Time bar (total: 6.7s)
| 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)
| 3.3s | 4392× | body | 1024 | valid |
| 881.0ms | 2179× | body | 512 | valid |
| 379.0ms | 427× | body | 2048 | valid |
| 325.0ms | 1258× | body | 256 | valid |
| 2× | egg-herbie |
| 876× | fma-def_binary64 |
| 833× | fma-neg_binary64 |
| 800× | associate--l+_binary64 |
| 746× | associate--r+_binary64 |
| 437× | distribute-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 26 | 18 |
| 2 | 62 | 18 |
| 3 | 145 | 18 |
| 4 | 332 | 17 |
| 5 | 679 | 17 |
| 6 | 1178 | 17 |
| 7 | 2051 | 17 |
| 8 | 2734 | 17 |
| 9 | 3161 | 17 |
| 10 | 5133 | 17 |
| 11 | 5856 | 17 |
| 12 | 6144 | 17 |
| 13 | 6170 | 17 |
| 14 | 6178 | 17 |
| 15 | 6178 | 17 |
| 16 | 6396 | 17 |
| 17 | 6652 | 17 |
| 18 | 6668 | 17 |
| 19 | 6674 | 17 |
| 20 | 6680 | 17 |
| 21 | 6680 | 17 |
| 22 | 6680 | 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 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) |
Compiled 17 to 13 computations (23.5% saved)
| 1× | egg-herbie |
| 876× | fma-def_binary64 |
| 833× | fma-neg_binary64 |
| 800× | associate--l+_binary64 |
| 746× | associate--r+_binary64 |
| 437× | distribute-neg-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 26 | 18 |
| 2 | 62 | 18 |
| 3 | 145 | 18 |
| 4 | 332 | 17 |
| 5 | 679 | 17 |
| 6 | 1178 | 17 |
| 7 | 2051 | 17 |
| 8 | 2734 | 17 |
| 9 | 3161 | 17 |
| 10 | 5133 | 17 |
| 11 | 5856 | 17 |
| 12 | 6144 | 17 |
| 13 | 6170 | 17 |
| 14 | 6178 | 17 |
| 15 | 6178 | 17 |
| 16 | 6396 | 17 |
| 17 | 6652 | 17 |
| 18 | 6668 | 17 |
| 19 | 6674 | 17 |
| 20 | 6680 | 17 |
| 21 | 6680 | 17 |
| 22 | 6680 | 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 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.f64 n) (log.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 |
|---|---|---|
| ▶ | 44.2b | (+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.f64 n) (log.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 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.1b | (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1) |
| ✓ | 4.8b | (-.f64 (log1p.f64 n) (log.f64 n)) |
Compiled 31 to 10 computations (67.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | n | @ | inf | (-.f64 (log1p.f64 n) (log.f64 n)) |
| 1.0ms | n | @ | -inf | (-.f64 (log1p.f64 n) (log.f64 n)) |
| 1.0ms | n | @ | 0 | (-.f64 (log1p.f64 n) (log.f64 n)) |
| 1.0ms | n | @ | inf | (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1) |
| 0.0ms | n | @ | -inf | (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1) |
| 1× | batch-egg-rewrite |
| 752× | pow1_binary64 |
| 697× | add-log-exp_binary64 |
| 697× | expm1-log1p-u_binary64 |
| 696× | log1p-expm1-u_binary64 |
| 682× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 1 | 142 | 20 |
| 2 | 1839 | 20 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log1p.f64 n) (log.f64 n)) |
(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 n) (neg.f64 (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 n) (*.f64 (neg.f64 (log.f64 n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) 1 (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 n))) (pow.f64 (cbrt.f64 (log.f64 n)) 2) (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 n)) (log1p.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 n) (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) 2) (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) (sqrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (log.f64 n) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 n) 2) (*.f64 (log.f64 n) (+.f64 (log1p.f64 n) (log.f64 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 n) 2) (pow.f64 (log.f64 n) 2)) (/.f64 1 (+.f64 (log1p.f64 n) (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log.f64 n))) (-.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) (*.f64 (log.f64 n) (+.f64 (log1p.f64 n) (log.f64 n)))) (-.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (log.f64 n) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 n) (log.f64 n)) (-.f64 (pow.f64 (log1p.f64 n) 2) (pow.f64 (log.f64 n) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (log.f64 n) 3)) (+.f64 (pow.f64 (log1p.f64 n) 2) (*.f64 (log.f64 n) (+.f64 (log1p.f64 n) (log.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 n) 2) (pow.f64 (log.f64 n) 2)) (+.f64 (log1p.f64 n) (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (log.f64 n) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 n) 2) (*.f64 (log.f64 n) (+.f64 (log1p.f64 n) (log.f64 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 n) 2) (pow.f64 (log.f64 n) 2))) (neg.f64 (+.f64 (log1p.f64 n) (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (neg.f64 (log.f64 n)) 3)) (+.f64 (pow.f64 (log1p.f64 n) 2) (-.f64 (*.f64 (neg.f64 (log.f64 n)) (neg.f64 (log.f64 n))) (*.f64 (log1p.f64 n) (neg.f64 (log.f64 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 n) 2) (*.f64 (neg.f64 (log.f64 n)) (neg.f64 (log.f64 n)))) (-.f64 (log1p.f64 n) (neg.f64 (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 n 1) n))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 n) (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (+.f64 n 1) n) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 n) (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 n) (neg.f64 (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 n)) 2) (cbrt.f64 (log1p.f64 n)) (neg.f64 (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 n)) (sqrt.f64 (log1p.f64 n)) (neg.f64 (log.f64 n))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) (pow.f64 (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) 2) (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) (sqrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) 3) -1) (+.f64 (*.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))) (-.f64 1 (*.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))) 1) (-.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1))))))) |
| 1× | egg-herbie |
| 551× | associate-/l/_binary64 |
| 550× | fma-def_binary64 |
| 446× | associate-*l/_binary64 |
| 329× | associate-/l*_binary64 |
| 308× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 381 |
| 1 | 156 | 369 |
| 2 | 418 | 365 |
| 3 | 1175 | 358 |
| 4 | 3925 | 358 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (log.f64 n)) |
(+.f64 n (*.f64 -1 (log.f64 n))) |
(+.f64 (*.f64 -1/2 (pow.f64 n 2)) (+.f64 n (*.f64 -1 (log.f64 n)))) |
(+.f64 (*.f64 1/3 (pow.f64 n 3)) (+.f64 (*.f64 -1/2 (pow.f64 n 2)) (+.f64 n (*.f64 -1 (log.f64 n))))) |
(/.f64 1 n) |
(-.f64 (/.f64 1 n) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 4))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) |
(/.f64 1 n) |
(-.f64 (/.f64 1 n) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 4))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) |
-1 |
(-.f64 (*.f64 -1 (*.f64 n (log.f64 n))) 1) |
(-.f64 (+.f64 (pow.f64 n 2) (*.f64 -1 (*.f64 n (log.f64 n)))) 1) |
(-.f64 (+.f64 (pow.f64 n 2) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 -1 (*.f64 n (log.f64 n))))) 1) |
(/.f64 -1/2 n) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (*.f64 1/5 (/.f64 1 (pow.f64 n 4)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n)))) |
(/.f64 -1/2 n) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (*.f64 1/5 (/.f64 1 (pow.f64 n 4)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n)))) |
| Outputs |
|---|
(*.f64 -1 (log.f64 n)) |
(neg.f64 (log.f64 n)) |
(+.f64 n (*.f64 -1 (log.f64 n))) |
(+.f64 n (neg.f64 (log.f64 n))) |
(-.f64 n (log.f64 n)) |
(+.f64 (*.f64 -1/2 (pow.f64 n 2)) (+.f64 n (*.f64 -1 (log.f64 n)))) |
(fma.f64 -1/2 (*.f64 n n) (+.f64 n (neg.f64 (log.f64 n)))) |
(-.f64 (fma.f64 -1/2 (*.f64 n n) n) (log.f64 n)) |
(fma.f64 n (*.f64 n -1/2) (-.f64 n (log.f64 n))) |
(-.f64 (*.f64 n (fma.f64 n -1/2 1)) (log.f64 n)) |
(+.f64 (*.f64 1/3 (pow.f64 n 3)) (+.f64 (*.f64 -1/2 (pow.f64 n 2)) (+.f64 n (*.f64 -1 (log.f64 n))))) |
(fma.f64 1/3 (pow.f64 n 3) (fma.f64 -1/2 (*.f64 n n) (+.f64 n (neg.f64 (log.f64 n))))) |
(fma.f64 1/3 (pow.f64 n 3) (-.f64 (fma.f64 -1/2 (*.f64 n n) n) (log.f64 n))) |
(fma.f64 n (*.f64 n -1/2) (fma.f64 1/3 (pow.f64 n 3) (-.f64 n (log.f64 n)))) |
(-.f64 (fma.f64 (*.f64 n n) (fma.f64 n 1/3 -1/2) n) (log.f64 n)) |
(/.f64 1 n) |
(-.f64 (/.f64 1 n) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (/.f64 1 n) (/.f64 1/2 (*.f64 n n))) |
(-.f64 (/.f64 1 n) (/.f64 (/.f64 1/2 n) n)) |
(-.f64 (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 (/.f64 1 n) (/.f64 1/3 (pow.f64 n 3))) (/.f64 1/2 (*.f64 n n))) |
(+.f64 (/.f64 1/3 (pow.f64 n 3)) (-.f64 (/.f64 1 n) (/.f64 (/.f64 1/2 n) n))) |
(+.f64 (/.f64 1 n) (+.f64 (/.f64 1/3 (pow.f64 n 3)) (/.f64 (/.f64 -1/2 n) n))) |
(+.f64 (/.f64 1 n) (-.f64 (/.f64 1/3 (pow.f64 n 3)) (/.f64 (/.f64 1/2 n) n))) |
(-.f64 (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 4))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) |
(-.f64 (+.f64 (/.f64 1 n) (/.f64 1/3 (pow.f64 n 3))) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/4 (pow.f64 n 4)))) |
(+.f64 (/.f64 1/3 (pow.f64 n 3)) (-.f64 (/.f64 1 n) (+.f64 (/.f64 (/.f64 1/2 n) n) (/.f64 1/4 (pow.f64 n 4))))) |
(+.f64 (/.f64 1/3 (pow.f64 n 3)) (-.f64 (-.f64 (/.f64 1 n) (/.f64 (/.f64 1/2 n) n)) (/.f64 1/4 (pow.f64 n 4)))) |
(+.f64 (+.f64 (/.f64 1 n) (-.f64 (/.f64 1/3 (pow.f64 n 3)) (/.f64 (/.f64 1/2 n) n))) (/.f64 -1/4 (pow.f64 n 4))) |
(/.f64 1 n) |
(-.f64 (/.f64 1 n) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (/.f64 1 n) (/.f64 1/2 (*.f64 n n))) |
(-.f64 (/.f64 1 n) (/.f64 (/.f64 1/2 n) n)) |
(-.f64 (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 (/.f64 1 n) (/.f64 1/3 (pow.f64 n 3))) (/.f64 1/2 (*.f64 n n))) |
(+.f64 (/.f64 1/3 (pow.f64 n 3)) (-.f64 (/.f64 1 n) (/.f64 (/.f64 1/2 n) n))) |
(+.f64 (/.f64 1 n) (+.f64 (/.f64 1/3 (pow.f64 n 3)) (/.f64 (/.f64 -1/2 n) n))) |
(+.f64 (/.f64 1 n) (-.f64 (/.f64 1/3 (pow.f64 n 3)) (/.f64 (/.f64 1/2 n) n))) |
(-.f64 (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 4))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) |
(-.f64 (+.f64 (/.f64 1 n) (/.f64 1/3 (pow.f64 n 3))) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/4 (pow.f64 n 4)))) |
(+.f64 (/.f64 1/3 (pow.f64 n 3)) (-.f64 (/.f64 1 n) (+.f64 (/.f64 (/.f64 1/2 n) n) (/.f64 1/4 (pow.f64 n 4))))) |
(+.f64 (/.f64 1/3 (pow.f64 n 3)) (-.f64 (-.f64 (/.f64 1 n) (/.f64 (/.f64 1/2 n) n)) (/.f64 1/4 (pow.f64 n 4)))) |
(+.f64 (+.f64 (/.f64 1 n) (-.f64 (/.f64 1/3 (pow.f64 n 3)) (/.f64 (/.f64 1/2 n) n))) (/.f64 -1/4 (pow.f64 n 4))) |
-1 |
(-.f64 (*.f64 -1 (*.f64 n (log.f64 n))) 1) |
(fma.f64 -1 (*.f64 n (log.f64 n)) -1) |
(fma.f64 (neg.f64 n) (log.f64 n) -1) |
(fma.f64 n (neg.f64 (log.f64 n)) -1) |
(-.f64 (+.f64 (pow.f64 n 2) (*.f64 -1 (*.f64 n (log.f64 n)))) 1) |
(+.f64 (*.f64 n n) (fma.f64 -1 (*.f64 n (log.f64 n)) -1)) |
(fma.f64 n n (fma.f64 (neg.f64 n) (log.f64 n) -1)) |
(+.f64 -1 (*.f64 n (-.f64 n (log.f64 n)))) |
(fma.f64 n (-.f64 n (log.f64 n)) -1) |
(-.f64 (+.f64 (pow.f64 n 2) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 -1 (*.f64 n (log.f64 n))))) 1) |
(+.f64 (*.f64 n n) (-.f64 (fma.f64 -1/2 (pow.f64 n 3) (neg.f64 (*.f64 n (log.f64 n)))) 1)) |
(fma.f64 n n (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (fma.f64 (neg.f64 n) (log.f64 n) -1))) |
(+.f64 -1 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 n (-.f64 n (log.f64 n))))) |
(fma.f64 n (-.f64 n (log.f64 n)) (fma.f64 -1/2 (pow.f64 n 3) -1)) |
(/.f64 -1/2 n) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n)) |
(+.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 -1/2 n)) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n)))) |
(-.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 (/.f64 1/2 n) (/.f64 1/4 (pow.f64 n 3)))) |
(-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1/4 (pow.f64 n 3))) |
(+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 (/.f64 -1/2 n) (/.f64 -1/4 (pow.f64 n 3)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (*.f64 1/5 (/.f64 1 (pow.f64 n 4)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n)))) |
(-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/5 (pow.f64 n 4))) (+.f64 (/.f64 1/2 n) (/.f64 1/4 (pow.f64 n 3)))) |
(+.f64 (/.f64 1/5 (pow.f64 n 4)) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1/4 (pow.f64 n 3)))) |
(+.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 (/.f64 -1/2 n) (/.f64 -1/4 (pow.f64 n 3)))) (/.f64 1/5 (pow.f64 n 4))) |
(+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/5 (pow.f64 n 4)) (/.f64 -1/4 (pow.f64 n 3))))) |
(/.f64 -1/2 n) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n)) |
(+.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 -1/2 n)) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n)))) |
(-.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 (/.f64 1/2 n) (/.f64 1/4 (pow.f64 n 3)))) |
(-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1/4 (pow.f64 n 3))) |
(+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 (/.f64 -1/2 n) (/.f64 -1/4 (pow.f64 n 3)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) (*.f64 1/5 (/.f64 1 (pow.f64 n 4)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n)))) |
(-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/5 (pow.f64 n 4))) (+.f64 (/.f64 1/2 n) (/.f64 1/4 (pow.f64 n 3)))) |
(+.f64 (/.f64 1/5 (pow.f64 n 4)) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1/4 (pow.f64 n 3)))) |
(+.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 (/.f64 -1/2 n) (/.f64 -1/4 (pow.f64 n 3)))) (/.f64 1/5 (pow.f64 n 4))) |
(+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 (/.f64 -1/2 n) (+.f64 (/.f64 1/5 (pow.f64 n 4)) (/.f64 -1/4 (pow.f64 n 3))))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) |
| ✓ | 0.2b | (*.f64 n (log.f64 n)) |
| ✓ | 5.3b | (-.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 | |
|---|---|---|---|---|
| 63.0ms | n | @ | 0 | (*.f64 n (log.f64 n)) |
| 14.0ms | n | @ | -inf | (*.f64 n (log.f64 n)) |
| 6.0ms | 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 | @ | -inf | (-.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 | 2737 | 32 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) |
(*.f64 n (log.f64 n)) |
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) |
| 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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((#(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 expm1.f64 (log1p.f64 (*.f64 n (log.f64 n))))))) (#(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 (*.f64 3 (log.f64 (*.f64 n (log.f64 n)))) 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)))))) |
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n)) (*.f64 (log1p.f64 n) n)))))) |
| 1× | egg-herbie |
| 560× | associate--l+_binary64 |
| 433× | associate-+l+_binary64 |
| 393× | fma-def_binary64 |
| 364× | times-frac_binary64 |
| 349× | unsub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 568 |
| 1 | 256 | 450 |
| 2 | 792 | 433 |
| 3 | 2904 | 419 |
| 4 | 6993 | 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)))) |
(*.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))) |
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)))) |
| 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 n (-.f64 (+.f64 (*.f64 n 1/2) 1) (log.f64 n))) |
(+.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 1/2 (*.f64 n -1/6))))) |
(+.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 -1/6 (*.f64 n 1/12)))))) |
(+.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 1 (+.f64 (log.f64 n) (-.f64 (/.f64 1/2 n) (/.f64 1/6 (*.f64 n n))))) |
(+.f64 (log.f64 n) (+.f64 (+.f64 (/.f64 1/2 n) (/.f64 (/.f64 -1/6 n) n)) 1)) |
(+.f64 (/.f64 1/2 n) (-.f64 (+.f64 1 (log.f64 n)) (/.f64 1/6 (*.f64 n 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 1 (+.f64 (+.f64 (/.f64 1/2 n) (/.f64 1/12 (pow.f64 n 3))) (-.f64 (log.f64 n) (/.f64 1/6 (*.f64 n n))))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 1/2 n) (/.f64 1/12 (pow.f64 n 3))) (+.f64 (log.f64 n) (/.f64 (/.f64 -1/6 n) n)))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 1/2 n) (/.f64 1/12 (pow.f64 n 3))) (+.f64 (log.f64 n) (/.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 1 (+.f64 (log.f64 n) (-.f64 (/.f64 1/2 n) (/.f64 1/6 (*.f64 n n))))) |
(+.f64 (log.f64 n) (+.f64 (+.f64 (/.f64 1/2 n) (/.f64 (/.f64 -1/6 n) n)) 1)) |
(+.f64 (/.f64 1/2 n) (-.f64 (+.f64 1 (log.f64 n)) (/.f64 1/6 (*.f64 n 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 1 (+.f64 (+.f64 (/.f64 1/2 n) (/.f64 1/12 (pow.f64 n 3))) (-.f64 (log.f64 n) (/.f64 1/6 (*.f64 n n))))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 1/2 n) (/.f64 1/12 (pow.f64 n 3))) (+.f64 (log.f64 n) (/.f64 (/.f64 -1/6 n) n)))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 1/2 n) (/.f64 1/12 (pow.f64 n 3))) (+.f64 (log.f64 n) (/.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)) |
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)) |
(+.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 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 -1/6 (pow.f64 n 3) (fma.f64 1/2 (*.f64 n n) (fma.f64 1/12 (pow.f64 n 4) 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 (*.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 (+.f64 1 (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 1 (+.f64 (+.f64 (/.f64 1/2 n) (*.f64 n (log.f64 n))) (-.f64 (log.f64 n) (/.f64 1/6 (*.f64 n n))))) |
(+.f64 (+.f64 1 (log.f64 n)) (+.f64 (/.f64 1/2 n) (fma.f64 n (log.f64 n) (/.f64 (/.f64 -1/6 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 (+.f64 1 (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 1 (+.f64 (+.f64 (/.f64 1/2 n) (*.f64 n (log.f64 n))) (-.f64 (log.f64 n) (/.f64 1/6 (*.f64 n n))))) |
(+.f64 (+.f64 1 (log.f64 n)) (+.f64 (/.f64 1/2 n) (fma.f64 n (log.f64 n) (/.f64 (/.f64 -1/6 n) n)))) |
(+.f64 (/.f64 1/2 n) (-.f64 (fma.f64 (+.f64 n 1) (log.f64 n) 1) (/.f64 1/6 (*.f64 n n)))) |
Compiled 8527 to 3936 computations (53.8% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 371 | 2 | 373 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 373 | 2 | 375 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0b | (+.f64 (log1p.f64 n) (/.f64 -1/2 n)) |
| ▶ | 44.2b | (+.f64 (log1p.f64 n) -1) |
Compiled 12 to 9 computations (25% saved)
Compiled 9 to 5 computations (44.4% saved)
Compiled 14 to 8 computations (42.9% saved)
Compiled 1 to 1 computations (0% saved)
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0b | (+.f64 (log1p.f64 n) (/.f64 -1/2 n)) |
| ✓ | 44.2b | (+.f64 (log1p.f64 n) -1) |
Compiled 12 to 9 computations (25% saved)
Total -63.0b remaining (-∞%)
Threshold costs -63.0b (-∞%)
| Inputs |
|---|
(+.f64 (log1p.f64 n) -1) |
(+.f64 (log1p.f64 n) (/.f64 -1/2 n)) |
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1) |
(+.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) -1)) |
| Outputs |
|---|
(+.f64 (log1p.f64 n) (/.f64 -1/2 n)) |
3 calls:
| 5.0ms | (-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1) |
| 4.0ms | n |
| 2.0ms | (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) |
| Error | Segments | Branch |
|---|---|---|
| 0b | 1 | n |
| 0b | 1 | (-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1) |
| 0b | 1 | (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) |
Compiled 69 to 45 computations (34.8% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 15 |
| 1 | 10 | 15 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (log1p.f64 n) (/.f64 -1/2 n)) |
(+.f64 (log1p.f64 n) -1) |
| Outputs |
|---|
(+.f64 (log1p.f64 n) (/.f64 -1/2 n)) |
(+.f64 (log1p.f64 n) -1) |
Compiled 12 to 9 computations (25% saved)
| 1× | egg-herbie |
| 876× | fma-def_binary64 |
| 833× | fma-neg_binary64 |
| 800× | associate--l+_binary64 |
| 746× | associate--r+_binary64 |
| 437× | distribute-neg-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 26 | 18 |
| 2 | 62 | 18 |
| 3 | 145 | 18 |
| 4 | 332 | 17 |
| 5 | 679 | 17 |
| 6 | 1178 | 17 |
| 7 | 2051 | 17 |
| 8 | 2734 | 17 |
| 9 | 3161 | 17 |
| 10 | 5133 | 17 |
| 11 | 5856 | 17 |
| 12 | 6144 | 17 |
| 13 | 6170 | 17 |
| 14 | 6178 | 17 |
| 15 | 6178 | 17 |
| 16 | 6396 | 17 |
| 17 | 6652 | 17 |
| 18 | 6668 | 17 |
| 19 | 6674 | 17 |
| 20 | 6680 | 17 |
| 21 | 6680 | 17 |
| 22 | 6680 | 17 |
| 1× | node limit |
Compiled 354 to 263 computations (25.7% saved)
Compiled 11 to 7 computations (36.4% saved)
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