Time bar (total: 7.6s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 0% | 50% | 50% | 3 |
| 25% | 25% | 50% | 4 |
| 37.5% | 12.5% | 50% | 5 |
| 43.7% | 6.2% | 50% | 6 |
| 46.9% | 3.1% | 50% | 7 |
| 48.4% | 1.6% | 50% | 8 |
| 49.2% | 0.8% | 50% | 9 |
| 49.6% | 0.4% | 50% | 10 |
| 49.8% | 0.2% | 50% | 11 |
| 49.9% | 0.1% | 50% | 12 |
Compiled 22 to 17 computations (22.7% saved)
| 1.1s | 8256× | body | 256 | valid |
| 1.0ms | 12× | body | 256 | invalid |
| 2× | egg-herbie |
| 1332× | fma-def_binary64 |
| 576× | fma-neg_binary64 |
| 530× | distribute-rgt-in_binary64 |
| 496× | unsub-neg_binary64 |
| 430× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 31 |
| 1 | 42 | 28 |
| 2 | 109 | 26 |
| 3 | 321 | 26 |
| 4 | 967 | 26 |
| 5 | 1747 | 24 |
| 6 | 3707 | 24 |
| 7 | 6458 | 24 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))) |
| Outputs |
|---|
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))) |
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (+.f64 2 (*.f64 -6 (*.f64 v v)))))) |
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6)))) |
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) |
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (neg.f64 (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) |
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) |
(/.f64 (/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) |
(/.f64 -4/3 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1))) |
Compiled 22 to 17 computations (22.7% saved)
| 1× | egg-herbie |
| 1332× | fma-def_binary64 |
| 576× | fma-neg_binary64 |
| 530× | distribute-rgt-in_binary64 |
| 496× | unsub-neg_binary64 |
| 430× | distribute-lft-in_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 31 |
| 1 | 42 | 28 |
| 2 | 109 | 26 |
| 3 | 321 | 26 |
| 4 | 967 | 26 |
| 5 | 1747 | 24 |
| 6 | 3707 | 24 |
| 7 | 6458 | 24 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))) |
| Outputs |
|---|
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))) |
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (+.f64 2 (*.f64 -6 (*.f64 v v)))))) |
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6)))) |
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) |
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (neg.f64 (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) |
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) |
(/.f64 (/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) |
(/.f64 -4/3 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1))) |
Compiled 37 to 27 computations (27% 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 |
|---|---|---|
| ▶ | 1.0b | (/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))) |
| ▶ | 0.0b | (/.f64 -4/3 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1))) |
Compiled 38 to 29 computations (23.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1)) |
| ✓ | 0.0b | (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) |
| ✓ | 0.0b | (/.f64 -4/3 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1))) |
Compiled 66 to 45 computations (31.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | v | @ | -inf | (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) |
| 2.0ms | v | @ | 0 | (/.f64 -4/3 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1))) |
| 2.0ms | v | @ | inf | (/.f64 -4/3 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1))) |
| 2.0ms | v | @ | -inf | (/.f64 -4/3 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1))) |
| 1.0ms | v | @ | inf | (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1)) |
| 1× | batch-egg-rewrite |
| 631× | log-prod_binary64 |
| 405× | pow-prod-down_binary64 |
| 348× | pow2_binary64 |
| 246× | pow1/3_binary64 |
| 243× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 55 |
| 1 | 288 | 55 |
| 2 | 3355 | 55 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -4/3 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1))) |
(sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) |
(*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4/3 (/.f64 1 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))) -3/4) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))) -3/4) -2)) (cbrt.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))) (sqrt.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (/.f64 1 (*.f64 (PI.f64) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 1 (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))) -3/4) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))) -3/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))) -3/4) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))) -3/4) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) (*.f64 (PI.f64) (fma.f64 v v -1))))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 v (*.f64 v -6) 2)) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/6) (cbrt.f64 (fma.f64 v (*.f64 v -6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4) (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -6) 2)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 v (*.f64 v -6) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 1)))))) |
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| 1× | egg-herbie |
| 577× | associate-/r*_binary64 |
| 558× | associate-*l*_binary64 |
| 538× | associate-*r*_binary64 |
| 440× | times-frac_binary64 |
| 391× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 212 | 1968 |
| 1 | 694 | 1857 |
| 2 | 2572 | 1722 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))) |
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))) |
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 6) (-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))) |
(*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))) |
(+.f64 (*.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))) |
(+.f64 (*.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (+.f64 (*.f64 -4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))) |
(+.f64 (*.f64 -4/3 (/.f64 (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 9))) (+.f64 (*.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (+.f64 (*.f64 -4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))))) |
(*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))) |
(+.f64 (*.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))) |
(+.f64 (*.f64 4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))) |
(+.f64 (*.f64 4/3 (/.f64 (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 9))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))))) |
(sqrt.f64 2) |
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))) |
(+.f64 (*.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (sqrt.f64 2) (+.f64 (*.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))))) |
(*.f64 (sqrt.f64 -6) v) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -6) v)) (*.f64 (sqrt.f64 -6) v)) |
(-.f64 (+.f64 (/.f64 1 (*.f64 v (sqrt.f64 -6))) (*.f64 (sqrt.f64 -6) v)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 v (sqrt.f64 -6))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (*.f64 (sqrt.f64 -6) v))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) |
(*.f64 -1 (*.f64 v (sqrt.f64 -6))) |
(-.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -6))) (/.f64 1 (*.f64 (sqrt.f64 -6) v))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -6))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (/.f64 1 (*.f64 v (sqrt.f64 -6)))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -6))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (+.f64 (/.f64 1 (*.f64 v (sqrt.f64 -6))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))))) |
(*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64))))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 (+.f64 (*.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 4)))) |
(+.f64 (*.f64 (+.f64 (*.f64 27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5))) (*.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 6)) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 (+.f64 (*.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 4))))) |
(*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))) |
(+.f64 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64)))) |
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 v (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64)))))) |
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 v (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5)))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64)))))))) |
(*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))) |
(+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))) v)) (+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))) v)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)))) (pow.f64 v 3))) (+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))))) |
| Outputs |
|---|
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))) |
(fma.f64 -4/3 (*.f64 (*.f64 v v) (-.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))) |
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 -4/3 (*.f64 (*.f64 v v) (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) |
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (-.f64 (/.f64 (/.f64 -3/4 (PI.f64)) (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 -4/3 (*.f64 v v)))) |
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))) |
(fma.f64 -4/3 (*.f64 (*.f64 v v) (-.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 -4/3 (*.f64 (pow.f64 v 4) (-.f64 (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))) |
(fma.f64 -4/3 (*.f64 (*.f64 v v) (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 -4/3 (*.f64 (pow.f64 v 4) (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (fma.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))))))) |
(fma.f64 -4/3 (*.f64 v (*.f64 v (-.f64 (/.f64 (/.f64 -3/4 (PI.f64)) (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (-.f64 (fma.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 -3/4 (PI.f64)) (sqrt.f64 1/2))) (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 -4/3 (pow.f64 v 4))))) |
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 6) (-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))) |
(fma.f64 -4/3 (*.f64 (pow.f64 v 6) (-.f64 (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 -1/2 (+.f64 (/.f64 (+.f64 27/2 (*.f64 -3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 -4/3 (*.f64 (*.f64 v v) (-.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 -4/3 (*.f64 (pow.f64 v 4) (-.f64 (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))) |
(fma.f64 -4/3 (*.f64 (pow.f64 v 6) (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (fma.f64 -1/2 (+.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (+.f64 27/2 (*.f64 (-.f64 9 (/.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2) 1/2)) -3/4)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (fma.f64 -4/3 (*.f64 (*.f64 v v) (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 -4/3 (*.f64 (pow.f64 v 4) (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (fma.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))))) |
(+.f64 (*.f64 -4/3 (+.f64 (*.f64 (pow.f64 v 6) (+.f64 (*.f64 (/.f64 -1/2 (sqrt.f64 1/2)) (+.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (PI.f64)) (/.f64 135/16 (PI.f64)))) (-.f64 (/.f64 (/.f64 -3/4 (PI.f64)) (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 (*.f64 v v) (+.f64 (-.f64 (/.f64 (/.f64 -3/4 (PI.f64)) (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 v (*.f64 v (-.f64 (fma.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 -3/4 (PI.f64)) (sqrt.f64 1/2))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))) |
(*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))) |
(*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))) |
(*.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -4/3 (pow.f64 v 3))) |
(+.f64 (*.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))) |
(*.f64 -4/3 (+.f64 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))) |
(*.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)))) |
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(-.f64 (+.f64 (/.f64 1 (*.f64 v (sqrt.f64 -6))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (*.f64 (sqrt.f64 -6) v))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 v (sqrt.f64 -6))) (+.f64 (*.f64 v (sqrt.f64 -6)) (/.f64 1/2 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))))) (/.f64 1/2 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) |
(+.f64 (fma.f64 v (sqrt.f64 -6) (/.f64 1/2 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))) (-.f64 (/.f64 1 (*.f64 v (sqrt.f64 -6))) (/.f64 1/2 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) -6))))) |
(+.f64 (fma.f64 v (sqrt.f64 -6) (/.f64 1/2 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))) (+.f64 (/.f64 1 (*.f64 v (sqrt.f64 -6))) (/.f64 (/.f64 1/12 (sqrt.f64 -6)) (pow.f64 v 3)))) |
(*.f64 -1 (*.f64 v (sqrt.f64 -6))) |
(neg.f64 (*.f64 v (sqrt.f64 -6))) |
(*.f64 (sqrt.f64 -6) (neg.f64 v)) |
(-.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -6))) (/.f64 1 (*.f64 (sqrt.f64 -6) v))) |
(-.f64 (neg.f64 (*.f64 v (sqrt.f64 -6))) (/.f64 1 (*.f64 v (sqrt.f64 -6)))) |
(fma.f64 (neg.f64 v) (sqrt.f64 -6) (/.f64 -1 (*.f64 v (sqrt.f64 -6)))) |
(-.f64 (/.f64 -1 (*.f64 v (sqrt.f64 -6))) (*.f64 v (sqrt.f64 -6))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -6))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (/.f64 1 (*.f64 v (sqrt.f64 -6)))) |
(-.f64 (fma.f64 -1 (*.f64 v (sqrt.f64 -6)) (/.f64 1/2 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (/.f64 1 (*.f64 v (sqrt.f64 -6)))) |
(fma.f64 (neg.f64 v) (sqrt.f64 -6) (fma.f64 1/2 (/.f64 (/.f64 -1/6 (sqrt.f64 -6)) (pow.f64 v 3)) (/.f64 -1 (*.f64 v (sqrt.f64 -6))))) |
(-.f64 (/.f64 -1/12 (*.f64 (pow.f64 v 3) (sqrt.f64 -6))) (fma.f64 v (sqrt.f64 -6) (/.f64 1 (*.f64 v (sqrt.f64 -6))))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -6))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (+.f64 (/.f64 1 (*.f64 v (sqrt.f64 -6))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))))) |
(-.f64 (fma.f64 -1 (*.f64 v (sqrt.f64 -6)) (/.f64 1/2 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (/.f64 1 (*.f64 v (sqrt.f64 -6))) (/.f64 1/2 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5))))) |
(-.f64 (fma.f64 (neg.f64 v) (sqrt.f64 -6) (fma.f64 1/2 (/.f64 (/.f64 -1/6 (sqrt.f64 -6)) (pow.f64 v 3)) (/.f64 -1 (*.f64 v (sqrt.f64 -6))))) (/.f64 1/2 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))) |
(+.f64 (-.f64 (/.f64 -1/12 (*.f64 (pow.f64 v 3) (sqrt.f64 -6))) (fma.f64 v (sqrt.f64 -6) (/.f64 1 (*.f64 v (sqrt.f64 -6))))) (/.f64 -1/2 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))) |
(*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))) |
(neg.f64 (*.f64 (PI.f64) (sqrt.f64 2))) |
(*.f64 (PI.f64) (neg.f64 (sqrt.f64 2))) |
(*.f64 (sqrt.f64 2) (neg.f64 (PI.f64))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64))))) |
(fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 2)) (*.f64 (*.f64 v v) (fma.f64 3 (/.f64 (PI.f64) (sqrt.f64 2)) (*.f64 (PI.f64) (sqrt.f64 2))))) |
(-.f64 (*.f64 (*.f64 v v) (fma.f64 (PI.f64) (sqrt.f64 2) (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))))) (*.f64 (PI.f64) (sqrt.f64 2))) |
(fma.f64 (*.f64 v v) (fma.f64 (PI.f64) (sqrt.f64 2) (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 (+.f64 (*.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 4)))) |
(fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 2)) (fma.f64 (*.f64 v v) (fma.f64 3 (/.f64 (PI.f64) (sqrt.f64 2)) (*.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (pow.f64 v 4) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (/.f64 (*.f64 9/2 (PI.f64)) (pow.f64 (sqrt.f64 2) 3)))))) |
(-.f64 (fma.f64 (*.f64 v v) (fma.f64 (PI.f64) (sqrt.f64 2) (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2)))) (*.f64 (pow.f64 v 4) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (*.f64 9/4 (/.f64 (PI.f64) (sqrt.f64 2)))))) (*.f64 (PI.f64) (sqrt.f64 2))) |
(-.f64 (fma.f64 (*.f64 v v) (fma.f64 (PI.f64) (sqrt.f64 2) (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2)))) (*.f64 (pow.f64 v 4) (*.f64 (/.f64 (PI.f64) (sqrt.f64 2)) -3/4))) (*.f64 (PI.f64) (sqrt.f64 2))) |
(+.f64 (*.f64 (+.f64 (*.f64 27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5))) (*.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 6)) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 (+.f64 (*.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))) (pow.f64 v 4))))) |
(fma.f64 (fma.f64 27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5)) (/.f64 (*.f64 -9/2 (PI.f64)) (pow.f64 (sqrt.f64 2) 3))) (pow.f64 v 6) (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 2)) (fma.f64 (*.f64 v v) (fma.f64 3 (/.f64 (PI.f64) (sqrt.f64 2)) (*.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (pow.f64 v 4) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (/.f64 (*.f64 9/2 (PI.f64)) (pow.f64 (sqrt.f64 2) 3))))))) |
(fma.f64 (pow.f64 v 6) (fma.f64 27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5)) (*.f64 -9/4 (/.f64 (PI.f64) (sqrt.f64 2)))) (-.f64 (fma.f64 (*.f64 v v) (fma.f64 (PI.f64) (sqrt.f64 2) (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2)))) (*.f64 (pow.f64 v 4) (fma.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)) (*.f64 9/4 (/.f64 (PI.f64) (sqrt.f64 2)))))) (*.f64 (PI.f64) (sqrt.f64 2)))) |
(fma.f64 (pow.f64 v 6) (fma.f64 27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5)) (*.f64 (/.f64 (PI.f64) (sqrt.f64 2)) -9/4)) (-.f64 (fma.f64 (*.f64 v v) (fma.f64 (PI.f64) (sqrt.f64 2) (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2)))) (*.f64 (pow.f64 v 4) (*.f64 (/.f64 (PI.f64) (sqrt.f64 2)) -3/4))) (*.f64 (PI.f64) (sqrt.f64 2)))) |
(*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64))) |
(*.f64 (*.f64 (PI.f64) (pow.f64 v 3)) (sqrt.f64 -6)) |
(*.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -6))) |
(+.f64 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64)))) |
(fma.f64 v (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (*.f64 (PI.f64) (pow.f64 v 3)) (sqrt.f64 -6))) |
(fma.f64 v (-.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -6)))) |
(+.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v))) (*.f64 v (/.f64 (PI.f64) (sqrt.f64 -6)))) |
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 v (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64)))))) |
(fma.f64 -1 (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6)) (fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 v (pow.f64 (sqrt.f64 -6) 3))) (fma.f64 v (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (*.f64 (PI.f64) (pow.f64 v 3)) (sqrt.f64 -6))))) |
(-.f64 (+.f64 (/.f64 (*.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) v) (fma.f64 v (-.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -6))))) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))) |
(+.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) -11/12) v) (+.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v))) (*.f64 v (/.f64 (PI.f64) (sqrt.f64 -6))))) |
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 v (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6)))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5)))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (*.f64 (sqrt.f64 -6) (*.f64 (pow.f64 v 3) (PI.f64)))))))) |
(fma.f64 -1 (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6)) (fma.f64 -1/2 (/.f64 (PI.f64) (*.f64 v (pow.f64 (sqrt.f64 -6) 3))) (fma.f64 v (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6))) (fma.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5))) (fma.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3))) (*.f64 (*.f64 (PI.f64) (pow.f64 v 3)) (sqrt.f64 -6))))))) |
(-.f64 (+.f64 (/.f64 (*.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) v) (fma.f64 v (-.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 (PI.f64) (sqrt.f64 -6))) (fma.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 5))) (fma.f64 (*.f64 (PI.f64) (pow.f64 v 3)) (sqrt.f64 -6) (/.f64 (*.f64 -1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) (pow.f64 v 3)))))) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))) |
(+.f64 (+.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 v 3)) (+.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 -6) 5)) (/.f64 -1/12 (sqrt.f64 -6)))) (+.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v))) (*.f64 v (/.f64 (PI.f64) (sqrt.f64 -6))))) (/.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) -11/12) v)) |
(*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))) |
(neg.f64 (*.f64 (*.f64 (pow.f64 v 3) (sqrt.f64 -6)) (PI.f64))) |
(*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (neg.f64 (PI.f64)))) |
(*.f64 (PI.f64) (*.f64 (pow.f64 v 3) (neg.f64 (sqrt.f64 -6)))) |
(+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))) |
(fma.f64 -1 (*.f64 v (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (neg.f64 (*.f64 (*.f64 (pow.f64 v 3) (sqrt.f64 -6)) (PI.f64)))) |
(neg.f64 (fma.f64 v (-.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -6))))) |
(neg.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v))) (*.f64 v (/.f64 (PI.f64) (sqrt.f64 -6))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))) v)) (+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))))) |
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 -6)))) v) (fma.f64 -1 (*.f64 v (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (neg.f64 (*.f64 (*.f64 (pow.f64 v 3) (sqrt.f64 -6)) (PI.f64))))) |
(-.f64 (neg.f64 (fma.f64 v (-.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -6))))) (/.f64 (-.f64 (*.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)) |
(-.f64 (/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) -11/12)) v) (+.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v))) (*.f64 v (/.f64 (PI.f64) (sqrt.f64 -6))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))) v)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)))) (pow.f64 v 3))) (+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -6) (PI.f64))) (/.f64 (PI.f64) (sqrt.f64 -6))))) (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))))) |
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 -6)))) v) (fma.f64 -1 (/.f64 (*.f64 1/2 (+.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)))) (pow.f64 v 3)) (fma.f64 -1 (*.f64 v (fma.f64 -1 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (neg.f64 (*.f64 (*.f64 (pow.f64 v 3) (sqrt.f64 -6)) (PI.f64)))))) |
(-.f64 (-.f64 (neg.f64 (fma.f64 v (-.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (PI.f64) (*.f64 (pow.f64 v 3) (sqrt.f64 -6))))) (/.f64 (fma.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (*.f64 -1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) (pow.f64 v 3))) (/.f64 (-.f64 (*.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)) |
(-.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (+.f64 (pow.f64 v 3) (neg.f64 v))) (*.f64 v (/.f64 (PI.f64) (sqrt.f64 -6))))) (+.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) -11/12) v) (*.f64 (/.f64 (PI.f64) (pow.f64 v 3)) (+.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 -6) 5)) (/.f64 -1/12 (sqrt.f64 -6)))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) |
| ✓ | 0.0b | (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))) |
| ✓ | 0.2b | (*.f64 6 (*.f64 v v)) |
| ✓ | 1.0b | (/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))) |
Compiled 86 to 52 computations (39.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | v | @ | inf | (/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))) |
| 2.0ms | v | @ | -inf | (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) |
| 2.0ms | v | @ | 0 | (/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))) |
| 1.0ms | v | @ | 0 | (*.f64 6 (*.f64 v v)) |
| 1.0ms | v | @ | 0 | (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) |
| 1× | batch-egg-rewrite |
| 845× | log-prod_binary64 |
| 329× | prod-diff_binary64 |
| 303× | expm1-udef_binary64 |
| 302× | log1p-udef_binary64 |
| 251× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 78 |
| 1 | 375 | 75 |
| 2 | 4681 | 69 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))) |
(*.f64 6 (*.f64 v v)) |
(sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))) |
(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4/3 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(sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 v (*.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 6) (*.f64 v v))) (cbrt.f64 (pow.f64 (exp.f64 6) (*.f64 v v))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 6) (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6) (*.f64 v v)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6) (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 v (*.f64 v 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (*.f64 v 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 v (*.f64 v 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 216 (pow.f64 v 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 36 (pow.f64 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 6) (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 v (*.f64 v 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 216 (pow.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 v (*.f64 v 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 v (*.f64 v 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 v) (log.f64 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 v) (log.f64 6)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) (cbrt.f64 (fma.f64 (*.f64 v v) -6 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 v v) -6 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (*.f64 v v) -6 2) 1/4) (pow.f64 (fma.f64 (*.f64 v v) -6 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 v v) -6 2) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 v v) -6 2) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 v v) -6 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 4 (*.f64 36 (pow.f64 v 4)))) (sqrt.f64 (fma.f64 v (*.f64 v 6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 8 (*.f64 216 (pow.f64 v 6)))) (sqrt.f64 (+.f64 4 (fma.f64 36 (pow.f64 v 4) (*.f64 12 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 v v) -6 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 v v) -6 2) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 v v) -6 2) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 v v) -6 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 v v) -6 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (*.f64 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v (neg.f64 v) 1)) (*.f64 3 (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v (neg.f64 v) 1)) (*.f64 3 (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v (neg.f64 v) 1)) (*.f64 3 (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v (neg.f64 v) 1)) (*.f64 3 (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v (neg.f64 v) 1)) (*.f64 3 (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (*.f64 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -6 2) (pow.f64 (*.f64 3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v (neg.f64 v) 1)) (*.f64 3 (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (*.f64 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) 3) (pow.f64 (fma.f64 (*.f64 v v) -6 2) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 v v) -6 2) 3/2) (pow.f64 (*.f64 3 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (*.f64 (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) 1)))))) |
| 1× | egg-herbie |
| 516× | associate-+l+_binary64 |
| 464× | associate-+r+_binary64 |
| 443× | associate-/r*_binary64 |
| 399× | associate-*l/_binary64 |
| 380× | associate-*r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 204 | 2088 |
| 1 | 678 | 1998 |
| 2 | 2586 | 1890 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))) |
(+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))) |
(+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/2 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64))))))))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))))) |
(*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))) |
(+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))) |
(+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))) |
(+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))) (pow.f64 v 9))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))))) |
(*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))) |
(+.f64 (*.f64 -4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))) |
(+.f64 (*.f64 -4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (+.f64 (*.f64 -4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))) |
(+.f64 (*.f64 -4/3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))) (pow.f64 v 9))) (+.f64 (*.f64 -4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (+.f64 (*.f64 -4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))))) |
(*.f64 6 (pow.f64 v 2)) |
(*.f64 6 (pow.f64 v 2)) |
(*.f64 6 (pow.f64 v 2)) |
(*.f64 6 (pow.f64 v 2)) |
(*.f64 6 (pow.f64 v 2)) |
(*.f64 6 (pow.f64 v 2)) |
(*.f64 6 (pow.f64 v 2)) |
(*.f64 6 (pow.f64 v 2)) |
(*.f64 6 (pow.f64 v 2)) |
(*.f64 6 (pow.f64 v 2)) |
(*.f64 6 (pow.f64 v 2)) |
(*.f64 6 (pow.f64 v 2)) |
(sqrt.f64 2) |
(+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))) |
(+.f64 (*.f64 -27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (sqrt.f64 2) (+.f64 (*.f64 -9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))))) |
(*.f64 (sqrt.f64 -6) v) |
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -6) v)) (*.f64 (sqrt.f64 -6) v)) |
(-.f64 (+.f64 (/.f64 1 (*.f64 v (sqrt.f64 -6))) (*.f64 (sqrt.f64 -6) v)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 v (sqrt.f64 -6))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (*.f64 (sqrt.f64 -6) v))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) |
(*.f64 -1 (*.f64 v (sqrt.f64 -6))) |
(-.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -6))) (/.f64 1 (*.f64 (sqrt.f64 -6) v))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -6))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (/.f64 1 (*.f64 v (sqrt.f64 -6)))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -6))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))) (+.f64 (/.f64 1 (*.f64 v (sqrt.f64 -6))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))))) |
(*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))) |
(+.f64 (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))) (*.f64 3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))))))) |
(+.f64 (*.f64 3 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))))) (+.f64 (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))) (*.f64 3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64)))))))) |
(+.f64 (*.f64 3 (*.f64 (pow.f64 v 6) (+.f64 (*.f64 -27/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 5))) (*.f64 9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))))) (+.f64 (*.f64 3 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))))) (+.f64 (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))) (*.f64 3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))))))))) |
(*.f64 -3 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))) (*.f64 3 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -6) (PI.f64)) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6))))))) |
(+.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)) (+.f64 (*.f64 -3 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))) (*.f64 3 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -6) (PI.f64)) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))))) |
(+.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)) (+.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3))) (+.f64 (*.f64 -3 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))) (*.f64 3 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -6) (PI.f64)) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6))))))))) |
(*.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))) |
(+.f64 (*.f64 -3 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -6) (PI.f64)) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (*.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))) |
(+.f64 (*.f64 -3 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -6) (PI.f64)) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (+.f64 (*.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))) (*.f64 -3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)))) |
(+.f64 (*.f64 -3 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -6) (PI.f64)) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (+.f64 (*.f64 -3 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3))) (+.f64 (*.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))) (*.f64 -3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v))))) |
| Outputs |
|---|
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))) |
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) |
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 3/4 (sqrt.f64 1/2)) (PI.f64)))))) |
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 3/4 (PI.f64)) (sqrt.f64 1/2)))))) |
(+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))) |
(fma.f64 4/3 (*.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) |
(*.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 3/4 (sqrt.f64 1/2)) (PI.f64))))) (*.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 3/4 (sqrt.f64 1/2)) (PI.f64))))))) |
(*.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 3/4 (PI.f64)) (sqrt.f64 1/2))))) (*.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 9/2 (sqrt.f64 1/2)) (/.f64 (/.f64 9/16 (sqrt.f64 1/2)) 1/2)) (PI.f64)) (/.f64 (/.f64 3/4 (PI.f64)) (sqrt.f64 1/2))))))) |
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(fma.f64 3 (*.f64 v (-.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (pow.f64 v 3) (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) -3))) |
(fma.f64 3 (*.f64 v (-.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (*.f64 -3 (*.f64 (PI.f64) (sqrt.f64 -6))) (pow.f64 v 3))) |
(+.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)) (+.f64 (*.f64 -3 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))) (*.f64 3 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -6) (PI.f64)) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))))) |
(fma.f64 3 (/.f64 (fma.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (/.f64 (PI.f64) (sqrt.f64 -6))) v) (fma.f64 -3 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 3 (*.f64 v (fma.f64 (sqrt.f64 -6) (PI.f64) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 -6)))))))) |
(fma.f64 3 (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 -1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) v) (fma.f64 3 (*.f64 v (-.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (pow.f64 v 3) (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) -3)))) |
(fma.f64 3 (/.f64 (*.f64 11/12 (/.f64 (PI.f64) (sqrt.f64 -6))) v) (fma.f64 3 (*.f64 v (-.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (*.f64 -3 (*.f64 (PI.f64) (sqrt.f64 -6))) (pow.f64 v 3)))) |
(+.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)) (+.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3))) (+.f64 (*.f64 -3 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))) (*.f64 3 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -6) (PI.f64)) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6))))))))) |
(fma.f64 3 (/.f64 (fma.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (/.f64 (PI.f64) (sqrt.f64 -6))) v) (fma.f64 3 (/.f64 (*.f64 -1/2 (+.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3)) (fma.f64 -3 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 3 (*.f64 v (fma.f64 (sqrt.f64 -6) (PI.f64) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 -6))))))))) |
(fma.f64 3 (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 -1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) v) (fma.f64 3 (/.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (*.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) (pow.f64 v 3)) (fma.f64 3 (*.f64 v (-.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (pow.f64 v 3) (*.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) -3))))) |
(fma.f64 3 (/.f64 (*.f64 11/12 (/.f64 (PI.f64) (sqrt.f64 -6))) v) (fma.f64 3 (/.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (*.f64 (/.f64 1/12 (sqrt.f64 -6)) (PI.f64))) (pow.f64 v 3)) (fma.f64 3 (*.f64 v (-.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (*.f64 (*.f64 -3 (*.f64 (PI.f64) (sqrt.f64 -6))) (pow.f64 v 3))))) |
(*.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))) |
(*.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6)))) |
(+.f64 (*.f64 -3 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -6) (PI.f64)) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (*.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))) |
(fma.f64 -3 (*.f64 v (fma.f64 (sqrt.f64 -6) (PI.f64) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 -6))))) (*.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6))))) |
(fma.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 -3 (*.f64 v (-.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))))) |
(fma.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (-.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 v -3))) |
(+.f64 (*.f64 -3 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -6) (PI.f64)) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (+.f64 (*.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))) (*.f64 -3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)))) |
(fma.f64 -3 (*.f64 v (fma.f64 (sqrt.f64 -6) (PI.f64) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 -6))))) (fma.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 -3 (/.f64 (fma.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (/.f64 (PI.f64) (sqrt.f64 -6))) v)))) |
(fma.f64 -3 (*.f64 v (-.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (fma.f64 -3 (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 -1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) v) (*.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6)))))) |
(fma.f64 -3 (*.f64 v (-.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (fma.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 (/.f64 -3 v) (*.f64 11/12 (/.f64 (PI.f64) (sqrt.f64 -6)))))) |
(+.f64 (*.f64 -3 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -6) (PI.f64)) (*.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (+.f64 (*.f64 -3 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5))) (*.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3))) (+.f64 (*.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))) (*.f64 -3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v))))) |
(fma.f64 -3 (*.f64 v (fma.f64 (sqrt.f64 -6) (PI.f64) (neg.f64 (/.f64 (PI.f64) (sqrt.f64 -6))))) (fma.f64 -3 (/.f64 (*.f64 -1/2 (+.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3)) (fma.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 -3 (/.f64 (fma.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)) (/.f64 (PI.f64) (sqrt.f64 -6))) v))))) |
(fma.f64 -3 (*.f64 v (-.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (fma.f64 -3 (/.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (*.f64 1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) (pow.f64 v 3)) (fma.f64 -3 (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) (*.f64 -1/12 (/.f64 (PI.f64) (sqrt.f64 -6)))) v) (*.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6))))))) |
(+.f64 (*.f64 -3 (+.f64 (+.f64 (*.f64 v (-.f64 (*.f64 (PI.f64) (sqrt.f64 -6)) (/.f64 (PI.f64) (sqrt.f64 -6)))) (/.f64 (fma.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5)) (*.f64 (/.f64 1/12 (sqrt.f64 -6)) (PI.f64))) (pow.f64 v 3))) (/.f64 (*.f64 11/12 (/.f64 (PI.f64) (sqrt.f64 -6))) v))) (*.f64 3 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -6))))) |
Compiled 9310 to 7228 computations (22.4% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 302 | 4 | 306 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 303 | 5 | 308 |
| Status | Error | Program |
|---|---|---|
| ✓ | 1.0b | (/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))) |
| ▶ | 0.0b | (*.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 1 (fma.f64 v v -1))) |
| ▶ | 1.5b | (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
| ▶ | 0.6b | (/.f64 -4/3 (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) |
| ▶ | 1.5b | (/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 2))) |
Compiled 70 to 59 computations (15.7% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (/.f64 (sqrt.f64 1/2) (PI.f64)) |
Compiled 16 to 14 computations (12.5% saved)
| 1× | batch-egg-rewrite |
| 503× | pow1_binary64 |
| 486× | add-sqr-sqrt_binary64 |
| 469× | add-log-exp_binary64 |
| 469× | log1p-expm1-u_binary64 |
| 469× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 105 | 7 |
| 2 | 1261 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (cbrt.f64 (/.f64 1/2 (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/2 1/4) (*.f64 (pow.f64 1/2 1/4) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (sqrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) 1) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 1/2 1/4) 1) (/.f64 (pow.f64 1/2 1/4) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 1/2) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 1/2 1/4) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (pow.f64 1/2 1/4) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/2 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) |
| ✓ | 0.0b | (*.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 1 (fma.f64 v v -1))) |
| 0.0b | (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) | |
| ✓ | 1.0b | (/.f64 -4/3 (PI.f64)) |
Compiled 66 to 47 computations (28.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | v | @ | 0 | (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) |
| 1.0ms | v | @ | inf | (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) |
| 1.0ms | v | @ | 0 | (*.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 1 (fma.f64 v v -1))) |
| 1.0ms | v | @ | -inf | (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) |
| 1.0ms | v | @ | inf | (*.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 1 (fma.f64 v v -1))) |
| 1× | batch-egg-rewrite |
| 751× | log-prod_binary64 |
| 401× | pow2_binary64 |
| 283× | pow1/3_binary64 |
| 276× | expm1-udef_binary64 |
| 276× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 46 |
| 1 | 338 | 46 |
| 2 | 4285 | 46 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -4/3 (PI.f64)) |
(*.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 1 (fma.f64 v v -1))) |
(/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) |
| Outputs |
|---|
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expm1.f64 (log1p.f64 (/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) 1)))))) |
| 1× | egg-herbie |
| 670× | fma-def_binary64 |
| 519× | associate-/r*_binary64 |
| 452× | times-frac_binary64 |
| 418× | associate-*r*_binary64 |
| 416× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 151 | 1628 |
| 1 | 507 | 1558 |
| 2 | 1855 | 1459 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))) |
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))) |
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 6) (-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))) |
(*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))) |
(+.f64 (*.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))) |
(+.f64 (*.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (+.f64 (*.f64 -4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))) |
(+.f64 (*.f64 -4/3 (/.f64 (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 9))) (+.f64 (*.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (+.f64 (*.f64 -4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))))) |
(*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))) |
(+.f64 (*.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))) |
(+.f64 (*.f64 4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))) |
(+.f64 (*.f64 4/3 (/.f64 (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 9))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))))) |
(*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 -1 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64))))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 -2/3 (/.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 -1 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64)))))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 -2/3 (/.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 -2/3 (/.f64 (*.f64 (pow.f64 v 6) (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (*.f64 (sqrt.f64 1/2) (PI.f64))))))) |
(*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))) (*.f64 1/27 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) |
(+.f64 (*.f64 1/27 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))) (*.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))) |
(+.f64 (*.f64 1/27 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))) (+.f64 (*.f64 2/3 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (*.f64 (pow.f64 v 7) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))))) |
(*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))) |
(-.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))) (*.f64 1/27 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) |
(-.f64 (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))) (*.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (*.f64 1/27 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) |
(-.f64 (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))) (+.f64 (*.f64 -2/3 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (*.f64 (pow.f64 v 7) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))) (*.f64 1/27 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) |
| Outputs |
|---|
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))) |
(fma.f64 -4/3 (*.f64 (*.f64 v v) (-.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))) |
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (*.f64 v v) (*.f64 (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))) -4/3))) |
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (-.f64 (/.f64 (/.f64 -3/4 (sqrt.f64 1/2)) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 -4/3 (*.f64 v v)))) |
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))) |
(fma.f64 -4/3 (*.f64 (*.f64 v v) (-.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 -4/3 (*.f64 (pow.f64 v 4) (-.f64 (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))) |
(fma.f64 -4/3 (*.f64 (*.f64 v v) (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (fma.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 -4/3 (pow.f64 v 4))))) |
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 -4/3 (fma.f64 v (*.f64 v (-.f64 (/.f64 (/.f64 -3/4 (sqrt.f64 1/2)) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 (pow.f64 v 4) (fma.f64 (/.f64 -1/2 (sqrt.f64 1/2)) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (PI.f64)) (-.f64 (/.f64 (/.f64 -3/4 (sqrt.f64 1/2)) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))))))) |
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 6) (-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))) |
(fma.f64 -4/3 (*.f64 (pow.f64 v 6) (-.f64 (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 -1/2 (+.f64 (/.f64 (+.f64 27/2 (*.f64 -3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 -4/3 (*.f64 (*.f64 v v) (-.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 -4/3 (*.f64 (pow.f64 v 4) (-.f64 (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))) |
(fma.f64 -4/3 (*.f64 (pow.f64 v 6) (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (fma.f64 -1/2 (+.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (+.f64 27/2 (*.f64 (-.f64 9 (/.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2) 1/2)) -3/4)) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (fma.f64 -4/3 (*.f64 (*.f64 v v) (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (fma.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 -3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 -4/3 (pow.f64 v 4)))))) |
(fma.f64 -4/3 (fma.f64 (pow.f64 v 6) (+.f64 (-.f64 (/.f64 (/.f64 -3/4 (sqrt.f64 1/2)) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 -1/2 (sqrt.f64 1/2)) (+.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (PI.f64)) (/.f64 135/16 (PI.f64))))) (*.f64 v (*.f64 v (-.f64 (/.f64 (/.f64 -3/4 (sqrt.f64 1/2)) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (fma.f64 (/.f64 -1/2 (sqrt.f64 1/2)) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (PI.f64)) (-.f64 (/.f64 (/.f64 -3/4 (sqrt.f64 1/2)) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 -4/3 (pow.f64 v 4))))) |
(*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))) |
(*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))) |
(*.f64 (/.f64 -4/3 (PI.f64)) (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3))) |
(*.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -4/3 (pow.f64 v 3))) |
(+.f64 (*.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))) |
(*.f64 -4/3 (+.f64 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))) |
(*.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)))) |
(fma.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (fma.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 1/27 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5))) |
(+.f64 (*.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (+.f64 (*.f64 -4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))) |
(fma.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)) (*.f64 -4/3 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6))))) (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 7)) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))) |
(*.f64 -4/3 (+.f64 (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)) (+.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 7))))) |
(fma.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5))) (/.f64 (fma.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) -1/108) (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (/.f64 1/27 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 7))) |
(+.f64 (*.f64 -4/3 (/.f64 (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 9))) (+.f64 (*.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (+.f64 (*.f64 -4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))))) |
(fma.f64 -4/3 (/.f64 (-.f64 (fma.f64 -1/2 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (*.f64 (PI.f64) (sqrt.f64 -1/6))) (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))) (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 9)) (fma.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)) (*.f64 -4/3 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6))))) (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 7)) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))))) |
(fma.f64 -4/3 (/.f64 (+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) -1/6) 1/162) (*.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 9)) (*.f64 -4/3 (+.f64 (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)) (+.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 7)))))) |
(fma.f64 -4/3 (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) -1/108) (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 7)) (+.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)))) (/.f64 (fma.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 (/.f64 -1/2 (sqrt.f64 -1/6)) (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (PI.f64)) (/.f64 (+.f64 1/162 (*.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (PI.f64))))) (/.f64 1/27 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 9))) |
(*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))) |
(*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))) |
(*.f64 (/.f64 4/3 (PI.f64)) (/.f64 (sqrt.f64 -1/6) (pow.f64 v 3))) |
(*.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 4/3 (pow.f64 v 3))) |
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(-.f64 (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))) (*.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (*.f64 1/27 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) |
(-.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) (*.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (*.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5))))) (/.f64 1/27 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6))))) |
(fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) (fma.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (/.f64 -1/27 (*.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))))) |
(+.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) (/.f64 (/.f64 -1/27 (*.f64 (PI.f64) (sqrt.f64 -1/6))) (pow.f64 v 3))) (/.f64 (fma.f64 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) -2/3 -1/81) (*.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 5))))) |
(-.f64 (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))) (+.f64 (*.f64 -2/3 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (*.f64 (pow.f64 v 7) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))) (*.f64 1/27 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) |
(-.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) (*.f64 -2/3 (+.f64 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (*.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 5)))))) (/.f64 1/27 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6))))) |
(fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) (fma.f64 -2/3 (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) -1/6) 1/162) (*.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 7))))) (/.f64 -1/27 (*.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3)))))) |
(+.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) (/.f64 (/.f64 -1/27 (*.f64 (PI.f64) (sqrt.f64 -1/6))) (pow.f64 v 3))) (*.f64 (/.f64 -2/3 (*.f64 (PI.f64) (sqrt.f64 -1/6))) (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 v 5)) (/.f64 (+.f64 1/162 (*.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (pow.f64 v 7))))) |
Compiled 20 to 15 computations (25% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) |
| ✓ | 0.0b | (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 2)) |
| ✓ | 1.0b | (/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 2))) |
Compiled 55 to 36 computations (34.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | v | @ | inf | (/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 2))) |
| 1.0ms | v | @ | 0 | (/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 2))) |
| 1.0ms | v | @ | 0 | (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 2)) |
| 1.0ms | v | @ | inf | (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 2)) |
| 1.0ms | v | @ | -inf | (/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 2))) |
| 1× | batch-egg-rewrite |
| 648× | log-prod_binary64 |
| 344× | pow2_binary64 |
| 239× | pow1/3_binary64 |
| 237× | pow-unpow_binary64 |
| 235× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 55 |
| 1 | 297 | 52 |
| 2 | 3584 | 52 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 2))) |
(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 2)) |
(*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (pow.f64 2 -1/2) (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2) 2)) (cbrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))) (sqrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 1 (*.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) (neg.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 2))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 3) (pow.f64 2 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 2 3/2) (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 3) (pow.f64 2 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 2 3/2) (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 2))))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (PI.f64)) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (PI.f64)) (*.f64 (*.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (-.f64 1 (*.f64 v v)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (-.f64 1 (*.f64 v v))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 6)) (*.f64 3 (PI.f64))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) (*.f64 3 (PI.f64))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (pow.f64 v 4))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 3 (PI.f64)) 3) (pow.f64 (-.f64 1 (*.f64 v v)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 3) (pow.f64 (*.f64 3 (PI.f64)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 3) (PI.f64)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 3 (PI.f64)) 3) (pow.f64 (-.f64 1 (*.f64 v v)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 3) (pow.f64 (*.f64 3 (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (PI.f64) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (PI.f64) (*.f64 (*.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) 3 (*.f64 (*.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) 3 (*.f64 (*.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (PI.f64)) 1 (*.f64 (*.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (PI.f64)) 1 (*.f64 (*.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 (PI.f64)) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 (PI.f64)) (*.f64 (*.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 3 (PI.f64))) (cbrt.f64 (*.f64 9 (pow.f64 (PI.f64) 2))) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 3 (PI.f64))) (cbrt.f64 (*.f64 9 (pow.f64 (PI.f64) 2))) (*.f64 (*.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 9 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 3 (PI.f64))) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 9 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 3 (PI.f64))) (*.f64 (*.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 3) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 3) (*.f64 (*.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 (PI.f64))) (sqrt.f64 (*.f64 3 (PI.f64))) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 (PI.f64))) (sqrt.f64 (*.f64 3 (PI.f64))) (*.f64 (*.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 3) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 3) (*.f64 (*.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (*.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (*.f64 3 (PI.f64)) (*.f64 v (neg.f64 v)))))))) |
| 1× | egg-herbie |
| 768× | times-frac_binary64 |
| 571× | associate-/l*_binary64 |
| 429× | associate-*l/_binary64 |
| 298× | cancel-sign-sub-inv_binary64 |
| 294× | associate-*r/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 943 |
| 1 | 202 | 908 |
| 2 | 645 | 800 |
| 3 | 2255 | 744 |
| 4 | 7484 | 744 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) |
(+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 4/3 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (PI.f64))))) |
(+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 4/3 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (PI.f64)))))) |
(+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 4/3 (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) (PI.f64))))))) |
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64))))))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))))))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 8) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64))))))))) |
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64))))))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))))))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 8) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64))))))))) |
(*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))) |
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64)))) |
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64)))) |
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64)))) |
(*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) |
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64)))) |
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64)))) |
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64)))) |
(*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) |
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64)))) |
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64)))) |
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64)))) |
(*.f64 3 (PI.f64)) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
| Outputs |
|---|
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) |
(+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 4/3 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (PI.f64))))) |
(+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) (*.f64 4/3 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (PI.f64))))) |
(fma.f64 4/3 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (PI.f64))) (/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))) |
(fma.f64 4/3 (*.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (PI.f64))) (/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))) |
(*.f64 4/3 (fma.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (PI.f64)) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 2)))) |
(+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 4/3 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (PI.f64)))))) |
(+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) (*.f64 4/3 (+.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (PI.f64))) (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (PI.f64)))))) |
(fma.f64 4/3 (+.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (PI.f64))) (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (PI.f64)))) (/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64)))) |
(+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) (*.f64 (/.f64 4/3 (sqrt.f64 2)) (+.f64 (/.f64 v (/.f64 (PI.f64) v)) (/.f64 (pow.f64 v 4) (PI.f64))))) |
(+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) (*.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (*.f64 v v) (pow.f64 v 4)))) |
(+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 4/3 (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) (PI.f64))))))) |
(+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) (fma.f64 4/3 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (PI.f64))) (*.f64 4/3 (+.f64 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (PI.f64))) (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) (PI.f64))))))) |
(*.f64 4/3 (+.f64 (+.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (PI.f64)) (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (PI.f64)))) (+.f64 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (PI.f64))) (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) (PI.f64)))))) |
(fma.f64 4/3 (fma.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (PI.f64)) (/.f64 1 (*.f64 (sqrt.f64 2) (PI.f64)))) (*.f64 (/.f64 4/3 (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 v 4) (PI.f64)) (/.f64 (pow.f64 v 6) (PI.f64))))) |
(fma.f64 4/3 (fma.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (PI.f64)) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 2))) (*.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (pow.f64 v 4) (pow.f64 v 6)))) |
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) |
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v)))) |
(/.f64 -4/3 (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) (*.f64 v v))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64))))))) |
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 4)))) (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v)))))) |
(-.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (PI.f64))) |
(-.f64 (/.f64 -4/3 (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) (*.f64 v v))) (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (sqrt.f64 2) (pow.f64 v 4)))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 2)) (*.f64 v v)) (-.f64 -4/3 (/.f64 4/3 (*.f64 v v)))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))))))) |
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 4)))) (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 6))))))) |
(-.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 4)))) (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 6)))))) |
(+.f64 (-.f64 (/.f64 -4/3 (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) (*.f64 v v))) (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (sqrt.f64 2) (pow.f64 v 4)))) (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) (pow.f64 v 6))))) |
(+.f64 (*.f64 (/.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 2)) (*.f64 v v)) (-.f64 -4/3 (/.f64 4/3 (*.f64 v v)))) (/.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 2) (PI.f64))) (pow.f64 v 6))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 8) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64))))))))) |
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 4)))) (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 6)))) (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 8)))))))) |
(-.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 4)))) (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 6)))) (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 8))))))) |
(+.f64 (/.f64 (/.f64 -4/3 (sqrt.f64 2)) (*.f64 (PI.f64) (pow.f64 v 4))) (-.f64 (-.f64 (/.f64 -4/3 (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) (*.f64 v v))) (/.f64 4/3 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) (pow.f64 v 6))))) (/.f64 4/3 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) (pow.f64 v 8)))))) |
(-.f64 (*.f64 (/.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 2)) (*.f64 v v)) (-.f64 -4/3 (/.f64 4/3 (*.f64 v v)))) (*.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 2)) (+.f64 (/.f64 4/3 (pow.f64 v 6)) (/.f64 4/3 (pow.f64 v 8))))) |
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) |
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v)))) |
(/.f64 -4/3 (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) (*.f64 v v))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64))))))) |
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 4)))) (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v)))))) |
(-.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (PI.f64))) |
(-.f64 (/.f64 -4/3 (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) (*.f64 v v))) (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (sqrt.f64 2) (pow.f64 v 4)))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 2)) (*.f64 v v)) (-.f64 -4/3 (/.f64 4/3 (*.f64 v v)))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))))))) |
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 4)))) (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 6))))))) |
(-.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 4)))) (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 6)))))) |
(+.f64 (-.f64 (/.f64 -4/3 (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) (*.f64 v v))) (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (sqrt.f64 2) (pow.f64 v 4)))) (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) (pow.f64 v 6))))) |
(+.f64 (*.f64 (/.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 2)) (*.f64 v v)) (-.f64 -4/3 (/.f64 4/3 (*.f64 v v)))) (/.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 2) (PI.f64))) (pow.f64 v 6))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 8) (PI.f64))))) (*.f64 4/3 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64))))))))) |
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 4)))) (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 6)))) (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 8)))))))) |
(-.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 4)))) (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 6)))) (+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 4/3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (pow.f64 v 8))))))) |
(+.f64 (/.f64 (/.f64 -4/3 (sqrt.f64 2)) (*.f64 (PI.f64) (pow.f64 v 4))) (-.f64 (-.f64 (/.f64 -4/3 (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) (*.f64 v v))) (/.f64 4/3 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) (pow.f64 v 6))))) (/.f64 4/3 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) (pow.f64 v 8)))))) |
(-.f64 (*.f64 (/.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 2)) (*.f64 v v)) (-.f64 -4/3 (/.f64 4/3 (*.f64 v v)))) (*.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 2)) (+.f64 (/.f64 4/3 (pow.f64 v 6)) (/.f64 4/3 (pow.f64 v 8))))) |
(*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))) |
(*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) 3)) |
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64)))) |
(fma.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3)) |
(fma.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (PI.f64) -3)))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3))) |
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64)))) |
(fma.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3)) |
(fma.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (PI.f64) -3)))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3))) |
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64)))) |
(fma.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3)) |
(fma.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (PI.f64) -3)))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3))) |
(*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) |
(*.f64 (*.f64 -3 (sqrt.f64 2)) (*.f64 (PI.f64) (*.f64 v v))) |
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (PI.f64) -3))) |
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64)))) |
(fma.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3)) |
(fma.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (PI.f64) -3)))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3))) |
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64)))) |
(fma.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3)) |
(fma.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (PI.f64) -3)))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3))) |
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64)))) |
(fma.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3)) |
(fma.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (PI.f64) -3)))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3))) |
(*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) |
(*.f64 (*.f64 -3 (sqrt.f64 2)) (*.f64 (PI.f64) (*.f64 v v))) |
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (PI.f64) -3))) |
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64)))) |
(fma.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3)) |
(fma.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (PI.f64) -3)))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3))) |
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64)))) |
(fma.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3)) |
(fma.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (PI.f64) -3)))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3))) |
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64)))) |
(fma.f64 -3 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3)) |
(fma.f64 (*.f64 (sqrt.f64 2) (PI.f64)) 3 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (PI.f64) -3)))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3))) |
(*.f64 3 (PI.f64)) |
(*.f64 (PI.f64) 3) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3)) |
(*.f64 (PI.f64) (+.f64 3 (*.f64 (*.f64 v v) -3))) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3)) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3)) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3)) |
(*.f64 (PI.f64) (+.f64 3 (*.f64 (*.f64 v v) -3))) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3)) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3)) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3)) |
(*.f64 (PI.f64) (+.f64 3 (*.f64 (*.f64 v v) -3))) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3)) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3)) |
(*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) |
(*.f64 (*.f64 (PI.f64) (*.f64 v v)) -3) |
(*.f64 (*.f64 v v) (*.f64 (PI.f64) -3)) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3)) |
(*.f64 (PI.f64) (+.f64 3 (*.f64 (*.f64 v v) -3))) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3)) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3)) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3)) |
(*.f64 (PI.f64) (+.f64 3 (*.f64 (*.f64 v v) -3))) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3)) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3)) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3)) |
(*.f64 (PI.f64) (+.f64 3 (*.f64 (*.f64 v v) -3))) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3)) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3)) |
(*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) |
(*.f64 (*.f64 (PI.f64) (*.f64 v v)) -3) |
(*.f64 (*.f64 v v) (*.f64 (PI.f64) -3)) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3)) |
(*.f64 (PI.f64) (+.f64 3 (*.f64 (*.f64 v v) -3))) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3)) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3)) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3)) |
(*.f64 (PI.f64) (+.f64 3 (*.f64 (*.f64 v v) -3))) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3)) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3)) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3)) |
(*.f64 (PI.f64) (+.f64 3 (*.f64 (*.f64 v v) -3))) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v -3) v 3)) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3)) |
Compiled 9296 to 7210 computations (22.4% saved)
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 393 | 4 | 397 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 3 | 4 |
| Total | 395 | 7 | 402 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.6b | (/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) |
| ▶ | 0.0b | (/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) |
| ✓ | 1.0b | (/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))) |
| ✓ | 0.0b | (*.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 1 (fma.f64 v v -1))) |
| ✓ | 1.5b | (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
| ▶ | 0.6b | (*.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (pow.f64 2 -1/2)) |
| ▶ | 1.5b | (*.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))) 4) |
Compiled 101 to 84 computations (16.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) |
| ✓ | 1.0b | (*.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (pow.f64 2 -1/2)) |
| ✓ | 1.0b | (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) |
Compiled 47 to 29 computations (38.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | v | @ | inf | (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) |
| 1.0ms | v | @ | 0 | (*.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (pow.f64 2 -1/2)) |
| 1.0ms | v | @ | inf | (*.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (pow.f64 2 -1/2)) |
| 1.0ms | v | @ | 0 | (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) |
| 1.0ms | v | @ | -inf | (*.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (pow.f64 2 -1/2)) |
| 1× | batch-egg-rewrite |
| 578× | log-prod_binary64 |
| 341× | pow-prod-down_binary64 |
| 334× | pow2_binary64 |
| 231× | pow1/3_binary64 |
| 230× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 45 |
| 1 | 283 | 44 |
| 2 | 3428 | 44 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) |
(*.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (pow.f64 2 -1/2)) |
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (/.f64 1 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 2) (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4/3 (/.f64 1 (*.f64 (PI.f64) (neg.f64 (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (pow.f64 v 4))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) (/.f64 4/3 (-.f64 1 (*.f64 v v)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (PI.f64) (/.f64 4/3 (-.f64 1 (*.f64 v v)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4/3 (/.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) (*.f64 4/3 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 1/2) (/.f64 (PI.f64) (/.f64 4/3 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4/3 (sqrt.f64 1/2)) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4/3 (sqrt.f64 1/2))) (*.f64 (PI.f64) (neg.f64 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64)) (-.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) 1) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (-.f64 1 (*.f64 v v))) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2)) (cbrt.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4/3 (sqrt.f64 1/2)) (*.f64 (PI.f64) (neg.f64 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2)) (-.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) -4/3) (*.f64 (PI.f64) (neg.f64 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64))) (-.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 2) 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) (*.f64 4/3 (sqrt.f64 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 1/2))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (PI.f64) (*.f64 (*.f64 v (neg.f64 v)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 1 (*.f64 v v)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 1 (*.f64 v v))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64)) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64)) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 4))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) 1 (*.f64 (*.f64 v (neg.f64 v)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) 1 (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (PI.f64) (*.f64 (*.f64 v (neg.f64 v)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (PI.f64) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (*.f64 v (neg.f64 v)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)) (*.f64 (*.f64 v (neg.f64 v)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (*.f64 (*.f64 v (neg.f64 v)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (*.f64 v (neg.f64 v)))))))) |
| 1× | egg-herbie |
| 724× | associate-/l*_binary64 |
| 422× | distribute-lft-out_binary64 |
| 384× | associate-/l/_binary64 |
| 351× | associate-*l/_binary64 |
| 316× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 928 |
| 1 | 260 | 900 |
| 2 | 784 | 825 |
| 3 | 2591 | 770 |
| 4 | 7526 | 770 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 4/3 (PI.f64)) |
(+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (*.f64 4/3 (/.f64 1 (PI.f64)))) |
(+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64))) (*.f64 4/3 (/.f64 1 (PI.f64))))) |
(+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 6) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64))) (*.f64 4/3 (/.f64 1 (PI.f64)))))) |
(/.f64 -4/3 (*.f64 (pow.f64 v 2) (PI.f64))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64)))))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 6) (PI.f64))))))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 8) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 6) (PI.f64)))))))) |
(/.f64 -4/3 (*.f64 (pow.f64 v 2) (PI.f64))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64)))))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 6) (PI.f64))))))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 8) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 6) (PI.f64)))))))) |
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64)))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (PI.f64))))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 6)) (PI.f64))) (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (PI.f64)))))) |
(*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64))))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 8) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64))))))) |
(*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64))))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 8) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64))))))) |
(PI.f64) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64)) |
(*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64)) |
(*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64)) |
| Outputs |
|---|
(/.f64 4/3 (PI.f64)) |
(+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (*.f64 4/3 (/.f64 1 (PI.f64)))) |
(fma.f64 4/3 (/.f64 (*.f64 v v) (PI.f64)) (/.f64 4/3 (PI.f64))) |
(fma.f64 4/3 (/.f64 v (/.f64 (PI.f64) v)) (/.f64 4/3 (PI.f64))) |
(fma.f64 4/3 (*.f64 v (/.f64 v (PI.f64))) (/.f64 4/3 (PI.f64))) |
(+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64))) (*.f64 4/3 (/.f64 1 (PI.f64))))) |
(fma.f64 4/3 (/.f64 (*.f64 v v) (PI.f64)) (fma.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64)) (/.f64 4/3 (PI.f64)))) |
(fma.f64 4/3 (/.f64 v (/.f64 (PI.f64) v)) (fma.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64)) (/.f64 4/3 (PI.f64)))) |
(fma.f64 4/3 (+.f64 (/.f64 v (/.f64 (PI.f64) v)) (/.f64 (pow.f64 v 4) (PI.f64))) (/.f64 4/3 (PI.f64))) |
(+.f64 (/.f64 4/3 (PI.f64)) (*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (*.f64 v v) (pow.f64 v 4)))) |
(+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 6) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64))) (*.f64 4/3 (/.f64 1 (PI.f64)))))) |
(fma.f64 4/3 (/.f64 (pow.f64 v 6) (PI.f64)) (fma.f64 4/3 (/.f64 (*.f64 v v) (PI.f64)) (fma.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64)) (/.f64 4/3 (PI.f64))))) |
(fma.f64 4/3 (/.f64 (pow.f64 v 6) (PI.f64)) (fma.f64 4/3 (/.f64 v (/.f64 (PI.f64) v)) (fma.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64)) (/.f64 4/3 (PI.f64))))) |
(fma.f64 4/3 (/.f64 (pow.f64 v 6) (PI.f64)) (fma.f64 4/3 (+.f64 (/.f64 v (/.f64 (PI.f64) v)) (/.f64 (pow.f64 v 4) (PI.f64))) (/.f64 4/3 (PI.f64)))) |
(+.f64 (/.f64 4/3 (PI.f64)) (fma.f64 4/3 (/.f64 (pow.f64 v 6) (PI.f64)) (*.f64 (/.f64 4/3 (PI.f64)) (+.f64 (*.f64 v v) (pow.f64 v 4))))) |
(/.f64 -4/3 (*.f64 (pow.f64 v 2) (PI.f64))) |
(/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v))) |
(/.f64 (/.f64 -4/3 (PI.f64)) (*.f64 v v)) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64)))))) |
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (*.f64 (PI.f64) (*.f64 v v))))) |
(+.f64 (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v)))) |
(*.f64 (/.f64 1 (*.f64 (PI.f64) (*.f64 v v))) (-.f64 -4/3 (/.f64 4/3 (*.f64 v v)))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 6) (PI.f64))))))) |
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (*.f64 v v))) (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6)))))) |
(-.f64 (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v))) (+.f64 (/.f64 (/.f64 4/3 (PI.f64)) (pow.f64 v 4)) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6))))) |
(+.f64 (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (-.f64 (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6))))) |
(-.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (pow.f64 v 6)) (*.f64 (/.f64 1 (*.f64 (PI.f64) (*.f64 v v))) (-.f64 (/.f64 4/3 (*.f64 v v)) -4/3))) |
(-.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (pow.f64 v 6)) (*.f64 (/.f64 1 (*.f64 (PI.f64) (*.f64 v v))) (+.f64 4/3 (/.f64 4/3 (*.f64 v v))))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 8) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 6) (PI.f64)))))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (*.f64 v v))) (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6))))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 8))))) |
(+.f64 (-.f64 (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v))) (+.f64 (/.f64 (/.f64 4/3 (PI.f64)) (pow.f64 v 4)) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6))))) (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 8)))) |
(+.f64 (+.f64 (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v)))) (-.f64 (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 6))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 8))))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (PI.f64) (*.f64 v v))) (-.f64 -4/3 (/.f64 4/3 (*.f64 v v)))) (*.f64 (/.f64 1 (*.f64 (PI.f64) (pow.f64 v 6))) (-.f64 -4/3 (/.f64 4/3 (*.f64 v v))))) |
(/.f64 -4/3 (*.f64 (pow.f64 v 2) (PI.f64))) |
(/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v))) |
(/.f64 (/.f64 -4/3 (PI.f64)) (*.f64 v v)) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64)))))) |
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (*.f64 (PI.f64) (*.f64 v v))))) |
(+.f64 (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v)))) |
(*.f64 (/.f64 1 (*.f64 (PI.f64) (*.f64 v v))) (-.f64 -4/3 (/.f64 4/3 (*.f64 v v)))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 6) (PI.f64))))))) |
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (*.f64 v v))) (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6)))))) |
(-.f64 (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v))) (+.f64 (/.f64 (/.f64 4/3 (PI.f64)) (pow.f64 v 4)) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6))))) |
(+.f64 (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (-.f64 (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6))))) |
(-.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (pow.f64 v 6)) (*.f64 (/.f64 1 (*.f64 (PI.f64) (*.f64 v v))) (-.f64 (/.f64 4/3 (*.f64 v v)) -4/3))) |
(-.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (pow.f64 v 6)) (*.f64 (/.f64 1 (*.f64 (PI.f64) (*.f64 v v))) (+.f64 4/3 (/.f64 4/3 (*.f64 v v))))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 8) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 6) (PI.f64)))))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (*.f64 v v))) (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6))))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 8))))) |
(+.f64 (-.f64 (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v))) (+.f64 (/.f64 (/.f64 4/3 (PI.f64)) (pow.f64 v 4)) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6))))) (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 8)))) |
(+.f64 (+.f64 (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v)))) (-.f64 (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 6))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 8))))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 (PI.f64) (*.f64 v v))) (-.f64 -4/3 (/.f64 4/3 (*.f64 v v)))) (*.f64 (/.f64 1 (*.f64 (PI.f64) (pow.f64 v 6))) (-.f64 -4/3 (/.f64 4/3 (*.f64 v v))))) |
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2)) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64)))) |
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (/.f64 (PI.f64) (*.f64 v v))))) |
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 v v)))) |
(*.f64 4/3 (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 v v) (/.f64 (sqrt.f64 1/2) (PI.f64)))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 4/3 (*.f64 4/3 (*.f64 v v)))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (PI.f64))))) |
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (/.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (/.f64 (PI.f64) (pow.f64 v 4)))))) |
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 v v)) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 4))))) |
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 v v) (pow.f64 v 4))))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 6)) (PI.f64))) (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (PI.f64)))))) |
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (/.f64 (PI.f64) (*.f64 v v))) (*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (/.f64 (PI.f64) (pow.f64 v 6))) (/.f64 (sqrt.f64 1/2) (/.f64 (PI.f64) (pow.f64 v 4))))))) |
(*.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 v v))) (+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 4)) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 6))))) |
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (pow.f64 v 4) (pow.f64 v 6)))))) |
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (pow.f64 v 4) (+.f64 (*.f64 v v) (pow.f64 v 6)))))) |
(*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) |
(*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v)))) |
(/.f64 -4/3 (/.f64 (*.f64 (PI.f64) (*.f64 v v)) (sqrt.f64 1/2))) |
(/.f64 -4/3 (*.f64 (/.f64 v (/.f64 (sqrt.f64 1/2) v)) (PI.f64))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64))))) |
(*.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))))) |
(*.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 4)))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -4/3 (*.f64 v v)) (/.f64 -4/3 (pow.f64 v 4)))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))))) |
(fma.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (*.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v)))))) |
(*.f64 -4/3 (+.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 4)) (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6)))))) |
(fma.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -4/3 (*.f64 v v)) (/.f64 -4/3 (pow.f64 v 6))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -4/3 (*.f64 v v)) (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (pow.f64 v 6))))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 8) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64))))))) |
(fma.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (fma.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 8))) (*.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))))))) |
(fma.f64 -4/3 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 4)) (*.f64 -4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6)))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 8)))))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -4/3 (*.f64 v v)) (/.f64 -4/3 (pow.f64 v 4)))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -4/3 (pow.f64 v 6)) (/.f64 -4/3 (pow.f64 v 8))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (+.f64 (/.f64 -4/3 (*.f64 v v)) (/.f64 -4/3 (pow.f64 v 4))) (+.f64 (/.f64 -4/3 (pow.f64 v 6)) (/.f64 -4/3 (pow.f64 v 8))))) |
(*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) |
(*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v)))) |
(/.f64 -4/3 (/.f64 (*.f64 (PI.f64) (*.f64 v v)) (sqrt.f64 1/2))) |
(/.f64 -4/3 (*.f64 (/.f64 v (/.f64 (sqrt.f64 1/2) v)) (PI.f64))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64))))) |
(*.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))))) |
(*.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 4)))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -4/3 (*.f64 v v)) (/.f64 -4/3 (pow.f64 v 4)))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))))) |
(fma.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (*.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v)))))) |
(*.f64 -4/3 (+.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 4)) (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6)))))) |
(fma.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -4/3 (*.f64 v v)) (/.f64 -4/3 (pow.f64 v 6))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -4/3 (*.f64 v v)) (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (pow.f64 v 6))))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 8) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64))))))) |
(fma.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (fma.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 8))) (*.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))))))) |
(fma.f64 -4/3 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 4)) (*.f64 -4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6)))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 8)))))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -4/3 (*.f64 v v)) (/.f64 -4/3 (pow.f64 v 4)))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -4/3 (pow.f64 v 6)) (/.f64 -4/3 (pow.f64 v 8))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (+.f64 (/.f64 -4/3 (*.f64 v v)) (/.f64 -4/3 (pow.f64 v 4))) (+.f64 (/.f64 -4/3 (pow.f64 v 6)) (/.f64 -4/3 (pow.f64 v 8))))) |
(PI.f64) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64)) |
(fma.f64 -1 (*.f64 (PI.f64) (*.f64 v v)) (PI.f64)) |
(-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v v))) |
(*.f64 (PI.f64) (fma.f64 (neg.f64 v) v 1)) |
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64)) |
(fma.f64 -1 (*.f64 (PI.f64) (*.f64 v v)) (PI.f64)) |
(-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v v))) |
(*.f64 (PI.f64) (fma.f64 (neg.f64 v) v 1)) |
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64)) |
(fma.f64 -1 (*.f64 (PI.f64) (*.f64 v v)) (PI.f64)) |
(-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v v))) |
(*.f64 (PI.f64) (fma.f64 (neg.f64 v) v 1)) |
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) |
(*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) |
(neg.f64 (*.f64 (PI.f64) (*.f64 v v))) |
(*.f64 (PI.f64) (neg.f64 (*.f64 v v))) |
(*.f64 (PI.f64) (*.f64 v (neg.f64 v))) |
(*.f64 (*.f64 (PI.f64) v) (neg.f64 v)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64)) |
(fma.f64 -1 (*.f64 (PI.f64) (*.f64 v v)) (PI.f64)) |
(-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v v))) |
(*.f64 (PI.f64) (fma.f64 (neg.f64 v) v 1)) |
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64)) |
(fma.f64 -1 (*.f64 (PI.f64) (*.f64 v v)) (PI.f64)) |
(-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v v))) |
(*.f64 (PI.f64) (fma.f64 (neg.f64 v) v 1)) |
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64)) |
(fma.f64 -1 (*.f64 (PI.f64) (*.f64 v v)) (PI.f64)) |
(-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v v))) |
(*.f64 (PI.f64) (fma.f64 (neg.f64 v) v 1)) |
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) |
(*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) |
(neg.f64 (*.f64 (PI.f64) (*.f64 v v))) |
(*.f64 (PI.f64) (neg.f64 (*.f64 v v))) |
(*.f64 (PI.f64) (*.f64 v (neg.f64 v))) |
(*.f64 (*.f64 (PI.f64) v) (neg.f64 v)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64)) |
(fma.f64 -1 (*.f64 (PI.f64) (*.f64 v v)) (PI.f64)) |
(-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v v))) |
(*.f64 (PI.f64) (fma.f64 (neg.f64 v) v 1)) |
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64)) |
(fma.f64 -1 (*.f64 (PI.f64) (*.f64 v v)) (PI.f64)) |
(-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v v))) |
(*.f64 (PI.f64) (fma.f64 (neg.f64 v) v 1)) |
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (PI.f64))) (PI.f64)) |
(fma.f64 -1 (*.f64 (PI.f64) (*.f64 v v)) (PI.f64)) |
(-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 v v))) |
(*.f64 (PI.f64) (fma.f64 (neg.f64 v) v 1)) |
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 3 (-.f64 1 (*.f64 v v))) |
| ✓ | 0.0b | (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) |
| ✓ | 1.0b | (/.f64 (pow.f64 2 -1/2) (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))) |
Compiled 63 to 42 computations (33.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | v | @ | inf | (/.f64 (pow.f64 2 -1/2) (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))) |
| 1.0ms | v | @ | 0 | (/.f64 (pow.f64 2 -1/2) (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))) |
| 1.0ms | v | @ | -inf | (/.f64 (pow.f64 2 -1/2) (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))) |
| 1.0ms | v | @ | 0 | (*.f64 3 (-.f64 1 (*.f64 v v))) |
| 1.0ms | v | @ | inf | (*.f64 3 (-.f64 1 (*.f64 v v))) |
| 1× | batch-egg-rewrite |
| 628× | log-prod_binary64 |
| 348× | pow-prod-down_binary64 |
| 334× | pow2_binary64 |
| 229× | pow1/3_binary64 |
| 228× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 44 |
| 1 | 281 | 43 |
| 2 | 3517 | 43 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 2 -1/2) (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))) |
(*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))) |
(*.f64 3 (-.f64 1 (*.f64 v v))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (/.f64 1 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))) (cbrt.f64 (/.f64 1/2 (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)) 2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (*.f64 (pow.f64 2 -1/6) (/.f64 1 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))) (sqrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))) (#(struct:change #<rule 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1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 -1/4) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))) 2)) (/.f64 (pow.f64 2 -1/4) (cbrt.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)) -1/2) (/.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (sqrt.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))) (/.f64 (pow.f64 2 -1/6) (sqrt.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (PI.f64) 3)) (/.f64 (sqrt.f64 1/2) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (*.f64 (PI.f64) 3)) (/.f64 (pow.f64 2 -1/6) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule 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(-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)) (sqrt.f64 2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (neg.f64 (*.f64 (PI.f64) 3)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/2 (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 2 -3/2) (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 3) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (PI.f64) 3) 1) (*.f64 (*.f64 (PI.f64) 3) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 3)) (-.f64 1 (*.f64 v v)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 3)) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 3)) (-.f64 1 (*.f64 v v))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 3)) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (PI.f64) 3) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (PI.f64) 3) (-.f64 1 (pow.f64 v 4))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 3)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) 3 (*.f64 (*.f64 v (neg.f64 v)) (*.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (PI.f64) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (PI.f64) 3) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 (PI.f64)) 3) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 3) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (PI.f64) 3) 1 (*.f64 (*.f64 (PI.f64) 3) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 3)) 2) (cbrt.f64 (*.f64 (PI.f64) 3)) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (PI.f64) 3)) (sqrt.f64 (*.f64 (PI.f64) 3)) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 (PI.f64) 3))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (*.f64 (*.f64 v (neg.f64 v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (*.f64 3 (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 v v))) 2)) (-.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (-.f64 1 (*.f64 v v))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (-.f64 1 (*.f64 v v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 6)) 3) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) 3) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (-.f64 1 (pow.f64 v 6))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (-.f64 1 (pow.f64 v 4))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (-.f64 1 (*.f64 v v))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (-.f64 1 (*.f64 v v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (-.f64 1 (*.f64 v v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (-.f64 1 (*.f64 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 3 (-.f64 1 (*.f64 v v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (-.f64 1 (*.f64 v v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (-.f64 1 (*.f64 v v)))) 1)))))) |
| 1× | egg-herbie |
| 772× | fma-def_binary64 |
| 731× | times-frac_binary64 |
| 673× | associate-/r*_binary64 |
| 571× | associate-*l*_binary64 |
| 512× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 723 |
| 1 | 157 | 662 |
| 2 | 444 | 598 |
| 3 | 1397 | 549 |
| 4 | 7656 | 549 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(+.f64 (*.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64)))) |
(+.f64 (*.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (PI.f64))))) |
(+.f64 (*.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 6)) (PI.f64))) (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (PI.f64)))))) |
(*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64))))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 8) (PI.f64))))))) |
(*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64))))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 8) (PI.f64))))))) |
(*.f64 3 (PI.f64)) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
3 |
(+.f64 3 (*.f64 -3 (pow.f64 v 2))) |
(+.f64 3 (*.f64 -3 (pow.f64 v 2))) |
(+.f64 3 (*.f64 -3 (pow.f64 v 2))) |
(*.f64 -3 (pow.f64 v 2)) |
(+.f64 3 (*.f64 -3 (pow.f64 v 2))) |
(+.f64 3 (*.f64 -3 (pow.f64 v 2))) |
(+.f64 3 (*.f64 -3 (pow.f64 v 2))) |
(*.f64 -3 (pow.f64 v 2)) |
(+.f64 3 (*.f64 -3 (pow.f64 v 2))) |
(+.f64 3 (*.f64 -3 (pow.f64 v 2))) |
(+.f64 3 (*.f64 -3 (pow.f64 v 2))) |
| Outputs |
|---|
(*.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(+.f64 (*.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64)))) |
(*.f64 1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 v v)) (PI.f64)))) |
(*.f64 1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 v v)))) |
(*.f64 1/3 (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 v v) (/.f64 (sqrt.f64 1/2) (PI.f64)))) |
(*.f64 1/3 (*.f64 (+.f64 (*.f64 v v) 1) (/.f64 (sqrt.f64 1/2) (PI.f64)))) |
(+.f64 (*.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (PI.f64))))) |
(fma.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 1/3 (+.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 v v)) (PI.f64)) (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (PI.f64))))) |
(*.f64 1/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 v v))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 4)))) |
(*.f64 1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 v v) (pow.f64 v 4))))) |
(*.f64 1/3 (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 v v (pow.f64 v 4)) (/.f64 (sqrt.f64 1/2) (PI.f64)))) |
(+.f64 (*.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 6)) (PI.f64))) (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (PI.f64)))))) |
(fma.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 v v)) (PI.f64)) (*.f64 1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (/.f64 (PI.f64) (pow.f64 v 6))) (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (PI.f64)))))) |
(*.f64 1/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 v v))) (+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 4)) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 6))))) |
(*.f64 1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (pow.f64 v 4) (pow.f64 v 6)))))) |
(*.f64 1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (pow.f64 v 4) (fma.f64 v v (pow.f64 v 6)))))) |
(*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) |
(*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v)))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v)) (/.f64 -1/3 (PI.f64))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64))))) |
(*.f64 -1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -1/3 (pow.f64 v 4)) (/.f64 -1/3 (*.f64 v v)))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -1/3 (*.f64 v v)) (/.f64 -1/3 (pow.f64 v 4)))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))))) |
(fma.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6))) (*.f64 -1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4)))))) |
(*.f64 -1/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4)))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 6)))) |
(fma.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -1/3 (pow.f64 v 4)) (/.f64 -1/3 (*.f64 v v))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -1/3 (pow.f64 v 4)) (+.f64 (/.f64 -1/3 (*.f64 v v)) (/.f64 -1/3 (pow.f64 v 6))))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 8) (PI.f64))))))) |
(fma.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6))) (fma.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (*.f64 -1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 8))))))) |
(fma.f64 -1/3 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 6)) (*.f64 -1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 8)))))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -1/3 (pow.f64 v 4)) (/.f64 -1/3 (*.f64 v v)))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -1/3 (pow.f64 v 8)) (/.f64 -1/3 (pow.f64 v 6))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (+.f64 (/.f64 -1/3 (pow.f64 v 4)) (/.f64 -1/3 (pow.f64 v 8))) (+.f64 (/.f64 -1/3 (*.f64 v v)) (/.f64 -1/3 (pow.f64 v 6))))) |
(*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) |
(*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v)))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v)) (/.f64 -1/3 (PI.f64))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64))))) |
(*.f64 -1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -1/3 (pow.f64 v 4)) (/.f64 -1/3 (*.f64 v v)))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -1/3 (*.f64 v v)) (/.f64 -1/3 (pow.f64 v 4)))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))))) |
(fma.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6))) (*.f64 -1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4)))))) |
(*.f64 -1/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4)))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 6)))) |
(fma.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -1/3 (pow.f64 v 4)) (/.f64 -1/3 (*.f64 v v))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -1/3 (pow.f64 v 4)) (+.f64 (/.f64 -1/3 (*.f64 v v)) (/.f64 -1/3 (pow.f64 v 6))))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 8) (PI.f64))))))) |
(fma.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6))) (fma.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (*.f64 -1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 8))))))) |
(fma.f64 -1/3 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 6)) (*.f64 -1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 8)))))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -1/3 (pow.f64 v 4)) (/.f64 -1/3 (*.f64 v v)))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -1/3 (pow.f64 v 8)) (/.f64 -1/3 (pow.f64 v 6))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (+.f64 (/.f64 -1/3 (pow.f64 v 4)) (/.f64 -1/3 (pow.f64 v 8))) (+.f64 (/.f64 -1/3 (*.f64 v v)) (/.f64 -1/3 (pow.f64 v 6))))) |
(*.f64 3 (PI.f64)) |
(*.f64 (PI.f64) 3) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3)) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3)) |
(*.f64 (PI.f64) (fma.f64 v (*.f64 v -3) 3)) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3)) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3)) |
(*.f64 (PI.f64) (fma.f64 v (*.f64 v -3) 3)) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3)) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3)) |
(*.f64 (PI.f64) (fma.f64 v (*.f64 v -3) 3)) |
(*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) |
(*.f64 (*.f64 (PI.f64) (*.f64 v v)) -3) |
(*.f64 (*.f64 v v) (*.f64 (PI.f64) -3)) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3)) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3)) |
(*.f64 (PI.f64) (fma.f64 v (*.f64 v -3) 3)) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3)) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3)) |
(*.f64 (PI.f64) (fma.f64 v (*.f64 v -3) 3)) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3)) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3)) |
(*.f64 (PI.f64) (fma.f64 v (*.f64 v -3) 3)) |
(*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) |
(*.f64 (*.f64 (PI.f64) (*.f64 v v)) -3) |
(*.f64 (*.f64 v v) (*.f64 (PI.f64) -3)) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3)) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3)) |
(*.f64 (PI.f64) (fma.f64 v (*.f64 v -3) 3)) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3)) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3)) |
(*.f64 (PI.f64) (fma.f64 v (*.f64 v -3) 3)) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3)) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3 3)) |
(*.f64 (PI.f64) (fma.f64 v (*.f64 v -3) 3)) |
3 |
(+.f64 3 (*.f64 -3 (pow.f64 v 2))) |
(+.f64 3 (*.f64 (*.f64 v v) -3)) |
(fma.f64 (*.f64 v v) -3 3) |
(fma.f64 v (*.f64 v -3) 3) |
(+.f64 3 (*.f64 -3 (pow.f64 v 2))) |
(+.f64 3 (*.f64 (*.f64 v v) -3)) |
(fma.f64 (*.f64 v v) -3 3) |
(fma.f64 v (*.f64 v -3) 3) |
(+.f64 3 (*.f64 -3 (pow.f64 v 2))) |
(+.f64 3 (*.f64 (*.f64 v v) -3)) |
(fma.f64 (*.f64 v v) -3 3) |
(fma.f64 v (*.f64 v -3) 3) |
(*.f64 -3 (pow.f64 v 2)) |
(*.f64 (*.f64 v v) -3) |
(*.f64 v (*.f64 v -3)) |
(+.f64 3 (*.f64 -3 (pow.f64 v 2))) |
(+.f64 3 (*.f64 (*.f64 v v) -3)) |
(fma.f64 (*.f64 v v) -3 3) |
(fma.f64 v (*.f64 v -3) 3) |
(+.f64 3 (*.f64 -3 (pow.f64 v 2))) |
(+.f64 3 (*.f64 (*.f64 v v) -3)) |
(fma.f64 (*.f64 v v) -3 3) |
(fma.f64 v (*.f64 v -3) 3) |
(+.f64 3 (*.f64 -3 (pow.f64 v 2))) |
(+.f64 3 (*.f64 (*.f64 v v) -3)) |
(fma.f64 (*.f64 v v) -3 3) |
(fma.f64 v (*.f64 v -3) 3) |
(*.f64 -3 (pow.f64 v 2)) |
(*.f64 (*.f64 v v) -3) |
(*.f64 v (*.f64 v -3)) |
(+.f64 3 (*.f64 -3 (pow.f64 v 2))) |
(+.f64 3 (*.f64 (*.f64 v v) -3)) |
(fma.f64 (*.f64 v v) -3 3) |
(fma.f64 v (*.f64 v -3) 3) |
(+.f64 3 (*.f64 -3 (pow.f64 v 2))) |
(+.f64 3 (*.f64 (*.f64 v v) -3)) |
(fma.f64 (*.f64 v v) -3 3) |
(fma.f64 v (*.f64 v -3) 3) |
(+.f64 3 (*.f64 -3 (pow.f64 v 2))) |
(+.f64 3 (*.f64 (*.f64 v v) -3)) |
(fma.f64 (*.f64 v v) -3 3) |
(fma.f64 v (*.f64 v -3) 3) |
Compiled 16 to 14 computations (12.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (PI.f64) (fma.f64 v v -1)) |
| 0.0b | (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) | |
| ✓ | 0.0b | (/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) |
| ✓ | 1.0b | (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) |
Compiled 57 to 38 computations (33.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | v | @ | inf | (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) |
| 1.0ms | v | @ | -inf | (*.f64 (PI.f64) (fma.f64 v v -1)) |
| 1.0ms | v | @ | 0 | (/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) |
| 1.0ms | v | @ | -inf | (/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) |
| 1.0ms | v | @ | inf | (/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) |
| 1× | batch-egg-rewrite |
| 660× | log-prod_binary64 |
| 402× | pow-prod-down_binary64 |
| 361× | pow2_binary64 |
| 254× | pow1/3_binary64 |
| 251× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 45 |
| 1 | 294 | 45 |
| 2 | 3606 | 45 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) |
(/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) |
(*.f64 (PI.f64) (fma.f64 v v -1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4/3 (/.f64 1 (*.f64 (PI.f64) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1)) 2)) (cbrt.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1))) (sqrt.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (/.f64 1 (*.f64 (PI.f64) (neg.f64 (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (PI.f64) (fma.f64 v v -1))) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 (PI.f64)) (/.f64 1 (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 v v -1) (/.f64 -4/3 (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 v v -1) (/.f64 -4/3 (PI.f64))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1))) 1)))))) |
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 v v) (PI.f64)) (*.f64 -1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) (PI.f64))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (fma.f64 v v -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (fma.f64 v v -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (fma.f64 v v -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (fma.f64 v v -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (fma.f64 v v -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) (fma.f64 v v -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) (fma.f64 v v -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (fma.f64 v v -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (fma.f64 v v -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) (*.f64 v v) (*.f64 (PI.f64) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v v) (PI.f64) (*.f64 -1 (PI.f64))))))) |
| 1× | egg-herbie |
| 530× | fma-def_binary64 |
| 502× | fma-neg_binary64 |
| 329× | associate-/r*_binary64 |
| 324× | associate-*l*_binary64 |
| 306× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 143 | 1483 |
| 1 | 460 | 1427 |
| 2 | 1546 | 1354 |
| 3 | 6597 | 1350 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 4/3 (PI.f64)) |
(+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (*.f64 4/3 (/.f64 1 (PI.f64)))) |
(+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64))) (*.f64 4/3 (/.f64 1 (PI.f64))))) |
(+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 6) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64))) (*.f64 4/3 (/.f64 1 (PI.f64)))))) |
(/.f64 -4/3 (*.f64 (pow.f64 v 2) (PI.f64))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64)))))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 6) (PI.f64))))))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 8) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 6) (PI.f64)))))))) |
(/.f64 -4/3 (*.f64 (pow.f64 v 2) (PI.f64))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64)))))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 6) (PI.f64))))))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 8) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 6) (PI.f64)))))))) |
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))) |
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))))) |
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 6) (-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 -1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))) |
(*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))) |
(+.f64 (*.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))) |
(+.f64 (*.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (+.f64 (*.f64 -4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))) |
(+.f64 (*.f64 -4/3 (/.f64 (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 9))) (+.f64 (*.f64 -4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (+.f64 (*.f64 -4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))))) |
(*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))) |
(+.f64 (*.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))) |
(+.f64 (*.f64 4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))) |
(+.f64 (*.f64 4/3 (/.f64 (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 9))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))))) |
(*.f64 -1 (PI.f64)) |
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64))) |
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64))) |
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64))) |
(*.f64 (pow.f64 v 2) (PI.f64)) |
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64))) |
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64))) |
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64))) |
(*.f64 (pow.f64 v 2) (PI.f64)) |
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64))) |
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64))) |
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64))) |
| Outputs |
|---|
(/.f64 4/3 (PI.f64)) |
(+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (*.f64 4/3 (/.f64 1 (PI.f64)))) |
(fma.f64 4/3 (/.f64 (*.f64 v v) (PI.f64)) (/.f64 4/3 (PI.f64))) |
(fma.f64 4/3 (/.f64 v (/.f64 (PI.f64) v)) (/.f64 4/3 (PI.f64))) |
(fma.f64 4/3 (*.f64 (/.f64 v (PI.f64)) v) (/.f64 4/3 (PI.f64))) |
(+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64))) (*.f64 4/3 (/.f64 1 (PI.f64))))) |
(fma.f64 4/3 (/.f64 (*.f64 v v) (PI.f64)) (fma.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64)) (/.f64 4/3 (PI.f64)))) |
(fma.f64 4/3 (/.f64 v (/.f64 (PI.f64) v)) (fma.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64)) (/.f64 4/3 (PI.f64)))) |
(fma.f64 4/3 (+.f64 (*.f64 (/.f64 v (PI.f64)) v) (/.f64 (pow.f64 v 4) (PI.f64))) (/.f64 4/3 (PI.f64))) |
(+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 6) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64))) (*.f64 4/3 (/.f64 1 (PI.f64)))))) |
(fma.f64 4/3 (/.f64 (pow.f64 v 6) (PI.f64)) (fma.f64 4/3 (/.f64 (*.f64 v v) (PI.f64)) (fma.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64)) (/.f64 4/3 (PI.f64))))) |
(fma.f64 4/3 (/.f64 (pow.f64 v 6) (PI.f64)) (fma.f64 4/3 (/.f64 v (/.f64 (PI.f64) v)) (fma.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64)) (/.f64 4/3 (PI.f64))))) |
(fma.f64 4/3 (/.f64 (pow.f64 v 6) (PI.f64)) (fma.f64 4/3 (+.f64 (*.f64 (/.f64 v (PI.f64)) v) (/.f64 (pow.f64 v 4) (PI.f64))) (/.f64 4/3 (PI.f64)))) |
(/.f64 -4/3 (*.f64 (pow.f64 v 2) (PI.f64))) |
(/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64)))))) |
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (*.f64 (PI.f64) (*.f64 v v))))) |
(+.f64 (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v)))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 6) (PI.f64))))))) |
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (*.f64 v v))) (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6)))))) |
(-.f64 (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v))) (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6))))) |
(+.f64 (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (-.f64 (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6))))) |
(+.f64 (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (+.f64 (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v))) (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 6))))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 8) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 6) (PI.f64)))))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (*.f64 v v))) (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6))))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 8))))) |
(-.f64 (-.f64 (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v))) (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6))))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 8)))) |
(+.f64 (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v))) (-.f64 (-.f64 (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6)))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 8))))) |
(+.f64 (-.f64 (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6)))) (+.f64 (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v))) (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 8))))) |
(/.f64 -4/3 (*.f64 (pow.f64 v 2) (PI.f64))) |
(/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64)))))) |
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (*.f64 (PI.f64) (*.f64 v v))))) |
(+.f64 (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v)))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 6) (PI.f64))))))) |
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (*.f64 v v))) (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6)))))) |
(-.f64 (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v))) (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6))))) |
(+.f64 (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (-.f64 (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6))))) |
(+.f64 (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (+.f64 (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v))) (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 6))))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 8) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 1 (*.f64 (pow.f64 v 6) (PI.f64)))))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (*.f64 v v))) (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6))))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 8))))) |
(-.f64 (-.f64 (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v))) (+.f64 (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6))))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 8)))) |
(+.f64 (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v))) (-.f64 (-.f64 (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6)))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 8))))) |
(+.f64 (-.f64 (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 6)))) (+.f64 (/.f64 -4/3 (*.f64 (PI.f64) (*.f64 v v))) (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 8))))) |
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64)) |
(+.f64 (*.f64 -4/3 (*.f64 (pow.f64 v 2) (-.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))) |
(fma.f64 -4/3 (*.f64 (*.f64 v v) (-.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (*.f64 (PI.f64) (sqrt.f64 1/2))))) (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))) |
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1 (/.f64 -3/4 (*.f64 (PI.f64) (sqrt.f64 1/2)))) (*.f64 (*.f64 v v) -4/3))) |
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (-.f64 (/.f64 (/.f64 -3/4 (PI.f64)) (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 v (*.f64 v -4/3)))) |
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(*.f64 4/3 (+.f64 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))) |
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)))) |
(fma.f64 4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (pow.f64 v 3)) (/.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/27 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5))) |
(+.f64 (*.f64 4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))) |
(fma.f64 4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6))))) (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 7)) (*.f64 4/3 (+.f64 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))) |
(*.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5))) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 7)))) |
(fma.f64 4/3 (+.f64 (/.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (pow.f64 v 3)) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5))) (/.f64 (fma.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2) -1/108) (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (/.f64 -1/27 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 7))) |
(+.f64 (*.f64 4/3 (/.f64 (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (*.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 9))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 7))) (+.f64 (*.f64 4/3 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 1/36 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (pow.f64 v 5))) (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64))))))) |
(fma.f64 4/3 (/.f64 (-.f64 (fma.f64 -1/2 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (*.f64 (PI.f64) (sqrt.f64 -1/6))) (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))) (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 9)) (fma.f64 4/3 (/.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6))))) (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 7)) (*.f64 4/3 (+.f64 (/.f64 (-.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))))) |
(fma.f64 4/3 (/.f64 (+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) -1/6) 1/162) (*.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 9)) (*.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5))) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (fma.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 7))))) |
(fma.f64 4/3 (+.f64 (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)) (+.f64 (/.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (pow.f64 v 3)) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (fma.f64 (/.f64 -1/2 (sqrt.f64 -1/6)) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (PI.f64)) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 7)))) (/.f64 (fma.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (*.f64 (/.f64 -1/2 (sqrt.f64 -1/6)) (+.f64 (/.f64 (+.f64 1/162 (*.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (PI.f64)) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (PI.f64))))) (/.f64 -1/27 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 9))) |
(*.f64 4/3 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (pow.f64 v 5)) (+.f64 (/.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (pow.f64 v 3)) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (fma.f64 (/.f64 -1/2 (sqrt.f64 -1/6)) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (PI.f64)) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 7)))) (/.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (fma.f64 (/.f64 -1/2 (sqrt.f64 -1/6)) (+.f64 (/.f64 (+.f64 1/162 (*.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)))) (PI.f64)) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (PI.f64))) (/.f64 -1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 9)))) |
(*.f64 -1 (PI.f64)) |
(neg.f64 (PI.f64)) |
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64))) |
(*.f64 (PI.f64) (+.f64 -1 (*.f64 v v))) |
(*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)) |
(*.f64 (PI.f64) (fma.f64 v v -1)) |
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64))) |
(*.f64 (PI.f64) (+.f64 -1 (*.f64 v v))) |
(*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)) |
(*.f64 (PI.f64) (fma.f64 v v -1)) |
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64))) |
(*.f64 (PI.f64) (+.f64 -1 (*.f64 v v))) |
(*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)) |
(*.f64 (PI.f64) (fma.f64 v v -1)) |
(*.f64 (pow.f64 v 2) (PI.f64)) |
(*.f64 (PI.f64) (*.f64 v v)) |
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64))) |
(*.f64 (PI.f64) (+.f64 -1 (*.f64 v v))) |
(*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)) |
(*.f64 (PI.f64) (fma.f64 v v -1)) |
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64))) |
(*.f64 (PI.f64) (+.f64 -1 (*.f64 v v))) |
(*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)) |
(*.f64 (PI.f64) (fma.f64 v v -1)) |
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64))) |
(*.f64 (PI.f64) (+.f64 -1 (*.f64 v v))) |
(*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)) |
(*.f64 (PI.f64) (fma.f64 v v -1)) |
(*.f64 (pow.f64 v 2) (PI.f64)) |
(*.f64 (PI.f64) (*.f64 v v)) |
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64))) |
(*.f64 (PI.f64) (+.f64 -1 (*.f64 v v))) |
(*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)) |
(*.f64 (PI.f64) (fma.f64 v v -1)) |
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64))) |
(*.f64 (PI.f64) (+.f64 -1 (*.f64 v v))) |
(*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)) |
(*.f64 (PI.f64) (fma.f64 v v -1)) |
(+.f64 (*.f64 -1 (PI.f64)) (*.f64 (pow.f64 v 2) (PI.f64))) |
(*.f64 (PI.f64) (+.f64 -1 (*.f64 v v))) |
(*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)) |
(*.f64 (PI.f64) (fma.f64 v v -1)) |
Compiled 9833 to 7435 computations (24.4% saved)
11 alts after pruning (5 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 442 | 5 | 447 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 5 | 6 |
| Total | 443 | 11 | 454 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.6b | (/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) |
| ✓ | 0.0b | (/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) |
| ✓ | 0.0b | (*.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 1 (fma.f64 v v -1))) |
| ▶ | 1.5b | (/.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64)) (-.f64 1 (*.f64 v v))) |
| ▶ | 1.5b | (*.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 (PI.f64) (+.f64 3 (*.f64 (*.f64 v (neg.f64 v)) 3)))) 4) |
| ▶ | 1.5b | (*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 (*.f64 3 (-.f64 1 (*.f64 v v))))) 4) |
| ✓ | 1.5b | (*.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))) 4) |
| ✓ | 1.0b | (/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))) |
| ✓ | 1.5b | (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
| ▶ | 1.5b | (/.f64 (sqrt.f64 1/2) (/.f64 (PI.f64) (/.f64 4/3 (-.f64 1 (*.f64 v v))))) |
| ▶ | 1.5b | (*.f64 (*.f64 (/.f64 1 (*.f64 (PI.f64) 3)) (/.f64 (sqrt.f64 1/2) (-.f64 1 (*.f64 v v)))) 4) |
Compiled 241 to 206 computations (14.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (sqrt.f64 1/2) (-.f64 1 (*.f64 v v))) |
| ✓ | 1.0b | (*.f64 (/.f64 1 (*.f64 (PI.f64) 3)) (/.f64 (sqrt.f64 1/2) (-.f64 1 (*.f64 v v)))) |
Compiled 63 to 44 computations (30.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | v | @ | inf | (*.f64 (/.f64 1 (*.f64 (PI.f64) 3)) (/.f64 (sqrt.f64 1/2) (-.f64 1 (*.f64 v v)))) |
| 1.0ms | v | @ | 0 | (*.f64 (/.f64 1 (*.f64 (PI.f64) 3)) (/.f64 (sqrt.f64 1/2) (-.f64 1 (*.f64 v v)))) |
| 1.0ms | v | @ | inf | (/.f64 (sqrt.f64 1/2) (-.f64 1 (*.f64 v v))) |
| 1.0ms | v | @ | 0 | (/.f64 (sqrt.f64 1/2) (-.f64 1 (*.f64 v v))) |
| 1.0ms | v | @ | -inf | (*.f64 (/.f64 1 (*.f64 (PI.f64) 3)) (/.f64 (sqrt.f64 1/2) (-.f64 1 (*.f64 v v)))) |
| 1× | batch-egg-rewrite |
| 665× | log-prod_binary64 |
| 344× | pow2_binary64 |
| 240× | pow1/3_binary64 |
| 235× | expm1-udef_binary64 |
| 234× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 31 |
| 1 | 284 | 31 |
| 2 | 3753 | 31 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (*.f64 (PI.f64) 3)) (/.f64 (sqrt.f64 1/2) (-.f64 1 (*.f64 v v)))) |
(/.f64 (sqrt.f64 1/2) (-.f64 1 (*.f64 v v))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 1/3 (PI.f64)) (/.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 (PI.f64))) (/.f64 (sqrt.f64 1/2) (-.f64 1 (*.f64 v v))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 (PI.f64))) (/.f64 (sqrt.f64 1/2) (-.f64 1 (*.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 (PI.f64))) (/.f64 (sqrt.f64 1/2) (-.f64 1 (*.f64 v v)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 (PI.f64))) (/.f64 (sqrt.f64 1/2) (-.f64 1 (*.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1/3 (PI.f64)) (/.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (PI.f64) 1/3) (/.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 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v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 1/2) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 1/2) (-.f64 1 (*.f64 v v)))) 1)))))) |
| 1× | egg-herbie |
| 648× | associate-/l*_binary64 |
| 527× | associate-*l*_binary64 |
| 485× | associate-*r*_binary64 |
| 331× | distribute-lft-out_binary64 |
| 328× | associate-/l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 749 |
| 1 | 204 | 725 |
| 2 | 620 | 643 |
| 3 | 2116 | 590 |
| 4 | 7820 | 590 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(+.f64 (*.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64)))) |
(+.f64 (*.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (PI.f64))))) |
(+.f64 (*.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 6)) (PI.f64))) (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (PI.f64)))))) |
(*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64))))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 8) (PI.f64))))))) |
(*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64))))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 8) (PI.f64))))))) |
(sqrt.f64 1/2) |
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (sqrt.f64 1/2)) |
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (+.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)))) |
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 6)) (+.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (pow.f64 v 4))))) |
(*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 2))) |
(+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 2))) (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 4)))) |
(+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 6))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 2))) (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 4))))) |
(+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 6))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 2))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 4))) (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 8)))))) |
(*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 2))) |
(+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 2))) (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 4)))) |
(+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 6))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 2))) (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 4))))) |
(+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 6))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 2))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 4))) (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 8)))))) |
| Outputs |
|---|
(*.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(+.f64 (*.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64)))) |
(*.f64 1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 v v)) (PI.f64)))) |
(*.f64 1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (/.f64 (PI.f64) (*.f64 v v))))) |
(*.f64 1/3 (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 v v) (/.f64 (sqrt.f64 1/2) (PI.f64)))) |
(*.f64 (/.f64 1/3 (PI.f64)) (*.f64 (sqrt.f64 1/2) (fma.f64 v v 1))) |
(+.f64 (*.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (PI.f64))))) |
(fma.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 1/3 (+.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 v v)) (PI.f64)) (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (PI.f64))))) |
(*.f64 1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 (sqrt.f64 1/2) (/.f64 (PI.f64) (*.f64 v v))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 4))))) |
(*.f64 1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 v v) (pow.f64 v 4))))) |
(+.f64 (*.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 6)) (PI.f64))) (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (PI.f64)))))) |
(fma.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 v v)) (PI.f64)) (*.f64 1/3 (+.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 6)) (PI.f64)) (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (PI.f64)))))) |
(*.f64 1/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (/.f64 (PI.f64) (*.f64 v v)))) (+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 4)) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 6))))) |
(*.f64 1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (pow.f64 v 4) (pow.f64 v 6)))))) |
(*.f64 1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (pow.f64 v 4) (fma.f64 v v (pow.f64 v 6)))))) |
(*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) |
(*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v)))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v)) (/.f64 -1/3 (PI.f64))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 -1/3 (*.f64 v v))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64))))) |
(*.f64 -1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -1/3 (*.f64 v v)) (/.f64 -1/3 (pow.f64 v 4)))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))))) |
(fma.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6))) (*.f64 -1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4)))))) |
(*.f64 -1/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4)))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6))))) |
(fma.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -1/3 (pow.f64 v 4)) (/.f64 -1/3 (pow.f64 v 6))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (+.f64 (/.f64 -1/3 (*.f64 v v)) (/.f64 -1/3 (pow.f64 v 4))) (/.f64 -1/3 (pow.f64 v 6)))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 8) (PI.f64))))))) |
(fma.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6))) (fma.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (*.f64 -1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 8))))))) |
(fma.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6))) (*.f64 -1/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4)))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 8)))))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -1/3 (*.f64 v v)) (/.f64 -1/3 (pow.f64 v 4)))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -1/3 (pow.f64 v 8)) (/.f64 -1/3 (pow.f64 v 6))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (+.f64 (/.f64 -1/3 (pow.f64 v 8)) (/.f64 -1/3 (pow.f64 v 4))) (+.f64 (/.f64 -1/3 (*.f64 v v)) (/.f64 -1/3 (pow.f64 v 6))))) |
(*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) |
(*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v)))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v)) (/.f64 -1/3 (PI.f64))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 -1/3 (*.f64 v v))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64))))) |
(*.f64 -1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -1/3 (*.f64 v v)) (/.f64 -1/3 (pow.f64 v 4)))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))))) |
(fma.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6))) (*.f64 -1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4)))))) |
(*.f64 -1/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4)))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6))))) |
(fma.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -1/3 (pow.f64 v 4)) (/.f64 -1/3 (pow.f64 v 6))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (+.f64 (/.f64 -1/3 (*.f64 v v)) (/.f64 -1/3 (pow.f64 v 4))) (/.f64 -1/3 (pow.f64 v 6)))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 8) (PI.f64))))))) |
(fma.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6))) (fma.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (*.f64 -1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 8))))))) |
(fma.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6))) (*.f64 -1/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4)))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 8)))))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -1/3 (*.f64 v v)) (/.f64 -1/3 (pow.f64 v 4)))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -1/3 (pow.f64 v 8)) (/.f64 -1/3 (pow.f64 v 6))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (+.f64 (/.f64 -1/3 (pow.f64 v 8)) (/.f64 -1/3 (pow.f64 v 4))) (+.f64 (/.f64 -1/3 (*.f64 v v)) (/.f64 -1/3 (pow.f64 v 6))))) |
(sqrt.f64 1/2) |
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (sqrt.f64 1/2)) |
(fma.f64 (sqrt.f64 1/2) (*.f64 v v) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 1/2) (fma.f64 v v 1)) |
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (+.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)))) |
(+.f64 (fma.f64 (sqrt.f64 1/2) (*.f64 v v) (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (pow.f64 v 4))) |
(fma.f64 (sqrt.f64 1/2) (*.f64 v v) (fma.f64 (sqrt.f64 1/2) (pow.f64 v 4) (sqrt.f64 1/2))) |
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 v 4) (fma.f64 v v 1))) |
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 6)) (+.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (pow.f64 v 4))))) |
(fma.f64 (sqrt.f64 1/2) (*.f64 v v) (fma.f64 (sqrt.f64 1/2) (pow.f64 v 6) (+.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (pow.f64 v 4))))) |
(+.f64 (fma.f64 (sqrt.f64 1/2) (pow.f64 v 4) (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 v v) (pow.f64 v 6)))) |
(+.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (+.f64 (fma.f64 v v (pow.f64 v 6)) (pow.f64 v 4)))) |
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 v 6) (+.f64 (pow.f64 v 4) (fma.f64 v v 1)))) |
(*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 2))) |
(neg.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v))) |
(/.f64 (neg.f64 (sqrt.f64 1/2)) (*.f64 v v)) |
(+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 2))) (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 4)))) |
(*.f64 -1 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v)) (/.f64 (sqrt.f64 1/2) (pow.f64 v 4)))) |
(-.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (pow.f64 v 4))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v)) (+.f64 -1 (/.f64 -1 (*.f64 v v)))) |
(*.f64 (sqrt.f64 1/2) (+.f64 (/.f64 -1 (*.f64 v v)) (/.f64 -1 (pow.f64 v 4)))) |
(+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 6))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 2))) (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 4))))) |
(fma.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 6)) (*.f64 -1 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v)) (/.f64 (sqrt.f64 1/2) (pow.f64 v 4))))) |
(-.f64 (-.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) (pow.f64 v 6)) (/.f64 (sqrt.f64 1/2) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (pow.f64 v 4))) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v)) (+.f64 -1 (/.f64 -1 (*.f64 v v)))) (/.f64 (sqrt.f64 1/2) (pow.f64 v 6))) |
(-.f64 (*.f64 (sqrt.f64 1/2) (+.f64 (/.f64 -1 (*.f64 v v)) (/.f64 -1 (pow.f64 v 4)))) (/.f64 (sqrt.f64 1/2) (pow.f64 v 6))) |
(+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 6))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 2))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 4))) (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 8)))))) |
(fma.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 6)) (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 v v)) (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (neg.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 v 8)))))) |
(-.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (pow.f64 v 4))) (/.f64 (sqrt.f64 1/2) (pow.f64 v 8))) (/.f64 (sqrt.f64 1/2) (pow.f64 v 6))) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v)) (+.f64 -1 (/.f64 -1 (*.f64 v v)))) (+.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 v 8)) (/.f64 (sqrt.f64 1/2) (pow.f64 v 6)))) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v)) (+.f64 (+.f64 -1 (/.f64 -1 (*.f64 v v))) (/.f64 -1 (pow.f64 v 6)))) (/.f64 (sqrt.f64 1/2) (pow.f64 v 6))) |
(*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 2))) |
(neg.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v))) |
(/.f64 (neg.f64 (sqrt.f64 1/2)) (*.f64 v v)) |
(+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 2))) (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 4)))) |
(*.f64 -1 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v)) (/.f64 (sqrt.f64 1/2) (pow.f64 v 4)))) |
(-.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (pow.f64 v 4))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v)) (+.f64 -1 (/.f64 -1 (*.f64 v v)))) |
(*.f64 (sqrt.f64 1/2) (+.f64 (/.f64 -1 (*.f64 v v)) (/.f64 -1 (pow.f64 v 4)))) |
(+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 6))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 2))) (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 4))))) |
(fma.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 6)) (*.f64 -1 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v)) (/.f64 (sqrt.f64 1/2) (pow.f64 v 4))))) |
(-.f64 (-.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) (pow.f64 v 6)) (/.f64 (sqrt.f64 1/2) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (pow.f64 v 4))) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v)) (+.f64 -1 (/.f64 -1 (*.f64 v v)))) (/.f64 (sqrt.f64 1/2) (pow.f64 v 6))) |
(-.f64 (*.f64 (sqrt.f64 1/2) (+.f64 (/.f64 -1 (*.f64 v v)) (/.f64 -1 (pow.f64 v 4)))) (/.f64 (sqrt.f64 1/2) (pow.f64 v 6))) |
(+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 6))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 2))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 4))) (*.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 8)))))) |
(fma.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 6)) (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 v v)) (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (neg.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 v 8)))))) |
(-.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (pow.f64 v 4))) (/.f64 (sqrt.f64 1/2) (pow.f64 v 8))) (/.f64 (sqrt.f64 1/2) (pow.f64 v 6))) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v)) (+.f64 -1 (/.f64 -1 (*.f64 v v)))) (+.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 v 8)) (/.f64 (sqrt.f64 1/2) (pow.f64 v 6)))) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 v v)) (+.f64 (+.f64 -1 (/.f64 -1 (*.f64 v v))) (/.f64 -1 (pow.f64 v 6)))) (/.f64 (sqrt.f64 1/2) (pow.f64 v 6))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (PI.f64) (/.f64 4/3 (-.f64 1 (*.f64 v v)))) |
| ✓ | 0.0b | (/.f64 4/3 (-.f64 1 (*.f64 v v))) |
| ✓ | 1.0b | (/.f64 (sqrt.f64 1/2) (/.f64 (PI.f64) (/.f64 4/3 (-.f64 1 (*.f64 v v))))) |
Compiled 44 to 27 computations (38.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | v | @ | 0 | (/.f64 (sqrt.f64 1/2) (/.f64 (PI.f64) (/.f64 4/3 (-.f64 1 (*.f64 v v))))) |
| 1.0ms | v | @ | inf | (/.f64 4/3 (-.f64 1 (*.f64 v v))) |
| 0.0ms | v | @ | inf | (/.f64 (sqrt.f64 1/2) (/.f64 (PI.f64) (/.f64 4/3 (-.f64 1 (*.f64 v v))))) |
| 0.0ms | v | @ | 0 | (/.f64 (PI.f64) (/.f64 4/3 (-.f64 1 (*.f64 v v)))) |
| 0.0ms | v | @ | inf | (/.f64 (PI.f64) (/.f64 4/3 (-.f64 1 (*.f64 v v)))) |
| 1× | batch-egg-rewrite |
| 650× | log-prod_binary64 |
| 329× | pow2_binary64 |
| 228× | pow1/3_binary64 |
| 224× | expm1-udef_binary64 |
| 223× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 43 |
| 1 | 269 | 43 |
| 2 | 3668 | 43 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sqrt.f64 1/2) (/.f64 (PI.f64) (/.f64 4/3 (-.f64 1 (*.f64 v v))))) |
(/.f64 4/3 (-.f64 1 (*.f64 v v))) |
(/.f64 (PI.f64) (/.f64 4/3 (-.f64 1 (*.f64 v v)))) |
| Outputs |
|---|
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(sqrt.f64 1/2) (PI.f64)) (-.f64 3/4 (/.f64 (*.f64 v v) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (-.f64 1 (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (-.f64 3/4 (/.f64 (*.f64 v v) 4/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (-.f64 3/4 (/.f64 (*.f64 v v) 4/3)))) (cbrt.f64 (*.f64 1/2 (pow.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2))) (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (-.f64 3/4 (/.f64 (*.f64 v v) 4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (-.f64 3/4 (/.f64 (*.f64 v v) 4/3)))) (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (-.f64 3/4 (/.f64 (*.f64 v v) 4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/2 1/4) (*.f64 (pow.f64 1/2 1/4) (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (*.f64 (neg.f64 (PI.f64)) (-.f64 3/4 (/.f64 (*.f64 v v) 4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 4/3 (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (/.f64 (sqrt.f64 1/2) (-.f64 3/4 (/.f64 (*.f64 v v) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (PI.f64)) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (-.f64 3/4 (/.f64 (*.f64 v v) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 1/2 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(*.f64 (PI.f64) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (PI.f64) 3/4) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 (PI.f64) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (PI.f64) 3/4) 1 (*.f64 (*.f64 (PI.f64) 3/4) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 3/4)) 2) (cbrt.f64 (*.f64 (PI.f64) 3/4)) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 (PI.f64) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (PI.f64) 3/4)) (sqrt.f64 (*.f64 (PI.f64) 3/4)) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 (PI.f64) 3/4))))))) |
| 1× | egg-herbie |
| 586× | associate-/l*_binary64 |
| 428× | distribute-lft-out_binary64 |
| 367× | fma-def_binary64 |
| 331× | associate-/l/_binary64 |
| 316× | associate-*l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 844 |
| 1 | 256 | 802 |
| 2 | 772 | 712 |
| 3 | 2515 | 665 |
| 4 | 7097 | 665 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64)))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (PI.f64))))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 6)) (PI.f64))) (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (PI.f64)))))) |
(*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64))))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 8) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64))))))) |
(*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64))))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 8) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64))))))) |
4/3 |
(+.f64 4/3 (*.f64 4/3 (pow.f64 v 2))) |
(+.f64 4/3 (+.f64 (*.f64 4/3 (pow.f64 v 4)) (*.f64 4/3 (pow.f64 v 2)))) |
(+.f64 4/3 (+.f64 (*.f64 4/3 (pow.f64 v 4)) (+.f64 (*.f64 4/3 (pow.f64 v 6)) (*.f64 4/3 (pow.f64 v 2))))) |
(/.f64 -4/3 (pow.f64 v 2)) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 4))) (*.f64 4/3 (/.f64 1 (pow.f64 v 2))))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 2))) (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 4))) (*.f64 4/3 (/.f64 1 (pow.f64 v 6)))))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 8))) (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 2))) (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 6))) (*.f64 4/3 (/.f64 1 (pow.f64 v 4))))))) |
(/.f64 -4/3 (pow.f64 v 2)) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 4))) (*.f64 4/3 (/.f64 1 (pow.f64 v 2))))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 2))) (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 4))) (*.f64 4/3 (/.f64 1 (pow.f64 v 6)))))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 8))) (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 2))) (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 6))) (*.f64 4/3 (/.f64 1 (pow.f64 v 4))))))) |
(*.f64 3/4 (PI.f64)) |
(+.f64 (*.f64 3/4 (PI.f64)) (*.f64 -3/4 (*.f64 (pow.f64 v 2) (PI.f64)))) |
(+.f64 (*.f64 3/4 (PI.f64)) (*.f64 -3/4 (*.f64 (pow.f64 v 2) (PI.f64)))) |
(+.f64 (*.f64 3/4 (PI.f64)) (*.f64 -3/4 (*.f64 (pow.f64 v 2) (PI.f64)))) |
(*.f64 -3/4 (*.f64 (pow.f64 v 2) (PI.f64))) |
(+.f64 (*.f64 3/4 (PI.f64)) (*.f64 -3/4 (*.f64 (pow.f64 v 2) (PI.f64)))) |
(+.f64 (*.f64 3/4 (PI.f64)) (*.f64 -3/4 (*.f64 (pow.f64 v 2) (PI.f64)))) |
(+.f64 (*.f64 3/4 (PI.f64)) (*.f64 -3/4 (*.f64 (pow.f64 v 2) (PI.f64)))) |
(*.f64 -3/4 (*.f64 (pow.f64 v 2) (PI.f64))) |
(+.f64 (*.f64 3/4 (PI.f64)) (*.f64 -3/4 (*.f64 (pow.f64 v 2) (PI.f64)))) |
(+.f64 (*.f64 3/4 (PI.f64)) (*.f64 -3/4 (*.f64 (pow.f64 v 2) (PI.f64)))) |
(+.f64 (*.f64 3/4 (PI.f64)) (*.f64 -3/4 (*.f64 (pow.f64 v 2) (PI.f64)))) |
| Outputs |
|---|
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64)))) |
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (/.f64 (PI.f64) (*.f64 v v))))) |
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (/.f64 (/.f64 (PI.f64) v) v)))) |
(*.f64 4/3 (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 v v) (/.f64 (sqrt.f64 1/2) (PI.f64)))) |
(*.f64 4/3 (*.f64 (fma.f64 v v 1) (/.f64 (sqrt.f64 1/2) (PI.f64)))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (PI.f64))))) |
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (/.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (/.f64 (PI.f64) (pow.f64 v 4)))))) |
(*.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (/.f64 (/.f64 (PI.f64) v) v))) (/.f64 (sqrt.f64 1/2) (/.f64 (PI.f64) (pow.f64 v 4))))) |
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 v v (pow.f64 v 4))))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 6)) (PI.f64))) (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (PI.f64)))))) |
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (/.f64 (PI.f64) (*.f64 v v))) (*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (/.f64 (PI.f64) (pow.f64 v 6))) (/.f64 (sqrt.f64 1/2) (/.f64 (PI.f64) (pow.f64 v 4))))))) |
(*.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (sqrt.f64 1/2) (/.f64 (/.f64 (PI.f64) v) v))) (+.f64 (/.f64 (sqrt.f64 1/2) (/.f64 (PI.f64) (pow.f64 v 4))) (/.f64 (sqrt.f64 1/2) (/.f64 (PI.f64) (pow.f64 v 6)))))) |
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 6)) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 v v (pow.f64 v 4)))))) |
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (pow.f64 v 6) (fma.f64 v v (pow.f64 v 4)))))) |
(*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) |
(*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v)))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 -4/3 (*.f64 v v))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64))))) |
(*.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))))) |
(*.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (*.f64 v v)))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 v v)) (+.f64 -4/3 (/.f64 -4/3 (*.f64 v v)))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))))) |
(fma.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (*.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v)))))) |
(*.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6)))))) |
(fma.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (-.f64 (/.f64 -4/3 (*.f64 v v)) (/.f64 4/3 (pow.f64 v 6))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (*.f64 v v))) (/.f64 -4/3 (pow.f64 v 6)))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 8) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64))))))) |
(fma.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (fma.f64 -4/3 (/.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 v 8)) (PI.f64)) (*.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))))))) |
(fma.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (*.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 8))) (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6))))))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (-.f64 (/.f64 -4/3 (*.f64 v v)) (/.f64 4/3 (pow.f64 v 6)))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -4/3 (pow.f64 v 8)) (/.f64 -4/3 (pow.f64 v 4))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (*.f64 v v))) (+.f64 (/.f64 -4/3 (pow.f64 v 8)) (/.f64 -4/3 (pow.f64 v 6))))) |
(*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) |
(*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v)))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 -4/3 (*.f64 v v))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64))))) |
(*.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))))) |
(*.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (*.f64 v v)))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 v v)) (+.f64 -4/3 (/.f64 -4/3 (*.f64 v v)))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))))) |
(fma.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (*.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v)))))) |
(*.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6)))))) |
(fma.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (-.f64 (/.f64 -4/3 (*.f64 v v)) (/.f64 4/3 (pow.f64 v 6))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (*.f64 v v))) (/.f64 -4/3 (pow.f64 v 6)))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 8) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64))))))) |
(fma.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (fma.f64 -4/3 (/.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 v 8)) (PI.f64)) (*.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))))))) |
(fma.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (*.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 8))) (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6))))))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (-.f64 (/.f64 -4/3 (*.f64 v v)) (/.f64 4/3 (pow.f64 v 6)))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -4/3 (pow.f64 v 8)) (/.f64 -4/3 (pow.f64 v 4))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (*.f64 v v))) (+.f64 (/.f64 -4/3 (pow.f64 v 8)) (/.f64 -4/3 (pow.f64 v 6))))) |
4/3 |
(+.f64 4/3 (*.f64 4/3 (pow.f64 v 2))) |
(+.f64 4/3 (*.f64 4/3 (*.f64 v v))) |
(fma.f64 4/3 (*.f64 v v) 4/3) |
(*.f64 4/3 (fma.f64 v v 1)) |
(+.f64 4/3 (+.f64 (*.f64 4/3 (pow.f64 v 4)) (*.f64 4/3 (pow.f64 v 2)))) |
(+.f64 4/3 (*.f64 4/3 (+.f64 (pow.f64 v 4) (*.f64 v v)))) |
(fma.f64 4/3 (+.f64 (*.f64 v v) (pow.f64 v 4)) 4/3) |
(fma.f64 4/3 (fma.f64 v v (pow.f64 v 4)) 4/3) |
(+.f64 4/3 (+.f64 (*.f64 4/3 (pow.f64 v 4)) (+.f64 (*.f64 4/3 (pow.f64 v 6)) (*.f64 4/3 (pow.f64 v 2))))) |
(+.f64 4/3 (fma.f64 4/3 (pow.f64 v 4) (*.f64 4/3 (+.f64 (pow.f64 v 6) (*.f64 v v))))) |
(+.f64 4/3 (*.f64 4/3 (+.f64 (+.f64 (*.f64 v v) (pow.f64 v 6)) (pow.f64 v 4)))) |
(fma.f64 4/3 (+.f64 (pow.f64 v 6) (fma.f64 v v (pow.f64 v 4))) 4/3) |
(/.f64 -4/3 (pow.f64 v 2)) |
(/.f64 -4/3 (*.f64 v v)) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 4))) (*.f64 4/3 (/.f64 1 (pow.f64 v 2))))) |
(neg.f64 (+.f64 (/.f64 4/3 (pow.f64 v 4)) (/.f64 4/3 (*.f64 v v)))) |
(+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (*.f64 v v))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 2))) (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 4))) (*.f64 4/3 (/.f64 1 (pow.f64 v 6)))))) |
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 v v)) (+.f64 (/.f64 4/3 (pow.f64 v 4)) (/.f64 4/3 (pow.f64 v 6))))) |
(-.f64 (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (*.f64 v v))) (/.f64 4/3 (pow.f64 v 6))) |
(+.f64 (/.f64 -4/3 (pow.f64 v 4)) (-.f64 (/.f64 -4/3 (*.f64 v v)) (/.f64 4/3 (pow.f64 v 6)))) |
(+.f64 (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (*.f64 v v))) (/.f64 -4/3 (pow.f64 v 6))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 8))) (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 2))) (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 6))) (*.f64 4/3 (/.f64 1 (pow.f64 v 4))))))) |
(neg.f64 (+.f64 (/.f64 4/3 (pow.f64 v 8)) (+.f64 (/.f64 4/3 (*.f64 v v)) (+.f64 (/.f64 4/3 (pow.f64 v 4)) (/.f64 4/3 (pow.f64 v 6)))))) |
(+.f64 (/.f64 -4/3 (pow.f64 v 8)) (-.f64 (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (*.f64 v v))) (/.f64 4/3 (pow.f64 v 6)))) |
(+.f64 (/.f64 -4/3 (pow.f64 v 8)) (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (-.f64 (/.f64 -4/3 (*.f64 v v)) (/.f64 4/3 (pow.f64 v 6))))) |
(+.f64 (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (*.f64 v v))) (+.f64 (/.f64 -4/3 (pow.f64 v 8)) (/.f64 -4/3 (pow.f64 v 6)))) |
(/.f64 -4/3 (pow.f64 v 2)) |
(/.f64 -4/3 (*.f64 v v)) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 4))) (*.f64 4/3 (/.f64 1 (pow.f64 v 2))))) |
(neg.f64 (+.f64 (/.f64 4/3 (pow.f64 v 4)) (/.f64 4/3 (*.f64 v v)))) |
(+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (*.f64 v v))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 2))) (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 4))) (*.f64 4/3 (/.f64 1 (pow.f64 v 6)))))) |
(neg.f64 (+.f64 (/.f64 4/3 (*.f64 v v)) (+.f64 (/.f64 4/3 (pow.f64 v 4)) (/.f64 4/3 (pow.f64 v 6))))) |
(-.f64 (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (*.f64 v v))) (/.f64 4/3 (pow.f64 v 6))) |
(+.f64 (/.f64 -4/3 (pow.f64 v 4)) (-.f64 (/.f64 -4/3 (*.f64 v v)) (/.f64 4/3 (pow.f64 v 6)))) |
(+.f64 (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (*.f64 v v))) (/.f64 -4/3 (pow.f64 v 6))) |
(neg.f64 (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 8))) (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 2))) (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 v 6))) (*.f64 4/3 (/.f64 1 (pow.f64 v 4))))))) |
(neg.f64 (+.f64 (/.f64 4/3 (pow.f64 v 8)) (+.f64 (/.f64 4/3 (*.f64 v v)) (+.f64 (/.f64 4/3 (pow.f64 v 4)) (/.f64 4/3 (pow.f64 v 6)))))) |
(+.f64 (/.f64 -4/3 (pow.f64 v 8)) (-.f64 (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (*.f64 v v))) (/.f64 4/3 (pow.f64 v 6)))) |
(+.f64 (/.f64 -4/3 (pow.f64 v 8)) (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (-.f64 (/.f64 -4/3 (*.f64 v v)) (/.f64 4/3 (pow.f64 v 6))))) |
(+.f64 (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (*.f64 v v))) (+.f64 (/.f64 -4/3 (pow.f64 v 8)) (/.f64 -4/3 (pow.f64 v 6)))) |
(*.f64 3/4 (PI.f64)) |
(*.f64 (PI.f64) 3/4) |
(+.f64 (*.f64 3/4 (PI.f64)) (*.f64 -3/4 (*.f64 (pow.f64 v 2) (PI.f64)))) |
(fma.f64 3/4 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 v v)) -3/4)) |
(*.f64 (PI.f64) (+.f64 3/4 (*.f64 (*.f64 v v) -3/4))) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3/4 3/4)) |
(+.f64 (*.f64 3/4 (PI.f64)) (*.f64 -3/4 (*.f64 (pow.f64 v 2) (PI.f64)))) |
(fma.f64 3/4 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 v v)) -3/4)) |
(*.f64 (PI.f64) (+.f64 3/4 (*.f64 (*.f64 v v) -3/4))) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3/4 3/4)) |
(+.f64 (*.f64 3/4 (PI.f64)) (*.f64 -3/4 (*.f64 (pow.f64 v 2) (PI.f64)))) |
(fma.f64 3/4 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 v v)) -3/4)) |
(*.f64 (PI.f64) (+.f64 3/4 (*.f64 (*.f64 v v) -3/4))) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3/4 3/4)) |
(*.f64 -3/4 (*.f64 (pow.f64 v 2) (PI.f64))) |
(*.f64 (*.f64 (PI.f64) (*.f64 v v)) -3/4) |
(*.f64 (PI.f64) (*.f64 (*.f64 v v) -3/4)) |
(+.f64 (*.f64 3/4 (PI.f64)) (*.f64 -3/4 (*.f64 (pow.f64 v 2) (PI.f64)))) |
(fma.f64 3/4 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 v v)) -3/4)) |
(*.f64 (PI.f64) (+.f64 3/4 (*.f64 (*.f64 v v) -3/4))) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3/4 3/4)) |
(+.f64 (*.f64 3/4 (PI.f64)) (*.f64 -3/4 (*.f64 (pow.f64 v 2) (PI.f64)))) |
(fma.f64 3/4 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 v v)) -3/4)) |
(*.f64 (PI.f64) (+.f64 3/4 (*.f64 (*.f64 v v) -3/4))) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3/4 3/4)) |
(+.f64 (*.f64 3/4 (PI.f64)) (*.f64 -3/4 (*.f64 (pow.f64 v 2) (PI.f64)))) |
(fma.f64 3/4 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 v v)) -3/4)) |
(*.f64 (PI.f64) (+.f64 3/4 (*.f64 (*.f64 v v) -3/4))) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3/4 3/4)) |
(*.f64 -3/4 (*.f64 (pow.f64 v 2) (PI.f64))) |
(*.f64 (*.f64 (PI.f64) (*.f64 v v)) -3/4) |
(*.f64 (PI.f64) (*.f64 (*.f64 v v) -3/4)) |
(+.f64 (*.f64 3/4 (PI.f64)) (*.f64 -3/4 (*.f64 (pow.f64 v 2) (PI.f64)))) |
(fma.f64 3/4 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 v v)) -3/4)) |
(*.f64 (PI.f64) (+.f64 3/4 (*.f64 (*.f64 v v) -3/4))) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3/4 3/4)) |
(+.f64 (*.f64 3/4 (PI.f64)) (*.f64 -3/4 (*.f64 (pow.f64 v 2) (PI.f64)))) |
(fma.f64 3/4 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 v v)) -3/4)) |
(*.f64 (PI.f64) (+.f64 3/4 (*.f64 (*.f64 v v) -3/4))) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3/4 3/4)) |
(+.f64 (*.f64 3/4 (PI.f64)) (*.f64 -3/4 (*.f64 (pow.f64 v 2) (PI.f64)))) |
(fma.f64 3/4 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 v v)) -3/4)) |
(*.f64 (PI.f64) (+.f64 3/4 (*.f64 (*.f64 v v) -3/4))) |
(*.f64 (PI.f64) (fma.f64 (*.f64 v v) -3/4 3/4)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64)) (-.f64 1 (*.f64 v v))) |
| ✓ | 1.0b | (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64)) |
Compiled 38 to 27 computations (28.9% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | v | @ | 0 | (/.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64)) (-.f64 1 (*.f64 v v))) |
| 0.0ms | v | @ | inf | (/.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64)) (-.f64 1 (*.f64 v v))) |
| 0.0ms | v | @ | -inf | (/.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64)) (-.f64 1 (*.f64 v v))) |
| 1× | batch-egg-rewrite |
| 625× | log-prod_binary64 |
| 325× | pow2_binary64 |
| 224× | pow1/3_binary64 |
| 220× | expm1-udef_binary64 |
| 219× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 29 |
| 1 | 262 | 23 |
| 2 | 3528 | 23 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64)) |
(/.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64)) (-.f64 1 (*.f64 v v))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 8/9) (/.f64 1 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 8/9) (*.f64 (/.f64 1 (PI.f64)) (/.f64 1 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule 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(cbrt.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) 2)) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (cbrt.f64 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 8/9) (sqrt.f64 (-.f64 1 (*.f64 v v)))) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (*.f64 v v)) -1/2) (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (sqrt.f64 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))) (sqrt.f64 (-.f64 1 (*.f64 v v)))) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (pow.f64 v 4))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8/9 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 (PI.f64) (sqrt.f64 8/9))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3) (pow.f64 (-.f64 1 (*.f64 v v)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) (-.f64 1 (*.f64 v v))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 8/9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 v v)) (/.f64 (PI.f64) (sqrt.f64 8/9))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (neg.f64 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 8/9 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3) (pow.f64 (-.f64 1 (*.f64 v v)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) (-.f64 1 (*.f64 v v)))) 1)))))) |
| 1× | egg-herbie |
| 767× | fma-def_binary64 |
| 731× | times-frac_binary64 |
| 668× | associate-/r*_binary64 |
| 503× | associate-*l*_binary64 |
| 486× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 447 |
| 1 | 146 | 440 |
| 2 | 421 | 376 |
| 3 | 1332 | 327 |
| 4 | 7510 | 327 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64)))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (PI.f64))))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 6)) (PI.f64))) (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (PI.f64)))))) |
(*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64))))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 8) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64))))))) |
(*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64))))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 8) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64))))))) |
| Outputs |
|---|
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64)))) |
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 v v)) (PI.f64)))) |
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 v v)))) |
(*.f64 4/3 (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 v v) (/.f64 (sqrt.f64 1/2) (PI.f64)))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 4/3 (*.f64 4/3 (*.f64 v v)))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (PI.f64))))) |
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 4/3 (+.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 v v)) (PI.f64)) (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (PI.f64))))) |
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 v v)) (/.f64 (pow.f64 v 4) (/.f64 (PI.f64) (sqrt.f64 1/2)))))) |
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 v v) (pow.f64 v 4))))) |
(*.f64 4/3 (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 v v (pow.f64 v 4)) (/.f64 (sqrt.f64 1/2) (PI.f64)))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 6)) (PI.f64))) (*.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (PI.f64)))))) |
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 4/3 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 v v)) (PI.f64)) (*.f64 4/3 (+.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 6)) (PI.f64)) (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (PI.f64)))))) |
(*.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 v v))) (+.f64 (/.f64 (pow.f64 v 4) (/.f64 (PI.f64) (sqrt.f64 1/2))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 6))))) |
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (pow.f64 v 4) (pow.f64 v 6)))))) |
(*.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (pow.f64 v 4) (fma.f64 v v (pow.f64 v 6)))))) |
(*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) |
(*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v)))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (/.f64 -4/3 (PI.f64)) (*.f64 v v))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64))))) |
(*.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))))) |
(*.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -4/3 (*.f64 v v)) (/.f64 -4/3 (pow.f64 v 4)))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))))) |
(fma.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (*.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v)))))) |
(*.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 6))))) |
(fma.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (pow.f64 v 6))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (+.f64 (/.f64 -4/3 (*.f64 v v)) (/.f64 -4/3 (pow.f64 v 6))))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 8) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64))))))) |
(fma.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (fma.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 8))) (*.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))))))) |
(fma.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (*.f64 -4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 6))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 8))))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -4/3 (*.f64 v v)) (/.f64 -4/3 (pow.f64 v 4)))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -4/3 (pow.f64 v 6)) (/.f64 -4/3 (pow.f64 v 8))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (+.f64 (/.f64 -4/3 (*.f64 v v)) (/.f64 -4/3 (pow.f64 v 4))) (+.f64 (/.f64 -4/3 (pow.f64 v 8)) (/.f64 -4/3 (pow.f64 v 6))))) |
(*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) |
(*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v)))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (/.f64 -4/3 (PI.f64)) (*.f64 v v))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64))))) |
(*.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))))) |
(*.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -4/3 (*.f64 v v)) (/.f64 -4/3 (pow.f64 v 4)))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))))) |
(fma.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (*.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v)))))) |
(*.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 6))))) |
(fma.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (/.f64 -4/3 (pow.f64 v 6))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -4/3 (pow.f64 v 4)) (+.f64 (/.f64 -4/3 (*.f64 v v)) (/.f64 -4/3 (pow.f64 v 6))))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 8) (PI.f64)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (*.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64))))))) |
(fma.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (fma.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 8))) (*.f64 -4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))))))) |
(fma.f64 -4/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (*.f64 -4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 6))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 8))))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -4/3 (*.f64 v v)) (/.f64 -4/3 (pow.f64 v 4)))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -4/3 (pow.f64 v 6)) (/.f64 -4/3 (pow.f64 v 8))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (+.f64 (/.f64 -4/3 (*.f64 v v)) (/.f64 -4/3 (pow.f64 v 4))) (+.f64 (/.f64 -4/3 (pow.f64 v 8)) (/.f64 -4/3 (pow.f64 v 6))))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 3 (-.f64 1 (*.f64 v v))) | |
| ✓ | 0.0b | (/.f64 1 (*.f64 3 (-.f64 1 (*.f64 v v)))) |
| 1.0b | (/.f64 (sqrt.f64 1/2) (PI.f64)) |
Compiled 67 to 46 computations (31.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | v | @ | 0 | (/.f64 1 (*.f64 3 (-.f64 1 (*.f64 v v)))) |
| 1.0ms | v | @ | inf | (/.f64 1 (*.f64 3 (-.f64 1 (*.f64 v v)))) |
| 0.0ms | v | @ | -inf | (/.f64 1 (*.f64 3 (-.f64 1 (*.f64 v v)))) |
| 1× | batch-egg-rewrite |
| 810× | pow1_binary64 |
| 759× | add-log-exp_binary64 |
| 758× | log1p-expm1-u_binary64 |
| 758× | expm1-log1p-u_binary64 |
| 744× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 175 | 10 |
| 2 | 2168 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (*.f64 3 (-.f64 1 (*.f64 v v)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/3 (-.f64 1 (*.f64 v v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 (-.f64 1 (*.f64 v v)))) (pow.f64 (cbrt.f64 (/.f64 1/3 (-.f64 1 (*.f64 v v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 (-.f64 1 (*.f64 v v)))) 2) (cbrt.f64 (/.f64 1/3 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/3 (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1/3 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 (-.f64 1 (*.f64 v v)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (pow.f64 (-.f64 1 (*.f64 v v)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (*.f64 v v)) -1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 3 (-.f64 1 (*.f64 v v))) 2)) -1) (pow.f64 (cbrt.f64 (*.f64 3 (-.f64 1 (*.f64 v v)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 3 (-.f64 1 (*.f64 v v)))) -1) (pow.f64 (sqrt.f64 (*.f64 3 (-.f64 1 (*.f64 v v)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (-.f64 1 (pow.f64 v 6))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (-.f64 1 (pow.f64 v 4))) (+.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (-.f64 1 (*.f64 v v))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/3 (-.f64 1 (*.f64 v v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 (-.f64 1 (*.f64 v v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 (-.f64 1 (*.f64 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (pow.f64 (-.f64 1 (*.f64 v v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/3 (-.f64 1 (*.f64 v v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 (-.f64 1 (*.f64 v v))))))))) |
| 1× | egg-herbie |
| 675× | fma-def_binary64 |
| 477× | distribute-rgt-out_binary64 |
| 413× | unswap-sqr_binary64 |
| 364× | distribute-neg-frac_binary64 |
| 281× | associate-/r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 227 |
| 1 | 113 | 207 |
| 2 | 354 | 206 |
| 3 | 1226 | 203 |
| 4 | 5108 | 200 |
| 1× | node limit |
| Inputs |
|---|
1/3 |
(+.f64 1/3 (*.f64 1/3 (pow.f64 v 2))) |
(+.f64 (*.f64 1/3 (pow.f64 v 4)) (+.f64 1/3 (*.f64 1/3 (pow.f64 v 2)))) |
(+.f64 (*.f64 1/3 (pow.f64 v 4)) (+.f64 1/3 (+.f64 (*.f64 1/3 (pow.f64 v 2)) (*.f64 1/3 (pow.f64 v 6))))) |
(/.f64 -1/3 (pow.f64 v 2)) |
(neg.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 v 4))) (*.f64 1/3 (/.f64 1 (pow.f64 v 2))))) |
(neg.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 v 6))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 v 2))) (*.f64 1/3 (/.f64 1 (pow.f64 v 4)))))) |
(neg.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 v 6))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 v 8))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 v 2))) (*.f64 1/3 (/.f64 1 (pow.f64 v 4))))))) |
(/.f64 -1/3 (pow.f64 v 2)) |
(neg.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 v 4))) (*.f64 1/3 (/.f64 1 (pow.f64 v 2))))) |
(neg.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 v 6))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 v 2))) (*.f64 1/3 (/.f64 1 (pow.f64 v 4)))))) |
(neg.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 v 6))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 v 8))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 v 2))) (*.f64 1/3 (/.f64 1 (pow.f64 v 4))))))) |
| Outputs |
|---|
1/3 |
(+.f64 1/3 (*.f64 1/3 (pow.f64 v 2))) |
(+.f64 1/3 (*.f64 1/3 (*.f64 v v))) |
(fma.f64 1/3 (*.f64 v v) 1/3) |
(*.f64 1/3 (fma.f64 v v 1)) |
(+.f64 (*.f64 1/3 (pow.f64 v 4)) (+.f64 1/3 (*.f64 1/3 (pow.f64 v 2)))) |
(fma.f64 1/3 (pow.f64 v 4) (+.f64 1/3 (*.f64 1/3 (*.f64 v v)))) |
(fma.f64 1/3 (pow.f64 v 4) (fma.f64 1/3 (*.f64 v v) 1/3)) |
(*.f64 1/3 (+.f64 (fma.f64 v v 1) (pow.f64 v 4))) |
(fma.f64 1/3 (fma.f64 v v (pow.f64 v 4)) 1/3) |
(+.f64 (*.f64 1/3 (pow.f64 v 4)) (+.f64 1/3 (+.f64 (*.f64 1/3 (pow.f64 v 2)) (*.f64 1/3 (pow.f64 v 6))))) |
(fma.f64 1/3 (pow.f64 v 4) (+.f64 1/3 (*.f64 1/3 (+.f64 (*.f64 v v) (pow.f64 v 6))))) |
(fma.f64 1/3 (pow.f64 v 4) (fma.f64 1/3 (fma.f64 v v (pow.f64 v 6)) 1/3)) |
(fma.f64 1/3 (fma.f64 v v (pow.f64 v 6)) (fma.f64 1/3 (pow.f64 v 4) 1/3)) |
(fma.f64 1/3 (+.f64 (pow.f64 v 4) (fma.f64 v v (pow.f64 v 6))) 1/3) |
(*.f64 (fma.f64 v v 1) (fma.f64 1/3 (pow.f64 v 4) 1/3)) |
(/.f64 -1/3 (pow.f64 v 2)) |
(/.f64 -1/3 (*.f64 v v)) |
(neg.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 v 4))) (*.f64 1/3 (/.f64 1 (pow.f64 v 2))))) |
(neg.f64 (+.f64 (/.f64 1/3 (pow.f64 v 4)) (/.f64 1/3 (*.f64 v v)))) |
(+.f64 (/.f64 -1/3 (pow.f64 v 4)) (/.f64 -1/3 (*.f64 v v))) |
(-.f64 (/.f64 -1/3 (*.f64 v v)) (/.f64 1/3 (pow.f64 v 4))) |
(neg.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 v 6))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 v 2))) (*.f64 1/3 (/.f64 1 (pow.f64 v 4)))))) |
(neg.f64 (+.f64 (/.f64 1/3 (pow.f64 v 6)) (+.f64 (/.f64 1/3 (pow.f64 v 4)) (/.f64 1/3 (*.f64 v v))))) |
(+.f64 (/.f64 -1/3 (pow.f64 v 6)) (+.f64 (/.f64 -1/3 (pow.f64 v 4)) (/.f64 -1/3 (*.f64 v v)))) |
(+.f64 (/.f64 -1/3 (pow.f64 v 4)) (+.f64 (/.f64 -1/3 (pow.f64 v 6)) (/.f64 -1/3 (*.f64 v v)))) |
(+.f64 (/.f64 -1/3 (pow.f64 v 6)) (-.f64 (/.f64 -1/3 (*.f64 v v)) (/.f64 1/3 (pow.f64 v 4)))) |
(neg.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 v 6))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 v 8))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 v 2))) (*.f64 1/3 (/.f64 1 (pow.f64 v 4))))))) |
(neg.f64 (+.f64 (/.f64 1/3 (pow.f64 v 6)) (+.f64 (+.f64 (/.f64 1/3 (pow.f64 v 4)) (/.f64 1/3 (*.f64 v v))) (/.f64 1/3 (pow.f64 v 8))))) |
(-.f64 (/.f64 -1/3 (pow.f64 v 6)) (+.f64 (/.f64 1/3 (pow.f64 v 4)) (+.f64 (/.f64 1/3 (*.f64 v v)) (/.f64 1/3 (pow.f64 v 8))))) |
(+.f64 (+.f64 (/.f64 -1/3 (pow.f64 v 4)) (+.f64 (/.f64 -1/3 (pow.f64 v 6)) (/.f64 -1/3 (*.f64 v v)))) (/.f64 -1/3 (pow.f64 v 8))) |
(-.f64 (+.f64 (/.f64 -1/3 (pow.f64 v 6)) (+.f64 (/.f64 -1/3 (*.f64 v v)) (/.f64 -1/3 (pow.f64 v 8)))) (/.f64 1/3 (pow.f64 v 4))) |
(/.f64 -1/3 (pow.f64 v 2)) |
(/.f64 -1/3 (*.f64 v v)) |
(neg.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 v 4))) (*.f64 1/3 (/.f64 1 (pow.f64 v 2))))) |
(neg.f64 (+.f64 (/.f64 1/3 (pow.f64 v 4)) (/.f64 1/3 (*.f64 v v)))) |
(+.f64 (/.f64 -1/3 (pow.f64 v 4)) (/.f64 -1/3 (*.f64 v v))) |
(-.f64 (/.f64 -1/3 (*.f64 v v)) (/.f64 1/3 (pow.f64 v 4))) |
(neg.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 v 6))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 v 2))) (*.f64 1/3 (/.f64 1 (pow.f64 v 4)))))) |
(neg.f64 (+.f64 (/.f64 1/3 (pow.f64 v 6)) (+.f64 (/.f64 1/3 (pow.f64 v 4)) (/.f64 1/3 (*.f64 v v))))) |
(+.f64 (/.f64 -1/3 (pow.f64 v 6)) (+.f64 (/.f64 -1/3 (pow.f64 v 4)) (/.f64 -1/3 (*.f64 v v)))) |
(+.f64 (/.f64 -1/3 (pow.f64 v 4)) (+.f64 (/.f64 -1/3 (pow.f64 v 6)) (/.f64 -1/3 (*.f64 v v)))) |
(+.f64 (/.f64 -1/3 (pow.f64 v 6)) (-.f64 (/.f64 -1/3 (*.f64 v v)) (/.f64 1/3 (pow.f64 v 4)))) |
(neg.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 v 6))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 v 8))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 v 2))) (*.f64 1/3 (/.f64 1 (pow.f64 v 4))))))) |
(neg.f64 (+.f64 (/.f64 1/3 (pow.f64 v 6)) (+.f64 (+.f64 (/.f64 1/3 (pow.f64 v 4)) (/.f64 1/3 (*.f64 v v))) (/.f64 1/3 (pow.f64 v 8))))) |
(-.f64 (/.f64 -1/3 (pow.f64 v 6)) (+.f64 (/.f64 1/3 (pow.f64 v 4)) (+.f64 (/.f64 1/3 (*.f64 v v)) (/.f64 1/3 (pow.f64 v 8))))) |
(+.f64 (+.f64 (/.f64 -1/3 (pow.f64 v 4)) (+.f64 (/.f64 -1/3 (pow.f64 v 6)) (/.f64 -1/3 (*.f64 v v)))) (/.f64 -1/3 (pow.f64 v 8))) |
(-.f64 (+.f64 (/.f64 -1/3 (pow.f64 v 6)) (+.f64 (/.f64 -1/3 (*.f64 v v)) (/.f64 -1/3 (pow.f64 v 8)))) (/.f64 1/3 (pow.f64 v 4))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (PI.f64) (+.f64 3 (*.f64 (*.f64 v (neg.f64 v)) 3))) |
| ✓ | 0.1b | (*.f64 (*.f64 v (neg.f64 v)) 3) |
| ✓ | 1.0b | (/.f64 (pow.f64 2 -1/2) (*.f64 (PI.f64) (+.f64 3 (*.f64 (*.f64 v (neg.f64 v)) 3)))) |
Compiled 70 to 42 computations (40% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | v | @ | 0 | (/.f64 (pow.f64 2 -1/2) (*.f64 (PI.f64) (+.f64 3 (*.f64 (*.f64 v (neg.f64 v)) 3)))) |
| 1.0ms | v | @ | inf | (/.f64 (pow.f64 2 -1/2) (*.f64 (PI.f64) (+.f64 3 (*.f64 (*.f64 v (neg.f64 v)) 3)))) |
| 1.0ms | v | @ | inf | (*.f64 (*.f64 v (neg.f64 v)) 3) |
| 1.0ms | v | @ | inf | (*.f64 (PI.f64) (+.f64 3 (*.f64 (*.f64 v (neg.f64 v)) 3))) |
| 0.0ms | v | @ | 0 | (*.f64 (*.f64 v (neg.f64 v)) 3) |
| 1× | batch-egg-rewrite |
| 659× | log-prod_binary64 |
| 401× | prod-diff_binary64 |
| 336× | pow2_binary64 |
| 232× | expm1-udef_binary64 |
| 232× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 47 |
| 1 | 298 | 36 |
| 2 | 4092 | 36 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 2 -1/2) (*.f64 (PI.f64) (+.f64 3 (*.f64 (*.f64 v (neg.f64 v)) 3)))) |
(*.f64 (*.f64 v (neg.f64 v)) 3) |
(*.f64 (PI.f64) (+.f64 3 (*.f64 (*.f64 v (neg.f64 v)) 3))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3 (fma.f64 v v 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3 (fma.f64 v v 1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3 (fma.f64 v v 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3 (fma.f64 v v 1)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3 (fma.f64 v v 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3 (fma.f64 v v 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1 (PI.f64)) (*.f64 3 (fma.f64 v v 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3 (fma.f64 v v 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3 (fma.f64 v v 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3 (fma.f64 v v 1)))) (cbrt.f64 (/.f64 1/2 (pow.f64 (*.f64 (PI.f64) (*.f64 3 (fma.f64 v v 1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 (pow.f64 (*.f64 (PI.f64) (*.f64 3 (fma.f64 v v 1))) 2))) (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3 (fma.f64 v v 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 1 (PI.f64)) (*.f64 3 (fma.f64 v v 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3 (fma.f64 v v 1)))) (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3 (fma.f64 v v 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/4) (*.f64 (pow.f64 2 -1/4) (/.f64 (/.f64 1 (PI.f64)) 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| 1× | egg-herbie |
| 772× | fma-def_binary64 |
| 731× | times-frac_binary64 |
| 675× | associate-/r*_binary64 |
| 569× | associate-*l*_binary64 |
| 501× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 702 |
| 1 | 155 | 677 |
| 2 | 443 | 595 |
| 3 | 1401 | 546 |
| 4 | 7615 | 546 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(+.f64 (*.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64)))) |
(+.f64 (*.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (PI.f64))))) |
(+.f64 (*.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 6)) (PI.f64))) (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (PI.f64)))))) |
(*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64))))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 8) (PI.f64))))))) |
(*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64))))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 8) (PI.f64))))))) |
(*.f64 -3 (pow.f64 v 2)) |
(*.f64 -3 (pow.f64 v 2)) |
(*.f64 -3 (pow.f64 v 2)) |
(*.f64 -3 (pow.f64 v 2)) |
(*.f64 -3 (pow.f64 v 2)) |
(*.f64 -3 (pow.f64 v 2)) |
(*.f64 -3 (pow.f64 v 2)) |
(*.f64 -3 (pow.f64 v 2)) |
(*.f64 -3 (pow.f64 v 2)) |
(*.f64 -3 (pow.f64 v 2)) |
(*.f64 -3 (pow.f64 v 2)) |
(*.f64 -3 (pow.f64 v 2)) |
(*.f64 3 (PI.f64)) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
| Outputs |
|---|
(*.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(+.f64 (*.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64)))) |
(*.f64 1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 v v)) (PI.f64)))) |
(*.f64 1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 v v)))) |
(*.f64 1/3 (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 v v) (/.f64 (sqrt.f64 1/2) (PI.f64)))) |
(*.f64 1/3 (*.f64 (+.f64 (*.f64 v v) 1) (/.f64 (sqrt.f64 1/2) (PI.f64)))) |
(+.f64 (*.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (PI.f64))))) |
(fma.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 1/3 (+.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 v v)) (PI.f64)) (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (PI.f64))))) |
(*.f64 1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 v v)) (/.f64 (pow.f64 v 4) (/.f64 (PI.f64) (sqrt.f64 1/2)))))) |
(*.f64 1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 v v) (pow.f64 v 4))))) |
(*.f64 1/3 (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 v v (pow.f64 v 4)) (/.f64 (sqrt.f64 1/2) (PI.f64)))) |
(+.f64 (*.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 6)) (PI.f64))) (*.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (PI.f64)))))) |
(fma.f64 1/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/3 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 v v)) (PI.f64)) (*.f64 1/3 (+.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 6)) (PI.f64)) (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (PI.f64)))))) |
(*.f64 1/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 v v))) (+.f64 (/.f64 (pow.f64 v 4) (/.f64 (PI.f64) (sqrt.f64 1/2))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 6))))) |
(*.f64 1/3 (+.f64 (fma.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 v v) (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (pow.f64 v 4) (pow.f64 v 6))))) |
(*.f64 1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (pow.f64 v 4) (fma.f64 v v (pow.f64 v 6)))))) |
(*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) |
(*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v)))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (/.f64 -1/3 (PI.f64)) (*.f64 v v))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64))))) |
(*.f64 -1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -1/3 (*.f64 v v)) (/.f64 -1/3 (pow.f64 v 4)))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 v v)) (+.f64 -1/3 (/.f64 -1/3 (*.f64 v v)))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))))) |
(fma.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6))) (*.f64 -1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4)))))) |
(*.f64 -1/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4)))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 6)))) |
(fma.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -1/3 (pow.f64 v 6)) (/.f64 -1/3 (pow.f64 v 4))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -1/3 (*.f64 v v)) (+.f64 (/.f64 -1/3 (pow.f64 v 6)) (/.f64 -1/3 (pow.f64 v 4))))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 8) (PI.f64))))))) |
(fma.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6))) (fma.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (*.f64 -1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 8))))))) |
(fma.f64 -1/3 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 6)) (*.f64 -1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 8)))))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -1/3 (pow.f64 v 6)) (/.f64 -1/3 (pow.f64 v 4)))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -1/3 (pow.f64 v 8)) (/.f64 -1/3 (*.f64 v v))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (+.f64 (/.f64 -1/3 (*.f64 v v)) (/.f64 -1/3 (pow.f64 v 4))) (+.f64 (/.f64 -1/3 (pow.f64 v 8)) (/.f64 -1/3 (pow.f64 v 6))))) |
(*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) |
(*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v)))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (/.f64 -1/3 (PI.f64)) (*.f64 v v))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64))))) |
(*.f64 -1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -1/3 (*.f64 v v)) (/.f64 -1/3 (pow.f64 v 4)))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 v v)) (+.f64 -1/3 (/.f64 -1/3 (*.f64 v v)))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))))) |
(fma.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6))) (*.f64 -1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4)))))) |
(*.f64 -1/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4)))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 6)))) |
(fma.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -1/3 (pow.f64 v 6)) (/.f64 -1/3 (pow.f64 v 4))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -1/3 (*.f64 v v)) (+.f64 (/.f64 -1/3 (pow.f64 v 6)) (/.f64 -1/3 (pow.f64 v 4))))) |
(+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 6) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 8) (PI.f64))))))) |
(fma.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 6))) (fma.f64 -1/3 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (*.f64 -1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 8))))))) |
(fma.f64 -1/3 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 6)) (*.f64 -1/3 (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (*.f64 v v))) (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 8)))))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -1/3 (pow.f64 v 6)) (/.f64 -1/3 (pow.f64 v 4)))) (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 -1/3 (pow.f64 v 8)) (/.f64 -1/3 (*.f64 v v))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (+.f64 (/.f64 -1/3 (*.f64 v v)) (/.f64 -1/3 (pow.f64 v 4))) (+.f64 (/.f64 -1/3 (pow.f64 v 8)) (/.f64 -1/3 (pow.f64 v 6))))) |
(*.f64 -3 (pow.f64 v 2)) |
(*.f64 (*.f64 v v) -3) |
(*.f64 v (*.f64 v -3)) |
(*.f64 -3 (pow.f64 v 2)) |
(*.f64 (*.f64 v v) -3) |
(*.f64 v (*.f64 v -3)) |
(*.f64 -3 (pow.f64 v 2)) |
(*.f64 (*.f64 v v) -3) |
(*.f64 v (*.f64 v -3)) |
(*.f64 -3 (pow.f64 v 2)) |
(*.f64 (*.f64 v v) -3) |
(*.f64 v (*.f64 v -3)) |
(*.f64 -3 (pow.f64 v 2)) |
(*.f64 (*.f64 v v) -3) |
(*.f64 v (*.f64 v -3)) |
(*.f64 -3 (pow.f64 v 2)) |
(*.f64 (*.f64 v v) -3) |
(*.f64 v (*.f64 v -3)) |
(*.f64 -3 (pow.f64 v 2)) |
(*.f64 (*.f64 v v) -3) |
(*.f64 v (*.f64 v -3)) |
(*.f64 -3 (pow.f64 v 2)) |
(*.f64 (*.f64 v v) -3) |
(*.f64 v (*.f64 v -3)) |
(*.f64 -3 (pow.f64 v 2)) |
(*.f64 (*.f64 v v) -3) |
(*.f64 v (*.f64 v -3)) |
(*.f64 -3 (pow.f64 v 2)) |
(*.f64 (*.f64 v v) -3) |
(*.f64 v (*.f64 v -3)) |
(*.f64 -3 (pow.f64 v 2)) |
(*.f64 (*.f64 v v) -3) |
(*.f64 v (*.f64 v -3)) |
(*.f64 -3 (pow.f64 v 2)) |
(*.f64 (*.f64 v v) -3) |
(*.f64 v (*.f64 v -3)) |
(*.f64 3 (PI.f64)) |
(*.f64 (PI.f64) 3) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3)) |
(*.f64 (PI.f64) (+.f64 3 (*.f64 v (*.f64 v -3)))) |
(*.f64 (PI.f64) (fma.f64 v (*.f64 v -3) 3)) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3)) |
(*.f64 (PI.f64) (+.f64 3 (*.f64 v (*.f64 v -3)))) |
(*.f64 (PI.f64) (fma.f64 v (*.f64 v -3) 3)) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3)) |
(*.f64 (PI.f64) (+.f64 3 (*.f64 v (*.f64 v -3)))) |
(*.f64 (PI.f64) (fma.f64 v (*.f64 v -3) 3)) |
(*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) |
(*.f64 (*.f64 (PI.f64) (*.f64 v v)) -3) |
(*.f64 (PI.f64) (*.f64 v (*.f64 v -3))) |
(*.f64 (*.f64 v v) (*.f64 (PI.f64) -3)) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3)) |
(*.f64 (PI.f64) (+.f64 3 (*.f64 v (*.f64 v -3)))) |
(*.f64 (PI.f64) (fma.f64 v (*.f64 v -3) 3)) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3)) |
(*.f64 (PI.f64) (+.f64 3 (*.f64 v (*.f64 v -3)))) |
(*.f64 (PI.f64) (fma.f64 v (*.f64 v -3) 3)) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3)) |
(*.f64 (PI.f64) (+.f64 3 (*.f64 v (*.f64 v -3)))) |
(*.f64 (PI.f64) (fma.f64 v (*.f64 v -3) 3)) |
(*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) |
(*.f64 (*.f64 (PI.f64) (*.f64 v v)) -3) |
(*.f64 (PI.f64) (*.f64 v (*.f64 v -3))) |
(*.f64 (*.f64 v v) (*.f64 (PI.f64) -3)) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3)) |
(*.f64 (PI.f64) (+.f64 3 (*.f64 v (*.f64 v -3)))) |
(*.f64 (PI.f64) (fma.f64 v (*.f64 v -3) 3)) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3)) |
(*.f64 (PI.f64) (+.f64 3 (*.f64 v (*.f64 v -3)))) |
(*.f64 (PI.f64) (fma.f64 v (*.f64 v -3) 3)) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (PI.f64))) (*.f64 3 (PI.f64))) |
(fma.f64 -3 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (PI.f64) 3)) |
(*.f64 (PI.f64) (+.f64 3 (*.f64 v (*.f64 v -3)))) |
(*.f64 (PI.f64) (fma.f64 v (*.f64 v -3) 3)) |
Compiled 12765 to 9615 computations (24.7% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 679 | 2 | 681 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 4 | 6 | 10 |
| Total | 684 | 8 | 692 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.6b | (/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) |
| ✓ | 0.0b | (/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) |
| ✓ | 1.0b | (/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))) |
| ✓ | 0.0b | (*.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 1 (fma.f64 v v -1))) |
| 1.5b | (/.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 (PI.f64) (/.f64 1 (-.f64 1 (*.f64 v v)))))) | |
| ✓ | 1.5b | (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
| 1.5b | (/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 3/4 (/.f64 (*.f64 v v) 4/3)) (PI.f64))) | |
| ✓ | 1.5b | (*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 (*.f64 3 (-.f64 1 (*.f64 v v))))) 4) |
Compiled 116 to 97 computations (16.4% saved)
| Inputs |
|---|
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) |
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) |
(/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 3/4 (/.f64 (*.f64 v v) 4/3)) (PI.f64))) |
(/.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64)) (-.f64 1 (*.f64 v v))) |
(/.f64 (sqrt.f64 1/2) (/.f64 (PI.f64) (/.f64 4/3 (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (pow.f64 2 -1/2)) |
(/.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 (PI.f64) (/.f64 1 (-.f64 1 (*.f64 v v)))))) |
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 2))) |
(*.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))) 4) |
(*.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 (PI.f64) (+.f64 3 (*.f64 (*.f64 v (neg.f64 v)) 3)))) 4) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 (*.f64 3 (-.f64 1 (*.f64 v v))))) 4) |
(*.f64 (*.f64 (/.f64 1 (*.f64 (PI.f64) 3)) (/.f64 (sqrt.f64 1/2) (-.f64 1 (*.f64 v v)))) 4) |
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))) |
(/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) |
(/.f64 -4/3 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (fma.f64 v v -1))) |
(*.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 1 (fma.f64 v v -1))) |
| Outputs |
|---|
(/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) |
7 calls:
| 153.0ms | (*.f64 v v) |
| 11.0ms | v |
| 4.0ms | (*.f64 v v) |
| 3.0ms | (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) |
| 3.0ms | (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | v |
| 0.0b | 1 | (/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))) |
| 0.0b | 1 | (/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))) |
| 0.0b | 1 | (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) |
| 0.0b | 1 | (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) |
| 0.0b | 1 | (*.f64 v v) |
| 0.0b | 1 | (*.f64 v v) |
Compiled 320 to 233 computations (27.2% saved)
| Inputs |
|---|
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) |
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) |
(/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 3/4 (/.f64 (*.f64 v v) 4/3)) (PI.f64))) |
(/.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64)) (-.f64 1 (*.f64 v v))) |
(/.f64 (sqrt.f64 1/2) (/.f64 (PI.f64) (/.f64 4/3 (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (pow.f64 2 -1/2)) |
(/.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 (PI.f64) (/.f64 1 (-.f64 1 (*.f64 v v)))))) |
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 2))) |
(*.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))) 4) |
(*.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 (PI.f64) (+.f64 3 (*.f64 (*.f64 v (neg.f64 v)) 3)))) 4) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 (*.f64 3 (-.f64 1 (*.f64 v v))))) 4) |
(*.f64 (*.f64 (/.f64 1 (*.f64 (PI.f64) 3)) (/.f64 (sqrt.f64 1/2) (-.f64 1 (*.f64 v v)))) 4) |
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))) |
| Outputs |
|---|
(*.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (pow.f64 2 -1/2)) |
6 calls:
| 199.0ms | (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) |
| 39.0ms | v |
| 4.0ms | (*.f64 v v) |
| 3.0ms | (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) |
| 3.0ms | (/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))) |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 1 | v |
| 0.6b | 1 | (/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))) |
| 0.6b | 1 | (/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))) |
| 0.6b | 1 | (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) |
| 0.6b | 1 | (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) |
| 0.6b | 1 | (*.f64 v v) |
Compiled 266 to 196 computations (26.3% saved)
Total -1.0b remaining (-170.8%)
Threshold costs -1.0b (-170.8%)
| Inputs |
|---|
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) |
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(/.f64 -4/3 (*.f64 (sqrt.f64 2) (neg.f64 (PI.f64)))) |
(/.f64 (sqrt.f64 1/2) (*.f64 (-.f64 3/4 (/.f64 (*.f64 v v) 4/3)) (PI.f64))) |
(/.f64 (/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64)) (-.f64 1 (*.f64 v v))) |
(/.f64 (sqrt.f64 1/2) (/.f64 (PI.f64) (/.f64 4/3 (-.f64 1 (*.f64 v v))))) |
| Outputs |
|---|
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) |
2 calls:
| 5.0ms | v |
| 3.0ms | (*.f64 v v) |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 1 | v |
| 0.6b | 1 | (*.f64 v v) |
Compiled 62 to 46 computations (25.8% saved)
| 1× | egg-herbie |
| 7× | *-commutative_binary64 |
| 3× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 54 |
| 1 | 38 | 54 |
| 2 | 44 | 54 |
| 3 | 48 | 54 |
| 4 | 50 | 54 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) |
(*.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (pow.f64 2 -1/2)) |
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) |
| Outputs |
|---|
(/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) |
(*.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (pow.f64 2 -1/2)) |
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 2))) |
Compiled 38 to 32 computations (15.8% saved)
| 1× | egg-herbie |
| 1332× | fma-def_binary64 |
| 576× | fma-neg_binary64 |
| 530× | distribute-rgt-in_binary64 |
| 496× | unsub-neg_binary64 |
| 430× | distribute-lft-in_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 31 |
| 1 | 42 | 28 |
| 2 | 109 | 26 |
| 3 | 321 | 26 |
| 4 | 967 | 26 |
| 5 | 1747 | 24 |
| 6 | 3707 | 24 |
| 7 | 6458 | 24 |
| 1× | node limit |
Compiled 611 to 485 computations (20.6% saved)
Compiled 36 to 28 computations (22.2% saved)
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