Time bar (total: 5.2s)
| 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)
| 1.5s | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 1274× | fma-neg_binary64 |
| 639× | fma-def_binary64 |
| 397× | div-sub_binary64 |
| 343× | associate-/l*_binary64 |
| 332× | cancel-sign-sub-inv_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 25 |
| 1 | 31 | 19 |
| 2 | 60 | 19 |
| 3 | 83 | 19 |
| 4 | 98 | 19 |
| 5 | 117 | 19 |
| 6 | 163 | 19 |
| 7 | 252 | 19 |
| 8 | 422 | 19 |
| 9 | 673 | 19 |
| 10 | 1548 | 19 |
| 11 | 3687 | 19 |
| 12 | 5986 | 19 |
| 13 | 7642 | 19 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x) |
| Outputs |
|---|
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x) |
(-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x) |
Compiled 19 to 15 computations (21.1% saved)
| 1× | egg-herbie |
| 1274× | fma-neg_binary64 |
| 639× | fma-def_binary64 |
| 397× | div-sub_binary64 |
| 343× | associate-/l*_binary64 |
| 332× | cancel-sign-sub-inv_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 25 |
| 1 | 31 | 19 |
| 2 | 60 | 19 |
| 3 | 83 | 19 |
| 4 | 98 | 19 |
| 5 | 117 | 19 |
| 6 | 163 | 19 |
| 7 | 252 | 19 |
| 8 | 422 | 19 |
| 9 | 673 | 19 |
| 10 | 1548 | 19 |
| 11 | 3687 | 19 |
| 12 | 5986 | 19 |
| 13 | 7642 | 19 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x) |
| Outputs |
|---|
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x) |
(-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x) |
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 |
|---|---|---|
| ▶ | 0b | (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.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 x (+.f64 99229/100000 (*.f64 x 4481/100000))) |
| ✓ | 0.3b | (*.f64 x 4481/100000) |
| ✓ | 0.4b | (*.f64 x 27061/100000) |
| ✓ | 14.7b | (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) |
Compiled 71 to 55 computations (22.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))) |
| 1.0ms | x | @ | inf | (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) |
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) |
| 1.0ms | x | @ | inf | (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))) |
| 1.0ms | x | @ | -inf | (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) |
| 1× | batch-egg-rewrite |
| 848× | prod-diff_binary64 |
| 487× | fma-def_binary64 |
| 273× | expm1-udef_binary64 |
| 273× | log1p-udef_binary64 |
| 225× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 40 |
| 1 | 318 | 32 |
| 2 | 4288 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) |
(*.f64 x 27061/100000) |
(*.f64 x 4481/100000) |
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 27061/100000 230753/100000) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2) (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (*.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (sqrt.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 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (*.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 1 (neg.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (fma.f64 x 27061/100000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) 1) (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) (/.f64 (fma.f64 x 27061/100000 230753/100000) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (/.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (+.f64 1 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 3))) (fma.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (-.f64 1 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 2))) (-.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 27061/100000 230753/100000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (neg.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 3) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (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 (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 (*.f64 x (*.f64 x 4481/100000)) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 99229/100000) (*.f64 x (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 99229/100000) 1) (*.f64 (*.f64 x (*.f64 x 4481/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 99229/100000) 3) (pow.f64 (*.f64 x (*.f64 x 4481/100000)) 3)) (fma.f64 (*.f64 x 99229/100000) (*.f64 x 99229/100000) (-.f64 (*.f64 (*.f64 x (*.f64 x 4481/100000)) (*.f64 x (*.f64 x 4481/100000))) (*.f64 (*.f64 x 99229/100000) (*.f64 x (*.f64 x 4481/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 99229/100000) (*.f64 x 99229/100000)) (*.f64 (*.f64 x (*.f64 x 4481/100000)) (*.f64 x (*.f64 x 4481/100000)))) (-.f64 (*.f64 x 99229/100000) (*.f64 x (*.f64 x 4481/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 89975616641/1000000000000000 (pow.f64 x 3) 977047873985989/1000000000000000) x) (fma.f64 (*.f64 x 4481/100000) (fma.f64 x 4481/100000 -99229/100000) 9846394441/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9846394441/10000000000 (pow.f64 (*.f64 x 4481/100000) 2)) x) (+.f64 99229/100000 (*.f64 -4481/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 89975616641/1000000000000000 (pow.f64 x 3) 977047873985989/1000000000000000)) (fma.f64 (*.f64 x 4481/100000) (fma.f64 x 4481/100000 -99229/100000) 9846394441/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 9846394441/10000000000 (pow.f64 (*.f64 x 4481/100000) 2))) (+.f64 99229/100000 (*.f64 -4481/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x 4481/100000))) (exp.f64 (*.f64 x 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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 1 (*.f64 x (*.f64 x 4481/100000)) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 99229/100000) (*.f64 x (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 99229/100000 x (*.f64 x (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4481/100000 (*.f64 x x) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 4481/100000) x (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 4481/100000 (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 4481/100000)) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 99229/100000) (*.f64 x (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (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 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(*.f64 x (fma.f64 x 4481/100000 99229/100000)) 3)) (/.f64 1 (fma.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 2)) (/.f64 1 (-.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 99229/100000) 1 (*.f64 (*.f64 x (*.f64 x 4481/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 4481/100000))) (cbrt.f64 (*.f64 x (*.f64 x 4481/100000)))) (cbrt.f64 (*.f64 x (*.f64 x 4481/100000))) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 x 99229/100000)) (cbrt.f64 (*.f64 x 99229/100000))) (cbrt.f64 (*.f64 x 99229/100000)) (*.f64 x (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (*.f64 x 4481/100000))) (sqrt.f64 (*.f64 x (*.f64 x 4481/100000))) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 99229/100000)) (sqrt.f64 (*.f64 x 99229/100000)) (*.f64 x (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4481/100000))) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4481/100000))) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 x 4481/100000)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x 4481/100000)) (sqrt.f64 x)) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (*.f64 x 4481/100000) 2))) (cbrt.f64 (*.f64 x 4481/100000)) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x 4481/100000))) (sqrt.f64 (*.f64 x 4481/100000)) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 4481/100000) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 4481/100000) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 99229/100000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 99229/100000 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (*.f64 x 4481/100000))))))) |
| 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 2991 to 2284 computations (23.6% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 138 | 5 | 143 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 138 | 6 | 144 |
| Status | Error | Program |
|---|---|---|
| ▶ | 32.5b | (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x) |
| ▶ | 31.5b | (-.f64 (/.f64 27061/4481 x) x) |
| ▶ | 0.6b | (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x) |
| ✓ | 0b | (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x) |
| ▶ | 26.4b | (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x) |
| ▶ | 0.7b | (-.f64 230753/100000 x) |
Compiled 106 to 78 computations (26.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (*.f64 x 99229/100000)) |
| ✓ | 0.0b | (*.f64 x 99229/100000) |
| ✓ | 0.0b | (/.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))) |
| 1.0ms | x | @ | -inf | (*.f64 x 99229/100000) |
| 1.0ms | x | @ | inf | (*.f64 x 99229/100000) |
| 1.0ms | x | @ | inf | (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) |
| 1.0ms | x | @ | 0 | (*.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 1 (*.f64 x 99229/100000)) |
| 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 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))) (cbrt.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 *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 99229/100000 1) (fma.f64 x 27061/100000 230753/100000)) -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 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (*.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 1 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))) (sqrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (*.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 1 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 1 (neg.f64 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 99229/100000 1)) (fma.f64 x 27061/100000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) 1) (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 99229/100000 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 -99229/100000 x))) (/.f64 (*.f64 9846394441/10000000000 (*.f64 x x)) (+.f64 1 (*.f64 -99229/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 99229/100000 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 99229/100000 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 99229/100000 1)) (cbrt.f64 (pow.f64 (fma.f64 x 99229/100000 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x 99229/100000 1) 2)) (cbrt.f64 (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 99229/100000 1)) (sqrt.f64 (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 9846394441/10000000000 (*.f64 x x))) (/.f64 1 (+.f64 1 (*.f64 -99229/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 x 99229/100000) (fma.f64 x 99229/100000 -1) 1) (fma.f64 977047873985989/1000000000000000 (pow.f64 x 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 -99229/100000 x)) (-.f64 1 (*.f64 9846394441/10000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (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 (fma.f64 977047873985989/1000000000000000 (pow.f64 x 3) 1) (fma.f64 9846394441/10000000000 (*.f64 x x) (+.f64 1 (*.f64 -99229/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 9846394441/10000000000 (*.f64 x x))) (+.f64 1 (*.f64 -99229/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 977047873985989/1000000000000000 (pow.f64 x 3) 1)) (neg.f64 (fma.f64 (*.f64 x 99229/100000) (fma.f64 x 99229/100000 -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (*.f64 9846394441/10000000000 (*.f64 x x)))) (neg.f64 (+.f64 1 (*.f64 -99229/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 9846394441/10000000000 (*.f64 x x) -1) (fma.f64 x 99229/100000 -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 99229/100000 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 99229/100000 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 99229/100000 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 99229/100000 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 99229/100000 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x 99229/100000) (fma.f64 x 99229/100000 -1) 1) (fma.f64 977047873985989/1000000000000000 (pow.f64 x 3) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (*.f64 -99229/100000 x)) (-.f64 1 (*.f64 9846394441/10000000000 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 99229/100000 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 99229/100000 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 x 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 x 99229/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 99229/100000 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 99229/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 99229/100000 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 99229/100000) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 99229/100000)) (cbrt.f64 (*.f64 9846394441/10000000000 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 9846394441/10000000000 (*.f64 x x))) (cbrt.f64 (*.f64 x 99229/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 99229/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 99229/100000)) (sqrt.f64 (*.f64 x 99229/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 99229/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 99229/100000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 99229/100000 (sqrt.f64 x)) (sqrt.f64 x) 1))))) |
| 1× | egg-herbie |
| 626× | fma-def_binary64 |
| 536× | unswap-sqr_binary64 |
| 515× | associate-*l*_binary64 |
| 450× | associate-/r/_binary64 |
| 338× | associate-/r*_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 243 |
| 1 | 98 | 241 |
| 2 | 218 | 238 |
| 3 | 535 | 231 |
| 4 | 1433 | 228 |
| 5 | 4756 | 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) |
1 |
(+.f64 (*.f64 99229/100000 x) 1) |
(+.f64 (*.f64 99229/100000 x) 1) |
(+.f64 (*.f64 99229/100000 x) 1) |
(*.f64 99229/100000 x) |
(+.f64 (*.f64 99229/100000 x) 1) |
(+.f64 (*.f64 99229/100000 x) 1) |
(+.f64 (*.f64 99229/100000 x) 1) |
(*.f64 99229/100000 x) |
(+.f64 (*.f64 99229/100000 x) 1) |
(+.f64 (*.f64 99229/100000 x) 1) |
(+.f64 (*.f64 99229/100000 x) 1) |
| 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 2003561459544073/1000000000000000 (*.f64 x x)))) |
(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 -20191289437/10000000000 x (fma.f64 (*.f64 x x) (fma.f64 x -198811400069098819717/100000000000000000000 2003561459544073/1000000000000000) 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 (+.f64 27061/99229 (/.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 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))) |
(+.f64 (+.f64 27061/99229 (/.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 (*.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 (+.f64 27061/99229 (+.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 27061/99229 (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)))) |
(+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))) |
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (+.f64 27061/99229 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)))) |
(+.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 (+.f64 27061/99229 (/.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 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))) |
(+.f64 (+.f64 27061/99229 (/.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 (*.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 (+.f64 27061/99229 (+.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 27061/99229 (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)))) |
(+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))) |
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (+.f64 27061/99229 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)))) |
(+.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) |
1 |
(+.f64 (*.f64 99229/100000 x) 1) |
(fma.f64 99229/100000 x 1) |
(fma.f64 x 99229/100000 1) |
(+.f64 (*.f64 99229/100000 x) 1) |
(fma.f64 99229/100000 x 1) |
(fma.f64 x 99229/100000 1) |
(+.f64 (*.f64 99229/100000 x) 1) |
(fma.f64 99229/100000 x 1) |
(fma.f64 x 99229/100000 1) |
(*.f64 99229/100000 x) |
(*.f64 x 99229/100000) |
(+.f64 (*.f64 99229/100000 x) 1) |
(fma.f64 99229/100000 x 1) |
(fma.f64 x 99229/100000 1) |
(+.f64 (*.f64 99229/100000 x) 1) |
(fma.f64 99229/100000 x 1) |
(fma.f64 x 99229/100000 1) |
(+.f64 (*.f64 99229/100000 x) 1) |
(fma.f64 99229/100000 x 1) |
(fma.f64 x 99229/100000 1) |
(*.f64 99229/100000 x) |
(*.f64 x 99229/100000) |
(+.f64 (*.f64 99229/100000 x) 1) |
(fma.f64 99229/100000 x 1) |
(fma.f64 x 99229/100000 1) |
(+.f64 (*.f64 99229/100000 x) 1) |
(fma.f64 99229/100000 x 1) |
(fma.f64 x 99229/100000 1) |
(+.f64 (*.f64 99229/100000 x) 1) |
(fma.f64 99229/100000 x 1) |
(fma.f64 x 99229/100000 1) |
Compiled 6 to 4 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (/.f64 27061/4481 x) x) |
| ✓ | 0.3b | (/.f64 27061/4481 x) |
Compiled 11 to 7 computations (36.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | (-.f64 (/.f64 27061/4481 x) x) |
| 1.0ms | x | @ | 0 | (/.f64 27061/4481 x) |
| 0.0ms | x | @ | inf | (/.f64 27061/4481 x) |
| 0.0ms | x | @ | inf | (-.f64 (/.f64 27061/4481 x) x) |
| 0.0ms | x | @ | -inf | (/.f64 27061/4481 x) |
| 1× | batch-egg-rewrite |
| 653× | pow1_binary64 |
| 617× | add-log-exp_binary64 |
| 617× | log1p-expm1-u_binary64 |
| 617× | expm1-log1p-u_binary64 |
| 605× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 11 |
| 1 | 118 | 11 |
| 2 | 1648 | 11 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 27061/4481 x) |
(-.f64 (/.f64 27061/4481 x) 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 (/.f64 27061/4481 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 27061/4481 x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 27061/4481 x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 27061/4481 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 27061/4481 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (/.f64 27061/4481 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 27061/4481 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 27061/4481 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 27061/4481 x) x)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 27061/4481 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 27061/4481 x) x)) 2) (cbrt.f64 (-.f64 (/.f64 27061/4481 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (/.f64 27061/4481 x) x)) (sqrt.f64 (-.f64 (/.f64 27061/4481 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (pow.f64 x 3)) (/.f64 1 (+.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x (+.f64 x (/.f64 27061/4481 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) (/.f64 1 (+.f64 x (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 27061/4481 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (/.f64 27061/4481 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x (+.f64 x (/.f64 27061/4481 x)))) (-.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 27061/4481 x)) (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (pow.f64 x 3)) (+.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) (+.f64 x (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (pow.f64 x 3))) (neg.f64 (+.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x (+.f64 x (/.f64 27061/4481 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x))) (neg.f64 (+.f64 x (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (pow.f64 (neg.f64 x) 3)) (+.f64 (/.f64 732297721/20079361 (*.f64 x x)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (/.f64 27061/4481 x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (/.f64 27061/4481 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 27061/4481 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 27061/4481 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 27061/4481 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (/.f64 27061/4481 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 27061/4481 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (/.f64 27061/4481 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 27061/4481 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 27061/4481 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 27061/4481 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 27061/4481 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 27061/4481 (/.f64 1 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 27061/4481 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 27061/4481 x)) 2) (cbrt.f64 (/.f64 27061/4481 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 27061/4481 x)) (sqrt.f64 (/.f64 27061/4481 x)) (neg.f64 x)))))) |
| 1× | egg-herbie |
| 78× | fma-def_binary64 |
| 67× | fma-neg_binary64 |
| 36× | associate-/l*_binary64 |
| 28× | associate-/r*_binary64 |
| 21× | cancel-sign-sub-inv_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 82 |
| 1 | 18 | 73 |
| 2 | 24 | 73 |
| 3 | 29 | 73 |
| 4 | 46 | 73 |
| 5 | 75 | 73 |
| 6 | 135 | 73 |
| 7 | 197 | 73 |
| 8 | 255 | 73 |
| 9 | 310 | 73 |
| 10 | 366 | 73 |
| 11 | 412 | 73 |
| 12 | 482 | 73 |
| 13 | 502 | 73 |
| 14 | 520 | 73 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 27061/4481 x) |
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x))) |
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x))) |
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x))) |
(*.f64 -1 x) |
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x))) |
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x))) |
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x))) |
(*.f64 -1 x) |
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x))) |
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x))) |
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x))) |
| Outputs |
|---|
(/.f64 27061/4481 x) |
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x))) |
(fma.f64 -1 x (/.f64 27061/4481 x)) |
(-.f64 (/.f64 27061/4481 x) x) |
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x))) |
(fma.f64 -1 x (/.f64 27061/4481 x)) |
(-.f64 (/.f64 27061/4481 x) x) |
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x))) |
(fma.f64 -1 x (/.f64 27061/4481 x)) |
(-.f64 (/.f64 27061/4481 x) x) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x))) |
(fma.f64 -1 x (/.f64 27061/4481 x)) |
(-.f64 (/.f64 27061/4481 x) x) |
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x))) |
(fma.f64 -1 x (/.f64 27061/4481 x)) |
(-.f64 (/.f64 27061/4481 x) x) |
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x))) |
(fma.f64 -1 x (/.f64 27061/4481 x)) |
(-.f64 (/.f64 27061/4481 x) x) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x))) |
(fma.f64 -1 x (/.f64 27061/4481 x)) |
(-.f64 (/.f64 27061/4481 x) x) |
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x))) |
(fma.f64 -1 x (/.f64 27061/4481 x)) |
(-.f64 (/.f64 27061/4481 x) x) |
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x))) |
(fma.f64 -1 x (/.f64 27061/4481 x)) |
(-.f64 (/.f64 27061/4481 x) x) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) |
| ✓ | 0.1b | (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) 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) |
| 1.0ms | x | @ | -inf | (*.f64 -20191289437/10000000000 x) |
| 1.0ms | x | @ | inf | (*.f64 -20191289437/10000000000 x) |
| 1.0ms | x | @ | inf | (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x) |
| 1× | batch-egg-rewrite |
| 951× | pow1_binary64 |
| 900× | add-log-exp_binary64 |
| 900× | log1p-expm1-u_binary64 |
| 900× | expm1-log1p-u_binary64 |
| 86× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 21 |
| 1 | 165 | 16 |
| 2 | 2328 | 16 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -20191289437/10000000000 x) |
(-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x) |
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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 (*.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -20191289437/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 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 (*.f64 -20191289437/10000000000 x) (-.f64 230753/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -20191289437/10000000000 x) (+.f64 230753/100000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 230753/100000 (*.f64 x -30191289437/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 230753/100000 (*.f64 (*.f64 x -30191289437/10000000000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 230753/100000 (*.f64 x -30191289437/10000000000)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 230753/100000 (*.f64 x -30191289437/10000000000)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000) (+.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 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(#(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-def_binary64 |
| 1× | +-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 81 |
| 1 | 11 | 63 |
| 2 | 13 | 63 |
| 1× | saturated |
| Inputs |
|---|
230753/100000 |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(*.f64 -30191289437/10000000000 x) |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(*.f64 -30191289437/10000000000 x) |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
230753/100000 |
(*.f64 -20191289437/10000000000 x) |
(*.f64 -20191289437/10000000000 x) |
| Outputs |
|---|
230753/100000 |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(fma.f64 -30191289437/10000000000 x 230753/100000) |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(fma.f64 -30191289437/10000000000 x 230753/100000) |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(fma.f64 -30191289437/10000000000 x 230753/100000) |
(*.f64 -30191289437/10000000000 x) |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(fma.f64 -30191289437/10000000000 x 230753/100000) |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(fma.f64 -30191289437/10000000000 x 230753/100000) |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(fma.f64 -30191289437/10000000000 x 230753/100000) |
(*.f64 -30191289437/10000000000 x) |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(fma.f64 -30191289437/10000000000 x 230753/100000) |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(fma.f64 -30191289437/10000000000 x 230753/100000) |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(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 |
|---|---|---|
| ✓ | 0.1b | (/.f64 (/.f64 -1651231776/20079361 x) x) |
| ✓ | 0.3b | (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) |
| 0.3b | (/.f64 27061/4481 x) | |
| ✓ | 0.4b | (/.f64 -1651231776/20079361 x) |
Compiled 35 to 23 computations (34.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (/.f64 -1651231776/20079361 x) |
| 1.0ms | x | @ | 0 | (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) |
| 1.0ms | x | @ | 0 | (/.f64 -1651231776/20079361 x) |
| 1.0ms | x | @ | 0 | (/.f64 (/.f64 -1651231776/20079361 x) x) |
| 1.0ms | x | @ | -inf | (/.f64 -1651231776/20079361 x) |
| 1× | batch-egg-rewrite |
| 454× | log-prod_binary64 |
| 348× | exp-prod_binary64 |
| 339× | fma-def_binary64 |
| 297× | pow-prod-down_binary64 |
| 255× | log-div_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 1 | 193 | 24 |
| 2 | 2933 | 22 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1651231776/20079361 x) |
(+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) |
(/.f64 (/.f64 -1651231776/20079361 x) x) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 751× | times-frac_binary64 |
| 657× | fma-neg_binary64 |
| 533× | div-sub_binary64 |
| 522× | associate-/l/_binary64 |
| 434× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 216 |
| 1 | 32 | 216 |
| 2 | 57 | 216 |
| 3 | 113 | 216 |
| 4 | 293 | 216 |
| 5 | 1035 | 216 |
| 6 | 4823 | 216 |
| 7 | 7508 | 216 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))) |
(/.f64 27061/4481 x) |
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))) |
(/.f64 27061/4481 x) |
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
| Outputs |
|---|
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (*.f64 x 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 (/.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 (/.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 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 (/.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 (/.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 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 (/.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 (/.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 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (*.f64 x x)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (*.f64 x x)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (*.f64 x x)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (*.f64 x x)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (*.f64 x x)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (*.f64 x x)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (*.f64 x x)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (*.f64 x x)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (*.f64 x x)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (*.f64 x x)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (*.f64 x x)) |
(/.f64 -1651231776/20079361 (pow.f64 x 2)) |
(/.f64 -1651231776/20079361 (*.f64 x x)) |
Compiled 7656 to 5539 computations (27.7% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 505 | 5 | 510 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 4 | 5 |
| Total | 506 | 10 | 516 |
| Status | Error | Program |
|---|---|---|
| 31.0b | 230753/100000 | |
| ▶ | 27.4b | (-.f64 27061/99229 x) |
| ✓ | 0.7b | (-.f64 230753/100000 x) |
| ▶ | 31.6b | (neg.f64 x) |
| ✓ | 32.5b | (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x) |
| ✓ | 31.5b | (-.f64 (/.f64 27061/4481 x) x) |
| ▶ | 26.4b | (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000) |
| ✓ | 0.6b | (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x) |
| ✓ | 0b | (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x) |
| ▶ | 32.5b | (-.f64 (+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))) x) |
Compiled 83 to 62 computations (25.3% saved)
Compiled 4 to 2 computations (50% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000) |
| ✓ | 0.3b | (*.f64 x -30191289437/10000000000) |
Compiled 12 to 9 computations (25% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 x -30191289437/10000000000) |
| 1.0ms | x | @ | 0 | (*.f64 x -30191289437/10000000000) |
| 1.0ms | x | @ | -inf | (*.f64 x -30191289437/10000000000) |
| 1.0ms | x | @ | inf | (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000) |
| 1× | batch-egg-rewrite |
| 642× | pow1_binary64 |
| 607× | add-log-exp_binary64 |
| 607× | log1p-expm1-u_binary64 |
| 607× | expm1-log1p-u_binary64 |
| 598× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 133 | 9 |
| 2 | 1589 | 9 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x -30191289437/10000000000) |
(+.f64 (*.f64 x -30191289437/10000000000) 230753/100000) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x -30191289437/10000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -30191289437/10000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -30191289437/10000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -30191289437/10000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -27519781727879580139643921576453/1000000000000000000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x -30191289437/10000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -30191289437/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -27519781727879580139643921576453/1000000000000000000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -30191289437/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -30191289437/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -30191289437/10000000000))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x -30191289437/10000000000 230753/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x -30191289437/10000000000) 2) (fma.f64 x -30191289437/10000000000 -230753/100000)) (/.f64 53246947009/10000000000 (fma.f64 x -30191289437/10000000000 -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -30191289437/10000000000 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -30191289437/10000000000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) (pow.f64 (cbrt.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) 2) (cbrt.f64 (fma.f64 x -30191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) (sqrt.f64 (fma.f64 x -30191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 12286892763167777/1000000000000000 (*.f64 -27519781727879580139643921576453/1000000000000000000000000000000 (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 x -30191289437/10000000000) 2) (-.f64 53246947009/10000000000 (*.f64 x -6966730611456061/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x -30191289437/10000000000) 2) -53246947009/10000000000) (/.f64 1 (fma.f64 x -30191289437/10000000000 -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x -30191289437/10000000000) 2) (-.f64 53246947009/10000000000 (*.f64 x -6966730611456061/1000000000000000))) (+.f64 12286892763167777/1000000000000000 (*.f64 -27519781727879580139643921576453/1000000000000000000000000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x -30191289437/10000000000 -230753/100000) (+.f64 (pow.f64 (*.f64 x -30191289437/10000000000) 2) -53246947009/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 12286892763167777/1000000000000000 (*.f64 -27519781727879580139643921576453/1000000000000000000000000000000 (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 x -30191289437/10000000000) 2) (-.f64 53246947009/10000000000 (*.f64 x -6966730611456061/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 12286892763167777/1000000000000000 (*.f64 -27519781727879580139643921576453/1000000000000000000000000000000 (pow.f64 x 3))) (+.f64 53246947009/10000000000 (-.f64 (pow.f64 (*.f64 x -30191289437/10000000000) 2) (*.f64 x -6966730611456061/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x -30191289437/10000000000) 2) -53246947009/10000000000) (fma.f64 x -30191289437/10000000000 -230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 12286892763167777/1000000000000000 (*.f64 -27519781727879580139643921576453/1000000000000000000000000000000 (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x -30191289437/10000000000) 2) (-.f64 53246947009/10000000000 (*.f64 x -6966730611456061/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x -30191289437/10000000000) 2) -53246947009/10000000000)) (neg.f64 (fma.f64 x -30191289437/10000000000 -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 53246947009/10000000000 (pow.f64 (*.f64 x -30191289437/10000000000) 2)) (-.f64 230753/100000 (*.f64 x -30191289437/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -30191289437/10000000000 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -30191289437/10000000000 230753/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -30191289437/10000000000 230753/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -30191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -30191289437/10000000000 230753/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -30191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -30191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -30191289437/10000000000 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 -30191289437/10000000000 x 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -30191289437/10000000000) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -30191289437/10000000000)) 2) (cbrt.f64 (*.f64 x -30191289437/10000000000)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -30191289437/10000000000)) (sqrt.f64 (*.f64 x -30191289437/10000000000)) 230753/100000))))) |
| 1× | egg-herbie |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 120 |
| 1 | 8 | 102 |
| 2 | 10 | 102 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -30191289437/10000000000 x) |
(*.f64 -30191289437/10000000000 x) |
(*.f64 -30191289437/10000000000 x) |
(*.f64 -30191289437/10000000000 x) |
(*.f64 -30191289437/10000000000 x) |
(*.f64 -30191289437/10000000000 x) |
(*.f64 -30191289437/10000000000 x) |
(*.f64 -30191289437/10000000000 x) |
(*.f64 -30191289437/10000000000 x) |
(*.f64 -30191289437/10000000000 x) |
(*.f64 -30191289437/10000000000 x) |
(*.f64 -30191289437/10000000000 x) |
230753/100000 |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(*.f64 -30191289437/10000000000 x) |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(*.f64 -30191289437/10000000000 x) |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
| Outputs |
|---|
(*.f64 -30191289437/10000000000 x) |
(*.f64 -30191289437/10000000000 x) |
(*.f64 -30191289437/10000000000 x) |
(*.f64 -30191289437/10000000000 x) |
(*.f64 -30191289437/10000000000 x) |
(*.f64 -30191289437/10000000000 x) |
(*.f64 -30191289437/10000000000 x) |
(*.f64 -30191289437/10000000000 x) |
(*.f64 -30191289437/10000000000 x) |
(*.f64 -30191289437/10000000000 x) |
(*.f64 -30191289437/10000000000 x) |
(*.f64 -30191289437/10000000000 x) |
230753/100000 |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000) |
(fma.f64 -30191289437/10000000000 x 230753/100000) |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000) |
(fma.f64 -30191289437/10000000000 x 230753/100000) |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000) |
(fma.f64 -30191289437/10000000000 x 230753/100000) |
(*.f64 -30191289437/10000000000 x) |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000) |
(fma.f64 -30191289437/10000000000 x 230753/100000) |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000) |
(fma.f64 -30191289437/10000000000 x 230753/100000) |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000) |
(fma.f64 -30191289437/10000000000 x 230753/100000) |
(*.f64 -30191289437/10000000000 x) |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000) |
(fma.f64 -30191289437/10000000000 x 230753/100000) |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000) |
(fma.f64 -30191289437/10000000000 x 230753/100000) |
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x)) |
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000) |
(fma.f64 -30191289437/10000000000 x 230753/100000) |
Compiled 6 to 4 computations (33.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))) x) |
| ✓ | 0.0b | (+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))) |
| ✓ | 0.2b | (/.f64 20191289437/9846394441 x) |
| ✓ | 0.4b | (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
Compiled 45 to 28 computations (37.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
| 1.0ms | x | @ | 0 | (/.f64 20191289437/9846394441 x) |
| 1.0ms | x | @ | inf | (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
| 1.0ms | x | @ | 0 | (+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))) |
| 1.0ms | x | @ | inf | (/.f64 20191289437/9846394441 x) |
| 1× | batch-egg-rewrite |
| 736× | fma-def_binary64 |
| 564× | log-prod_binary64 |
| 326× | fma-neg_binary64 |
| 274× | log-div_binary64 |
| 242× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 46 |
| 1 | 273 | 42 |
| 2 | 4216 | 42 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 20191289437/9846394441 x) |
(+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))) |
(-.f64 (+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))) x) |
| Outputs |
|---|
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(-.f64 (/.f64 20191289437/9846394441 x) 27061/99229) 732297721/9846394441)) (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 19816708627981/977047873985989 (/.f64 8231749822918346830573921576453/954622548060541040474968308121 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 20191289437/9846394441 x) (-.f64 (/.f64 20191289437/9846394441 x) 27061/99229) 732297721/9846394441)) (*.f64 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -8231749822918346830573921576453000000000000000/932711931041639230364939495148905203788916669 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) 3)) (/.f64 1 (fma.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2)) (-.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2)) (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229)) (pow.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) 2))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -8231749822918346830573921576453000000000000000/932711931041639230364939495148905203788916669 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) 3)) (/.f64 1 (fma.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2)) (-.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2)) (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229)) (pow.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) 2))) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -2) -2019128943700000/977047873985989 (-.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 20191289437/9846394441 (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x))) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x))))) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x))) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x))) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x))))) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 732297721/9846394441 (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x))) (/.f64 1 (-.f64 27061/99229 (/.f64 20191289437/9846394441 x))) (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 732297721/9846394441 (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x))) (/.f64 1 (-.f64 27061/99229 (/.f64 20191289437/9846394441 x))) (*.f64 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) 2) (/.f64 4076881691287077769690000000000/954622548060541040474968308121 (pow.f64 x 4))) (/.f64 1 (+.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) (*.f64 2019128943700000/977047873985989 (pow.f64 x -2)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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-2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (neg.f64 x))) (sqrt.f64 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (neg.f64 x))) (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x)))) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x)))) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x)))) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 (sqrt.f64 -2019128943700000/977047873985989) x) (sqrt.f64 x)) (-.f64 (/.f64 (sqrt.f64 -2019128943700000/977047873985989) x) (sqrt.f64 x)) (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x)))))))) |
| 1× | egg-herbie |
| 543× | fma-neg_binary64 |
| 526× | associate-/l/_binary64 |
| 490× | unswap-sqr_binary64 |
| 441× | cancel-sign-sub-inv_binary64 |
| 431× | associate-*l/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 352 |
| 1 | 56 | 343 |
| 2 | 112 | 343 |
| 3 | 267 | 343 |
| 4 | 744 | 343 |
| 5 | 2101 | 343 |
| 6 | 6911 | 343 |
| 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 -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 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
(*.f64 -1 x) |
(+.f64 27061/99229 (*.f64 -1 x)) |
(+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
(*.f64 -1 x) |
(+.f64 27061/99229 (*.f64 -1 x)) |
(+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
| Outputs |
|---|
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 (/.f64 -2019128943700000/977047873985989 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 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) 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 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 (/.f64 -2019128943700000/977047873985989 x) 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 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))) |
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 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 (/.f64 -2019128943700000/977047873985989 x) 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 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))) |
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 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 (/.f64 -2019128943700000/977047873985989 x) 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 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 (/.f64 -2019128943700000/977047873985989 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 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) 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 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))) |
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 27061/99229 (fma.f64 -1 x (/.f64 20191289437/9846394441 x))) (/.f64 2019128943700000/977047873985989 (*.f64 x x))) |
(+.f64 (-.f64 (/.f64 20191289437/9846394441 x) x) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x)))) |
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 (-.f64 27061/99229 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))) |
(-.f64 (-.f64 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x) (+.f64 x -27061/99229)) (/.f64 -20191289437/9846394441 x)) |
(+.f64 (-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 27061/99229 (*.f64 -1 x)) |
(+.f64 27061/99229 (neg.f64 x)) |
(-.f64 27061/99229 x) |
(+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(+.f64 27061/99229 (fma.f64 -1 x (/.f64 20191289437/9846394441 x))) |
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 x)) |
(-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x)) |
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 27061/99229 (fma.f64 -1 x (/.f64 20191289437/9846394441 x))) (/.f64 2019128943700000/977047873985989 (*.f64 x x))) |
(+.f64 (-.f64 (/.f64 20191289437/9846394441 x) x) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x)))) |
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 (-.f64 27061/99229 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))) |
(-.f64 (-.f64 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x) (+.f64 x -27061/99229)) (/.f64 -20191289437/9846394441 x)) |
(+.f64 (-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 27061/99229 (*.f64 -1 x)) |
(+.f64 27061/99229 (neg.f64 x)) |
(-.f64 27061/99229 x) |
(+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(+.f64 27061/99229 (fma.f64 -1 x (/.f64 20191289437/9846394441 x))) |
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 x)) |
(-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x)) |
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 27061/99229 (fma.f64 -1 x (/.f64 20191289437/9846394441 x))) (/.f64 2019128943700000/977047873985989 (*.f64 x x))) |
(+.f64 (-.f64 (/.f64 20191289437/9846394441 x) x) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x)))) |
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 (-.f64 27061/99229 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))) |
(-.f64 (-.f64 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x) (+.f64 x -27061/99229)) (/.f64 -20191289437/9846394441 x)) |
(+.f64 (-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)) |
Compiled 6726 to 5056 computations (24.8% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 336 | 2 | 338 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 8 | 8 |
| Total | 338 | 10 | 348 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.7b | (-.f64 230753/100000 x) |
| ✓ | 31.6b | (neg.f64 x) |
| ▶ | 32.5b | (+.f64 (-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)) |
| ✓ | 27.4b | (-.f64 27061/99229 x) |
| ✓ | 32.5b | (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x) |
| ✓ | 31.5b | (-.f64 (/.f64 27061/4481 x) x) |
| ✓ | 26.4b | (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000) |
| ✓ | 0.6b | (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x) |
| ✓ | 0b | (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x) |
| 31.0b | 230753/100000 |
Compiled 83 to 62 computations (25.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)) |
| ✓ | 0.1b | (/.f64 (/.f64 -2019128943700000/977047873985989 x) x) |
| ✓ | 0.2b | (/.f64 -20191289437/9846394441 x) |
| ✓ | 0.5b | (/.f64 -2019128943700000/977047873985989 x) |
Compiled 39 to 27 computations (30.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 -2019128943700000/977047873985989 x) |
| 1.0ms | x | @ | 0 | (/.f64 -20191289437/9846394441 x) |
| 1.0ms | x | @ | inf | (/.f64 -2019128943700000/977047873985989 x) |
| 1.0ms | x | @ | -inf | (/.f64 -2019128943700000/977047873985989 x) |
| 1.0ms | x | @ | -inf | (+.f64 (-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)) |
| 1× | batch-egg-rewrite |
| 674× | fma-def_binary64 |
| 619× | log-prod_binary64 |
| 406× | fma-neg_binary64 |
| 335× | log-div_binary64 |
| 247× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 34 |
| 1 | 275 | 31 |
| 2 | 4349 | 31 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -2019128943700000/977047873985989 x) |
(/.f64 -20191289437/9846394441 x) |
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x) |
(+.f64 (-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)) |
| Outputs |
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| 1× | egg-herbie |
| 543× | fma-neg_binary64 |
| 526× | associate-/l/_binary64 |
| 490× | unswap-sqr_binary64 |
| 441× | cancel-sign-sub-inv_binary64 |
| 431× | associate-*l/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 220 |
| 1 | 56 | 211 |
| 2 | 112 | 211 |
| 3 | 267 | 211 |
| 4 | 744 | 211 |
| 5 | 2101 | 211 |
| 6 | 6911 | 211 |
| 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 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
(*.f64 -1 x) |
(+.f64 27061/99229 (*.f64 -1 x)) |
(+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
(*.f64 -1 x) |
(+.f64 27061/99229 (*.f64 -1 x)) |
(+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
| Outputs |
|---|
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x) |
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2)) |
(/.f64 -2019128943700000/977047873985989 (*.f64 x x)) |
(/.f64 (/.f64 -2019128943700000/977047873985989 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 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) 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 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))) |
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 27061/99229 (fma.f64 -1 x (/.f64 20191289437/9846394441 x))) (/.f64 2019128943700000/977047873985989 (*.f64 x x))) |
(+.f64 (-.f64 (/.f64 20191289437/9846394441 x) x) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x)))) |
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 (-.f64 27061/99229 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))) |
(-.f64 (-.f64 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x) (+.f64 x -27061/99229)) (/.f64 -20191289437/9846394441 x)) |
(+.f64 (-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 27061/99229 (*.f64 -1 x)) |
(+.f64 27061/99229 (neg.f64 x)) |
(-.f64 27061/99229 x) |
(+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(+.f64 27061/99229 (fma.f64 -1 x (/.f64 20191289437/9846394441 x))) |
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 x)) |
(-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x)) |
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 27061/99229 (fma.f64 -1 x (/.f64 20191289437/9846394441 x))) (/.f64 2019128943700000/977047873985989 (*.f64 x x))) |
(+.f64 (-.f64 (/.f64 20191289437/9846394441 x) x) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x)))) |
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 (-.f64 27061/99229 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))) |
(-.f64 (-.f64 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x) (+.f64 x -27061/99229)) (/.f64 -20191289437/9846394441 x)) |
(+.f64 (-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 27061/99229 (*.f64 -1 x)) |
(+.f64 27061/99229 (neg.f64 x)) |
(-.f64 27061/99229 x) |
(+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x)))) |
(+.f64 27061/99229 (fma.f64 -1 x (/.f64 20191289437/9846394441 x))) |
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 x)) |
(-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x)) |
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 27061/99229 (fma.f64 -1 x (/.f64 20191289437/9846394441 x))) (/.f64 2019128943700000/977047873985989 (*.f64 x x))) |
(+.f64 (-.f64 (/.f64 20191289437/9846394441 x) x) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x)))) |
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 (-.f64 27061/99229 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))) |
(-.f64 (-.f64 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x) (+.f64 x -27061/99229)) (/.f64 -20191289437/9846394441 x)) |
(+.f64 (-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)) |
Compiled 4333 to 3102 computations (28.4% saved)
11 alts after pruning (2 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 208 | 1 | 209 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 8 | 8 |
| Total | 208 | 11 | 219 |
| Status | Error | Program |
|---|---|---|
| 32.5b | (-.f64 (-.f64 27061/99229 x) (/.f64 (-.f64 -20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x)) x)) | |
| ✓ | 26.4b | (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000) |
| ✓ | 0.7b | (-.f64 230753/100000 x) |
| ✓ | 31.6b | (neg.f64 x) |
| ✓ | 32.5b | (+.f64 (-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)) |
| ✓ | 27.4b | (-.f64 27061/99229 x) |
| ✓ | 32.5b | (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x) |
| ✓ | 31.5b | (-.f64 (/.f64 27061/4481 x) x) |
| ✓ | 0.6b | (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x) |
| ✓ | 0b | (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x) |
| 31.0b | 230753/100000 |
Compiled 95 to 71 computations (25.3% saved)
| Inputs |
|---|
230753/100000 |
230753/100000 |
(neg.f64 x) |
(-.f64 27061/99229 x) |
(-.f64 230753/100000 x) |
(+.f64 (*.f64 x -30191289437/10000000000) 230753/100000) |
(-.f64 (/.f64 27061/4481 x) x) |
(-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x) |
(-.f64 (-.f64 27061/99229 x) (/.f64 (-.f64 -20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x)) x)) |
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x) |
(+.f64 (-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)) |
(-.f64 (+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))) x) |
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x) |
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x) |
| Outputs |
|---|
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x) |
2 calls:
| 14.0ms | x |
| 9.0ms | (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x) |
| Error | Segments | Branch |
|---|---|---|
| 0b | 1 | x |
| 0b | 1 | (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x) |
Compiled 126 to 91 computations (27.8% saved)
| Inputs |
|---|
230753/100000 |
230753/100000 |
(neg.f64 x) |
(-.f64 27061/99229 x) |
(-.f64 230753/100000 x) |
(+.f64 (*.f64 x -30191289437/10000000000) 230753/100000) |
(-.f64 (/.f64 27061/4481 x) x) |
(-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x) |
(-.f64 (-.f64 27061/99229 x) (/.f64 (-.f64 -20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x)) x)) |
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x) |
(+.f64 (-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)) |
(-.f64 (+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))) x) |
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x) |
| Outputs |
|---|
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x) |
1 calls:
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 1 | x |
Compiled 91 to 64 computations (29.7% saved)
| Inputs |
|---|
230753/100000 |
230753/100000 |
(neg.f64 x) |
(-.f64 27061/99229 x) |
(-.f64 230753/100000 x) |
(+.f64 (*.f64 x -30191289437/10000000000) 230753/100000) |
(-.f64 (/.f64 27061/4481 x) x) |
(-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x) |
(-.f64 (-.f64 27061/99229 x) (/.f64 (-.f64 -20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x)) x)) |
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x) |
(+.f64 (-.f64 (-.f64 27061/99229 x) (/.f64 -20191289437/9846394441 x)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)) |
(-.f64 (+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))) x) |
| Outputs |
|---|
(-.f64 230753/100000 x) |
1 calls:
| 13.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 1 | x |
Compiled 78 to 54 computations (30.8% saved)
| Inputs |
|---|
230753/100000 |
230753/100000 |
(neg.f64 x) |
(-.f64 27061/99229 x) |
| Outputs |
|---|
(neg.f64 x) |
230753/100000 |
(-.f64 27061/99229 x) |
1 calls:
| 21.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 3 | x |
Compiled 10 to 7 computations (30% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 0.0014684735685288471 | 7.13659387610207 |
| 34.0ms | -27.95234177957094 | -1.9082242844737576e-26 |
Compiled 22 to 17 computations (22.7% saved)
| Inputs |
|---|
230753/100000 |
230753/100000 |
(neg.f64 x) |
| Outputs |
|---|
(neg.f64 x) |
230753/100000 |
(neg.f64 x) |
1 calls:
| 17.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 3 | x |
Compiled 7 to 5 computations (28.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 0.0014684735685288471 | 7.13659387610207 |
| 34.0ms | -27.95234177957094 | -1.9082242844737576e-26 |
Compiled 22 to 17 computations (22.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0.0b (-0%)
| Inputs |
|---|
230753/100000 |
230753/100000 |
| Outputs |
|---|
230753/100000 |
1 calls:
| 5.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 31.0b | 1 | x |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
| 9× | +-commutative_binary64 |
| 5× | *-commutative_binary64 |
| 5× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 88 |
| 1 | 49 | 88 |
| 2 | 55 | 88 |
| 3 | 56 | 88 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x) |
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x) |
(-.f64 230753/100000 x) |
(if (<=.f64 x -7867884751413027/281474976710656) (neg.f64 x) (if (<=.f64 x 6772139024414657/4611686018427387904) 230753/100000 (-.f64 27061/99229 x))) |
(if (<=.f64 x -7867884751413027/281474976710656) (neg.f64 x) (if (<=.f64 x 6772139024414657/4611686018427387904) 230753/100000 (neg.f64 x))) |
230753/100000 |
| Outputs |
|---|
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x) |
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x) |
(-.f64 230753/100000 x) |
(if (<=.f64 x -7867884751413027/281474976710656) (neg.f64 x) (if (<=.f64 x 6772139024414657/4611686018427387904) 230753/100000 (-.f64 27061/99229 x))) |
(if (<=.f64 x -7867884751413027/281474976710656) (neg.f64 x) (if (<=.f64 x 6772139024414657/4611686018427387904) 230753/100000 (neg.f64 x))) |
230753/100000 |
Compiled 67 to 50 computations (25.4% saved)
Compiled 62 to 44 computations (29% saved)
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