Time bar (total: 3.1s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 50% | 50% | 0 |
| 0% | 50% | 50% | 1 |
| 0% | 50% | 50% | 2 |
| 0% | 50% | 50% | 3 |
| 31.2% | 18.7% | 50% | 4 |
| 40.6% | 9.4% | 50% | 5 |
| 45.3% | 4.7% | 50% | 6 |
| 47.6% | 2.3% | 50% | 7 |
| 48.8% | 1.2% | 50% | 8 |
| 49.4% | 0.6% | 50% | 9 |
| 49.7% | 0.3% | 50% | 10 |
| 49.8% | 0.1% | 50% | 11 |
| 49.9% | 0.1% | 50% | 12 |
Compiled 29 to 19 computations (34.5% saved)
| 1.4s | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 579× | associate-/r*_binary64 |
| 516× | cancel-sign-sub-inv_binary64 |
| 496× | distribute-rgt-in_binary64 |
| 478× | distribute-lft-in_binary64 |
| 434× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 31 |
| 1 | 40 | 26 |
| 2 | 200 | 17 |
| 3 | 1341 | 13 |
| 4 | 3774 | 13 |
| 5 | 6220 | 13 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1)) |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1)) |
(/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 (+.f64 (*.f64 4 (*.f64 i i)) -1) (*.f64 4 (*.f64 i i)))) |
(*.f64 (/.f64 i (fma.f64 4 (*.f64 i i) -1)) (/.f64 (pow.f64 i 3) (*.f64 i (*.f64 i 4)))) |
(*.f64 (/.f64 i (fma.f64 (*.f64 i i) 4 -1)) (/.f64 i 4)) |
(/.f64 1/4 (-.f64 4 (/.f64 i (pow.f64 i 3)))) |
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) |
Compiled 27 to 18 computations (33.3% saved)
| 1× | egg-herbie |
| 579× | associate-/r*_binary64 |
| 516× | cancel-sign-sub-inv_binary64 |
| 496× | distribute-rgt-in_binary64 |
| 478× | distribute-lft-in_binary64 |
| 434× | associate-/r/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 31 |
| 1 | 40 | 26 |
| 2 | 200 | 17 |
| 3 | 1341 | 13 |
| 4 | 3774 | 13 |
| 5 | 6220 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1)) |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1)) |
(/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 (+.f64 (*.f64 4 (*.f64 i i)) -1) (*.f64 4 (*.f64 i i)))) |
(*.f64 (/.f64 i (fma.f64 4 (*.f64 i i) -1)) (/.f64 (pow.f64 i 3) (*.f64 i (*.f64 i 4)))) |
(*.f64 (/.f64 i (fma.f64 (*.f64 i i) 4 -1)) (/.f64 i 4)) |
(/.f64 1/4 (-.f64 4 (/.f64 i (pow.f64 i 3)))) |
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) |
Compiled 35 to 23 computations (34.3% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 44.6b | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1)) |
| ▶ | 0.3b | (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) |
Compiled 36 to 25 computations (30.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 4 (/.f64 -1 (*.f64 i i))) |
| ✓ | 0.3b | (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) |
| ✓ | 0.5b | (/.f64 -1 (*.f64 i i)) |
Compiled 29 to 17 computations (41.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | i | @ | inf | (/.f64 -1 (*.f64 i i)) |
| 1.0ms | i | @ | 0 | (/.f64 -1 (*.f64 i i)) |
| 1.0ms | i | @ | 0 | (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) |
| 0.0ms | i | @ | inf | (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) |
| 0.0ms | i | @ | 0 | (+.f64 4 (/.f64 -1 (*.f64 i i))) |
| 1× | batch-egg-rewrite |
| 521× | unpow-prod-down_binary64 |
| 386× | log-prod_binary64 |
| 305× | exp-prod_binary64 |
| 256× | prod-exp_binary64 |
| 243× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 30 |
| 1 | 203 | 25 |
| 2 | 2514 | 25 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (*.f64 i i)) |
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) |
(+.f64 4 (/.f64 -1 (*.f64 i i))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 (pow.f64 i -2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (neg.f64 (pow.f64 i -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (neg.f64 (pow.f64 i -2))))) (log.f64 (sqrt.f64 (exp.f64 (neg.f64 (pow.f64 i -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 i -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 i -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 i -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2))) (cbrt.f64 (pow.f64 i -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 i -4)) (cbrt.f64 (neg.f64 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1) i) (/.f64 (sqrt.f64 -1) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 i -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 i) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 i) (pow.f64 (/.f64 1 i) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (/.f64 -1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cbrt.f64 i) i)) (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 i) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (neg.f64 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -1 1/3) (pow.f64 i -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2)))) 2) 3) (cbrt.f64 (neg.f64 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 i -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 i (neg.f64 i))) 2) -1) (cbrt.f64 (neg.f64 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (neg.f64 (*.f64 (cbrt.f64 i) i)) -1) (pow.f64 (pow.f64 (cbrt.f64 i) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 i -4) -1) 1/3) (cbrt.f64 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 i -4) (cbrt.f64 (pow.f64 i -4))) 1/3) (cbrt.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (neg.f64 (pow.f64 i -2)) 5/2) 1/3) (cbrt.f64 (/.f64 (sqrt.f64 -1) i)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (pow.f64 i -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 i -4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1) i) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 i (neg.f64 i)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1 (pow.f64 i -6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (neg.f64 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (neg.f64 (pow.f64 i -2)))) 2)) (cbrt.f64 (log.f64 (neg.f64 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (neg.f64 (pow.f64 i -2))))) (sqrt.f64 (log.f64 (neg.f64 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 i -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 i -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (neg.f64 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1 (pow.f64 i -6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (neg.f64 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 i -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 -1) i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 i (neg.f64 i))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1 (pow.f64 i -6))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 i -2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 i -2))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 -1 i)) (*.f64 (log.f64 i) 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 1 (fma.f64 -1 (pow.f64 i -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))) (pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))) 2) (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 -1 (pow.f64 i -2) 4))) (/.f64 1/2 (sqrt.f64 (fma.f64 -1 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (/.f64 1 (neg.f64 (fma.f64 -1 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (pow.f64 (/.f64 1 (neg.f64 (fma.f64 -1 (pow.f64 i -2) 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 -1 (pow.f64 i -2) 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -6) 64)) (-.f64 (+.f64 16 (pow.f64 i -4)) (*.f64 -4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))) (+.f64 4 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -6) 64)) 1) (-.f64 (+.f64 16 (pow.f64 i -4)) (*.f64 -4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/4 (-.f64 16 (pow.f64 i -4))) 1) (+.f64 4 (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 1/16 (pow.f64 (fma.f64 -1 (pow.f64 i -2) 4) -2)) 1/4) 1/3) (cbrt.f64 (/.f64 1 (fma.f64 -1 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)) (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)) 5/2) 1/3) (cbrt.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 -1 (pow.f64 i -2) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 1/4) 3) (/.f64 1 (fma.f64 -1 (pow.f64 i -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) 2) 3) (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1 (pow.f64 i -2) 4) 4)) 2) -1) (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/16 (pow.f64 (fma.f64 -1 (pow.f64 i -2) 4) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 -1 (pow.f64 i -2) 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 -1 (pow.f64 i -2) 4) 4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (fma.f64 -1 (pow.f64 i -2) 4) 4) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) 2)) (cbrt.f64 (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))) (sqrt.f64 (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/16 (pow.f64 (fma.f64 -1 (pow.f64 i -2) 4) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 -1 (pow.f64 i -2) 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1 (pow.f64 i -2) 4) 4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/4 (fma.f64 -1 (pow.f64 i -2) 4))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1 (pow.f64 i -2) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 16 (+.f64 4 (pow.f64 i -2))) (/.f64 (pow.f64 i -4) (+.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1 (pow.f64 i -2) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1 (pow.f64 i -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1 (pow.f64 i -2) 4)) (pow.f64 (cbrt.f64 (fma.f64 -1 (pow.f64 i -2) 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1 (pow.f64 i -2) 4)) 2) (cbrt.f64 (fma.f64 -1 (pow.f64 i -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1 (pow.f64 i -2) 4)) (sqrt.f64 (fma.f64 -1 (pow.f64 i -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1 (pow.f64 i -6) 64) (/.f64 1 (-.f64 (+.f64 16 (pow.f64 i -4)) (*.f64 -4 (pow.f64 i -2)))))))) (#(struct:change #<rule 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(pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -1 (pow.f64 i -6) 64)) (neg.f64 (-.f64 (+.f64 16 (pow.f64 i -4)) (*.f64 -4 (pow.f64 i -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 16 (pow.f64 i -4))) (neg.f64 (+.f64 4 (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 i -4) 16) (fma.f64 -1 (pow.f64 i -2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1 (pow.f64 i -2) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1 (pow.f64 i -2) 4) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1 (pow.f64 i -2) 4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1 (pow.f64 i -2) 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1 (pow.f64 i -2) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 -1 (pow.f64 i -2) 4)))))) (#(struct:change 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egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1 (pow.f64 i -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1 (pow.f64 i -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1 (pow.f64 i -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1 (pow.f64 i -2) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 -1 (pow.f64 i -2) 4) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1 (pow.f64 i -2) 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1 (pow.f64 i -2) 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -1 (pow.f64 i -2) 4)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 i -2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 i -2)) 1 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (pow.f64 i -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (neg.f64 (pow.f64 i -2))) (cbrt.f64 (pow.f64 i -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 i -4)) (cbrt.f64 (neg.f64 (pow.f64 i -2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 -1) i) (/.f64 (sqrt.f64 -1) i) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 i -2) -1 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 i) (/.f64 1 i) 4))))) |
| 1× | egg-herbie |
| 691× | cancel-sign-sub-inv_binary64 |
| 657× | fma-neg_binary64 |
| 472× | distribute-lft-out_binary64 |
| 413× | unswap-sqr_binary64 |
| 412× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 369 |
| 1 | 94 | 366 |
| 2 | 221 | 366 |
| 3 | 662 | 366 |
| 4 | 3230 | 366 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (pow.f64 i 2)) |
(/.f64 -1 (pow.f64 i 2)) |
(/.f64 -1 (pow.f64 i 2)) |
(/.f64 -1 (pow.f64 i 2)) |
(/.f64 -1 (pow.f64 i 2)) |
(/.f64 -1 (pow.f64 i 2)) |
(/.f64 -1 (pow.f64 i 2)) |
(/.f64 -1 (pow.f64 i 2)) |
(/.f64 -1 (pow.f64 i 2)) |
(/.f64 -1 (pow.f64 i 2)) |
(/.f64 -1 (pow.f64 i 2)) |
(/.f64 -1 (pow.f64 i 2)) |
(*.f64 -1/4 (pow.f64 i 2)) |
(+.f64 (*.f64 -1 (pow.f64 i 4)) (*.f64 -1/4 (pow.f64 i 2))) |
(+.f64 (*.f64 -1 (pow.f64 i 4)) (+.f64 (*.f64 -1/4 (pow.f64 i 2)) (*.f64 -4 (pow.f64 i 6)))) |
(+.f64 (*.f64 -16 (pow.f64 i 8)) (+.f64 (*.f64 -1 (pow.f64 i 4)) (+.f64 (*.f64 -1/4 (pow.f64 i 2)) (*.f64 -4 (pow.f64 i 6))))) |
1/16 |
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2)))) |
(+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))) |
(+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (*.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2)))))) |
1/16 |
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2)))) |
(+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))) |
(+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (*.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2)))))) |
(/.f64 -1 (pow.f64 i 2)) |
(-.f64 4 (/.f64 1 (pow.f64 i 2))) |
(-.f64 4 (/.f64 1 (pow.f64 i 2))) |
(-.f64 4 (/.f64 1 (pow.f64 i 2))) |
4 |
(-.f64 4 (/.f64 1 (pow.f64 i 2))) |
(-.f64 4 (/.f64 1 (pow.f64 i 2))) |
(-.f64 4 (/.f64 1 (pow.f64 i 2))) |
4 |
(-.f64 4 (/.f64 1 (pow.f64 i 2))) |
(-.f64 4 (/.f64 1 (pow.f64 i 2))) |
(-.f64 4 (/.f64 1 (pow.f64 i 2))) |
| Outputs |
|---|
(/.f64 -1 (pow.f64 i 2)) |
(/.f64 -1 (*.f64 i i)) |
(/.f64 -1 (pow.f64 i 2)) |
(/.f64 -1 (*.f64 i i)) |
(/.f64 -1 (pow.f64 i 2)) |
(/.f64 -1 (*.f64 i i)) |
(/.f64 -1 (pow.f64 i 2)) |
(/.f64 -1 (*.f64 i i)) |
(/.f64 -1 (pow.f64 i 2)) |
(/.f64 -1 (*.f64 i i)) |
(/.f64 -1 (pow.f64 i 2)) |
(/.f64 -1 (*.f64 i i)) |
(/.f64 -1 (pow.f64 i 2)) |
(/.f64 -1 (*.f64 i i)) |
(/.f64 -1 (pow.f64 i 2)) |
(/.f64 -1 (*.f64 i i)) |
(/.f64 -1 (pow.f64 i 2)) |
(/.f64 -1 (*.f64 i i)) |
(/.f64 -1 (pow.f64 i 2)) |
(/.f64 -1 (*.f64 i i)) |
(/.f64 -1 (pow.f64 i 2)) |
(/.f64 -1 (*.f64 i i)) |
(/.f64 -1 (pow.f64 i 2)) |
(/.f64 -1 (*.f64 i i)) |
(*.f64 -1/4 (pow.f64 i 2)) |
(*.f64 (*.f64 i i) -1/4) |
(*.f64 i (*.f64 i -1/4)) |
(+.f64 (*.f64 -1 (pow.f64 i 4)) (*.f64 -1/4 (pow.f64 i 2))) |
(fma.f64 -1 (pow.f64 i 4) (*.f64 (*.f64 i i) -1/4)) |
(-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4)) |
(-.f64 (*.f64 i (*.f64 i -1/4)) (pow.f64 i 4)) |
(*.f64 i (fma.f64 i -1/4 (neg.f64 (pow.f64 i 3)))) |
(+.f64 (*.f64 -1 (pow.f64 i 4)) (+.f64 (*.f64 -1/4 (pow.f64 i 2)) (*.f64 -4 (pow.f64 i 6)))) |
(fma.f64 -1 (pow.f64 i 4) (fma.f64 -1/4 (*.f64 i i) (*.f64 -4 (pow.f64 i 6)))) |
(-.f64 (fma.f64 (*.f64 i i) -1/4 (*.f64 -4 (pow.f64 i 6))) (pow.f64 i 4)) |
(-.f64 (fma.f64 -4 (pow.f64 i 6) (*.f64 i (*.f64 i -1/4))) (pow.f64 i 4)) |
(fma.f64 i (*.f64 i -1/4) (fma.f64 -4 (pow.f64 i 6) (neg.f64 (pow.f64 i 4)))) |
(-.f64 (*.f64 -4 (pow.f64 i 6)) (*.f64 (*.f64 i i) (fma.f64 i i 1/4))) |
(+.f64 (*.f64 -16 (pow.f64 i 8)) (+.f64 (*.f64 -1 (pow.f64 i 4)) (+.f64 (*.f64 -1/4 (pow.f64 i 2)) (*.f64 -4 (pow.f64 i 6))))) |
(fma.f64 -16 (pow.f64 i 8) (fma.f64 -1 (pow.f64 i 4) (fma.f64 -1/4 (*.f64 i i) (*.f64 -4 (pow.f64 i 6))))) |
(fma.f64 -16 (pow.f64 i 8) (-.f64 (fma.f64 (*.f64 i i) -1/4 (*.f64 -4 (pow.f64 i 6))) (pow.f64 i 4))) |
(-.f64 (fma.f64 -16 (pow.f64 i 8) (fma.f64 -4 (pow.f64 i 6) (*.f64 i (*.f64 i -1/4)))) (pow.f64 i 4)) |
(-.f64 (fma.f64 i (*.f64 i -1/4) (fma.f64 -4 (pow.f64 i 6) (*.f64 -16 (pow.f64 i 8)))) (pow.f64 i 4)) |
(fma.f64 -4 (pow.f64 i 6) (fma.f64 -16 (pow.f64 i 8) (*.f64 i (fma.f64 i -1/4 (neg.f64 (pow.f64 i 3)))))) |
1/16 |
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2)))) |
(+.f64 1/16 (/.f64 1/64 (*.f64 i i))) |
(+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))) |
(+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/256 (pow.f64 i 4))) |
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/256 (pow.f64 i 4)))) |
(+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 1/16 (/.f64 1/256 (pow.f64 i 4)))) |
(+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (*.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2)))))) |
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/1024 (pow.f64 i 6))))) |
(+.f64 1/16 (+.f64 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/1024 (pow.f64 i 6))) (/.f64 1/256 (pow.f64 i 4)))) |
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 (/.f64 1/1024 (pow.f64 i 6)) (/.f64 1/256 (pow.f64 i 4))))) |
(+.f64 1/16 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/1024 (pow.f64 i 6))))) |
(+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 (/.f64 1/1024 (pow.f64 i 6)) (+.f64 1/16 (/.f64 1/256 (pow.f64 i 4))))) |
1/16 |
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2)))) |
(+.f64 1/16 (/.f64 1/64 (*.f64 i i))) |
(+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))) |
(+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/256 (pow.f64 i 4))) |
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/256 (pow.f64 i 4)))) |
(+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 1/16 (/.f64 1/256 (pow.f64 i 4)))) |
(+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (*.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2)))))) |
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/1024 (pow.f64 i 6))))) |
(+.f64 1/16 (+.f64 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/1024 (pow.f64 i 6))) (/.f64 1/256 (pow.f64 i 4)))) |
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 (/.f64 1/1024 (pow.f64 i 6)) (/.f64 1/256 (pow.f64 i 4))))) |
(+.f64 1/16 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/1024 (pow.f64 i 6))))) |
(+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 (/.f64 1/1024 (pow.f64 i 6)) (+.f64 1/16 (/.f64 1/256 (pow.f64 i 4))))) |
(/.f64 -1 (pow.f64 i 2)) |
(/.f64 -1 (*.f64 i i)) |
(-.f64 4 (/.f64 1 (pow.f64 i 2))) |
(-.f64 4 (/.f64 1 (*.f64 i i))) |
(+.f64 4 (/.f64 -1 (*.f64 i i))) |
(-.f64 4 (/.f64 1 (pow.f64 i 2))) |
(-.f64 4 (/.f64 1 (*.f64 i i))) |
(+.f64 4 (/.f64 -1 (*.f64 i i))) |
(-.f64 4 (/.f64 1 (pow.f64 i 2))) |
(-.f64 4 (/.f64 1 (*.f64 i i))) |
(+.f64 4 (/.f64 -1 (*.f64 i i))) |
4 |
(-.f64 4 (/.f64 1 (pow.f64 i 2))) |
(-.f64 4 (/.f64 1 (*.f64 i i))) |
(+.f64 4 (/.f64 -1 (*.f64 i i))) |
(-.f64 4 (/.f64 1 (pow.f64 i 2))) |
(-.f64 4 (/.f64 1 (*.f64 i i))) |
(+.f64 4 (/.f64 -1 (*.f64 i i))) |
(-.f64 4 (/.f64 1 (pow.f64 i 2))) |
(-.f64 4 (/.f64 1 (*.f64 i i))) |
(+.f64 4 (/.f64 -1 (*.f64 i i))) |
4 |
(-.f64 4 (/.f64 1 (pow.f64 i 2))) |
(-.f64 4 (/.f64 1 (*.f64 i i))) |
(+.f64 4 (/.f64 -1 (*.f64 i i))) |
(-.f64 4 (/.f64 1 (pow.f64 i 2))) |
(-.f64 4 (/.f64 1 (*.f64 i i))) |
(+.f64 4 (/.f64 -1 (*.f64 i i))) |
(-.f64 4 (/.f64 1 (pow.f64 i 2))) |
(-.f64 4 (/.f64 1 (*.f64 i i))) |
(+.f64 4 (/.f64 -1 (*.f64 i i))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (*.f64 i i) (*.f64 i i)) |
| ✓ | 15.0b | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1)) |
| ✓ | 40.9b | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) |
Compiled 73 to 39 computations (46.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | i | @ | -inf | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) |
| 1.0ms | i | @ | 0 | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) |
| 1.0ms | i | @ | inf | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) |
| 0.0ms | i | @ | 0 | (*.f64 (*.f64 i i) (*.f64 i i)) |
| 0.0ms | i | @ | inf | (*.f64 (*.f64 i i) (*.f64 i i)) |
| 1× | batch-egg-rewrite |
| 775× | log-prod_binary64 |
| 508× | prod-diff_binary64 |
| 288× | fma-def_binary64 |
| 260× | log-div_binary64 |
| 217× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 51 |
| 1 | 255 | 40 |
| 2 | 3965 | 40 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) |
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1)) |
(*.f64 (*.f64 i i) (*.f64 i i)) |
| Outputs |
|---|
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egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 i 4) (/.f64 1/4 (*.f64 i i)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 i 4) (/.f64 1/4 (*.f64 i i)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 i 4) (/.f64 1/4 (*.f64 i i)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 i 4) (/.f64 1/4 (*.f64 i i)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 i 4) (*.f64 (*.f64 i (*.f64 i 4)) (fma.f64 i (*.f64 i 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 i 4) (*.f64 (*.f64 i (*.f64 i 4)) (fma.f64 i (*.f64 i 4) -1))))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 i 4) (*.f64 (*.f64 i (*.f64 i 4)) (fma.f64 i (*.f64 i 4) -1))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 i 4) (*.f64 (*.f64 i (*.f64 i 4)) (fma.f64 i (*.f64 i 4) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 i 4) (*.f64 (*.f64 i (*.f64 i 4)) (fma.f64 i (*.f64 i 4) -1)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 i 4) (*.f64 (*.f64 i (*.f64 i 4)) (fma.f64 i (*.f64 i 4) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 i 4) (*.f64 (*.f64 i (*.f64 i 4)) (fma.f64 i (*.f64 i 4) -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 i 4) (/.f64 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(pow.f64 i 4) (*.f64 (*.f64 i (*.f64 i 4)) (fma.f64 i (*.f64 i 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 i 4) (/.f64 1/4 (*.f64 i i)))) 2) (*.f64 (cbrt.f64 (*.f64 (pow.f64 i 4) (/.f64 1/4 (*.f64 i i)))) (/.f64 1 (fma.f64 i (*.f64 i 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 i i) (/.f64 i 2)) (sqrt.f64 (fma.f64 i (*.f64 i 4) -1))) (/.f64 (*.f64 (/.f64 i i) (/.f64 i 2)) (sqrt.f64 (fma.f64 i (*.f64 i 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 i i) (/.f64 i 2)) (*.f64 (*.f64 (/.f64 i i) (/.f64 i 2)) (/.f64 1 (fma.f64 i (*.f64 i 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 (pow.f64 i 4)) (/.f64 1/4 (*.f64 i i))) (/.f64 1 (fma.f64 -4 (*.f64 i i) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 i (*.f64 i 4) -1)) (*.f64 (pow.f64 i 4) (/.f64 1/4 (*.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 i 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(pow.f64 i 4) (/.f64 1/4 (*.f64 i i)))) (fma.f64 i 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 i i) (/.f64 i 2)) (fma.f64 i 2 1)) (/.f64 (*.f64 (/.f64 i i) (/.f64 i 2)) (fma.f64 i 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 i 4) (/.f64 1/4 (*.f64 i i))) (+.f64 (pow.f64 (+.f64 i i) 6) -1)) (fma.f64 16 (pow.f64 i 4) (fma.f64 (*.f64 4 i) i 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 i 4) (/.f64 1/4 (*.f64 i i))) (fma.f64 16 (pow.f64 i 4) -1)) (fma.f64 (*.f64 4 i) i 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 i 4) (*.f64 (*.f64 i (*.f64 i 4)) (fma.f64 i (*.f64 i 4) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 i 4) (*.f64 (*.f64 i (*.f64 i 4)) (fma.f64 i (*.f64 i 4) -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 i 4) (*.f64 (*.f64 i (*.f64 i 4)) (fma.f64 i (*.f64 i 4) -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 i i) (/.f64 i 2)) (sqrt.f64 (fma.f64 i (*.f64 i 4) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 i (*.f64 i 4) -1) (*.f64 4 (/.f64 (*.f64 i i) (pow.f64 i 4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (pow.f64 i 4) (/.f64 1/4 (*.f64 i i))) (fma.f64 -4 (*.f64 i i) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 i 4) (*.f64 (*.f64 i (*.f64 i 4)) (fma.f64 i (*.f64 i 4) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 i 4) (*.f64 (*.f64 i (*.f64 i 4)) (fma.f64 i (*.f64 i 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 i 4) (*.f64 (*.f64 i (*.f64 i 4)) (fma.f64 i (*.f64 i 4) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 i 4) (*.f64 (*.f64 i (*.f64 i 4)) (fma.f64 i (*.f64 i 4) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 i 4) (/.f64 1/4 (*.f64 i i))) 3) (pow.f64 (fma.f64 i (*.f64 i 4) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 i 4) (*.f64 (*.f64 i (*.f64 i 4)) (fma.f64 i (*.f64 i 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 i 4) (*.f64 (*.f64 i (*.f64 i 4)) (fma.f64 i (*.f64 i 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 i 4) (*.f64 (*.f64 i (*.f64 i 4)) (fma.f64 i (*.f64 i 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 i 4) (*.f64 (*.f64 i (*.f64 i 4)) (fma.f64 i (*.f64 i 4) -1)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 i 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 i 4))) (cbrt.f64 (exp.f64 (pow.f64 i 4))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 i 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 i 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 i 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 i 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 i 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 i i) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 i 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 i 4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 i (cbrt.f64 i)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 i i) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 i 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 i 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 i 4)) 1)))))) |
| 1× | egg-herbie |
| 691× | cancel-sign-sub-inv_binary64 |
| 657× | fma-neg_binary64 |
| 473× | distribute-lft-out_binary64 |
| 413× | unswap-sqr_binary64 |
| 410× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 318 |
| 1 | 93 | 315 |
| 2 | 218 | 315 |
| 3 | 652 | 315 |
| 4 | 3251 | 315 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/4 (pow.f64 i 2)) |
(*.f64 1/4 (pow.f64 i 2)) |
(*.f64 1/4 (pow.f64 i 2)) |
(*.f64 1/4 (pow.f64 i 2)) |
(*.f64 1/4 (pow.f64 i 2)) |
(*.f64 1/4 (pow.f64 i 2)) |
(*.f64 1/4 (pow.f64 i 2)) |
(*.f64 1/4 (pow.f64 i 2)) |
(*.f64 1/4 (pow.f64 i 2)) |
(*.f64 1/4 (pow.f64 i 2)) |
(*.f64 1/4 (pow.f64 i 2)) |
(*.f64 1/4 (pow.f64 i 2)) |
(*.f64 -1/4 (pow.f64 i 2)) |
(+.f64 (*.f64 -1 (pow.f64 i 4)) (*.f64 -1/4 (pow.f64 i 2))) |
(+.f64 (*.f64 -1 (pow.f64 i 4)) (+.f64 (*.f64 -1/4 (pow.f64 i 2)) (*.f64 -4 (pow.f64 i 6)))) |
(+.f64 (*.f64 -16 (pow.f64 i 8)) (+.f64 (*.f64 -1 (pow.f64 i 4)) (+.f64 (*.f64 -1/4 (pow.f64 i 2)) (*.f64 -4 (pow.f64 i 6))))) |
1/16 |
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2)))) |
(+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))) |
(+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (*.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2)))))) |
1/16 |
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2)))) |
(+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))) |
(+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (*.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2)))))) |
(pow.f64 i 4) |
(pow.f64 i 4) |
(pow.f64 i 4) |
(pow.f64 i 4) |
(pow.f64 i 4) |
(pow.f64 i 4) |
(pow.f64 i 4) |
(pow.f64 i 4) |
(pow.f64 i 4) |
(pow.f64 i 4) |
(pow.f64 i 4) |
(pow.f64 i 4) |
| Outputs |
|---|
(*.f64 1/4 (pow.f64 i 2)) |
(*.f64 1/4 (*.f64 i i)) |
(*.f64 1/4 (pow.f64 i 2)) |
(*.f64 1/4 (*.f64 i i)) |
(*.f64 1/4 (pow.f64 i 2)) |
(*.f64 1/4 (*.f64 i i)) |
(*.f64 1/4 (pow.f64 i 2)) |
(*.f64 1/4 (*.f64 i i)) |
(*.f64 1/4 (pow.f64 i 2)) |
(*.f64 1/4 (*.f64 i i)) |
(*.f64 1/4 (pow.f64 i 2)) |
(*.f64 1/4 (*.f64 i i)) |
(*.f64 1/4 (pow.f64 i 2)) |
(*.f64 1/4 (*.f64 i i)) |
(*.f64 1/4 (pow.f64 i 2)) |
(*.f64 1/4 (*.f64 i i)) |
(*.f64 1/4 (pow.f64 i 2)) |
(*.f64 1/4 (*.f64 i i)) |
(*.f64 1/4 (pow.f64 i 2)) |
(*.f64 1/4 (*.f64 i i)) |
(*.f64 1/4 (pow.f64 i 2)) |
(*.f64 1/4 (*.f64 i i)) |
(*.f64 1/4 (pow.f64 i 2)) |
(*.f64 1/4 (*.f64 i i)) |
(*.f64 -1/4 (pow.f64 i 2)) |
(*.f64 (*.f64 i i) -1/4) |
(*.f64 i (*.f64 i -1/4)) |
(+.f64 (*.f64 -1 (pow.f64 i 4)) (*.f64 -1/4 (pow.f64 i 2))) |
(fma.f64 -1 (pow.f64 i 4) (*.f64 (*.f64 i i) -1/4)) |
(-.f64 (*.f64 i (*.f64 i -1/4)) (pow.f64 i 4)) |
(*.f64 i (-.f64 (*.f64 i -1/4) (pow.f64 i 3))) |
(+.f64 (*.f64 -1 (pow.f64 i 4)) (+.f64 (*.f64 -1/4 (pow.f64 i 2)) (*.f64 -4 (pow.f64 i 6)))) |
(fma.f64 -1 (pow.f64 i 4) (fma.f64 -1/4 (*.f64 i i) (*.f64 -4 (pow.f64 i 6)))) |
(-.f64 (fma.f64 (*.f64 i i) -1/4 (*.f64 -4 (pow.f64 i 6))) (pow.f64 i 4)) |
(fma.f64 -4 (pow.f64 i 6) (*.f64 i (-.f64 (*.f64 i -1/4) (pow.f64 i 3)))) |
(fma.f64 i (-.f64 (*.f64 i -1/4) (pow.f64 i 3)) (*.f64 -4 (pow.f64 i 6))) |
(-.f64 (*.f64 -4 (pow.f64 i 6)) (*.f64 (*.f64 i i) (fma.f64 i i 1/4))) |
(+.f64 (*.f64 -16 (pow.f64 i 8)) (+.f64 (*.f64 -1 (pow.f64 i 4)) (+.f64 (*.f64 -1/4 (pow.f64 i 2)) (*.f64 -4 (pow.f64 i 6))))) |
(fma.f64 -16 (pow.f64 i 8) (fma.f64 -1 (pow.f64 i 4) (fma.f64 -1/4 (*.f64 i i) (*.f64 -4 (pow.f64 i 6))))) |
(fma.f64 -16 (pow.f64 i 8) (-.f64 (fma.f64 (*.f64 i i) -1/4 (*.f64 -4 (pow.f64 i 6))) (pow.f64 i 4))) |
(fma.f64 -16 (pow.f64 i 8) (fma.f64 -4 (pow.f64 i 6) (*.f64 i (-.f64 (*.f64 i -1/4) (pow.f64 i 3))))) |
(fma.f64 -16 (pow.f64 i 8) (fma.f64 i (-.f64 (*.f64 i -1/4) (pow.f64 i 3)) (*.f64 -4 (pow.f64 i 6)))) |
(-.f64 (fma.f64 i (*.f64 i -1/4) (fma.f64 -4 (pow.f64 i 6) (*.f64 -16 (pow.f64 i 8)))) (pow.f64 i 4)) |
1/16 |
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2)))) |
(+.f64 1/16 (/.f64 1/64 (*.f64 i i))) |
(+.f64 1/16 (/.f64 (/.f64 1/64 i) i)) |
(+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))) |
(+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/256 (pow.f64 i 4))) |
(+.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (/.f64 (/.f64 1/64 i) i)) 1/16) |
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/256 (pow.f64 i 4)))) |
(+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (*.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2)))))) |
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (+.f64 1/16 (/.f64 1/1024 (pow.f64 i 6))) (/.f64 1/64 (*.f64 i i)))) |
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 1/16 (+.f64 (/.f64 (/.f64 1/64 i) i) (/.f64 1/1024 (pow.f64 i 6))))) |
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 (/.f64 1/1024 (pow.f64 i 6)) (/.f64 1/256 (pow.f64 i 4))))) |
(+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 1/16 (/.f64 1/1024 (pow.f64 i 6))))) |
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 (/.f64 1/256 (pow.f64 i 4)) (/.f64 1/1024 (pow.f64 i 6))))) |
1/16 |
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2)))) |
(+.f64 1/16 (/.f64 1/64 (*.f64 i i))) |
(+.f64 1/16 (/.f64 (/.f64 1/64 i) i)) |
(+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))) |
(+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/256 (pow.f64 i 4))) |
(+.f64 (+.f64 (/.f64 1/256 (pow.f64 i 4)) (/.f64 (/.f64 1/64 i) i)) 1/16) |
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/256 (pow.f64 i 4)))) |
(+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (*.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2)))))) |
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 (+.f64 1/16 (/.f64 1/1024 (pow.f64 i 6))) (/.f64 1/64 (*.f64 i i)))) |
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 1/16 (+.f64 (/.f64 (/.f64 1/64 i) i) (/.f64 1/1024 (pow.f64 i 6))))) |
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 (/.f64 1/1024 (pow.f64 i 6)) (/.f64 1/256 (pow.f64 i 4))))) |
(+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 1/16 (/.f64 1/1024 (pow.f64 i 6))))) |
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 (/.f64 1/256 (pow.f64 i 4)) (/.f64 1/1024 (pow.f64 i 6))))) |
(pow.f64 i 4) |
(pow.f64 i 4) |
(pow.f64 i 4) |
(pow.f64 i 4) |
(pow.f64 i 4) |
(pow.f64 i 4) |
(pow.f64 i 4) |
(pow.f64 i 4) |
(pow.f64 i 4) |
(pow.f64 i 4) |
(pow.f64 i 4) |
(pow.f64 i 4) |
Compiled 5869 to 4523 computations (22.9% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 318 | 4 | 322 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 319 | 5 | 324 |
| Status | Error | Program |
|---|---|---|
| 31.0b | 1/16 | |
| ▶ | 31.2b | (+.f64 1/16 (/.f64 (/.f64 1/64 i) i)) |
| ▶ | 32.7b | (*.f64 i (*.f64 i -1/4)) |
| ✓ | 0.3b | (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) |
| ▶ | 15.5b | (/.f64 (*.f64 1/4 (*.f64 i i)) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1)) |
Compiled 42 to 32 computations (23.8% saved)
Compiled 11 to 7 computations (36.4% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (/.f64 1/64 i) i) |
Compiled 19 to 13 computations (31.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | i | @ | 0 | (/.f64 (/.f64 1/64 i) i) |
| 0.0ms | i | @ | inf | (/.f64 (/.f64 1/64 i) i) |
| 0.0ms | i | @ | -inf | (/.f64 (/.f64 1/64 i) i) |
| 1× | batch-egg-rewrite |
| 578× | pow1_binary64 |
| 546× | add-log-exp_binary64 |
| 546× | log1p-expm1-u_binary64 |
| 546× | expm1-log1p-u_binary64 |
| 536× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 113 | 7 |
| 2 | 1481 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 1/64 i) i) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/64 (*.f64 i i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/64 (*.f64 (/.f64 1 i) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/64 (/.f64 (/.f64 1 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/64 (/.f64 1 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/64 i) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/64 (*.f64 i i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/64 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 i) 2)) (pow.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 i) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 i) 2)) 2) (/.f64 1/4 (pow.f64 (cbrt.f64 i) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/4 (cbrt.f64 i)) 2) (*.f64 (/.f64 1/4 (cbrt.f64 i)) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/8 i) (/.f64 1/8 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/64 i)) (*.f64 (sqrt.f64 (/.f64 1/64 i)) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/64 i) (/.f64 1 (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (/.f64 1/64 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 1/4 (cbrt.f64 i)) 2) 1) (/.f64 (/.f64 1/4 (cbrt.f64 i)) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 1/64 i)) 1) (/.f64 (sqrt.f64 (/.f64 1/64 i)) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/64 (pow.f64 (cbrt.f64 i) 2)) (/.f64 (/.f64 1 i) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 i) 2)) (/.f64 (/.f64 1/64 i) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 1/4 (cbrt.f64 i)) 2) (pow.f64 (cbrt.f64 i) 2)) (/.f64 1/4 (pow.f64 (cbrt.f64 i) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 1/64 i)) (pow.f64 (cbrt.f64 i) 2)) (/.f64 (sqrt.f64 (/.f64 1/64 i)) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/64 (sqrt.f64 i)) (/.f64 (/.f64 1 i) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 i)) (/.f64 (/.f64 1/64 i) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 1/4 (cbrt.f64 i)) 2) (sqrt.f64 i)) (/.f64 (/.f64 1/4 (cbrt.f64 i)) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/64 (*.f64 i i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/64 (*.f64 i i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 i) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/8 i) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 i (*.f64 i 64)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1/64 i) (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1/64 (*.f64 i i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/64 (*.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/64 (*.f64 i i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/64 (*.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/64 (*.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/64 (*.f64 i i)))))))) |
| 1× | egg-herbie |
| 1140× | associate-/r*_binary64 |
| 1082× | sqr-pow_binary64 |
| 560× | cube-prod_binary64 |
| 554× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 84 |
| 1 | 11 | 84 |
| 2 | 20 | 84 |
| 3 | 35 | 84 |
| 4 | 75 | 84 |
| 5 | 224 | 84 |
| 6 | 834 | 84 |
| 7 | 2042 | 84 |
| 8 | 2208 | 84 |
| 9 | 2392 | 84 |
| 10 | 2600 | 84 |
| 11 | 2899 | 84 |
| 12 | 3292 | 84 |
| 13 | 3771 | 84 |
| 14 | 4337 | 84 |
| 15 | 5023 | 84 |
| 16 | 5856 | 84 |
| 17 | 6246 | 84 |
| 18 | 6538 | 84 |
| 19 | 6816 | 84 |
| 20 | 6890 | 84 |
| 21 | 6926 | 84 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/64 (pow.f64 i 2)) |
(/.f64 1/64 (pow.f64 i 2)) |
(/.f64 1/64 (pow.f64 i 2)) |
(/.f64 1/64 (pow.f64 i 2)) |
(/.f64 1/64 (pow.f64 i 2)) |
(/.f64 1/64 (pow.f64 i 2)) |
(/.f64 1/64 (pow.f64 i 2)) |
(/.f64 1/64 (pow.f64 i 2)) |
(/.f64 1/64 (pow.f64 i 2)) |
(/.f64 1/64 (pow.f64 i 2)) |
(/.f64 1/64 (pow.f64 i 2)) |
(/.f64 1/64 (pow.f64 i 2)) |
| Outputs |
|---|
(/.f64 1/64 (pow.f64 i 2)) |
(/.f64 1/64 (*.f64 i i)) |
(/.f64 1/64 (pow.f64 i 2)) |
(/.f64 1/64 (*.f64 i i)) |
(/.f64 1/64 (pow.f64 i 2)) |
(/.f64 1/64 (*.f64 i i)) |
(/.f64 1/64 (pow.f64 i 2)) |
(/.f64 1/64 (*.f64 i i)) |
(/.f64 1/64 (pow.f64 i 2)) |
(/.f64 1/64 (*.f64 i i)) |
(/.f64 1/64 (pow.f64 i 2)) |
(/.f64 1/64 (*.f64 i i)) |
(/.f64 1/64 (pow.f64 i 2)) |
(/.f64 1/64 (*.f64 i i)) |
(/.f64 1/64 (pow.f64 i 2)) |
(/.f64 1/64 (*.f64 i i)) |
(/.f64 1/64 (pow.f64 i 2)) |
(/.f64 1/64 (*.f64 i i)) |
(/.f64 1/64 (pow.f64 i 2)) |
(/.f64 1/64 (*.f64 i i)) |
(/.f64 1/64 (pow.f64 i 2)) |
(/.f64 1/64 (*.f64 i i)) |
(/.f64 1/64 (pow.f64 i 2)) |
(/.f64 1/64 (*.f64 i i)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 15.0b | (/.f64 (*.f64 1/4 (*.f64 i i)) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1)) |
Compiled 47 to 31 computations (34% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | i | @ | 0 | (/.f64 (*.f64 1/4 (*.f64 i i)) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1)) |
| 0.0ms | i | @ | inf | (/.f64 (*.f64 1/4 (*.f64 i i)) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1)) |
| 0.0ms | i | @ | -inf | (/.f64 (*.f64 1/4 (*.f64 i i)) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1)) |
| 1× | batch-egg-rewrite |
| 616× | log-prod_binary64 |
| 448× | prod-diff_binary64 |
| 335× | pow-prod-down_binary64 |
| 282× | pow2_binary64 |
| 240× | pow-unpow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 19 |
| 1 | 245 | 17 |
| 2 | 3259 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 1/4 (*.f64 i i)) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/4 (/.f64 (*.f64 i i) (fma.f64 i (*.f64 i 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 1/4 (/.f64 (*.f64 i i) (fma.f64 i (*.f64 i 4) -1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 1/4 (/.f64 (*.f64 i i) (fma.f64 i (*.f64 i 4) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 1/4 (/.f64 (*.f64 i i) (fma.f64 i (*.f64 i 4) -1)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 1/4 (/.f64 (*.f64 i i) (fma.f64 i (*.f64 i 4) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (/.f64 (*.f64 i i) (fma.f64 i (*.f64 i 4) -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (*.f64 i i) (fma.f64 i (*.f64 i 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 1 (*.f64 (fma.f64 i (*.f64 i 4) -1) (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (*.f64 i i) (/.f64 1 (fma.f64 i (*.f64 i 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 i i) (*.f64 1/4 (/.f64 1 (fma.f64 i (*.f64 i 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/4 (*.f64 i i)) (/.f64 1 (fma.f64 i (*.f64 i 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/4 (/.f64 (*.f64 i i) (fma.f64 i (*.f64 i 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/4 (/.f64 (*.f64 i i) (fma.f64 i (*.f64 i 4) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/4 (/.f64 (*.f64 i i) (fma.f64 i (*.f64 i 4) -1)))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 i 1/2) (sqrt.f64 (fma.f64 i (*.f64 i 4) -1))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 i 1/2) (sqrt.f64 (fma.f64 i (*.f64 i 4) -1))) 4)) (cbrt.f64 (*.f64 1/4 (/.f64 (*.f64 i i) (fma.f64 i (*.f64 i 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 i 1/2) 4)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 i 1/2)) 2) (/.f64 1 (fma.f64 i (*.f64 i 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 i 1/2) (sqrt.f64 (fma.f64 i (*.f64 i 4) -1))) (/.f64 (*.f64 i 1/2) (sqrt.f64 (fma.f64 i (*.f64 i 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 i 1/2) (*.f64 (*.f64 i 1/2) (/.f64 1 (fma.f64 i (*.f64 i 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 i i) -1/4) (/.f64 1 (neg.f64 (fma.f64 i (*.f64 i 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 i (*.f64 i 4) -1)) (*.f64 1/4 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/4 i) (*.f64 i (/.f64 1 (fma.f64 i (*.f64 i 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 i i) 1) (/.f64 1/4 (fma.f64 i (*.f64 i 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (fma.f64 i (*.f64 i 4) -1)) (*.f64 i i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 i 1/2) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (*.f64 i 1/2)) 2) (fma.f64 i (*.f64 i 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 i 1/2) 1) (/.f64 (*.f64 i 1/2) (fma.f64 i (*.f64 i 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/4 i) 1) (/.f64 i (fma.f64 i (*.f64 i 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (cbrt.f64 (pow.f64 (fma.f64 i (*.f64 i 4) -1) 2))) (/.f64 (*.f64 i i) (cbrt.f64 (fma.f64 i (*.f64 i 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 i i) (cbrt.f64 (pow.f64 (fma.f64 i (*.f64 i 4) -1) 2))) (/.f64 1/4 (cbrt.f64 (fma.f64 i (*.f64 i 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 i (*.f64 i 4) -1)) -2) (/.f64 (*.f64 1/4 (*.f64 i i)) (cbrt.f64 (fma.f64 i (*.f64 i 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 i 1/2) 4)) (cbrt.f64 (pow.f64 (fma.f64 i (*.f64 i 4) -1) 2))) (cbrt.f64 (*.f64 1/4 (/.f64 (*.f64 i i) (fma.f64 i (*.f64 i 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 i 1/2) (cbrt.f64 (pow.f64 (fma.f64 i (*.f64 i 4) -1) 2))) (/.f64 (*.f64 i 1/2) (cbrt.f64 (fma.f64 i (*.f64 i 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/4 i) (cbrt.f64 (pow.f64 (fma.f64 i (*.f64 i 4) -1) 2))) (/.f64 i (cbrt.f64 (fma.f64 i (*.f64 i 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (sqrt.f64 (fma.f64 i (*.f64 i 4) -1))) (/.f64 (*.f64 i i) (sqrt.f64 (fma.f64 i (*.f64 i 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 i i) (sqrt.f64 (fma.f64 i (*.f64 i 4) -1))) (/.f64 1/4 (sqrt.f64 (fma.f64 i (*.f64 i 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 i (*.f64 i 4) -1) -1/2) (/.f64 (*.f64 1/4 (*.f64 i i)) (sqrt.f64 (fma.f64 i (*.f64 i 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 i 1/2) 4)) (sqrt.f64 (fma.f64 i (*.f64 i 4) -1))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 i 1/2)) 2) (sqrt.f64 (fma.f64 i (*.f64 i 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/4 i) (sqrt.f64 (fma.f64 i (*.f64 i 4) -1))) (/.f64 i (sqrt.f64 (fma.f64 i (*.f64 i 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (fma.f64 i 2 1)) (/.f64 (*.f64 i i) (fma.f64 i 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 i i) (fma.f64 i 2 1)) (/.f64 1/4 (fma.f64 i 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 i 2 1)) (/.f64 (*.f64 1/4 (*.f64 i i)) (fma.f64 i 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 i 1/2) 4)) (fma.f64 i 2 1)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 i 1/2)) 2) (fma.f64 i 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 i 1/2) (fma.f64 i 2 1)) (/.f64 (*.f64 i 1/2) (fma.f64 i 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/4 i) (fma.f64 i 2 1)) (/.f64 i (fma.f64 i 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/4 (*.f64 i i)) (fma.f64 64 (pow.f64 i 6) -1)) (fma.f64 16 (pow.f64 i 4) (fma.f64 i (*.f64 i 4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/4 (*.f64 i i)) (fma.f64 16 (pow.f64 i 4) -1)) (fma.f64 i (*.f64 i 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (/.f64 (*.f64 i i) (fma.f64 i (*.f64 i 4) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 i 1/2) (sqrt.f64 (fma.f64 i (*.f64 i 4) -1))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 i 1/2) (sqrt.f64 (fma.f64 i (*.f64 i 4) -1))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/4 (/.f64 (*.f64 i i) (fma.f64 i (*.f64 i 4) -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 i 1/2) (sqrt.f64 (fma.f64 i (*.f64 i 4) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 i (*.f64 i 4) -1) (pow.f64 (*.f64 i 1/2) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 i 1/2) 6) (pow.f64 (fma.f64 i (*.f64 i 4) -1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (fma.f64 i (*.f64 i 4) -1) (pow.f64 (*.f64 i 1/2) -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 1/4 (*.f64 i i)) (neg.f64 (fma.f64 i (*.f64 i 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 i 1/2) (sqrt.f64 (fma.f64 i (*.f64 i 4) -1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1/4 (/.f64 (*.f64 i i) (fma.f64 i (*.f64 i 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (/.f64 (*.f64 i i) (fma.f64 i (*.f64 i 4) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 i 1/2) (sqrt.f64 (fma.f64 i (*.f64 i 4) -1))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 i 1/2) 6) (pow.f64 (fma.f64 i (*.f64 i 4) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/4 (/.f64 (*.f64 i i) (fma.f64 i (*.f64 i 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/4 (/.f64 (*.f64 i i) (fma.f64 i (*.f64 i 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/4 (/.f64 (*.f64 i i) (fma.f64 i (*.f64 i 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/4 (/.f64 (*.f64 i i) (fma.f64 i (*.f64 i 4) -1)))) 1)))))) |
| 1× | egg-herbie |
| 691× | cancel-sign-sub-inv_binary64 |
| 657× | fma-neg_binary64 |
| 472× | distribute-lft-out_binary64 |
| 413× | unswap-sqr_binary64 |
| 410× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 186 |
| 1 | 90 | 183 |
| 2 | 211 | 183 |
| 3 | 637 | 183 |
| 4 | 3179 | 183 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/4 (pow.f64 i 2)) |
(+.f64 (*.f64 -1 (pow.f64 i 4)) (*.f64 -1/4 (pow.f64 i 2))) |
(+.f64 (*.f64 -1 (pow.f64 i 4)) (+.f64 (*.f64 -1/4 (pow.f64 i 2)) (*.f64 -4 (pow.f64 i 6)))) |
(+.f64 (*.f64 -16 (pow.f64 i 8)) (+.f64 (*.f64 -1 (pow.f64 i 4)) (+.f64 (*.f64 -1/4 (pow.f64 i 2)) (*.f64 -4 (pow.f64 i 6))))) |
1/16 |
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2)))) |
(+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))) |
(+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (*.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2)))))) |
1/16 |
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2)))) |
(+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))) |
(+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (*.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2)))))) |
| Outputs |
|---|
(*.f64 -1/4 (pow.f64 i 2)) |
(*.f64 -1/4 (*.f64 i i)) |
(+.f64 (*.f64 -1 (pow.f64 i 4)) (*.f64 -1/4 (pow.f64 i 2))) |
(fma.f64 -1 (pow.f64 i 4) (*.f64 -1/4 (*.f64 i i))) |
(-.f64 (*.f64 -1/4 (*.f64 i i)) (pow.f64 i 4)) |
(+.f64 (*.f64 -1 (pow.f64 i 4)) (+.f64 (*.f64 -1/4 (pow.f64 i 2)) (*.f64 -4 (pow.f64 i 6)))) |
(fma.f64 -1 (pow.f64 i 4) (fma.f64 -1/4 (*.f64 i i) (*.f64 -4 (pow.f64 i 6)))) |
(-.f64 (fma.f64 -1/4 (*.f64 i i) (*.f64 -4 (pow.f64 i 6))) (pow.f64 i 4)) |
(-.f64 (fma.f64 -4 (pow.f64 i 6) (*.f64 -1/4 (*.f64 i i))) (pow.f64 i 4)) |
(-.f64 (*.f64 -4 (pow.f64 i 6)) (*.f64 (*.f64 i i) (fma.f64 i i 1/4))) |
(+.f64 (*.f64 -16 (pow.f64 i 8)) (+.f64 (*.f64 -1 (pow.f64 i 4)) (+.f64 (*.f64 -1/4 (pow.f64 i 2)) (*.f64 -4 (pow.f64 i 6))))) |
(fma.f64 -16 (pow.f64 i 8) (fma.f64 -1 (pow.f64 i 4) (fma.f64 -1/4 (*.f64 i i) (*.f64 -4 (pow.f64 i 6))))) |
(fma.f64 -16 (pow.f64 i 8) (-.f64 (fma.f64 -1/4 (*.f64 i i) (*.f64 -4 (pow.f64 i 6))) (pow.f64 i 4))) |
(-.f64 (fma.f64 -16 (pow.f64 i 8) (fma.f64 -4 (pow.f64 i 6) (*.f64 -1/4 (*.f64 i i)))) (pow.f64 i 4)) |
(-.f64 (*.f64 -16 (pow.f64 i 8)) (fma.f64 i (*.f64 i (fma.f64 i i 1/4)) (*.f64 4 (pow.f64 i 6)))) |
1/16 |
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2)))) |
(+.f64 1/16 (/.f64 1/64 (*.f64 i i))) |
(+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))) |
(+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/256 (pow.f64 i 4))) |
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/256 (pow.f64 i 4)))) |
(+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 1/16 (/.f64 1/256 (pow.f64 i 4)))) |
(+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (*.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2)))))) |
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/1024 (pow.f64 i 6))))) |
(+.f64 1/16 (+.f64 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/1024 (pow.f64 i 6))) (/.f64 1/256 (pow.f64 i 4)))) |
(+.f64 1/16 (+.f64 (/.f64 1/1024 (pow.f64 i 6)) (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/256 (pow.f64 i 4))))) |
(+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 1/16 (/.f64 1/1024 (pow.f64 i 6))))) |
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 (/.f64 1/256 (pow.f64 i 4)) (/.f64 1/1024 (pow.f64 i 6))))) |
1/16 |
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2)))) |
(+.f64 1/16 (/.f64 1/64 (*.f64 i i))) |
(+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))) |
(+.f64 (+.f64 1/16 (/.f64 1/64 (*.f64 i i))) (/.f64 1/256 (pow.f64 i 4))) |
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/256 (pow.f64 i 4)))) |
(+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 1/16 (/.f64 1/256 (pow.f64 i 4)))) |
(+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (*.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2)))))) |
(+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/1024 (pow.f64 i 6))))) |
(+.f64 1/16 (+.f64 (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/1024 (pow.f64 i 6))) (/.f64 1/256 (pow.f64 i 4)))) |
(+.f64 1/16 (+.f64 (/.f64 1/1024 (pow.f64 i 6)) (+.f64 (/.f64 1/64 (*.f64 i i)) (/.f64 1/256 (pow.f64 i 4))))) |
(+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 (/.f64 1/256 (pow.f64 i 4)) (+.f64 1/16 (/.f64 1/1024 (pow.f64 i 6))))) |
(+.f64 1/16 (+.f64 (/.f64 1/64 (*.f64 i i)) (+.f64 (/.f64 1/256 (pow.f64 i 4)) (/.f64 1/1024 (pow.f64 i 6))))) |
Compiled 1724 to 1241 computations (28% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 113 | 0 | 113 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 113 | 5 | 118 |
| Status | Error | Program |
|---|---|---|
| 31.0b | 1/16 | |
| ✓ | 31.2b | (+.f64 1/16 (/.f64 (/.f64 1/64 i) i)) |
| ✓ | 32.7b | (*.f64 i (*.f64 i -1/4)) |
| ✓ | 0.3b | (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) |
| ✓ | 15.5b | (/.f64 (*.f64 1/4 (*.f64 i i)) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1)) |
Compiled 42 to 32 computations (23.8% saved)
Compiled 1 to 1 computations (0% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 4 | 4 |
| Total | 0 | 5 | 5 |
| Status | Error | Program |
|---|---|---|
| 31.0b | 1/16 | |
| ✓ | 31.2b | (+.f64 1/16 (/.f64 (/.f64 1/64 i) i)) |
| ✓ | 32.7b | (*.f64 i (*.f64 i -1/4)) |
| ✓ | 0.3b | (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) |
| ✓ | 15.5b | (/.f64 (*.f64 1/4 (*.f64 i i)) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1)) |
Compiled 42 to 32 computations (23.8% saved)
Compiled 1 to 1 computations (0% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 4 | 4 |
| Total | 0 | 5 | 5 |
| Status | Error | Program |
|---|---|---|
| 31.0b | 1/16 | |
| ✓ | 31.2b | (+.f64 1/16 (/.f64 (/.f64 1/64 i) i)) |
| ✓ | 32.7b | (*.f64 i (*.f64 i -1/4)) |
| ✓ | 0.3b | (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) |
| ✓ | 15.5b | (/.f64 (*.f64 1/4 (*.f64 i i)) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1)) |
Compiled 42 to 32 computations (23.8% saved)
| Inputs |
|---|
1/16 |
(*.f64 i (*.f64 i -1/4)) |
(+.f64 1/16 (/.f64 (/.f64 1/64 i) i)) |
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) |
(/.f64 (*.f64 1/4 (*.f64 i i)) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1)) |
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1)) |
| Outputs |
|---|
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) |
3 calls:
| 5.0ms | i |
| 4.0ms | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1)) |
| 3.0ms | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1)) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | i |
| 0.3b | 1 | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1)) |
| 0.3b | 1 | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1)) |
Compiled 117 to 77 computations (34.2% saved)
| Inputs |
|---|
1/16 |
(*.f64 i (*.f64 i -1/4)) |
(+.f64 1/16 (/.f64 (/.f64 1/64 i) i)) |
| Outputs |
|---|
(*.f64 i (*.f64 i -1/4)) |
(+.f64 1/16 (/.f64 (/.f64 1/64 i) i)) |
1 calls:
| 7.0ms | i |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 2 | i |
Compiled 16 to 11 computations (31.3% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 9.222089945738638e-6 | 0.6597610173121021 |
Compiled 30 to 20 computations (33.3% saved)
Total -62.2b remaining (-8367.9%)
Threshold costs -62.2b (-8367.9%)
| Inputs |
|---|
1/16 |
(*.f64 i (*.f64 i -1/4)) |
| Outputs |
|---|
(*.f64 i (*.f64 i -1/4)) |
1/16 |
1 calls:
| 18.0ms | i |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 2 | i |
Compiled 9 to 6 computations (33.3% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 83.0ms | 9.222089945738638e-6 | 0.6597610173121021 |
Compiled 30 to 20 computations (33.3% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
| 2× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 51 |
| 1 | 26 | 51 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) |
(if (<=.f64 i 5443761057720661/590295810358705651712) (*.f64 i (*.f64 i -1/4)) (+.f64 1/16 (/.f64 (/.f64 1/64 i) i))) |
(if (<=.f64 i 5443761057720661/590295810358705651712) (*.f64 i (*.f64 i -1/4)) 1/16) |
1/16 |
| Outputs |
|---|
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) |
(if (<=.f64 i 5443761057720661/590295810358705651712) (*.f64 i (*.f64 i -1/4)) (+.f64 1/16 (/.f64 (/.f64 1/64 i) i))) |
(if (<=.f64 i 5443761057720661/590295810358705651712) (*.f64 i (*.f64 i -1/4)) 1/16) |
1/16 |
Compiled 40 to 30 computations (25% saved)
| 1× | egg-herbie |
| 579× | associate-/r*_binary64 |
| 516× | cancel-sign-sub-inv_binary64 |
| 496× | distribute-rgt-in_binary64 |
| 478× | distribute-lft-in_binary64 |
| 434× | associate-/r/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 31 |
| 1 | 40 | 26 |
| 2 | 200 | 17 |
| 3 | 1341 | 13 |
| 4 | 3774 | 13 |
| 5 | 6220 | 13 |
| 1× | node limit |
Compiled 627 to 388 computations (38.1% saved)
Compiled 37 to 27 computations (27% saved)
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