Time bar (total: 7.0s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 25% | 75% | 0% | 3 |
| 50% | 50% | 0% | 4 |
| 75% | 25% | 0% | 5 |
| 87.5% | 12.5% | 0% | 6 |
| 93.7% | 6.2% | 0% | 7 |
| 96.8% | 3.1% | 0% | 8 |
| 98.4% | 1.6% | 0% | 9 |
| 99.2% | 0.8% | 0% | 10 |
| 99.6% | 0.4% | 0% | 11 |
| 99.8% | 0.2% | 0% | 12 |
Compiled 21 to 17 computations (19% saved)
| 1.1s | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 677× | fma-def_binary64 |
| 646× | fma-neg_binary64 |
| 640× | associate-/l*_binary64 |
| 578× | associate-/r*_binary64 |
| 298× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 28 |
| 1 | 34 | 22 |
| 2 | 67 | 22 |
| 3 | 107 | 22 |
| 4 | 153 | 22 |
| 5 | 195 | 20 |
| 6 | 292 | 20 |
| 7 | 529 | 20 |
| 8 | 1152 | 20 |
| 9 | 2277 | 20 |
| 10 | 4735 | 20 |
| 11 | 5877 | 20 |
| 12 | 7946 | 20 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)) |
| Outputs |
|---|
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)) |
(*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)) |
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) |
Compiled 21 to 17 computations (19% saved)
| 1× | egg-herbie |
| 677× | fma-def_binary64 |
| 646× | fma-neg_binary64 |
| 640× | associate-/l*_binary64 |
| 578× | associate-/r*_binary64 |
| 298× | distribute-rgt-in_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 28 |
| 1 | 34 | 22 |
| 2 | 67 | 22 |
| 3 | 107 | 22 |
| 4 | 153 | 22 |
| 5 | 195 | 20 |
| 6 | 292 | 20 |
| 7 | 529 | 20 |
| 8 | 1152 | 20 |
| 9 | 2277 | 20 |
| 10 | 4735 | 20 |
| 11 | 5877 | 20 |
| 12 | 7946 | 20 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)) |
| Outputs |
|---|
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)) |
(*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)) |
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) |
Compiled 35 to 27 computations (22.9% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)) |
| ▶ | 0.1b | (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) |
Compiled 36 to 28 computations (22.2% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (fma.f64 x 1913510371/10000000000 16316775383/10000000000) | |
| 0.1b | (fma.f64 x 4481/100000 99229/100000) | |
| 0.1b | (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) | |
| 0.1b | (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) | |
| ✓ | 0.1b | (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) |
| ✓ | 0.1b | (fma.f64 x 4481/100000 99229/100000) |
| ✓ | 0.2b | (fma.f64 x 1913510371/10000000000 16316775383/10000000000) |
| ✓ | 12.9b | (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) |
Compiled 50 to 38 computations (24% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) |
| 1.0ms | x | @ | 0 | (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) |
| 1.0ms | x | @ | -inf | (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) |
| 1.0ms | x | @ | -inf | (fma.f64 x 1913510371/10000000000 16316775383/10000000000) |
| 0.0ms | x | @ | inf | (fma.f64 x 1913510371/10000000000 16316775383/10000000000) |
| 1× | batch-egg-rewrite |
| 573× | unpow-prod-down_binary64 |
| 488× | log-prod_binary64 |
| 317× | pow2_binary64 |
| 253× | pow-prod-down_binary64 |
| 223× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 46 |
| 1 | 267 | 46 |
| 2 | 2949 | 46 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) |
(fma.f64 x 1913510371/10000000000 16316775383/10000000000) |
(fma.f64 x 4481/100000 99229/100000) |
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 1913510371/10000000000 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1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 2) (*.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (sqrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (*.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 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#<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) (/.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 2) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (/.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 (fma.f64 x 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| 1× | egg-herbie |
| 823× | distribute-neg-frac_binary64 |
| 511× | fma-def_binary64 |
| 417× | times-frac_binary64 |
| 403× | distribute-rgt-neg-in_binary64 |
| 286× | associate-*r/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 470 |
| 1 | 147 | 436 |
| 2 | 343 | 432 |
| 3 | 895 | 420 |
| 4 | 2478 | 420 |
| 5 | 6161 | 420 |
| 1× | node limit |
| Inputs |
|---|
16316775383/10000000000 |
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000) |
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)))) |
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))) |
(/.f64 1913510371/448100000 x) |
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))) |
(/.f64 1913510371/448100000 x) |
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))) |
16316775383/10000000000 |
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x)) |
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x)) |
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x)) |
(*.f64 1913510371/10000000000 x) |
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x)) |
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x)) |
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x)) |
(*.f64 1913510371/10000000000 x) |
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x)) |
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x)) |
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x)) |
99229/100000 |
(+.f64 (*.f64 4481/100000 x) 99229/100000) |
(+.f64 (*.f64 4481/100000 x) 99229/100000) |
(+.f64 (*.f64 4481/100000 x) 99229/100000) |
(*.f64 4481/100000 x) |
(+.f64 99229/100000 (*.f64 4481/100000 x)) |
(+.f64 99229/100000 (*.f64 4481/100000 x)) |
(+.f64 99229/100000 (*.f64 4481/100000 x)) |
(*.f64 4481/100000 x) |
(+.f64 99229/100000 (*.f64 4481/100000 x)) |
(+.f64 99229/100000 (*.f64 4481/100000 x)) |
(+.f64 99229/100000 (*.f64 4481/100000 x)) |
16316775383/10000000000 |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)))) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))) |
(*.f64 -70711/100000 x) |
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(*.f64 -70711/100000 x) |
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
| Outputs |
|---|
16316775383/10000000000 |
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000) |
(fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) |
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))) |
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000)) |
(fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000)) |
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -1427746267379707/1000000000000000) 16316775383/10000000000) |
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))) |
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))) |
(+.f64 (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (*.f64 x (*.f64 x 134362287316698645903/100000000000000000000))) (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000)) |
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) 16316775383/10000000000))) |
(fma.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000)) |
(/.f64 1913510371/448100000 x) |
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x))) |
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 3648757816023/62748003125 x) x)) |
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 -3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 3648757816023/62748003125 (*.f64 x x)))) |
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))) (/.f64 3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 1913510371/448100000 x) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))) (/.f64 3648757816023/62748003125 (*.f64 x x)))) |
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 3648757816023/62748003125 (*.f64 x x))) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))) |
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 3648757816023/62748003125 (*.f64 x x))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))) |
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 3648757816023/62748003125 x) x) (/.f64 -335267464412236892/281173802003125 (pow.f64 x 3))))) |
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (-.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))))) |
(/.f64 1913510371/448100000 x) |
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x))) |
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 3648757816023/62748003125 x) x)) |
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 -3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 3648757816023/62748003125 (*.f64 x x)))) |
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))) (/.f64 3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 1913510371/448100000 x) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))) (/.f64 3648757816023/62748003125 (*.f64 x x)))) |
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 3648757816023/62748003125 (*.f64 x x))) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))) |
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 3648757816023/62748003125 (*.f64 x x))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))) |
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 3648757816023/62748003125 x) x) (/.f64 -335267464412236892/281173802003125 (pow.f64 x 3))))) |
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (-.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))))) |
16316775383/10000000000 |
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x)) |
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000)) |
(fma.f64 x 1913510371/10000000000 16316775383/10000000000) |
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x)) |
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000)) |
(fma.f64 x 1913510371/10000000000 16316775383/10000000000) |
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x)) |
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000)) |
(fma.f64 x 1913510371/10000000000 16316775383/10000000000) |
(*.f64 1913510371/10000000000 x) |
(*.f64 x 1913510371/10000000000) |
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x)) |
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000)) |
(fma.f64 x 1913510371/10000000000 16316775383/10000000000) |
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x)) |
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000)) |
(fma.f64 x 1913510371/10000000000 16316775383/10000000000) |
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x)) |
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000)) |
(fma.f64 x 1913510371/10000000000 16316775383/10000000000) |
(*.f64 1913510371/10000000000 x) |
(*.f64 x 1913510371/10000000000) |
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x)) |
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000)) |
(fma.f64 x 1913510371/10000000000 16316775383/10000000000) |
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x)) |
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000)) |
(fma.f64 x 1913510371/10000000000 16316775383/10000000000) |
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x)) |
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000)) |
(fma.f64 x 1913510371/10000000000 16316775383/10000000000) |
99229/100000 |
(+.f64 (*.f64 4481/100000 x) 99229/100000) |
(fma.f64 4481/100000 x 99229/100000) |
(fma.f64 x 4481/100000 99229/100000) |
(+.f64 (*.f64 4481/100000 x) 99229/100000) |
(fma.f64 4481/100000 x 99229/100000) |
(fma.f64 x 4481/100000 99229/100000) |
(+.f64 (*.f64 4481/100000 x) 99229/100000) |
(fma.f64 4481/100000 x 99229/100000) |
(fma.f64 x 4481/100000 99229/100000) |
(*.f64 4481/100000 x) |
(*.f64 x 4481/100000) |
(+.f64 99229/100000 (*.f64 4481/100000 x)) |
(fma.f64 4481/100000 x 99229/100000) |
(fma.f64 x 4481/100000 99229/100000) |
(+.f64 99229/100000 (*.f64 4481/100000 x)) |
(fma.f64 4481/100000 x 99229/100000) |
(fma.f64 x 4481/100000 99229/100000) |
(+.f64 99229/100000 (*.f64 4481/100000 x)) |
(fma.f64 4481/100000 x 99229/100000) |
(fma.f64 x 4481/100000 99229/100000) |
(*.f64 4481/100000 x) |
(*.f64 x 4481/100000) |
(+.f64 99229/100000 (*.f64 4481/100000 x)) |
(fma.f64 4481/100000 x 99229/100000) |
(fma.f64 x 4481/100000 99229/100000) |
(+.f64 99229/100000 (*.f64 4481/100000 x)) |
(fma.f64 4481/100000 x 99229/100000) |
(fma.f64 x 4481/100000 99229/100000) |
(+.f64 99229/100000 (*.f64 4481/100000 x)) |
(fma.f64 4481/100000 x 99229/100000) |
(fma.f64 x 4481/100000 99229/100000) |
16316775383/10000000000 |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) |
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) |
(fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))) |
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000)) |
(fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)) |
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -2134856267379707/1000000000000000) 16316775383/10000000000) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))) |
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))) |
(+.f64 (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (*.f64 x (*.f64 x 134362287316698645903/100000000000000000000))) (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)) |
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) 16316775383/10000000000))) |
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) 16316775383/10000000000)) |
(fma.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)) |
(*.f64 -70711/100000 x) |
(*.f64 x -70711/100000) |
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) |
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) |
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x)))) |
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x))) |
(-.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 (/.f64 3648757816023/62748003125 x) x)) |
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x))))) |
(+.f64 (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))) (/.f64 -3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))) |
(+.f64 (-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))) (fma.f64 x -70711/100000 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))) |
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (fma.f64 x -70711/100000 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))))) |
(*.f64 -70711/100000 x) |
(*.f64 x -70711/100000) |
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) |
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) |
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x)))) |
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x))) |
(-.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 (/.f64 3648757816023/62748003125 x) x)) |
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x))))) |
(+.f64 (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))) (/.f64 -3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))) |
(+.f64 (-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))) (fma.f64 x -70711/100000 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))) |
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (fma.f64 x -70711/100000 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))))) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)) | |
| 0.0b | (+.f64 230753/100000 (*.f64 x 27061/100000)) | |
| 0.0b | (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x) | |
| 0.0b | (+.f64 99229/100000 (*.f64 x 4481/100000)) | |
| ✓ | 0.1b | (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))) |
| ✓ | 0.4b | (*.f64 x 4481/100000) |
| ✓ | 0.4b | (*.f64 x 27061/100000) |
| ✓ | 12.9b | (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) |
Compiled 91 to 71 computations (22% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))) |
| 1.0ms | x | @ | -inf | (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) |
| 1.0ms | x | @ | inf | (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) |
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) |
| 0.0ms | x | @ | -inf | (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))) |
| 1× | batch-egg-rewrite |
| 848× | prod-diff_binary64 |
| 487× | fma-def_binary64 |
| 273× | expm1-udef_binary64 |
| 273× | log1p-udef_binary64 |
| 225× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 40 |
| 1 | 318 | 32 |
| 2 | 4273 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) |
(*.f64 x 27061/100000) |
(*.f64 x 4481/100000) |
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 27061/100000 230753/100000) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 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(/.f64 1 (neg.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (fma.f64 x 27061/100000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) 1) (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) (/.f64 (fma.f64 x 27061/100000 230753/100000) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (/.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (+.f64 1 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 3))) (fma.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (-.f64 1 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 2))) (-.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 27061/100000 230753/100000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (neg.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 3) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 27061/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 27061/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 27061/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 27061/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 19816708627981/1000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 732297721/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 27061/100000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 27061/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 19816708627981/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 27061/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 27061/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 27061/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 27061/100000))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 4481/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 4481/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 4481/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 4481/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 89975616641/1000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 4481/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4481/100000) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 4481/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 89975616641/1000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 4481/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 4481/100000))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 99229/100000) (*.f64 x (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 4481/100000)) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 99229/100000) 1) (*.f64 (*.f64 x (*.f64 x 4481/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 99229/100000) 3) (pow.f64 (*.f64 x (*.f64 x 4481/100000)) 3)) (fma.f64 (*.f64 x 99229/100000) (*.f64 x 99229/100000) (-.f64 (*.f64 (*.f64 x (*.f64 x 4481/100000)) (*.f64 x (*.f64 x 4481/100000))) (*.f64 (*.f64 x 99229/100000) (*.f64 x (*.f64 x 4481/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 99229/100000) (*.f64 x 99229/100000)) (*.f64 (*.f64 x (*.f64 x 4481/100000)) (*.f64 x (*.f64 x 4481/100000)))) (-.f64 (*.f64 x 99229/100000) (*.f64 x (*.f64 x 4481/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 89975616641/1000000000000000 (pow.f64 x 3) 977047873985989/1000000000000000) x) (fma.f64 (*.f64 x 4481/100000) (fma.f64 x 4481/100000 -99229/100000) 9846394441/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9846394441/10000000000 (pow.f64 (*.f64 x 4481/100000) 2)) x) (+.f64 99229/100000 (*.f64 -4481/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 89975616641/1000000000000000 (pow.f64 x 3) 977047873985989/1000000000000000)) (fma.f64 (*.f64 x 4481/100000) (fma.f64 x 4481/100000 -99229/100000) 9846394441/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 9846394441/10000000000 (pow.f64 (*.f64 x 4481/100000) 2))) (+.f64 99229/100000 (*.f64 -4481/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x 4481/100000))) (exp.f64 (*.f64 x 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 99229/100000 (*.f64 x (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 4481/100000) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 99229/100000) (*.f64 x (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 4481/100000)) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 99229/100000 x (*.f64 x (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4481/100000 (*.f64 x x) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 4481/100000) x (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 4481/100000 (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 99229/100000) (*.f64 x (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 4481/100000)) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2)) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 x 4481/100000) 2)) (*.f64 (cbrt.f64 (*.f64 x 4481/100000)) x) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 99229/100000) (*.f64 x (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 4481/100000)) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 4481/100000)) (*.f64 (sqrt.f64 (*.f64 x 4481/100000)) x) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 3)) (/.f64 1 (fma.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 2)) (/.f64 1 (-.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 99229/100000) 1 (*.f64 (*.f64 x (*.f64 x 4481/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 x 99229/100000)) (cbrt.f64 (*.f64 x 99229/100000))) (cbrt.f64 (*.f64 x 99229/100000)) (*.f64 x (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 4481/100000))) (cbrt.f64 (*.f64 x (*.f64 x 4481/100000)))) (cbrt.f64 (*.f64 x (*.f64 x 4481/100000))) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 99229/100000)) (sqrt.f64 (*.f64 x 99229/100000)) (*.f64 x (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (*.f64 x 4481/100000))) (sqrt.f64 (*.f64 x (*.f64 x 4481/100000))) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4481/100000))) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4481/100000))) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 x 4481/100000)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x 4481/100000)) (sqrt.f64 x)) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 99229/100000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 99229/100000 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (*.f64 x 4481/100000) 2))) (cbrt.f64 (*.f64 x 4481/100000)) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x 4481/100000))) (sqrt.f64 (*.f64 x 4481/100000)) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 4481/100000) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 4481/100000) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 1)))))) |
| 1× | egg-herbie |
| 771× | fma-def_binary64 |
| 767× | distribute-neg-frac_binary64 |
| 417× | times-frac_binary64 |
| 377× | distribute-rgt-neg-in_binary64 |
| 348× | distribute-lft-neg-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 396 |
| 1 | 113 | 392 |
| 2 | 262 | 381 |
| 3 | 686 | 357 |
| 4 | 2001 | 354 |
| 5 | 5862 | 354 |
| 1× | node limit |
| Inputs |
|---|
230753/100000 |
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) |
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))) |
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (+.f64 (*.f64 -20191289437/10000000000 x) (*.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3))))) |
(/.f64 27061/4481 x) |
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4))))) |
(/.f64 27061/4481 x) |
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4))))) |
(*.f64 27061/100000 x) |
(*.f64 27061/100000 x) |
(*.f64 27061/100000 x) |
(*.f64 27061/100000 x) |
(*.f64 27061/100000 x) |
(*.f64 27061/100000 x) |
(*.f64 27061/100000 x) |
(*.f64 27061/100000 x) |
(*.f64 27061/100000 x) |
(*.f64 27061/100000 x) |
(*.f64 27061/100000 x) |
(*.f64 27061/100000 x) |
(*.f64 4481/100000 x) |
(*.f64 4481/100000 x) |
(*.f64 4481/100000 x) |
(*.f64 4481/100000 x) |
(*.f64 4481/100000 x) |
(*.f64 4481/100000 x) |
(*.f64 4481/100000 x) |
(*.f64 4481/100000 x) |
(*.f64 4481/100000 x) |
(*.f64 4481/100000 x) |
(*.f64 4481/100000 x) |
(*.f64 4481/100000 x) |
(*.f64 99229/100000 x) |
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2))) |
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2))) |
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2))) |
(*.f64 4481/100000 (pow.f64 x 2)) |
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2))) |
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2))) |
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2))) |
(*.f64 4481/100000 (pow.f64 x 2)) |
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2))) |
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2))) |
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2))) |
| Outputs |
|---|
230753/100000 |
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) |
(fma.f64 -20191289437/10000000000 x 230753/100000) |
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))) |
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))) |
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (fma.f64 -20191289437/10000000000 x 230753/100000)) |
(fma.f64 x (*.f64 x 1900161040244073/1000000000000000) (fma.f64 -20191289437/10000000000 x 230753/100000)) |
(fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) |
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (+.f64 (*.f64 -20191289437/10000000000 x) (*.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3))))) |
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (+.f64 230753/100000 (fma.f64 -20191289437/10000000000 x (*.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3))))) |
(fma.f64 x (*.f64 x 1900161040244073/1000000000000000) (fma.f64 -20191289437/10000000000 x (fma.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3) 230753/100000))) |
(fma.f64 x (*.f64 x (fma.f64 x -179503363065659419717/100000000000000000000 1900161040244073/1000000000000000)) (fma.f64 -20191289437/10000000000 x 230753/100000)) |
(fma.f64 x (fma.f64 x (fma.f64 x -179503363065659419717/100000000000000000000 1900161040244073/1000000000000000) -20191289437/10000000000) 230753/100000) |
(/.f64 27061/4481 x) |
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x))) |
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) |
(+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) |
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 1651231776/20079361 (*.f64 x x))) |
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x)))) |
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 (/.f64 -1651231776/20079361 x) x))) |
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4))))) |
(-.f64 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 1651231776/20079361 (*.f64 x x))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))) |
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)))) |
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -1651231776/20079361 x) x) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4))))) |
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 27061/4481 x) (-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))))) |
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 (/.f64 -1651231776/20079361 x) x) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))))) |
(/.f64 27061/4481 x) |
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x))) |
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) |
(+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) |
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 1651231776/20079361 (*.f64 x x))) |
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x)))) |
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 (/.f64 -1651231776/20079361 x) x))) |
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4))))) |
(-.f64 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 1651231776/20079361 (*.f64 x x))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))) |
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)))) |
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -1651231776/20079361 x) x) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4))))) |
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 27061/4481 x) (-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))))) |
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 (/.f64 -1651231776/20079361 x) x) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))))) |
(*.f64 27061/100000 x) |
(*.f64 x 27061/100000) |
(*.f64 27061/100000 x) |
(*.f64 x 27061/100000) |
(*.f64 27061/100000 x) |
(*.f64 x 27061/100000) |
(*.f64 27061/100000 x) |
(*.f64 x 27061/100000) |
(*.f64 27061/100000 x) |
(*.f64 x 27061/100000) |
(*.f64 27061/100000 x) |
(*.f64 x 27061/100000) |
(*.f64 27061/100000 x) |
(*.f64 x 27061/100000) |
(*.f64 27061/100000 x) |
(*.f64 x 27061/100000) |
(*.f64 27061/100000 x) |
(*.f64 x 27061/100000) |
(*.f64 27061/100000 x) |
(*.f64 x 27061/100000) |
(*.f64 27061/100000 x) |
(*.f64 x 27061/100000) |
(*.f64 27061/100000 x) |
(*.f64 x 27061/100000) |
(*.f64 4481/100000 x) |
(*.f64 x 4481/100000) |
(*.f64 4481/100000 x) |
(*.f64 x 4481/100000) |
(*.f64 4481/100000 x) |
(*.f64 x 4481/100000) |
(*.f64 4481/100000 x) |
(*.f64 x 4481/100000) |
(*.f64 4481/100000 x) |
(*.f64 x 4481/100000) |
(*.f64 4481/100000 x) |
(*.f64 x 4481/100000) |
(*.f64 4481/100000 x) |
(*.f64 x 4481/100000) |
(*.f64 4481/100000 x) |
(*.f64 x 4481/100000) |
(*.f64 4481/100000 x) |
(*.f64 x 4481/100000) |
(*.f64 4481/100000 x) |
(*.f64 x 4481/100000) |
(*.f64 4481/100000 x) |
(*.f64 x 4481/100000) |
(*.f64 4481/100000 x) |
(*.f64 x 4481/100000) |
(*.f64 99229/100000 x) |
(*.f64 x 99229/100000) |
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2))) |
(fma.f64 99229/100000 x (*.f64 (*.f64 x x) 4481/100000)) |
(fma.f64 x 99229/100000 (*.f64 (*.f64 x x) 4481/100000)) |
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))) |
(*.f64 x (fma.f64 x 4481/100000 99229/100000)) |
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2))) |
(fma.f64 99229/100000 x (*.f64 (*.f64 x x) 4481/100000)) |
(fma.f64 x 99229/100000 (*.f64 (*.f64 x x) 4481/100000)) |
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))) |
(*.f64 x (fma.f64 x 4481/100000 99229/100000)) |
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2))) |
(fma.f64 99229/100000 x (*.f64 (*.f64 x x) 4481/100000)) |
(fma.f64 x 99229/100000 (*.f64 (*.f64 x x) 4481/100000)) |
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))) |
(*.f64 x (fma.f64 x 4481/100000 99229/100000)) |
(*.f64 4481/100000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 4481/100000) |
(*.f64 x (*.f64 x 4481/100000)) |
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2))) |
(fma.f64 99229/100000 x (*.f64 (*.f64 x x) 4481/100000)) |
(fma.f64 x 99229/100000 (*.f64 (*.f64 x x) 4481/100000)) |
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))) |
(*.f64 x (fma.f64 x 4481/100000 99229/100000)) |
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2))) |
(fma.f64 99229/100000 x (*.f64 (*.f64 x x) 4481/100000)) |
(fma.f64 x 99229/100000 (*.f64 (*.f64 x x) 4481/100000)) |
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))) |
(*.f64 x (fma.f64 x 4481/100000 99229/100000)) |
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2))) |
(fma.f64 99229/100000 x (*.f64 (*.f64 x x) 4481/100000)) |
(fma.f64 x 99229/100000 (*.f64 (*.f64 x x) 4481/100000)) |
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))) |
(*.f64 x (fma.f64 x 4481/100000 99229/100000)) |
(*.f64 4481/100000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 4481/100000) |
(*.f64 x (*.f64 x 4481/100000)) |
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2))) |
(fma.f64 99229/100000 x (*.f64 (*.f64 x x) 4481/100000)) |
(fma.f64 x 99229/100000 (*.f64 (*.f64 x x) 4481/100000)) |
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))) |
(*.f64 x (fma.f64 x 4481/100000 99229/100000)) |
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2))) |
(fma.f64 99229/100000 x (*.f64 (*.f64 x x) 4481/100000)) |
(fma.f64 x 99229/100000 (*.f64 (*.f64 x x) 4481/100000)) |
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))) |
(*.f64 x (fma.f64 x 4481/100000 99229/100000)) |
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2))) |
(fma.f64 99229/100000 x (*.f64 (*.f64 x x) 4481/100000)) |
(fma.f64 x 99229/100000 (*.f64 (*.f64 x x) 4481/100000)) |
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))) |
(*.f64 x (fma.f64 x 4481/100000 99229/100000)) |
Compiled 7780 to 6111 computations (21.5% saved)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 331 | 16 | 347 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 332 | 17 | 349 |
| Status | Error | Program |
|---|---|---|
| 13.9b | (pow.f64 (sqrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2) | |
| 24.3b | (fma.f64 x -70711/100000 (+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)) | |
| 1.4b | (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 3) | |
| ▶ | 34.1b | (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
| 1.1b | (*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 99229/100000 x))) x)) | |
| ✓ | 0.1b | (*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)) |
| 24.3b | (*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)) | |
| ▶ | 34.1b | (*.f64 -70711/100000 x) |
| ▶ | 13.8b | (/.f64 (-.f64 (pow.f64 (*.f64 x -70711/100000) 2) (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) (-.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) |
| ▶ | 28.6b | (+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))) |
| 2.0b | (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 2) 3) (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) | |
| ▶ | 0.1b | (+.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (*.f64 x -70711/100000)) |
| 18.3b | (cbrt.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 3)) | |
| 24.3b | (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) | |
| 34.1b | (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x)) | |
| 1.4b | (*.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)) | |
| 35.0b | (*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)) |
Compiled 584 to 460 computations (21.2% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 x -70711/100000) | |
| 0.1b | (fma.f64 x 4481/100000 99229/100000) | |
| 0.1b | (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) | |
| 0.0b | (+.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (*.f64 x -70711/100000)) | |
| 0.1b | (fma.f64 x 4481/100000 99229/100000) | |
| ✓ | 0.2b | (*.f64 x -70711/100000) |
| 0.2b | (fma.f64 x 1913510371/10000000000 16316775383/10000000000) | |
| 12.9b | (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) |
Compiled 54 to 41 computations (24.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 x -70711/100000) |
| 0.0ms | x | @ | inf | (*.f64 x -70711/100000) |
| 0.0ms | x | @ | -inf | (*.f64 x -70711/100000) |
| 1× | batch-egg-rewrite |
| 345× | pow1_binary64 |
| 339× | add-sqr-sqrt_binary64 |
| 329× | *-un-lft-identity_binary64 |
| 322× | add-log-exp_binary64 |
| 322× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 4 |
| 1 | 80 | 4 |
| 2 | 875 | 4 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x -70711/100000) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x -70711/100000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 x) -70711/200000)) (log.f64 (pow.f64 (exp.f64 x) -70711/200000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -70711/50000))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -70711/100000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x -70711/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x -70711/100000)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 x -70711/100000)) (+.f64 1 (*.f64 x -70711/100000))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 x -70711/100000)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x -70711/100000)) (+.f64 1 (*.f64 x -70711/100000))) 1) (+.f64 (+.f64 1 (*.f64 x -70711/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -70711/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -70711/100000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -70711/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x -70711/100000))) 2)) (cbrt.f64 (log.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x -70711/100000)))) (sqrt.f64 (log.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x -70711/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -70711/100000) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -70711/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x -70711/100000) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x -70711/100000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x -70711/100000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -70711/100000))))))) |
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 48 |
| 1 | 5 | 48 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -70711/100000 x) |
(*.f64 -70711/100000 x) |
(*.f64 -70711/100000 x) |
(*.f64 -70711/100000 x) |
(*.f64 -70711/100000 x) |
(*.f64 -70711/100000 x) |
(*.f64 -70711/100000 x) |
(*.f64 -70711/100000 x) |
(*.f64 -70711/100000 x) |
(*.f64 -70711/100000 x) |
(*.f64 -70711/100000 x) |
(*.f64 -70711/100000 x) |
| Outputs |
|---|
(*.f64 -70711/100000 x) |
(*.f64 -70711/100000 x) |
(*.f64 -70711/100000 x) |
(*.f64 -70711/100000 x) |
(*.f64 -70711/100000 x) |
(*.f64 -70711/100000 x) |
(*.f64 -70711/100000 x) |
(*.f64 -70711/100000 x) |
(*.f64 -70711/100000 x) |
(*.f64 -70711/100000 x) |
(*.f64 -70711/100000 x) |
(*.f64 -70711/100000 x) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 -70711/100000 x) | |
| ✓ | 0.2b | (*.f64 -70711/100000 x) |
Compiled 6 to 4 computations (33.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 -70711/100000 x) |
| 0.0ms | x | @ | inf | (*.f64 -70711/100000 x) |
| 0.0ms | x | @ | -inf | (*.f64 -70711/100000 x) |
| 1× | batch-egg-rewrite |
| 345× | pow1_binary64 |
| 339× | add-sqr-sqrt_binary64 |
| 329× | *-un-lft-identity_binary64 |
| 322× | add-log-exp_binary64 |
| 322× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 4 |
| 1 | 80 | 4 |
| 2 | 875 | 4 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -70711/100000 x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 -70711/100000 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -70711/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -70711/50000))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 x) -70711/200000)) (log.f64 (pow.f64 (exp.f64 x) -70711/200000)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -70711/100000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 -70711/100000 x)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 -70711/100000 x)) (+.f64 1 (*.f64 -70711/100000 x))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 -70711/100000 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 -70711/100000 x)) (+.f64 1 (*.f64 -70711/100000 x))) 1) (+.f64 (+.f64 1 (*.f64 -70711/100000 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -70711/100000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 5000045521/10000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -70711/100000 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -70711/100000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -70711/100000 x))) 2)) (cbrt.f64 (log.f64 (*.f64 -70711/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -70711/100000 x)))) (sqrt.f64 (log.f64 (*.f64 -70711/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 5000045521/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 -70711/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -70711/100000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 -70711/100000 x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -70711/100000 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -70711/100000 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -70711/100000 x))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 1913510371/448100000 (/.f64 1 x)) | |
| 0.2b | (*.f64 -70711/100000 x) | |
| 0.0b | (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) | |
| ✓ | 0.0b | (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
| 0.2b | (*.f64 -70711/100000 x) | |
| ✓ | 0.3b | (*.f64 1913510371/448100000 (/.f64 1 x)) |
Compiled 25 to 19 computations (24% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
| 1.0ms | x | @ | 0 | (*.f64 1913510371/448100000 (/.f64 1 x)) |
| 0.0ms | x | @ | inf | (*.f64 1913510371/448100000 (/.f64 1 x)) |
| 0.0ms | x | @ | -inf | (*.f64 1913510371/448100000 (/.f64 1 x)) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
| 1× | batch-egg-rewrite |
| 924× | pow1_binary64 |
| 867× | add-log-exp_binary64 |
| 867× | log1p-expm1-u_binary64 |
| 867× | expm1-log1p-u_binary64 |
| 851× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 14 |
| 1 | 194 | 12 |
| 2 | 2407 | 12 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1913510371/448100000 (/.f64 1 x)) |
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1913510371/448100000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1913510371/448100000 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x 1913510371/448100000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1913510371/448100000 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1913510371/448100000 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1913510371/448100000 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1913510371/448100000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1913510371/448100000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1913510371/448100000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 7006360205689680003640794811/89975616641000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x -2) 3661521939924557641/200793610000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1913510371/448100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 7006360205689680003640794811/89975616641000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1913510371/448100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1913510371/448100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1913510371/448100000 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x -2) 3661521939924557641/200793610000000000) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 70711/100000 x))) (/.f64 (*.f64 5000045521/10000000000 (*.f64 x x)) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 70711/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))) (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))) 2) (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 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(2) ((x cbrt.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1913510371/448100000 (/.f64 1 x) (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -70711/100000) (/.f64 1913510371/448100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 1913510371/448100000 (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -70711/100000 x (/.f64 1913510371/448100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 5000045521/10000000000 (*.f64 x x))) (cbrt.f64 (*.f64 x -70711/100000)) (/.f64 1913510371/448100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1913510371/448100000 x)) 2) (cbrt.f64 (/.f64 1913510371/448100000 x)) (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -70711/100000)) (sqrt.f64 (*.f64 x -70711/100000)) (/.f64 1913510371/448100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1913510371/448100000 x)) (sqrt.f64 (/.f64 1913510371/448100000 x)) (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)))))))) |
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 60 |
| 1 | 7 | 60 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 1913510371/448100000 x) |
(/.f64 1913510371/448100000 x) |
(/.f64 1913510371/448100000 x) |
(/.f64 1913510371/448100000 x) |
(/.f64 1913510371/448100000 x) |
(/.f64 1913510371/448100000 x) |
(/.f64 1913510371/448100000 x) |
(/.f64 1913510371/448100000 x) |
(/.f64 1913510371/448100000 x) |
(/.f64 1913510371/448100000 x) |
(/.f64 1913510371/448100000 x) |
(/.f64 1913510371/448100000 x) |
(/.f64 1913510371/448100000 x) |
(*.f64 -70711/100000 x) |
(*.f64 -70711/100000 x) |
| Outputs |
|---|
(/.f64 1913510371/448100000 x) |
(/.f64 1913510371/448100000 x) |
(/.f64 1913510371/448100000 x) |
(/.f64 1913510371/448100000 x) |
(/.f64 1913510371/448100000 x) |
(/.f64 1913510371/448100000 x) |
(/.f64 1913510371/448100000 x) |
(/.f64 1913510371/448100000 x) |
(/.f64 1913510371/448100000 x) |
(/.f64 1913510371/448100000 x) |
(/.f64 1913510371/448100000 x) |
(/.f64 1913510371/448100000 x) |
(/.f64 1913510371/448100000 x) |
(*.f64 -70711/100000 x) |
(*.f64 x -70711/100000) |
(*.f64 -70711/100000 x) |
(*.f64 x -70711/100000) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) | |
| 0.1b | (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)) | |
| 0.0b | (+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))) | |
| 0.0b | (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))) | |
| ✓ | 0.1b | (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)) |
| ✓ | 0.3b | (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
| ✓ | 0.3b | (*.f64 -2134856267379707/1000000000000000 x) |
| ✓ | 6.3b | (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
Compiled 68 to 55 computations (19.1% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
| 1.0ms | x | @ | inf | (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
| 0.0ms | x | @ | inf | (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)) |
| 0.0ms | x | @ | inf | (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
| 0.0ms | x | @ | -inf | (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)) |
| 1× | batch-egg-rewrite |
| 532× | log-prod_binary64 |
| 313× | fma-def_binary64 |
| 311× | pow-prod-down_binary64 |
| 310× | pow2_binary64 |
| 217× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 32 |
| 1 | 285 | 32 |
| 2 | 3194 | 32 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(*.f64 -2134856267379707/1000000000000000 x) |
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 4) 18053224252975077806958552638793778685409/10000000000000000000000000000000000000000) (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))) (/.f64 (*.f64 (pow.f64 x 6) 161108753512369826557751680853765787110641919611369/100000000000000000000000000000000000000000000000000) (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))) 1)))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -12692862305735843227608787/10000000000000000000000000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -12692862305735843227608787/10000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -12692862305735843227608787/10000000000000000000000000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -12692862305735843227608787/10000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) 161108753512369826557751680853765787110641919611369/100000000000000000000000000000000000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -12692862305735843227608787/10000000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -12692862305735843227608787/10000000000000000000000000) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 9) -2044931224581246107914844927775375364820044790209597097951575713162209499403/1000000000000000000000000000000000000000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 161108753512369826557751680853765787110641919611369/100000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -12692862305735843227608787/10000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 9) -2044931224581246107914844927775375364820044790209597097951575713162209499403/1000000000000000000000000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -12692862305735843227608787/10000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -12692862305735843227608787/10000000000000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 -12692862305735843227608787/10000000000000000000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 -12692862305735843227608787/10000000000000000000000000) (pow.f64 x 3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 9) -2044931224581246107914844927775375364820044790209597097951575713162209499403/1000000000000000000000000000000000000000000000000000000000000000000000000000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -12692862305735843227608787/10000000000000000000000000)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -12692862305735843227608787/10000000000000000000000000)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))))) |
| 1× | egg-herbie |
| 1272× | sqr-pow_binary64 |
| 566× | pow-sqr_binary64 |
| 563× | cube-prod_binary64 |
| 536× | unswap-sqr_binary64 |
| 532× | fabs-mul_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 21 |
| 1 | 24 | 21 |
| 2 | 53 | 21 |
| 3 | 118 | 21 |
| 4 | 307 | 21 |
| 5 | 1286 | 21 |
| 6 | 2476 | 21 |
| 7 | 2642 | 21 |
| 8 | 2892 | 21 |
| 9 | 3179 | 21 |
| 10 | 3558 | 21 |
| 11 | 4057 | 21 |
| 12 | 4662 | 21 |
| 13 | 5368 | 21 |
| 14 | 5835 | 21 |
| 15 | 6154 | 21 |
| 16 | 6428 | 21 |
| 17 | 6598 | 21 |
| 18 | 6688 | 21 |
| 19 | 7365 | 21 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)) |
| Outputs |
|---|
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 x -70711/100000) | |
| 0.1b | (fma.f64 x 4481/100000 99229/100000) | |
| 0.1b | (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) | |
| 0.0b | (-.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) | |
| ✓ | 0.3b | (pow.f64 (*.f64 x -70711/100000) 2) |
| ✓ | 0.7b | (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) |
| 12.9b | (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) | |
| ✓ | 13.5b | (/.f64 (-.f64 (pow.f64 (*.f64 x -70711/100000) 2) (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) (-.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) |
Compiled 131 to 102 computations (22.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 (pow.f64 (*.f64 x -70711/100000) 2) (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) (-.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 (pow.f64 (*.f64 x -70711/100000) 2) (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) (-.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 (pow.f64 (*.f64 x -70711/100000) 2) (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) (-.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) |
| 0.0ms | x | @ | -inf | (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) |
| 1× | batch-egg-rewrite |
| 586× | fma-def_binary64 |
| 349× | expm1-udef_binary64 |
| 349× | log1p-udef_binary64 |
| 333× | fma-neg_binary64 |
| 273× | log-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 78 |
| 1 | 427 | 46 |
| 2 | 5543 | 46 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (pow.f64 (*.f64 x -70711/100000) 2) (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) (-.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) |
(pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) |
(pow.f64 (*.f64 x -70711/100000) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 5000045521/10000000000 (*.f64 x x)) (-.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) (neg.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (-.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 5000045521/10000000000 (*.f64 x x)) (-.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) (/.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (-.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 5000045521/10000000000 (*.f64 x x)) (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 5000045521/10000000000 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 -70711/100000 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -70711/100000 (*.f64 x (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -70711/100000) (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 5000045521/10000000000 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 5000045521/10000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5000045521/10000000000 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x -70711/100000) 4)) (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2) (cbrt.f64 (pow.f64 (*.f64 x -70711/100000) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2) (*.f64 (cbrt.f64 (*.f64 x -70711/100000)) (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x -70711/100000)) (*.f64 (sqrt.f64 (*.f64 x -70711/100000)) (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 5000045521/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x -70711/100000) (sqrt.f64 (*.f64 x -70711/100000))) (sqrt.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x -70711/100000) x) -70711/100000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x -70711/100000) -70711/100000) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x -70711/100000) (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2)) (cbrt.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x -70711/100000) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 5000045521/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 5000045521/10000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -70711/100000) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 5000045521/10000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x -70711/100000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 5000045521/10000000000 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 726× | times-frac_binary64 |
| 590× | fma-def_binary64 |
| 476× | associate-/l/_binary64 |
| 423× | associate-*r/_binary64 |
| 422× | associate-*l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 454 |
| 1 | 178 | 436 |
| 2 | 438 | 432 |
| 3 | 1175 | 420 |
| 4 | 3375 | 420 |
| 1× | node limit |
| Inputs |
|---|
16316775383/10000000000 |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)))) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))) |
(*.f64 -70711/100000 x) |
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(*.f64 -70711/100000 x) |
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
266237158899274796689/100000000000000000000 |
(+.f64 266237158899274796689/100000000000000000000 (*.f64 -23296215148751339091352781/5000000000000000000000000 x)) |
(+.f64 (*.f64 6423177928202048973350723817547/1000000000000000000000000000000 (pow.f64 x 2)) (+.f64 266237158899274796689/100000000000000000000 (*.f64 -23296215148751339091352781/5000000000000000000000000 x))) |
(+.f64 (*.f64 6423177928202048973350723817547/1000000000000000000000000000000 (pow.f64 x 2)) (+.f64 266237158899274796689/100000000000000000000 (+.f64 (*.f64 -199470918701527732979559554258490421/25000000000000000000000000000000000 (pow.f64 x 3)) (*.f64 -23296215148751339091352781/5000000000000000000000000 x)))) |
(/.f64 3661521939924557641/200793610000000000 (pow.f64 x 2)) |
(-.f64 (*.f64 3661521939924557641/200793610000000000 (/.f64 1 (pow.f64 x 2))) (*.f64 6981935922227320474533/14058690100156250000 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 213638176952877908899847849/15749247584700039062500 (/.f64 1 (pow.f64 x 4))) (*.f64 3661521939924557641/200793610000000000 (/.f64 1 (pow.f64 x 2)))) (*.f64 6981935922227320474533/14058690100156250000 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 213638176952877908899847849/15749247584700039062500 (/.f64 1 (pow.f64 x 4))) (*.f64 3661521939924557641/200793610000000000 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 6981935922227320474533/14058690100156250000 (/.f64 1 (pow.f64 x 3))) (*.f64 4983822945651059617524756100597/14114475685408175007812500 (/.f64 1 (pow.f64 x 5))))) |
(/.f64 3661521939924557641/200793610000000000 (pow.f64 x 2)) |
(-.f64 (*.f64 3661521939924557641/200793610000000000 (/.f64 1 (pow.f64 x 2))) (*.f64 6981935922227320474533/14058690100156250000 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 213638176952877908899847849/15749247584700039062500 (/.f64 1 (pow.f64 x 4))) (*.f64 3661521939924557641/200793610000000000 (/.f64 1 (pow.f64 x 2)))) (*.f64 6981935922227320474533/14058690100156250000 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 213638176952877908899847849/15749247584700039062500 (/.f64 1 (pow.f64 x 4))) (*.f64 3661521939924557641/200793610000000000 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 6981935922227320474533/14058690100156250000 (/.f64 1 (pow.f64 x 3))) (*.f64 4983822945651059617524756100597/14114475685408175007812500 (/.f64 1 (pow.f64 x 5))))) |
(*.f64 5000045521/10000000000 (pow.f64 x 2)) |
(*.f64 5000045521/10000000000 (pow.f64 x 2)) |
(*.f64 5000045521/10000000000 (pow.f64 x 2)) |
(*.f64 5000045521/10000000000 (pow.f64 x 2)) |
(*.f64 5000045521/10000000000 (pow.f64 x 2)) |
(*.f64 5000045521/10000000000 (pow.f64 x 2)) |
(*.f64 5000045521/10000000000 (pow.f64 x 2)) |
(*.f64 5000045521/10000000000 (pow.f64 x 2)) |
(*.f64 5000045521/10000000000 (pow.f64 x 2)) |
(*.f64 5000045521/10000000000 (pow.f64 x 2)) |
(*.f64 5000045521/10000000000 (pow.f64 x 2)) |
(*.f64 5000045521/10000000000 (pow.f64 x 2)) |
| Outputs |
|---|
16316775383/10000000000 |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) |
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))) |
(fma.f64 -2134856267379707/1000000000000000 x (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000)) |
(fma.f64 -2134856267379707/1000000000000000 x (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) 16316775383/10000000000)) |
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -2134856267379707/1000000000000000) 16316775383/10000000000) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))) |
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))) |
(+.f64 (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (*.f64 x (*.f64 x 134362287316698645903/100000000000000000000))) (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)) |
(fma.f64 -2134856267379707/1000000000000000 x (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000))) |
(fma.f64 -2134856267379707/1000000000000000 x (fma.f64 (*.f64 x x) (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) 16316775383/10000000000)) |
(fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -2134856267379707/1000000000000000) 16316775383/10000000000)) |
(*.f64 -70711/100000 x) |
(*.f64 x -70711/100000) |
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
(+.f64 (*.f64 x -70711/100000) (/.f64 1913510371/448100000 x)) |
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) |
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x)))) |
(-.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 (/.f64 3648757816023/62748003125 x) x)) |
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x))) |
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x))))) |
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 (/.f64 3648757816023/62748003125 x) x))) |
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x)))) |
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))) |
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 335267464412236892/281173802003125 x) 3648757816023/62748003125))) |
(*.f64 -70711/100000 x) |
(*.f64 x -70711/100000) |
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
(+.f64 (*.f64 x -70711/100000) (/.f64 1913510371/448100000 x)) |
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) |
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x)))) |
(-.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 (/.f64 3648757816023/62748003125 x) x)) |
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x))) |
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x))))) |
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 (/.f64 3648757816023/62748003125 x) x))) |
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x)))) |
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))) |
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 335267464412236892/281173802003125 x) 3648757816023/62748003125))) |
266237158899274796689/100000000000000000000 |
(+.f64 266237158899274796689/100000000000000000000 (*.f64 -23296215148751339091352781/5000000000000000000000000 x)) |
(+.f64 266237158899274796689/100000000000000000000 (*.f64 x -23296215148751339091352781/5000000000000000000000000)) |
(fma.f64 x -23296215148751339091352781/5000000000000000000000000 266237158899274796689/100000000000000000000) |
(+.f64 (*.f64 6423177928202048973350723817547/1000000000000000000000000000000 (pow.f64 x 2)) (+.f64 266237158899274796689/100000000000000000000 (*.f64 -23296215148751339091352781/5000000000000000000000000 x))) |
(fma.f64 6423177928202048973350723817547/1000000000000000000000000000000 (*.f64 x x) (+.f64 266237158899274796689/100000000000000000000 (*.f64 x -23296215148751339091352781/5000000000000000000000000))) |
(fma.f64 (*.f64 x x) 6423177928202048973350723817547/1000000000000000000000000000000 (fma.f64 x -23296215148751339091352781/5000000000000000000000000 266237158899274796689/100000000000000000000)) |
(fma.f64 x -23296215148751339091352781/5000000000000000000000000 (fma.f64 x (*.f64 x 6423177928202048973350723817547/1000000000000000000000000000000) 266237158899274796689/100000000000000000000)) |
(fma.f64 x (fma.f64 x 6423177928202048973350723817547/1000000000000000000000000000000 -23296215148751339091352781/5000000000000000000000000) 266237158899274796689/100000000000000000000) |
(+.f64 (*.f64 6423177928202048973350723817547/1000000000000000000000000000000 (pow.f64 x 2)) (+.f64 266237158899274796689/100000000000000000000 (+.f64 (*.f64 -199470918701527732979559554258490421/25000000000000000000000000000000000 (pow.f64 x 3)) (*.f64 -23296215148751339091352781/5000000000000000000000000 x)))) |
(fma.f64 6423177928202048973350723817547/1000000000000000000000000000000 (*.f64 x x) (+.f64 266237158899274796689/100000000000000000000 (fma.f64 -199470918701527732979559554258490421/25000000000000000000000000000000000 (pow.f64 x 3) (*.f64 x -23296215148751339091352781/5000000000000000000000000)))) |
(+.f64 (fma.f64 (pow.f64 x 3) -199470918701527732979559554258490421/25000000000000000000000000000000000 (*.f64 x -23296215148751339091352781/5000000000000000000000000)) (fma.f64 (*.f64 x x) 6423177928202048973350723817547/1000000000000000000000000000000 266237158899274796689/100000000000000000000)) |
(fma.f64 x (*.f64 x 6423177928202048973350723817547/1000000000000000000000000000000) (fma.f64 (pow.f64 x 3) -199470918701527732979559554258490421/25000000000000000000000000000000000 (fma.f64 x -23296215148751339091352781/5000000000000000000000000 266237158899274796689/100000000000000000000))) |
(fma.f64 x (fma.f64 x 6423177928202048973350723817547/1000000000000000000000000000000 -23296215148751339091352781/5000000000000000000000000) (fma.f64 (pow.f64 x 3) -199470918701527732979559554258490421/25000000000000000000000000000000000 266237158899274796689/100000000000000000000)) |
(fma.f64 (pow.f64 x 3) -199470918701527732979559554258490421/25000000000000000000000000000000000 (fma.f64 x (fma.f64 x 6423177928202048973350723817547/1000000000000000000000000000000 -23296215148751339091352781/5000000000000000000000000) 266237158899274796689/100000000000000000000)) |
(/.f64 3661521939924557641/200793610000000000 (pow.f64 x 2)) |
(/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) |
(/.f64 (/.f64 3661521939924557641/200793610000000000 x) x) |
(-.f64 (*.f64 3661521939924557641/200793610000000000 (/.f64 1 (pow.f64 x 2))) (*.f64 6981935922227320474533/14058690100156250000 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (/.f64 6981935922227320474533/14058690100156250000 (pow.f64 x 3))) |
(+.f64 (/.f64 (/.f64 3661521939924557641/200793610000000000 x) x) (/.f64 -6981935922227320474533/14058690100156250000 (pow.f64 x 3))) |
(+.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (/.f64 -6981935922227320474533/14058690100156250000 (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 213638176952877908899847849/15749247584700039062500 (/.f64 1 (pow.f64 x 4))) (*.f64 3661521939924557641/200793610000000000 (/.f64 1 (pow.f64 x 2)))) (*.f64 6981935922227320474533/14058690100156250000 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 213638176952877908899847849/15749247584700039062500 (pow.f64 x 4)) (-.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (/.f64 6981935922227320474533/14058690100156250000 (pow.f64 x 3)))) |
(+.f64 (/.f64 (/.f64 3661521939924557641/200793610000000000 x) x) (+.f64 (/.f64 213638176952877908899847849/15749247584700039062500 (pow.f64 x 4)) (/.f64 -6981935922227320474533/14058690100156250000 (pow.f64 x 3)))) |
(+.f64 (/.f64 213638176952877908899847849/15749247584700039062500 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 3661521939924557641/200793610000000000 x) x) (/.f64 -6981935922227320474533/14058690100156250000 (pow.f64 x 3)))) |
(-.f64 (/.f64 213638176952877908899847849/15749247584700039062500 (pow.f64 x 4)) (-.f64 (/.f64 6981935922227320474533/14058690100156250000 (pow.f64 x 3)) (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)))) |
(+.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (+.f64 (/.f64 213638176952877908899847849/15749247584700039062500 (pow.f64 x 4)) (/.f64 -6981935922227320474533/14058690100156250000 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 213638176952877908899847849/15749247584700039062500 (/.f64 1 (pow.f64 x 4))) (*.f64 3661521939924557641/200793610000000000 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 6981935922227320474533/14058690100156250000 (/.f64 1 (pow.f64 x 3))) (*.f64 4983822945651059617524756100597/14114475685408175007812500 (/.f64 1 (pow.f64 x 5))))) |
(+.f64 (/.f64 213638176952877908899847849/15749247584700039062500 (pow.f64 x 4)) (-.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (+.f64 (/.f64 6981935922227320474533/14058690100156250000 (pow.f64 x 3)) (/.f64 4983822945651059617524756100597/14114475685408175007812500 (pow.f64 x 5))))) |
(+.f64 (+.f64 (/.f64 (/.f64 3661521939924557641/200793610000000000 x) x) (/.f64 213638176952877908899847849/15749247584700039062500 (pow.f64 x 4))) (-.f64 (/.f64 -6981935922227320474533/14058690100156250000 (pow.f64 x 3)) (/.f64 4983822945651059617524756100597/14114475685408175007812500 (pow.f64 x 5)))) |
(+.f64 (/.f64 213638176952877908899847849/15749247584700039062500 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 (/.f64 3661521939924557641/200793610000000000 x) x) (/.f64 -6981935922227320474533/14058690100156250000 (pow.f64 x 3))) (/.f64 -4983822945651059617524756100597/14114475685408175007812500 (pow.f64 x 5)))) |
(+.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (+.f64 (/.f64 213638176952877908899847849/15749247584700039062500 (pow.f64 x 4)) (+.f64 (/.f64 -6981935922227320474533/14058690100156250000 (pow.f64 x 3)) (/.f64 -4983822945651059617524756100597/14114475685408175007812500 (pow.f64 x 5))))) |
(+.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (+.f64 (/.f64 -4983822945651059617524756100597/14114475685408175007812500 (pow.f64 x 5)) (+.f64 (/.f64 213638176952877908899847849/15749247584700039062500 (pow.f64 x 4)) (/.f64 -6981935922227320474533/14058690100156250000 (pow.f64 x 3))))) |
(/.f64 3661521939924557641/200793610000000000 (pow.f64 x 2)) |
(/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) |
(/.f64 (/.f64 3661521939924557641/200793610000000000 x) x) |
(-.f64 (*.f64 3661521939924557641/200793610000000000 (/.f64 1 (pow.f64 x 2))) (*.f64 6981935922227320474533/14058690100156250000 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (/.f64 6981935922227320474533/14058690100156250000 (pow.f64 x 3))) |
(+.f64 (/.f64 (/.f64 3661521939924557641/200793610000000000 x) x) (/.f64 -6981935922227320474533/14058690100156250000 (pow.f64 x 3))) |
(+.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (/.f64 -6981935922227320474533/14058690100156250000 (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 213638176952877908899847849/15749247584700039062500 (/.f64 1 (pow.f64 x 4))) (*.f64 3661521939924557641/200793610000000000 (/.f64 1 (pow.f64 x 2)))) (*.f64 6981935922227320474533/14058690100156250000 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 213638176952877908899847849/15749247584700039062500 (pow.f64 x 4)) (-.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (/.f64 6981935922227320474533/14058690100156250000 (pow.f64 x 3)))) |
(+.f64 (/.f64 (/.f64 3661521939924557641/200793610000000000 x) x) (+.f64 (/.f64 213638176952877908899847849/15749247584700039062500 (pow.f64 x 4)) (/.f64 -6981935922227320474533/14058690100156250000 (pow.f64 x 3)))) |
(+.f64 (/.f64 213638176952877908899847849/15749247584700039062500 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 3661521939924557641/200793610000000000 x) x) (/.f64 -6981935922227320474533/14058690100156250000 (pow.f64 x 3)))) |
(-.f64 (/.f64 213638176952877908899847849/15749247584700039062500 (pow.f64 x 4)) (-.f64 (/.f64 6981935922227320474533/14058690100156250000 (pow.f64 x 3)) (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)))) |
(+.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (+.f64 (/.f64 213638176952877908899847849/15749247584700039062500 (pow.f64 x 4)) (/.f64 -6981935922227320474533/14058690100156250000 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 213638176952877908899847849/15749247584700039062500 (/.f64 1 (pow.f64 x 4))) (*.f64 3661521939924557641/200793610000000000 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 6981935922227320474533/14058690100156250000 (/.f64 1 (pow.f64 x 3))) (*.f64 4983822945651059617524756100597/14114475685408175007812500 (/.f64 1 (pow.f64 x 5))))) |
(+.f64 (/.f64 213638176952877908899847849/15749247584700039062500 (pow.f64 x 4)) (-.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (+.f64 (/.f64 6981935922227320474533/14058690100156250000 (pow.f64 x 3)) (/.f64 4983822945651059617524756100597/14114475685408175007812500 (pow.f64 x 5))))) |
(+.f64 (+.f64 (/.f64 (/.f64 3661521939924557641/200793610000000000 x) x) (/.f64 213638176952877908899847849/15749247584700039062500 (pow.f64 x 4))) (-.f64 (/.f64 -6981935922227320474533/14058690100156250000 (pow.f64 x 3)) (/.f64 4983822945651059617524756100597/14114475685408175007812500 (pow.f64 x 5)))) |
(+.f64 (/.f64 213638176952877908899847849/15749247584700039062500 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 (/.f64 3661521939924557641/200793610000000000 x) x) (/.f64 -6981935922227320474533/14058690100156250000 (pow.f64 x 3))) (/.f64 -4983822945651059617524756100597/14114475685408175007812500 (pow.f64 x 5)))) |
(+.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (+.f64 (/.f64 213638176952877908899847849/15749247584700039062500 (pow.f64 x 4)) (+.f64 (/.f64 -6981935922227320474533/14058690100156250000 (pow.f64 x 3)) (/.f64 -4983822945651059617524756100597/14114475685408175007812500 (pow.f64 x 5))))) |
(+.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (+.f64 (/.f64 -4983822945651059617524756100597/14114475685408175007812500 (pow.f64 x 5)) (+.f64 (/.f64 213638176952877908899847849/15749247584700039062500 (pow.f64 x 4)) (/.f64 -6981935922227320474533/14058690100156250000 (pow.f64 x 3))))) |
(*.f64 5000045521/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 5000045521/10000000000) |
(*.f64 x (*.f64 x 5000045521/10000000000)) |
(*.f64 5000045521/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 5000045521/10000000000) |
(*.f64 x (*.f64 x 5000045521/10000000000)) |
(*.f64 5000045521/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 5000045521/10000000000) |
(*.f64 x (*.f64 x 5000045521/10000000000)) |
(*.f64 5000045521/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 5000045521/10000000000) |
(*.f64 x (*.f64 x 5000045521/10000000000)) |
(*.f64 5000045521/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 5000045521/10000000000) |
(*.f64 x (*.f64 x 5000045521/10000000000)) |
(*.f64 5000045521/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 5000045521/10000000000) |
(*.f64 x (*.f64 x 5000045521/10000000000)) |
(*.f64 5000045521/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 5000045521/10000000000) |
(*.f64 x (*.f64 x 5000045521/10000000000)) |
(*.f64 5000045521/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 5000045521/10000000000) |
(*.f64 x (*.f64 x 5000045521/10000000000)) |
(*.f64 5000045521/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 5000045521/10000000000) |
(*.f64 x (*.f64 x 5000045521/10000000000)) |
(*.f64 5000045521/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 5000045521/10000000000) |
(*.f64 x (*.f64 x 5000045521/10000000000)) |
(*.f64 5000045521/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 5000045521/10000000000) |
(*.f64 x (*.f64 x 5000045521/10000000000)) |
(*.f64 5000045521/10000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 5000045521/10000000000) |
(*.f64 x (*.f64 x 5000045521/10000000000)) |
Compiled 22656 to 17842 computations (21.2% saved)
21 alts after pruning (19 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 746 | 16 | 762 |
| Fresh | 8 | 3 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 2 | 5 |
| Total | 758 | 21 | 779 |
| Status | Error | Program |
|---|---|---|
| 28.8b | 16316775383/10000000000 | |
| 24.3b | (+.f64 (+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 x -70711/100000)) | |
| 13.9b | (fma.f64 (/.f64 (*.f64 x x) 1) (/.f64 5000045521/10000000000 (-.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) (neg.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (-.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) | |
| 13.9b | (/.f64 (-.f64 (*.f64 x (*.f64 x 5000045521/10000000000)) (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) (-.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) | |
| ▶ | 28.6b | (+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (fma.f64 x (*.f64 (*.f64 x x) -12692862305735843227608787/10000000000000000000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))))) |
| 1.1b | (*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 99229/100000 x))) x)) | |
| ✓ | 0.1b | (*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)) |
| 48.2b | (/.f64 (-.f64 (*.f64 5000045521/10000000000 (*.f64 x x)) (*.f64 (pow.f64 x -2) 3661521939924557641/200793610000000000)) (-.f64 (*.f64 x -70711/100000) (/.f64 1913510371/448100000 x))) | |
| ▶ | 47.8b | (pow.f64 (sqrt.f64 (*.f64 -70711/100000 x)) 2) |
| 34.1b | (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) | |
| ▶ | 28.7b | (+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))) |
| 24.3b | (*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)) | |
| 34.6b | (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 3) | |
| ✓ | 34.1b | (*.f64 -70711/100000 x) |
| 35.0b | (*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)) | |
| ▶ | 24.3b | (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) |
| 34.5b | (*.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))) (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))) 2)) | |
| ▶ | 0.1b | (+.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 4481/100000 x) 99229/100000) 1)) (*.f64 x -70711/100000)) |
| 0.1b | (pow.f64 (/.f64 1 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) -1) | |
| 48.0b | (/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 -70711/100000 x)) (+.f64 1 (*.f64 -70711/100000 x))) 1) (+.f64 (+.f64 1 (*.f64 -70711/100000 x)) 1)) | |
| 48.3b | (*.f64 (-.f64 (*.f64 (pow.f64 x -2) 3661521939924557641/200793610000000000) (*.f64 5000045521/10000000000 (*.f64 x x))) (/.f64 1 (+.f64 (/.f64 1913510371/448100000 x) (*.f64 70711/100000 x)))) |
Compiled 674 to 523 computations (22.4% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 x -70711/100000) | |
| 0.1b | (fma.f64 x (+.f64 (*.f64 4481/100000 x) 99229/100000) 1) | |
| 0.0b | (+.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 4481/100000 x) 99229/100000) 1)) (*.f64 x -70711/100000)) | |
| 0.0b | (+.f64 (*.f64 4481/100000 x) 99229/100000) | |
| 0.2b | (*.f64 x -70711/100000) | |
| 0.2b | (fma.f64 x 1913510371/10000000000 16316775383/10000000000) | |
| ✓ | 0.4b | (*.f64 4481/100000 x) |
| ✓ | 12.9b | (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 4481/100000 x) 99229/100000) 1)) |
Compiled 61 to 47 computations (23% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 4481/100000 x) 99229/100000) 1)) |
| 0.0ms | x | @ | inf | (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 4481/100000 x) 99229/100000) 1)) |
| 0.0ms | x | @ | -inf | (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 4481/100000 x) 99229/100000) 1)) |
| 0.0ms | x | @ | inf | (*.f64 4481/100000 x) |
| 0.0ms | x | @ | 0 | (*.f64 4481/100000 x) |
| 1× | batch-egg-rewrite |
| 504× | log-prod_binary64 |
| 406× | exp-prod_binary64 |
| 311× | pow2_binary64 |
| 269× | pow-prod-down_binary64 |
| 217× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 20 |
| 1 | 256 | 20 |
| 2 | 3021 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 4481/100000 x) 99229/100000) 1)) |
(*.f64 4481/100000 x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 1913510371/10000000000 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exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 4481/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 4481/100000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 4481/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 4481/100000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 4481/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 4481/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 4481/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 4481/100000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 4481/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 4481/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 89975616641/1000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x 4481/100000))) 2)) (cbrt.f64 (log.f64 (*.f64 x 4481/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x 4481/100000)))) (sqrt.f64 (log.f64 (*.f64 x 4481/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 4481/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 4481/100000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 4481/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 89975616641/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 4481/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 4481/100000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 4481/100000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x 4481/100000))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 4481/100000)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 4481/100000)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 4481/100000))))))) |
| 1× | egg-herbie |
| 813× | distribute-neg-frac_binary64 |
| 784× | fma-def_binary64 |
| 726× | associate-*l*_binary64 |
| 469× | associate-*r*_binary64 |
| 417× | times-frac_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 181 |
| 1 | 102 | 179 |
| 2 | 246 | 177 |
| 3 | 655 | 171 |
| 4 | 1907 | 168 |
| 5 | 7287 | 168 |
| 1× | node limit |
| Inputs |
|---|
16316775383/10000000000 |
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000) |
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)))) |
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))) |
(/.f64 1913510371/448100000 x) |
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))) |
(/.f64 1913510371/448100000 x) |
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))) |
| Outputs |
|---|
16316775383/10000000000 |
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000) |
(fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) |
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))) |
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000)) |
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) 16316775383/10000000000)) |
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -1427746267379707/1000000000000000) 16316775383/10000000000) |
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))) |
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))) |
(+.f64 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000)) |
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000))) |
(fma.f64 (*.f64 x x) (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000)) |
(fma.f64 x (fma.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) -1427746267379707/1000000000000000) 16316775383/10000000000) |
(/.f64 1913510371/448100000 x) |
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x)) |
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 -3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 (/.f64 -3648757816023/62748003125 x) x))) |
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))) (/.f64 3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))) (/.f64 -3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x)) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))) |
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))) |
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4))))) |
(/.f64 1913510371/448100000 x) |
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x)) |
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 -3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 (/.f64 -3648757816023/62748003125 x) x))) |
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))) (/.f64 3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))) (/.f64 -3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x)) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))) |
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))) |
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 -2134856267379707/1000000000000000 x) | |
| 0.0b | (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) | |
| ✓ | 0.0b | (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) |
| 0.3b | (*.f64 -2134856267379707/1000000000000000 x) |
Compiled 12 to 9 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) |
| 1× | batch-egg-rewrite |
| 642× | pow1_binary64 |
| 607× | add-log-exp_binary64 |
| 607× | log1p-expm1-u_binary64 |
| 607× | expm1-log1p-u_binary64 |
| 598× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 5 |
| 1 | 133 | 5 |
| 2 | 1588 | 5 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 4557611282370415026291715405849/1000000000000000000000000000000) (fma.f64 -2134856267379707/1000000000000000 x -16316775383/10000000000)) (/.f64 266237158899274796689/100000000000000000000 (fma.f64 -2134856267379707/1000000000000000 x -16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)) (pow.f64 (cbrt.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)) 2) (cbrt.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)) (sqrt.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4344131920367546379167405106887/1000000000000000000000000000000 (pow.f64 (*.f64 -2134856267379707/1000000000000000 x) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 4557611282370415026291715405849/1000000000000000000000000000000) (-.f64 266237158899274796689/100000000000000000000 (*.f64 x -34833970189824469091352781/10000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (*.f64 x x) 4557611282370415026291715405849/1000000000000000000000000000000) -266237158899274796689/100000000000000000000) (/.f64 1 (fma.f64 -2134856267379707/1000000000000000 x -16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 4557611282370415026291715405849/1000000000000000000000000000000) (-.f64 266237158899274796689/100000000000000000000 (*.f64 x -34833970189824469091352781/10000000000000000000000000))) (+.f64 4344131920367546379167405106887/1000000000000000000000000000000 (pow.f64 (*.f64 -2134856267379707/1000000000000000 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -2134856267379707/1000000000000000 x -16316775383/10000000000) (+.f64 (*.f64 (*.f64 x x) 4557611282370415026291715405849/1000000000000000000000000000000) -266237158899274796689/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 4344131920367546379167405106887/1000000000000000000000000000000 (pow.f64 (*.f64 -2134856267379707/1000000000000000 x) 3)) (+.f64 (*.f64 (*.f64 x x) 4557611282370415026291715405849/1000000000000000000000000000000) (-.f64 266237158899274796689/100000000000000000000 (*.f64 x -34833970189824469091352781/10000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 4344131920367546379167405106887/1000000000000000000000000000000 (pow.f64 (*.f64 -2134856267379707/1000000000000000 x) 3)) (+.f64 266237158899274796689/100000000000000000000 (-.f64 (*.f64 (*.f64 x x) 4557611282370415026291715405849/1000000000000000000000000000000) (*.f64 x -34833970189824469091352781/10000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 x x) 4557611282370415026291715405849/1000000000000000000000000000000) -266237158899274796689/100000000000000000000) (fma.f64 -2134856267379707/1000000000000000 x -16316775383/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 4344131920367546379167405106887/1000000000000000000000000000000 (pow.f64 (*.f64 -2134856267379707/1000000000000000 x) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 4557611282370415026291715405849/1000000000000000000000000000000) (-.f64 266237158899274796689/100000000000000000000 (*.f64 x -34833970189824469091352781/10000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) 4557611282370415026291715405849/1000000000000000000000000000000) -266237158899274796689/100000000000000000000)) (neg.f64 (fma.f64 -2134856267379707/1000000000000000 x -16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 266237158899274796689/100000000000000000000 (*.f64 (*.f64 x x) 4557611282370415026291715405849/1000000000000000000000000000000)) (-.f64 16316775383/10000000000 (*.f64 -2134856267379707/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -2134856267379707/1000000000000000 x)) 2) (cbrt.f64 (*.f64 -2134856267379707/1000000000000000 x)) 16316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -2134856267379707/1000000000000000 x)) (sqrt.f64 (*.f64 -2134856267379707/1000000000000000 x)) 16316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000))))))) |
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 9 |
| 1 | 6 | 9 |
| 1× | saturated |
| Inputs |
|---|
16316775383/10000000000 |
(*.f64 -2134856267379707/1000000000000000 x) |
(*.f64 -2134856267379707/1000000000000000 x) |
| Outputs |
|---|
16316775383/10000000000 |
(*.f64 -2134856267379707/1000000000000000 x) |
(*.f64 -2134856267379707/1000000000000000 x) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 -2134856267379707/1000000000000000 x) | |
| 0.3b | (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) | |
| 0.0b | (+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))) | |
| 0.0b | (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))) | |
| ✓ | 0.0b | (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))) |
| ✓ | 0.0b | (+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))) |
| ✓ | 0.3b | (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) |
| 0.3b | (*.f64 -2134856267379707/1000000000000000 x) |
Compiled 34 to 20 computations (41.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))) |
| 0.0ms | x | @ | inf | (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))) |
| 1× | batch-egg-rewrite |
| 486× | log-prod_binary64 |
| 425× | fma-def_binary64 |
| 377× | exp-prod_binary64 |
| 323× | pow-prod-down_binary64 |
| 283× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 31 |
| 1 | 228 | 27 |
| 2 | 3012 | 27 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))) |
(+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))) |
| Outputs |
|---|
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#<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 134362287316698645903/100000000000000000000) 16316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 134362287316698645903/100000000000000000000)) (*.f64 x (sqrt.f64 134362287316698645903/100000000000000000000)) 16316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 134362287316698645903/100000000000000000000 x) x 16316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 134362287316698645903/100000000000000000000 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) 16316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 134362287316698645903/100000000000000000000 x) 1) x 16316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 134362287316698645903/100000000000000000000 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 16316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 134362287316698645903/100000000000000000000 x) (sqrt.f64 x)) (sqrt.f64 x) 16316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))))))) |
| 1× | egg-herbie |
| 800× | sqr-pow_binary64 |
| 540× | cube-prod_binary64 |
| 535× | associate-*l*_binary64 |
| 532× | fabs-mul_binary64 |
| 513× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 315 |
| 1 | 28 | 285 |
| 2 | 49 | 283 |
| 3 | 94 | 261 |
| 4 | 207 | 261 |
| 5 | 519 | 261 |
| 6 | 1801 | 261 |
| 7 | 3132 | 261 |
| 8 | 3338 | 261 |
| 9 | 3551 | 261 |
| 10 | 3771 | 261 |
| 11 | 4079 | 261 |
| 12 | 4479 | 261 |
| 13 | 4987 | 261 |
| 14 | 5551 | 261 |
| 15 | 6237 | 261 |
| 16 | 7074 | 261 |
| 17 | 7464 | 261 |
| 18 | 7754 | 261 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
16316775383/10000000000 |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)))) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)))) |
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)))) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)))) |
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)))) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)))) |
16316775383/10000000000 |
(+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) |
(+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) |
(+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) |
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) |
(+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) |
(+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) |
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) |
(+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) |
(+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) |
| Outputs |
|---|
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) |
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) |
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) |
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) |
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) |
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) |
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) |
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) |
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) |
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) |
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) |
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) |
16316775383/10000000000 |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) |
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) |
(fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))) |
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000)) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)) |
(fma.f64 x (fma.f64 134362287316698645903/100000000000000000000 x -2134856267379707/1000000000000000) 16316775383/10000000000) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))) |
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000)) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)) |
(fma.f64 x (fma.f64 134362287316698645903/100000000000000000000 x -2134856267379707/1000000000000000) 16316775383/10000000000) |
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) |
(fma.f64 -2134856267379707/1000000000000000 x (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 x -2134856267379707/1000000000000000)) |
(*.f64 x (+.f64 (*.f64 134362287316698645903/100000000000000000000 x) -2134856267379707/1000000000000000)) |
(*.f64 x (fma.f64 134362287316698645903/100000000000000000000 x -2134856267379707/1000000000000000)) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))) |
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000)) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)) |
(fma.f64 x (fma.f64 134362287316698645903/100000000000000000000 x -2134856267379707/1000000000000000) 16316775383/10000000000) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))) |
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000)) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)) |
(fma.f64 x (fma.f64 134362287316698645903/100000000000000000000 x -2134856267379707/1000000000000000) 16316775383/10000000000) |
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) |
(fma.f64 -2134856267379707/1000000000000000 x (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 x -2134856267379707/1000000000000000)) |
(*.f64 x (+.f64 (*.f64 134362287316698645903/100000000000000000000 x) -2134856267379707/1000000000000000)) |
(*.f64 x (fma.f64 134362287316698645903/100000000000000000000 x -2134856267379707/1000000000000000)) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))) |
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000)) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)) |
(fma.f64 x (fma.f64 134362287316698645903/100000000000000000000 x -2134856267379707/1000000000000000) 16316775383/10000000000) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))) |
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000)) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)) |
(fma.f64 x (fma.f64 134362287316698645903/100000000000000000000 x -2134856267379707/1000000000000000) 16316775383/10000000000) |
16316775383/10000000000 |
(+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) 16316775383/10000000000) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000) |
(fma.f64 x (*.f64 134362287316698645903/100000000000000000000 x) 16316775383/10000000000) |
(+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) 16316775383/10000000000) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000) |
(fma.f64 x (*.f64 134362287316698645903/100000000000000000000 x) 16316775383/10000000000) |
(+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) 16316775383/10000000000) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000) |
(fma.f64 x (*.f64 134362287316698645903/100000000000000000000 x) 16316775383/10000000000) |
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) |
(+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) 16316775383/10000000000) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000) |
(fma.f64 x (*.f64 134362287316698645903/100000000000000000000 x) 16316775383/10000000000) |
(+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) 16316775383/10000000000) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000) |
(fma.f64 x (*.f64 134362287316698645903/100000000000000000000 x) 16316775383/10000000000) |
(+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) 16316775383/10000000000) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000) |
(fma.f64 x (*.f64 134362287316698645903/100000000000000000000 x) 16316775383/10000000000) |
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) |
(+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) 16316775383/10000000000) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000) |
(fma.f64 x (*.f64 134362287316698645903/100000000000000000000 x) 16316775383/10000000000) |
(+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) 16316775383/10000000000) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000) |
(fma.f64 x (*.f64 134362287316698645903/100000000000000000000 x) 16316775383/10000000000) |
(+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) 16316775383/10000000000) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000) |
(fma.f64 x (*.f64 134362287316698645903/100000000000000000000 x) 16316775383/10000000000) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) | |
| 0.1b | (*.f64 (*.f64 x x) -12692862305735843227608787/10000000000000000000000000) | |
| 0.0b | (+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (fma.f64 x (*.f64 (*.f64 x x) -12692862305735843227608787/10000000000000000000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))))) | |
| 0.0b | (+.f64 16316775383/10000000000 (fma.f64 x (*.f64 (*.f64 x x) -12692862305735843227608787/10000000000000000000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))) | |
| ✓ | 0.1b | (*.f64 (*.f64 x x) -12692862305735843227608787/10000000000000000000000000) |
| 0.3b | (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) | |
| 0.3b | (*.f64 -2134856267379707/1000000000000000 x) | |
| ✓ | 6.3b | (fma.f64 x (*.f64 (*.f64 x x) -12692862305735843227608787/10000000000000000000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))) |
Compiled 66 to 34 computations (48.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (fma.f64 x (*.f64 (*.f64 x x) -12692862305735843227608787/10000000000000000000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))) |
| 1.0ms | x | @ | 0 | (fma.f64 x (*.f64 (*.f64 x x) -12692862305735843227608787/10000000000000000000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))) |
| 0.0ms | x | @ | -inf | (fma.f64 x (*.f64 (*.f64 x x) -12692862305735843227608787/10000000000000000000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 x x) -12692862305735843227608787/10000000000000000000000000) |
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 x x) -12692862305735843227608787/10000000000000000000000000) |
| 1× | batch-egg-rewrite |
| 734× | pow1_binary64 |
| 683× | add-log-exp_binary64 |
| 683× | log1p-expm1-u_binary64 |
| 683× | expm1-log1p-u_binary64 |
| 669× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 1 | 166 | 23 |
| 2 | 1888 | 23 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 x (*.f64 (*.f64 x x) -12692862305735843227608787/10000000000000000000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))) |
(*.f64 (*.f64 x x) -12692862305735843227608787/10000000000000000000000000) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 134362287316698645903/100000000000000000000) (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000) (*.f64 (*.f64 x x) 134362287316698645903/100000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000) 1) (*.f64 (*.f64 x x) 134362287316698645903/100000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 134362287316698645903/100000000000000000000) (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (*.f64 x x) 134362287316698645903/100000000000000000000) (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (*.f64 x x) 134362287316698645903/100000000000000000000) (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 134362287316698645903/100000000000000000000) (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 134362287316698645903/100000000000000000000) (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 134362287316698645903/100000000000000000000) (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000))) 2) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 134362287316698645903/100000000000000000000) (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 134362287316698645903/100000000000000000000) (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 134362287316698645903/100000000000000000000) (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000) 3) (pow.f64 (*.f64 (*.f64 x x) 134362287316698645903/100000000000000000000) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000) (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000)) (-.f64 (*.f64 18053224252975077806958552638793778685409/10000000000000000000000000000000000000000 (pow.f64 x 4)) (*.f64 (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000) (*.f64 (*.f64 x x) 134362287316698645903/100000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000) (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000)) (*.f64 18053224252975077806958552638793778685409/10000000000000000000000000000000000000000 (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000) (*.f64 (*.f64 x x) 134362287316698645903/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (*.f64 x x) 134362287316698645903/100000000000000000000) (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 (*.f64 x x) 134362287316698645903/100000000000000000000) (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 134362287316698645903/100000000000000000000) (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 134362287316698645903/100000000000000000000) (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 (*.f64 x x) 134362287316698645903/100000000000000000000) (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (*.f64 (*.f64 x x) 134362287316698645903/100000000000000000000) (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 (*.f64 x x) 134362287316698645903/100000000000000000000) (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 (*.f64 x x) 134362287316698645903/100000000000000000000) (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 (*.f64 x x) 134362287316698645903/100000000000000000000) (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 (*.f64 x x) 134362287316698645903/100000000000000000000) (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) -12692862305735843227608787/10000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) -12692862305735843227608787/10000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) -12692862305735843227608787/10000000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) -12692862305735843227608787/10000000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -12692862305735843227608787/10000000000000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 161108753512369826557751680853765787110641919611369/100000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -12692862305735843227608787/10000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) -12692862305735843227608787/10000000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) -12692862305735843227608787/10000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) -12692862305735843227608787/10000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) -12692862305735843227608787/10000000000000000000000000))))))) |
| 1× | egg-herbie |
| 969× | sqr-pow_binary64 |
| 536× | unswap-sqr_binary64 |
| 494× | associate-*l*_binary64 |
| 488× | cube-prod_binary64 |
| 483× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 231 |
| 1 | 29 | 231 |
| 2 | 61 | 222 |
| 3 | 156 | 204 |
| 4 | 418 | 204 |
| 5 | 1622 | 204 |
| 6 | 3308 | 204 |
| 7 | 3626 | 204 |
| 8 | 3876 | 204 |
| 9 | 4163 | 204 |
| 10 | 4542 | 204 |
| 11 | 5086 | 204 |
| 12 | 5715 | 204 |
| 13 | 6421 | 204 |
| 14 | 6890 | 204 |
| 15 | 7213 | 204 |
| 16 | 7483 | 204 |
| 17 | 7655 | 204 |
| 18 | 7749 | 204 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) |
| Outputs |
|---|
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))) |
(*.f64 (*.f64 x x) (+.f64 134362287316698645903/100000000000000000000 (*.f64 x -12692862305735843227608787/10000000000000000000000000))) |
(*.f64 (*.f64 x x) (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) |
(*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))) |
(*.f64 (*.f64 x x) (+.f64 134362287316698645903/100000000000000000000 (*.f64 x -12692862305735843227608787/10000000000000000000000000))) |
(*.f64 (*.f64 x x) (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) |
(*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))) |
(*.f64 (*.f64 x x) (+.f64 134362287316698645903/100000000000000000000 (*.f64 x -12692862305735843227608787/10000000000000000000000000))) |
(*.f64 (*.f64 x x) (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) |
(*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))) |
(*.f64 (*.f64 x x) (+.f64 134362287316698645903/100000000000000000000 (*.f64 x -12692862305735843227608787/10000000000000000000000000))) |
(*.f64 (*.f64 x x) (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) |
(*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))) |
(*.f64 (*.f64 x x) (+.f64 134362287316698645903/100000000000000000000 (*.f64 x -12692862305735843227608787/10000000000000000000000000))) |
(*.f64 (*.f64 x x) (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) |
(*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))) |
(*.f64 (*.f64 x x) (+.f64 134362287316698645903/100000000000000000000 (*.f64 x -12692862305735843227608787/10000000000000000000000000))) |
(*.f64 (*.f64 x x) (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) |
(*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))) |
(*.f64 (*.f64 x x) (+.f64 134362287316698645903/100000000000000000000 (*.f64 x -12692862305735843227608787/10000000000000000000000000))) |
(*.f64 (*.f64 x x) (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) |
(*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))) |
(*.f64 (*.f64 x x) (+.f64 134362287316698645903/100000000000000000000 (*.f64 x -12692862305735843227608787/10000000000000000000000000))) |
(*.f64 (*.f64 x x) (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) |
(*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))) |
(*.f64 (*.f64 x x) (+.f64 134362287316698645903/100000000000000000000 (*.f64 x -12692862305735843227608787/10000000000000000000000000))) |
(*.f64 (*.f64 x x) (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) |
(*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -12692862305735843227608787/10000000000000000000000000) |
(*.f64 x (*.f64 x -12692862305735843227608787/10000000000000000000000000)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -12692862305735843227608787/10000000000000000000000000) |
(*.f64 x (*.f64 x -12692862305735843227608787/10000000000000000000000000)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -12692862305735843227608787/10000000000000000000000000) |
(*.f64 x (*.f64 x -12692862305735843227608787/10000000000000000000000000)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -12692862305735843227608787/10000000000000000000000000) |
(*.f64 x (*.f64 x -12692862305735843227608787/10000000000000000000000000)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -12692862305735843227608787/10000000000000000000000000) |
(*.f64 x (*.f64 x -12692862305735843227608787/10000000000000000000000000)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -12692862305735843227608787/10000000000000000000000000) |
(*.f64 x (*.f64 x -12692862305735843227608787/10000000000000000000000000)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -12692862305735843227608787/10000000000000000000000000) |
(*.f64 x (*.f64 x -12692862305735843227608787/10000000000000000000000000)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -12692862305735843227608787/10000000000000000000000000) |
(*.f64 x (*.f64 x -12692862305735843227608787/10000000000000000000000000)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -12692862305735843227608787/10000000000000000000000000) |
(*.f64 x (*.f64 x -12692862305735843227608787/10000000000000000000000000)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -12692862305735843227608787/10000000000000000000000000) |
(*.f64 x (*.f64 x -12692862305735843227608787/10000000000000000000000000)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -12692862305735843227608787/10000000000000000000000000) |
(*.f64 x (*.f64 x -12692862305735843227608787/10000000000000000000000000)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) -12692862305735843227608787/10000000000000000000000000) |
(*.f64 x (*.f64 x -12692862305735843227608787/10000000000000000000000000)) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (pow.f64 (sqrt.f64 (*.f64 -70711/100000 x)) 2) | |
| 0.2b | (*.f64 -70711/100000 x) | |
| 0.1b | (sqrt.f64 (*.f64 -70711/100000 x)) | |
| ✓ | 0.1b | (sqrt.f64 (*.f64 -70711/100000 x)) |
| 0.2b | (*.f64 -70711/100000 x) | |
| ✓ | 0.2b | (pow.f64 (sqrt.f64 (*.f64 -70711/100000 x)) 2) |
Compiled 17 to 13 computations (23.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (pow.f64 (sqrt.f64 (*.f64 -70711/100000 x)) 2) |
| 1.0ms | x | @ | -inf | (pow.f64 (sqrt.f64 (*.f64 -70711/100000 x)) 2) |
| 1.0ms | x | @ | inf | (pow.f64 (sqrt.f64 (*.f64 -70711/100000 x)) 2) |
| 1.0ms | x | @ | 0 | (sqrt.f64 (*.f64 -70711/100000 x)) |
| 1.0ms | x | @ | -inf | (sqrt.f64 (*.f64 -70711/100000 x)) |
| 1× | batch-egg-rewrite |
| 497× | pow1_binary64 |
| 488× | add-sqr-sqrt_binary64 |
| 466× | add-log-exp_binary64 |
| 466× | log1p-expm1-u_binary64 |
| 466× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 146 | 10 |
| 2 | 1322 | 10 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sqrt.f64 (*.f64 -70711/100000 x)) 2) |
(sqrt.f64 (*.f64 -70711/100000 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -70711/100000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -70711/100000 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x -70711/100000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -70711/100000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -70711/100000 x)) (sqrt.f64 (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -70711/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -70711/100000 x)) (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -70711/100000 x)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 -70711/100000 x))) (sqrt.f64 (*.f64 -70711/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 2) (cbrt.f64 (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -70711/100000 x) 1/4) (*.f64 (pow.f64 (*.f64 -70711/100000 x) 1/4) (sqrt.f64 (*.f64 -70711/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -70711/100000) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -70711/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 -70711/100000 x)) (pow.f64 (*.f64 -70711/100000 x) 1/4)) (pow.f64 (*.f64 -70711/100000 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 -70711/100000) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -70711/100000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -70711/100000 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 -70711/100000 x)) (cbrt.f64 (*.f64 -70711/100000 x))) (cbrt.f64 (sqrt.f64 (*.f64 -70711/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 -70711/100000 x)) (sqrt.f64 -70711/100000)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 5000045521/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -70711/100000) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -70711/100000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -70711/100000 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 -70711/100000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -70711/100000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 -70711/100000 x))) (cbrt.f64 (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -70711/100000 x)) (cbrt.f64 (sqrt.f64 (*.f64 -70711/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -70711/100000 x) 1/4) (pow.f64 (*.f64 -70711/100000 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -70711/100000) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 -70711/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -70711/100000 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -70711/100000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -70711/100000 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 -70711/100000 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -70711/100000 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 -70711/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -70711/100000 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 -70711/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 -70711/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 -70711/100000 x)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Compiled 9565 to 7096 computations (25.8% saved)
20 alts after pruning (15 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 553 | 5 | 558 |
| Fresh | 4 | 10 | 14 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 4 | 6 |
| Total | 559 | 20 | 579 |
| Status | Error | Program |
|---|---|---|
| 1.1b | (*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 99229/100000 x))) x)) | |
| ✓ | 0.1b | (*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)) |
| 48.2b | (/.f64 (-.f64 (*.f64 5000045521/10000000000 (*.f64 x x)) (*.f64 (pow.f64 x -2) 3661521939924557641/200793610000000000)) (-.f64 (*.f64 x -70711/100000) (/.f64 1913510371/448100000 x))) | |
| ✓ | 47.8b | (pow.f64 (sqrt.f64 (*.f64 -70711/100000 x)) 2) |
| ▶ | 34.1b | (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) |
| ✓ | 28.7b | (+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))) |
| 24.3b | (*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)) | |
| ▶ | 0.1b | (+.f64 (/.f64 (+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x)) (fma.f64 x (+.f64 (*.f64 4481/100000 x) 99229/100000) 1)) (*.f64 x -70711/100000)) |
| ▶ | 34.6b | (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 3) |
| ✓ | 34.1b | (*.f64 -70711/100000 x) |
| ▶ | 28.6b | (+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))))) |
| 52.8b | (pow.f64 (cbrt.f64 (pow.f64 (*.f64 -70711/100000 x) 3/2)) 2) | |
| 48.3b | (*.f64 (-.f64 (*.f64 (pow.f64 x -2) 3661521939924557641/200793610000000000) (*.f64 5000045521/10000000000 (*.f64 x x))) (/.f64 1 (+.f64 (/.f64 1913510371/448100000 x) (*.f64 70711/100000 x)))) | |
| 34.6b | (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -70711/100000)) | |
| ▶ | 35.0b | (*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)) |
| ✓ | 24.3b | (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) |
| 24.3b | (+.f64 (+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 x -70711/100000)) | |
| 28.8b | 16316775383/10000000000 | |
| 0.1b | (pow.f64 (/.f64 1 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) -1) | |
| 48.0b | (/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 -70711/100000 x)) (+.f64 1 (*.f64 -70711/100000 x))) 1) (+.f64 (+.f64 1 (*.f64 -70711/100000 x)) 1)) |
Compiled 455 to 359 computations (21.1% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (fma.f64 x (+.f64 (*.f64 4481/100000 x) 99229/100000) 1) | |
| 0.0b | (+.f64 (/.f64 (+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x)) (fma.f64 x (+.f64 (*.f64 4481/100000 x) 99229/100000) 1)) (*.f64 x -70711/100000)) | |
| 0.0b | (+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x)) | |
| 0.0b | (+.f64 (*.f64 4481/100000 x) 99229/100000) | |
| 0.2b | (*.f64 x -70711/100000) | |
| 0.4b | (*.f64 4481/100000 x) | |
| ✓ | 0.4b | (*.f64 1913510371/10000000000 x) |
| ✓ | 12.9b | (/.f64 (+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x)) (fma.f64 x (+.f64 (*.f64 4481/100000 x) 99229/100000) 1)) |
Compiled 67 to 52 computations (22.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (*.f64 1913510371/10000000000 x) |
| 0.0ms | x | @ | -inf | (*.f64 1913510371/10000000000 x) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x)) (fma.f64 x (+.f64 (*.f64 4481/100000 x) 99229/100000) 1)) |
| 0.0ms | x | @ | 0 | (*.f64 1913510371/10000000000 x) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x)) (fma.f64 x (+.f64 (*.f64 4481/100000 x) 99229/100000) 1)) |
| 1× | batch-egg-rewrite |
| 593× | log-prod_binary64 |
| 353× | pow2_binary64 |
| 296× | prod-diff_binary64 |
| 245× | expm1-udef_binary64 |
| 245× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 22 |
| 1 | 285 | 20 |
| 2 | 3548 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x)) (fma.f64 x (+.f64 (*.f64 4481/100000 x) 99229/100000) 1)) |
(*.f64 1913510371/10000000000 x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 1913510371/10000000000 x 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1913510371/10000000000 x 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1913510371/10000000000 x 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 1913510371/10000000000 x 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 1913510371/10000000000 x 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 1913510371/10000000000 x 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1913510371/10000000000 x 16316775383/10000000000) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 1913510371/10000000000 x 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 1913510371/10000000000 x 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 1913510371/10000000000 x 16316775383/10000000000) 2)) (*.f64 (cbrt.f64 (fma.f64 1913510371/10000000000 x 16316775383/10000000000)) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 1913510371/10000000000 x 16316775383/10000000000) (fma.f64 x 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16316775383/10000000000) 3) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 1913510371/10000000000 x 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 1913510371/10000000000 x 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 1913510371/10000000000 x 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 1913510371/10000000000 x 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1913510371/10000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1913510371/10000000000) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1913510371/10000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1913510371/10000000000) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1913510371/10000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1913510371/10000000000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1913510371/10000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3661521939924557641/100000000000000000000 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1913510371/10000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1913510371/10000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 7006360205689680003640794811/1000000000000000000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 3661521939924557641/100000000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1913510371/10000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1913510371/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 7006360205689680003640794811/1000000000000000000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1913510371/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1913510371/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1913510371/10000000000 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1913510371/10000000000 x))))))) |
| 1× | egg-herbie |
| 813× | distribute-neg-frac_binary64 |
| 784× | fma-def_binary64 |
| 726× | associate-*l*_binary64 |
| 469× | associate-*r*_binary64 |
| 417× | times-frac_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 181 |
| 1 | 102 | 179 |
| 2 | 246 | 177 |
| 3 | 655 | 171 |
| 4 | 1907 | 168 |
| 5 | 7287 | 168 |
| 1× | node limit |
| Inputs |
|---|
16316775383/10000000000 |
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000) |
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)))) |
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))) |
(/.f64 1913510371/448100000 x) |
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))) |
(/.f64 1913510371/448100000 x) |
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))) |
| Outputs |
|---|
16316775383/10000000000 |
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000) |
(fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) |
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))) |
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000)) |
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) 16316775383/10000000000)) |
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -1427746267379707/1000000000000000) 16316775383/10000000000) |
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))) |
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))) |
(+.f64 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000)) |
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000))) |
(fma.f64 (*.f64 x x) (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000)) |
(fma.f64 x (fma.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) -1427746267379707/1000000000000000) 16316775383/10000000000) |
(/.f64 1913510371/448100000 x) |
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x)) |
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 -3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 (/.f64 -3648757816023/62748003125 x) x))) |
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))) (/.f64 3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))) (/.f64 -3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x)) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))) |
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))) |
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4))))) |
(/.f64 1913510371/448100000 x) |
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x)) |
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 -3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 (/.f64 -3648757816023/62748003125 x) x))) |
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))) (/.f64 3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))) (/.f64 -3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x)) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))) |
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))) |
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4))))) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (/.f64 1913510371/448100000 x) | |
| 0.2b | (*.f64 x -70711/100000) | |
| 0.0b | (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) | |
| ✓ | 0.0b | (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) |
| 0.2b | (*.f64 x -70711/100000) | |
| ✓ | 0.2b | (/.f64 1913510371/448100000 x) |
Compiled 17 to 12 computations (29.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 1913510371/448100000 x) |
| 0.0ms | x | @ | -inf | (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) |
| 0.0ms | x | @ | -inf | (/.f64 1913510371/448100000 x) |
| 0.0ms | x | @ | 0 | (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) |
| 0.0ms | x | @ | inf | (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) |
| 1× | batch-egg-rewrite |
| 833× | pow1_binary64 |
| 787× | add-log-exp_binary64 |
| 787× | log1p-expm1-u_binary64 |
| 787× | expm1-log1p-u_binary64 |
| 773× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 14 |
| 1 | 159 | 12 |
| 2 | 2118 | 12 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1913510371/448100000 x) |
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1913510371/448100000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1913510371/448100000 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1913510371/448100000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1913510371/448100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1913510371/448100000 x)) (pow.f64 (cbrt.f64 (/.f64 1913510371/448100000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1913510371/448100000 x)) 2) (cbrt.f64 (/.f64 1913510371/448100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1913510371/448100000 x)) (sqrt.f64 (/.f64 1913510371/448100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1913510371/448100000 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1913510371/448100000)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1913510371/448100000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1913510371/448100000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1913510371/448100000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1913510371/448100000 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 448100000/1913510371) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1913510371/448100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1913510371/448100000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1913510371/448100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1913510371/448100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1913510371/448100000 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 70711/100000 x))) (/.f64 (*.f64 (*.f64 x x) 5000045521/10000000000) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 70711/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))) (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))) 2) (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))) (sqrt.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 1913510371/448100000 x) 3) (*.f64 (pow.f64 x 3) -353558218835431/1000000000000000)) (/.f64 1 (+.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (*.f64 (*.f64 x -70711/100000) (-.f64 (*.f64 x -70711/100000) (/.f64 1913510371/448100000 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (*.f64 (*.f64 x x) 5000045521/10000000000)) (/.f64 1 (+.f64 (/.f64 1913510371/448100000 x) (*.f64 70711/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (*.f64 (*.f64 x -70711/100000) (-.f64 (*.f64 x -70711/100000) (/.f64 1913510371/448100000 x)))) (+.f64 (pow.f64 (/.f64 1913510371/448100000 x) 3) (*.f64 (pow.f64 x 3) -353558218835431/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1913510371/448100000 x) (*.f64 70711/100000 x)) (-.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (*.f64 (*.f64 x x) 5000045521/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 1913510371/448100000 x) 3) (*.f64 (pow.f64 x 3) -353558218835431/1000000000000000)) (+.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (*.f64 (*.f64 x -70711/100000) (-.f64 (*.f64 x -70711/100000) (/.f64 1913510371/448100000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 1913510371/448100000 x) 3) (*.f64 (pow.f64 x 3) -353558218835431/1000000000000000)) (+.f64 (*.f64 (*.f64 x x) 5000045521/10000000000) (-.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (*.f64 (*.f64 (/.f64 1913510371/448100000 x) -70711/100000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (*.f64 (*.f64 x x) 5000045521/10000000000)) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 1913510371/448100000 x) 3) (*.f64 (pow.f64 x 3) -353558218835431/1000000000000000))) (neg.f64 (+.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (*.f64 (*.f64 x -70711/100000) (-.f64 (*.f64 x -70711/100000) (/.f64 1913510371/448100000 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (*.f64 (*.f64 x x) 5000045521/10000000000))) (neg.f64 (+.f64 (/.f64 1913510371/448100000 x) (*.f64 70711/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 5000045521/10000000000) (/.f64 3661521939924557641/200793610000000000 (*.f64 x x))) (-.f64 (*.f64 x -70711/100000) (/.f64 1913510371/448100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1913510371/448100000 (/.f64 1 x) (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -70711/100000 x (/.f64 1913510371/448100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -70711/100000) (/.f64 1913510371/448100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2) (cbrt.f64 (*.f64 x -70711/100000)) (/.f64 1913510371/448100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1913510371/448100000 x)) 2) (cbrt.f64 (/.f64 1913510371/448100000 x)) (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -70711/100000)) (sqrt.f64 (*.f64 x -70711/100000)) (/.f64 1913510371/448100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1913510371/448100000 x)) (sqrt.f64 (/.f64 1913510371/448100000 x)) (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)))))))) |
| 1× | egg-herbie |
| 4× | fma-def_binary64 |
| 2× | *-commutative_binary64 |
| 1× | +-commutative_binary64 |
| 1× | associate-*r/_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 102 |
| 1 | 17 | 84 |
| 2 | 21 | 84 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 1913510371/448100000 x) |
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
(*.f64 -70711/100000 x) |
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
(*.f64 -70711/100000 x) |
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
| Outputs |
|---|
(/.f64 1913510371/448100000 x) |
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) |
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) |
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) |
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) |
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) |
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) |
(*.f64 -70711/100000 x) |
(*.f64 x -70711/100000) |
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) |
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) |
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) |
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) |
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) |
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) |
(*.f64 -70711/100000 x) |
(*.f64 x -70711/100000) |
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) |
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) |
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) |
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) |
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) |
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)) | |
| 0.1b | (/.f64 (/.f64 -1651231776/20079361 x) x) | |
| 0.0b | (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) | |
| 0.0b | (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x) | |
| ✓ | 0.1b | (/.f64 (/.f64 -1651231776/20079361 x) x) |
| ✓ | 0.2b | (*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)) |
| ✓ | 0.3b | (/.f64 27061/4481 x) |
| ✓ | 0.4b | (/.f64 -1651231776/20079361 x) |
Compiled 49 to 33 computations (32.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)) |
| 1.0ms | x | @ | 0 | (/.f64 -1651231776/20079361 x) |
| 0.0ms | x | @ | 0 | (/.f64 27061/4481 x) |
| 0.0ms | x | @ | inf | (/.f64 -1651231776/20079361 x) |
| 0.0ms | x | @ | inf | (*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)) |
| 1× | batch-egg-rewrite |
| 697× | fma-def_binary64 |
| 619× | log-prod_binary64 |
| 357× | fma-neg_binary64 |
| 301× | log-div_binary64 |
| 237× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 34 |
| 1 | 266 | 34 |
| 2 | 4053 | 34 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1651231776/20079361 x) |
(/.f64 27061/4481 x) |
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)) |
(/.f64 (/.f64 -1651231776/20079361 x) x) |
| Outputs |
|---|
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egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1651231776/20079361 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1651231776/20079361 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 751× | times-frac_binary64 |
| 597× | associate-/l/_binary64 |
| 434× | unswap-sqr_binary64 |
| 394× | distribute-neg-frac_binary64 |
| 320× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 230 |
| 1 | 50 | 230 |
| 2 | 92 | 230 |
| 3 | 173 | 230 |
| 4 | 439 | 230 |
| 5 | 1422 | 230 |
| 6 | 5982 | 230 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -3648757816023/62748003125 (pow.f64 x 2)) |
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 -70711/100000 x) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 -70711/100000 x) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(*.f64 -70711/100000 x) |
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(*.f64 -70711/100000 x) |
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
| Outputs |
|---|
(/.f64 -3648757816023/62748003125 (pow.f64 x 2)) |
(/.f64 -3648757816023/62748003125 (*.f64 x x)) |
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x))) |
(-.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 -1913510371/448100000 x)) |
(-.f64 (+.f64 (*.f64 -70711/100000 x) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 -70711/100000 x (/.f64 1913510371/448100000 x)) (/.f64 3648757816023/62748003125 (*.f64 x x))) |
(fma.f64 x -70711/100000 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))) |
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 -70711/100000 x) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 -70711/100000 x (/.f64 1913510371/448100000 x)) (/.f64 3648757816023/62748003125 (*.f64 x x))) |
(fma.f64 x -70711/100000 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))) |
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))) |
(*.f64 -70711/100000 x) |
(*.f64 x -70711/100000) |
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
(fma.f64 -70711/100000 x (/.f64 1913510371/448100000 x)) |
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) |
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 -70711/100000 x (/.f64 1913510371/448100000 x)) (/.f64 3648757816023/62748003125 (*.f64 x x))) |
(fma.f64 x -70711/100000 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))) |
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 -70711/100000 x (/.f64 1913510371/448100000 x)) (/.f64 3648757816023/62748003125 (*.f64 x x))) |
(fma.f64 x -70711/100000 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))) |
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))) |
(*.f64 -70711/100000 x) |
(*.f64 x -70711/100000) |
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) |
(fma.f64 -70711/100000 x (/.f64 1913510371/448100000 x)) |
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) |
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 -70711/100000 x (/.f64 1913510371/448100000 x)) (/.f64 3648757816023/62748003125 (*.f64 x x))) |
(fma.f64 x -70711/100000 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))) |
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 -70711/100000 x (/.f64 1913510371/448100000 x)) (/.f64 3648757816023/62748003125 (*.f64 x x))) |
(fma.f64 x -70711/100000 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))) |
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x))) |
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (*.f64 x x)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (*.f64 x x)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (*.f64 x x)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (*.f64 x x)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (*.f64 x x)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (*.f64 x x)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (*.f64 x x)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (*.f64 x x)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (*.f64 x x)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (*.f64 x x)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (*.f64 x x)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (*.f64 x x)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) | |
| 0.1b | (*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))) | |
| 0.0b | (+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))))) | |
| 0.0b | (+.f64 16316775383/10000000000 (*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)))) | |
| ✓ | 0.1b | (*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))) |
| ✓ | 0.1b | (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) |
| ✓ | 0.3b | (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) |
| 0.3b | (*.f64 -2134856267379707/1000000000000000 x) |
Compiled 51 to 36 computations (29.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) |
| 1.0ms | x | @ | -inf | (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) |
| 1.0ms | x | @ | inf | (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) |
| 0.0ms | x | @ | 0 | (*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))) |
| 0.0ms | x | @ | inf | (*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))) |
| 1× | batch-egg-rewrite |
| 649× | pow1_binary64 |
| 605× | add-log-exp_binary64 |
| 605× | log1p-expm1-u_binary64 |
| 605× | expm1-log1p-u_binary64 |
| 595× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 24 |
| 1 | 143 | 24 |
| 2 | 1616 | 24 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) |
(fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) |
(*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -12692862305735843227608787/10000000000000000000000000) x) (*.f64 134362287316698645903/100000000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -12692862305735843227608787/10000000000000000000000000)) (*.f64 x 134362287316698645903/100000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 134362287316698645903/100000000000000000000 (*.f64 x -12692862305735843227608787/10000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -12692862305735843227608787/10000000000000000000000000) 134362287316698645903/100000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -12692862305735843227608787/10000000000000000000000000) 1) 134362287316698645903/100000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) 2) (cbrt.f64 (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) (sqrt.f64 (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x -12692862305735843227608787/10000000000000000000000000) 3) 2425672504071029683246301507428057477094143947312693723729327/1000000000000000000000000000000000000000000000000000000000000) (+.f64 (*.f64 (*.f64 x -12692862305735843227608787/10000000000000000000000000) (*.f64 x -12692862305735843227608787/10000000000000000000000000)) (-.f64 18053224252975077806958552638793778685409/10000000000000000000000000000000000000000 (*.f64 (*.f64 x -12692862305735843227608787/10000000000000000000000000) 134362287316698645903/100000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x -12692862305735843227608787/10000000000000000000000000) (*.f64 x -12692862305735843227608787/10000000000000000000000000)) 18053224252975077806958552638793778685409/10000000000000000000000000000000000000000) (-.f64 (*.f64 x -12692862305735843227608787/10000000000000000000000000) 134362287316698645903/100000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -12692862305735843227608787/10000000000000000000000000) (*.f64 x x)) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (*.f64 x -12692862305735843227608787/10000000000000000000000000)) (*.f64 (*.f64 x x) 134362287316698645903/100000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))))))))) |
| 1× | egg-herbie |
| 969× | sqr-pow_binary64 |
| 536× | unswap-sqr_binary64 |
| 490× | *-commutative_binary64 |
| 488× | cube-prod_binary64 |
| 485× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 318 |
| 1 | 39 | 318 |
| 2 | 71 | 264 |
| 3 | 143 | 264 |
| 4 | 396 | 264 |
| 5 | 1578 | 264 |
| 6 | 3283 | 264 |
| 7 | 3601 | 264 |
| 8 | 3851 | 264 |
| 9 | 4138 | 264 |
| 10 | 4517 | 264 |
| 11 | 5061 | 264 |
| 12 | 5690 | 264 |
| 13 | 6396 | 264 |
| 14 | 6867 | 264 |
| 15 | 7188 | 264 |
| 16 | 7460 | 264 |
| 17 | 7628 | 264 |
| 18 | 7720 | 264 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 134362287316698645903/100000000000000000000 x) |
(+.f64 (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) (*.f64 134362287316698645903/100000000000000000000 x)) |
(+.f64 (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) (*.f64 134362287316698645903/100000000000000000000 x)) |
(+.f64 (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) (*.f64 134362287316698645903/100000000000000000000 x)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) |
(+.f64 (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) (*.f64 134362287316698645903/100000000000000000000 x)) |
(+.f64 (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) (*.f64 134362287316698645903/100000000000000000000 x)) |
(+.f64 (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) (*.f64 134362287316698645903/100000000000000000000 x)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) |
(+.f64 (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) (*.f64 134362287316698645903/100000000000000000000 x)) |
(+.f64 (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) (*.f64 134362287316698645903/100000000000000000000 x)) |
(+.f64 (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) (*.f64 134362287316698645903/100000000000000000000 x)) |
134362287316698645903/100000000000000000000 |
(+.f64 (*.f64 -12692862305735843227608787/10000000000000000000000000 x) 134362287316698645903/100000000000000000000) |
(+.f64 (*.f64 -12692862305735843227608787/10000000000000000000000000 x) 134362287316698645903/100000000000000000000) |
(+.f64 (*.f64 -12692862305735843227608787/10000000000000000000000000 x) 134362287316698645903/100000000000000000000) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 x) |
(+.f64 134362287316698645903/100000000000000000000 (*.f64 -12692862305735843227608787/10000000000000000000000000 x)) |
(+.f64 134362287316698645903/100000000000000000000 (*.f64 -12692862305735843227608787/10000000000000000000000000 x)) |
(+.f64 134362287316698645903/100000000000000000000 (*.f64 -12692862305735843227608787/10000000000000000000000000 x)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 x) |
(+.f64 134362287316698645903/100000000000000000000 (*.f64 -12692862305735843227608787/10000000000000000000000000 x)) |
(+.f64 134362287316698645903/100000000000000000000 (*.f64 -12692862305735843227608787/10000000000000000000000000 x)) |
(+.f64 134362287316698645903/100000000000000000000 (*.f64 -12692862305735843227608787/10000000000000000000000000 x)) |
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
| Outputs |
|---|
(*.f64 134362287316698645903/100000000000000000000 x) |
(+.f64 (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) (*.f64 134362287316698645903/100000000000000000000 x)) |
(fma.f64 -12692862305735843227608787/10000000000000000000000000 (*.f64 x x) (*.f64 134362287316698645903/100000000000000000000 x)) |
(*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) |
(+.f64 (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) (*.f64 134362287316698645903/100000000000000000000 x)) |
(fma.f64 -12692862305735843227608787/10000000000000000000000000 (*.f64 x x) (*.f64 134362287316698645903/100000000000000000000 x)) |
(*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) |
(+.f64 (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) (*.f64 134362287316698645903/100000000000000000000 x)) |
(fma.f64 -12692862305735843227608787/10000000000000000000000000 (*.f64 x x) (*.f64 134362287316698645903/100000000000000000000 x)) |
(*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (*.f64 x x)) |
(*.f64 x (*.f64 x -12692862305735843227608787/10000000000000000000000000)) |
(+.f64 (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) (*.f64 134362287316698645903/100000000000000000000 x)) |
(fma.f64 -12692862305735843227608787/10000000000000000000000000 (*.f64 x x) (*.f64 134362287316698645903/100000000000000000000 x)) |
(*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) |
(+.f64 (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) (*.f64 134362287316698645903/100000000000000000000 x)) |
(fma.f64 -12692862305735843227608787/10000000000000000000000000 (*.f64 x x) (*.f64 134362287316698645903/100000000000000000000 x)) |
(*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) |
(+.f64 (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) (*.f64 134362287316698645903/100000000000000000000 x)) |
(fma.f64 -12692862305735843227608787/10000000000000000000000000 (*.f64 x x) (*.f64 134362287316698645903/100000000000000000000 x)) |
(*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (*.f64 x x)) |
(*.f64 x (*.f64 x -12692862305735843227608787/10000000000000000000000000)) |
(+.f64 (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) (*.f64 134362287316698645903/100000000000000000000 x)) |
(fma.f64 -12692862305735843227608787/10000000000000000000000000 (*.f64 x x) (*.f64 134362287316698645903/100000000000000000000 x)) |
(*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) |
(+.f64 (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) (*.f64 134362287316698645903/100000000000000000000 x)) |
(fma.f64 -12692862305735843227608787/10000000000000000000000000 (*.f64 x x) (*.f64 134362287316698645903/100000000000000000000 x)) |
(*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) |
(+.f64 (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 2)) (*.f64 134362287316698645903/100000000000000000000 x)) |
(fma.f64 -12692862305735843227608787/10000000000000000000000000 (*.f64 x x) (*.f64 134362287316698645903/100000000000000000000 x)) |
(*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) |
134362287316698645903/100000000000000000000 |
(+.f64 (*.f64 -12692862305735843227608787/10000000000000000000000000 x) 134362287316698645903/100000000000000000000) |
(fma.f64 -12692862305735843227608787/10000000000000000000000000 x 134362287316698645903/100000000000000000000) |
(fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) |
(+.f64 (*.f64 -12692862305735843227608787/10000000000000000000000000 x) 134362287316698645903/100000000000000000000) |
(fma.f64 -12692862305735843227608787/10000000000000000000000000 x 134362287316698645903/100000000000000000000) |
(fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) |
(+.f64 (*.f64 -12692862305735843227608787/10000000000000000000000000 x) 134362287316698645903/100000000000000000000) |
(fma.f64 -12692862305735843227608787/10000000000000000000000000 x 134362287316698645903/100000000000000000000) |
(fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 x) |
(*.f64 x -12692862305735843227608787/10000000000000000000000000) |
(+.f64 134362287316698645903/100000000000000000000 (*.f64 -12692862305735843227608787/10000000000000000000000000 x)) |
(fma.f64 -12692862305735843227608787/10000000000000000000000000 x 134362287316698645903/100000000000000000000) |
(fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) |
(+.f64 134362287316698645903/100000000000000000000 (*.f64 -12692862305735843227608787/10000000000000000000000000 x)) |
(fma.f64 -12692862305735843227608787/10000000000000000000000000 x 134362287316698645903/100000000000000000000) |
(fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) |
(+.f64 134362287316698645903/100000000000000000000 (*.f64 -12692862305735843227608787/10000000000000000000000000 x)) |
(fma.f64 -12692862305735843227608787/10000000000000000000000000 x 134362287316698645903/100000000000000000000) |
(fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 x) |
(*.f64 x -12692862305735843227608787/10000000000000000000000000) |
(+.f64 134362287316698645903/100000000000000000000 (*.f64 -12692862305735843227608787/10000000000000000000000000 x)) |
(fma.f64 -12692862305735843227608787/10000000000000000000000000 x 134362287316698645903/100000000000000000000) |
(fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) |
(+.f64 134362287316698645903/100000000000000000000 (*.f64 -12692862305735843227608787/10000000000000000000000000 x)) |
(fma.f64 -12692862305735843227608787/10000000000000000000000000 x 134362287316698645903/100000000000000000000) |
(fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) |
(+.f64 134362287316698645903/100000000000000000000 (*.f64 -12692862305735843227608787/10000000000000000000000000 x)) |
(fma.f64 -12692862305735843227608787/10000000000000000000000000 x 134362287316698645903/100000000000000000000) |
(fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) |
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) |
(*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(*.f64 (*.f64 x x) (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) |
(*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(*.f64 (*.f64 x x) (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) |
(*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(*.f64 (*.f64 x x) (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) |
(*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(*.f64 (*.f64 x x) (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) |
(*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(*.f64 (*.f64 x x) (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) |
(*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(*.f64 (*.f64 x x) (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) |
(*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))) |
(*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(*.f64 (*.f64 x x) (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) |
(*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(*.f64 (*.f64 x x) (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) |
(*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))) |
(+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) |
(*.f64 (*.f64 x x) (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) |
(*.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000))) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.7b | (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 3) | |
| 0.6b | (cbrt.f64 (*.f64 -70711/100000 x)) | |
| 0.2b | (*.f64 -70711/100000 x) | |
| 0.2b | (*.f64 -70711/100000 x) | |
| ✓ | 0.6b | (cbrt.f64 (*.f64 -70711/100000 x)) |
| ✓ | 0.7b | (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 3) |
Compiled 17 to 13 computations (23.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | -inf | (cbrt.f64 (*.f64 -70711/100000 x)) |
| 2.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 3) |
| 2.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 3) |
| 1.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 3) |
| 1.0ms | x | @ | 0 | (cbrt.f64 (*.f64 -70711/100000 x)) |
| 1× | batch-egg-rewrite |
| 522× | pow1_binary64 |
| 518× | add-sqr-sqrt_binary64 |
| 497× | add-log-exp_binary64 |
| 497× | log1p-expm1-u_binary64 |
| 497× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 149 | 10 |
| 2 | 1400 | 10 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 3) |
(cbrt.f64 (*.f64 -70711/100000 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -70711/100000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -70711/100000 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x -70711/100000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -70711/100000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -70711/100000 x)) (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -70711/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 2) (cbrt.f64 (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 -70711/100000 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 -70711/100000 x))) (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -70711/100000) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -70711/100000 x) 1/6) (*.f64 (pow.f64 (*.f64 -70711/100000 x) 1/6) (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -70711/100000 x)) (sqrt.f64 (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 -70711/100000 x))) 2) 3) (cbrt.f64 (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 -70711/100000) 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 -70711/100000 x) 1/6) 3) (pow.f64 (pow.f64 (*.f64 -70711/100000 x) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -70711/100000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -70711/100000 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 2) 1) (cbrt.f64 (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 -70711/100000 x))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 -70711/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 2) (cbrt.f64 -70711/100000)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 2) (pow.f64 (*.f64 -70711/100000 x) 1/6)) (pow.f64 (*.f64 -70711/100000 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 5000045521/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -70711/100000) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -70711/100000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -70711/100000 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 -70711/100000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 -70711/100000 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 -70711/100000 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 -70711/100000 x))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 -70711/100000 x))) 2) (cbrt.f64 (cbrt.f64 (*.f64 -70711/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -70711/100000) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -70711/100000 x) 1/6) (pow.f64 (*.f64 -70711/100000 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 -70711/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 -70711/100000 x)) 1/3) (pow.f64 (sqrt.f64 (*.f64 -70711/100000 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -70711/100000 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 -70711/100000 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -70711/100000 x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 -70711/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 -70711/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 -70711/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 -70711/100000 x)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Compiled 8313 to 6344 computations (23.7% saved)
20 alts after pruning (12 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 494 | 6 | 500 |
| Fresh | 4 | 6 | 10 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 7 | 9 |
| Total | 500 | 20 | 520 |
| Status | Error | Program |
|---|---|---|
| 28.6b | (+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 x (*.f64 x (+.f64 (*.f64 -12692862305735843227608787/10000000000000000000000000 x) 134362287316698645903/100000000000000000000))))) | |
| 24.3b | (+.f64 (+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 x -70711/100000)) | |
| 1.1b | (*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 99229/100000 x))) x)) | |
| ✓ | 0.1b | (*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)) |
| ✓ | 47.8b | (pow.f64 (sqrt.f64 (*.f64 -70711/100000 x)) 2) |
| ✓ | 34.1b | (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) |
| ✓ | 0.1b | (+.f64 (/.f64 (+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x)) (fma.f64 x (+.f64 (*.f64 4481/100000 x) 99229/100000) 1)) (*.f64 x -70711/100000)) |
| ✓ | 34.6b | (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 3) |
| 24.3b | (*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)) | |
| ✓ | 34.1b | (*.f64 -70711/100000 x) |
| 34.7b | (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 2) (cbrt.f64 -70711/100000)) (cbrt.f64 x)) | |
| 52.8b | (pow.f64 (cbrt.f64 (pow.f64 (*.f64 -70711/100000 x) 3/2)) 2) | |
| ✓ | 35.0b | (*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)) |
| 48.3b | (*.f64 (-.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (*.f64 (*.f64 x x) 5000045521/10000000000)) (/.f64 1 (+.f64 (/.f64 1913510371/448100000 x) (*.f64 70711/100000 x)))) | |
| ✓ | 24.3b | (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) |
| 28.7b | (+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 x (*.f64 x 134362287316698645903/100000000000000000000)))) | |
| 28.8b | 16316775383/10000000000 | |
| 0.1b | (pow.f64 (/.f64 1 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) -1) | |
| 48.2b | (/.f64 (-.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (*.f64 (*.f64 x x) 5000045521/10000000000)) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 70711/100000 x))) | |
| 34.6b | (*.f64 (*.f64 -70711/100000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
Compiled 245 to 189 computations (22.9% saved)
| Inputs |
|---|
16316775383/10000000000 |
(*.f64 -70711/100000 x) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) |
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) |
(*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)) |
(+.f64 (+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 x -70711/100000)) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 x (*.f64 x 134362287316698645903/100000000000000000000)))) |
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)) |
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 99229/100000 x))) x)) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 x (*.f64 x (+.f64 (*.f64 -12692862305735843227608787/10000000000000000000000000 x) 134362287316698645903/100000000000000000000))))) |
(/.f64 (-.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (*.f64 (*.f64 x x) 5000045521/10000000000)) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 70711/100000 x))) |
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)) |
(*.f64 (-.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (*.f64 (*.f64 x x) 5000045521/10000000000)) (/.f64 1 (+.f64 (/.f64 1913510371/448100000 x) (*.f64 70711/100000 x)))) |
(+.f64 (/.f64 (+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x)) (fma.f64 x (+.f64 (*.f64 4481/100000 x) 99229/100000) 1)) (*.f64 x -70711/100000)) |
(pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 3) |
(pow.f64 (sqrt.f64 (*.f64 -70711/100000 x)) 2) |
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 -70711/100000 x) 3/2)) 2) |
(*.f64 (*.f64 -70711/100000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 2) (cbrt.f64 -70711/100000)) (cbrt.f64 x)) |
(pow.f64 (/.f64 1 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) -1) |
| Outputs |
|---|
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)) |
3 calls:
| 11.0ms | x |
| 10.0ms | (*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)) |
| 7.0ms | (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | (*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)) |
| 0.1b | 1 | (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x) |
Compiled 266 to 199 computations (25.2% saved)
| Inputs |
|---|
16316775383/10000000000 |
(*.f64 -70711/100000 x) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) |
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) |
(*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)) |
(+.f64 (+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 x -70711/100000)) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 x (*.f64 x 134362287316698645903/100000000000000000000)))) |
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)) |
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 99229/100000 x))) x)) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 x (*.f64 x (+.f64 (*.f64 -12692862305735843227608787/10000000000000000000000000 x) 134362287316698645903/100000000000000000000))))) |
(/.f64 (-.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) (*.f64 (*.f64 x x) 5000045521/10000000000)) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 70711/100000 x))) |
| Outputs |
|---|
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 99229/100000 x))) x)) |
1 calls:
| 7.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.1b | 1 | x |
Compiled 110 to 80 computations (27.3% saved)
| Inputs |
|---|
16316775383/10000000000 |
(*.f64 -70711/100000 x) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) |
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) |
(*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)) |
(+.f64 (+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 x -70711/100000)) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 x (*.f64 x 134362287316698645903/100000000000000000000)))) |
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)) |
| Outputs |
|---|
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 x (*.f64 x 134362287316698645903/100000000000000000000)))) |
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)) |
1 calls:
| 18.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 3 | x |
Compiled 61 to 45 computations (26.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 30.0ms | 0.39211478482209317 | 244540.51927193906 |
| 30.0ms | -524.5358328543535 | -1.5568591048494463e-5 |
Compiled 24 to 19 computations (20.8% saved)
| Inputs |
|---|
16316775383/10000000000 |
(*.f64 -70711/100000 x) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) |
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) |
(*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)) |
(+.f64 (+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 x -70711/100000)) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 x (*.f64 x 134362287316698645903/100000000000000000000)))) |
| Outputs |
|---|
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 x (*.f64 x 134362287316698645903/100000000000000000000)))) |
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) |
1 calls:
| 18.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 3 | x |
Compiled 48 to 36 computations (25% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 47.0ms | 0.39211478482209317 | 244540.51927193906 |
| 28.0ms | -524.5358328543535 | -1.5568591048494463e-5 |
Compiled 24 to 19 computations (20.8% saved)
| Inputs |
|---|
16316775383/10000000000 |
(*.f64 -70711/100000 x) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) |
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) |
(*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)) |
(+.f64 (+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 x -70711/100000)) |
| Outputs |
|---|
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) |
(*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)) |
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) |
1 calls:
| 39.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 3 | x |
Compiled 37 to 28 computations (24.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 52.0ms | 0.39211478482209317 | 244540.51927193906 |
| 27.0ms | -524.5358328543535 | -1.5568591048494463e-5 |
Compiled 24 to 19 computations (20.8% saved)
| Inputs |
|---|
16316775383/10000000000 |
(*.f64 -70711/100000 x) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) |
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) |
| Outputs |
|---|
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) |
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) |
1 calls:
| 14.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 3 | x |
Compiled 19 to 14 computations (26.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 42.0ms | 0.39211478482209317 | 244540.51927193906 |
| 27.0ms | -524.5358328543535 | -1.5568591048494463e-5 |
Compiled 24 to 19 computations (20.8% saved)
| Inputs |
|---|
16316775383/10000000000 |
(*.f64 -70711/100000 x) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) |
| Outputs |
|---|
(*.f64 -70711/100000 x) |
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) |
(*.f64 -70711/100000 x) |
1 calls:
| 11.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.9b | 3 | x |
Compiled 12 to 9 computations (25% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 0.39211478482209317 | 244540.51927193906 |
| 29.0ms | -524.5358328543535 | -1.5568591048494463e-5 |
Compiled 24 to 19 computations (20.8% saved)
Total -60.5b remaining (-5019.2%)
Threshold costs -60.5b (-5019.2%)
| Inputs |
|---|
16316775383/10000000000 |
(*.f64 -70711/100000 x) |
| Outputs |
|---|
(*.f64 -70711/100000 x) |
16316775383/10000000000 |
(*.f64 -70711/100000 x) |
1 calls:
| 10.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.2b | 3 | x |
Compiled 7 to 5 computations (28.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 40.0ms | 0.39211478482209317 | 244540.51927193906 |
| 29.0ms | -524.5358328543535 | -1.5568591048494463e-5 |
Compiled 24 to 19 computations (20.8% saved)
| 1× | egg-herbie |
| 15× | +-commutative_binary64 |
| 14× | *-commutative_binary64 |
| 5× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 297 |
| 1 | 97 | 297 |
| 2 | 104 | 297 |
| 3 | 106 | 297 |
| 4 | 107 | 297 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)) |
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 99229/100000 x))) x)) |
(if (<=.f64 x -4613865979268241/8796093022208) (*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)) (if (<=.f64 x 7233241083130843136/18446744073709551616) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 x (*.f64 x 134362287316698645903/100000000000000000000)))) (*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)))) |
(if (<=.f64 x -4613865979268241/8796093022208) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) (if (<=.f64 x 7233241083130843136/18446744073709551616) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 x (*.f64 x 134362287316698645903/100000000000000000000)))) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)))) |
(if (<=.f64 x -4613865979268241/8796093022208) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) (if (<=.f64 x 7233241083130843136/18446744073709551616) (*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)))) |
(if (<=.f64 x -4613865979268241/8796093022208) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) (if (<=.f64 x 7233241083130843136/18446744073709551616) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)))) |
(if (<=.f64 x -4613865979268241/8796093022208) (*.f64 -70711/100000 x) (if (<=.f64 x 7233241083130843136/18446744073709551616) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 -70711/100000 x))) |
(if (<=.f64 x -4613865979268241/8796093022208) (*.f64 -70711/100000 x) (if (<=.f64 x 7233241083130843136/18446744073709551616) 16316775383/10000000000 (*.f64 -70711/100000 x))) |
16316775383/10000000000 |
| Outputs |
|---|
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)) |
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 99229/100000 x))) x)) |
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x)) |
(if (<=.f64 x -4613865979268241/8796093022208) (*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)) (if (<=.f64 x 7233241083130843136/18446744073709551616) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 x (*.f64 x 134362287316698645903/100000000000000000000)))) (*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)))) |
(if (<=.f64 x -4613865979268241/8796093022208) (*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)) (if (<=.f64 x 1765927998811241/4503599627370496) (+.f64 (*.f64 x -2134856267379707/1000000000000000) (+.f64 16316775383/10000000000 (*.f64 x (*.f64 x 134362287316698645903/100000000000000000000)))) (*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)))) |
(if (<=.f64 x -4613865979268241/8796093022208) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) (if (<=.f64 x 7233241083130843136/18446744073709551616) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 x (*.f64 x 134362287316698645903/100000000000000000000)))) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)))) |
(if (<=.f64 x -4613865979268241/8796093022208) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) (if (<=.f64 x 1765927998811241/4503599627370496) (+.f64 (*.f64 x -2134856267379707/1000000000000000) (+.f64 16316775383/10000000000 (*.f64 x (*.f64 x 134362287316698645903/100000000000000000000)))) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)))) |
(if (<=.f64 x -4613865979268241/8796093022208) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) (if (<=.f64 x 7233241083130843136/18446744073709551616) (*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)))) |
(if (<=.f64 x -4613865979268241/8796093022208) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) (if (<=.f64 x 1765927998811241/4503599627370496) (*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 x -20191289437/10000000000)) x)) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)))) |
(if (<=.f64 x -4613865979268241/8796093022208) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) (if (<=.f64 x 7233241083130843136/18446744073709551616) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)))) |
(if (<=.f64 x -4613865979268241/8796093022208) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) (if (<=.f64 x 1765927998811241/4503599627370496) (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)))) |
(if (<=.f64 x -4613865979268241/8796093022208) (*.f64 -70711/100000 x) (if (<=.f64 x 7233241083130843136/18446744073709551616) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 -70711/100000 x))) |
(if (<=.f64 x -4613865979268241/8796093022208) (*.f64 x -70711/100000) (if (<=.f64 x 1765927998811241/4503599627370496) (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000) (*.f64 x -70711/100000))) |
(if (<=.f64 x -4613865979268241/8796093022208) (*.f64 -70711/100000 x) (if (<=.f64 x 7233241083130843136/18446744073709551616) 16316775383/10000000000 (*.f64 -70711/100000 x))) |
(if (<=.f64 x -4613865979268241/8796093022208) (*.f64 x -70711/100000) (if (<=.f64 x 1765927998811241/4503599627370496) 16316775383/10000000000 (*.f64 x -70711/100000))) |
16316775383/10000000000 |
| 1× | fuel |
Compiled 420 to 314 computations (25.2% saved)
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