f64 (neg.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) (fma.f64 (neg.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) 1 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))) (pow.f64 (cbrt.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) 2) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))) (sqrt.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) (log1p.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))) 2) (cbrt.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))) (sqrt.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 n) 2) (*.f64 (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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 n) 2) (pow.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) 2)) (/.f64 1 (+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))) (-.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) (*.f64 (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)))) (-.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) (-.f64 (pow.f64 (log1p.f64 n) 2) (pow.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) 3)) (+.f64 (pow.f64 (log1p.f64 n) 2) (*.f64 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 n) 2) (pow.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) 2)) (+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) (*.f64 (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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 n) 2) (pow.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1) 2))) (neg.f64 (+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (neg.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) 3)) (+.f64 (pow.f64 (log1p.f64 n) 2) (-.f64 (*.f64 (neg.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) (neg.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))) (*.f64 (log1p.f64 n) (neg.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 n) 2) (*.f64 (neg.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) (neg.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))) (-.f64 (log1p.f64 n) (neg.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 n) (neg.f64 (fma.f64 n (-.f64 (log.f64 n) (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)) (neg.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log1p.f64 n)) (neg.f64 (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 n))) 1)))) (#(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 (cbrt.f64 (log1p.f64 n)) (pow.f64 (cbrt.f64 (log1p.f64 n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (cbrt.f64 (log1p.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log1p.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 n 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 n))))))) |
| 1× | egg-herbie |
| 495× | fma-def_binary64 |
| 447× | associate-+l-_binary64 |
| 416× | associate-*l*_binary64 |
| 413× | fma-neg_binary64 |
| 337× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 754 |
| 1 | 329 | 695 |
| 2 | 939 | 687 |
| 3 | 2961 | 684 |
| 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)))) |
n |
(+.f64 (*.f64 -1/2 (pow.f64 n 2)) n) |
(+.f64 (*.f64 -1/2 (pow.f64 n 2)) (+.f64 (*.f64 1/3 (pow.f64 n 3)) n)) |
(+.f64 (*.f64 -1/2 (pow.f64 n 2)) (+.f64 (*.f64 -1/4 (pow.f64 n 4)) (+.f64 (*.f64 1/3 (pow.f64 n 3)) n))) |
(*.f64 -1 (log.f64 (/.f64 1 n))) |
(+.f64 (/.f64 1 n) (*.f64 -1 (log.f64 (/.f64 1 n)))) |
(-.f64 (+.f64 (/.f64 1 n) (*.f64 -1 (log.f64 (/.f64 1 n)))) (*.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 1/2 (/.f64 1 (pow.f64 n 2)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)) |
(+.f64 (/.f64 1 n) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) |
(-.f64 (+.f64 (/.f64 1 n) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) (*.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 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))) (*.f64 1/2 (/.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 (log.f64 n) (fma.f64 n (*.f64 n -1/2) 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 (/.f64 1/2 (*.f64 n n)) (/.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 1/2 (*.f64 n n)) (+.f64 (/.f64 -1 n) (/.f64 -1/3 (pow.f64 n 3)))) |
(+.f64 (/.f64 -1 n) (+.f64 (/.f64 1/2 (*.f64 n 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 (/.f64 1/2 (*.f64 n n)) (/.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 1/2 (*.f64 n n)) (-.f64 (/.f64 -1/3 (pow.f64 n 3)) (-.f64 (/.f64 1 n) (/.f64 1/4 (pow.f64 n 4))))) |
(/.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 (/.f64 1/2 (*.f64 n n)) (/.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 1/2 (*.f64 n n)) (+.f64 (/.f64 -1 n) (/.f64 -1/3 (pow.f64 n 3)))) |
(+.f64 (/.f64 -1 n) (+.f64 (/.f64 1/2 (*.f64 n 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 (/.f64 1/2 (*.f64 n n)) (/.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 1/2 (*.f64 n n)) (-.f64 (/.f64 -1/3 (pow.f64 n 3)) (-.f64 (/.f64 1 n) (/.f64 1/4 (pow.f64 n 4))))) |
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 1/2 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 1/2 n) (/.f64 (/.f64 1/3 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 1/2 n) (-.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/3 (*.f64 n n)))) |
(+.f64 (/.f64 1/2 n) (-.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 (/.f64 1/3 n) n))) |
(+.f64 (/.f64 1/4 (pow.f64 n 3)) (+.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 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (*.f64 1/5 (/.f64 1 (pow.f64 n 4))))) |
(+.f64 (/.f64 1/4 (pow.f64 n 3)) (-.f64 (/.f64 1/2 n) (+.f64 (/.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 (/.f64 1/3 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 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 1/2 n) (/.f64 (/.f64 1/3 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 1/2 n) (-.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/3 (*.f64 n n)))) |
(+.f64 (/.f64 1/2 n) (-.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 (/.f64 1/3 n) n))) |
(+.f64 (/.f64 1/4 (pow.f64 n 3)) (+.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 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (*.f64 1/5 (/.f64 1 (pow.f64 n 4))))) |
(+.f64 (/.f64 1/4 (pow.f64 n 3)) (-.f64 (/.f64 1/2 n) (+.f64 (/.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 (/.f64 1/3 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))))) |
-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 n 1/2) (-.f64 1 (log.f64 n))) -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 1/2 (*.f64 n n) (*.f64 (pow.f64 n 3) -1/6)))) |
(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 n (*.f64 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 1/2 n) (+.f64 (log.f64 n) (/.f64 -1/6 (*.f64 n n)))) |
(+.f64 (log.f64 n) (-.f64 (/.f64 1/2 n) (/.f64 (/.f64 1/6 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 (/.f64 1/2 n) (+.f64 (log.f64 n) (/.f64 1/12 (pow.f64 n 3)))) (/.f64 -1/6 (*.f64 n n))) |
(+.f64 (/.f64 1/2 n) (+.f64 (+.f64 (log.f64 n) (/.f64 -1/6 (*.f64 n n))) (/.f64 1/12 (pow.f64 n 3)))) |
(+.f64 (/.f64 1/12 (pow.f64 n 3)) (+.f64 (log.f64 n) (-.f64 (/.f64 1/2 n) (/.f64 (/.f64 1/6 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 1/2 n) (+.f64 (log.f64 n) (/.f64 -1/6 (*.f64 n n)))) |
(+.f64 (log.f64 n) (-.f64 (/.f64 1/2 n) (/.f64 (/.f64 1/6 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 (/.f64 1/2 n) (+.f64 (log.f64 n) (/.f64 1/12 (pow.f64 n 3)))) (/.f64 -1/6 (*.f64 n n))) |
(+.f64 (/.f64 1/2 n) (+.f64 (+.f64 (log.f64 n) (/.f64 -1/6 (*.f64 n n))) (/.f64 1/12 (pow.f64 n 3)))) |
(+.f64 (/.f64 1/12 (pow.f64 n 3)) (+.f64 (log.f64 n) (-.f64 (/.f64 1/2 n) (/.f64 (/.f64 1/6 n) n)))) |
n |
(+.f64 (*.f64 -1/2 (pow.f64 n 2)) n) |
(fma.f64 -1/2 (*.f64 n n) n) |
(fma.f64 (*.f64 n n) -1/2 n) |
(fma.f64 n (*.f64 n -1/2) n) |
(+.f64 (*.f64 -1/2 (pow.f64 n 2)) (+.f64 (*.f64 1/3 (pow.f64 n 3)) n)) |
(fma.f64 -1/2 (*.f64 n n) (fma.f64 1/3 (pow.f64 n 3) n)) |
(fma.f64 (*.f64 n n) -1/2 (fma.f64 (pow.f64 n 3) 1/3 n)) |
(fma.f64 n (*.f64 n -1/2) (fma.f64 (pow.f64 n 3) 1/3 n)) |
(+.f64 (*.f64 -1/2 (pow.f64 n 2)) (+.f64 (*.f64 -1/4 (pow.f64 n 4)) (+.f64 (*.f64 1/3 (pow.f64 n 3)) n))) |
(fma.f64 -1/2 (*.f64 n n) (fma.f64 -1/4 (pow.f64 n 4) (fma.f64 1/3 (pow.f64 n 3) n))) |
(fma.f64 (*.f64 n n) -1/2 (fma.f64 (pow.f64 n 4) -1/4 (fma.f64 (pow.f64 n 3) 1/3 n))) |
(fma.f64 n (*.f64 n -1/2) (fma.f64 (pow.f64 n 3) 1/3 (fma.f64 (pow.f64 n 4) -1/4 n))) |
(*.f64 -1 (log.f64 (/.f64 1 n))) |
(log.f64 n) |
(+.f64 (/.f64 1 n) (*.f64 -1 (log.f64 (/.f64 1 n)))) |
(+.f64 (/.f64 1 n) (neg.f64 (neg.f64 (log.f64 n)))) |
(+.f64 (log.f64 n) (/.f64 1 n)) |
(-.f64 (+.f64 (/.f64 1 n) (*.f64 -1 (log.f64 (/.f64 1 n)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) |
(+.f64 (/.f64 1 n) (-.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 1/2 (*.f64 n n)))) |
(+.f64 (log.f64 n) (-.f64 (/.f64 1 n) (/.f64 1/2 (*.f64 n n)))) |
(+.f64 (log.f64 n) (+.f64 (/.f64 1 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 1/2 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 (+.f64 (/.f64 1 n) (/.f64 1/3 (pow.f64 n 3))) (neg.f64 (neg.f64 (log.f64 n)))) (/.f64 1/2 (*.f64 n n))) |
(+.f64 (/.f64 1 n) (+.f64 (/.f64 1/3 (pow.f64 n 3)) (+.f64 (log.f64 n) (/.f64 -1/2 (*.f64 n n))))) |
(+.f64 (+.f64 (log.f64 n) (/.f64 1/3 (pow.f64 n 3))) (+.f64 (/.f64 1 n) (/.f64 -1/2 (*.f64 n n)))) |
(+.f64 (log.f64 n) (+.f64 (/.f64 1/3 (pow.f64 n 3)) (+.f64 (/.f64 1 n) (/.f64 -1/2 (*.f64 n n))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)) |
(log.f64 n) |
(+.f64 (/.f64 1 n) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) |
(+.f64 (/.f64 1 n) (neg.f64 (neg.f64 (log.f64 n)))) |
(+.f64 (log.f64 n) (/.f64 1 n)) |
(-.f64 (+.f64 (/.f64 1 n) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) |
(+.f64 (/.f64 1 n) (-.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 1/2 (*.f64 n n)))) |
(+.f64 (log.f64 n) (-.f64 (/.f64 1 n) (/.f64 1/2 (*.f64 n n)))) |
(+.f64 (log.f64 n) (+.f64 (/.f64 1 n) (/.f64 -1/2 (*.f64 n n)))) |
(-.f64 (+.f64 (/.f64 1 n) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 (+.f64 (/.f64 1 n) (/.f64 1/3 (pow.f64 n 3))) (neg.f64 (neg.f64 (log.f64 n)))) (/.f64 1/2 (*.f64 n n))) |
(+.f64 (/.f64 1 n) (+.f64 (/.f64 1/3 (pow.f64 n 3)) (+.f64 (log.f64 n) (/.f64 -1/2 (*.f64 n n))))) |
(+.f64 (+.f64 (log.f64 n) (/.f64 1/3 (pow.f64 n 3))) (+.f64 (/.f64 1 n) (/.f64 -1/2 (*.f64 n n)))) |
(+.f64 (log.f64 n) (+.f64 (/.f64 1/3 (pow.f64 n 3)) (+.f64 (/.f64 1 n) (/.f64 -1/2 (*.f64 n n))))) |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 201 | 1 | 202 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 202 | 1 | 203 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0b | (+.f64 (log.f64 n) (/.f64 1/2 n)) |
Compiled 3824 to 1893 computations (50.5% saved)
1 alts after pruning (0 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 0 | 1 | 1 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0b | (+.f64 (log.f64 n) (/.f64 1/2 n)) |
Compiled 8 to 6 computations (25% saved)
Total -63.0b remaining (-∞%)
Threshold costs -63.0b (-∞%)
| Inputs |
|---|
(+.f64 (log.f64 n) (/.f64 1/2 n)) |
(-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) |
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1) |
| Outputs |
|---|
(+.f64 (log.f64 n) (/.f64 1/2 n)) |
| 3.0ms | 0b | n |
| 2.0ms | 0b | (-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1) |
| 2.0ms | 0b | (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) |
Compiled 65 to 43 computations (33.8% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 7 | 9 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (log.f64 n) (/.f64 1/2 n)) |
| Outputs |
|---|
(+.f64 (log.f64 n) (/.f64 1/2 n)) |
| 1× | done |
Compiled 14 to 10 computations (28.6% saved)
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