Time bar (total: 4.1s)
| 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 19 to 15 computations (21.1% saved)
| 1.4s | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 1040× | fma-neg_binary64 |
| 807× | times-frac_binary64 |
| 672× | associate-/r/_binary64 |
| 392× | div-sub_binary64 |
| 385× | distribute-rgt-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 25 |
| 1 | 25 | 19 |
| 2 | 45 | 19 |
| 3 | 88 | 19 |
| 4 | 136 | 19 |
| 5 | 213 | 19 |
| 6 | 379 | 19 |
| 7 | 630 | 19 |
| 8 | 1602 | 19 |
| 9 | 3041 | 19 |
| 10 | 6035 | 19 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))) |
| Outputs |
|---|
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))) |
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))))) |
(-.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) |
(+.f64 x (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) |
(-.f64 x (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x -4481/100000 -99229/100000) -1))) |
Compiled 19 to 15 computations (21.1% saved)
| 1× | egg-herbie |
| 1040× | fma-neg_binary64 |
| 807× | times-frac_binary64 |
| 672× | associate-/r/_binary64 |
| 392× | div-sub_binary64 |
| 385× | distribute-rgt-neg-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 25 |
| 1 | 25 | 19 |
| 2 | 45 | 19 |
| 3 | 88 | 19 |
| 4 | 136 | 19 |
| 5 | 213 | 19 |
| 6 | 379 | 19 |
| 7 | 630 | 19 |
| 8 | 1602 | 19 |
| 9 | 3041 | 19 |
| 10 | 6035 | 19 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))) |
| Outputs |
|---|
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))) |
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))))) |
(-.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) |
(+.f64 x (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) |
(-.f64 x (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x -4481/100000 -99229/100000) -1))) |
Compiled 32 to 24 computations (25% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))) |
Compiled 18 to 14 computations (22.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x) |
| ✓ | 0.3b | (*.f64 x 4481/100000) |
| ✓ | 0.4b | (*.f64 x 27061/100000) |
| ✓ | 16.6b | (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))) |
Compiled 71 to 55 computations (22.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x) |
| 1.0ms | x | @ | inf | (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))) |
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))) |
| 1.0ms | x | @ | -inf | (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))) |
| 1.0ms | x | @ | inf | (*.f64 x 27061/100000) |
| 1× | batch-egg-rewrite |
| 676× | log-prod_binary64 |
| 576× | prod-diff_binary64 |
| 427× | fma-def_binary64 |
| 269× | expm1-udef_binary64 |
| 269× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 40 |
| 1 | 312 | 32 |
| 2 | 4079 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))) |
(*.f64 x 27061/100000) |
(*.f64 x 4481/100000) |
(*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.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 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (log.f64 (cbrt.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 +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) (log.f64 (sqrt.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 -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 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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 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(/.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 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 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 +.f64 0 (*.f64 x 27061/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 27061/100000)) (cbrt.f64 (pow.f64 (exp.f64 x) 27061/100000)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 27061/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 27061/100000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 27061/100000))))))) (#(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 expm1.f64 (log1p.f64 (*.f64 x 27061/100000)))))) (#(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 +.f64 0 (*.f64 x 4481/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 4481/100000) x)) (cbrt.f64 (pow.f64 (exp.f64 4481/100000) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4481/100000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4481/100000) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4481/100000) x))))))) (#(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 expm1.f64 (log1p.f64 (*.f64 x 4481/100000)))))) (#(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 +.f64 0 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 99229/100000 x) (*.f64 (*.f64 x 4481/100000) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 4481/100000) x) (*.f64 99229/100000 x))))) (#(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 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x))))))) (#(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 (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 cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 3))))) (#(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))))) (#(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 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 99229/100000 x (*.f64 (*.f64 x 4481/100000) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 4481/100000) x (*.f64 99229/100000 x))))) (#(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 (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 (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 (+.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))))) |
| 1× | egg-herbie |
| 775× | distribute-neg-frac_binary64 |
| 771× | fma-def_binary64 |
| 417× | times-frac_binary64 |
| 376× | distribute-rgt-neg-in_binary64 |
| 352× | 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 | 2069 | 354 |
| 5 | 6004 | 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 -20191289437/10000000000 x (fma.f64 x (*.f64 x 1900161040244073/1000000000000000) 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))))) |
(+.f64 (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (fma.f64 -20191289437/10000000000 x 230753/100000)) (*.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 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) (fma.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3) 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 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))) |
(+.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 (/.f64 -1651231776/20079361 x) x))) |
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) |
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.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 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 (/.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 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 (/.f64 -1651231776/20079361 x) x) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4))))) |
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 -1651231776/20079361 (*.f64 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 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))) |
(+.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 (/.f64 -1651231776/20079361 x) x))) |
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) |
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.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 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 (/.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 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 (/.f64 -1651231776/20079361 x) x) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4))))) |
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 -1651231776/20079361 (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 x 4481/100000))) |
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))) |
(*.f64 x (fma.f64 x 4481/100000 99229/100000)) |
Compiled 2683 to 2087 computations (22.2% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 125 | 5 | 130 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 125 | 6 | 131 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (-.f64 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))))) |
| ▶ | 32.1b | (-.f64 x (/.f64 27061/4481 x)) |
| ✓ | 0.0b | (-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))) |
| ▶ | 1.0b | (-.f64 x 230753/100000) |
| ▶ | 0.6b | (-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000)))) |
| ▶ | 25.8b | (-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))) |
Compiled 140 to 108 computations (22.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.8b | (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) |
| ✓ | 6.7b | (*.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)))) |
| ✓ | 15.5b | (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2)) |
| ✓ | 17.0b | (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) |
Compiled 129 to 102 computations (20.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) |
| 1.0ms | x | @ | -inf | (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) |
| 1.0ms | x | @ | inf | (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) |
| 1.0ms | x | @ | -inf | (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) |
| 1.0ms | x | @ | 0 | (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) |
| 1× | batch-egg-rewrite |
| 673× | log-prod_binary64 |
| 390× | pow2_binary64 |
| 273× | pow1/3_binary64 |
| 273× | log1p-udef_binary64 |
| 272× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 76 |
| 1 | 355 | 58 |
| 2 | 4173 | 58 |
| 1× | node limit |
| Inputs |
|---|
(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)) |
(*.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)))) |
(/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (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 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (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 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 1/6) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (cbrt.f64 (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 (fma.f64 x 4481/100000 99229/100000) 1)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 1/6) (*.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 1/6) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (/.f64 1 (cbrt.f64 (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 (fma.f64 x 4481/100000 99229/100000) 1)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 4))) (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2) (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 4)))) (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 4)))) (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (*.f64 2/3 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (*.f64 2/3 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))))) 1)))))) |
| 1× | egg-herbie |
| 852× | fma-def_binary64 |
| 417× | times-frac_binary64 |
| 407× | *-commutative_binary64 |
| 303× | associate-*l*_binary64 |
| 289× | associate-/l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 312 |
| 1 | 169 | 302 |
| 2 | 452 | 288 |
| 3 | 1345 | 264 |
| 4 | 3787 | 264 |
| 5 | 7632 | 264 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 99229/300000 x)) |
(+.f64 1 (+.f64 (*.f64 99229/300000 x) (*.f64 -8502094441/90000000000 (pow.f64 x 2)))) |
(+.f64 (*.f64 816975620345989/16200000000000000 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 99229/300000 x) (*.f64 -8502094441/90000000000 (pow.f64 x 2))))) |
1 |
(+.f64 1 (*.f64 99229/150000 x)) |
(+.f64 1 (+.f64 (*.f64 99229/150000 x) (*.f64 -7157794441/90000000000 (pow.f64 x 2)))) |
(+.f64 (*.f64 776957556935989/20250000000000000 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 99229/150000 x) (*.f64 -7157794441/90000000000 (pow.f64 x 2))))) |
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))))) |
1 |
(+.f64 1 (*.f64 -99229/150000 x)) |
(+.f64 1 (+.f64 (*.f64 -99229/150000 x) (*.f64 9308674441/18000000000 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 -877002715460989/2025000000000000 (pow.f64 x 3)) (+.f64 (*.f64 -99229/150000 x) (*.f64 9308674441/18000000000 (pow.f64 x 2))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 99229/300000 x)) |
(fma.f64 99229/300000 x 1) |
(+.f64 1 (+.f64 (*.f64 99229/300000 x) (*.f64 -8502094441/90000000000 (pow.f64 x 2)))) |
(+.f64 1 (fma.f64 99229/300000 x (*.f64 -8502094441/90000000000 (*.f64 x x)))) |
(+.f64 (fma.f64 99229/300000 x 1) (*.f64 x (*.f64 x -8502094441/90000000000))) |
(fma.f64 99229/300000 x (fma.f64 -8502094441/90000000000 (*.f64 x x) 1)) |
(fma.f64 x (fma.f64 x -8502094441/90000000000 99229/300000) 1) |
(+.f64 (*.f64 816975620345989/16200000000000000 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 99229/300000 x) (*.f64 -8502094441/90000000000 (pow.f64 x 2))))) |
(fma.f64 816975620345989/16200000000000000 (pow.f64 x 3) (+.f64 1 (fma.f64 99229/300000 x (*.f64 -8502094441/90000000000 (*.f64 x x))))) |
(+.f64 (fma.f64 99229/300000 x (*.f64 x (*.f64 x -8502094441/90000000000))) (fma.f64 816975620345989/16200000000000000 (pow.f64 x 3) 1)) |
(fma.f64 816975620345989/16200000000000000 (pow.f64 x 3) (fma.f64 99229/300000 x (fma.f64 -8502094441/90000000000 (*.f64 x x) 1))) |
(fma.f64 x (fma.f64 x -8502094441/90000000000 99229/300000) (fma.f64 816975620345989/16200000000000000 (pow.f64 x 3) 1)) |
1 |
(+.f64 1 (*.f64 99229/150000 x)) |
(+.f64 1 (*.f64 x 99229/150000)) |
(fma.f64 x 99229/150000 1) |
(+.f64 1 (+.f64 (*.f64 99229/150000 x) (*.f64 -7157794441/90000000000 (pow.f64 x 2)))) |
(+.f64 1 (fma.f64 99229/150000 x (*.f64 (*.f64 x x) -7157794441/90000000000))) |
(+.f64 (fma.f64 x 99229/150000 1) (*.f64 x (*.f64 x -7157794441/90000000000))) |
(fma.f64 x 99229/150000 (fma.f64 x (*.f64 x -7157794441/90000000000) 1)) |
(fma.f64 x (fma.f64 x -7157794441/90000000000 99229/150000) 1) |
(+.f64 (*.f64 776957556935989/20250000000000000 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 99229/150000 x) (*.f64 -7157794441/90000000000 (pow.f64 x 2))))) |
(fma.f64 776957556935989/20250000000000000 (pow.f64 x 3) (+.f64 1 (fma.f64 99229/150000 x (*.f64 (*.f64 x x) -7157794441/90000000000)))) |
(+.f64 (fma.f64 x 99229/150000 (*.f64 x (*.f64 x -7157794441/90000000000))) (fma.f64 (pow.f64 x 3) 776957556935989/20250000000000000 1)) |
(fma.f64 (pow.f64 x 3) 776957556935989/20250000000000000 (fma.f64 x 99229/150000 (fma.f64 x (*.f64 x -7157794441/90000000000) 1))) |
(fma.f64 x (fma.f64 x -7157794441/90000000000 99229/150000) (fma.f64 (pow.f64 x 3) 776957556935989/20250000000000000 1)) |
230753/100000 |
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) |
(+.f64 230753/100000 (*.f64 x -20191289437/10000000000)) |
(fma.f64 x -20191289437/10000000000 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 x -20191289437/10000000000))) |
(fma.f64 (*.f64 x x) 1900161040244073/1000000000000000 (fma.f64 x -20191289437/10000000000 230753/100000)) |
(fma.f64 x -20191289437/10000000000 (fma.f64 x (*.f64 x 1900161040244073/1000000000000000) 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 (pow.f64 x 3) -179503363065659419717/100000000000000000000)))) |
(+.f64 (fma.f64 x -20191289437/10000000000 (*.f64 (pow.f64 x 3) -179503363065659419717/100000000000000000000)) (fma.f64 (*.f64 x x) 1900161040244073/1000000000000000 230753/100000)) |
(fma.f64 x (*.f64 x 1900161040244073/1000000000000000) (fma.f64 x -20191289437/10000000000 (fma.f64 (pow.f64 x 3) -179503363065659419717/100000000000000000000 230753/100000))) |
(fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) (fma.f64 (pow.f64 x 3) -179503363065659419717/100000000000000000000 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 (*.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 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 27061/4481 x) (/.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 -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 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 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4)))) |
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 -1651231776/20079361 (*.f64 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 (*.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 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 27061/4481 x) (/.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 -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 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 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4)))) |
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4))))) |
1 |
(+.f64 1 (*.f64 -99229/150000 x)) |
(+.f64 1 (*.f64 x -99229/150000)) |
(fma.f64 x -99229/150000 1) |
(+.f64 1 (+.f64 (*.f64 -99229/150000 x) (*.f64 9308674441/18000000000 (pow.f64 x 2)))) |
(+.f64 1 (fma.f64 -99229/150000 x (*.f64 (*.f64 x x) 9308674441/18000000000))) |
(+.f64 (fma.f64 x -99229/150000 1) (*.f64 x (*.f64 x 9308674441/18000000000))) |
(fma.f64 x -99229/150000 (fma.f64 x (*.f64 x 9308674441/18000000000) 1)) |
(fma.f64 x (fma.f64 x 9308674441/18000000000 -99229/150000) 1) |
(+.f64 1 (+.f64 (*.f64 -877002715460989/2025000000000000 (pow.f64 x 3)) (+.f64 (*.f64 -99229/150000 x) (*.f64 9308674441/18000000000 (pow.f64 x 2))))) |
(+.f64 1 (fma.f64 -877002715460989/2025000000000000 (pow.f64 x 3) (fma.f64 -99229/150000 x (*.f64 (*.f64 x x) 9308674441/18000000000)))) |
(+.f64 1 (fma.f64 (pow.f64 x 3) -877002715460989/2025000000000000 (fma.f64 x -99229/150000 (*.f64 x (*.f64 x 9308674441/18000000000))))) |
(fma.f64 (pow.f64 x 3) -877002715460989/2025000000000000 (fma.f64 x -99229/150000 (fma.f64 x (*.f64 x 9308674441/18000000000) 1))) |
(fma.f64 x (*.f64 x (fma.f64 x -877002715460989/2025000000000000 9308674441/18000000000)) (fma.f64 x -99229/150000 1)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x 230753/100000) |
Compiled 6 to 4 computations (33.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 x 230753/100000) |
| 0.0ms | x | @ | inf | (-.f64 x 230753/100000) |
| 0.0ms | x | @ | -inf | (-.f64 x 230753/100000) |
| 1× | batch-egg-rewrite |
| 479× | pow1_binary64 |
| 476× | add-sqr-sqrt_binary64 |
| 453× | add-log-exp_binary64 |
| 453× | log1p-expm1-u_binary64 |
| 453× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 4 |
| 1 | 93 | 4 |
| 2 | 1166 | 4 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x 230753/100000) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -230753/100000 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x -230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x -230753/100000)) (pow.f64 (cbrt.f64 (+.f64 x -230753/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -230753/100000)) 2) (cbrt.f64 (+.f64 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -230753/100000)) (sqrt.f64 (+.f64 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) -12286892763167777/1000000000000000) (/.f64 1 (fma.f64 x x (+.f64 53246947009/10000000000 (*.f64 x 230753/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -53246947009/10000000000) (/.f64 1 (+.f64 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (+.f64 53246947009/10000000000 (*.f64 x 230753/100000))) (+.f64 (pow.f64 x 3) -12286892763167777/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 230753/100000) (fma.f64 x x -53246947009/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) -12286892763167777/1000000000000000) (fma.f64 x x (+.f64 53246947009/10000000000 (*.f64 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) -12286892763167777/1000000000000000) (+.f64 (*.f64 x x) (-.f64 53246947009/10000000000 (*.f64 x -230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -53246947009/10000000000) (+.f64 x 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -53246947009/10000000000) (-.f64 x -230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) -12286892763167777/1000000000000000)) (neg.f64 (fma.f64 x x (+.f64 53246947009/10000000000 (*.f64 x 230753/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -53246947009/10000000000)) (neg.f64 (+.f64 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -230753/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x -230753/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x -230753/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -230753/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -230753/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) -230753/100000))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2 | 3 |
| 1× | saturated |
| Inputs |
|---|
-230753/100000 |
x |
x |
| Outputs |
|---|
-230753/100000 |
x |
x |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (/.f64 27061/4481 x)) |
| ✓ | 0.3b | (/.f64 27061/4481 x) |
Compiled 11 to 7 computations (36.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 27061/4481 x) |
| 0.0ms | x | @ | inf | (/.f64 27061/4481 x) |
| 0.0ms | x | @ | 0 | (-.f64 x (/.f64 27061/4481 x)) |
| 0.0ms | x | @ | -inf | (/.f64 27061/4481 x) |
| 0.0ms | x | @ | inf | (-.f64 x (/.f64 27061/4481 x)) |
| 1× | batch-egg-rewrite |
| 670× | pow1_binary64 |
| 633× | add-log-exp_binary64 |
| 633× | log1p-expm1-u_binary64 |
| 633× | expm1-log1p-u_binary64 |
| 621× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 11 |
| 1 | 119 | 11 |
| 2 | 1690 | 11 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 27061/4481 x) |
(-.f64 x (/.f64 27061/4481 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 27061/4481 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 27061/4481 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 27061/4481 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 27061/4481 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 27061/4481 x)) (pow.f64 (cbrt.f64 (/.f64 27061/4481 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 27061/4481 x)) 2) (cbrt.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 27061/4481 x)) (sqrt.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -27061/4481 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 27061/4481)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 27061/4481 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 27061/4481 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 27061/4481 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 4481/27061) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 732297721/20079361 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 27061/4481 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 -27061/4481 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 -27061/4481 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -27061/4481 x)) (fma.f64 (neg.f64 (/.f64 1 x)) 27061/4481 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -27061/4481 x)) (fma.f64 (/.f64 -27061/4481 x) 1 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -27061/4481 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 27061/4481 x))) (pow.f64 (cbrt.f64 (/.f64 27061/4481 x)) 2) (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -27061/4481 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 27061/4481 x))) (sqrt.f64 (/.f64 27061/4481 x)) (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -27061/4481 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 -27061/4481 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 -27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 -27061/4481 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -27061/4481 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -27061/4481 x))) 2) (cbrt.f64 (+.f64 x (/.f64 -27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 -27061/4481 x))) (sqrt.f64 (+.f64 x (/.f64 -27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (/.f64 19816708627981/89975616641 (pow.f64 x 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 27061/4481 x) (+.f64 x (/.f64 27061/4481 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (/.f64 732297721/20079361 (*.f64 x x))) (/.f64 1 (+.f64 x (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 27061/4481 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 27061/4481 x) (+.f64 x (/.f64 27061/4481 x)))) (-.f64 (pow.f64 x 3) (/.f64 19816708627981/89975616641 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 27061/4481 x)) (-.f64 (*.f64 x x) (/.f64 732297721/20079361 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (/.f64 19816708627981/89975616641 (pow.f64 x 3))) (fma.f64 x x (*.f64 (/.f64 27061/4481 x) (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (/.f64 732297721/20079361 (*.f64 x x))) (+.f64 x (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (/.f64 19816708627981/89975616641 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 27061/4481 x) (+.f64 x (/.f64 27061/4481 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 732297721/20079361 (*.f64 x x)))) (neg.f64 (+.f64 x (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 -27061/4481 x) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 -27061/4481 x) (/.f64 -27061/4481 x)) (*.f64 x (/.f64 -27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 -27061/4481 x) (/.f64 -27061/4481 x))) (-.f64 x (/.f64 -27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 -27061/4481 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 -27061/4481 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 -27061/4481 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (/.f64 -27061/4481 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 -27061/4481 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 -27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 -27061/4481 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 -27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 -27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 -27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 -27061/4481 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -27061/4481 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -27061/4481 x)))))) |
| 1× | egg-herbie |
| 66× | fma-neg_binary64 |
| 65× | fma-def_binary64 |
| 30× | associate-/r*_binary64 |
| 26× | cancel-sign-sub-inv_binary64 |
| 23× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 69 |
| 1 | 19 | 69 |
| 2 | 30 | 69 |
| 3 | 47 | 69 |
| 4 | 63 | 69 |
| 5 | 88 | 69 |
| 6 | 135 | 69 |
| 7 | 188 | 69 |
| 8 | 245 | 69 |
| 9 | 328 | 69 |
| 10 | 461 | 69 |
| 11 | 486 | 69 |
| 12 | 504 | 69 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 -27061/4481 x) |
(-.f64 x (*.f64 27061/4481 (/.f64 1 x))) |
(-.f64 x (*.f64 27061/4481 (/.f64 1 x))) |
(-.f64 x (*.f64 27061/4481 (/.f64 1 x))) |
x |
(-.f64 x (*.f64 27061/4481 (/.f64 1 x))) |
(-.f64 x (*.f64 27061/4481 (/.f64 1 x))) |
(-.f64 x (*.f64 27061/4481 (/.f64 1 x))) |
x |
(-.f64 x (*.f64 27061/4481 (/.f64 1 x))) |
(-.f64 x (*.f64 27061/4481 (/.f64 1 x))) |
(-.f64 x (*.f64 27061/4481 (/.f64 1 x))) |
| Outputs |
|---|
(/.f64 -27061/4481 x) |
(-.f64 x (*.f64 27061/4481 (/.f64 1 x))) |
(-.f64 x (/.f64 27061/4481 x)) |
(+.f64 x (/.f64 -27061/4481 x)) |
(-.f64 x (*.f64 27061/4481 (/.f64 1 x))) |
(-.f64 x (/.f64 27061/4481 x)) |
(+.f64 x (/.f64 -27061/4481 x)) |
(-.f64 x (*.f64 27061/4481 (/.f64 1 x))) |
(-.f64 x (/.f64 27061/4481 x)) |
(+.f64 x (/.f64 -27061/4481 x)) |
x |
(-.f64 x (*.f64 27061/4481 (/.f64 1 x))) |
(-.f64 x (/.f64 27061/4481 x)) |
(+.f64 x (/.f64 -27061/4481 x)) |
(-.f64 x (*.f64 27061/4481 (/.f64 1 x))) |
(-.f64 x (/.f64 27061/4481 x)) |
(+.f64 x (/.f64 -27061/4481 x)) |
(-.f64 x (*.f64 27061/4481 (/.f64 1 x))) |
(-.f64 x (/.f64 27061/4481 x)) |
(+.f64 x (/.f64 -27061/4481 x)) |
x |
(-.f64 x (*.f64 27061/4481 (/.f64 1 x))) |
(-.f64 x (/.f64 27061/4481 x)) |
(+.f64 x (/.f64 -27061/4481 x)) |
(-.f64 x (*.f64 27061/4481 (/.f64 1 x))) |
(-.f64 x (/.f64 27061/4481 x)) |
(+.f64 x (/.f64 -27061/4481 x)) |
(-.f64 x (*.f64 27061/4481 (/.f64 1 x))) |
(-.f64 x (/.f64 27061/4481 x)) |
(+.f64 x (/.f64 -27061/4481 x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) |
| ✓ | 0.1b | (-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))) |
| ✓ | 0.6b | (*.f64 -20191289437/10000000000 x) |
Compiled 19 to 14 computations (26.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 -20191289437/10000000000 x) |
| 0.0ms | x | @ | inf | (*.f64 -20191289437/10000000000 x) |
| 0.0ms | x | @ | -inf | (*.f64 -20191289437/10000000000 x) |
| 0.0ms | x | @ | inf | (-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))) |
| 0.0ms | x | @ | -inf | (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) |
| 1× | batch-egg-rewrite |
| 940× | pow1_binary64 |
| 888× | add-log-exp_binary64 |
| 888× | log1p-expm1-u_binary64 |
| 888× | expm1-log1p-u_binary64 |
| 874× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 21 |
| 1 | 165 | 17 |
| 2 | 2287 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -20191289437/10000000000 x) |
(-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))) |
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -20191289437/10000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -20191289437/10000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -20191289437/10000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -20191289437/10000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -20191289437/10000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -20191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -20191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -20191289437/10000000000 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) (fma.f64 (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 1 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))) (pow.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 2) (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))) (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -230753/100000) (neg.f64 (*.f64 -20191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -230753/100000) (*.f64 20191289437/10000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -230753/100000) (*.f64 (neg.f64 x) -20191289437/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -230753/100000) (*.f64 -1 (*.f64 -20191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -230753/100000) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 -20191289437/10000000000 x)) 2)) (cbrt.f64 (*.f64 -20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -230753/100000) (*.f64 (neg.f64 (sqrt.f64 (*.f64 -20191289437/10000000000 x))) (sqrt.f64 (*.f64 -20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))) (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))) 2) (cbrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))) (sqrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2)) (/.f64 1 (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))) (-.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3)) (fma.f64 x x (*.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2)) (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3))) (neg.f64 (fma.f64 x x (*.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2))) (neg.f64 (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x -230753/100000) 3) (pow.f64 (*.f64 -20191289437/10000000000 x) 3)) (+.f64 (*.f64 (+.f64 x -230753/100000) (+.f64 x -230753/100000)) (+.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (*.f64 (+.f64 x -230753/100000) (*.f64 -20191289437/10000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))) (*.f64 x (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 x -230753/100000) (+.f64 x -230753/100000)) (pow.f64 (*.f64 -20191289437/10000000000 x) 2)) (+.f64 (+.f64 x -230753/100000) (*.f64 -20191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))) (-.f64 x (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -20191289437/10000000000 x 230753/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 53246947009/10000000000 (+.f64 230753/100000 (*.f64 20191289437/10000000000 x))) (/.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (+.f64 230753/100000 (*.f64 20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -20191289437/10000000000 x 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) (pow.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 2) (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 12286892763167777/1000000000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 3)) (/.f64 1 (+.f64 53246947009/10000000000 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (*.f64 -4659200611456061/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 53246947009/10000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 2)) (/.f64 1 (+.f64 230753/100000 (*.f64 20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 53246947009/10000000000 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (*.f64 -4659200611456061/1000000000000000 x))) (+.f64 12286892763167777/1000000000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 230753/100000 (*.f64 20191289437/10000000000 x)) (-.f64 53246947009/10000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 12286892763167777/1000000000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 3)) (+.f64 53246947009/10000000000 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (*.f64 -4659200611456061/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 12286892763167777/1000000000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 3)) (+.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (-.f64 53246947009/10000000000 (*.f64 -4659200611456061/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 53246947009/10000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 2)) (+.f64 230753/100000 (*.f64 20191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 12286892763167777/1000000000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 3))) (neg.f64 (+.f64 53246947009/10000000000 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (*.f64 -4659200611456061/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 53246947009/10000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 2))) (neg.f64 (+.f64 230753/100000 (*.f64 20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) 53246947009/10000000000) (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -20191289437/10000000000 x 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -20191289437/10000000000 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -20191289437/10000000000 x) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -20191289437/10000000000 x)) 2) (cbrt.f64 (*.f64 -20191289437/10000000000 x)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -20191289437/10000000000 x)) (sqrt.f64 (*.f64 -20191289437/10000000000 x)) 230753/100000))))) |
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 2× | fma-neg_binary64 |
| 1× | +-commutative_binary64 |
| 1× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 63 |
| 1 | 14 | 63 |
| 2 | 16 | 63 |
| 1× | saturated |
| Inputs |
|---|
-230753/100000 |
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000) |
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000) |
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000) |
(*.f64 30191289437/10000000000 x) |
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000) |
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000) |
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000) |
(*.f64 30191289437/10000000000 x) |
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000) |
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000) |
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000) |
230753/100000 |
(*.f64 -20191289437/10000000000 x) |
(*.f64 -20191289437/10000000000 x) |
| Outputs |
|---|
-230753/100000 |
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000) |
(fma.f64 30191289437/10000000000 x -230753/100000) |
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000) |
(fma.f64 30191289437/10000000000 x -230753/100000) |
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000) |
(fma.f64 30191289437/10000000000 x -230753/100000) |
(*.f64 30191289437/10000000000 x) |
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000) |
(fma.f64 30191289437/10000000000 x -230753/100000) |
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000) |
(fma.f64 30191289437/10000000000 x -230753/100000) |
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000) |
(fma.f64 30191289437/10000000000 x -230753/100000) |
(*.f64 30191289437/10000000000 x) |
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000) |
(fma.f64 30191289437/10000000000 x -230753/100000) |
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000) |
(fma.f64 30191289437/10000000000 x -230753/100000) |
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000) |
(fma.f64 30191289437/10000000000 x -230753/100000) |
230753/100000 |
(*.f64 -20191289437/10000000000 x) |
(*.f64 x -20191289437/10000000000) |
(*.f64 -20191289437/10000000000 x) |
(*.f64 x -20191289437/10000000000) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 230753/100000 (*.f64 x 27061/100000)) |
| ✓ | 0.0b | (*.f64 x 99229/100000) |
| ✓ | 0.1b | (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) |
| 0.4b | (*.f64 x 27061/100000) |
Compiled 46 to 36 computations (21.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) |
| 0.0ms | x | @ | inf | (*.f64 x 99229/100000) |
| 0.0ms | x | @ | -inf | (*.f64 x 99229/100000) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) |
| 1× | batch-egg-rewrite |
| 515× | log-prod_binary64 |
| 380× | prod-diff_binary64 |
| 319× | fma-def_binary64 |
| 297× | pow2_binary64 |
| 285× | pow-prod-down_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 27 |
| 1 | 241 | 21 |
| 2 | 3107 | 21 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) |
(*.f64 x 99229/100000) |
(+.f64 230753/100000 (*.f64 x 27061/100000)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 27061/100000 230753/100000) (/.f64 1 (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x 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(pow.f64 (cbrt.f64 (fma.f64 x 99229/100000 1)) -2) (/.f64 (fma.f64 x 27061/100000 230753/100000) (cbrt.f64 (fma.f64 x 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 99229/100000 1) 2))) (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 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 99229/100000 1) 2))) (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (cbrt.f64 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 99229/100000 1) -1/2) (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x 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 99229/100000 1))) (/.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (sqrt.f64 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 977047873985989/1000000000000000 (pow.f64 x 3) 1)) (fma.f64 (*.f64 x 99229/100000) (fma.f64 x 99229/100000 -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (-.f64 1 (*.f64 9846394441/10000000000 (*.f64 x x)))) (+.f64 1 (*.f64 -99229/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 99229/100000 1) (fma.f64 x 27061/100000 230753/100000)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 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 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 99229/100000 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 99229/100000 1) (fma.f64 x 27061/100000 230753/100000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 3) (pow.f64 (fma.f64 x 99229/100000 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 x 99229/100000 1) (fma.f64 x 27061/100000 230753/100000)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (neg.f64 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 99229/100000 1) (fma.f64 x 27061/100000 230753/100000)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 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 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 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 99229/100000 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 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 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 99229/100000 1))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 99229/100000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 99229/100000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x 99229/100000 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 99229/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9846394441/10000000000 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 99229/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 99229/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 977047873985989/1000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9846394441/10000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 977047873985989/1000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 x 99229/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 99229/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x 99229/100000 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x 99229/100000 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x 99229/100000 1)) (cbrt.f64 (pow.f64 (fma.f64 x 99229/100000 1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x 99229/100000 1) 2)) (cbrt.f64 (fma.f64 x 99229/100000 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x 99229/100000 1)) (sqrt.f64 (fma.f64 x 99229/100000 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 977047873985989/1000000000000000 (pow.f64 x 3) 1) (/.f64 1 (fma.f64 (*.f64 x 99229/100000) (fma.f64 x 99229/100000 -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 9846394441/10000000000 (*.f64 x x))) (/.f64 1 (+.f64 1 (*.f64 -99229/100000 x))) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 27061/100000 230753/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 53246947009/10000000000 (+.f64 230753/100000 (*.f64 -27061/100000 x))) (/.f64 (*.f64 (*.f64 x x) 732297721/10000000000) (+.f64 230753/100000 (*.f64 -27061/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 27061/100000 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 27061/100000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) 19816708627981/1000000000000000 12286892763167777/1000000000000000) (/.f64 1 (fma.f64 (*.f64 x 27061/100000) (fma.f64 x 27061/100000 -230753/100000) 53246947009/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 732297721/10000000000)) (/.f64 1 (+.f64 230753/100000 (*.f64 -27061/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 x 27061/100000) (fma.f64 x 27061/100000 -230753/100000) 53246947009/10000000000) (fma.f64 (pow.f64 x 3) 19816708627981/1000000000000000 12286892763167777/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 230753/100000 (*.f64 -27061/100000 x)) (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 732297721/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 19816708627981/1000000000000000 12286892763167777/1000000000000000) (fma.f64 (*.f64 x 27061/100000) (fma.f64 x 27061/100000 -230753/100000) 53246947009/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 19816708627981/1000000000000000 12286892763167777/1000000000000000) (fma.f64 (*.f64 x x) 732297721/10000000000 (-.f64 53246947009/10000000000 (*.f64 6244406933/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 732297721/10000000000)) (+.f64 230753/100000 (*.f64 -27061/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 19816708627981/1000000000000000 12286892763167777/1000000000000000)) (neg.f64 (fma.f64 (*.f64 x 27061/100000) (fma.f64 x 27061/100000 -230753/100000) 53246947009/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 732297721/10000000000))) (neg.f64 (+.f64 230753/100000 (*.f64 -27061/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 x x) 732297721/10000000000 -53246947009/10000000000) (fma.f64 x 27061/100000 -230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 27061/100000 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x 27061/100000) (fma.f64 x 27061/100000 -230753/100000) 53246947009/10000000000) (fma.f64 (pow.f64 x 3) 19816708627981/1000000000000000 12286892763167777/1000000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 230753/100000 (*.f64 -27061/100000 x)) (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 732297721/10000000000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 27061/100000 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 27061/100000 230753/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 27061/100000 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 27061/100000 x 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 27061/100000) 1 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 27061/100000) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 27061/100000)) (cbrt.f64 (*.f64 (*.f64 x x) 732297721/10000000000)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 732297721/10000000000)) (cbrt.f64 (*.f64 x 27061/100000)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 27061/100000) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 27061/100000)) (sqrt.f64 (*.f64 x 27061/100000)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 27061/100000) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 27061/100000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 27061/100000 (sqrt.f64 x)) (sqrt.f64 x) 230753/100000))))) |
| 1× | egg-herbie |
| 626× | fma-def_binary64 |
| 541× | associate-*l*_binary64 |
| 536× | unswap-sqr_binary64 |
| 451× | associate-/r/_binary64 |
| 340× | associate-*r*_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 261 |
| 1 | 100 | 241 |
| 2 | 221 | 238 |
| 3 | 542 | 231 |
| 4 | 1457 | 228 |
| 5 | 4832 | 224 |
| 1× | node limit |
| Inputs |
|---|
230753/100000 |
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) |
(+.f64 230753/100000 (+.f64 (*.f64 2003561459544073/1000000000000000 (pow.f64 x 2)) (*.f64 -20191289437/10000000000 x))) |
(+.f64 230753/100000 (+.f64 (*.f64 2003561459544073/1000000000000000 (pow.f64 x 2)) (+.f64 (*.f64 -198811400069098819717/100000000000000000000 (pow.f64 x 3)) (*.f64 -20191289437/10000000000 x)))) |
27061/99229 |
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 201912894370000000000/96951483487755702481 (/.f64 1 (pow.f64 x 3))) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
27061/99229 |
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 201912894370000000000/96951483487755702481 (/.f64 1 (pow.f64 x 3))) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
(*.f64 99229/100000 x) |
(*.f64 99229/100000 x) |
(*.f64 99229/100000 x) |
(*.f64 99229/100000 x) |
(*.f64 99229/100000 x) |
(*.f64 99229/100000 x) |
(*.f64 99229/100000 x) |
(*.f64 99229/100000 x) |
(*.f64 99229/100000 x) |
(*.f64 99229/100000 x) |
(*.f64 99229/100000 x) |
(*.f64 99229/100000 x) |
230753/100000 |
(+.f64 230753/100000 (*.f64 27061/100000 x)) |
(+.f64 230753/100000 (*.f64 27061/100000 x)) |
(+.f64 230753/100000 (*.f64 27061/100000 x)) |
(*.f64 27061/100000 x) |
(+.f64 230753/100000 (*.f64 27061/100000 x)) |
(+.f64 230753/100000 (*.f64 27061/100000 x)) |
(+.f64 230753/100000 (*.f64 27061/100000 x)) |
(*.f64 27061/100000 x) |
(+.f64 230753/100000 (*.f64 27061/100000 x)) |
(+.f64 230753/100000 (*.f64 27061/100000 x)) |
(+.f64 230753/100000 (*.f64 27061/100000 x)) |
| Outputs |
|---|
230753/100000 |
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) |
(fma.f64 -20191289437/10000000000 x 230753/100000) |
(+.f64 230753/100000 (+.f64 (*.f64 2003561459544073/1000000000000000 (pow.f64 x 2)) (*.f64 -20191289437/10000000000 x))) |
(+.f64 230753/100000 (fma.f64 2003561459544073/1000000000000000 (*.f64 x x) (*.f64 -20191289437/10000000000 x))) |
(+.f64 230753/100000 (fma.f64 -20191289437/10000000000 x (*.f64 x (*.f64 x 2003561459544073/1000000000000000)))) |
(fma.f64 -20191289437/10000000000 x (fma.f64 x (*.f64 x 2003561459544073/1000000000000000) 230753/100000)) |
(fma.f64 x (fma.f64 x 2003561459544073/1000000000000000 -20191289437/10000000000) 230753/100000) |
(+.f64 230753/100000 (+.f64 (*.f64 2003561459544073/1000000000000000 (pow.f64 x 2)) (+.f64 (*.f64 -198811400069098819717/100000000000000000000 (pow.f64 x 3)) (*.f64 -20191289437/10000000000 x)))) |
(+.f64 230753/100000 (fma.f64 2003561459544073/1000000000000000 (*.f64 x x) (fma.f64 -198811400069098819717/100000000000000000000 (pow.f64 x 3) (*.f64 -20191289437/10000000000 x)))) |
(+.f64 230753/100000 (fma.f64 2003561459544073/1000000000000000 (*.f64 x x) (fma.f64 -20191289437/10000000000 x (*.f64 -198811400069098819717/100000000000000000000 (pow.f64 x 3))))) |
(+.f64 230753/100000 (fma.f64 -198811400069098819717/100000000000000000000 (pow.f64 x 3) (*.f64 x (+.f64 -20191289437/10000000000 (*.f64 x 2003561459544073/1000000000000000))))) |
(fma.f64 -198811400069098819717/100000000000000000000 (pow.f64 x 3) (fma.f64 x (fma.f64 x 2003561459544073/1000000000000000 -20191289437/10000000000) 230753/100000)) |
(fma.f64 x (fma.f64 x (fma.f64 x -198811400069098819717/100000000000000000000 2003561459544073/1000000000000000) -20191289437/10000000000) 230753/100000) |
27061/99229 |
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) |
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))) |
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))) |
(-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 2019128943700000/977047873985989 (*.f64 x x))) |
(+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))) |
(-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))) |
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 201912894370000000000/96951483487755702481 (/.f64 1 (pow.f64 x 3))) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 27061/99229 (-.f64 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3))) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))) |
(+.f64 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3))) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x)))) |
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 (+.f64 27061/99229 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3))) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))) |
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))) |
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (*.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 201912894370000000000/96951483487755702481 x) 2019128943700000/977047873985989)))) |
(+.f64 (/.f64 20191289437/9846394441 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 201912894370000000000/96951483487755702481 x) -2019128943700000/977047873985989) 27061/99229)) |
27061/99229 |
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) |
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))) |
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))) |
(-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 2019128943700000/977047873985989 (*.f64 x x))) |
(+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))) |
(-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))) |
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 201912894370000000000/96951483487755702481 (/.f64 1 (pow.f64 x 3))) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 27061/99229 (-.f64 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3))) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))) |
(+.f64 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3))) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x)))) |
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 (+.f64 27061/99229 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3))) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))) |
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))) |
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (*.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 201912894370000000000/96951483487755702481 x) 2019128943700000/977047873985989)))) |
(+.f64 (/.f64 20191289437/9846394441 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 201912894370000000000/96951483487755702481 x) -2019128943700000/977047873985989) 27061/99229)) |
(*.f64 99229/100000 x) |
(*.f64 x 99229/100000) |
(*.f64 99229/100000 x) |
(*.f64 x 99229/100000) |
(*.f64 99229/100000 x) |
(*.f64 x 99229/100000) |
(*.f64 99229/100000 x) |
(*.f64 x 99229/100000) |
(*.f64 99229/100000 x) |
(*.f64 x 99229/100000) |
(*.f64 99229/100000 x) |
(*.f64 x 99229/100000) |
(*.f64 99229/100000 x) |
(*.f64 x 99229/100000) |
(*.f64 99229/100000 x) |
(*.f64 x 99229/100000) |
(*.f64 99229/100000 x) |
(*.f64 x 99229/100000) |
(*.f64 99229/100000 x) |
(*.f64 x 99229/100000) |
(*.f64 99229/100000 x) |
(*.f64 x 99229/100000) |
(*.f64 99229/100000 x) |
(*.f64 x 99229/100000) |
230753/100000 |
(+.f64 230753/100000 (*.f64 27061/100000 x)) |
(+.f64 230753/100000 (*.f64 x 27061/100000)) |
(fma.f64 x 27061/100000 230753/100000) |
(+.f64 230753/100000 (*.f64 27061/100000 x)) |
(+.f64 230753/100000 (*.f64 x 27061/100000)) |
(fma.f64 x 27061/100000 230753/100000) |
(+.f64 230753/100000 (*.f64 27061/100000 x)) |
(+.f64 230753/100000 (*.f64 x 27061/100000)) |
(fma.f64 x 27061/100000 230753/100000) |
(*.f64 27061/100000 x) |
(*.f64 x 27061/100000) |
(+.f64 230753/100000 (*.f64 27061/100000 x)) |
(+.f64 230753/100000 (*.f64 x 27061/100000)) |
(fma.f64 x 27061/100000 230753/100000) |
(+.f64 230753/100000 (*.f64 27061/100000 x)) |
(+.f64 230753/100000 (*.f64 x 27061/100000)) |
(fma.f64 x 27061/100000 230753/100000) |
(+.f64 230753/100000 (*.f64 27061/100000 x)) |
(+.f64 230753/100000 (*.f64 x 27061/100000)) |
(fma.f64 x 27061/100000 230753/100000) |
(*.f64 27061/100000 x) |
(*.f64 x 27061/100000) |
(+.f64 230753/100000 (*.f64 27061/100000 x)) |
(+.f64 230753/100000 (*.f64 x 27061/100000)) |
(fma.f64 x 27061/100000 230753/100000) |
(+.f64 230753/100000 (*.f64 27061/100000 x)) |
(+.f64 230753/100000 (*.f64 x 27061/100000)) |
(fma.f64 x 27061/100000 230753/100000) |
(+.f64 230753/100000 (*.f64 27061/100000 x)) |
(+.f64 230753/100000 (*.f64 x 27061/100000)) |
(fma.f64 x 27061/100000 230753/100000) |
Compiled 9875 to 7674 computations (22.3% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 508 | 6 | 514 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 3 | 2 | 5 |
| Total | 511 | 9 | 520 |
| Status | Error | Program |
|---|---|---|
| ▶ | 25.8b | (-.f64 (*.f64 30191289437/10000000000 x) 230753/100000) |
| ▶ | 32.3b | (-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x))) |
| 30.7b | -230753/100000 | |
| ▶ | 28.0b | (-.f64 x 27061/99229) |
| 32.0b | x | |
| ✓ | 0.0b | (-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))) |
| ✓ | 1.0b | (-.f64 x 230753/100000) |
| ✓ | 0.6b | (-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000)))) |
| ▶ | 33.2b | (-.f64 x (-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x)))) |
Compiled 72 to 55 computations (23.6% saved)
Compiled 6 to 4 computations (33.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) |
| ✓ | 0.0b | (-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x))) |
| ✓ | 0.1b | (/.f64 20191289437/9846394441 x) |
Compiled 19 to 14 computations (26.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) |
| 1.0ms | x | @ | 0 | (/.f64 20191289437/9846394441 x) |
| 1.0ms | x | @ | inf | (/.f64 20191289437/9846394441 x) |
| 1.0ms | x | @ | -inf | (/.f64 20191289437/9846394441 x) |
| 0.0ms | x | @ | 0 | (-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x))) |
| 1× | batch-egg-rewrite |
| 535× | prod-diff_binary64 |
| 518× | unpow-prod-down_binary64 |
| 359× | log-prod_binary64 |
| 283× | fma-def_binary64 |
| 227× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 21 |
| 1 | 172 | 21 |
| 2 | 2441 | 21 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 20191289437/9846394441 x) |
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x))) |
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 20191289437/9846394441 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 20191289437/9846394441 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 20191289437/9846394441 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 20191289437/9846394441 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 20191289437/9846394441 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 20191289437/9846394441 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 20191289437/9846394441 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 20191289437/9846394441 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 20191289437/9846394441 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) (pow.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) 2) (cbrt.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 20191289437/9846394441 x)) (sqrt.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -20191289437/9846394441 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -20191289437/9846394441 (pow.f64 (/.f64 1 (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 20191289437/9846394441)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 20191289437/9846394441 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 20191289437/9846394441) 3) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x))) 2) 3) (cbrt.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 20191289437/9846394441) 2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 8231749822918346830573921576453/954622548060541040474968308121 1/3) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 407688169128707776969/96951483487755702481 (pow.f64 x -2)) 20191289437/9846394441) 1/3) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 20191289437/9846394441 x) (cbrt.f64 (/.f64 20191289437/9846394441 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 20191289437/9846394441 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 9846394441/20191289437)) 2) -1) (cbrt.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 20191289437/9846394441 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 407688169128707776969/96951483487755702481 (pow.f64 x -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 20191289437/9846394441 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8231749822918346830573921576453/954622548060541040474968308121 (pow.f64 x -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9846394441/20191289437) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 9846394441/20191289437) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 407688169128707776969/96951483487755702481 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 8231749822918346830573921576453/954622548060541040474968308121 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 20191289437/9846394441 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 20191289437/9846394441 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 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log1p.f64 (expm1.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 20191289437/9846394441 (/.f64 1 x) 27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 20191289437/9846394441 x) 1 27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 20191289437/9846394441 x) 27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) (pow.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) 2) 27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) 2) (cbrt.f64 (/.f64 20191289437/9846394441 x)) 27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 20191289437/9846394441 x)) (sqrt.f64 (/.f64 20191289437/9846394441 x)) 27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -20191289437/9846394441 (/.f64 1 (neg.f64 x)) 27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 20191289437/9846394441 27061/99229))))) |
| 1× | egg-herbie |
| 180× | fma-neg_binary64 |
| 110× | fma-def_binary64 |
| 47× | cancel-sign-sub-inv_binary64 |
| 36× | associate-/l*_binary64 |
| 33× | sub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 152 |
| 1 | 29 | 150 |
| 2 | 60 | 150 |
| 3 | 104 | 150 |
| 4 | 190 | 150 |
| 5 | 278 | 150 |
| 6 | 468 | 150 |
| 7 | 620 | 150 |
| 8 | 698 | 150 |
| 9 | 770 | 150 |
| 10 | 842 | 150 |
| 11 | 862 | 150 |
| 12 | 880 | 150 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 -20191289437/9846394441 x) |
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
x |
(-.f64 x 27061/99229) |
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
x |
(-.f64 x 27061/99229) |
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(/.f64 20191289437/9846394441 x) |
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) |
27061/99229 |
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) |
27061/99229 |
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) |
| Outputs |
|---|
(/.f64 -20191289437/9846394441 x) |
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(+.f64 -27061/99229 (neg.f64 (/.f64 20191289437/9846394441 x))) |
(+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x)) |
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x))) |
(+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x)) |
(+.f64 (/.f64 -20191289437/9846394441 x) (+.f64 x -27061/99229)) |
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x))) |
(+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x)) |
(+.f64 (/.f64 -20191289437/9846394441 x) (+.f64 x -27061/99229)) |
x |
(-.f64 x 27061/99229) |
(+.f64 x -27061/99229) |
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x))) |
(+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x)) |
(+.f64 (/.f64 -20191289437/9846394441 x) (+.f64 x -27061/99229)) |
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x))) |
(+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x)) |
(+.f64 (/.f64 -20191289437/9846394441 x) (+.f64 x -27061/99229)) |
x |
(-.f64 x 27061/99229) |
(+.f64 x -27061/99229) |
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x))) |
(+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x)) |
(+.f64 (/.f64 -20191289437/9846394441 x) (+.f64 x -27061/99229)) |
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x))) |
(+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x)) |
(+.f64 (/.f64 -20191289437/9846394441 x) (+.f64 x -27061/99229)) |
(/.f64 20191289437/9846394441 x) |
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) |
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) |
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) |
27061/99229 |
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) |
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) |
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) |
27061/99229 |
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) |
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) |
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x)) |
| ✓ | 0.0b | (-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))) |
| 0.1b | (/.f64 20191289437/9846394441 x) | |
| ✓ | 0.7b | (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
Compiled 45 to 28 computations (37.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))) |
| 0.0ms | x | @ | inf | (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))) |
| 0.0ms | x | @ | -inf | (-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))) |
| 1× | batch-egg-rewrite |
| 687× | prod-diff_binary64 |
| 499× | log-prod_binary64 |
| 306× | fma-def_binary64 |
| 219× | log-div_binary64 |
| 214× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 30 |
| 1 | 243 | 28 |
| 2 | 3431 | 28 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))) |
(-.f64 -27061/99229 (/.f64 20191289437/9846394441 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -2019128943700000/977047873985989) (pow.f64 x -2))) (cbrt.f64 (pow.f64 (exp.f64 -2019128943700000/977047873985989) (pow.f64 x -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2019128943700000/977047873985989) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2019128943700000/977047873985989) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2019128943700000/977047873985989) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2019128943700000/977047873985989 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2))) (cbrt.f64 (/.f64 4076881691287077769690000000000/954622548060541040474968308121 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4076881691287077769690000000000/954622548060541040474968308121 (pow.f64 x 4))) (cbrt.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -2019128943700000/977047873985989) x) (/.f64 (sqrt.f64 -2019128943700000/977047873985989) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2019128943700000/977047873985989 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) -2019128943700000/977047873985989)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2019128943700000/977047873985989 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -2019128943700000/977047873985989) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -8231749822918346830573921576453000000000000000/932711931041639230364939495148905203788916669 (pow.f64 (pow.f64 x -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) -977047873985989/2019128943700000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 x x) -977047873985989/2019128943700000) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4076881691287077769690000000000/954622548060541040474968308121 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2019128943700000/977047873985989) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -8231749822918346830573921576453000000000000000/932711931041639230364939495148905203788916669 (pow.f64 (pow.f64 x -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2))) 1)))))) |
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| 1× | egg-herbie |
| 749× | distribute-neg-frac_binary64 |
| 598× | associate-/l/_binary64 |
| 548× | fma-neg_binary64 |
| 434× | unswap-sqr_binary64 |
| 423× | associate-*l/_binary64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 303 |
| 1 | 49 | 285 |
| 2 | 101 | 285 |
| 3 | 200 | 285 |
| 4 | 432 | 285 |
| 5 | 1296 | 285 |
| 6 | 4795 | 273 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(-.f64 (*.f64 20191289437/9846394441 (/.f64 1 x)) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
27061/99229 |
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
27061/99229 |
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
(/.f64 -20191289437/9846394441 x) |
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
-27061/99229 |
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
-27061/99229 |
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
| Outputs |
|---|
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(-.f64 (*.f64 20191289437/9846394441 (/.f64 1 x)) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 20191289437/9846394441 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x))) |
(+.f64 (/.f64 20191289437/9846394441 x) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 (/.f64 2019128943700000/977047873985989 x) 20191289437/9846394441)) |
(*.f64 (/.f64 -1 x) (+.f64 (/.f64 2019128943700000/977047873985989 x) -20191289437/9846394441)) |
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))) |
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x)))) |
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))) |
(-.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) -27061/99229)) |
(+.f64 (*.f64 (/.f64 -1 x) (-.f64 (/.f64 2019128943700000/977047873985989 x) 20191289437/9846394441)) 27061/99229) |
(fma.f64 (/.f64 -1 x) (+.f64 (/.f64 2019128943700000/977047873985989 x) -20191289437/9846394441) 27061/99229) |
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))) |
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x)))) |
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))) |
(-.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) -27061/99229)) |
(+.f64 (*.f64 (/.f64 -1 x) (-.f64 (/.f64 2019128943700000/977047873985989 x) 20191289437/9846394441)) 27061/99229) |
(fma.f64 (/.f64 -1 x) (+.f64 (/.f64 2019128943700000/977047873985989 x) -20191289437/9846394441) 27061/99229) |
27061/99229 |
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) |
(-.f64 27061/99229 (/.f64 -20191289437/9846394441 x)) |
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))) |
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x)))) |
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))) |
(-.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) -27061/99229)) |
(+.f64 (*.f64 (/.f64 -1 x) (-.f64 (/.f64 2019128943700000/977047873985989 x) 20191289437/9846394441)) 27061/99229) |
(fma.f64 (/.f64 -1 x) (+.f64 (/.f64 2019128943700000/977047873985989 x) -20191289437/9846394441) 27061/99229) |
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))) |
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x)))) |
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))) |
(-.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) -27061/99229)) |
(+.f64 (*.f64 (/.f64 -1 x) (-.f64 (/.f64 2019128943700000/977047873985989 x) 20191289437/9846394441)) 27061/99229) |
(fma.f64 (/.f64 -1 x) (+.f64 (/.f64 2019128943700000/977047873985989 x) -20191289437/9846394441) 27061/99229) |
27061/99229 |
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) |
(-.f64 27061/99229 (/.f64 -20191289437/9846394441 x)) |
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))) |
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x)))) |
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))) |
(-.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) -27061/99229)) |
(+.f64 (*.f64 (/.f64 -1 x) (-.f64 (/.f64 2019128943700000/977047873985989 x) 20191289437/9846394441)) 27061/99229) |
(fma.f64 (/.f64 -1 x) (+.f64 (/.f64 2019128943700000/977047873985989 x) -20191289437/9846394441) 27061/99229) |
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))) |
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x)))) |
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))) |
(-.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) -27061/99229)) |
(+.f64 (*.f64 (/.f64 -1 x) (-.f64 (/.f64 2019128943700000/977047873985989 x) 20191289437/9846394441)) 27061/99229) |
(fma.f64 (/.f64 -1 x) (+.f64 (/.f64 2019128943700000/977047873985989 x) -20191289437/9846394441) 27061/99229) |
(/.f64 -20191289437/9846394441 x) |
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(+.f64 -27061/99229 (neg.f64 (/.f64 20191289437/9846394441 x))) |
(+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x)) |
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(+.f64 -27061/99229 (neg.f64 (/.f64 20191289437/9846394441 x))) |
(+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x)) |
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(+.f64 -27061/99229 (neg.f64 (/.f64 20191289437/9846394441 x))) |
(+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x)) |
-27061/99229 |
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(+.f64 -27061/99229 (neg.f64 (/.f64 20191289437/9846394441 x))) |
(+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x)) |
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(+.f64 -27061/99229 (neg.f64 (/.f64 20191289437/9846394441 x))) |
(+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x)) |
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(+.f64 -27061/99229 (neg.f64 (/.f64 20191289437/9846394441 x))) |
(+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x)) |
-27061/99229 |
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(+.f64 -27061/99229 (neg.f64 (/.f64 20191289437/9846394441 x))) |
(+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x)) |
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(+.f64 -27061/99229 (neg.f64 (/.f64 20191289437/9846394441 x))) |
(+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x)) |
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(+.f64 -27061/99229 (neg.f64 (/.f64 20191289437/9846394441 x))) |
(+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 30191289437/10000000000 x) 230753/100000) |
| ✓ | 0.4b | (*.f64 30191289437/10000000000 x) |
Compiled 12 to 9 computations (25% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 30191289437/10000000000 x) |
| 0.0ms | x | @ | inf | (*.f64 30191289437/10000000000 x) |
| 0.0ms | x | @ | -inf | (*.f64 30191289437/10000000000 x) |
| 0.0ms | x | @ | inf | (-.f64 (*.f64 30191289437/10000000000 x) 230753/100000) |
| 0.0ms | x | @ | -inf | (-.f64 (*.f64 30191289437/10000000000 x) 230753/100000) |
| 1× | batch-egg-rewrite |
| 648× | pow1_binary64 |
| 612× | add-log-exp_binary64 |
| 612× | log1p-expm1-u_binary64 |
| 612× | expm1-log1p-u_binary64 |
| 603× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 135 | 9 |
| 2 | 1602 | 9 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 30191289437/10000000000 x) |
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 30191289437/10000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 30191289437/10000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 30191289437/10000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 30191289437/10000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 30191289437/10000000000 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 30191289437/10000000000 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 30191289437/10000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 30191289437/10000000000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 30191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 30191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 30191289437/10000000000 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 30191289437/10000000000 x) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -230753/100000 (*.f64 30191289437/10000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 30191289437/10000000000 x -230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 30191289437/10000000000 x -230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 30191289437/10000000000 x -230753/100000)) (pow.f64 (cbrt.f64 (fma.f64 30191289437/10000000000 x -230753/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 30191289437/10000000000 x -230753/100000)) 2) (cbrt.f64 (fma.f64 30191289437/10000000000 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 30191289437/10000000000 x -230753/100000)) (sqrt.f64 (fma.f64 30191289437/10000000000 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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30191289437/10000000000 x) 2) (+.f64 53246947009/10000000000 (*.f64 x 6966730611456061/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 30191289437/10000000000 x) 2) -53246947009/10000000000)) (neg.f64 (fma.f64 30191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 30191289437/10000000000 x -230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 30191289437/10000000000 x -230753/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 30191289437/10000000000 x -230753/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 30191289437/10000000000 x -230753/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 30191289437/10000000000 x -230753/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 30191289437/10000000000 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 30191289437/10000000000 x -230753/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 30191289437/10000000000 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 30191289437/10000000000 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 30191289437/10000000000 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 30191289437/10000000000 x -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 30191289437/10000000000 -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 30191289437/10000000000 x) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 30191289437/10000000000 x)) 2) (cbrt.f64 (*.f64 30191289437/10000000000 x)) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 30191289437/10000000000 x)) (sqrt.f64 (*.f64 30191289437/10000000000 x)) -230753/100000))))) |
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 9 |
| 1 | 6 | 9 |
| 1× | saturated |
| Inputs |
|---|
-230753/100000 |
(*.f64 30191289437/10000000000 x) |
(*.f64 30191289437/10000000000 x) |
| Outputs |
|---|
-230753/100000 |
(*.f64 30191289437/10000000000 x) |
(*.f64 30191289437/10000000000 x) |
Compiled 12814 to 10091 computations (21.3% saved)
9 alts after pruning (3 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 596 | 2 | 598 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 5 | 6 |
| Total | 598 | 9 | 607 |
| Status | Error | Program |
|---|---|---|
| 30.7b | -230753/100000 | |
| ✓ | 28.0b | (-.f64 x 27061/99229) |
| 32.0b | x | |
| ✓ | 0.0b | (-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))) |
| ✓ | 25.8b | (-.f64 (*.f64 30191289437/10000000000 x) 230753/100000) |
| ▶ | 32.1b | (-.f64 x (/.f64 20191289437/9846394441 x)) |
| ✓ | 1.0b | (-.f64 x 230753/100000) |
| ✓ | 0.6b | (-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000)))) |
| ✓ | 33.2b | (-.f64 x (-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x)))) |
Compiled 70 to 53 computations (24.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (/.f64 20191289437/9846394441 x)) |
| 0.1b | (/.f64 20191289437/9846394441 x) |
Compiled 11 to 7 computations (36.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 x (/.f64 20191289437/9846394441 x)) |
| 0.0ms | x | @ | inf | (-.f64 x (/.f64 20191289437/9846394441 x)) |
| 0.0ms | x | @ | -inf | (-.f64 x (/.f64 20191289437/9846394441 x)) |
| 1× | batch-egg-rewrite |
| 670× | pow1_binary64 |
| 633× | add-log-exp_binary64 |
| 633× | log1p-expm1-u_binary64 |
| 633× | expm1-log1p-u_binary64 |
| 621× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 119 | 7 |
| 2 | 1690 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (/.f64 20191289437/9846394441 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 -20191289437/9846394441 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 -20191289437/9846394441 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -20191289437/9846394441 x)) (fma.f64 (neg.f64 (/.f64 1 x)) 20191289437/9846394441 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -20191289437/9846394441 x)) (fma.f64 (/.f64 -20191289437/9846394441 x) 1 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -20191289437/9846394441 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x))) (pow.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) 2) (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -20191289437/9846394441 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 20191289437/9846394441 x))) (sqrt.f64 (/.f64 20191289437/9846394441 x)) (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -20191289437/9846394441 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 -20191289437/9846394441 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 -20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 -20191289437/9846394441 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -20191289437/9846394441 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -20191289437/9846394441 x))) 2) (cbrt.f64 (+.f64 x (/.f64 -20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 -20191289437/9846394441 x))) (sqrt.f64 (+.f64 x (/.f64 -20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (/.f64 8231749822918346830573921576453/954622548060541040474968308121 (pow.f64 x 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 20191289437/9846394441 x) (+.f64 x (/.f64 20191289437/9846394441 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x))) (/.f64 1 (+.f64 x (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 20191289437/9846394441 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 20191289437/9846394441 x) (+.f64 x (/.f64 20191289437/9846394441 x)))) (-.f64 (pow.f64 x 3) (/.f64 8231749822918346830573921576453/954622548060541040474968308121 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 20191289437/9846394441 x)) (-.f64 (*.f64 x x) (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (/.f64 8231749822918346830573921576453/954622548060541040474968308121 (pow.f64 x 3))) (fma.f64 x x (*.f64 (/.f64 20191289437/9846394441 x) (+.f64 x (/.f64 20191289437/9846394441 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x))) (+.f64 x (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (/.f64 8231749822918346830573921576453/954622548060541040474968308121 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 20191289437/9846394441 x) (+.f64 x (/.f64 20191289437/9846394441 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x)))) (neg.f64 (+.f64 x (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 -20191289437/9846394441 x) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 -20191289437/9846394441 x) (/.f64 -20191289437/9846394441 x)) (*.f64 x (/.f64 -20191289437/9846394441 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 -20191289437/9846394441 x) (/.f64 -20191289437/9846394441 x))) (-.f64 x (/.f64 -20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 -20191289437/9846394441 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 -20191289437/9846394441 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 -20191289437/9846394441 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (/.f64 -20191289437/9846394441 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 -20191289437/9846394441 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 -20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 -20191289437/9846394441 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 -20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 -20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 -20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 -20191289437/9846394441 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -20191289437/9846394441 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -20191289437/9846394441 x)))))) |
| 1× | egg-herbie |
| 66× | fma-neg_binary64 |
| 65× | fma-def_binary64 |
| 30× | associate-/r*_binary64 |
| 26× | cancel-sign-sub-inv_binary64 |
| 23× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 69 |
| 1 | 19 | 69 |
| 2 | 30 | 69 |
| 3 | 47 | 69 |
| 4 | 63 | 69 |
| 5 | 88 | 69 |
| 6 | 135 | 69 |
| 7 | 188 | 69 |
| 8 | 245 | 69 |
| 9 | 328 | 69 |
| 10 | 461 | 69 |
| 11 | 486 | 69 |
| 12 | 504 | 69 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 -20191289437/9846394441 x) |
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x))) |
x |
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x))) |
x |
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x))) |
| Outputs |
|---|
(/.f64 -20191289437/9846394441 x) |
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(-.f64 x (/.f64 20191289437/9846394441 x)) |
(+.f64 x (/.f64 -20191289437/9846394441 x)) |
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(-.f64 x (/.f64 20191289437/9846394441 x)) |
(+.f64 x (/.f64 -20191289437/9846394441 x)) |
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(-.f64 x (/.f64 20191289437/9846394441 x)) |
(+.f64 x (/.f64 -20191289437/9846394441 x)) |
x |
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(-.f64 x (/.f64 20191289437/9846394441 x)) |
(+.f64 x (/.f64 -20191289437/9846394441 x)) |
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(-.f64 x (/.f64 20191289437/9846394441 x)) |
(+.f64 x (/.f64 -20191289437/9846394441 x)) |
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(-.f64 x (/.f64 20191289437/9846394441 x)) |
(+.f64 x (/.f64 -20191289437/9846394441 x)) |
x |
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(-.f64 x (/.f64 20191289437/9846394441 x)) |
(+.f64 x (/.f64 -20191289437/9846394441 x)) |
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(-.f64 x (/.f64 20191289437/9846394441 x)) |
(+.f64 x (/.f64 -20191289437/9846394441 x)) |
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x))) |
(-.f64 x (/.f64 20191289437/9846394441 x)) |
(+.f64 x (/.f64 -20191289437/9846394441 x)) |
Compiled 901 to 649 computations (28% saved)
9 alts after pruning (2 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 80 | 1 | 81 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 81 | 9 | 90 |
| Status | Error | Program |
|---|---|---|
| 30.7b | -230753/100000 | |
| ✓ | 28.0b | (-.f64 x 27061/99229) |
| ✓ | 0.6b | (-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000)))) |
| 32.0b | x | |
| ✓ | 25.8b | (-.f64 (*.f64 30191289437/10000000000 x) 230753/100000) |
| ✓ | 32.1b | (-.f64 x (/.f64 20191289437/9846394441 x)) |
| ✓ | 0.0b | (-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))) |
| ✓ | 1.0b | (-.f64 x 230753/100000) |
| ✓ | 33.2b | (-.f64 x (-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x)))) |
Compiled 70 to 53 computations (24.3% saved)
| Inputs |
|---|
x |
x |
-230753/100000 |
x |
(-.f64 x 27061/99229) |
(-.f64 x 230753/100000) |
(-.f64 x (/.f64 20191289437/9846394441 x)) |
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000) |
(-.f64 x (/.f64 27061/4481 x)) |
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x))) |
(-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))) |
(-.f64 x (-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x)))) |
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000)))) |
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))) |
(-.f64 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))))) |
| Outputs |
|---|
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))) |
2 calls:
| 8.0ms | x |
| 6.0ms | (-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))) |
Compiled 131 to 95 computations (27.5% saved)
| Inputs |
|---|
x |
x |
-230753/100000 |
x |
(-.f64 x 27061/99229) |
(-.f64 x 230753/100000) |
(-.f64 x (/.f64 20191289437/9846394441 x)) |
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000) |
(-.f64 x (/.f64 27061/4481 x)) |
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x))) |
(-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))) |
(-.f64 x (-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x)))) |
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000)))) |
| Outputs |
|---|
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000)))) |
1 calls:
| 7.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 1 | x |
Compiled 68 to 46 computations (32.4% saved)
| Inputs |
|---|
x |
x |
-230753/100000 |
x |
(-.f64 x 27061/99229) |
(-.f64 x 230753/100000) |
(-.f64 x (/.f64 20191289437/9846394441 x)) |
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000) |
(-.f64 x (/.f64 27061/4481 x)) |
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x))) |
(-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))) |
(-.f64 x (-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x)))) |
| Outputs |
|---|
(-.f64 x 230753/100000) |
1 calls:
| 9.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.0b | 1 | x |
Compiled 55 to 36 computations (34.5% saved)
| Inputs |
|---|
x |
x |
-230753/100000 |
x |
(-.f64 x 27061/99229) |
| Outputs |
|---|
x |
-230753/100000 |
x |
1 calls:
| 12.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.8b | 3 | x |
Compiled 10 to 5 computations (50% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 8.954158134575105e-13 | 4.15177225914902 |
| 22.0ms | -6736524540.664547 | -0.00011080884447464216 |
Compiled 22 to 17 computations (22.7% saved)
Total 0.0b remaining (0%)
Threshold costs 0.0b (0%)
| Inputs |
|---|
x |
x |
| Outputs |
|---|
x |
1 calls:
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 32.0b | 1 | x |
Compiled 5 to 2 computations (60% saved)
| 1× | egg-herbie |
| 12× | +-commutative_binary64 |
| 9× | *-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 5× | neg-sub0_binary64 |
| 5× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 64 |
| 1 | 44 | 64 |
| 2 | 55 | 64 |
| 3 | 64 | 64 |
| 4 | 78 | 64 |
| 5 | 83 | 64 |
| 6 | 86 | 64 |
| 7 | 87 | 64 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))) |
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000)))) |
(-.f64 x 230753/100000) |
(if (<=.f64 x -1765939489187967/262144) x (if (<=.f64 x 4433884349153365/4951760157141521099596496896) -230753/100000 x)) |
x |
| Outputs |
|---|
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))) |
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))))) |
(+.f64 x (/.f64 (+.f64 -230753/100000 (*.f64 x -27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))))) |
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000)))) |
(+.f64 x (/.f64 (+.f64 -230753/100000 (*.f64 x -27061/100000)) (+.f64 1 (*.f64 x 99229/100000)))) |
(-.f64 x 230753/100000) |
(+.f64 x -230753/100000) |
(if (<=.f64 x -1765939489187967/262144) x (if (<=.f64 x 4433884349153365/4951760157141521099596496896) -230753/100000 x)) |
x |
Compiled 50 to 37 computations (26% saved)
Compiled 46 to 33 computations (28.3% saved)
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