Time bar (total: 6.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 56.2% | 43.8% | 0% | 0% | 0% | 0 |
| 0% | 0% | 56.2% | 43.8% | 0% | 0% | 0% | 1 |
| 0% | 0% | 56.2% | 43.8% | 0% | 0% | 0% | 2 |
| 25% | 14% | 42.1% | 43.8% | 0% | 0% | 0% | 3 |
| 37.5% | 21.1% | 35.1% | 43.8% | 0% | 0% | 0% | 4 |
| 56.3% | 31.6% | 24.6% | 43.8% | 0% | 0% | 0% | 5 |
| 65.6% | 36.9% | 19.3% | 43.8% | 0% | 0% | 0% | 6 |
| 76.6% | 43% | 13.2% | 43.8% | 0% | 0% | 0% | 7 |
| 82% | 46.1% | 10.1% | 43.8% | 0% | 0% | 0% | 8 |
| 87.9% | 49.4% | 6.8% | 43.8% | 0% | 0% | 0% | 9 |
| 90.8% | 51% | 5.2% | 43.8% | 0% | 0% | 0% | 10 |
| 93.8% | 52.7% | 3.5% | 43.8% | 0% | 0% | 0% | 11 |
| 95.4% | 53.6% | 2.6% | 43.8% | 0% | 0% | 0% | 12 |
Compiled 22 to 16 computations (27.3% saved)
| 1.1s | 6498× | body | 256 | valid |
| 462.0ms | 995× | body | 1024 | valid |
| 186.0ms | 655× | body | 512 | valid |
| 44.0ms | 108× | body | 2048 | valid |
| 2× | egg-herbie |
| 954× | fma-neg_binary64 |
| 548× | div-sub_binary64 |
| 439× | sub-neg_binary64 |
| 372× | times-frac_binary64 |
| 269× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 38 |
| 1 | 39 | 38 |
| 2 | 64 | 38 |
| 3 | 109 | 38 |
| 4 | 203 | 38 |
| 5 | 404 | 34 |
| 6 | 861 | 34 |
| 7 | 2067 | 34 |
| 8 | 5489 | 34 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2) |
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 2 (+.f64 beta alpha) 4))) |
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2)))) 2) |
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))) 2) |
(-.f64 (/.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 2) -1/2) |
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 2 (+.f64 beta alpha) 4))) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1/2 1/2) |
Compiled 17 to 13 computations (23.5% saved)
| 1× | egg-herbie |
| 496× | sub-neg_binary64 |
| 434× | cancel-sign-sub-inv_binary64 |
| 399× | associate-/l*_binary64 |
| 372× | div-sub_binary64 |
| 352× | distribute-rgt-in_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 19 |
| 1 | 23 | 19 |
| 2 | 40 | 19 |
| 3 | 67 | 19 |
| 4 | 119 | 19 |
| 5 | 240 | 17 |
| 6 | 449 | 17 |
| 7 | 756 | 17 |
| 8 | 1582 | 17 |
| 9 | 3687 | 17 |
| 10 | 7455 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2) |
(-.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1/2) |
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) 2 4))) |
(fma.f64 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))) -1/2 1/2) |
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) -1/2 1/2) |
Compiled 27 to 18 computations (33.3% 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 |
|---|---|---|
| ▶ | 13.4b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
Compiled 15 to 11 computations (26.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| ✓ | 1.6b | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
Compiled 50 to 23 computations (54% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | beta | @ | 0 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 1.0ms | beta | @ | 0 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 1.0ms | alpha | @ | 0 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 1.0ms | alpha | @ | inf | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 1.0ms | alpha | @ | -inf | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 1× | batch-egg-rewrite |
| 585× | fma-def_binary64 |
| 578× | log-prod_binary64 |
| 369× | fma-neg_binary64 |
| 328× | pow2_binary64 |
| 224× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 29 |
| 1 | 243 | 29 |
| 2 | 3788 | 29 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (neg.f64 (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) 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| 1× | egg-herbie |
| 734× | times-frac_binary64 |
| 534× | associate-/l*_binary64 |
| 444× | associate-/r*_binary64 |
| 384× | cancel-sign-sub-inv_binary64 |
| 330× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 218 | 2065 |
| 1 | 756 | 1949 |
| 2 | 2813 | 1769 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) |
2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) |
1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(/.f64 beta (+.f64 beta 2)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))) |
-1 |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(-.f64 (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2)))) 1) |
| Outputs |
|---|
(-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (*.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) 1)) (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2))) (-.f64 (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) 1) (/.f64 alpha (+.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) |
(+.f64 (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 (*.f64 beta beta) (+.f64 (-.f64 (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) beta))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) |
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (+.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (*.f64 (/.f64 (+.f64 alpha 2) beta) (+.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) |
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (-.f64 (-.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))) |
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (+.f64 (*.f64 alpha (-.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (pow.f64 (/.f64 (+.f64 alpha 2) beta) 3)))) |
2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (-.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(+.f64 (-.f64 2 (/.f64 alpha beta)) (-.f64 (/.f64 -2 beta) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (*.f64 (/.f64 (+.f64 alpha 2) beta) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(+.f64 (-.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (+.f64 alpha (+.f64 alpha 2))) (-.f64 (/.f64 -2 beta) (/.f64 alpha beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (+.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (*.f64 (/.f64 (+.f64 alpha 2) beta) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta))) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (fma.f64 alpha -1 -2) alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(+.f64 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (+.f64 alpha (+.f64 alpha 2))) (+.f64 (-.f64 2 (/.f64 alpha beta)) (fma.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) (-.f64 (-.f64 -2 alpha) alpha) (-.f64 (/.f64 -2 beta) (/.f64 alpha beta))))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (/.f64 beta (+.f64 2 beta))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta)))) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 2 beta)) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 2 beta)) (+.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 beta) 2))))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))))) |
(+.f64 1 (-.f64 (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) |
(+.f64 (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))) (-.f64 1 (+.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 beta) 2))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))) |
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))))) |
(+.f64 (-.f64 (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (fma.f64 (neg.f64 (pow.f64 alpha 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) 1)) |
(+.f64 (-.f64 (fma.f64 (neg.f64 (pow.f64 alpha 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) 1) (+.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (fma.f64 2 beta 2) alpha) |
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1 |
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1 |
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(+.f64 (-.f64 (/.f64 beta (+.f64 2 beta)) (+.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (/.f64 alpha (/.f64 (+.f64 2 beta) alpha)) (+.f64 (/.f64 -1 (-.f64 -2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))) |
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)))))) |
(-.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) (fma.f64 (neg.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) alpha (*.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta)) (*.f64 alpha alpha)))) (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) |
(-.f64 (+.f64 (-.f64 (/.f64 beta (+.f64 2 beta)) (+.f64 (/.f64 alpha (+.f64 2 beta)) (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (/.f64 alpha (/.f64 (+.f64 2 beta) alpha)) (+.f64 (/.f64 -1 (-.f64 -2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) |
-1 |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(-.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1)) |
(-.f64 (/.f64 beta alpha) (-.f64 1 (/.f64 (+.f64 2 beta) alpha))) |
(+.f64 -1 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) |
(-.f64 (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(+.f64 (/.f64 beta alpha) (-.f64 (neg.f64 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (*.f64 alpha alpha))) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1))) |
(-.f64 (-.f64 (/.f64 beta alpha) (*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) (-.f64 1 (/.f64 (+.f64 2 beta) alpha))) |
(+.f64 -1 (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha)))) |
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(+.f64 (/.f64 beta alpha) (-.f64 (fma.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (*.f64 alpha alpha)) (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1))) |
(+.f64 (-.f64 (/.f64 beta alpha) (*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 2 beta)))) (-.f64 1 (/.f64 (+.f64 2 beta) alpha)))) |
(+.f64 -1 (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) (*.f64 alpha alpha)) (-.f64 (+.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1) |
(-.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1)) |
(-.f64 (/.f64 beta alpha) (-.f64 1 (/.f64 (+.f64 2 beta) alpha))) |
(+.f64 -1 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) 1) |
(+.f64 (/.f64 beta alpha) (-.f64 (neg.f64 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (*.f64 alpha alpha))) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1))) |
(-.f64 (-.f64 (/.f64 beta alpha) (*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) (-.f64 1 (/.f64 (+.f64 2 beta) alpha))) |
(+.f64 -1 (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2)))) 1) |
(+.f64 (/.f64 beta alpha) (-.f64 (fma.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (*.f64 alpha alpha)) (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1))) |
(+.f64 (-.f64 (/.f64 beta alpha) (*.f64 (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 2 beta)))) (-.f64 1 (/.f64 (+.f64 2 beta) alpha)))) |
(+.f64 -1 (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) (*.f64 alpha alpha)) (-.f64 (+.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))))) |
Compiled 5988 to 4144 computations (30.8% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 207 | 7 | 214 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 207 | 8 | 215 |
| Status | Error | Program |
|---|---|---|
| ▶ | 48.2b | (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
| ▶ | 27.9b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| ✓ | 13.4b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 49.2b | (/.f64 (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) (*.f64 alpha alpha)) (-.f64 (+.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)))) 2) | |
| ▶ | 14.3b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| ▶ | 61.7b | (/.f64 (+.f64 -1 1) 2) |
| 49.3b | (/.f64 (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) | |
| ▶ | 41.0b | (/.f64 2 2) |
Compiled 209 to 165 computations (21.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 beta (+.f64 beta 2)) |
Compiled 29 to 21 computations (27.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | beta | @ | 0 | (/.f64 beta (+.f64 beta 2)) |
| 0.0ms | beta | @ | inf | (/.f64 beta (+.f64 beta 2)) |
| 0.0ms | beta | @ | -inf | (/.f64 beta (+.f64 beta 2)) |
| 1× | batch-egg-rewrite |
| 672× | pow1_binary64 |
| 633× | add-log-exp_binary64 |
| 632× | log1p-expm1-u_binary64 |
| 632× | expm1-log1p-u_binary64 |
| 622× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 117 | 7 |
| 2 | 1628 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 beta (+.f64 beta 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 2)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta 2) beta) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2)))))))) |
| 1× | egg-herbie |
| 805× | unswap-sqr_binary64 |
| 735× | distribute-neg-frac_binary64 |
| 530× | associate-/r*_binary64 |
| 357× | fma-def_binary64 |
| 334× | times-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 156 |
| 1 | 91 | 156 |
| 2 | 227 | 153 |
| 3 | 651 | 145 |
| 4 | 2162 | 145 |
| 5 | 6011 | 145 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 beta) |
(+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2))) |
(+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))) |
(+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
| Outputs |
|---|
(*.f64 1/2 beta) |
(+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2))) |
(fma.f64 1/2 beta (*.f64 -1/4 (*.f64 beta beta))) |
(fma.f64 1/2 beta (*.f64 beta (*.f64 beta -1/4))) |
(*.f64 beta (+.f64 1/2 (*.f64 beta -1/4))) |
(*.f64 beta (fma.f64 beta -1/4 1/2)) |
(+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))) |
(fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3)))) |
(fma.f64 1/2 beta (*.f64 (*.f64 beta beta) (+.f64 -1/4 (*.f64 beta 1/8)))) |
(*.f64 beta (+.f64 1/2 (*.f64 beta (fma.f64 beta 1/8 -1/4)))) |
(+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))) |
(fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3))))) |
(fma.f64 1/2 beta (fma.f64 -1/16 (pow.f64 beta 4) (*.f64 (*.f64 beta beta) (+.f64 -1/4 (*.f64 beta 1/8))))) |
(fma.f64 beta (fma.f64 beta -1/4 1/2) (*.f64 (pow.f64 beta 3) (+.f64 1/8 (*.f64 beta -1/16)))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 beta))) |
(-.f64 1 (/.f64 2 beta)) |
(+.f64 1 (/.f64 -2 beta)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta))) |
(+.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (/.f64 -2 beta)) |
(+.f64 1 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta))) |
(+.f64 (-.f64 1 (/.f64 2 beta)) (/.f64 4 (*.f64 beta beta))) |
(+.f64 (+.f64 1 (/.f64 -2 beta)) (/.f64 4 (*.f64 beta beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (-.f64 1 (/.f64 8 (pow.f64 beta 3)))) (/.f64 -2 beta)) |
(+.f64 (/.f64 -2 beta) (-.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 1 (+.f64 (/.f64 -2 beta) (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 8 (pow.f64 beta 3))))) |
(+.f64 (-.f64 1 (/.f64 2 beta)) (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 (+.f64 (+.f64 1 (/.f64 -2 beta)) (/.f64 4 (*.f64 beta beta))) (/.f64 -8 (pow.f64 beta 3))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 beta))) |
(-.f64 1 (/.f64 2 beta)) |
(+.f64 1 (/.f64 -2 beta)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta))) |
(+.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (/.f64 -2 beta)) |
(+.f64 1 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta))) |
(+.f64 (-.f64 1 (/.f64 2 beta)) (/.f64 4 (*.f64 beta beta))) |
(+.f64 (+.f64 1 (/.f64 -2 beta)) (/.f64 4 (*.f64 beta beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (-.f64 1 (/.f64 8 (pow.f64 beta 3)))) (/.f64 -2 beta)) |
(+.f64 (/.f64 -2 beta) (-.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 1 (+.f64 (/.f64 -2 beta) (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 8 (pow.f64 beta 3))))) |
(+.f64 (-.f64 1 (/.f64 2 beta)) (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 (+.f64 (+.f64 1 (/.f64 -2 beta)) (/.f64 4 (*.f64 beta beta))) (/.f64 -8 (pow.f64 beta 3))) |
Compiled 6 to 6 computations (0% saved)
Compiled 13 to 13 computations (0% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 alpha (+.f64 alpha 2)) |
| ✓ | 2.1b | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
Compiled 29 to 21 computations (27.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | alpha | @ | 0 | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
| 1.0ms | alpha | @ | inf | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
| 1.0ms | alpha | @ | -inf | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
| 1.0ms | alpha | @ | inf | (/.f64 alpha (+.f64 alpha 2)) |
| 1.0ms | alpha | @ | 0 | (/.f64 alpha (+.f64 alpha 2)) |
| 1× | batch-egg-rewrite |
| 904× | pow1_binary64 |
| 849× | add-log-exp_binary64 |
| 848× | log1p-expm1-u_binary64 |
| 848× | expm1-log1p-u_binary64 |
| 835× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 160 | 17 |
| 2 | 2193 | 17 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(/.f64 alpha (+.f64 alpha 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 alpha (/.f64 1 (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 1 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 alpha) (/.f64 1 (+.f64 (neg.f64 alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha 2)) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 alpha (+.f64 (neg.f64 alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2)))))))) |
| 1× | egg-herbie |
| 690× | times-frac_binary64 |
| 658× | fma-def_binary64 |
| 385× | associate-*r/_binary64 |
| 371× | fma-neg_binary64 |
| 352× | associate-*l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 339 |
| 1 | 147 | 337 |
| 2 | 399 | 330 |
| 3 | 1149 | 316 |
| 4 | 3623 | 316 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 alpha)) |
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))) |
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(*.f64 1/2 alpha) |
(+.f64 (*.f64 1/2 alpha) (*.f64 -1/4 (pow.f64 alpha 2))) |
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2)))) |
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha)))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha)))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 alpha)) |
(fma.f64 -1/2 alpha 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))) |
(+.f64 1 (fma.f64 -1/2 alpha (*.f64 1/4 (*.f64 alpha alpha)))) |
(+.f64 (fma.f64 -1/2 alpha 1) (*.f64 alpha (*.f64 alpha 1/4))) |
(fma.f64 -1/2 alpha (fma.f64 alpha (*.f64 alpha 1/4) 1)) |
(fma.f64 alpha (fma.f64 alpha 1/4 -1/2) 1) |
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))) |
(fma.f64 -1/8 (pow.f64 alpha 3) (+.f64 1 (fma.f64 -1/2 alpha (*.f64 1/4 (*.f64 alpha alpha))))) |
(+.f64 (fma.f64 -1/2 alpha (*.f64 alpha (*.f64 alpha 1/4))) (fma.f64 -1/8 (pow.f64 alpha 3) 1)) |
(fma.f64 -1/8 (pow.f64 alpha 3) (fma.f64 -1/2 alpha (fma.f64 alpha (*.f64 alpha 1/4) 1))) |
(fma.f64 -1/8 (pow.f64 alpha 3) (fma.f64 alpha (fma.f64 alpha 1/4 -1/2) 1)) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 2 alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) |
(+.f64 (/.f64 2 alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) |
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 -16 (pow.f64 alpha 4))))) |
(+.f64 (/.f64 2 alpha) (-.f64 (/.f64 -4 (*.f64 alpha alpha)) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 -8 (pow.f64 alpha 3))))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 2 alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) |
(+.f64 (/.f64 2 alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) |
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 -16 (pow.f64 alpha 4))))) |
(+.f64 (/.f64 2 alpha) (-.f64 (/.f64 -4 (*.f64 alpha alpha)) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 -8 (pow.f64 alpha 3))))) |
(*.f64 1/2 alpha) |
(*.f64 alpha 1/2) |
(+.f64 (*.f64 1/2 alpha) (*.f64 -1/4 (pow.f64 alpha 2))) |
(fma.f64 1/2 alpha (*.f64 (*.f64 alpha alpha) -1/4)) |
(fma.f64 alpha 1/2 (*.f64 alpha (*.f64 alpha -1/4))) |
(*.f64 alpha (+.f64 1/2 (*.f64 alpha -1/4))) |
(*.f64 alpha (fma.f64 alpha -1/4 1/2)) |
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2)))) |
(fma.f64 1/2 alpha (fma.f64 1/8 (pow.f64 alpha 3) (*.f64 (*.f64 alpha alpha) -1/4))) |
(fma.f64 alpha 1/2 (fma.f64 (pow.f64 alpha 3) 1/8 (*.f64 alpha (*.f64 alpha -1/4)))) |
(fma.f64 alpha 1/2 (*.f64 (*.f64 alpha alpha) (+.f64 -1/4 (*.f64 alpha 1/8)))) |
(*.f64 alpha (+.f64 1/2 (*.f64 alpha (fma.f64 alpha 1/8 -1/4)))) |
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))) |
(fma.f64 1/2 alpha (fma.f64 -1/16 (pow.f64 alpha 4) (fma.f64 1/8 (pow.f64 alpha 3) (*.f64 (*.f64 alpha alpha) -1/4)))) |
(fma.f64 alpha 1/2 (fma.f64 (pow.f64 alpha 4) -1/16 (fma.f64 (pow.f64 alpha 3) 1/8 (*.f64 alpha (*.f64 alpha -1/4))))) |
(fma.f64 alpha 1/2 (fma.f64 (pow.f64 alpha 4) -1/16 (*.f64 (*.f64 alpha alpha) (+.f64 -1/4 (*.f64 alpha 1/8))))) |
(fma.f64 alpha (fma.f64 alpha -1/4 1/2) (*.f64 (pow.f64 alpha 3) (+.f64 1/8 (*.f64 alpha -1/16)))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(-.f64 1 (/.f64 2 alpha)) |
(+.f64 1 (/.f64 -2 alpha)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (/.f64 4 (*.f64 alpha alpha))) (/.f64 2 alpha)) |
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 1 (/.f64 -2 alpha))) |
(+.f64 1 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -2 alpha))) |
(+.f64 1 (-.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))))) |
(-.f64 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 1 (/.f64 -2 alpha))) (/.f64 8 (pow.f64 alpha 3))) |
(+.f64 1 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 (/.f64 -2 alpha) (/.f64 -8 (pow.f64 alpha 3))))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (+.f64 (/.f64 -2 alpha) (/.f64 -8 (pow.f64 alpha 3))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(-.f64 1 (/.f64 2 alpha)) |
(+.f64 1 (/.f64 -2 alpha)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (/.f64 4 (*.f64 alpha alpha))) (/.f64 2 alpha)) |
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 1 (/.f64 -2 alpha))) |
(+.f64 1 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -2 alpha))) |
(+.f64 1 (-.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))))) |
(-.f64 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 1 (/.f64 -2 alpha))) (/.f64 8 (pow.f64 alpha 3))) |
(+.f64 1 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 (/.f64 -2 alpha) (/.f64 -8 (pow.f64 alpha 3))))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (+.f64 (/.f64 -2 alpha) (/.f64 -8 (pow.f64 alpha 3))))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
Compiled 29 to 14 computations (51.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | alpha | @ | 0 | (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
| 1.0ms | beta | @ | 0 | (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
| 1.0ms | beta | @ | inf | (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
| 1.0ms | alpha | @ | -inf | (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
| 1.0ms | alpha | @ | inf | (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
| 1× | batch-egg-rewrite |
| 908× | pow1_binary64 |
| 853× | add-log-exp_binary64 |
| 851× | log1p-expm1-u_binary64 |
| 851× | expm1-log1p-u_binary64 |
| 838× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 165 | 8 |
| 2 | 2487 | 8 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fma.f64 2 beta 2) alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 beta 2) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 2 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 2 beta 2)) (/.f64 1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (fma.f64 2 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 beta 2) 3) (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha))))))) |
| 1× | egg-herbie |
| 57× | fma-def_binary64 |
| 14× | associate-*r*_binary64 |
| 12× | *-commutative_binary64 |
| 12× | associate-/l*_binary64 |
| 10× | associate-/r*_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 249 |
| 1 | 26 | 249 |
| 2 | 41 | 249 |
| 3 | 45 | 249 |
| 4 | 54 | 228 |
| 5 | 73 | 186 |
| 6 | 98 | 186 |
| 7 | 153 | 186 |
| 8 | 188 | 186 |
| 9 | 190 | 186 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 2 alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 2 (/.f64 beta alpha)) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 2 (/.f64 beta alpha)) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| Outputs |
|---|
(/.f64 2 alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (+.f64 beta 1) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (+.f64 beta 1) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (+.f64 beta 1) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 beta (/.f64 2 alpha)) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (+.f64 beta 1) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (+.f64 beta 1) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (+.f64 beta 1) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 beta (/.f64 2 alpha)) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (+.f64 beta 1) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (+.f64 beta 1) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (+.f64 beta 1) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (+.f64 beta 1) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (+.f64 beta 1) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (+.f64 beta 1) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (+.f64 beta 1) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (+.f64 beta 1) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (+.f64 beta 1) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (+.f64 beta 1) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (+.f64 beta 1) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (+.f64 beta 1) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (+.f64 beta 1) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (+.f64 beta 1) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(*.f64 (+.f64 beta 1) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
Compiled 2524 to 2007 computations (20.5% saved)
13 alts after pruning (8 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 165 | 7 | 172 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 4 | 5 |
| Total | 167 | 13 | 180 |
| Status | Error | Program |
|---|---|---|
| ✓ | 48.2b | (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
| ▶ | 49.3b | (/.f64 (/.f64 2 alpha) 2) |
| ▶ | 50.5b | (/.f64 (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) 2) |
| ✓ | 27.9b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| 28.9b | (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) | |
| ✓ | 13.4b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| ✓ | 14.3b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| ▶ | 50.2b | (/.f64 (+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) 2) |
| ▶ | 30.1b | (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
| 49.3b | (/.f64 (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) | |
| 60.4b | (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) | |
| ✓ | 41.0b | (/.f64 2 2) |
| ▶ | 28.1b | (/.f64 1 2) |
Compiled 233 to 190 computations (18.5% saved)
Compiled 7 to 7 computations (0% saved)
Compiled 12 to 9 computations (25% saved)
Compiled 21 to 17 computations (19% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (/.f64 4 alpha) alpha) |
| ✓ | 0.3b | (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) |
Compiled 36 to 25 computations (30.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | alpha | @ | 0 | (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) |
| 1.0ms | alpha | @ | 0 | (/.f64 (/.f64 4 alpha) alpha) |
| 1.0ms | alpha | @ | inf | (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) |
| 1.0ms | alpha | @ | -inf | (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) |
| 1.0ms | alpha | @ | inf | (/.f64 (/.f64 4 alpha) alpha) |
| 1× | batch-egg-rewrite |
| 474× | fma-def_binary64 |
| 442× | log-prod_binary64 |
| 332× | exp-prod_binary64 |
| 288× | fma-neg_binary64 |
| 286× | pow-prod-down_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 194 | 17 |
| 2 | 2959 | 17 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) |
(/.f64 (/.f64 4 alpha) alpha) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 alpha) (*.f64 (/.f64 -4 (*.f64 alpha alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) (fma.f64 (neg.f64 (/.f64 1 alpha)) (/.f64 4 alpha) (*.f64 4 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) (fma.f64 (/.f64 -4 (*.f64 alpha alpha)) 1 (*.f64 4 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 4 (pow.f64 alpha -2)))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (*.f64 4 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) (+.f64 (/.f64 -4 (*.f64 alpha alpha)) (*.f64 4 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 2 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exp.f64 (*.f64 (log.f64 (*.f64 alpha (*.f64 alpha 1/4))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 alpha)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 2 alpha))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 2 alpha))) 3) 1/3)))))) |
| 1× | egg-herbie |
| 753× | times-frac_binary64 |
| 657× | fma-neg_binary64 |
| 533× | div-sub_binary64 |
| 521× | associate-/l/_binary64 |
| 434× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 216 |
| 1 | 31 | 216 |
| 2 | 55 | 216 |
| 3 | 111 | 216 |
| 4 | 293 | 216 |
| 5 | 1031 | 216 |
| 6 | 4819 | 216 |
| 7 | 7507 | 216 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -4 (pow.f64 alpha 2)) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
| Outputs |
|---|
(/.f64 -4 (pow.f64 alpha 2)) |
(/.f64 -4 (*.f64 alpha alpha)) |
(/.f64 (/.f64 -4 alpha) alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 (/.f64 -4 alpha) alpha)) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 (/.f64 -4 alpha) alpha)) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 (/.f64 -4 alpha) alpha)) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 (/.f64 -4 alpha) alpha)) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 (/.f64 -4 alpha) alpha)) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 (/.f64 -4 alpha) alpha)) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 (/.f64 -4 alpha) alpha)) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 (/.f64 -4 alpha) alpha)) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 (/.f64 -4 alpha) alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 -4 (*.f64 alpha alpha)) |
| ✓ | 0.2b | (/.f64 8 (pow.f64 alpha 3)) |
| ✓ | 0.3b | (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
| ✓ | 9.4b | (+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) |
Compiled 67 to 44 computations (34.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | alpha | @ | -inf | (+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) |
| 1.0ms | alpha | @ | 0 | (+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) |
| 1.0ms | alpha | @ | 0 | (/.f64 8 (pow.f64 alpha 3)) |
| 0.0ms | alpha | @ | 0 | (/.f64 -4 (*.f64 alpha alpha)) |
| 0.0ms | alpha | @ | inf | (+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) |
| 1× | batch-egg-rewrite |
| 753× | fma-def_binary64 |
| 612× | log-prod_binary64 |
| 359× | fma-neg_binary64 |
| 355× | log-div_binary64 |
| 251× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 49 |
| 1 | 313 | 43 |
| 2 | 4602 | 43 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(/.f64 8 (pow.f64 alpha 3)) |
(/.f64 -4 (*.f64 alpha alpha)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 8 (pow.f64 alpha -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 8) (pow.f64 alpha -3))) (cbrt.f64 (pow.f64 (exp.f64 8) (pow.f64 alpha -3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8) (pow.f64 alpha -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8) (pow.f64 alpha -3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8) (pow.f64 alpha -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 8 (pow.f64 alpha -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 alpha) (pow.f64 (/.f64 2 alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (pow.f64 alpha -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (pow.f64 (/.f64 1 alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8 (pow.f64 alpha -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 8 (pow.f64 alpha -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 2 alpha) 2) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2)) (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -8 (/.f64 1 (neg.f64 (pow.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 alpha -3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 2 alpha) 2)) 3) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 2 alpha)) 3) (pow.f64 (sqrt.f64 (/.f64 2 alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 2 alpha) 3/2) (pow.f64 (/.f64 2 alpha) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 2 alpha) 2) 2) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 2 alpha) 2) 1) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 2 alpha) 2) (cbrt.f64 (pow.f64 (/.f64 2 alpha) 2))) (cbrt.f64 (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 2 alpha) 2) (sqrt.f64 (/.f64 2 alpha))) (sqrt.f64 (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 alpha) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8 (pow.f64 alpha -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 512 (pow.f64 (pow.f64 alpha -3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 alpha 3) 1/8) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 64 (pow.f64 alpha 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 8) (pow.f64 alpha -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 8 (pow.f64 alpha -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 512 (pow.f64 (pow.f64 alpha -3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 8 (pow.f64 alpha -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 8 (pow.f64 alpha -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 2 alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 alpha)) 3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -4 (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (pow.f64 alpha -2))) (cbrt.f64 (pow.f64 (exp.f64 -4) (pow.f64 alpha -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (pow.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4) (pow.f64 alpha -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4) (pow.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -4 (pow.f64 alpha -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (pow.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -4 (pow.f64 alpha -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -4 (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1 (*.f64 alpha (neg.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -4 (pow.f64 alpha -2))) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (cbrt.f64 (*.f64 -4 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -4) alpha) (/.f64 (sqrt.f64 -4) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 alpha -2) -4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 alpha) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -4 (pow.f64 alpha -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -4 (pow.f64 alpha -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -4) alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -64 (pow.f64 alpha 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 alpha alpha) -1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16 (pow.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -4) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -4 (pow.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -64 (pow.f64 alpha 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -4 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -4 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -4 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -4 (pow.f64 alpha -2))) 1)))))) |
| 1× | egg-herbie |
| 747× | distribute-neg-frac_binary64 |
| 691× | fma-neg_binary64 |
| 536× | unswap-sqr_binary64 |
| 479× | associate-/r/_binary64 |
| 369× | distribute-rgt-neg-in_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 405 |
| 1 | 62 | 405 |
| 2 | 118 | 405 |
| 3 | 238 | 405 |
| 4 | 640 | 405 |
| 5 | 2676 | 393 |
| 6 | 6164 | 393 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 8 (pow.f64 alpha 3)) |
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 -4 (pow.f64 alpha 2)) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 -4 (pow.f64 alpha 2)) |
(/.f64 -4 (pow.f64 alpha 2)) |
(/.f64 -4 (pow.f64 alpha 2)) |
(/.f64 -4 (pow.f64 alpha 2)) |
(/.f64 -4 (pow.f64 alpha 2)) |
(/.f64 -4 (pow.f64 alpha 2)) |
(/.f64 -4 (pow.f64 alpha 2)) |
(/.f64 -4 (pow.f64 alpha 2)) |
(/.f64 -4 (pow.f64 alpha 2)) |
(/.f64 -4 (pow.f64 alpha 2)) |
(/.f64 -4 (pow.f64 alpha 2)) |
(/.f64 -4 (pow.f64 alpha 2)) |
| Outputs |
|---|
(/.f64 8 (pow.f64 alpha 3)) |
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 -8 (pow.f64 alpha 3))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 2 alpha)) (/.f64 -4 (*.f64 alpha alpha))) |
(fma.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 -4 (/.f64 8 alpha)) (/.f64 2 alpha)) |
(fma.f64 (/.f64 (/.f64 -1 alpha) alpha) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 2 alpha)) (/.f64 -4 (*.f64 alpha alpha))) |
(fma.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 -4 (/.f64 8 alpha)) (/.f64 2 alpha)) |
(fma.f64 (/.f64 (/.f64 -1 alpha) alpha) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha)) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 2 alpha)) (/.f64 -4 (*.f64 alpha alpha))) |
(fma.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 -4 (/.f64 8 alpha)) (/.f64 2 alpha)) |
(fma.f64 (/.f64 (/.f64 -1 alpha) alpha) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha)) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 2 alpha)) (/.f64 -4 (*.f64 alpha alpha))) |
(fma.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 -4 (/.f64 8 alpha)) (/.f64 2 alpha)) |
(fma.f64 (/.f64 (/.f64 -1 alpha) alpha) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha)) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 2 alpha)) (/.f64 -4 (*.f64 alpha alpha))) |
(fma.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 -4 (/.f64 8 alpha)) (/.f64 2 alpha)) |
(fma.f64 (/.f64 (/.f64 -1 alpha) alpha) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha)) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 2 alpha)) (/.f64 -4 (*.f64 alpha alpha))) |
(fma.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 -4 (/.f64 8 alpha)) (/.f64 2 alpha)) |
(fma.f64 (/.f64 (/.f64 -1 alpha) alpha) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha)) |
(/.f64 -4 (pow.f64 alpha 2)) |
(/.f64 -4 (*.f64 alpha alpha)) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) |
(/.f64 -4 (pow.f64 alpha 2)) |
(/.f64 -4 (*.f64 alpha alpha)) |
(/.f64 -4 (pow.f64 alpha 2)) |
(/.f64 -4 (*.f64 alpha alpha)) |
(/.f64 -4 (pow.f64 alpha 2)) |
(/.f64 -4 (*.f64 alpha alpha)) |
(/.f64 -4 (pow.f64 alpha 2)) |
(/.f64 -4 (*.f64 alpha alpha)) |
(/.f64 -4 (pow.f64 alpha 2)) |
(/.f64 -4 (*.f64 alpha alpha)) |
(/.f64 -4 (pow.f64 alpha 2)) |
(/.f64 -4 (*.f64 alpha alpha)) |
(/.f64 -4 (pow.f64 alpha 2)) |
(/.f64 -4 (*.f64 alpha alpha)) |
(/.f64 -4 (pow.f64 alpha 2)) |
(/.f64 -4 (*.f64 alpha alpha)) |
(/.f64 -4 (pow.f64 alpha 2)) |
(/.f64 -4 (*.f64 alpha alpha)) |
(/.f64 -4 (pow.f64 alpha 2)) |
(/.f64 -4 (*.f64 alpha alpha)) |
(/.f64 -4 (pow.f64 alpha 2)) |
(/.f64 -4 (*.f64 alpha alpha)) |
(/.f64 -4 (pow.f64 alpha 2)) |
(/.f64 -4 (*.f64 alpha alpha)) |
Compiled 10719 to 8441 computations (21.3% saved)
14 alts after pruning (5 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 489 | 2 | 491 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 9 | 9 |
| Total | 490 | 14 | 504 |
| Status | Error | Program |
|---|---|---|
| ▶ | 50.2b | (/.f64 (fma.f64 (/.f64 (/.f64 -1 alpha) alpha) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha)) 2) |
| ✓ | 48.2b | (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
| ▶ | 50.5b | (/.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2) |
| ✓ | 49.3b | (/.f64 (/.f64 2 alpha) 2) |
| ✓ | 50.5b | (/.f64 (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) 2) |
| ✓ | 27.9b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| ▶ | 28.9b | (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
| ✓ | 13.4b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| ✓ | 14.3b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| ✓ | 30.1b | (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
| ▶ | 49.3b | (/.f64 (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) |
| ▶ | 60.4b | (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
| ✓ | 41.0b | (/.f64 2 2) |
| ✓ | 28.1b | (/.f64 1 2) |
Compiled 219 to 177 computations (19.2% saved)
Compiled 21 to 17 computations (19% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 2 (/.f64 beta alpha)) |
Compiled 20 to 10 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | beta | @ | inf | (*.f64 2 (/.f64 beta alpha)) |
| 1.0ms | beta | @ | 0 | (*.f64 2 (/.f64 beta alpha)) |
| 1.0ms | alpha | @ | inf | (*.f64 2 (/.f64 beta alpha)) |
| 1.0ms | alpha | @ | 0 | (*.f64 2 (/.f64 beta alpha)) |
| 1.0ms | beta | @ | -inf | (*.f64 2 (/.f64 beta alpha)) |
| 1× | batch-egg-rewrite |
| 652× | pow1_binary64 |
| 604× | add-log-exp_binary64 |
| 604× | log1p-expm1-u_binary64 |
| 604× | expm1-log1p-u_binary64 |
| 592× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 127 | 7 |
| 2 | 1608 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 (/.f64 beta alpha)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 alpha (*.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 beta) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 beta)) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 beta) 1) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 beta) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 beta) (sqrt.f64 alpha)) (sqrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 beta) 2) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 beta)) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 beta alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (/.f64 beta alpha)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 2 (/.f64 -4 alpha)) |
| ✓ | 0.1b | (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
Compiled 29 to 22 computations (24.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | 0 | (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
| 1.0ms | alpha | @ | -inf | (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
| 1.0ms | alpha | @ | inf | (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
| 0.0ms | alpha | @ | 0 | (+.f64 2 (/.f64 -4 alpha)) |
| 0.0ms | alpha | @ | -inf | (+.f64 2 (/.f64 -4 alpha)) |
| 1× | batch-egg-rewrite |
| 873× | pow1_binary64 |
| 823× | add-log-exp_binary64 |
| 822× | log1p-expm1-u_binary64 |
| 822× | expm1-log1p-u_binary64 |
| 810× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 162 | 17 |
| 2 | 2152 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(+.f64 2 (/.f64 -4 alpha)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (/.f64 -4 alpha)) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) 2) (*.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 (/.f64 -4 alpha))) (*.f64 (sqrt.f64 (+.f64 2 (/.f64 -4 alpha))) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) (sqrt.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (/.f64 -4 alpha)) -2) (/.f64 1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (+.f64 2 (/.f64 -4 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 2 (/.f64 -4 alpha))) 1) (/.f64 (sqrt.f64 (+.f64 2 (/.f64 -4 alpha))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 2 (/.f64 -4 alpha))) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 2 (/.f64 -4 alpha))) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (+.f64 2 (/.f64 -4 alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (/.f64 -4 alpha)) 3) (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 2 (/.f64 -4 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (-.f64 2 (/.f64 -4 alpha))) (/.f64 (/.f64 16 (*.f64 alpha alpha)) (-.f64 2 (/.f64 -4 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (/.f64 -4 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 2 (/.f64 -4 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) 2) (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 (/.f64 -4 alpha))) (sqrt.f64 (+.f64 2 (/.f64 -4 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 8 (pow.f64 (/.f64 -4 alpha) 3)) (/.f64 1 (+.f64 4 (-.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 -8 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (/.f64 16 (*.f64 alpha alpha))) (/.f64 1 (-.f64 2 (/.f64 -4 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4 (-.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 -8 alpha))) (+.f64 8 (pow.f64 (/.f64 -4 alpha) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 2 (/.f64 -4 alpha)) (-.f64 4 (/.f64 16 (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (/.f64 -4 alpha) 3)) (+.f64 4 (-.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 -8 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (/.f64 -4 alpha) 3)) (+.f64 (/.f64 16 (*.f64 alpha alpha)) (-.f64 4 (/.f64 -8 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (/.f64 16 (*.f64 alpha alpha))) (-.f64 2 (/.f64 -4 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 8 (pow.f64 (/.f64 -4 alpha) 3))) (neg.f64 (+.f64 4 (-.f64 (/.f64 16 (*.f64 alpha alpha)) (/.f64 -8 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (/.f64 16 (*.f64 alpha alpha)))) (neg.f64 (-.f64 2 (/.f64 -4 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 16 (*.f64 alpha alpha)) 4) (-.f64 (/.f64 -4 alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (/.f64 -4 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 -4 alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -4 alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 (/.f64 -4 alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 (/.f64 -4 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 2 (/.f64 -4 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (/.f64 -4 alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 2 (/.f64 -4 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 2 (/.f64 -4 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 2 (/.f64 -4 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 (/.f64 1 alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -4 alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -4 alpha)) 2) (cbrt.f64 (/.f64 -4 alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -4 alpha)) (sqrt.f64 (/.f64 -4 alpha)) 2))))) |
| 1× | egg-herbie |
| 856× | fma-neg_binary64 |
| 572× | associate-/l*_binary64 |
| 541× | fma-def_binary64 |
| 445× | associate-/r/_binary64 |
| 434× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 201 |
| 1 | 40 | 201 |
| 2 | 70 | 201 |
| 3 | 149 | 201 |
| 4 | 412 | 201 |
| 5 | 1563 | 201 |
| 6 | 4307 | 201 |
| 7 | 6551 | 201 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -4 (pow.f64 alpha 2)) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 -4 alpha) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
2 |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
2 |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
| Outputs |
|---|
(/.f64 -4 (pow.f64 alpha 2)) |
(/.f64 -4 (*.f64 alpha alpha)) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(/.f64 -4 alpha) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
2 |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
2 |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
(-.f64 2 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 2 (/.f64 4 alpha)) |
(+.f64 2 (/.f64 -4 alpha)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) |
| ✓ | 0.0b | (/.f64 (-.f64 -2 beta) alpha) |
| ✓ | 0.2b | (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) |
Compiled 69 to 50 computations (27.5% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | beta | @ | inf | (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) |
| 2.0ms | beta | @ | inf | (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) |
| 1.0ms | beta | @ | 0 | (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) |
| 1.0ms | alpha | @ | 0 | (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) |
| 1.0ms | alpha | @ | inf | (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) |
| 1× | batch-egg-rewrite |
| 744× | log-prod_binary64 |
| 482× | prod-diff_binary64 |
| 282× | fma-def_binary64 |
| 269× | log-div_binary64 |
| 260× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 35 |
| 1 | 284 | 35 |
| 2 | 4236 | 35 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) |
(/.f64 (-.f64 -2 beta) alpha) |
(/.f64 (+.f64 (*.f64 beta -2) -2) alpha) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (/.f64 (fma.f64 beta -2 -2) alpha)) (*.f64 (/.f64 (neg.f64 (-.f64 -2 beta)) alpha) (/.f64 (fma.f64 beta -2 -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) -1) (*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (/.f64 (neg.f64 (-.f64 -2 beta)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) (/.f64 (fma.f64 beta -2 -2) alpha))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) (/.f64 (fma.f64 beta -2 -2) alpha))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) (/.f64 (fma.f64 beta -2 -2) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 (/.f64 (-.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 beta -2 -2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 beta -2 -2) alpha))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 beta -2 -2) alpha))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 beta -2 -2) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 beta -2 -2) alpha)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 beta -2 -2) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 beta -2 -2) alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 beta -2 -2) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 beta -2 -2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 beta -2 -2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 beta -2 -2)) 2) (*.f64 (cbrt.f64 (fma.f64 beta -2 -2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 beta -2 -2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta -2 -2) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta -2 -2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 beta -2 -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 beta -2 -2)) (*.f64 (sqrt.f64 (fma.f64 beta -2 -2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 beta -2 -2) alpha)) (sqrt.f64 (/.f64 (fma.f64 beta -2 -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) 2) (/.f64 1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (fma.f64 beta -2 -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 -2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 beta -2 -2) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 beta -2 -2) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta -2 -2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 beta -2 -2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 beta -2 -2)) 1) (/.f64 (sqrt.f64 (fma.f64 beta -2 -2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) 1) (/.f64 -2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta -2 -2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 beta -2 -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 beta -2 -2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 beta -2 -2)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 -2 (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta -2 -2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 beta -2 -2)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (sqrt.f64 alpha)) (/.f64 -2 (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 beta -2 -2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 beta -2 -2) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta -2 -2) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 beta -2 -2) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (fma.f64 beta -2 -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 beta -2 -2) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 beta -2 -2) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 beta -2 -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 beta -2 -2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 beta -2 -2) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 beta -2 -2) 3) (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 beta -2 -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 beta -2 -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 beta -2 -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 beta -2 -2) alpha)) 1)))))) |
| 1× | egg-herbie |
| 507× | associate-*r*_binary64 |
| 385× | times-frac_binary64 |
| 364× | associate-/l*_binary64 |
| 342× | associate-*l/_binary64 |
| 333× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 1218 |
| 1 | 185 | 1168 |
| 2 | 573 | 1037 |
| 3 | 1876 | 880 |
| 4 | 7422 | 880 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 (/.f64 (-.f64 1 (*.f64 2 (/.f64 1 alpha))) alpha)) |
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -2 (/.f64 (-.f64 1 (*.f64 2 (/.f64 1 alpha))) alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 2 (/.f64 (-.f64 1 (*.f64 2 (/.f64 1 alpha))) alpha))) |
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -2 (/.f64 (-.f64 1 (*.f64 2 (/.f64 1 alpha))) alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 (-.f64 1 (*.f64 2 (/.f64 1 alpha))) alpha)))) |
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -2 (/.f64 (-.f64 1 (*.f64 2 (/.f64 1 alpha))) alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 (-.f64 1 (*.f64 2 (/.f64 1 alpha))) alpha)))) |
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 (-.f64 1 (*.f64 2 (/.f64 1 alpha))) alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) |
(+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 (-.f64 1 (*.f64 2 (/.f64 1 alpha))) alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 (-.f64 1 (*.f64 2 (/.f64 1 alpha))) alpha)))) |
(+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 (-.f64 1 (*.f64 2 (/.f64 1 alpha))) alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 (-.f64 1 (*.f64 2 (/.f64 1 alpha))) alpha)))) |
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 2 (/.f64 1 alpha)) 1) alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) |
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 2 (/.f64 1 alpha)) 1) alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 2 (/.f64 1 alpha)) 1) alpha)) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 2 (/.f64 1 alpha)) 1) alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 2 (/.f64 1 alpha)) 1) alpha)) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2)) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha)) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) 2) (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))) |
(/.f64 -2 alpha) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 -1 (/.f64 beta alpha)) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 -1 (/.f64 beta alpha)) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(/.f64 -2 alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 -2 (/.f64 beta alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 -2 (/.f64 beta alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
| Outputs |
|---|
(*.f64 2 (/.f64 (-.f64 1 (*.f64 2 (/.f64 1 alpha))) alpha)) |
(*.f64 2 (/.f64 (-.f64 1 (/.f64 2 alpha)) alpha)) |
(*.f64 2 (/.f64 (+.f64 1 (/.f64 -2 alpha)) alpha)) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -2 (/.f64 (-.f64 1 (*.f64 2 (/.f64 1 alpha))) alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 2 (/.f64 (-.f64 1 (*.f64 2 (/.f64 1 alpha))) alpha))) |
(fma.f64 -1 (*.f64 beta (fma.f64 -2 (/.f64 (-.f64 1 (/.f64 2 alpha)) alpha) (/.f64 2 (*.f64 alpha alpha)))) (*.f64 2 (/.f64 (-.f64 1 (/.f64 2 alpha)) alpha))) |
(-.f64 (*.f64 2 (/.f64 (+.f64 1 (/.f64 -2 alpha)) alpha)) (*.f64 beta (fma.f64 (/.f64 (+.f64 1 (/.f64 -2 alpha)) alpha) -2 (/.f64 2 (*.f64 alpha alpha))))) |
(fma.f64 2 (*.f64 beta (-.f64 (/.f64 1 alpha) (*.f64 3 (/.f64 1 (*.f64 alpha alpha))))) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(+.f64 (*.f64 beta (/.f64 (/.f64 -2 alpha) alpha)) (*.f64 (+.f64 1 beta) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha))) |
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -2 (/.f64 (-.f64 1 (*.f64 2 (/.f64 1 alpha))) alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 (-.f64 1 (*.f64 2 (/.f64 1 alpha))) alpha)))) |
(fma.f64 -1 (*.f64 beta (fma.f64 -2 (/.f64 (-.f64 1 (/.f64 2 alpha)) alpha) (/.f64 2 (*.f64 alpha alpha)))) (fma.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 2 (/.f64 (-.f64 1 (/.f64 2 alpha)) alpha)))) |
(-.f64 (fma.f64 2 (/.f64 (+.f64 1 (/.f64 -2 alpha)) alpha) (*.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))) (*.f64 beta (fma.f64 (/.f64 (+.f64 1 (/.f64 -2 alpha)) alpha) -2 (/.f64 2 (*.f64 alpha alpha))))) |
(fma.f64 beta (+.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) (/.f64 (/.f64 -2 alpha) alpha)) (fma.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha))) |
(+.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) (*.f64 (/.f64 beta alpha) (/.f64 (fma.f64 beta -2 -2) alpha))) |
(+.f64 (*.f64 beta (/.f64 (fma.f64 beta -2 -2) (*.f64 alpha alpha))) (*.f64 (+.f64 1 beta) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha))) |
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -2 (/.f64 (-.f64 1 (*.f64 2 (/.f64 1 alpha))) alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 (-.f64 1 (*.f64 2 (/.f64 1 alpha))) alpha)))) |
(fma.f64 -1 (*.f64 beta (fma.f64 -2 (/.f64 (-.f64 1 (/.f64 2 alpha)) alpha) (/.f64 2 (*.f64 alpha alpha)))) (fma.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 2 (/.f64 (-.f64 1 (/.f64 2 alpha)) alpha)))) |
(-.f64 (fma.f64 2 (/.f64 (+.f64 1 (/.f64 -2 alpha)) alpha) (*.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))) (*.f64 beta (fma.f64 (/.f64 (+.f64 1 (/.f64 -2 alpha)) alpha) -2 (/.f64 2 (*.f64 alpha alpha))))) |
(fma.f64 beta (+.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) (/.f64 (/.f64 -2 alpha) alpha)) (fma.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha))) |
(+.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) (*.f64 (/.f64 beta alpha) (/.f64 (fma.f64 beta -2 -2) alpha))) |
(+.f64 (*.f64 beta (/.f64 (fma.f64 beta -2 -2) (*.f64 alpha alpha))) (*.f64 (+.f64 1 beta) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha))) |
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) |
(*.f64 -2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) |
(*.f64 (/.f64 -2 alpha) (/.f64 (*.f64 beta beta) alpha)) |
(*.f64 (*.f64 beta beta) (/.f64 (/.f64 -2 alpha) alpha)) |
(+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 (-.f64 1 (*.f64 2 (/.f64 1 alpha))) alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) |
(fma.f64 beta (-.f64 (*.f64 2 (/.f64 (-.f64 1 (/.f64 2 alpha)) alpha)) (/.f64 2 (*.f64 alpha alpha))) (*.f64 -2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) |
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(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(-.f64 (/.f64 -2 alpha) (/.f64 beta alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(-.f64 (/.f64 -2 alpha) (/.f64 beta alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(-.f64 (/.f64 -2 alpha) (/.f64 beta alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(-.f64 (/.f64 -2 alpha) (/.f64 beta alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(-.f64 (/.f64 -2 alpha) (/.f64 beta alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(fma.f64 -1 (/.f64 beta alpha) (/.f64 -2 alpha)) |
(-.f64 (/.f64 -2 alpha) (/.f64 beta alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(/.f64 -2 alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(*.f64 -2 (/.f64 beta alpha)) |
(*.f64 beta (/.f64 -2 alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(*.f64 -2 (/.f64 beta alpha)) |
(*.f64 beta (/.f64 -2 alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
(/.f64 (-.f64 (*.f64 -2 beta) 2) alpha) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(/.f64 (fma.f64 beta -2 -2) alpha) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 4 (/.f64 -8 alpha)) |
| ✓ | 0.1b | (fma.f64 (/.f64 (/.f64 -1 alpha) alpha) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha)) |
| ✓ | 0.1b | (/.f64 (/.f64 -1 alpha) alpha) |
Compiled 56 to 41 computations (26.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | 0 | (/.f64 (/.f64 -1 alpha) alpha) |
| 0.0ms | alpha | @ | 0 | (fma.f64 (/.f64 (/.f64 -1 alpha) alpha) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha)) |
| 0.0ms | alpha | @ | inf | (/.f64 (/.f64 -1 alpha) alpha) |
| 0.0ms | alpha | @ | inf | (fma.f64 (/.f64 (/.f64 -1 alpha) alpha) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha)) |
| 0.0ms | alpha | @ | -inf | (fma.f64 (/.f64 (/.f64 -1 alpha) alpha) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha)) |
| 1× | batch-egg-rewrite |
| 541× | log-prod_binary64 |
| 326× | pow-prod-down_binary64 |
| 315× | pow2_binary64 |
| 236× | prod-diff_binary64 |
| 232× | log-div_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 34 |
| 1 | 266 | 34 |
| 2 | 3359 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 -1 alpha) alpha) |
(fma.f64 (/.f64 (/.f64 -1 alpha) alpha) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha)) |
(+.f64 4 (/.f64 -8 alpha)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 (pow.f64 alpha -2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (neg.f64 (pow.f64 alpha -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (neg.f64 (pow.f64 alpha -2))))) (log.f64 (sqrt.f64 (exp.f64 (neg.f64 (pow.f64 alpha -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 alpha -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 alpha) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 alpha -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (pow.f64 alpha -2))) (cbrt.f64 (pow.f64 alpha -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (pow.f64 alpha -2))) (/.f64 (/.f64 1 alpha) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 alpha -4)) (cbrt.f64 (neg.f64 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 alpha -2)) (*.f64 (/.f64 -1 (cbrt.f64 alpha)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1) alpha) (/.f64 (sqrt.f64 -1) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (neg.f64 alpha) -1/2) (*.f64 (pow.f64 (neg.f64 alpha) -1/2) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (/.f64 -1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 alpha -2)) 1) (/.f64 (/.f64 -1 (cbrt.f64 alpha)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (neg.f64 alpha) -1/2) 1) (/.f64 (pow.f64 (neg.f64 alpha) -1/2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 alpha) -2) (/.f64 (/.f64 -1 alpha) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 alpha -2)) (cbrt.f64 (*.f64 alpha alpha))) (cbrt.f64 (neg.f64 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (neg.f64 alpha) -1/2) (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (pow.f64 (neg.f64 alpha) -1/2) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 alpha)) (pow.f64 alpha -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 alpha -1/2) (/.f64 (/.f64 -1 alpha) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 alpha -2)) (sqrt.f64 alpha)) (/.f64 (/.f64 -1 (cbrt.f64 alpha)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (pow.f64 alpha -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 alpha -4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 alpha (neg.f64 alpha)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (pow.f64 alpha -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1) alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 alpha (neg.f64 alpha)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (neg.f64 alpha) -3) (pow.f64 alpha 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (*.f64 alpha alpha)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 alpha alpha) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 alpha (neg.f64 alpha)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 alpha -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (neg.f64 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 alpha (neg.f64 alpha)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (neg.f64 alpha) -3) (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (neg.f64 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 alpha -2))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 alpha) (*.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha))) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha))) 1) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha))) (cbrt.f64 (pow.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha)) 2)) (cbrt.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha))) (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha))) 3) (pow.f64 (/.f64 2 alpha) 3)) (+.f64 (pow.f64 (*.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha))) 2) (-.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (*.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha))) (/.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha))) 2) (/.f64 4 (*.f64 alpha alpha))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha)) (neg.f64 (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 2 alpha)) (exp.f64 (*.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 alpha))) (exp.f64 (*.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha)))) (+.f64 1 (expm1.f64 (/.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (neg.f64 (pow.f64 alpha -2)) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 4 (/.f64 -8 alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 16 (-.f64 4 (/.f64 -8 alpha))) (/.f64 (/.f64 64 (*.f64 alpha alpha)) (-.f64 4 (/.f64 -8 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 (/.f64 -8 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 4 (/.f64 -8 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 4 (/.f64 -8 alpha))) (cbrt.f64 (pow.f64 (+.f64 4 (/.f64 -8 alpha)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 4 (/.f64 -8 alpha)) 2)) (cbrt.f64 (+.f64 4 (/.f64 -8 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 4 (/.f64 -8 alpha))) (sqrt.f64 (+.f64 4 (/.f64 -8 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -512 (pow.f64 alpha -3) 64) (/.f64 1 (fma.f64 (/.f64 -8 alpha) (-.f64 (/.f64 -8 alpha) 4) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 16 (/.f64 64 (*.f64 alpha alpha))) (/.f64 1 (-.f64 4 (/.f64 -8 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 -8 alpha) (-.f64 (/.f64 -8 alpha) 4) 16) (fma.f64 -512 (pow.f64 alpha -3) 64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 4 (/.f64 -8 alpha)) (-.f64 16 (/.f64 64 (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -512 (pow.f64 alpha -3) 64) (fma.f64 (/.f64 -8 alpha) (-.f64 (/.f64 -8 alpha) 4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -512 (pow.f64 alpha -3) 64) (fma.f64 64 (pow.f64 alpha -2) (-.f64 16 (/.f64 -32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16 (/.f64 64 (*.f64 alpha alpha))) (-.f64 4 (/.f64 -8 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -512 (pow.f64 alpha -3) 64)) (neg.f64 (fma.f64 (/.f64 -8 alpha) (-.f64 (/.f64 -8 alpha) 4) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 16 (/.f64 64 (*.f64 alpha alpha)))) (neg.f64 (-.f64 4 (/.f64 -8 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 64 (pow.f64 alpha -2) -16) (-.f64 (/.f64 -8 alpha) 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 4 (/.f64 -8 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 4 (/.f64 -8 alpha)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 4 (/.f64 -8 alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 4 (/.f64 -8 alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 4 (/.f64 -8 alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 -8 alpha) (-.f64 (/.f64 -8 alpha) 4) 16) (fma.f64 -512 (pow.f64 alpha -3) 64)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 4 (/.f64 -8 alpha)) (-.f64 16 (/.f64 64 (*.f64 alpha alpha)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 4 (/.f64 -8 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 4 (/.f64 -8 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 4 (/.f64 -8 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 4 (/.f64 -8 alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 4 (/.f64 -8 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 4 (/.f64 -8 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 4 (/.f64 -8 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 4 (/.f64 -8 alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -8 (/.f64 1 alpha) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -8 alpha) 1 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -8 alpha) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 8 (/.f64 -1 alpha) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 (cbrt.f64 alpha)) (pow.f64 (/.f64 -2 (cbrt.f64 alpha)) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 -2 (cbrt.f64 alpha)) 2) (/.f64 -2 (cbrt.f64 alpha)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -8 alpha)) (sqrt.f64 (/.f64 -8 alpha)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 alpha) -8 4))))) |
| 1× | egg-herbie |
| 895× | distribute-neg-frac_binary64 |
| 536× | unswap-sqr_binary64 |
| 391× | fma-def_binary64 |
| 365× | associate-/r*_binary64 |
| 313× | *-commutative_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 342 |
| 1 | 74 | 342 |
| 2 | 138 | 342 |
| 3 | 276 | 342 |
| 4 | 754 | 330 |
| 5 | 3266 | 321 |
| 6 | 6650 | 321 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (pow.f64 alpha 2)) |
(/.f64 -1 (pow.f64 alpha 2)) |
(/.f64 -1 (pow.f64 alpha 2)) |
(/.f64 -1 (pow.f64 alpha 2)) |
(/.f64 -1 (pow.f64 alpha 2)) |
(/.f64 -1 (pow.f64 alpha 2)) |
(/.f64 -1 (pow.f64 alpha 2)) |
(/.f64 -1 (pow.f64 alpha 2)) |
(/.f64 -1 (pow.f64 alpha 2)) |
(/.f64 -1 (pow.f64 alpha 2)) |
(/.f64 -1 (pow.f64 alpha 2)) |
(/.f64 -1 (pow.f64 alpha 2)) |
(/.f64 8 (pow.f64 alpha 3)) |
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 -8 alpha) |
(-.f64 4 (*.f64 8 (/.f64 1 alpha))) |
(-.f64 4 (*.f64 8 (/.f64 1 alpha))) |
(-.f64 4 (*.f64 8 (/.f64 1 alpha))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 alpha))) |
(-.f64 4 (*.f64 8 (/.f64 1 alpha))) |
(-.f64 4 (*.f64 8 (/.f64 1 alpha))) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 alpha))) |
(-.f64 4 (*.f64 8 (/.f64 1 alpha))) |
(-.f64 4 (*.f64 8 (/.f64 1 alpha))) |
| Outputs |
|---|
(/.f64 -1 (pow.f64 alpha 2)) |
(/.f64 -1 (*.f64 alpha alpha)) |
(/.f64 (/.f64 -1 alpha) alpha) |
(/.f64 -1 (pow.f64 alpha 2)) |
(/.f64 -1 (*.f64 alpha alpha)) |
(/.f64 (/.f64 -1 alpha) alpha) |
(/.f64 -1 (pow.f64 alpha 2)) |
(/.f64 -1 (*.f64 alpha alpha)) |
(/.f64 (/.f64 -1 alpha) alpha) |
(/.f64 -1 (pow.f64 alpha 2)) |
(/.f64 -1 (*.f64 alpha alpha)) |
(/.f64 (/.f64 -1 alpha) alpha) |
(/.f64 -1 (pow.f64 alpha 2)) |
(/.f64 -1 (*.f64 alpha alpha)) |
(/.f64 (/.f64 -1 alpha) alpha) |
(/.f64 -1 (pow.f64 alpha 2)) |
(/.f64 -1 (*.f64 alpha alpha)) |
(/.f64 (/.f64 -1 alpha) alpha) |
(/.f64 -1 (pow.f64 alpha 2)) |
(/.f64 -1 (*.f64 alpha alpha)) |
(/.f64 (/.f64 -1 alpha) alpha) |
(/.f64 -1 (pow.f64 alpha 2)) |
(/.f64 -1 (*.f64 alpha alpha)) |
(/.f64 (/.f64 -1 alpha) alpha) |
(/.f64 -1 (pow.f64 alpha 2)) |
(/.f64 -1 (*.f64 alpha alpha)) |
(/.f64 (/.f64 -1 alpha) alpha) |
(/.f64 -1 (pow.f64 alpha 2)) |
(/.f64 -1 (*.f64 alpha alpha)) |
(/.f64 (/.f64 -1 alpha) alpha) |
(/.f64 -1 (pow.f64 alpha 2)) |
(/.f64 -1 (*.f64 alpha alpha)) |
(/.f64 (/.f64 -1 alpha) alpha) |
(/.f64 -1 (pow.f64 alpha 2)) |
(/.f64 -1 (*.f64 alpha alpha)) |
(/.f64 (/.f64 -1 alpha) alpha) |
(/.f64 8 (pow.f64 alpha 3)) |
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 (/.f64 8 alpha) -4) (*.f64 alpha alpha)) |
(/.f64 (-.f64 -4 (/.f64 -8 alpha)) (*.f64 alpha alpha)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))) |
(fma.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 8 alpha) -4) (/.f64 2 alpha)) |
(+.f64 (/.f64 (+.f64 (/.f64 8 alpha) -4) (*.f64 alpha alpha)) (/.f64 2 alpha)) |
(+.f64 (/.f64 (-.f64 -4 (/.f64 -8 alpha)) (*.f64 alpha alpha)) (/.f64 2 alpha)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))) |
(fma.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 8 alpha) -4) (/.f64 2 alpha)) |
(+.f64 (/.f64 (+.f64 (/.f64 8 alpha) -4) (*.f64 alpha alpha)) (/.f64 2 alpha)) |
(+.f64 (/.f64 (-.f64 -4 (/.f64 -8 alpha)) (*.f64 alpha alpha)) (/.f64 2 alpha)) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(*.f64 (/.f64 -1 alpha) (+.f64 (/.f64 4 alpha) -2)) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))) |
(fma.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 8 alpha) -4) (/.f64 2 alpha)) |
(+.f64 (/.f64 (+.f64 (/.f64 8 alpha) -4) (*.f64 alpha alpha)) (/.f64 2 alpha)) |
(+.f64 (/.f64 (-.f64 -4 (/.f64 -8 alpha)) (*.f64 alpha alpha)) (/.f64 2 alpha)) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))) |
(fma.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 8 alpha) -4) (/.f64 2 alpha)) |
(+.f64 (/.f64 (+.f64 (/.f64 8 alpha) -4) (*.f64 alpha alpha)) (/.f64 2 alpha)) |
(+.f64 (/.f64 (-.f64 -4 (/.f64 -8 alpha)) (*.f64 alpha alpha)) (/.f64 2 alpha)) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(*.f64 (/.f64 -1 alpha) (+.f64 (/.f64 4 alpha) -2)) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))) |
(fma.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 8 alpha) -4) (/.f64 2 alpha)) |
(+.f64 (/.f64 (+.f64 (/.f64 8 alpha) -4) (*.f64 alpha alpha)) (/.f64 2 alpha)) |
(+.f64 (/.f64 (-.f64 -4 (/.f64 -8 alpha)) (*.f64 alpha alpha)) (/.f64 2 alpha)) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))) |
(fma.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 8 alpha) -4) (/.f64 2 alpha)) |
(+.f64 (/.f64 (+.f64 (/.f64 8 alpha) -4) (*.f64 alpha alpha)) (/.f64 2 alpha)) |
(+.f64 (/.f64 (-.f64 -4 (/.f64 -8 alpha)) (*.f64 alpha alpha)) (/.f64 2 alpha)) |
(/.f64 -8 alpha) |
(-.f64 4 (*.f64 8 (/.f64 1 alpha))) |
(-.f64 4 (/.f64 8 alpha)) |
(+.f64 4 (/.f64 -8 alpha)) |
(-.f64 4 (*.f64 8 (/.f64 1 alpha))) |
(-.f64 4 (/.f64 8 alpha)) |
(+.f64 4 (/.f64 -8 alpha)) |
(-.f64 4 (*.f64 8 (/.f64 1 alpha))) |
(-.f64 4 (/.f64 8 alpha)) |
(+.f64 4 (/.f64 -8 alpha)) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 alpha))) |
(-.f64 4 (/.f64 8 alpha)) |
(+.f64 4 (/.f64 -8 alpha)) |
(-.f64 4 (*.f64 8 (/.f64 1 alpha))) |
(-.f64 4 (/.f64 8 alpha)) |
(+.f64 4 (/.f64 -8 alpha)) |
(-.f64 4 (*.f64 8 (/.f64 1 alpha))) |
(-.f64 4 (/.f64 8 alpha)) |
(+.f64 4 (/.f64 -8 alpha)) |
4 |
(-.f64 4 (*.f64 8 (/.f64 1 alpha))) |
(-.f64 4 (/.f64 8 alpha)) |
(+.f64 4 (/.f64 -8 alpha)) |
(-.f64 4 (*.f64 8 (/.f64 1 alpha))) |
(-.f64 4 (/.f64 8 alpha)) |
(+.f64 4 (/.f64 -8 alpha)) |
(-.f64 4 (*.f64 8 (/.f64 1 alpha))) |
(-.f64 4 (/.f64 8 alpha)) |
(+.f64 4 (/.f64 -8 alpha)) |
Compiled 9729 to 7014 computations (27.9% saved)
17 alts after pruning (5 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 416 | 5 | 421 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 12 | 13 |
| Total | 418 | 17 | 435 |
| Status | Error | Program |
|---|---|---|
| 58.8b | (/.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 3) 1/3) 2) | |
| 49.6b | (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha)))) 3) 2) | |
| ✓ | 48.2b | (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
| ✓ | 50.5b | (/.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2) |
| ✓ | 49.3b | (/.f64 (/.f64 2 alpha) 2) |
| ✓ | 50.5b | (/.f64 (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) 2) |
| 61.6b | (/.f64 (-.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) 1) 2) | |
| ✓ | 27.9b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| ✓ | 28.9b | (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
| ✓ | 13.4b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 50.2b | (/.f64 (+.f64 (/.f64 (-.f64 -4 (/.f64 -8 alpha)) (*.f64 alpha alpha)) (/.f64 2 alpha)) 2) | |
| ✓ | 14.3b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| ✓ | 30.1b | (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
| 61.0b | (/.f64 (*.f64 (*.f64 beta (/.f64 -2 alpha)) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) | |
| ✓ | 60.4b | (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
| ✓ | 41.0b | (/.f64 2 2) |
| ✓ | 28.1b | (/.f64 1 2) |
Compiled 206 to 167 computations (18.9% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2) |
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
(/.f64 (-.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) 1) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (*.f64 (*.f64 beta (/.f64 -2 alpha)) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 -4 (/.f64 -8 alpha)) (*.f64 alpha alpha)) (/.f64 2 alpha)) 2) |
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) |
(/.f64 (fma.f64 (/.f64 (/.f64 -1 alpha) alpha) (+.f64 4 (/.f64 -8 alpha)) (/.f64 2 alpha)) 2) |
(/.f64 (+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) 2) |
(/.f64 (+.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) (*.f64 alpha alpha)) (-.f64 (+.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)))) 2) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha)))) 3) 2) |
(/.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 3) 1/3) 2) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
8 calls:
| 77.0ms | alpha |
| 43.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 28.0ms | beta |
| 20.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 16.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| Error | Segments | Branch |
|---|---|---|
| 2.8b | 2 | alpha |
| 13.4b | 1 | beta |
| 0.0b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.0b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.0b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.0b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.0b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 0.0b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
Compiled 344 to 254 computations (26.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999998878047089 | -0.037005437540477075 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2) |
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
(/.f64 (-.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) 1) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (*.f64 (*.f64 beta (/.f64 -2 alpha)) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 -4 (/.f64 -8 alpha)) (*.f64 alpha alpha)) (/.f64 2 alpha)) 2) |
| Outputs |
|---|
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
8 calls:
| 37.0ms | alpha |
| 17.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 16.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 11.0ms | beta |
| 11.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| Error | Segments | Branch |
|---|---|---|
| 2.8b | 2 | alpha |
| 13.4b | 1 | beta |
| 0.2b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.2b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.2b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.2b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.2b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 0.2b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
Compiled 224 to 166 computations (25.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.0 | -0.9999999835164162 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2) |
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
(/.f64 (-.f64 (+.f64 1 (*.f64 2 (/.f64 beta alpha))) 1) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 4 alpha) alpha)) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
2 calls:
| 28.0ms | alpha |
| 11.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 3.4b | 2 | alpha |
| 14.3b | 1 | beta |
Compiled 103 to 81 computations (21.4% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 284620214.02973795 | 487944411750203200.0 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
2 calls:
| 25.0ms | alpha |
| 10.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 4.7b | 2 | alpha |
| 14.3b | 1 | beta |
Compiled 72 to 59 computations (18.1% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 284620214.02973795 | 487944411750203200.0 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 2 2) |
2 calls:
| 16.0ms | alpha |
| 16.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 16.0b | 2 | alpha |
| 14.9b | 2 | beta |
Compiled 45 to 38 computations (15.6% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 1.077080418424359e-6 | 18175.989060431057 |
Compiled 20 to 15 computations (25% saved)
Total -47.4b remaining (-311.9%)
Threshold costs -47.4b (-311.9%)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
| Outputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
2 calls:
| 14.0ms | beta |
| 14.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 16.3b | 2 | alpha |
| 15.2b | 2 | beta |
Compiled 31 to 26 computations (16.1% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 30.0ms | 18175.989060431057 | 3484885.589369411 |
Compiled 20 to 15 computations (25% saved)
| 1× | egg-herbie |
| 24× | cancel-sign-sub-inv_binary64 |
| 22× | +-commutative_binary64 |
| 21× | distribute-rgt-neg-in_binary64 |
| 18× | neg-sub0_binary64 |
| 18× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 196 |
| 1 | 72 | 196 |
| 2 | 83 | 196 |
| 3 | 95 | 196 |
| 4 | 110 | 196 |
| 5 | 140 | 196 |
| 6 | 177 | 196 |
| 7 | 212 | 196 |
| 8 | 255 | 196 |
| 9 | 276 | 196 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)) |
(if (<=.f64 alpha 596891851092893/2097152) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)) |
(if (<=.f64 alpha 596891851092893/2097152) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2)) |
(if (<=.f64 beta 2543184233661203/2361183241434822606848) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2)) |
(if (<=.f64 beta 2498088914784165/137438953472) (/.f64 1 2) (/.f64 2 2)) |
(/.f64 1 2) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (/.f64 (*.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (/.f64 (*.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) alpha) (-.f64 -1 (/.f64 (-.f64 -2 beta) alpha))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)) |
(if (<=.f64 alpha 596891851092893/2097152) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)) |
(if (<=.f64 alpha 596891851092893/2097152) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2)) |
(if (<=.f64 alpha 596891851092893/2097152) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2)) |
(if (<=.f64 alpha 596891851092893/2097152) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2)) |
(if (<=.f64 beta 2543184233661203/2361183241434822606848) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2)) |
(if (<=.f64 beta 2543184233661203/2361183241434822606848) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) 1) |
(if (<=.f64 beta 2498088914784165/137438953472) (/.f64 1 2) (/.f64 2 2)) |
(if (<=.f64 beta 2498088914784165/137438953472) 1/2 1) |
(/.f64 1 2) |
1/2 |
Compiled 149 to 109 computations (26.8% saved)
| 1× | egg-herbie |
| 734× | times-frac_binary64 |
| 534× | associate-/l*_binary64 |
| 444× | associate-/r*_binary64 |
| 384× | cancel-sign-sub-inv_binary64 |
| 330× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 218 | 2065 |
| 1 | 756 | 1949 |
| 2 | 2813 | 1769 |
| 1× | node limit |
Compiled 943 to 719 computations (23.8% saved)
Compiled 137 to 94 computations (31.4% saved)
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