Time bar (total: 14.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 50% | 0% | 0% | 50% | 0% | 3 |
| 50% | 25% | 25% | 0% | 0% | 50% | 0% | 4 |
| 75% | 37.5% | 12.5% | 0% | 0% | 50% | 0% | 5 |
| 87.5% | 43.7% | 6.2% | 0% | 0% | 50% | 0% | 6 |
| 93.8% | 46.9% | 3.1% | 0% | 0% | 50% | 0% | 7 |
| 96.9% | 48.4% | 1.6% | 0% | 0% | 50% | 0% | 8 |
| 98.4% | 49.2% | 0.8% | 0% | 0% | 50% | 0% | 9 |
| 99.2% | 49.6% | 0.4% | 0% | 0% | 50% | 0% | 10 |
| 99.6% | 49.8% | 0.2% | 0% | 0% | 50% | 0% | 11 |
| 99.8% | 49.9% | 0.1% | 0% | 0% | 50% | 0% | 12 |
Compiled 22 to 17 computations (22.7% saved)
| 877.0ms | 8256× | body | 256 | valid |
| 1.0ms | 8× | body | 256 | invalid |
| 2× | egg-herbie |
| 934× | rational.json-simplify-2 |
| 882× | rational.json-simplify-59 |
| 842× | rational.json-simplify-44 |
| 790× | rational.json-simplify-51 |
| 784× | rational.json-simplify-19 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 61 |
| 1 | 33 | 61 |
| 2 | 64 | 55 |
| 3 | 157 | 55 |
| 4 | 602 | 55 |
| 5 | 3327 | 55 |
| 6 | 5707 | 55 |
| 7 | 7028 | 55 |
| 8 | 7923 | 55 |
| 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 (/.f64 4 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 4 (*.f64 (*.f64 3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
Compiled 22 to 17 computations (22.7% saved)
| 1× | egg-herbie |
| 934× | rational.json-simplify-2 |
| 882× | rational.json-simplify-59 |
| 842× | rational.json-simplify-44 |
| 790× | rational.json-simplify-51 |
| 784× | rational.json-simplify-19 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 61 |
| 1 | 33 | 61 |
| 2 | 64 | 55 |
| 3 | 157 | 55 |
| 4 | 602 | 55 |
| 5 | 3327 | 55 |
| 6 | 5707 | 55 |
| 7 | 7028 | 55 |
| 8 | 7923 | 55 |
| 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 (/.f64 4 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 4 (*.f64 (*.f64 3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
Compiled 79 to 56 computations (29.1% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 3 | 4 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 4 | 5 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| ▶ | 0.0b | (/.f64 (/.f64 4 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| ▶ | 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 61 to 48 computations (21.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))) |
| ✓ | 0.0b | (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) |
| ✓ | 0.1b | (*.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)))))) |
| 1.0ms | 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 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) |
| 1.0ms | v | @ | inf | (*.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× | batch-egg-rewrite |
| 1578× | exponential.json-3 |
| 1578× | rational.json-1 |
| 1578× | rational.json-2 |
| 1578× | rational.json-4 |
| 1578× | rational.json-3 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 152 |
| 1 | 141 | 152 |
| 2 | 306 | 146 |
| 3 | 891 | 146 |
| 4 | 3820 | 146 |
| 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)) |
(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) |
(sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (/.f64 1 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (-.f64 1 (*.f64 v v))) (/.f64 1 (*.f64 3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) (+.f64 (*.f64 v v) -1)) (/.f64 1 (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))) (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) (/.f64 4 (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (*.f64 2 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (/.f64 4/3 (PI.f64)) (+.f64 (*.f64 v v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 v (*.f64 v 6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 v (*.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 v (*.f64 v 6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 v (*.f64 v 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 v v) 12) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 v v) 12)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 v v) 12))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (*.f64 v 6)) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 3/2)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) 6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 4 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 4 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 6))) (/.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 6)))) (*.f64 (/.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 6))) (/.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 6))) (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) (*.f64 (/.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 6))) (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 6)))) (*.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) (*.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/2) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1))))) |
| 1× | egg-herbie |
| 1484× | rational.json-simplify-35 |
| 1414× | rational.json-simplify-49 |
| 1272× | rational.json-simplify-53 |
| 1062× | rational.json-simplify-39 |
| 900× | rational.json-simplify-2 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 330 | 7293 |
| 1 | 846 | 7109 |
| 2 | 2295 | 7007 |
| 3 | 5814 | 7007 |
| 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)))))) |
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(/.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 4 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v)))))) 4) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 4 (*.f64 (PI.f64) (*.f64 3 (-.f64 1 (*.f64 v v))))))) 8) |
(/.f64 (+.f64 (/.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 6))) (/.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 6)))) (*.f64 (/.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 6))) (/.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 6))))) |
(/.f64 (+.f64 (/.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 6))) (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) (*.f64 (/.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 6))) (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))) |
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 6)))) (*.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 6))))) |
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) (*.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))) |
(pow.f64 (*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) 1) |
(+.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 0) |
(+.f64 0 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(+.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/2) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/2)) |
(-.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 0) |
(*.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 2 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/2)) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1) |
(*.f64 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1/2) |
(*.f64 1/2 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/2) 2) |
(/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1) |
(/.f64 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2) |
(/.f64 (*.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 4) |
(/.f64 (*.f64 2 (*.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 8) |
(pow.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1) |
| 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 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) |
(*.f64 4/3 (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.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 (pow.f64 v 2) (+.f64 (/.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 (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 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 (pow.f64 v 4) (*.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 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))) 4/3)))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (+.f64 (*.f64 (pow.f64 v 4) (+.f64 (/.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 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))))) |
(*.f64 4/3 (+.f64 (*.f64 (pow.f64 v 4) (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.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 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (pow.f64 v 2) (+.f64 (/.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 (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 (*.f64 (pow.f64 v 4) (*.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 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))) 4/3)) (+.f64 (*.f64 (pow.f64 v 6) (*.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 3/4 (/.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)) 1/2))) (*.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))))))) 4/3)) (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (*.f64 (pow.f64 v 2) (+.f64 (/.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 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 3/4 (/.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 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 4/3 (+.f64 (*.f64 (pow.f64 v 6) (+.f64 (/.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 (-.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 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2))) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) (*.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))))))))) |
(+.f64 (*.f64 4/3 (+.f64 (*.f64 (pow.f64 v 4) (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.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 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (pow.f64 v 2) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64))))))))) (*.f64 (+.f64 (/.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 (-.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 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2))) (*.f64 (sqrt.f64 1/2) (PI.f64))))))) (*.f64 4/3 (pow.f64 v 6)))) |
(*.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 (/.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 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))) (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))) (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))) (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 -1/6))) (neg.f64 (/.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 -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 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (+.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 (PI.f64) (sqrt.f64 -1/6)))))) (pow.f64 v 7))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))) (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))) (+.f64 (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (*.f64 4/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (+.f64 (neg.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)))))) (pow.f64 v 7))))) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))) (*.f64 4/3 (+.f64 (/.f64 (+.f64 (+.f64 (*.f64 1/36 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 -1/6))) (neg.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))))) (pow.f64 v 7)) (/.f64 (+.f64 (*.f64 1/36 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))))) |
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(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 6)))) (*.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) 6))))) |
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(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 6 (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 4) (/.f64 2 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) |
(+.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) 3/2))) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 2/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) |
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) (*.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))) |
(+.f64 (/.f64 1 (/.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 1 (/.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(+.f64 (/.f64 2 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (/.f64 2 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) |
(+.f64 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 2/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 2/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) |
(pow.f64 (*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) 1) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 3)) |
(*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(+.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 0) |
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) |
(+.f64 0 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) |
(+.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/2) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/2)) |
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) |
(-.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 0) |
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) |
(*.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) |
(*.f64 2 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/2)) |
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1) |
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) |
(*.f64 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1/2) |
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) |
(*.f64 1/2 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/2) 2) |
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) |
(/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1) |
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) |
(/.f64 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2) |
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) |
(/.f64 (*.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 4) |
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) |
(/.f64 (*.f64 2 (*.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 8) |
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) |
(pow.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1) |
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (/.f64 4 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| ✓ | 0.0b | (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) |
| ✓ | 0.0b | (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) |
| ✓ | 0.1b | (*.f64 v (*.f64 v 6)) |
Compiled 82 to 54 computations (34.1% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | v | @ | 0 | (/.f64 (/.f64 4 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| 0.0ms | v | @ | inf | (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) |
| 0.0ms | v | @ | 0 | (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) |
| 0.0ms | v | @ | inf | (/.f64 (/.f64 4 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| 0.0ms | v | @ | -inf | (/.f64 (/.f64 4 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| 1× | batch-egg-rewrite |
| 1874× | exponential.json-3 |
| 1874× | rational.json-1 |
| 1874× | rational.json-2 |
| 1874× | rational.json-4 |
| 1874× | rational.json-3 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 124 |
| 1 | 152 | 118 |
| 2 | 370 | 118 |
| 3 | 1306 | 118 |
| 4 | 4841 | 118 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 v (*.f64 v 6)) |
(sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) |
(*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) |
(/.f64 (/.f64 4 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 v (*.f64 v 6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 v (*.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 v (*.f64 v 6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 v (*.f64 v 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 v (*.f64 v 12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 v (*.f64 v 6)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v 6)) 4) (*.f64 (*.f64 v (*.f64 v 6)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (*.f64 v 6)) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 6 (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 6 (PI.f64)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 6 (PI.f64))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (*.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (*.f64 1/2 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 (/.f64 1/3 (PI.f64)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (/.f64 (/.f64 1/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (PI.f64)) (*.f64 (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (-.f64 1 (*.f64 v v)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (PI.f64)) (*.f64 (/.f64 -1 (+.f64 (*.f64 v v) -1)) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 4) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 1 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 6 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 4/3 (PI.f64))) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 2 (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 6 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (-.f64 1 (*.f64 v v))) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 3 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 -1 (+.f64 (*.f64 v v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (-.f64 1 (*.f64 v v)))) (/.f64 1/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (PI.f64)) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 3 (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (/.f64 1 (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 1 (neg.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 4/3 (PI.f64))) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (+.f64 (*.f64 v v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (neg.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (+.f64 (*.f64 v v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (*.f64 v v) -1)) (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (PI.f64)) (/.f64 4 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (-.f64 1 (*.f64 v v)))) (/.f64 4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 2 (/.f64 (/.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 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1))))) |
| 1× | egg-herbie |
| 1272× | rational.json-simplify-51 |
| 1272× | rational.json-simplify-35 |
| 1094× | rational.json-simplify-46 |
| 1072× | rational.json-simplify-53 |
| 860× | rational.json-simplify-43 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 299 | 6327 |
| 1 | 753 | 6247 |
| 2 | 1868 | 6133 |
| 3 | 5760 | 6097 |
| 1× | node limit |
| Inputs |
|---|
(*.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 (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))) |
(*.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 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 4) (+.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 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.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 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 v 6) (+.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 (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 (*.f64 4/3 (*.f64 (pow.f64 v 4) (+.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 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 1 (*.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 (*.f64 v (*.f64 v 6)) 0) |
(+.f64 0 (*.f64 v (*.f64 v 6))) |
(-.f64 (*.f64 v (*.f64 v 6)) 0) |
(/.f64 (*.f64 v (*.f64 v 6)) 1) |
(/.f64 (*.f64 v (*.f64 v 12)) 2) |
(/.f64 (*.f64 (*.f64 v (*.f64 v 6)) 4) 4) |
(/.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v 6)) 4) (*.f64 (*.f64 v (*.f64 v 6)) 4)) 8) |
(pow.f64 (*.f64 v (*.f64 v 6)) 1) |
(+.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 0) |
(+.f64 0 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(-.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 0) |
(*.f64 2 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 2)) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1) |
(*.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1/2) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4) 1/4) |
(*.f64 1/2 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1) |
(/.f64 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4)) 8) |
(pow.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1) |
(+.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) 0) |
(+.f64 0 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v)))) |
(-.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) 0) |
(/.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) 1) |
(/.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 6 (PI.f64))) 2) |
(/.f64 (*.f64 2 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 6 (PI.f64)))) 4) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 6 (PI.f64))))) 8) |
(pow.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) 1) |
(+.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0) |
(+.f64 0 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(-.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0) |
(*.f64 2 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 2 (/.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2)) |
(*.f64 1 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1) |
(*.f64 (*.f64 2 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (*.f64 2 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (*.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1)) |
(*.f64 (*.f64 2 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (*.f64 1/2 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 (/.f64 1/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) |
(*.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (/.f64 (/.f64 1/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 1)) |
(*.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 4/3 (PI.f64)) (*.f64 (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (-.f64 1 (*.f64 v v)))) 1)) |
(*.f64 (/.f64 4/3 (PI.f64)) (*.f64 (/.f64 -1 (+.f64 (*.f64 v v) -1)) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (*.f64 2 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 1/2) |
(*.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 4) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4))) |
(*.f64 (*.f64 2 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 1 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 6 (PI.f64))))) |
(*.f64 (*.f64 2 (/.f64 4/3 (PI.f64))) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 2 (-.f64 1 (*.f64 v v)))))) |
(*.f64 (/.f64 8 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 6 (PI.f64))))) |
(*.f64 (/.f64 4 (-.f64 1 (*.f64 v v))) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 3 (PI.f64))))) |
(*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 -1 (+.f64 (*.f64 v v) -1))) |
(*.f64 (/.f64 4 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (-.f64 1 (*.f64 v v)))) (/.f64 1/3 (PI.f64))) |
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 3 (-.f64 1 (*.f64 v v)))))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) |
(*.f64 1/2 (*.f64 2 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (neg.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (/.f64 1 (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (neg.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 1 (neg.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v)))))) |
(*.f64 (neg.f64 (/.f64 4/3 (PI.f64))) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (+.f64 (*.f64 v v) -1)))) |
(*.f64 -1 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 -1 (/.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (neg.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v)))))) |
(*.f64 -1 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (+.f64 (*.f64 v v) -1)))) |
(*.f64 (/.f64 -1 (+.f64 (*.f64 v v) -1)) (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 1/3 (PI.f64)) (/.f64 4 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 (/.f64 1/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (-.f64 1 (*.f64 v v)))) (/.f64 4/3 (PI.f64))) |
(*.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 2 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(pow.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1) |
| Outputs |
|---|
(*.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) |
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(/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))) (-.f64 1 (*.f64 v v)))) |
(/.f64 4/3 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))) |
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) |
(*.f64 (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 4) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4))) |
(*.f64 (*.f64 4 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (/.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))) 4)) |
(*.f64 4 (*.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (/.f64 1/4 (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))) |
(*.f64 (*.f64 2 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 1 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 6 (PI.f64))))) |
(*.f64 (*.f64 2 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))))) (/.f64 1 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 6 (PI.f64))))) |
(*.f64 2 (*.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) (/.f64 1/6 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) |
(*.f64 (*.f64 2 (/.f64 4/3 (PI.f64))) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 2 (-.f64 1 (*.f64 v v)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))) (-.f64 1 (*.f64 v v)))) |
(/.f64 4/3 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))) |
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) |
(*.f64 (/.f64 8 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 6 (PI.f64))))) |
(*.f64 (/.f64 1 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 6 (PI.f64)))) (/.f64 8 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))))) |
(*.f64 (/.f64 1/6 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (/.f64 8 (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))) |
(*.f64 (/.f64 4 (-.f64 1 (*.f64 v v))) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 3 (PI.f64))))) |
(*.f64 (/.f64 4 (-.f64 1 (*.f64 v v))) (/.f64 1 (*.f64 (*.f64 3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v))))))) |
(*.f64 (/.f64 4 (-.f64 1 (*.f64 v v))) (/.f64 1/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))) |
(*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 -1 (+.f64 (*.f64 v v) -1))) |
(/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))) (-.f64 1 (*.f64 v v)))) |
(/.f64 4/3 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))) |
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) |
(*.f64 (/.f64 4 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (-.f64 1 (*.f64 v v)))) (/.f64 1/3 (PI.f64))) |
(*.f64 (/.f64 1/3 (PI.f64)) (/.f64 4 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 1/3 (PI.f64)) (/.f64 4 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 1/3 (PI.f64)) (/.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))) |
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 3 (-.f64 1 (*.f64 v v)))))) |
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))) (*.f64 3 (-.f64 1 (*.f64 v v)))))) |
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) |
(/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))) (-.f64 1 (*.f64 v v)))) |
(/.f64 4/3 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))) |
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) |
(*.f64 1/2 (*.f64 2 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))) (-.f64 1 (*.f64 v v)))) |
(/.f64 4/3 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))) |
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) |
(*.f64 (neg.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (/.f64 1 (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))) (-.f64 1 (*.f64 v v)))) |
(/.f64 4/3 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))) |
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) |
(*.f64 (neg.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 1 (neg.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))) (-.f64 1 (*.f64 v v)))) |
(/.f64 4/3 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))) |
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) |
(*.f64 (neg.f64 (/.f64 4/3 (PI.f64))) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (+.f64 (*.f64 v v) -1)))) |
(/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))) (-.f64 1 (*.f64 v v)))) |
(/.f64 4/3 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))) |
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) |
(*.f64 -1 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))) (-.f64 1 (*.f64 v v)))) |
(/.f64 4/3 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))) |
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) |
(*.f64 -1 (/.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (neg.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))) (-.f64 1 (*.f64 v v)))) |
(/.f64 4/3 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))) |
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) |
(*.f64 -1 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (+.f64 (*.f64 v v) -1)))) |
(/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))) (-.f64 1 (*.f64 v v)))) |
(/.f64 4/3 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))) |
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) |
(*.f64 (/.f64 -1 (+.f64 (*.f64 v v) -1)) (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))) (-.f64 1 (*.f64 v v)))) |
(/.f64 4/3 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))) |
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) |
(*.f64 (/.f64 1/3 (PI.f64)) (/.f64 4 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 1/3 (PI.f64)) (/.f64 4 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 1/3 (PI.f64)) (/.f64 4 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 1/3 (PI.f64)) (/.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))) |
(*.f64 (/.f64 (/.f64 1/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))) (-.f64 1 (*.f64 v v)))) |
(/.f64 4/3 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))) |
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) |
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (-.f64 1 (*.f64 v v)))) (/.f64 4/3 (PI.f64))) |
(/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))) (-.f64 1 (*.f64 v v)))) |
(/.f64 4/3 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))) |
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) |
(*.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 2 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))) |
(*.f64 (*.f64 2 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))))) |
(*.f64 2 (*.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))) |
(*.f64 (*.f64 2 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))) |
(*.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) (*.f64 2 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) |
(pow.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1) |
(/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 6 v)))) (-.f64 1 (*.f64 v v)))) |
(/.f64 4/3 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))) |
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) | |
| ✓ | 0.0b | (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) |
| 0.1b | (*.f64 v (*.f64 v 6)) | |
| ✓ | 1.0b | (/.f64 4/3 (PI.f64)) |
Compiled 68 to 44 computations (35.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | v | @ | inf | (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) |
| 0.0ms | v | @ | 0 | (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) |
| 0.0ms | v | @ | -inf | (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) |
| 1× | batch-egg-rewrite |
| 1206× | exponential.json-3 |
| 1206× | rational.json-1 |
| 1206× | rational.json-2 |
| 1206× | rational.json-4 |
| 1206× | rational.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 36 |
| 1 | 91 | 36 |
| 2 | 270 | 36 |
| 3 | 827 | 36 |
| 4 | 3353 | 36 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 4/3 (PI.f64)) |
(/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4/3 (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (/.f64 4/3 (PI.f64)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 4/3 (PI.f64)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4/3 (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4/3 (PI.f64)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 (PI.f64)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 4/3 (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4/3 (PI.f64)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 4/3 (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 4/3 (PI.f64)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4/3 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -4/3 (PI.f64))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 4/3 (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 4/3 (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1))))))) (#(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 1 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4/3 (PI.f64)) 2) (/.f64 1/2 (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4/3 (PI.f64)) 2) (*.f64 (/.f64 1 (-.f64 1 (*.f64 v v))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 (+.f64 (*.f64 v v) -1)) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 (PI.f64)) (/.f64 1 (+.f64 (*.f64 v v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (+.f64 (*.f64 v v) -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (-.f64 1 (*.f64 v v))) (/.f64 4/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 4/3 (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4/3 (PI.f64)) 4) (/.f64 1 (*.f64 (-.f64 1 (*.f64 v v)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -4/3 (+.f64 (*.f64 v v) -1)) 2) (/.f64 1 (*.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -8/3 (+.f64 (*.f64 v v) -1)) (/.f64 1 (*.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 v v))) (/.f64 4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 8/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (+.f64 (*.f64 v v) -1)) (/.f64 -1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (/.f64 -4/3 (+.f64 (*.f64 v v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (-.f64 1 (*.f64 v v))) (*.f64 (/.f64 4/3 (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 v v) -1)) (/.f64 -4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4/3 (PI.f64)) -2) (/.f64 -1 (*.f64 (+.f64 (*.f64 v v) -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 v v))) 1/2) (*.f64 (/.f64 4/3 (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 -4/3 (+.f64 (*.f64 v v) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (PI.f64) 2)) (/.f64 -8/3 (+.f64 (*.f64 v v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (+.f64 (*.f64 v v) -1) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (-.f64 1 (*.f64 v v)) 4)) (*.f64 (/.f64 4/3 (PI.f64)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 (+.f64 (*.f64 v v) -1) -2)) (*.f64 (/.f64 4/3 (PI.f64)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (PI.f64)) (/.f64 4/3 (+.f64 (*.f64 v v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (-.f64 1 (*.f64 v v))) (/.f64 1/2 (-.f64 1 (*.f64 v v)))) (/.f64 4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 4/3 (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))))))) |
| 1× | egg-herbie |
| 1280× | rational.json-simplify-2 |
| 1214× | rational.json-simplify-35 |
| 736× | rational.json-simplify-46 |
| 728× | rational.json-simplify-61 |
| 630× | rational.json-simplify-43 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 2121 |
| 1 | 307 | 2043 |
| 2 | 767 | 1999 |
| 3 | 2506 | 1999 |
| 4 | 4857 | 1999 |
| 5 | 7460 | 1999 |
| 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 (/.f64 4/3 (PI.f64)) 0) |
(+.f64 0 (/.f64 4/3 (PI.f64))) |
(+.f64 -1 (-.f64 (/.f64 4/3 (PI.f64)) -1)) |
(+.f64 (-.f64 (/.f64 4/3 (PI.f64)) -1) -1) |
(-.f64 (/.f64 4/3 (PI.f64)) 0) |
(-.f64 0 (/.f64 -4/3 (PI.f64))) |
(*.f64 (/.f64 4/3 (PI.f64)) 1) |
(*.f64 1 (/.f64 4/3 (PI.f64))) |
(*.f64 (*.f64 (/.f64 4/3 (PI.f64)) 2) 1/2) |
(*.f64 (/.f64 -4/3 (PI.f64)) -1) |
(*.f64 2 (/.f64 (/.f64 4/3 (PI.f64)) 2)) |
(*.f64 -1 (/.f64 -4/3 (PI.f64))) |
(*.f64 (*.f64 (/.f64 4/3 (PI.f64)) 4) 1/4) |
(*.f64 1/2 (*.f64 (/.f64 4/3 (PI.f64)) 2)) |
(*.f64 1/4 (*.f64 (/.f64 4/3 (PI.f64)) 4)) |
(*.f64 (/.f64 (/.f64 4/3 (PI.f64)) 2) 2) |
(pow.f64 (/.f64 4/3 (PI.f64)) 1) |
(neg.f64 (/.f64 -4/3 (PI.f64))) |
(+.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 0) |
(+.f64 0 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(+.f64 -1 (-.f64 1 (/.f64 4/3 (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1))))) |
(-.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 0) |
(-.f64 0 (/.f64 4/3 (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))) |
(*.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (-.f64 1 (*.f64 v v)))) |
(*.f64 1 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 1) |
(*.f64 (*.f64 (/.f64 4/3 (PI.f64)) 2) (/.f64 1/2 (-.f64 1 (*.f64 v v)))) |
(*.f64 (*.f64 (/.f64 4/3 (PI.f64)) 2) (*.f64 (/.f64 1 (-.f64 1 (*.f64 v v))) 1/2)) |
(*.f64 (/.f64 -4/3 (+.f64 (*.f64 v v) -1)) (/.f64 1 (PI.f64))) |
(*.f64 (/.f64 -4/3 (PI.f64)) (/.f64 1 (+.f64 (*.f64 v v) -1))) |
(*.f64 2 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (+.f64 (*.f64 v v) -1) -2))) |
(*.f64 2 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2)) |
(*.f64 2 (*.f64 (/.f64 1/2 (-.f64 1 (*.f64 v v))) (/.f64 4/3 (PI.f64)))) |
(*.f64 -1 (/.f64 4/3 (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))) |
(*.f64 (*.f64 (/.f64 4/3 (PI.f64)) 4) (/.f64 1 (*.f64 (-.f64 1 (*.f64 v v)) 4))) |
(*.f64 (*.f64 (/.f64 -4/3 (+.f64 (*.f64 v v) -1)) 2) (/.f64 1 (*.f64 (PI.f64) 2))) |
(*.f64 (/.f64 -8/3 (+.f64 (*.f64 v v) -1)) (/.f64 1 (*.f64 (PI.f64) 2))) |
(*.f64 (/.f64 1 (-.f64 1 (*.f64 v v))) (/.f64 4/3 (PI.f64))) |
(*.f64 1/2 (/.f64 8/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 4/3 (+.f64 (*.f64 v v) -1)) (/.f64 -1 (PI.f64))) |
(*.f64 (/.f64 8/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 1/2) |
(*.f64 (/.f64 1 (PI.f64)) (/.f64 -4/3 (+.f64 (*.f64 v v) -1))) |
(*.f64 (/.f64 4/3 (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1))) -1) |
(*.f64 (/.f64 1/2 (-.f64 1 (*.f64 v v))) (*.f64 (/.f64 4/3 (PI.f64)) 2)) |
(*.f64 (/.f64 1 (+.f64 (*.f64 v v) -1)) (/.f64 -4/3 (PI.f64))) |
(*.f64 (*.f64 (/.f64 4/3 (PI.f64)) -2) (/.f64 -1 (*.f64 (+.f64 (*.f64 v v) -1) -2))) |
(*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 v v))) 1/2) (*.f64 (/.f64 4/3 (PI.f64)) 2)) |
(*.f64 (/.f64 1 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 -4/3 (+.f64 (*.f64 v v) -1)) 2)) |
(*.f64 (/.f64 1 (*.f64 (PI.f64) 2)) (/.f64 -8/3 (+.f64 (*.f64 v v) -1))) |
(*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 (+.f64 (*.f64 v v) -1) -2)) 2) |
(*.f64 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2) 2) |
(*.f64 (/.f64 1 (*.f64 (-.f64 1 (*.f64 v v)) 4)) (*.f64 (/.f64 4/3 (PI.f64)) 4)) |
(*.f64 (/.f64 -1 (*.f64 (+.f64 (*.f64 v v) -1) -2)) (*.f64 (/.f64 4/3 (PI.f64)) -2)) |
(*.f64 (/.f64 -1 (PI.f64)) (/.f64 4/3 (+.f64 (*.f64 v v) -1))) |
(*.f64 (+.f64 (/.f64 1/2 (-.f64 1 (*.f64 v v))) (/.f64 1/2 (-.f64 1 (*.f64 v v)))) (/.f64 4/3 (PI.f64))) |
(pow.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 1) |
(neg.f64 (/.f64 4/3 (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))) |
| Outputs |
|---|
(/.f64 4/3 (PI.f64)) |
(+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (*.f64 4/3 (/.f64 1 (PI.f64)))) |
(*.f64 4/3 (+.f64 (/.f64 1 (PI.f64)) (/.f64 (pow.f64 v 2) (PI.f64)))) |
(*.f64 4/3 (+.f64 (/.f64 (pow.f64 v 2) (PI.f64)) (/.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 2) (PI.f64))) (+.f64 (*.f64 4/3 (/.f64 1 (PI.f64))) (*.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64))))) |
(+.f64 (*.f64 4/3 (+.f64 (/.f64 1 (PI.f64)) (/.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64)))) |
(*.f64 4/3 (+.f64 (/.f64 (pow.f64 v 4) (PI.f64)) (+.f64 (/.f64 (pow.f64 v 2) (PI.f64)) (/.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 (*.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (+.f64 (+.f64 (*.f64 4/3 (/.f64 1 (PI.f64))) (*.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64)))) (*.f64 4/3 (/.f64 (pow.f64 v 6) (PI.f64))))) |
(+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64))) (+.f64 (*.f64 4/3 (+.f64 (/.f64 1 (PI.f64)) (/.f64 (pow.f64 v 2) (PI.f64)))) (*.f64 4/3 (/.f64 (pow.f64 v 6) (PI.f64))))) |
(+.f64 (*.f64 4/3 (+.f64 (/.f64 (pow.f64 v 4) (PI.f64)) (+.f64 (/.f64 (pow.f64 v 2) (PI.f64)) (/.f64 1 (PI.f64))))) (*.f64 4/3 (/.f64 (pow.f64 v 6) (PI.f64)))) |
(+.f64 (*.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (*.f64 4/3 (+.f64 (/.f64 1 (PI.f64)) (+.f64 (/.f64 (pow.f64 v 4) (PI.f64)) (/.f64 (pow.f64 v 6) (PI.f64)))))) |
(/.f64 -4/3 (*.f64 (pow.f64 v 2) (PI.f64))) |
(/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 2))) |
(/.f64 (/.f64 -4/3 (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 (PI.f64) (pow.f64 v 4)))) (*.f64 4/3 (/.f64 1 (*.f64 (PI.f64) (pow.f64 v 2)))))) |
(neg.f64 (*.f64 4/3 (+.f64 (/.f64 (/.f64 1 (PI.f64)) (pow.f64 v 2)) (/.f64 1 (*.f64 (PI.f64) (pow.f64 v 4)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 1 (PI.f64)) (pow.f64 v 4)) (/.f64 (/.f64 1 (PI.f64)) (pow.f64 v 2))) -4/3) |
(*.f64 -4/3 (+.f64 (/.f64 1 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 1 (*.f64 (PI.f64) (pow.f64 v 2))))) |
(*.f64 -4/3 (+.f64 (/.f64 1 (*.f64 (PI.f64) (pow.f64 v 4))) (/.f64 (/.f64 1 (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 (PI.f64) (pow.f64 v 4)))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (PI.f64) (pow.f64 v 6)))) (*.f64 4/3 (/.f64 1 (*.f64 (PI.f64) (pow.f64 v 2))))))) |
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(*.f64 (+.f64 (/.f64 1/2 (-.f64 1 (*.f64 v v))) (/.f64 1/2 (-.f64 1 (*.f64 v v)))) (/.f64 4/3 (PI.f64))) |
(/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) |
(/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) |
(pow.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 1) |
(/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) |
(/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) |
(neg.f64 (/.f64 4/3 (*.f64 (PI.f64) (+.f64 (*.f64 v v) -1)))) |
(/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) |
(/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) |
Compiled 18227 to 14498 computations (20.5% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 542 | 5 | 547 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 1 | 2 |
| Total | 544 | 6 | 550 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (/.f64 4 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| ▶ | 0.7b | (/.f64 (/.f64 4 (*.f64 3 (PI.f64))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| ▶ | 0.0b | (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) |
| ▶ | 0.7b | (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| ▶ | 0.7b | (/.f64 4 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2)))) |
| ▶ | 1.7b | (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
Compiled 147 to 127 computations (13.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) |
| 0.1b | (*.f64 v (*.f64 v 6)) | |
| ✓ | 1.0b | (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) |
| ✓ | 1.0b | (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
Compiled 73 to 48 computations (34.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | v | @ | inf | (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| 0.0ms | v | @ | 0 | (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| 0.0ms | v | @ | inf | (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) |
| 0.0ms | v | @ | -inf | (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| 0.0ms | v | @ | 0 | (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) |
| 1× | batch-egg-rewrite |
| 2046× | rational.json-1 |
| 2046× | rational.json-2 |
| 2046× | rational.json-4 |
| 2046× | rational.json-3 |
| 814× | rational.json-simplify-61 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 105 |
| 1 | 139 | 105 |
| 2 | 353 | 105 |
| 3 | 1227 | 105 |
| 4 | 5446 | 105 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) |
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 2 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (/.f64 1 (-.f64 1 (*.f64 v v))) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 1/2 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (*.f64 (/.f64 1/2 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (*.f64 1/2 (/.f64 1 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) (/.f64 1 (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 v v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 4) (/.f64 1 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (/.f64 1 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64))) (/.f64 1 (*.f64 2 (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (PI.f64)) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 2 (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 8/3 (-.f64 1 (*.f64 v v))) (PI.f64)) (/.f64 1 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (-.f64 1 (*.f64 v v))) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (-.f64 1 (*.f64 v v))) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (neg.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (*.f64 (-.f64 1 (*.f64 v v)) (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) (+.f64 (*.f64 v v) -1)) (/.f64 1 (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64))) (/.f64 1 (+.f64 (*.f64 v v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (neg.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (-.f64 1 (*.f64 v v)) (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) (+.f64 (*.f64 v v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 v v))) (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (PI.f64)) (*.f64 2 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (*.f64 2 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 0)))) (#(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 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 1))))) |
| 1× | egg-herbie |
| 1196× | rational.json-simplify-51 |
| 1070× | rational.json-simplify-35 |
| 870× | rational.json-simplify-44 |
| 814× | rational.json-simplify-1 |
| 684× | rational.json-simplify-47 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 284 | 6291 |
| 1 | 719 | 6225 |
| 2 | 1659 | 6183 |
| 3 | 5168 | 6153 |
| 4 | 7958 | 6153 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 4/3 (sqrt.f64 1/2)) |
(+.f64 (*.f64 4/3 (sqrt.f64 1/2)) (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))) |
(+.f64 (*.f64 2/3 (/.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (sqrt.f64 1/2))) (+.f64 (*.f64 4/3 (sqrt.f64 1/2)) (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)))) |
(+.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))))) (sqrt.f64 1/2))) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (sqrt.f64 1/2))) (+.f64 (*.f64 4/3 (sqrt.f64 1/2)) (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))))) |
(*.f64 4/3 (/.f64 (sqrt.f64 -1/6) v)) |
(-.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) v)) (*.f64 1/27 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6))))) |
(-.f64 (+.f64 (*.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/6)))) (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) v))) (*.f64 1/27 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6))))) |
(-.f64 (+.f64 (*.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/6)))) (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) v)) (*.f64 -2/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (*.f64 (pow.f64 v 7) (sqrt.f64 -1/6)))))) (*.f64 1/27 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6))))) |
(*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) v)) |
(+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) v)) (*.f64 1/27 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6))))) |
(+.f64 (*.f64 1/27 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6)))) (+.f64 (*.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/6)))) (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) v)))) |
(+.f64 (*.f64 1/27 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6)))) (+.f64 (*.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/6)))) (+.f64 (*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) v)) (*.f64 2/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (*.f64 (pow.f64 v 7) (sqrt.f64 -1/6))))))) |
(*.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))))))) |
(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)) |
(+.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0) |
(+.f64 0 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(-.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0) |
(*.f64 2 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2)) |
(*.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1) |
(*.f64 1 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (*.f64 2 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 1/2) |
(*.f64 (*.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 4) 1/4) |
(*.f64 1/2 (*.f64 2 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(pow.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1) |
(+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) 0) |
(+.f64 0 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) |
(-.f64 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) 0) |
(*.f64 2 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 2 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) |
(*.f64 2 (/.f64 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) 2)) |
(*.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (/.f64 1 (-.f64 1 (*.f64 v v))) (/.f64 1 (PI.f64)))) |
(*.f64 1 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) |
(*.f64 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) 1) |
(*.f64 (*.f64 2 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 1/2 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (*.f64 2 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (*.f64 (/.f64 1/2 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 1)) |
(*.f64 (*.f64 2 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (*.f64 1/2 (/.f64 1 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) |
(*.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1)) |
(*.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) (/.f64 1 (-.f64 1 (*.f64 v v)))) |
(*.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 v v))) 1)) |
(*.f64 (*.f64 2 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) 1/2) |
(*.f64 (*.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 4) (/.f64 1 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) 4)))) |
(*.f64 (*.f64 2 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (/.f64 1 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (*.f64 2 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64))) (/.f64 1 (*.f64 2 (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 8/3 (PI.f64)) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 2 (-.f64 1 (*.f64 v v)))))) |
(*.f64 (/.f64 (/.f64 8/3 (-.f64 1 (*.f64 v v))) (PI.f64)) (/.f64 1 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (-.f64 1 (*.f64 v v))) (/.f64 1 (PI.f64))) |
(*.f64 (/.f64 4/3 (-.f64 1 (*.f64 v v))) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64)))) |
(*.f64 1/2 (*.f64 2 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))) |
(*.f64 (/.f64 1 (PI.f64)) (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (-.f64 1 (*.f64 v v)))) |
(*.f64 (/.f64 1 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (neg.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) |
(*.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (*.f64 (-.f64 1 (*.f64 v v)) (neg.f64 (PI.f64))))) |
(*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (+.f64 (*.f64 v v) -1)) (/.f64 1 (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64))) (/.f64 1 (+.f64 (*.f64 v v) -1))) |
(*.f64 -1 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (neg.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) |
(*.f64 -1 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (-.f64 1 (*.f64 v v)) (neg.f64 (PI.f64))))) |
(*.f64 -1 (/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 -1 (/.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) (+.f64 (*.f64 v v) -1))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 1 (-.f64 1 (*.f64 v v))) (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64))) |
(*.f64 (/.f64 1/2 (PI.f64)) (*.f64 2 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 1/2 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (*.f64 2 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(pow.f64 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) 1) |
(+.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 0) |
(+.f64 0 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) |
(-.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 0) |
(/.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 1) |
(/.f64 (*.f64 2 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2) |
(/.f64 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) 4)) 4) |
(/.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) 4))) 8) |
(pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 1) |
| Outputs |
|---|
(*.f64 4/3 (sqrt.f64 1/2)) |
(+.f64 (*.f64 4/3 (sqrt.f64 1/2)) (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))) |
(+.f64 (*.f64 2/3 (/.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (sqrt.f64 1/2))) (+.f64 (*.f64 4/3 (sqrt.f64 1/2)) (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)))) |
(+.f64 (*.f64 4/3 (sqrt.f64 1/2)) (+.f64 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (*.f64 2/3 (*.f64 (pow.f64 v 4) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)))))) |
(+.f64 (*.f64 4/3 (sqrt.f64 1/2)) (+.f64 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (*.f64 2/3 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (sqrt.f64 1/2)))))) |
(+.f64 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (+.f64 (*.f64 4/3 (sqrt.f64 1/2)) (*.f64 2/3 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (sqrt.f64 1/2)))))) |
(+.f64 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (+.f64 (*.f64 4/3 (sqrt.f64 1/2)) (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (/.f64 (pow.f64 v 4) (sqrt.f64 1/2)) 2/3)))) |
(+.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))))) (sqrt.f64 1/2))) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (sqrt.f64 1/2))) (+.f64 (*.f64 4/3 (sqrt.f64 1/2)) (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))))) |
(+.f64 (+.f64 (*.f64 4/3 (sqrt.f64 1/2)) (+.f64 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (*.f64 2/3 (*.f64 (pow.f64 v 4) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)))))) (*.f64 2/3 (*.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2))) (/.f64 (pow.f64 v 6) (sqrt.f64 1/2))))) |
(+.f64 (*.f64 4/3 (sqrt.f64 1/2)) (+.f64 (+.f64 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (*.f64 2/3 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (sqrt.f64 1/2))))) (*.f64 2/3 (*.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2))) (/.f64 (pow.f64 v 6) (sqrt.f64 1/2)))))) |
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(*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(/.f64 4/3 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (-.f64 1 (*.f64 v v))))) |
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 1 (-.f64 1 (*.f64 v v))) (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64))) |
(/.f64 4/3 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (-.f64 1 (*.f64 v v))))) |
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 1/2 (PI.f64)) (*.f64 2 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (-.f64 1 (*.f64 v v))))) |
(/.f64 4/3 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (-.f64 1 (*.f64 v v))))) |
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(*.f64 (/.f64 1/2 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (*.f64 2 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(/.f64 4/3 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (-.f64 1 (*.f64 v v))))) |
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(pow.f64 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) 1) |
(/.f64 4/3 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (-.f64 1 (*.f64 v v))))) |
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) |
(+.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 0) |
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) |
(+.f64 0 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) |
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) |
(-.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 0) |
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) |
(/.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 1) |
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) |
(/.f64 (*.f64 2 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 2) |
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) |
(/.f64 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) 4)) 4) |
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) |
(/.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (-.f64 1 (*.f64 v v)) 4))) 8) |
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) |
(pow.f64 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) 1) |
(*.f64 (PI.f64) (-.f64 1 (*.f64 v v))) |
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 |
| 1200× | rational.json-1 |
| 1200× | rational.json-2 |
| 1200× | rational.json-4 |
| 1200× | rational.json-3 |
| 1192× | exponential.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 53 | 13 |
| 2 | 128 | 13 |
| 3 | 300 | 13 |
| 4 | 764 | 13 |
| 5 | 3238 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 1/2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 1/2) (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 (PI.f64))) (*.f64 (sqrt.f64 1/2) (/.f64 1/2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sqrt.f64 1/2) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 1/2) (/.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (*.f64 1/2 (/.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (/.f64 (/.f64 1 (sqrt.f64 1/2)) (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))))))) (#(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 (*.f64 (sqrt.f64 1/2) 2) (/.f64 1/2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) 2) (+.f64 (/.f64 2 (*.f64 (PI.f64) 8)) (/.f64 2 (*.f64 (PI.f64) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (/.f64 2 (PI.f64))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 2 (*.f64 (PI.f64) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) 4) (*.f64 (/.f64 1 (PI.f64)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) 4) (*.f64 1/2 (/.f64 1/2 (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 1 (PI.f64)) (/.f64 1 (/.f64 1 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 -1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 1 (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 2 (*.f64 (PI.f64) (*.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 (PI.f64) (sqrt.f64 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sqrt.f64 1/2) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (PI.f64) (sqrt.f64 1/2))) (/.f64 1 (*.f64 (PI.f64) (*.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 (PI.f64) (sqrt.f64 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (PI.f64) (sqrt.f64 1/2))) (/.f64 1/2 (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (/.f64 1/2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) 8) (/.f64 1 (*.f64 (PI.f64) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) 8) (*.f64 1/4 (/.f64 1/2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (PI.f64)) (*.f64 (sqrt.f64 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 1/2)) (/.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) -2) (/.f64 -1/2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) -2) (/.f64 1 (*.f64 (PI.f64) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) -2) (*.f64 -1 (/.f64 1/2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 (/.f64 (sqrt.f64 1/2) 4) (/.f64 1/2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1/2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 1/2) 4) 4) (*.f64 1/8 (/.f64 1/2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (PI.f64))) (*.f64 1/2 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sqrt.f64 1/2)) (/.f64 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 (PI.f64) (sqrt.f64 1/2))) (/.f64 2 (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 (PI.f64) (sqrt.f64 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (PI.f64) 8)) (*.f64 (sqrt.f64 1/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (PI.f64)) (neg.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sqrt.f64 1/2)) (*.f64 2 (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sqrt.f64 1/2)) (/.f64 2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 1/2)) (/.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 (sqrt.f64 1/2)) 4) (*.f64 -1/2 (/.f64 1/2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 2 (PI.f64))) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (PI.f64)) 1/4) (*.f64 (sqrt.f64 1/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) (*.f64 (sqrt.f64 1/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (sqrt.f64 1/2))) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (/.f64 1 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (/.f64 (PI.f64) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (/.f64 1/2 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (*.f64 1/2 (/.f64 (PI.f64) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (/.f64 -1 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sqrt.f64 1/2)) (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (PI.f64) (*.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 (PI.f64) (sqrt.f64 1/2))))) (*.f64 2 (/.f64 (PI.f64) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 (PI.f64) (sqrt.f64 1/2))))) (/.f64 (PI.f64) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (PI.f64)) (*.f64 (sqrt.f64 1/2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (*.f64 2 (/.f64 (PI.f64) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 (PI.f64) (sqrt.f64 1/2))))) (/.f64 2 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (PI.f64) 8)) (*.f64 (sqrt.f64 1/2) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (PI.f64) -2)) (*.f64 (sqrt.f64 1/2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 (*.f64 (PI.f64) 8)) (/.f64 2 (*.f64 (PI.f64) 8))) (*.f64 (sqrt.f64 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 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 neg.f64 (/.f64 (/.f64 (PI.f64) (neg.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2))))))))) |
| 1× | egg-herbie |
| 1098× | rational.json-simplify-2 |
| 898× | rational.json-simplify-55 |
| 668× | rational.json-simplify-44 |
| 656× | rational.json-simplify-61 |
| 642× | rational.json-simplify-35 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 161 | 1380 |
| 1 | 343 | 1340 |
| 2 | 914 | 1224 |
| 3 | 3443 | 1224 |
| 4 | 7061 | 1224 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 0) |
(+.f64 0 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 1/2) (neg.f64 (PI.f64))))) |
(+.f64 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 (PI.f64))) (*.f64 (sqrt.f64 1/2) (/.f64 1/2 (PI.f64)))) |
(-.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 0) |
(-.f64 0 (/.f64 (sqrt.f64 1/2) (neg.f64 (PI.f64)))) |
(*.f64 1/2 (*.f64 (sqrt.f64 1/2) (/.f64 2 (PI.f64)))) |
(*.f64 (sqrt.f64 1/2) (/.f64 1 (PI.f64))) |
(*.f64 (sqrt.f64 1/2) (*.f64 1/2 (/.f64 2 (PI.f64)))) |
(*.f64 (PI.f64) (/.f64 (/.f64 1 (sqrt.f64 1/2)) (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2))))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1) |
(*.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (/.f64 1/2 (PI.f64))) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (+.f64 (/.f64 2 (*.f64 (PI.f64) 8)) (/.f64 2 (*.f64 (PI.f64) 8)))) |
(*.f64 2 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 (PI.f64)))) |
(*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 2 (PI.f64))) 1/2) |
(*.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 2 (*.f64 (PI.f64) 8))) |
(*.f64 (*.f64 (sqrt.f64 1/2) 4) (*.f64 (/.f64 1 (PI.f64)) 1/4)) |
(*.f64 (*.f64 (sqrt.f64 1/2) 4) (*.f64 1/2 (/.f64 1/2 (PI.f64)))) |
(*.f64 (/.f64 1 (PI.f64)) (sqrt.f64 1/2)) |
(*.f64 (/.f64 1 (PI.f64)) (/.f64 1 (/.f64 1 (sqrt.f64 1/2)))) |
(*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 -1 (PI.f64))) |
(*.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 1 (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2))))) |
(*.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 2 (*.f64 (PI.f64) (*.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 (PI.f64) (sqrt.f64 1/2)))))) |
(*.f64 -1 (/.f64 (sqrt.f64 1/2) (neg.f64 (PI.f64)))) |
(*.f64 (*.f64 2 (/.f64 (PI.f64) (sqrt.f64 1/2))) (/.f64 1 (*.f64 (PI.f64) (*.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 (PI.f64) (sqrt.f64 1/2)))))) |
(*.f64 (*.f64 2 (/.f64 (PI.f64) (sqrt.f64 1/2))) (/.f64 1/2 (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2))))) |
(*.f64 4 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) 4))) |
(*.f64 4 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4)) |
(*.f64 4 (*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (/.f64 1/2 (PI.f64)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4) 1/4) |
(*.f64 (*.f64 (sqrt.f64 1/2) 8) (/.f64 1 (*.f64 (PI.f64) 8))) |
(*.f64 (*.f64 (sqrt.f64 1/2) 8) (*.f64 1/4 (/.f64 1/2 (PI.f64)))) |
(*.f64 (/.f64 1/2 (PI.f64)) (*.f64 (sqrt.f64 1/2) 2)) |
(*.f64 (/.f64 1 (sqrt.f64 1/2)) (/.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2))))) |
(*.f64 (*.f64 (sqrt.f64 1/2) -2) (/.f64 -1/2 (PI.f64))) |
(*.f64 (*.f64 (sqrt.f64 1/2) -2) (/.f64 1 (*.f64 (PI.f64) -2))) |
(*.f64 (*.f64 (sqrt.f64 1/2) -2) (*.f64 -1 (/.f64 1/2 (PI.f64)))) |
(*.f64 8 (*.f64 (/.f64 (sqrt.f64 1/2) 4) (/.f64 1/2 (PI.f64)))) |
(*.f64 -2 (*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1/2 (PI.f64)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) 4) 4) (*.f64 1/8 (/.f64 1/2 (PI.f64)))) |
(*.f64 (*.f64 2 (/.f64 1 (PI.f64))) (*.f64 1/2 (sqrt.f64 1/2))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 (PI.f64))) -1) |
(*.f64 (/.f64 1/2 (sqrt.f64 1/2)) (/.f64 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2))))) |
(*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 (PI.f64))) 2) |
(*.f64 (*.f64 1/2 (/.f64 (PI.f64) (sqrt.f64 1/2))) (/.f64 2 (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2))))) |
(*.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 (sqrt.f64 1/2))) |
(*.f64 1/4 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4)) |
(*.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 (PI.f64) (sqrt.f64 1/2)))))) |
(*.f64 (/.f64 2 (*.f64 (PI.f64) 8)) (*.f64 (sqrt.f64 1/2) 4)) |
(*.f64 (/.f64 -1 (PI.f64)) (neg.f64 (sqrt.f64 1/2))) |
(*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) |
(*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (/.f64 2 (PI.f64))) |
(*.f64 (/.f64 -1 (sqrt.f64 1/2)) (/.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2))))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 1/2)) 4) (*.f64 -1/2 (/.f64 1/2 (PI.f64)))) |
(*.f64 (*.f64 1/2 (/.f64 2 (PI.f64))) (sqrt.f64 1/2)) |
(*.f64 (*.f64 (/.f64 1 (PI.f64)) 1/4) (*.f64 (sqrt.f64 1/2) 4)) |
(*.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) (*.f64 (sqrt.f64 1/2) 4)) |
(*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 1/2))) (/.f64 1 (PI.f64))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (/.f64 1 (sqrt.f64 1/2))) |
(*.f64 (/.f64 1 (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (/.f64 (PI.f64) (sqrt.f64 1/2))) |
(*.f64 (/.f64 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (/.f64 1/2 (sqrt.f64 1/2))) |
(*.f64 (/.f64 2 (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (*.f64 1/2 (/.f64 (PI.f64) (sqrt.f64 1/2)))) |
(*.f64 (/.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (/.f64 -1 (sqrt.f64 1/2))) |
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 1/2)) (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (PI.f64)) |
(*.f64 (/.f64 1 (*.f64 (PI.f64) (*.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 (PI.f64) (sqrt.f64 1/2))))) (*.f64 2 (/.f64 (PI.f64) (sqrt.f64 1/2)))) |
(*.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 (PI.f64) (sqrt.f64 1/2))))) (/.f64 (PI.f64) (sqrt.f64 1/2))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) 4)) 4) |
(*.f64 (/.f64 -1/2 (PI.f64)) (*.f64 (sqrt.f64 1/2) -2)) |
(*.f64 (/.f64 1/2 (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (*.f64 2 (/.f64 (PI.f64) (sqrt.f64 1/2)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 (PI.f64) (sqrt.f64 1/2))))) (/.f64 2 (sqrt.f64 1/2))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4) 4) |
(*.f64 (/.f64 1 (*.f64 (PI.f64) 8)) (*.f64 (sqrt.f64 1/2) 8)) |
(*.f64 (/.f64 1 (*.f64 (PI.f64) -2)) (*.f64 (sqrt.f64 1/2) -2)) |
(*.f64 (+.f64 (/.f64 2 (*.f64 (PI.f64) 8)) (/.f64 2 (*.f64 (PI.f64) 8))) (*.f64 (sqrt.f64 1/2) 2)) |
(pow.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1) |
(neg.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 (PI.f64)))) |
(neg.f64 (/.f64 (/.f64 (PI.f64) (neg.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2))))) |
| Outputs |
|---|
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 0) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(+.f64 0 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(+.f64 -1 (-.f64 1 (/.f64 (sqrt.f64 1/2) (neg.f64 (PI.f64))))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(+.f64 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 (PI.f64))) (*.f64 (sqrt.f64 1/2) (/.f64 1/2 (PI.f64)))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(-.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 0) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(-.f64 0 (/.f64 (sqrt.f64 1/2) (neg.f64 (PI.f64)))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 1/2 (*.f64 (sqrt.f64 1/2) (/.f64 2 (PI.f64)))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (sqrt.f64 1/2) (/.f64 1 (PI.f64))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (sqrt.f64 1/2) (*.f64 1/2 (/.f64 2 (PI.f64)))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (PI.f64) (/.f64 (/.f64 1 (sqrt.f64 1/2)) (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2))))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (/.f64 1/2 (PI.f64))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (+.f64 (/.f64 2 (*.f64 (PI.f64) 8)) (/.f64 2 (*.f64 (PI.f64) 8)))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 2 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 (PI.f64)))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 2 (PI.f64))) 1/2) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 2 (*.f64 (PI.f64) 8))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (*.f64 (sqrt.f64 1/2) 4) (*.f64 (/.f64 1 (PI.f64)) 1/4)) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (*.f64 (sqrt.f64 1/2) 4) (*.f64 1/2 (/.f64 1/2 (PI.f64)))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (/.f64 1 (PI.f64)) (sqrt.f64 1/2)) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (/.f64 1 (PI.f64)) (/.f64 1 (/.f64 1 (sqrt.f64 1/2)))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 -1 (PI.f64))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 1 (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2))))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 2 (*.f64 (PI.f64) (*.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 (PI.f64) (sqrt.f64 1/2)))))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 -1 (/.f64 (sqrt.f64 1/2) (neg.f64 (PI.f64)))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (*.f64 2 (/.f64 (PI.f64) (sqrt.f64 1/2))) (/.f64 1 (*.f64 (PI.f64) (*.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 (PI.f64) (sqrt.f64 1/2)))))) |
(*.f64 2 (*.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 2 (sqrt.f64 1/2)))))) |
(*.f64 2 (*.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 (/.f64 (/.f64 1 (PI.f64)) (/.f64 2 (sqrt.f64 1/2))) (/.f64 (PI.f64) (sqrt.f64 1/2))))) |
(*.f64 (*.f64 2 (/.f64 (PI.f64) (sqrt.f64 1/2))) (/.f64 (/.f64 1/4 (PI.f64)) (PI.f64))) |
(*.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (*.f64 2 (/.f64 (/.f64 1/4 (PI.f64)) (PI.f64)))) |
(*.f64 2 (/.f64 (*.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (PI.f64) (/.f64 1/2 (PI.f64))))) |
(*.f64 (*.f64 2 (/.f64 (PI.f64) (sqrt.f64 1/2))) (/.f64 1/2 (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2))))) |
(*.f64 2 (*.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 2 (sqrt.f64 1/2)))))) |
(*.f64 2 (*.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 (/.f64 (/.f64 1 (PI.f64)) (/.f64 2 (sqrt.f64 1/2))) (/.f64 (PI.f64) (sqrt.f64 1/2))))) |
(*.f64 (*.f64 2 (/.f64 (PI.f64) (sqrt.f64 1/2))) (/.f64 (/.f64 1/4 (PI.f64)) (PI.f64))) |
(*.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (*.f64 2 (/.f64 (/.f64 1/4 (PI.f64)) (PI.f64)))) |
(*.f64 2 (/.f64 (*.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (PI.f64) (/.f64 1/2 (PI.f64))))) |
(*.f64 4 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) 4))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 4 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4)) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 4 (*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (/.f64 1/2 (PI.f64)))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4) 1/4) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (*.f64 (sqrt.f64 1/2) 8) (/.f64 1 (*.f64 (PI.f64) 8))) |
(*.f64 8 (*.f64 (sqrt.f64 1/2) (/.f64 1/8 (PI.f64)))) |
(*.f64 (sqrt.f64 1/2) (*.f64 8 (/.f64 1/8 (PI.f64)))) |
(*.f64 (*.f64 (sqrt.f64 1/2) 8) (*.f64 1/4 (/.f64 1/2 (PI.f64)))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (/.f64 1/2 (PI.f64)) (*.f64 (sqrt.f64 1/2) 2)) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (/.f64 1 (sqrt.f64 1/2)) (/.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2))))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (*.f64 (sqrt.f64 1/2) -2) (/.f64 -1/2 (PI.f64))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (*.f64 (sqrt.f64 1/2) -2) (/.f64 1 (*.f64 (PI.f64) -2))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (*.f64 (sqrt.f64 1/2) -2) (*.f64 -1 (/.f64 1/2 (PI.f64)))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 8 (*.f64 (/.f64 (sqrt.f64 1/2) 4) (/.f64 1/2 (PI.f64)))) |
(*.f64 8 (*.f64 (/.f64 1/2 (PI.f64)) (/.f64 (sqrt.f64 1/2) 4))) |
(*.f64 (/.f64 1/2 (PI.f64)) (*.f64 8 (/.f64 (sqrt.f64 1/2) 4))) |
(*.f64 (/.f64 (sqrt.f64 1/2) 4) (*.f64 (/.f64 1/2 (PI.f64)) 8)) |
(*.f64 8 (/.f64 (/.f64 1/2 (PI.f64)) (*.f64 (sqrt.f64 1/2) 8))) |
(*.f64 -2 (*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1/2 (PI.f64)))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) 4) 4) (*.f64 1/8 (/.f64 1/2 (PI.f64)))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (*.f64 2 (/.f64 1 (PI.f64))) (*.f64 1/2 (sqrt.f64 1/2))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 (PI.f64))) -1) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (/.f64 1/2 (sqrt.f64 1/2)) (/.f64 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2))))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 (PI.f64))) 2) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (*.f64 1/2 (/.f64 (PI.f64) (sqrt.f64 1/2))) (/.f64 2 (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2))))) |
(*.f64 (*.f64 1/2 (/.f64 (PI.f64) (sqrt.f64 1/2))) (/.f64 (/.f64 2 (PI.f64)) (/.f64 (PI.f64) (*.f64 (sqrt.f64 1/2) (sqrt.f64 1/2))))) |
(*.f64 1/2 (*.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 2 (*.f64 (PI.f64) (/.f64 (PI.f64) 1/2))))) |
(*.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (*.f64 1/2 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)))) |
(*.f64 (/.f64 2 (PI.f64)) (*.f64 1/2 (sqrt.f64 1/2))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 1/4 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4)) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 (PI.f64) (sqrt.f64 1/2)))))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (/.f64 2 (*.f64 (PI.f64) 8)) (*.f64 (sqrt.f64 1/2) 4)) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (/.f64 -1 (PI.f64)) (neg.f64 (sqrt.f64 1/2))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (/.f64 2 (PI.f64))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (/.f64 -1 (sqrt.f64 1/2)) (/.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2))))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 1/2)) 4) (*.f64 -1/2 (/.f64 1/2 (PI.f64)))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (*.f64 1/2 (/.f64 2 (PI.f64))) (sqrt.f64 1/2)) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (*.f64 (/.f64 1 (PI.f64)) 1/4) (*.f64 (sqrt.f64 1/2) 4)) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) (*.f64 (sqrt.f64 1/2) 4)) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 1/2))) (/.f64 1 (PI.f64))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (/.f64 1 (sqrt.f64 1/2))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (/.f64 1 (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (/.f64 (PI.f64) (sqrt.f64 1/2))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (/.f64 (*.f64 (PI.f64) 2) (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (/.f64 1/2 (sqrt.f64 1/2))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (/.f64 2 (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (*.f64 1/2 (/.f64 (PI.f64) (sqrt.f64 1/2)))) |
(*.f64 (*.f64 1/2 (/.f64 (PI.f64) (sqrt.f64 1/2))) (/.f64 (/.f64 2 (PI.f64)) (/.f64 (PI.f64) (*.f64 (sqrt.f64 1/2) (sqrt.f64 1/2))))) |
(*.f64 1/2 (*.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 2 (*.f64 (PI.f64) (/.f64 (PI.f64) 1/2))))) |
(*.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (*.f64 1/2 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)))) |
(*.f64 (/.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (/.f64 -1 (sqrt.f64 1/2))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 1/2)) (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (PI.f64)) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (/.f64 1 (*.f64 (PI.f64) (*.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 (PI.f64) (sqrt.f64 1/2))))) (*.f64 2 (/.f64 (PI.f64) (sqrt.f64 1/2)))) |
(*.f64 2 (*.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 2 (sqrt.f64 1/2)))))) |
(*.f64 2 (*.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 (/.f64 (/.f64 1 (PI.f64)) (/.f64 2 (sqrt.f64 1/2))) (/.f64 (PI.f64) (sqrt.f64 1/2))))) |
(*.f64 (*.f64 2 (/.f64 (PI.f64) (sqrt.f64 1/2))) (/.f64 (/.f64 1/4 (PI.f64)) (PI.f64))) |
(*.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (*.f64 2 (/.f64 (/.f64 1/4 (PI.f64)) (PI.f64)))) |
(*.f64 2 (/.f64 (*.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (PI.f64) (/.f64 1/2 (PI.f64))))) |
(*.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 (PI.f64) (sqrt.f64 1/2))))) (/.f64 (PI.f64) (sqrt.f64 1/2))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) 4)) 4) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (/.f64 -1/2 (PI.f64)) (*.f64 (sqrt.f64 1/2) -2)) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (/.f64 1/2 (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2)))) (*.f64 2 (/.f64 (PI.f64) (sqrt.f64 1/2)))) |
(*.f64 2 (*.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 2 (sqrt.f64 1/2)))))) |
(*.f64 2 (*.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (/.f64 (/.f64 (/.f64 1 (PI.f64)) (/.f64 2 (sqrt.f64 1/2))) (/.f64 (PI.f64) (sqrt.f64 1/2))))) |
(*.f64 (*.f64 2 (/.f64 (PI.f64) (sqrt.f64 1/2))) (/.f64 (/.f64 1/4 (PI.f64)) (PI.f64))) |
(*.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (*.f64 2 (/.f64 (/.f64 1/4 (PI.f64)) (PI.f64)))) |
(*.f64 2 (/.f64 (*.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (PI.f64) (/.f64 1/2 (PI.f64))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 (PI.f64) (sqrt.f64 1/2))))) (/.f64 2 (sqrt.f64 1/2))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 4) 4) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (/.f64 1 (*.f64 (PI.f64) 8)) (*.f64 (sqrt.f64 1/2) 8)) |
(*.f64 (*.f64 (sqrt.f64 1/2) 8) (/.f64 1 (*.f64 (PI.f64) 8))) |
(*.f64 8 (*.f64 (sqrt.f64 1/2) (/.f64 1/8 (PI.f64)))) |
(*.f64 (sqrt.f64 1/2) (*.f64 8 (/.f64 1/8 (PI.f64)))) |
(*.f64 (/.f64 1 (*.f64 (PI.f64) -2)) (*.f64 (sqrt.f64 1/2) -2)) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(*.f64 (+.f64 (/.f64 2 (*.f64 (PI.f64) 8)) (/.f64 2 (*.f64 (PI.f64) 8))) (*.f64 (sqrt.f64 1/2) 2)) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(pow.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(neg.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 (PI.f64)))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
(neg.f64 (/.f64 (/.f64 (PI.f64) (neg.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2))))) |
(/.f64 (sqrt.f64 1/2) (PI.f64)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (*.f64 3 (sqrt.f64 2)) |
| ✓ | 1.0b | (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))) |
| ✓ | 1.0b | (/.f64 4 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2)))) |
Compiled 25 to 23 computations (8% saved)
| 1× | batch-egg-rewrite |
| 1672× | rational.json-1 |
| 1672× | rational.json-2 |
| 1672× | rational.json-4 |
| 1672× | rational.json-3 |
| 1668× | exponential.json-3 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 55 |
| 1 | 84 | 49 |
| 2 | 208 | 49 |
| 3 | 632 | 49 |
| 4 | 2425 | 49 |
| 5 | 6020 | 49 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 4 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2)))) |
(*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))) |
(*.f64 3 (sqrt.f64 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 6))) (/.f64 4 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (PI.f64)) (/.f64 1/3 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 2)) 2/3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 4 (PI.f64))) (/.f64 2 (*.f64 (sqrt.f64 2) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (sqrt.f64 2)) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 (PI.f64)) (/.f64 -1 (*.f64 3 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 -4 (PI.f64)) (*.f64 3 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 2)) (/.f64 4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 2)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (/.f64 4/3 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -4 (PI.f64)) (*.f64 3 (sqrt.f64 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (sqrt.f64 2) 12)) (*.f64 2 (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 3 (sqrt.f64 2))) (/.f64 -4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -4 (PI.f64)) (*.f64 3 (sqrt.f64 2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3/4)) (+.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3/4)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3/2)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (PI.f64) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 12)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 12))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 12)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2)))) (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2))) (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6))) (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2)) (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2)))) (*.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2)) (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2)) (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2))) (*.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2)) (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2)) (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6))) (*.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2)) (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6)) (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2)))) (*.f64 (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6)) (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6)) (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2))) (*.f64 (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6)) (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6)) (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6))) (*.f64 (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6)) (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 2) (*.f64 2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (sqrt.f64 2)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) 3/2) (*.f64 (sqrt.f64 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 3 (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 3 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) 6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 3 (sqrt.f64 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) 12) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 2) 12)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 2) 12)) (*.f64 2 (*.f64 (sqrt.f64 2) 12))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 3 (sqrt.f64 2)))))))) |
| 1× | egg-herbie |
| 1402× | rational.json-simplify-2 |
| 996× | rational.json-simplify-61 |
| 994× | rational.json-simplify-51 |
| 906× | rational.json-simplify-59 |
| 696× | rational.json-simplify-35 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 1164 |
| 1 | 361 | 1164 |
| 2 | 1179 | 1164 |
| 3 | 4453 | 1164 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64)) 0) |
(+.f64 0 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64))) |
(+.f64 (/.f64 4 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 6))) (/.f64 4 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 6)))) |
(-.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64)) 0) |
(*.f64 2 (/.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64)) 2)) |
(*.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64)) 1) |
(*.f64 1 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64))) |
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1/3 (sqrt.f64 2))) |
(*.f64 (*.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 2)) 2/3) 1/2) |
(*.f64 (*.f64 2 (/.f64 4 (PI.f64))) (/.f64 2 (*.f64 (sqrt.f64 2) 12))) |
(*.f64 (/.f64 4/3 (sqrt.f64 2)) (/.f64 1 (PI.f64))) |
(*.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (sqrt.f64 2))) |
(*.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 2)) 1/3) |
(*.f64 (/.f64 -4 (PI.f64)) (/.f64 -1 (*.f64 3 (sqrt.f64 2)))) |
(*.f64 -1 (/.f64 (/.f64 -4 (PI.f64)) (*.f64 3 (sqrt.f64 2)))) |
(*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 4/3 (PI.f64))) |
(*.f64 1/3 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 2))) |
(*.f64 (/.f64 1/3 (sqrt.f64 2)) (/.f64 4 (PI.f64))) |
(*.f64 1/2 (*.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 2)) 2/3)) |
(*.f64 (/.f64 1 (PI.f64)) (/.f64 4/3 (sqrt.f64 2))) |
(*.f64 (/.f64 (/.f64 -4 (PI.f64)) (*.f64 3 (sqrt.f64 2))) -1) |
(*.f64 (/.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64)) 2) 2) |
(*.f64 (/.f64 2 (*.f64 (sqrt.f64 2) 12)) (*.f64 2 (/.f64 4 (PI.f64)))) |
(*.f64 (/.f64 -1 (*.f64 3 (sqrt.f64 2))) (/.f64 -4 (PI.f64))) |
(pow.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64)) 1) |
(neg.f64 (/.f64 (/.f64 -4 (PI.f64)) (*.f64 3 (sqrt.f64 2)))) |
(+.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))) 0) |
(+.f64 0 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2)))) |
(+.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3/4)) (+.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3/4)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3/2)))) |
(+.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3/2)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3/2))) |
(+.f64 (*.f64 2 (*.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (PI.f64) (sqrt.f64 2))) |
(-.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))) 0) |
(-.f64 0 (neg.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))))) |
(/.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))) 1) |
(/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 6)) 2) |
(/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 12)) 4) |
(/.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 12))) 8) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 12)))) 16) |
(/.f64 (+.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2)))) (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2))))) |
(/.f64 (+.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2))) (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2)))) |
(/.f64 (+.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6))) (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6)))) |
(/.f64 (+.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2)) (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2)))) (*.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2)) (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2))))) |
(/.f64 (+.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2)) (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2))) (*.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2)) (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2)))) |
(/.f64 (+.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2)) (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6))) (*.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2)) (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6)))) |
(/.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6)) (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2)))) (*.f64 (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6)) (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2))))) |
(/.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6)) (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2))) (*.f64 (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6)) (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2)))) |
(/.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6)) (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6))) (*.f64 (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6)) (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6)))) |
(pow.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))) 1) |
(neg.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))))) |
(+.f64 (sqrt.f64 2) (*.f64 2 (sqrt.f64 2))) |
(+.f64 (*.f64 3 (sqrt.f64 2)) 0) |
(+.f64 0 (*.f64 3 (sqrt.f64 2))) |
(+.f64 (*.f64 2 (sqrt.f64 2)) (sqrt.f64 2)) |
(+.f64 (*.f64 (sqrt.f64 2) 3/2) (*.f64 (sqrt.f64 2) 3/2)) |
(-.f64 (*.f64 3 (sqrt.f64 2)) 0) |
(-.f64 0 (neg.f64 (*.f64 3 (sqrt.f64 2)))) |
(/.f64 (*.f64 3 (sqrt.f64 2)) 1) |
(/.f64 (*.f64 (sqrt.f64 2) 6) 2) |
(/.f64 (neg.f64 (*.f64 3 (sqrt.f64 2))) -1) |
(/.f64 (*.f64 (sqrt.f64 2) 12) 4) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 2) 12)) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 2) 12)) (*.f64 2 (*.f64 (sqrt.f64 2) 12))) 16) |
(pow.f64 (*.f64 3 (sqrt.f64 2)) 1) |
(neg.f64 (neg.f64 (*.f64 3 (sqrt.f64 2)))) |
| Outputs |
|---|
(+.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64)) 0) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)) |
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) |
(+.f64 0 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)) |
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) |
(+.f64 (/.f64 4 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 6))) (/.f64 4 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 6)))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)) |
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) |
(-.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64)) 0) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)) |
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) |
(*.f64 2 (/.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64)) 2)) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)) |
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) |
(*.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64)) 1) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)) |
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) |
(*.f64 1 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)) |
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) |
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1/3 (sqrt.f64 2))) |
(*.f64 (*.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 2)) 2/3) 1/2) |
(*.f64 1/3 (/.f64 4 (*.f64 (sqrt.f64 2) (PI.f64)))) |
(*.f64 (*.f64 2 (/.f64 4 (PI.f64))) (/.f64 2 (*.f64 (sqrt.f64 2) 12))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)) |
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) |
(*.f64 (/.f64 4/3 (sqrt.f64 2)) (/.f64 1 (PI.f64))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)) |
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) |
(*.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (sqrt.f64 2))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)) |
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) |
(*.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 2)) 1/3) |
(*.f64 1/3 (/.f64 4 (*.f64 (sqrt.f64 2) (PI.f64)))) |
(*.f64 (/.f64 -4 (PI.f64)) (/.f64 -1 (*.f64 3 (sqrt.f64 2)))) |
(*.f64 (/.f64 -4 (PI.f64)) (/.f64 -1/3 (sqrt.f64 2))) |
(*.f64 -1 (/.f64 (/.f64 -4 (PI.f64)) (*.f64 3 (sqrt.f64 2)))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)) |
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) |
(*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 4/3 (PI.f64))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)) |
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) |
(*.f64 1/3 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 2))) |
(*.f64 1/3 (/.f64 4 (*.f64 (sqrt.f64 2) (PI.f64)))) |
(*.f64 (/.f64 1/3 (sqrt.f64 2)) (/.f64 4 (PI.f64))) |
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1/3 (sqrt.f64 2))) |
(*.f64 1/2 (*.f64 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 2)) 2/3)) |
(*.f64 1/3 (/.f64 4 (*.f64 (sqrt.f64 2) (PI.f64)))) |
(*.f64 (/.f64 1 (PI.f64)) (/.f64 4/3 (sqrt.f64 2))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)) |
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) |
(*.f64 (/.f64 (/.f64 -4 (PI.f64)) (*.f64 3 (sqrt.f64 2))) -1) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)) |
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) |
(*.f64 (/.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64)) 2) 2) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)) |
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) |
(*.f64 (/.f64 2 (*.f64 (sqrt.f64 2) 12)) (*.f64 2 (/.f64 4 (PI.f64)))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)) |
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) |
(*.f64 (/.f64 -1 (*.f64 3 (sqrt.f64 2))) (/.f64 -4 (PI.f64))) |
(*.f64 (/.f64 -4 (PI.f64)) (/.f64 -1/3 (sqrt.f64 2))) |
(pow.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (PI.f64)) 1) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)) |
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) |
(neg.f64 (/.f64 (/.f64 -4 (PI.f64)) (*.f64 3 (sqrt.f64 2)))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)) |
(/.f64 4/3 (*.f64 (sqrt.f64 2) (PI.f64))) |
(+.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))) 0) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3)) |
(*.f64 (sqrt.f64 2) (*.f64 3 (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) 3)) |
(+.f64 0 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2)))) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3)) |
(*.f64 (sqrt.f64 2) (*.f64 3 (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) 3)) |
(+.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3/4)) (+.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3/4)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3/2)))) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3)) |
(*.f64 (sqrt.f64 2) (*.f64 3 (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) 3)) |
(+.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3/2)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3/2))) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3)) |
(*.f64 (sqrt.f64 2) (*.f64 3 (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) 3)) |
(+.f64 (*.f64 2 (*.f64 (PI.f64) (sqrt.f64 2))) (*.f64 (PI.f64) (sqrt.f64 2))) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3)) |
(*.f64 (sqrt.f64 2) (*.f64 3 (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) 3)) |
(-.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))) 0) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3)) |
(*.f64 (sqrt.f64 2) (*.f64 3 (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) 3)) |
(-.f64 0 (neg.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))))) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3)) |
(*.f64 (sqrt.f64 2) (*.f64 3 (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) 3)) |
(/.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))) 1) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3)) |
(*.f64 (sqrt.f64 2) (*.f64 3 (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) 3)) |
(/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 6)) 2) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3)) |
(*.f64 (sqrt.f64 2) (*.f64 3 (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) 3)) |
(/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 12)) 4) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3)) |
(*.f64 (sqrt.f64 2) (*.f64 3 (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) 3)) |
(/.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 12))) 8) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3)) |
(*.f64 (sqrt.f64 2) (*.f64 3 (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) 3)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 12)))) 16) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3)) |
(*.f64 (sqrt.f64 2) (*.f64 3 (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) 3)) |
(/.f64 (+.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2)))) (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2))))) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3)) |
(*.f64 (sqrt.f64 2) (*.f64 3 (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) 3)) |
(/.f64 (+.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2))) (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2)))) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3)) |
(*.f64 (sqrt.f64 2) (*.f64 3 (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) 3)) |
(/.f64 (+.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6))) (*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2))) (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6)))) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3)) |
(*.f64 (sqrt.f64 2) (*.f64 3 (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) 3)) |
(/.f64 (+.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2)) (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2)))) (*.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2)) (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2))))) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3)) |
(*.f64 (sqrt.f64 2) (*.f64 3 (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) 3)) |
(/.f64 (+.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2)) (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2))) (*.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2)) (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2)))) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3)) |
(*.f64 (sqrt.f64 2) (*.f64 3 (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) 3)) |
(/.f64 (+.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2)) (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6))) (*.f64 (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2)) (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6)))) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3)) |
(*.f64 (sqrt.f64 2) (*.f64 3 (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) 3)) |
(/.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6)) (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2)))) (*.f64 (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6)) (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 2))))) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3)) |
(*.f64 (sqrt.f64 2) (*.f64 3 (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) 3)) |
(/.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6)) (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2))) (*.f64 (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6)) (/.f64 (/.f64 4/3 (sqrt.f64 2)) (*.f64 (PI.f64) 2)))) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3)) |
(*.f64 (sqrt.f64 2) (*.f64 3 (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) 3)) |
(/.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6)) (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6))) (*.f64 (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6)) (/.f64 (/.f64 4 (PI.f64)) (*.f64 (sqrt.f64 2) 6)))) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3)) |
(*.f64 (sqrt.f64 2) (*.f64 3 (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) 3)) |
(pow.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))) 1) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3)) |
(*.f64 (sqrt.f64 2) (*.f64 3 (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) 3)) |
(neg.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2))))) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 2) 3)) |
(*.f64 (sqrt.f64 2) (*.f64 3 (PI.f64))) |
(*.f64 (sqrt.f64 2) (*.f64 (PI.f64) 3)) |
(+.f64 (sqrt.f64 2) (*.f64 2 (sqrt.f64 2))) |
(+.f64 (*.f64 3 (sqrt.f64 2)) 0) |
(*.f64 (sqrt.f64 2) 3) |
(+.f64 0 (*.f64 3 (sqrt.f64 2))) |
(*.f64 (sqrt.f64 2) 3) |
(+.f64 (*.f64 2 (sqrt.f64 2)) (sqrt.f64 2)) |
(+.f64 (sqrt.f64 2) (*.f64 2 (sqrt.f64 2))) |
(+.f64 (*.f64 (sqrt.f64 2) 3/2) (*.f64 (sqrt.f64 2) 3/2)) |
(*.f64 (sqrt.f64 2) 3) |
(-.f64 (*.f64 3 (sqrt.f64 2)) 0) |
(*.f64 (sqrt.f64 2) 3) |
(-.f64 0 (neg.f64 (*.f64 3 (sqrt.f64 2)))) |
(*.f64 (sqrt.f64 2) 3) |
(/.f64 (*.f64 3 (sqrt.f64 2)) 1) |
(*.f64 (sqrt.f64 2) 3) |
(/.f64 (*.f64 (sqrt.f64 2) 6) 2) |
(*.f64 (sqrt.f64 2) 3) |
(/.f64 (neg.f64 (*.f64 3 (sqrt.f64 2))) -1) |
(*.f64 (sqrt.f64 2) 3) |
(/.f64 (*.f64 (sqrt.f64 2) 12) 4) |
(*.f64 (sqrt.f64 2) 3) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 2) 12)) 8) |
(*.f64 (sqrt.f64 2) 3) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 2) 12)) (*.f64 2 (*.f64 (sqrt.f64 2) 12))) 16) |
(*.f64 (sqrt.f64 2) 3) |
(pow.f64 (*.f64 3 (sqrt.f64 2)) 1) |
(*.f64 (sqrt.f64 2) 3) |
(neg.f64 (neg.f64 (*.f64 3 (sqrt.f64 2)))) |
(*.f64 (sqrt.f64 2) 3) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| 0.0b | (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) | |
| 0.1b | (*.f64 v (*.f64 v 6)) | |
| 1.0b | (/.f64 4/3 (PI.f64)) |
Compiled 44 to 32 computations (27.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | v | @ | inf | (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| 1.0ms | v | @ | 0 | (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| 0.0ms | v | @ | -inf | (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| 1× | batch-egg-rewrite |
| 1458× | rational.json-1 |
| 1458× | rational.json-2 |
| 1458× | rational.json-4 |
| 1458× | rational.json-3 |
| 1438× | exponential.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 37 |
| 1 | 105 | 37 |
| 2 | 255 | 37 |
| 3 | 712 | 37 |
| 4 | 2259 | 37 |
| 5 | 5507 | 37 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (PI.f64) 2)) (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2) (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 4/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (PI.f64)) (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (PI.f64)) (*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 8/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4/3 (PI.f64)) 4) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 2 (*.f64 (PI.f64) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 (PI.f64)) (/.f64 -1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 -1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 8/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (/.f64 8/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1/2) (/.f64 8/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (PI.f64) 4)) (/.f64 8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4)) (*.f64 (/.f64 4/3 (PI.f64)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 -4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (PI.f64)) (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64))))))) |
| 1× | egg-herbie |
| 1198× | rational.json-simplify-35 |
| 980× | rational.json-simplify-2 |
| 900× | rational.json-simplify-50 |
| 784× | rational.json-simplify-51 |
| 780× | rational.json-simplify-44 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 172 | 2899 |
| 1 | 371 | 2881 |
| 2 | 753 | 2881 |
| 3 | 1536 | 2881 |
| 4 | 3823 | 2881 |
| 5 | 5433 | 2881 |
| 6 | 6333 | 2881 |
| 7 | 7437 | 2881 |
| 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 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64)))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.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 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.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 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 (*.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)))))) |
(*.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 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0) |
(+.f64 0 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)))) |
(+.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(+.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (PI.f64) 2)) (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (PI.f64) 2))) |
(+.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2) (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2)) |
(-.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0) |
(-.f64 0 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(-.f64 0 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64))) |
(*.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 2 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 2 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (PI.f64) 2))) |
(*.f64 2 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2)) |
(*.f64 2 (*.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 4/3 (PI.f64)))) |
(*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1) |
(*.f64 1 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 8/3 (PI.f64)) (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 8/3 (PI.f64)) (*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1/2)) |
(*.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (PI.f64))) |
(*.f64 (/.f64 (/.f64 8/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1/2) |
(*.f64 (*.f64 (/.f64 4/3 (PI.f64)) 4) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4))) |
(*.f64 (/.f64 8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 2 (*.f64 (PI.f64) 4))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 4/3 (PI.f64))) |
(*.f64 (/.f64 -4/3 (PI.f64)) (/.f64 -1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 -1 (PI.f64))) |
(*.f64 -1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 -1 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64))) |
(*.f64 (/.f64 1 (PI.f64)) (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 8/3 (PI.f64))) |
(*.f64 1/2 (/.f64 (/.f64 8/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1/2) (/.f64 8/3 (PI.f64))) |
(*.f64 (/.f64 2 (*.f64 (PI.f64) 4)) (/.f64 8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) -1) |
(*.f64 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) -1) |
(*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 2) |
(*.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2) 2) |
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4)) (*.f64 (/.f64 4/3 (PI.f64)) 4)) |
(*.f64 (/.f64 -1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 -4/3 (PI.f64))) |
(*.f64 (/.f64 -1 (PI.f64)) (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1) |
(neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(neg.f64 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (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 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64)))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (PI.f64))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.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)))))) |
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(+.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2) (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2)) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(-.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(-.f64 0 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(-.f64 0 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 2 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 2 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (PI.f64) 2))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 2 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2)) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 2 (*.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 4/3 (PI.f64)))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 1 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 (/.f64 8/3 (PI.f64)) (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 (/.f64 8/3 (PI.f64)) (*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1/2)) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 1/2 (/.f64 8/3 (PI.f64)))) |
(*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 8/3 (PI.f64)))) |
(*.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (PI.f64))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 (/.f64 (/.f64 8/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1/2) |
(*.f64 1/2 (/.f64 (/.f64 8/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 1/2 (/.f64 8/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (*.f64 (/.f64 4/3 (PI.f64)) 4) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 (/.f64 8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 2 (*.f64 (PI.f64) 4))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 4/3 (PI.f64))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 (/.f64 -4/3 (PI.f64)) (/.f64 -1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 -1 (PI.f64))) |
(*.f64 -1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 -1 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 (/.f64 1 (PI.f64)) (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 8/3 (PI.f64))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 1/2 (/.f64 (/.f64 8/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 1/2 (/.f64 8/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1/2) (/.f64 8/3 (PI.f64))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 1/2 (/.f64 8/3 (PI.f64)))) |
(*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 8/3 (PI.f64)))) |
(*.f64 (/.f64 2 (*.f64 (PI.f64) 4)) (/.f64 8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) -1) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) -1) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 2) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2) 2) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4)) (*.f64 (/.f64 4/3 (PI.f64)) 4)) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 (/.f64 -1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 -4/3 (PI.f64))) |
(*.f64 (/.f64 -4/3 (PI.f64)) (/.f64 -1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 -1 (PI.f64)) (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 -1 (PI.f64))) |
(pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(neg.f64 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) | |
| ✓ | 0.0b | (/.f64 (/.f64 4 (*.f64 3 (PI.f64))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| 0.1b | (*.f64 v (*.f64 v 6)) |
Compiled 52 to 39 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | v | @ | 0 | (/.f64 (/.f64 4 (*.f64 3 (PI.f64))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| 0.0ms | v | @ | inf | (/.f64 (/.f64 4 (*.f64 3 (PI.f64))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| 0.0ms | v | @ | -inf | (/.f64 (/.f64 4 (*.f64 3 (PI.f64))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| 1× | batch-egg-rewrite |
| 2056× | rational.json-1 |
| 1258× | exponential.json-3 |
| 1258× | rational.json-2 |
| 1258× | rational.json-4 |
| 1258× | rational.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 37 |
| 1 | 121 | 37 |
| 2 | 303 | 37 |
| 3 | 954 | 37 |
| 4 | 3566 | 37 |
| 5 | 7985 | 37 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 4 (*.f64 3 (PI.f64))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 4/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 -4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (PI.f64)) (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (/.f64 4/3 (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1/2) (*.f64 (/.f64 4/3 (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (PI.f64) 6)) (*.f64 2 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (PI.f64) 6)) (/.f64 8 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 3 (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (*.f64 4 (/.f64 4/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 -4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 3 (PI.f64))) (/.f64 -4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 3 (PI.f64)))))))) |
| 1× | egg-herbie |
| 1494× | rational.json-simplify-35 |
| 1126× | rational.json-simplify-51 |
| 1038× | rational.json-simplify-2 |
| 754× | rational.json-simplify-50 |
| 710× | rational.json-simplify-1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 180 | 3020 |
| 1 | 404 | 2978 |
| 2 | 857 | 2978 |
| 3 | 1883 | 2978 |
| 4 | 3802 | 2978 |
| 5 | 5452 | 2978 |
| 6 | 6277 | 2978 |
| 7 | 7458 | 2978 |
| 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 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64)))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.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 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.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 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 (*.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)))))) |
(*.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 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0) |
(+.f64 0 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(-.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0) |
(*.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 2 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 2 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2)) |
(*.f64 2 (*.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 4/3 (PI.f64)))) |
(*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1) |
(*.f64 1 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (*.f64 (/.f64 4/3 (PI.f64)) 2) (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (*.f64 (/.f64 4/3 (PI.f64)) 2) (*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1/2)) |
(*.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1/3 (PI.f64))) |
(*.f64 (*.f64 2 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 1/2) |
(*.f64 (*.f64 4 (/.f64 4/3 (PI.f64))) (/.f64 1 (*.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (*.f64 2 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 1 (*.f64 (PI.f64) 6))) |
(*.f64 (/.f64 8 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (*.f64 (PI.f64) 6))) |
(*.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (PI.f64))) |
(*.f64 (/.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) 1/3) |
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 4/3 (PI.f64))) |
(*.f64 (/.f64 -4/3 (PI.f64)) (/.f64 -1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 -4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 -1 (*.f64 3 (PI.f64)))) |
(*.f64 -1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 -1 (/.f64 (/.f64 -4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 3 (PI.f64)))) |
(*.f64 (/.f64 1 (PI.f64)) (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 1/3 (/.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64))) |
(*.f64 (/.f64 1/3 (PI.f64)) (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 1/2 (*.f64 2 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (/.f64 4/3 (PI.f64)) 2)) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1/2) (*.f64 (/.f64 4/3 (PI.f64)) 2)) |
(*.f64 (/.f64 1 (*.f64 (PI.f64) 6)) (*.f64 2 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (/.f64 1 (*.f64 (PI.f64) 6)) (/.f64 8 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 1 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 4 (PI.f64))) |
(*.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) -1) |
(*.f64 (/.f64 (/.f64 -4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 3 (PI.f64))) -1) |
(*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 2) |
(*.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2) 2) |
(*.f64 (/.f64 1 (*.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (*.f64 4 (/.f64 4/3 (PI.f64)))) |
(*.f64 (/.f64 -1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 -4/3 (PI.f64))) |
(*.f64 (/.f64 -1 (*.f64 3 (PI.f64))) (/.f64 -4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (+.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 4/3 (PI.f64))) |
(pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1) |
(neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(neg.f64 (/.f64 (/.f64 -4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 3 (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 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64)))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (PI.f64))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.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 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 2/3 (*.f64 (pow.f64 v 4) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))))) |
(+.f64 (/.f64 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (PI.f64)) (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (/.f64 (/.f64 (pow.f64 v 4) (sqrt.f64 1/2)) (PI.f64)) 2/3)))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 2/3 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 1/2) (PI.f64))))))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (PI.f64)) (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 2/3 (/.f64 (/.f64 (pow.f64 v 4) (sqrt.f64 1/2)) (PI.f64)))))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.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 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 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 v 4) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 2/3 (*.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2))) (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 2/3 (+.f64 (*.f64 (pow.f64 v 6) (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2))) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 (pow.f64 v 4) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) |
(+.f64 (/.f64 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (PI.f64)) (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 2/3 (+.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (/.f64 (pow.f64 v 4) (sqrt.f64 1/2)) (PI.f64))) (*.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2))) (/.f64 (/.f64 (pow.f64 v 6) (sqrt.f64 1/2)) (PI.f64))))))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 2/3 (+.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2))) (/.f64 (/.f64 (pow.f64 v 6) (sqrt.f64 1/2)) (PI.f64))))))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 2/3 (+.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 (-.f64 27/2 (*.f64 3/4 (*.f64 2 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2))))) (/.f64 (/.f64 (pow.f64 v 6) (sqrt.f64 1/2)) (PI.f64))))))) |
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(*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))) |
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(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1/3 (PI.f64))) |
(*.f64 (*.f64 2 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 1/2) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (*.f64 4 (/.f64 4/3 (PI.f64))) (/.f64 1 (*.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 4 (*.f64 (/.f64 4/3 (PI.f64)) (/.f64 1/4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (/.f64 4/3 (PI.f64)) (*.f64 4 (/.f64 1/4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (*.f64 2 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 1 (*.f64 (PI.f64) 6))) |
(*.f64 2 (*.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (*.f64 (PI.f64) 6)))) |
(*.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (/.f64 1/6 (PI.f64)) 2)) |
(*.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 2 (/.f64 1/6 (PI.f64)))) |
(*.f64 2 (*.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1/6 (PI.f64)))) |
(*.f64 (/.f64 8 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (*.f64 (PI.f64) 6))) |
(*.f64 (/.f64 1 (*.f64 (PI.f64) 6)) (/.f64 8 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 1/6 (PI.f64)) (/.f64 8 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (PI.f64))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) 1/3) |
(*.f64 1/3 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 1/3 (/.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64))) |
(*.f64 1/3 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 4 (PI.f64))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 4/3 (PI.f64))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 -4/3 (PI.f64)) (/.f64 -1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 -4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 -1 (*.f64 3 (PI.f64)))) |
(*.f64 (/.f64 -4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 -1/3 (PI.f64))) |
(*.f64 -1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 -1 (/.f64 (/.f64 -4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 3 (PI.f64)))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 1 (PI.f64)) (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 1/3 (/.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64))) |
(*.f64 1/3 (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 1/3 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (/.f64 1/3 (PI.f64)) (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1/3 (PI.f64))) |
(*.f64 1/2 (*.f64 2 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (/.f64 4/3 (PI.f64)) 2)) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1/2) (*.f64 (/.f64 4/3 (PI.f64)) 2)) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 1 (*.f64 (PI.f64) 6)) (*.f64 2 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 2 (*.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (*.f64 (PI.f64) 6)))) |
(*.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (/.f64 1/6 (PI.f64)) 2)) |
(*.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 2 (/.f64 1/6 (PI.f64)))) |
(*.f64 2 (*.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1/6 (PI.f64)))) |
(*.f64 (/.f64 1 (*.f64 (PI.f64) 6)) (/.f64 8 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 1/6 (PI.f64)) (/.f64 8 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 1 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 4 (PI.f64))) |
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 4 (PI.f64))) |
(*.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) -1) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 (/.f64 -4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 3 (PI.f64))) -1) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 2) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2) 2) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 1 (*.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (*.f64 4 (/.f64 4/3 (PI.f64)))) |
(*.f64 4 (*.f64 (/.f64 4/3 (PI.f64)) (/.f64 1/4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (/.f64 4/3 (PI.f64)) (*.f64 4 (/.f64 1/4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (/.f64 -1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 -4/3 (PI.f64))) |
(*.f64 (/.f64 -4/3 (PI.f64)) (/.f64 -1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 -1 (*.f64 3 (PI.f64))) (/.f64 -4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 -4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 -1/3 (PI.f64))) |
(*.f64 (+.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 4/3 (PI.f64))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(neg.f64 (/.f64 (/.f64 -4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 3 (PI.f64)))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
Compiled 17516 to 14641 computations (16.4% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 683 | 5 | 688 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 3 | 5 |
| Total | 685 | 9 | 694 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (/.f64 4 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| ✓ | 0.7b | (/.f64 (/.f64 4 (*.f64 3 (PI.f64))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| ✓ | 0.0b | (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) |
| ▶ | 0.7b | (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) |
| ▶ | 0.7b | (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)) |
| ▶ | 0.7b | (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
| ▶ | 1.6b | (+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)))) |
| ▶ | 0.7b | (*.f64 (/.f64 4 (PI.f64)) (/.f64 1 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
| ✓ | 1.7b | (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
Compiled 196 to 170 computations (13.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 v (*.f64 v 6)) | |
| ✓ | 1.0b | (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| ✓ | 1.0b | (/.f64 1 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
| ✓ | 1.0b | (*.f64 (/.f64 4 (PI.f64)) (/.f64 1 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
Compiled 72 to 56 computations (22.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | v | @ | inf | (/.f64 1 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
| 0.0ms | v | @ | 0 | (/.f64 1 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
| 0.0ms | v | @ | 0 | (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| 0.0ms | v | @ | inf | (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| 0.0ms | v | @ | -inf | (/.f64 1 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
| 1× | batch-egg-rewrite |
| 1620× | rational.json-1 |
| 1620× | rational.json-2 |
| 1620× | rational.json-4 |
| 1620× | rational.json-3 |
| 1608× | exponential.json-3 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 101 |
| 1 | 136 | 101 |
| 2 | 280 | 101 |
| 3 | 672 | 95 |
| 4 | 1997 | 95 |
| 5 | 5587 | 95 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(/.f64 1 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 4 (PI.f64)) (*.f64 6 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (/.f64 4 (PI.f64)) (*.f64 6 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (PI.f64) 2)) (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 2 (*.f64 6 (/.f64 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| 1× | egg-herbie |
| 1916× | rational.json-simplify-35 |
| 924× | rational.json-simplify-44 |
| 794× | rational.json-simplify-41 |
| 744× | rational.json-simplify-46 |
| 710× | rational.json-simplify-50 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 689 | 12407 |
| 1 | 2135 | 11985 |
| 2 | 6574 | 11969 |
| 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 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64)))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.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 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.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 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 (*.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)))))) |
(*.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 1/3 (sqrt.f64 1/2)) |
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))) (*.f64 1/3 (sqrt.f64 1/2))) |
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))) (+.f64 (*.f64 1/3 (sqrt.f64 1/2)) (*.f64 1/6 (/.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (sqrt.f64 1/2))))) |
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))) (+.f64 (*.f64 1/3 (sqrt.f64 1/2)) (+.f64 (*.f64 1/6 (/.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))))) (sqrt.f64 1/2))) (*.f64 1/6 (/.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (sqrt.f64 1/2)))))) |
(*.f64 1/3 (/.f64 (sqrt.f64 -1/6) v)) |
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(/.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 4 (PI.f64))))) (neg.f64 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(pow.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 1) |
(+.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0) |
(+.f64 0 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(+.f64 (/.f64 1 (*.f64 6 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 1 (*.f64 6 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(-.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0) |
(*.f64 1 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 2 (/.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2)) |
(*.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1) |
(*.f64 1/3 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (*.f64 2 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 1/2) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1/3) |
(*.f64 1/2 (*.f64 2 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (/.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2) 2) |
(pow.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1) |
(+.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(+.f64 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0) |
(+.f64 0 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(+.f64 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(-.f64 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0) |
(-.f64 0 (neg.f64 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/3) |
(/.f64 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1) |
(/.f64 (*.f64 6 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 12) 4) |
(/.f64 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2/3) |
(/.f64 (neg.f64 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) -1) |
(/.f64 (*.f64 6 (*.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 8) |
(/.f64 (*.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 4/3) |
(/.f64 (*.f64 2 (neg.f64 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) -2) |
(/.f64 (*.f64 2 (*.f64 6 (*.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) 16) |
(/.f64 (*.f64 2 (*.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 8/3) |
(/.f64 (/.f64 (*.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1/3) 4) |
(/.f64 (+.f64 (/.f64 (*.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1/3) (/.f64 (*.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1/3)) 8) |
(pow.f64 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1) |
(neg.f64 (neg.f64 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
| Outputs |
|---|
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.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 (pow.f64 v 2) (sqrt.f64 1/2)) (PI.f64))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.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 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 2/3 (*.f64 (pow.f64 v 4) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))))) |
(+.f64 (*.f64 2/3 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (PI.f64)))) |
(+.f64 (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (PI.f64))) (*.f64 2/3 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 1/2) (PI.f64)))))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.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 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 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 v 4) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 2/3 (*.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2))) (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) |
(+.f64 (*.f64 2/3 (+.f64 (*.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2))) (/.f64 (/.f64 (pow.f64 v 6) (sqrt.f64 1/2)) (PI.f64))) (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (PI.f64)))) |
(+.f64 (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (PI.f64))) (*.f64 2/3 (+.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2))) (/.f64 (/.f64 (pow.f64 v 6) (sqrt.f64 1/2)) (PI.f64)))))) |
(*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))) |
(*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) |
(-.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 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) (*.f64 1/27 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))) |
(-.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) (*.f64 1/27 (/.f64 (/.f64 (/.f64 1 (pow.f64 v 3)) (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 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 5))))) (-.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) (*.f64 1/27 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) (-.f64 (*.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 (/.f64 (/.f64 1 (pow.f64 v 3)) (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)))))) |
(+.f64 (+.f64 (*.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 5))))) (*.f64 -2/3 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) 1/6))) (*.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 7)))))) (-.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) (*.f64 1/27 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))))) |
(+.f64 (-.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) (*.f64 1/27 (/.f64 (/.f64 (/.f64 1 (pow.f64 v 3)) (sqrt.f64 -1/6)) (PI.f64)))) (*.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)) 1/6))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 7)))) (/.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 (-.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) (*.f64 1/27 (/.f64 (/.f64 (/.f64 1 (pow.f64 v 3)) (sqrt.f64 -1/6)) (PI.f64)))) (*.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 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) 1/6))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 7))))))) |
(*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))) |
(*.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) -4/3) |
(+.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 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))) (*.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) -4/3)) |
(+.f64 (*.f64 1/27 (/.f64 (/.f64 (/.f64 1 (pow.f64 v 3)) (sqrt.f64 -1/6)) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) -4/3)) |
(+.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 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))) (+.f64 (*.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) -4/3) (*.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 5))))))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) -4/3) (+.f64 (*.f64 1/27 (/.f64 (/.f64 (/.f64 1 (pow.f64 v 3)) (sqrt.f64 -1/6)) (PI.f64))) (*.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 (*.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 (*.f64 1/27 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))) (+.f64 (*.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) -4/3) (+.f64 (*.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 5))))) (*.f64 2/3 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) 1/6))) (*.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 7)))))))) |
(+.f64 (*.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)) 1/6))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 7)))) (/.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 (*.f64 1/27 (/.f64 (/.f64 (/.f64 1 (pow.f64 v 3)) (sqrt.f64 -1/6)) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) -4/3))) |
(+.f64 (+.f64 (*.f64 1/27 (/.f64 (/.f64 (/.f64 1 (pow.f64 v 3)) (sqrt.f64 -1/6)) (PI.f64))) (*.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) -4/3)) (*.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 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) 1/6))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 7))))))) |
(*.f64 1/3 (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 1/2) 1/3) |
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))) (*.f64 1/3 (sqrt.f64 1/2))) |
(+.f64 (*.f64 (sqrt.f64 1/2) 1/3) (*.f64 1/4 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)))) |
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))) (+.f64 (*.f64 1/3 (sqrt.f64 1/2)) (*.f64 1/6 (/.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (sqrt.f64 1/2))))) |
(+.f64 (*.f64 (sqrt.f64 1/2) 1/3) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 v 4) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)))) (*.f64 1/4 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))))) |
(+.f64 (*.f64 (sqrt.f64 1/2) 1/3) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))) (*.f64 1/6 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (sqrt.f64 1/2)))))) |
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))) (+.f64 (*.f64 1/3 (sqrt.f64 1/2)) (+.f64 (*.f64 1/6 (/.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))))) (sqrt.f64 1/2))) (*.f64 1/6 (/.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (sqrt.f64 1/2)))))) |
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(pow.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1) |
(/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(+.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(+.f64 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0) |
(*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(+.f64 0 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(+.f64 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(+.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(-.f64 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0) |
(*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(-.f64 0 (neg.f64 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/3) |
(/.f64 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1) |
(*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 (*.f64 6 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2) |
(*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 12) 4) |
(*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2/3) |
(*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 (neg.f64 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) -1) |
(*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 (*.f64 6 (*.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 8) |
(*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 (*.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 4/3) |
(*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 (*.f64 2 (neg.f64 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) -2) |
(*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 (*.f64 2 (*.f64 6 (*.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) 16) |
(*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 (*.f64 2 (*.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 8/3) |
(*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 (/.f64 (*.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1/3) 4) |
(*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 (+.f64 (/.f64 (*.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1/3) (/.f64 (*.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1/3)) 8) |
(*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(pow.f64 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1) |
(*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(neg.f64 (neg.f64 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.0b | (/.f64 4/3 (PI.f64)) |
Compiled 15 to 13 computations (13.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
| 0.0b | (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) | |
| ✓ | 0.0b | (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| 0.1b | (*.f64 v (*.f64 v 6)) |
Compiled 51 to 37 computations (27.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | v | @ | inf | (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| 0.0ms | v | @ | 0 | (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| 0.0ms | v | @ | inf | (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
| 0.0ms | v | @ | -inf | (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| 0.0ms | v | @ | 0 | (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
| 1× | batch-egg-rewrite |
| 1682× | rational.json-1 |
| 1682× | rational.json-2 |
| 1682× | rational.json-4 |
| 1682× | rational.json-3 |
| 1680× | exponential.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 68 |
| 1 | 101 | 68 |
| 2 | 221 | 68 |
| 3 | 581 | 68 |
| 4 | 1728 | 68 |
| 5 | 4969 | 68 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 2/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 (/.f64 2/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 2/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (/.f64 2/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 4/3 (PI.f64))) (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 4/3 (PI.f64))) (*.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 4/3 (PI.f64))) (*.f64 1/2 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (/.f64 1 (PI.f64)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 (PI.f64)) (/.f64 -1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 (PI.f64)) (*.f64 (/.f64 -1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 2 (/.f64 4/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 -4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) |
| 1× | egg-herbie |
| 1562× | rational.json-simplify-39 |
| 1174× | rational.json-simplify-2 |
| 758× | rational.json-simplify-53 |
| 656× | rational.json-simplify-51 |
| 562× | rational.json-simplify-35 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 221 | 3682 |
| 1 | 543 | 3644 |
| 2 | 1106 | 3476 |
| 3 | 3046 | 3454 |
| 4 | 4595 | 3454 |
| 5 | 5036 | 3454 |
| 6 | 6069 | 3454 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 2) (PI.f64)) |
(+.f64 (*.f64 -3 (/.f64 (*.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64))) |
(+.f64 (*.f64 -9/2 (/.f64 (*.f64 (pow.f64 v 4) (PI.f64)) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (*.f64 -3 (/.f64 (*.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64)))) |
(+.f64 (*.f64 -9/2 (/.f64 (*.f64 (pow.f64 v 4) (PI.f64)) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (*.f64 -3 (/.f64 (*.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (+.f64 (*.f64 -27/2 (/.f64 (*.f64 (pow.f64 v 6) (PI.f64)) (pow.f64 (sqrt.f64 2) 5))) (*.f64 (sqrt.f64 2) (PI.f64))))) |
(*.f64 (sqrt.f64 -6) (*.f64 v (PI.f64))) |
(+.f64 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v)) (*.f64 (sqrt.f64 -6) (*.f64 v (PI.f64)))) |
(+.f64 (*.f64 (sqrt.f64 -6) (*.f64 v (PI.f64))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))))) |
(+.f64 (*.f64 (sqrt.f64 -6) (*.f64 v (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))))) |
(*.f64 -1 (*.f64 v (*.f64 (sqrt.f64 -6) (PI.f64)))) |
(+.f64 (*.f64 -1 (*.f64 v (*.f64 (sqrt.f64 -6) (PI.f64)))) (*.f64 -1 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v)))) |
(+.f64 (*.f64 -1 (*.f64 v (*.f64 (sqrt.f64 -6) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))) |
(+.f64 (*.f64 -1 (*.f64 v (*.f64 (sqrt.f64 -6) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))))) |
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.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 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.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 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.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 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 (*.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)))))) |
(*.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 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0) |
(+.f64 0 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(-.f64 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0) |
(-.f64 0 (neg.f64 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(/.f64 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1) |
(/.f64 (*.f64 2 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 2) |
(/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4)) 4) |
(/.f64 (neg.f64 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) -1) |
(/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 8) 8) |
(/.f64 (*.f64 2 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 8)) 16) |
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1) |
(neg.f64 (neg.f64 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(+.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 0) |
(+.f64 0 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(+.f64 (/.f64 (/.f64 2/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 (/.f64 2/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(-.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 0) |
(*.f64 2 (/.f64 (/.f64 2/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 2 (*.f64 (/.f64 (/.f64 2/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1)) |
(*.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 1) |
(*.f64 1 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (*.f64 2 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) 1/2) |
(*.f64 (*.f64 2 (/.f64 4/3 (PI.f64))) (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (*.f64 2 (/.f64 4/3 (PI.f64))) (*.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1)) |
(*.f64 (*.f64 2 (/.f64 4/3 (PI.f64))) (*.f64 1/2 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (PI.f64))) |
(*.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (/.f64 1 (PI.f64)) 1)) |
(*.f64 (/.f64 -4/3 (PI.f64)) (/.f64 -1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 -4/3 (PI.f64)) (*.f64 (/.f64 -1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1)) |
(*.f64 -1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 -1 (*.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 4/3 (PI.f64))) |
(*.f64 1/2 (*.f64 2 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))) |
(*.f64 (/.f64 1 (PI.f64)) (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) -1) |
(*.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 2 (/.f64 4/3 (PI.f64)))) |
(*.f64 (/.f64 -1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 -4/3 (PI.f64))) |
(*.f64 (/.f64 (/.f64 2/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2) |
(pow.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 1) |
(neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 2) (PI.f64)) |
(+.f64 (*.f64 -3 (/.f64 (*.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64))) |
(+.f64 (*.f64 (sqrt.f64 2) (PI.f64)) (*.f64 -3 (/.f64 (*.f64 (PI.f64) (pow.f64 v 2)) (sqrt.f64 2)))) |
(+.f64 (*.f64 (sqrt.f64 2) (PI.f64)) (*.f64 -3 (*.f64 (pow.f64 v 2) (/.f64 (PI.f64) (sqrt.f64 2))))) |
(*.f64 (PI.f64) (+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))) |
(+.f64 (*.f64 -9/2 (/.f64 (*.f64 (pow.f64 v 4) (PI.f64)) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (*.f64 -3 (/.f64 (*.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (PI.f64)))) |
(+.f64 (*.f64 -3 (/.f64 (*.f64 (PI.f64) (pow.f64 v 2)) (sqrt.f64 2))) (+.f64 (*.f64 (sqrt.f64 2) (PI.f64)) (*.f64 -9/2 (*.f64 (PI.f64) (/.f64 (pow.f64 v 4) (sqrt.f64 8)))))) |
(+.f64 (*.f64 (sqrt.f64 2) (PI.f64)) (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 (pow.f64 v 4) (sqrt.f64 8)) -9/2)) (*.f64 -3 (*.f64 (pow.f64 v 2) (/.f64 (PI.f64) (sqrt.f64 2)))))) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (/.f64 (PI.f64) (sqrt.f64 2)))) (*.f64 (PI.f64) (+.f64 (sqrt.f64 2) (*.f64 -9/2 (/.f64 (pow.f64 v 4) (sqrt.f64 8)))))) |
(*.f64 (PI.f64) (+.f64 (*.f64 -9/2 (/.f64 (pow.f64 v 4) (sqrt.f64 8))) (+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2)))))) |
(+.f64 (*.f64 -9/2 (/.f64 (*.f64 (pow.f64 v 4) (PI.f64)) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (*.f64 -3 (/.f64 (*.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (+.f64 (*.f64 -27/2 (/.f64 (*.f64 (pow.f64 v 6) (PI.f64)) (pow.f64 (sqrt.f64 2) 5))) (*.f64 (sqrt.f64 2) (PI.f64))))) |
(+.f64 (*.f64 -3 (/.f64 (*.f64 (PI.f64) (pow.f64 v 2)) (sqrt.f64 2))) (+.f64 (+.f64 (*.f64 (sqrt.f64 2) (PI.f64)) (*.f64 -27/2 (*.f64 (PI.f64) (/.f64 (pow.f64 v 6) (sqrt.f64 32))))) (*.f64 -9/2 (*.f64 (PI.f64) (/.f64 (pow.f64 v 4) (sqrt.f64 8)))))) |
(+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 (pow.f64 v 4) (sqrt.f64 8)) -9/2)) (+.f64 (*.f64 (sqrt.f64 2) (PI.f64)) (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 (pow.f64 v 6) (sqrt.f64 32)) -27/2)) (*.f64 -3 (*.f64 (pow.f64 v 2) (/.f64 (PI.f64) (sqrt.f64 2))))))) |
(+.f64 (*.f64 (PI.f64) (+.f64 (sqrt.f64 2) (*.f64 -3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))) (+.f64 (*.f64 -27/2 (*.f64 (pow.f64 v 6) (/.f64 (PI.f64) (sqrt.f64 32)))) (*.f64 -9/2 (*.f64 (PI.f64) (/.f64 (pow.f64 v 4) (sqrt.f64 8)))))) |
(+.f64 (*.f64 -3 (*.f64 (pow.f64 v 2) (/.f64 (PI.f64) (sqrt.f64 2)))) (*.f64 (PI.f64) (+.f64 (*.f64 -27/2 (/.f64 (pow.f64 v 6) (sqrt.f64 32))) (+.f64 (sqrt.f64 2) (*.f64 -9/2 (/.f64 (pow.f64 v 4) (sqrt.f64 8))))))) |
(+.f64 (*.f64 (pow.f64 v 2) (*.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2)))) (*.f64 (PI.f64) (+.f64 (*.f64 -9/2 (/.f64 (pow.f64 v 4) (sqrt.f64 8))) (+.f64 (sqrt.f64 2) (*.f64 -27/2 (/.f64 (pow.f64 v 6) (sqrt.f64 32))))))) |
(*.f64 (sqrt.f64 -6) (*.f64 v (PI.f64))) |
(*.f64 v (*.f64 (PI.f64) (sqrt.f64 -6))) |
(*.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))) |
(+.f64 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v)) (*.f64 (sqrt.f64 -6) (*.f64 v (PI.f64)))) |
(+.f64 (*.f64 v (*.f64 (PI.f64) (sqrt.f64 -6))) (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6))) |
(+.f64 (*.f64 v (*.f64 (PI.f64) (sqrt.f64 -6))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) v)) |
(+.f64 (*.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) v)) |
(+.f64 (*.f64 (sqrt.f64 -6) (*.f64 v (PI.f64))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))))) |
(+.f64 (*.f64 v (*.f64 (PI.f64) (sqrt.f64 -6))) (+.f64 (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6)) (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -216) (pow.f64 v 3)))))) |
(+.f64 (/.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) v) (+.f64 (*.f64 v (*.f64 (PI.f64) (sqrt.f64 -6))) (*.f64 -1/2 (/.f64 (/.f64 (PI.f64) (sqrt.f64 -216)) (pow.f64 v 3))))) |
(+.f64 (/.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) v) (+.f64 (*.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))) (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -216) (pow.f64 v 3)))))) |
(+.f64 (*.f64 (sqrt.f64 -6) (*.f64 v (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))))) |
(+.f64 (*.f64 v (*.f64 (PI.f64) (sqrt.f64 -6))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -216) (pow.f64 v 3)))) (+.f64 (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -7776) (pow.f64 v 5))))))) |
(+.f64 (*.f64 -1/2 (/.f64 (/.f64 (PI.f64) (sqrt.f64 -216)) (pow.f64 v 3))) (+.f64 (+.f64 (*.f64 v (*.f64 (PI.f64) (sqrt.f64 -6))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) v)) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -7776) (pow.f64 v 5)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -216) (pow.f64 v 3)))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -7776) (pow.f64 v 5)))) (+.f64 (*.f64 v (*.f64 (PI.f64) (sqrt.f64 -6))) (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6))))) |
(+.f64 (*.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -216) (pow.f64 v 3)))) (+.f64 (/.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) v) (*.f64 1/2 (/.f64 (/.f64 (PI.f64) (sqrt.f64 -7776)) (pow.f64 v 5)))))) |
(*.f64 -1 (*.f64 v (*.f64 (sqrt.f64 -6) (PI.f64)))) |
(*.f64 (*.f64 v (*.f64 (PI.f64) (sqrt.f64 -6))) -1) |
(neg.f64 (*.f64 v (*.f64 (PI.f64) (sqrt.f64 -6)))) |
(*.f64 v (*.f64 (sqrt.f64 -6) (neg.f64 (PI.f64)))) |
(+.f64 (*.f64 -1 (*.f64 v (*.f64 (sqrt.f64 -6) (PI.f64)))) (*.f64 -1 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v)))) |
(+.f64 (*.f64 (*.f64 v (*.f64 (PI.f64) (sqrt.f64 -6))) -1) (*.f64 (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6)) -1)) |
(*.f64 -1 (+.f64 (*.f64 v (*.f64 (PI.f64) (sqrt.f64 -6))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) v))) |
(*.f64 -1 (+.f64 (*.f64 v (*.f64 (PI.f64) (sqrt.f64 -6))) (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6)))) |
(neg.f64 (+.f64 (*.f64 v (*.f64 (PI.f64) (sqrt.f64 -6))) (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6)))) |
(neg.f64 (+.f64 (*.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) v))) |
(+.f64 (*.f64 -1 (*.f64 v (*.f64 (sqrt.f64 -6) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))) |
(+.f64 (*.f64 (*.f64 v (*.f64 (PI.f64) (sqrt.f64 -6))) -1) (+.f64 (*.f64 (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6)) -1) (*.f64 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -216) (pow.f64 v 3))) 1/2))) |
(+.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (sqrt.f64 -216)) (pow.f64 v 3)) 1/2) (*.f64 -1 (+.f64 (*.f64 v (*.f64 (PI.f64) (sqrt.f64 -6))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) v)))) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 v (*.f64 (PI.f64) (sqrt.f64 -6))) (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6)))) (*.f64 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -216) (pow.f64 v 3))) 1/2)) |
(+.f64 (neg.f64 (+.f64 (*.f64 v (*.f64 (PI.f64) (sqrt.f64 -6))) (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6)))) (*.f64 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -216) (pow.f64 v 3))) 1/2)) |
(+.f64 (neg.f64 (+.f64 (*.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) v))) (*.f64 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -216) (pow.f64 v 3))) 1/2)) |
(+.f64 (*.f64 -1 (*.f64 v (*.f64 (sqrt.f64 -6) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))))) |
(+.f64 (*.f64 (*.f64 v (*.f64 (PI.f64) (sqrt.f64 -6))) -1) (+.f64 (*.f64 (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6)) -1) (+.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -216) (pow.f64 v 3))) 1/2) (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -7776) (pow.f64 v 5))))))) |
(+.f64 (+.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (sqrt.f64 -216)) (pow.f64 v 3)) 1/2) (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -7776) (pow.f64 v 5))))) (*.f64 -1 (+.f64 (*.f64 v (*.f64 (PI.f64) (sqrt.f64 -6))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) v)))) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 v (*.f64 (PI.f64) (sqrt.f64 -6))) (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6)))) (+.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -216) (pow.f64 v 3))) 1/2) (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -7776) (pow.f64 v 5)))))) |
(+.f64 (neg.f64 (+.f64 (*.f64 v (*.f64 (PI.f64) (sqrt.f64 -6))) (/.f64 (/.f64 (PI.f64) v) (sqrt.f64 -6)))) (+.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -216) (pow.f64 v 3))) 1/2) (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -7776) (pow.f64 v 5)))))) |
(+.f64 (neg.f64 (+.f64 (*.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 -6)) v))) (+.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -216) (pow.f64 v 3))) 1/2) (*.f64 -1/2 (/.f64 (/.f64 (PI.f64) (sqrt.f64 -7776)) (pow.f64 v 5))))) |
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64)))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (pow.f64 v 2) (*.f64 (PI.f64) (sqrt.f64 1/2)))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.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 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (PI.f64) (sqrt.f64 1/2))) (*.f64 2/3 (*.f64 (pow.f64 v 4) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (PI.f64) (sqrt.f64 1/2))))))) |
(+.f64 (*.f64 2/3 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (*.f64 (PI.f64) (sqrt.f64 1/2))))) (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (pow.f64 v 2) (*.f64 (PI.f64) (sqrt.f64 1/2))))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (PI.f64) (sqrt.f64 1/2))) (*.f64 2/3 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (*.f64 (PI.f64) (sqrt.f64 1/2))))))) |
(+.f64 (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (pow.f64 v 2) (*.f64 (PI.f64) (sqrt.f64 1/2)))) (*.f64 2/3 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (*.f64 (PI.f64) (sqrt.f64 1/2)))))) |
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(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 2 (/.f64 (/.f64 2/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(+.f64 (/.f64 2/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 2/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(+.f64 (/.f64 (/.f64 2/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 (/.f64 2/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 2 (/.f64 2/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 2 (*.f64 (/.f64 (/.f64 2/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1)) |
(+.f64 (/.f64 2/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 2/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(+.f64 (/.f64 (/.f64 2/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 (/.f64 2/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 2 (/.f64 2/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 1) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 1 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 (*.f64 2 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) 1/2) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 (*.f64 2 (/.f64 4/3 (PI.f64))) (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 2 (*.f64 (/.f64 4/3 (PI.f64)) (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (/.f64 4/3 (PI.f64)) (*.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2)) |
(*.f64 (*.f64 2 (/.f64 4/3 (PI.f64))) (*.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1)) |
(*.f64 2 (*.f64 (/.f64 4/3 (PI.f64)) (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (/.f64 4/3 (PI.f64)) (*.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2)) |
(*.f64 (*.f64 2 (/.f64 4/3 (PI.f64))) (*.f64 1/2 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (PI.f64))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (/.f64 1 (PI.f64)) 1)) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 (/.f64 -4/3 (PI.f64)) (/.f64 -1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 (/.f64 -4/3 (PI.f64)) (*.f64 (/.f64 -1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1)) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 -1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 -1 (*.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1)) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 4/3 (PI.f64))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 1/2 (*.f64 2 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 (/.f64 1 (PI.f64)) (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) -1) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 2 (/.f64 4/3 (PI.f64)))) |
(*.f64 2 (*.f64 (/.f64 4/3 (PI.f64)) (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (/.f64 4/3 (PI.f64)) (*.f64 (/.f64 1/2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2)) |
(*.f64 (/.f64 -1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 -4/3 (PI.f64))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 (/.f64 (/.f64 2/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2) |
(+.f64 (/.f64 2/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 2/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(+.f64 (/.f64 (/.f64 2/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 (/.f64 2/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 2 (/.f64 2/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(pow.f64 (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 1) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) | |
| 0.1b | (*.f64 v (*.f64 v 6)) | |
| ✓ | 1.0b | (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) |
| 1.0b | (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
Compiled 51 to 38 computations (25.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | v | @ | 0 | (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) |
| 0.0ms | v | @ | inf | (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) |
| 0.0ms | v | @ | -inf | (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) |
| 1× | batch-egg-rewrite |
| 1456× | rational.json-1 |
| 1456× | rational.json-2 |
| 1456× | rational.json-4 |
| 1456× | rational.json-3 |
| 1436× | exponential.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 37 |
| 1 | 105 | 37 |
| 2 | 255 | 37 |
| 3 | 712 | 37 |
| 4 | 2258 | 37 |
| 5 | 5507 | 37 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 2 (PI.f64))) (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2) (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (PI.f64)) (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1/2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (/.f64 1 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 1 (*.f64 (PI.f64) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (PI.f64)) (/.f64 2 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 -1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 (PI.f64)) (/.f64 -1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (PI.f64)) (/.f64 8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (/.f64 8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (PI.f64)) 1/2) (/.f64 8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4)) (/.f64 8/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 2 (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (PI.f64) 4)) (*.f64 2 (/.f64 8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (PI.f64)) (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 -4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) |
| 1× | egg-herbie |
| 1202× | rational.json-simplify-35 |
| 976× | rational.json-simplify-2 |
| 866× | rational.json-simplify-50 |
| 780× | rational.json-simplify-51 |
| 776× | rational.json-simplify-44 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 172 | 2995 |
| 1 | 373 | 2965 |
| 2 | 759 | 2965 |
| 3 | 1540 | 2965 |
| 4 | 3812 | 2965 |
| 5 | 5404 | 2965 |
| 6 | 6207 | 2965 |
| 7 | 7236 | 2965 |
| 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 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64)))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.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 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.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 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 (*.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)))))) |
(*.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 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0) |
(+.f64 0 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)))) |
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(+.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 2 (PI.f64))) (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 2 (PI.f64)))) |
(+.f64 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(+.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2) (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2)) |
(-.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0) |
(-.f64 0 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64))) |
(-.f64 0 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 2 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 2 (PI.f64)))) |
(*.f64 2 (/.f64 (/.f64 4/3 (PI.f64)) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 2 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2)) |
(*.f64 2 (*.f64 (/.f64 1/2 (PI.f64)) (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (PI.f64))) |
(*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1) |
(*.f64 1 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1/2 (PI.f64))) |
(*.f64 (/.f64 8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (/.f64 1 (PI.f64)) 1/2)) |
(*.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 (/.f64 8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) 1/2) |
(*.f64 (*.f64 2 (/.f64 8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 1 (*.f64 (PI.f64) 4))) |
(*.f64 (/.f64 8/3 (PI.f64)) (/.f64 2 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4))) |
(*.f64 (/.f64 1 (PI.f64)) (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 -1 (PI.f64))) |
(*.f64 (/.f64 -4/3 (PI.f64)) (/.f64 -1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 -1 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64))) |
(*.f64 -1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 4/3 (PI.f64))) |
(*.f64 (/.f64 1/2 (PI.f64)) (/.f64 8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 1/2 (/.f64 (/.f64 8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64))) |
(*.f64 (*.f64 (/.f64 1 (PI.f64)) 1/2) (/.f64 8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 2 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4)) (/.f64 8/3 (PI.f64))) |
(*.f64 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) -1) |
(*.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) -1) |
(*.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 2 (PI.f64))) 2) |
(*.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2) 2) |
(*.f64 (/.f64 1 (*.f64 (PI.f64) 4)) (*.f64 2 (/.f64 8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (/.f64 -1 (PI.f64)) (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 -1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 -4/3 (PI.f64))) |
(pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1) |
(neg.f64 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64))) |
(neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
| Outputs |
|---|
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.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 (pow.f64 v 2) (sqrt.f64 1/2)) (PI.f64))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.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 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 2/3 (*.f64 (pow.f64 v 4) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 2/3 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 1/2) (PI.f64))))))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (PI.f64)) (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (/.f64 (/.f64 (pow.f64 v 4) (sqrt.f64 1/2)) (PI.f64)) 2/3)))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 2/3 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (/.f64 (pow.f64 v 4) (PI.f64)) (sqrt.f64 1/2)))))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.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 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 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 v 4) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 2/3 (*.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2))) (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 2/3 (+.f64 (*.f64 (pow.f64 v 6) (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2))) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) |
(+.f64 (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (PI.f64))) (*.f64 2/3 (+.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (/.f64 (pow.f64 v 4) (sqrt.f64 1/2)) (PI.f64))) (*.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2))) (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 1/2) (PI.f64))))))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 2/3 (+.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (/.f64 (pow.f64 v 4) (PI.f64)) (sqrt.f64 1/2))) (*.f64 (pow.f64 v 6) (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2))) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 2/3 (+.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (/.f64 (pow.f64 v 4) (PI.f64)) (sqrt.f64 1/2))) (*.f64 (pow.f64 v 6) (/.f64 (-.f64 27/2 (*.f64 3/4 (*.f64 2 (-.f64 9/2 (pow.f64 (/.f64 3/4 (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 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) |
(*.f64 4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) 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 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) (*.f64 1/27 (/.f64 (/.f64 1 (pow.f64 v 3)) (*.f64 (PI.f64) (sqrt.f64 -1/6))))) |
(-.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) (*.f64 1/27 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))) |
(-.f64 (*.f64 4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) v) (PI.f64))) (*.f64 1/27 (/.f64 (/.f64 1 (pow.f64 v 3)) (*.f64 (PI.f64) (sqrt.f64 -1/6))))) |
(-.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) (*.f64 1/27 (/.f64 (/.f64 1 (*.f64 (PI.f64) (pow.f64 v 3))) (sqrt.f64 -1/6)))) |
(-.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 -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 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) (*.f64 1/27 (/.f64 (/.f64 1 (pow.f64 v 3)) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))) |
(+.f64 (-.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) (*.f64 1/27 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))) (*.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/6)))))) |
(+.f64 (-.f64 (*.f64 4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) v) (PI.f64))) (*.f64 1/27 (/.f64 (/.f64 1 (pow.f64 v 3)) (*.f64 (PI.f64) (sqrt.f64 -1/6))))) (*.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 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) (-.f64 (*.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 (/.f64 1 (*.f64 (PI.f64) (pow.f64 v 3))) (sqrt.f64 -1/6))))) |
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(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) -1) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 2 (PI.f64))) 2) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2) 2) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 1 (*.f64 (PI.f64) 4)) (*.f64 2 (/.f64 8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 2 (*.f64 (/.f64 8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (*.f64 (PI.f64) 4)))) |
(*.f64 (/.f64 8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (/.f64 1/4 (PI.f64)) 2)) |
(*.f64 2 (*.f64 (/.f64 8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1/4 (PI.f64)))) |
(*.f64 (/.f64 -1 (PI.f64)) (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 -1 (PI.f64))) |
(*.f64 (/.f64 -1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 -4/3 (PI.f64))) |
(*.f64 (/.f64 -4/3 (PI.f64)) (/.f64 -1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(neg.f64 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 v (*.f64 v 6)) | |
| ✓ | 1.0b | (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) |
| ✓ | 1.0b | (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| ✓ | 1.0b | (+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)))) |
Compiled 83 to 64 computations (22.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | v | @ | inf | (+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)))) |
| 0.0ms | v | @ | 0 | (+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)))) |
| 0.0ms | v | @ | 0 | (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| 0.0ms | v | @ | 0 | (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) |
| 0.0ms | v | @ | inf | (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| 1× | batch-egg-rewrite |
| 1606× | rational.json-1 |
| 1606× | rational.json-2 |
| 1606× | rational.json-4 |
| 1606× | rational.json-3 |
| 1586× | exponential.json-3 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 115 |
| 1 | 137 | 115 |
| 2 | 304 | 109 |
| 3 | 805 | 107 |
| 4 | 2461 | 107 |
| 5 | 6032 | 107 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)))) |
(/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 -1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 4)) (*.f64 2 (*.f64 (neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -4/3 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 -4/3 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 -1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 2 (PI.f64))) (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -8/3 (PI.f64)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4)) (/.f64 (/.f64 -8/3 (PI.f64)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (PI.f64)) (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1/2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (/.f64 1 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 (PI.f64)) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 2 (*.f64 (PI.f64) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -8/3 (PI.f64)) (/.f64 1 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 -1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (PI.f64)) (/.f64 -1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 -4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (PI.f64)) (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (PI.f64)) 1/2) (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 -8/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 2 (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (PI.f64) 8)) (*.f64 2 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (PI.f64)) (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) |
| 1× | egg-herbie |
| 1154× | rational.json-simplify-2 |
| 938× | rational.json-simplify-44 |
| 900× | rational.json-simplify-47 |
| 744× | rational.json-simplify-35 |
| 732× | rational.json-simplify-1 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 279 | 6872 |
| 1 | 611 | 6560 |
| 2 | 1331 | 6386 |
| 3 | 3822 | 6386 |
| 4 | 5241 | 6362 |
| 5 | 6958 | 6362 |
| 6 | 7944 | 6362 |
| 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 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64)))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.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 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.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 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)))))) |
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(*.f64 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2) 2) |
(*.f64 (/.f64 2 (*.f64 (PI.f64) 8)) (*.f64 2 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (/.f64 -1 (PI.f64)) (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 -1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 4/3 (PI.f64))) |
(pow.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1) |
(neg.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64))) |
(neg.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
| Outputs |
|---|
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.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 (pow.f64 v 2) (sqrt.f64 1/2)) (PI.f64))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.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 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 2/3 (*.f64 (pow.f64 v 4) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))))) |
(+.f64 (*.f64 2/3 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (PI.f64)))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 2/3 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (/.f64 (pow.f64 v 4) (PI.f64)) (sqrt.f64 1/2)))))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.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 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 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 v 4) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 2/3 (*.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2))) (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) |
(+.f64 (*.f64 2/3 (+.f64 (*.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2))) (/.f64 (/.f64 (pow.f64 v 6) (sqrt.f64 1/2)) (PI.f64))) (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (PI.f64)))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 2/3 (+.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (/.f64 (pow.f64 v 4) (PI.f64)) (sqrt.f64 1/2))) (*.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2))) (/.f64 (/.f64 (pow.f64 v 6) (PI.f64)) (sqrt.f64 1/2))))))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 2/3 (+.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (/.f64 (pow.f64 v 4) (PI.f64)) (sqrt.f64 1/2))) (*.f64 (-.f64 27/2 (*.f64 3/4 (*.f64 2 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2))))) (/.f64 (/.f64 (pow.f64 v 6) (PI.f64)) (sqrt.f64 1/2))))))) |
(*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))) |
(*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) |
(-.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 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) (*.f64 1/27 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))) |
(-.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) (*.f64 1/27 (/.f64 (/.f64 1 (pow.f64 v 3)) (*.f64 (PI.f64) (sqrt.f64 -1/6))))) |
(-.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) (*.f64 1/27 (/.f64 (/.f64 1 (*.f64 (PI.f64) (pow.f64 v 3))) (sqrt.f64 -1/6)))) |
(-.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 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 5))))) (-.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) (*.f64 1/27 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))))) |
(+.f64 (-.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) (*.f64 1/27 (/.f64 (/.f64 1 (pow.f64 v 3)) (*.f64 (PI.f64) (sqrt.f64 -1/6))))) (*.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 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) (-.f64 (*.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 (/.f64 1 (*.f64 (PI.f64) (pow.f64 v 3))) (sqrt.f64 -1/6))))) |
(-.f64 (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))) (+.f64 (*.f64 -2/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (*.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 (+.f64 (*.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 5))))) (*.f64 -2/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) 1/6)) 1/162) (*.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 7)))))) (-.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) (*.f64 1/27 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) (-.f64 (*.f64 -2/3 (+.f64 (/.f64 (+.f64 (*.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 (+.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 (/.f64 1 (pow.f64 v 3)) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) (-.f64 (*.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 (+.f64 (*.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 (/.f64 1 (*.f64 (PI.f64) (pow.f64 v 3))) (sqrt.f64 -1/6))))) |
(*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))) |
(*.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) -4/3) |
(+.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 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))) (*.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) -4/3)) |
(+.f64 (*.f64 1/27 (/.f64 (/.f64 1 (pow.f64 v 3)) (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (*.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) -4/3)) |
(+.f64 (*.f64 1/27 (/.f64 (/.f64 1 (*.f64 (PI.f64) (pow.f64 v 3))) (sqrt.f64 -1/6))) (*.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) -4/3)) |
(+.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 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))) (+.f64 (*.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) -4/3) (*.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 5))))))) |
(+.f64 (*.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 (*.f64 1/27 (/.f64 (/.f64 1 (pow.f64 v 3)) (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (*.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) -4/3))) |
(+.f64 (*.f64 1/27 (/.f64 (/.f64 1 (*.f64 (PI.f64) (pow.f64 v 3))) (sqrt.f64 -1/6))) (+.f64 (*.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) -4/3) (*.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 (*.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 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (*.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 (*.f64 1/27 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3))))) (+.f64 (*.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) -4/3) (+.f64 (*.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 5))))) (*.f64 2/3 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) 1/6)) 1/162) (*.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 7)))))))) |
(+.f64 (*.f64 2/3 (+.f64 (/.f64 (+.f64 (*.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 (+.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 (*.f64 1/27 (/.f64 (/.f64 1 (pow.f64 v 3)) (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (*.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) -4/3))) |
(+.f64 (*.f64 1/27 (/.f64 (/.f64 1 (*.f64 (PI.f64) (pow.f64 v 3))) (sqrt.f64 -1/6))) (+.f64 (*.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) -4/3) (*.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 (+.f64 (*.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 -4/3 (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 1/2) -4/3) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))) (*.f64 -4/3 (sqrt.f64 1/2))) |
(+.f64 (*.f64 (sqrt.f64 1/2) -4/3) (*.f64 -1 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)))) |
(+.f64 (*.f64 (sqrt.f64 1/2) -4/3) (neg.f64 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))) (+.f64 (*.f64 -2/3 (/.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (sqrt.f64 1/2))) (*.f64 -4/3 (sqrt.f64 1/2)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))) (+.f64 (*.f64 (sqrt.f64 1/2) -4/3) (*.f64 -2/3 (*.f64 (pow.f64 v 4) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)))))) |
(+.f64 (*.f64 (sqrt.f64 1/2) -4/3) (+.f64 (*.f64 (pow.f64 v 4) (*.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) -2/3)) (neg.f64 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))))) |
(+.f64 (*.f64 (sqrt.f64 1/2) -4/3) (+.f64 (neg.f64 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))) (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (/.f64 (pow.f64 v 4) (sqrt.f64 1/2)) -2/3)))) |
(+.f64 (*.f64 (sqrt.f64 1/2) -4/3) (+.f64 (neg.f64 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))) (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 -2/3 (/.f64 (pow.f64 v 4) (sqrt.f64 1/2)))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))) (+.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))))) (sqrt.f64 1/2))) (+.f64 (*.f64 -2/3 (/.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (sqrt.f64 1/2))) (*.f64 -4/3 (sqrt.f64 1/2))))) |
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(/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(pow.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1) |
(+.f64 -1 (-.f64 1 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(neg.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(+.f64 -1 (-.f64 1 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(+.f64 -1 (+.f64 1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(+.f64 1 (+.f64 -1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(+.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(+.f64 0 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(+.f64 (+.f64 -1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 1) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(+.f64 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 2 (PI.f64))) (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 2 (PI.f64)))) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(+.f64 (/.f64 (/.f64 -8/3 (PI.f64)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4)) (/.f64 (/.f64 -8/3 (PI.f64)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4))) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(-.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(-.f64 (+.f64 -1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) -1) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(-.f64 (+.f64 1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 1) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 -1 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64))) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 -1 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 1 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 2 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 2 (PI.f64)))) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 2 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2)) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 2 (*.f64 (/.f64 1/2 (PI.f64)) (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (PI.f64))) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1/2 (PI.f64))) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (/.f64 1 (PI.f64)) 1/2)) |
(*.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 1/2 (/.f64 1 (PI.f64)))) |
(*.f64 1/2 (*.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (PI.f64)))) |
(*.f64 1/2 (/.f64 -8/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (/.f64 -4/3 (PI.f64)) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) 1/2) |
(*.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 1/2 (/.f64 1 (PI.f64)))) |
(*.f64 1/2 (*.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (PI.f64)))) |
(*.f64 1/2 (/.f64 -8/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (*.f64 2 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 2 (*.f64 (PI.f64) 8))) |
(*.f64 2 (*.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 2 (*.f64 (PI.f64) 8)))) |
(*.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (/.f64 1/4 (PI.f64)) 2)) |
(*.f64 2 (*.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1/4 (PI.f64)))) |
(*.f64 (/.f64 -8/3 (PI.f64)) (/.f64 1 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 1 (PI.f64)) (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 1/2 (/.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64))) |
(*.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 1/2 (/.f64 1 (PI.f64)))) |
(*.f64 1/2 (*.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (PI.f64)))) |
(*.f64 1/2 (/.f64 -8/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 -1 (PI.f64))) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 4/3 (PI.f64)) (/.f64 -1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 -4/3 (PI.f64))) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 1/2 (PI.f64)) (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (*.f64 (/.f64 1 (PI.f64)) 1/2) (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 1/2 (/.f64 1 (PI.f64)))) |
(*.f64 1/2 (*.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (PI.f64)))) |
(*.f64 1/2 (/.f64 -8/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (/.f64 1 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 -8/3 (PI.f64))) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) -1) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) -1) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 2 (PI.f64))) 2) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2) 2) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 2 (*.f64 (PI.f64) 8)) (*.f64 2 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 2 (*.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 2 (*.f64 (PI.f64) 8)))) |
(*.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (/.f64 1/4 (PI.f64)) 2)) |
(*.f64 2 (*.f64 (/.f64 -8/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1/4 (PI.f64)))) |
(*.f64 (/.f64 -1 (PI.f64)) (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 -1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 4/3 (PI.f64))) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(pow.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(neg.f64 (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64))) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(neg.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 -4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
Compiled 25651 to 21633 computations (15.7% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1006 | 2 | 1008 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 7 | 8 |
| Total | 1007 | 10 | 1017 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (/.f64 4 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| ✓ | 0.7b | (/.f64 (/.f64 4 (*.f64 3 (PI.f64))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| ✓ | 0.0b | (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) |
| ✓ | 0.7b | (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) |
| ✓ | 0.7b | (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)) |
| ▶ | 0.7b | (/.f64 4 (/.f64 (PI.f64) (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
| ✓ | 0.7b | (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
| ▶ | 1.6b | (/.f64 -4 (*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))))) |
| ✓ | 1.6b | (+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)))) |
| ✓ | 1.7b | (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
Compiled 143 to 123 computations (14% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) |
| ✓ | 0.0b | (*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64)))) |
| 0.1b | (*.f64 v (*.f64 v 6)) | |
| ✓ | 1.0b | (/.f64 -4 (*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))))) |
Compiled 71 to 50 computations (29.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | v | @ | 0 | (*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64)))) |
| 0.0ms | v | @ | inf | (*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64)))) |
| 0.0ms | v | @ | 0 | (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) |
| 0.0ms | v | @ | inf | (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) |
| 0.0ms | v | @ | inf | (/.f64 -4 (*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))))) |
| 1× | batch-egg-rewrite |
| 1834× | rational.json-1 |
| 1834× | rational.json-2 |
| 1834× | rational.json-4 |
| 1834× | rational.json-3 |
| 1458× | rational.json-simplify-35 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 117 |
| 1 | 127 | 117 |
| 2 | 289 | 109 |
| 3 | 784 | 109 |
| 4 | 2543 | 109 |
| 5 | 6423 | 109 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -4 (*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))))) |
(*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 -4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -4 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -6))) (/.f64 -4 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (*.f64 (PI.f64) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 -1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (PI.f64)) (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 4 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (PI.f64) -3)) (/.f64 -4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -2)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) 12) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -2)) 12) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -2)) 12)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -3)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64)) -1/2) (*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -4))) (*.f64 2 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64))))))) |
| 1× | egg-herbie |
| 1676× | rational.json-simplify-35 |
| 1362× | rational.json-simplify-2 |
| 1080× | rational.json-simplify-46 |
| 1046× | rational.json-simplify-51 |
| 848× | rational.json-simplify-61 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 269 | 5341 |
| 1 | 666 | 4897 |
| 2 | 1414 | 4735 |
| 3 | 3232 | 4665 |
| 4 | 7282 | 4665 |
| 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 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64)))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.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 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.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 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 (*.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)))))) |
(*.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 -3 (*.f64 (sqrt.f64 2) (PI.f64))) |
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (PI.f64))) (*.f64 9 (/.f64 (*.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2)))) |
(+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (*.f64 9 (/.f64 (*.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (*.f64 27/2 (/.f64 (*.f64 (pow.f64 v 4) (PI.f64)) (pow.f64 (sqrt.f64 2) 3))))) |
(+.f64 (*.f64 81/2 (/.f64 (*.f64 (pow.f64 v 6) (PI.f64)) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (*.f64 -3 (*.f64 (sqrt.f64 2) (PI.f64))) (+.f64 (*.f64 9 (/.f64 (*.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (*.f64 27/2 (/.f64 (*.f64 (pow.f64 v 4) (PI.f64)) (pow.f64 (sqrt.f64 2) 3)))))) |
(*.f64 -3 (*.f64 v (*.f64 (sqrt.f64 -6) (PI.f64)))) |
(+.f64 (*.f64 -3 (*.f64 v (*.f64 (sqrt.f64 -6) (PI.f64)))) (*.f64 -3 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v)))) |
(+.f64 (*.f64 -3 (*.f64 v (*.f64 (sqrt.f64 -6) (PI.f64)))) (+.f64 (*.f64 3/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (*.f64 -3 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v))))) |
(+.f64 (*.f64 -3 (*.f64 v (*.f64 (sqrt.f64 -6) (PI.f64)))) (+.f64 (*.f64 3/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (+.f64 (*.f64 -3 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v))) (*.f64 -3/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))))))) |
(*.f64 3 (*.f64 v (*.f64 (sqrt.f64 -6) (PI.f64)))) |
(+.f64 (*.f64 3 (*.f64 v (*.f64 (sqrt.f64 -6) (PI.f64)))) (*.f64 3 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v)))) |
(+.f64 (*.f64 -3/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (+.f64 (*.f64 3 (*.f64 v (*.f64 (sqrt.f64 -6) (PI.f64)))) (*.f64 3 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v))))) |
(+.f64 (*.f64 -3/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (+.f64 (*.f64 3 (*.f64 v (*.f64 (sqrt.f64 -6) (PI.f64)))) (+.f64 (*.f64 3 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v))) (*.f64 3/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))))))) |
(*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))) |
(+.f64 (*.f64 3 (/.f64 (*.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64)))) |
(+.f64 (*.f64 3 (/.f64 (*.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (+.f64 (*.f64 9/2 (/.f64 (*.f64 (pow.f64 v 4) (PI.f64)) (pow.f64 (sqrt.f64 2) 3))) (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))))) |
(+.f64 (*.f64 27/2 (/.f64 (*.f64 (pow.f64 v 6) (PI.f64)) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (*.f64 3 (/.f64 (*.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (+.f64 (*.f64 9/2 (/.f64 (*.f64 (pow.f64 v 4) (PI.f64)) (pow.f64 (sqrt.f64 2) 3))) (*.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64)))))) |
(*.f64 -1 (*.f64 v (*.f64 (sqrt.f64 -6) (PI.f64)))) |
(+.f64 (*.f64 -1 (*.f64 v (*.f64 (sqrt.f64 -6) (PI.f64)))) (*.f64 -1 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v)))) |
(+.f64 (*.f64 -1 (*.f64 v (*.f64 (sqrt.f64 -6) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))))) |
(+.f64 (*.f64 -1 (*.f64 v (*.f64 (sqrt.f64 -6) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3))))))) |
(*.f64 (sqrt.f64 -6) (*.f64 v (PI.f64))) |
(+.f64 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v)) (*.f64 (sqrt.f64 -6) (*.f64 v (PI.f64)))) |
(+.f64 (*.f64 (sqrt.f64 -6) (*.f64 v (PI.f64))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6))))) |
(+.f64 (*.f64 (sqrt.f64 -6) (*.f64 v (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5)))) (+.f64 (*.f64 -1/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (/.f64 (PI.f64) (*.f64 v (sqrt.f64 -6)))))) |
(+.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0) |
(+.f64 0 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(+.f64 -1 (-.f64 1 (/.f64 -4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64))))) |
(+.f64 (/.f64 -4 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -6))) (/.f64 -4 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -6)))) |
(-.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0) |
(-.f64 0 (/.f64 -4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64)))) |
(*.f64 2 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2)) |
(*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1) |
(*.f64 1 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (*.f64 2 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 1/2) |
(*.f64 (/.f64 -4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (*.f64 (PI.f64) -3))) |
(*.f64 (/.f64 4 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64))) 1/3) |
(*.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 -1 (PI.f64))) |
(*.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64))) -1) |
(*.f64 1/2 (*.f64 2 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (/.f64 -1 (PI.f64)) (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 1/3 (/.f64 4 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64)))) |
(*.f64 (/.f64 1 (*.f64 (PI.f64) -3)) (/.f64 -4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 4/3 (PI.f64))) |
(*.f64 (/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2) 2) |
(pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1) |
(neg.f64 (/.f64 -4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64)))) |
(+.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -2))) |
(+.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -3)) 0) |
(+.f64 0 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -3))) |
(+.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -2)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64)))) |
(-.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -3)) 0) |
(-.f64 0 (neg.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -3)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -3)) 1) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -6)) 2) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) 12) 4) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -2)) 12) 8) |
(/.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -2)) 12)) 16) |
(pow.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -3)) 1) |
(neg.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -3)))) |
(+.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) 0) |
(+.f64 0 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64)))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64)) -1/2) (*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64)) -1/2)) |
(-.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) 0) |
(-.f64 0 (neg.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) 1) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -2)) 2) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -4)) 4) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -4))) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -4))) (*.f64 2 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -4)))) 16) |
(pow.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) 1) |
(neg.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))))) |
(neg.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (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 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64)))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (PI.f64))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.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 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 2/3 (*.f64 (pow.f64 v 4) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))))) |
(+.f64 (*.f64 2/3 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.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 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 2/3 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (/.f64 (pow.f64 v 4) (PI.f64)) (sqrt.f64 1/2)))))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (PI.f64)) (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 2/3 (/.f64 (/.f64 (pow.f64 v 4) (sqrt.f64 1/2)) (PI.f64)))))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.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 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 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 v 4) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))))) (*.f64 2/3 (*.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2))) (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) |
(+.f64 (*.f64 2/3 (+.f64 (*.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2))) (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 1/2) (PI.f64)))))) (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.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 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 2/3 (+.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (/.f64 (pow.f64 v 4) (PI.f64)) (sqrt.f64 1/2))) (*.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2))) (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))) |
(+.f64 (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (PI.f64))) (*.f64 2/3 (+.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (/.f64 (pow.f64 v 4) (sqrt.f64 1/2)) (PI.f64))) (*.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2))) (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 1/2) (PI.f64))))))) |
(+.f64 (+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (PI.f64))) (*.f64 2/3 (+.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (/.f64 (pow.f64 v 4) (sqrt.f64 1/2)) (PI.f64))) (*.f64 (-.f64 27/2 (*.f64 3/4 (*.f64 2 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2))))) (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 1/2) (PI.f64))))))) |
(*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))) |
(*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) |
(*.f64 4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) 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 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) (*.f64 1/27 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))) |
(-.f64 (*.f64 4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) v) (PI.f64))) (*.f64 1/27 (/.f64 (/.f64 1 (pow.f64 v 3)) (*.f64 (PI.f64) (sqrt.f64 -1/6))))) |
(-.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) (*.f64 1/27 (/.f64 (/.f64 1 (sqrt.f64 -1/6)) (*.f64 (PI.f64) (pow.f64 v 3))))) |
(-.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 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 5))))) (-.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) (*.f64 1/27 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6))))))) |
(+.f64 (-.f64 (*.f64 4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) v) (PI.f64))) (*.f64 1/27 (/.f64 (/.f64 1 (pow.f64 v 3)) (*.f64 (PI.f64) (sqrt.f64 -1/6))))) (*.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/6)))))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) (-.f64 (*.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 (/.f64 1 (sqrt.f64 -1/6)) (*.f64 (PI.f64) (pow.f64 v 3)))))) |
(+.f64 (*.f64 4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) v) (PI.f64))) (-.f64 (*.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 (/.f64 1 (pow.f64 v 3)) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))) |
(-.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 (+.f64 (*.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 5))))) (*.f64 -2/3 (/.f64 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) 1/6))) (*.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 7)))))) (-.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) (*.f64 1/27 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 (PI.f64) (sqrt.f64 -1/6))))))) |
(+.f64 (*.f64 4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) v) (PI.f64))) (-.f64 (*.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)) 1/6))) (*.f64 (PI.f64) (*.f64 (pow.f64 v 7) (sqrt.f64 -1/6)))) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/6)))))) (*.f64 1/27 (/.f64 (/.f64 1 (pow.f64 v 3)) (*.f64 (PI.f64) (sqrt.f64 -1/6)))))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v))) (-.f64 (*.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 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) 1/6))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 7)))))) (*.f64 1/27 (/.f64 (/.f64 1 (sqrt.f64 -1/6)) (*.f64 (PI.f64) (pow.f64 v 3)))))) |
(+.f64 (-.f64 (*.f64 4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) v) (PI.f64))) (*.f64 1/27 (/.f64 (/.f64 1 (pow.f64 v 3)) (*.f64 (PI.f64) (sqrt.f64 -1/6))))) (*.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 (+.f64 1/162 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) 1/6))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 7))))))) |
(*.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))) |
(*.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) -4/3) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 -1/6) v) (PI.f64)) -4/3) |
(+.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 (PI.f64) (sqrt.f64 -1/6))))) (*.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) -4/3)) |
(+.f64 (*.f64 1/27 (/.f64 (/.f64 1 (pow.f64 v 3)) (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (*.f64 (/.f64 (/.f64 (sqrt.f64 -1/6) v) (PI.f64)) -4/3)) |
(+.f64 (*.f64 1/27 (/.f64 (/.f64 1 (sqrt.f64 -1/6)) (*.f64 (PI.f64) (pow.f64 v 3)))) (*.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) -4/3)) |
(+.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 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (*.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) v)) -4/3) (*.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 5))))))) |
(+.f64 (*.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/6))))) (+.f64 (*.f64 1/27 (/.f64 (/.f64 1 (pow.f64 v 3)) (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (*.f64 (/.f64 (/.f64 (sqrt.f64 -1/6) v) (PI.f64)) -4/3))) |
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(/.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -6)) 2) |
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(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (+.f64 (*.f64 (PI.f64) -2) (neg.f64 (PI.f64)))) |
(*.f64 -3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) 12) 4) |
(+.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -2))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (+.f64 (*.f64 (PI.f64) -2) (neg.f64 (PI.f64)))) |
(*.f64 -3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -2)) 12) 8) |
(+.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -2))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (+.f64 (*.f64 (PI.f64) -2) (neg.f64 (PI.f64)))) |
(*.f64 -3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -2)) 12)) 16) |
(+.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -2))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (+.f64 (*.f64 (PI.f64) -2) (neg.f64 (PI.f64)))) |
(*.f64 -3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(pow.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -3)) 1) |
(+.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -2))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (+.f64 (*.f64 (PI.f64) -2) (neg.f64 (PI.f64)))) |
(*.f64 -3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(neg.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -3)))) |
(+.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -2))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (+.f64 (*.f64 (PI.f64) -2) (neg.f64 (PI.f64)))) |
(*.f64 -3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(+.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) 0) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) |
(+.f64 0 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64)) -1/2) (*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64)) -1/2)) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) |
(-.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) 0) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) |
(-.f64 0 (neg.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) 1) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -2)) 2) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -4)) 4) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -4))) 8) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -4))) (*.f64 2 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) -4)))) 16) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) |
(pow.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) 1) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) |
(neg.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) |
(neg.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (PI.f64) (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
| 0.1b | (*.f64 v (*.f64 v 6)) | |
| ✓ | 1.0b | (/.f64 4 (/.f64 (PI.f64) (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
| ✓ | 1.0b | (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
Compiled 66 to 50 computations (24.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | v | @ | 0 | (/.f64 (PI.f64) (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
| 0.0ms | v | @ | inf | (/.f64 (PI.f64) (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
| 0.0ms | v | @ | inf | (/.f64 4 (/.f64 (PI.f64) (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
| 0.0ms | v | @ | 0 | (/.f64 4 (/.f64 (PI.f64) (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
| 0.0ms | v | @ | -inf | (/.f64 (PI.f64) (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
| 1× | batch-egg-rewrite |
| 1322× | exponential.json-3 |
| 1322× | rational.json-1 |
| 1322× | rational.json-2 |
| 1322× | rational.json-4 |
| 1322× | rational.json-3 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 109 |
| 1 | 121 | 109 |
| 2 | 313 | 109 |
| 3 | 1020 | 103 |
| 4 | 3913 | 103 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 4 (/.f64 (PI.f64) (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(/.f64 (PI.f64) (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) (+.f64 (/.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) (*.f64 2 (/.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (/.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64))) (*.f64 2 (/.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 2 (/.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (*.f64 (/.f64 4 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (PI.f64)) (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2/3 (PI.f64)) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 4) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (PI.f64)) (/.f64 1 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (PI.f64)) (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 1 (/.f64 (PI.f64) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/4)) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (*.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (/.f64 1/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (PI.f64)) (*.f64 2 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4 (PI.f64)) 1/2) (*.f64 2 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 8/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/2)) (/.f64 2/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (PI.f64) -4)) (neg.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 4 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) -1/3)) (PI.f64))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) 3/4)) (+.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) 3/4)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 2/3)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (PI.f64) (/.f64 2/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 2/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (/.f64 2 (/.f64 2/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 6 (PI.f64))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (PI.f64)) (/.f64 1/2 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (PI.f64)) (/.f64 1 (/.f64 2/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 (PI.f64) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4) (/.f64 1 (/.f64 4/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) 1/2) (*.f64 6 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (/.f64 (PI.f64) 1/3) 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (PI.f64)) (/.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (/.f64 (PI.f64) 1/3) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (/.f64 -1/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (PI.f64)) (/.f64 -1 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (PI.f64)) (/.f64 1 (/.f64 -1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 3) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 3) (/.f64 1 (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) 1/3) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) 1/3) (/.f64 1 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (PI.f64) (neg.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (PI.f64) (/.f64 -1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 6 (PI.f64)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 6 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/2) (*.f64 6 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 6 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (/.f64 (PI.f64) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (*.f64 2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) 2/3) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 3) 1/2) (*.f64 2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (neg.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (/.f64 -1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 1 (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (PI.f64))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (PI.f64) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 4/3 (PI.f64))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 2/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (/.f64 2/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (*.f64 2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 2/3 (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 4)) (*.f64 4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 -1/3 (PI.f64))) (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 -1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (PI.f64) (neg.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (PI.f64) (/.f64 -1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))))) |
| 1× | egg-herbie |
| 936× | rational.json-simplify-51 |
| 922× | rational.json-simplify-35 |
| 840× | rational.json-simplify-61 |
| 788× | rational.json-simplify-43 |
| 774× | rational.json-simplify-44 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 384 | 7605 |
| 1 | 867 | 7359 |
| 2 | 1773 | 7267 |
| 3 | 5384 | 7215 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (sqrt.f64 1/2)) |
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))) (*.f64 1/3 (sqrt.f64 1/2))) |
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))) (+.f64 (*.f64 1/3 (sqrt.f64 1/2)) (*.f64 1/6 (/.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (sqrt.f64 1/2))))) |
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))) (+.f64 (*.f64 1/3 (sqrt.f64 1/2)) (+.f64 (*.f64 1/6 (/.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))))) (sqrt.f64 1/2))) (*.f64 1/6 (/.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (sqrt.f64 1/2)))))) |
(*.f64 1/3 (/.f64 (sqrt.f64 -1/6) v)) |
(-.f64 (*.f64 1/3 (/.f64 (sqrt.f64 -1/6) v)) (*.f64 1/108 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6))))) |
(-.f64 (+.f64 (*.f64 -1/6 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/6)))) (*.f64 1/3 (/.f64 (sqrt.f64 -1/6) v))) (*.f64 1/108 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6))))) |
(-.f64 (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (*.f64 (pow.f64 v 7) (sqrt.f64 -1/6)))) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/6)))) (*.f64 1/3 (/.f64 (sqrt.f64 -1/6) v)))) (*.f64 1/108 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6))))) |
(*.f64 -1/3 (/.f64 (sqrt.f64 -1/6) v)) |
(+.f64 (*.f64 1/108 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6)))) (*.f64 -1/3 (/.f64 (sqrt.f64 -1/6) v))) |
(+.f64 (*.f64 1/108 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 -1/6) v)) (*.f64 1/6 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/6)))))) |
(+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (*.f64 (pow.f64 v 7) (sqrt.f64 -1/6)))) (+.f64 (*.f64 1/108 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6)))) (+.f64 (*.f64 -1/3 (/.f64 (sqrt.f64 -1/6) v)) (*.f64 1/6 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/6))))))) |
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(+.f64 (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.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 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.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 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (*.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 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 (*.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)))))) |
(*.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 3 (*.f64 (sqrt.f64 2) (PI.f64))) |
(+.f64 (*.f64 -9 (/.f64 (*.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64)))) |
(+.f64 (*.f64 -9 (/.f64 (*.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (+.f64 (*.f64 -27/2 (/.f64 (*.f64 (pow.f64 v 4) (PI.f64)) (pow.f64 (sqrt.f64 2) 3))) (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))))) |
(+.f64 (*.f64 -9 (/.f64 (*.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 2))) (+.f64 (*.f64 -27/2 (/.f64 (*.f64 (pow.f64 v 4) (PI.f64)) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (*.f64 3 (*.f64 (sqrt.f64 2) (PI.f64))) (*.f64 -81/2 (/.f64 (*.f64 (pow.f64 v 6) (PI.f64)) (pow.f64 (sqrt.f64 2) 5)))))) |
(*.f64 3 (*.f64 v (*.f64 (sqrt.f64 -6) (PI.f64)))) |
(+.f64 (*.f64 3 (*.f64 v (*.f64 (sqrt.f64 -6) (PI.f64)))) (*.f64 3 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v)))) |
(+.f64 (*.f64 -3/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (+.f64 (*.f64 3 (*.f64 v (*.f64 (sqrt.f64 -6) (PI.f64)))) (*.f64 3 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v))))) |
(+.f64 (*.f64 -3/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (+.f64 (*.f64 3 (*.f64 v (*.f64 (sqrt.f64 -6) (PI.f64)))) (+.f64 (*.f64 3 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v))) (*.f64 3/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))))))) |
(*.f64 -3 (*.f64 v (*.f64 (sqrt.f64 -6) (PI.f64)))) |
(+.f64 (*.f64 -3 (*.f64 v (*.f64 (sqrt.f64 -6) (PI.f64)))) (*.f64 -3 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v)))) |
(+.f64 (*.f64 -3 (*.f64 v (*.f64 (sqrt.f64 -6) (PI.f64)))) (+.f64 (*.f64 3/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (*.f64 -3 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v))))) |
(+.f64 (*.f64 -3 (*.f64 v (*.f64 (sqrt.f64 -6) (PI.f64)))) (+.f64 (*.f64 3/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 3) (pow.f64 v 3)))) (+.f64 (*.f64 -3 (/.f64 (PI.f64) (*.f64 (sqrt.f64 -6) v))) (*.f64 -3/2 (/.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -6) 5) (pow.f64 v 5))))))) |
(+.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0) |
(+.f64 0 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(-.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 0) |
(-.f64 0 (neg.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 2 (/.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2)) |
(*.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1) |
(*.f64 1 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (*.f64 2 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 1/2) |
(*.f64 (*.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 4) 1/4) |
(*.f64 1/4 (*.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 4)) |
(*.f64 (neg.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) -1) |
(*.f64 -1 (neg.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 1/2 (*.f64 2 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (/.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 2) 2) |
(pow.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 1) |
(neg.f64 (neg.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(+.f64 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64))) 0) |
(+.f64 0 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64)))) |
(+.f64 (/.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) (+.f64 (/.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) (*.f64 2 (/.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64))))) |
(+.f64 (*.f64 2 (/.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64))) (*.f64 2 (/.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)))) |
(-.f64 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64))) 0) |
(*.f64 2 (*.f64 2 (/.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)))) |
(*.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 4 (PI.f64))) |
(*.f64 4 (/.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64))) |
(*.f64 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64))) 1) |
(*.f64 1 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64)))) |
(*.f64 (*.f64 2 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 2 (PI.f64))) |
(*.f64 (*.f64 2 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (*.f64 (/.f64 4 (PI.f64)) 1/2)) |
(*.f64 (/.f64 1/3 (PI.f64)) (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (*.f64 2 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64)))) 1/2) |
(*.f64 (/.f64 2/3 (PI.f64)) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/2))) |
(*.f64 (*.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 4) (/.f64 1 (PI.f64))) |
(*.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 8/3 (PI.f64)) (/.f64 1 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (neg.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 1 (/.f64 (PI.f64) -4))) |
(*.f64 (/.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) 4) |
(*.f64 (*.f64 2 (/.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64))) 2) |
(*.f64 (/.f64 1/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/4)) (/.f64 1 (PI.f64))) |
(*.f64 (/.f64 4 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1/3 (PI.f64))) |
(*.f64 (/.f64 1 (PI.f64)) (*.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 4)) |
(*.f64 (/.f64 1 (PI.f64)) (/.f64 1/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/4))) |
(*.f64 1/2 (*.f64 2 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64))))) |
(*.f64 (/.f64 2 (PI.f64)) (*.f64 2 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 4/3 (PI.f64))) |
(*.f64 (*.f64 (/.f64 4 (PI.f64)) 1/2) (*.f64 2 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (/.f64 1 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 8/3 (PI.f64))) |
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/2)) (/.f64 2/3 (PI.f64))) |
(*.f64 (/.f64 1 (/.f64 (PI.f64) -4)) (neg.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(pow.f64 (/.f64 4/3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (PI.f64))) 1) |
(neg.f64 (/.f64 (/.f64 4 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) -1/3)) (PI.f64))) |
(+.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) 0) |
(+.f64 0 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3))) |
(+.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) 3/4)) (+.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (PI.f64) 3/4)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 2/3)))) |
(+.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 2/3)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 2/3))) |
(-.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) 0) |
(-.f64 0 (neg.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)))) |
(*.f64 2 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 2/3))) |
(*.f64 2 (/.f64 (PI.f64) (/.f64 2/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 2 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 2/3 (PI.f64)))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 3)) |
(*.f64 (PI.f64) (/.f64 2 (/.f64 2/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) 1) |
(*.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 6 (PI.f64))) 1/2) |
(*.f64 (*.f64 2 (PI.f64)) (/.f64 1/2 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (*.f64 2 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 3) 1/2)) |
(*.f64 (*.f64 2 (PI.f64)) (/.f64 1 (/.f64 2/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 (PI.f64) 2/3)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4) (/.f64 1 (/.f64 4/3 (PI.f64)))) |
(*.f64 (*.f64 (PI.f64) 1/2) (*.f64 6 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (/.f64 (PI.f64) 1/3) 4)) 1/4) |
(*.f64 (*.f64 4 (PI.f64)) (/.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 4))) |
(*.f64 1/4 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (/.f64 (PI.f64) 1/3) 4))) |
(*.f64 (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (/.f64 -1/3 (PI.f64)))) |
(*.f64 (neg.f64 (PI.f64)) (/.f64 -1 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (neg.f64 (PI.f64)) (/.f64 1 (/.f64 -1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 3) (PI.f64)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 3) (/.f64 1 (/.f64 1 (PI.f64)))) |
(*.f64 (/.f64 (PI.f64) 1/3) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 (/.f64 (PI.f64) 1/3) (/.f64 1 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 -1 (/.f64 (PI.f64) (neg.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))) |
(*.f64 -1 (/.f64 (PI.f64) (/.f64 -1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (*.f64 6 (PI.f64)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/2)) |
(*.f64 (*.f64 6 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (PI.f64) 1/2)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 2/3)) 2) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/2) (*.f64 6 (PI.f64))) |
(*.f64 1/2 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 6 (PI.f64)))) |
(*.f64 3 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 1 (PI.f64)))) |
(*.f64 3 (/.f64 (PI.f64) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (/.f64 1/2 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (*.f64 2 (PI.f64))) |
(*.f64 (/.f64 (PI.f64) 2/3) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 3) 1/2) (*.f64 2 (PI.f64))) |
(*.f64 (/.f64 (PI.f64) (neg.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) -1) |
(*.f64 (/.f64 (PI.f64) (/.f64 -1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) -1) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 1 (PI.f64))) 3) |
(*.f64 (/.f64 1 (/.f64 1 (PI.f64))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 3)) |
(*.f64 (/.f64 (PI.f64) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 3) |
(*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (PI.f64) 1/3)) |
(*.f64 (/.f64 1 (/.f64 4/3 (PI.f64))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4)) |
(*.f64 (/.f64 2 (/.f64 2/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (PI.f64)) |
(*.f64 (/.f64 (PI.f64) (/.f64 2/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 2) |
(*.f64 (/.f64 1 (/.f64 2/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (*.f64 2 (PI.f64))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 2/3 (PI.f64))) 2) |
(*.f64 (/.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 4)) (*.f64 4 (PI.f64))) |
(*.f64 (/.f64 1 (/.f64 -1/3 (PI.f64))) (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 -1 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (neg.f64 (PI.f64))) |
(*.f64 (/.f64 1 (/.f64 -1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (neg.f64 (PI.f64))) |
(pow.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) 1) |
(neg.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)))) |
(neg.f64 (/.f64 (PI.f64) (neg.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))) |
(neg.f64 (/.f64 (PI.f64) (/.f64 -1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
| Outputs |
|---|
(*.f64 1/3 (sqrt.f64 1/2)) |
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))) (*.f64 1/3 (sqrt.f64 1/2))) |
(+.f64 (*.f64 1/3 (sqrt.f64 1/2)) (*.f64 1/4 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)))) |
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))) (+.f64 (*.f64 1/3 (sqrt.f64 1/2)) (*.f64 1/6 (/.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (sqrt.f64 1/2))))) |
(+.f64 (*.f64 1/3 (sqrt.f64 1/2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 v 4) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)))) (*.f64 1/4 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))))) |
(+.f64 (*.f64 1/3 (sqrt.f64 1/2)) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))) (*.f64 1/6 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (sqrt.f64 1/2)))))) |
(+.f64 (+.f64 (*.f64 1/3 (sqrt.f64 1/2)) (*.f64 1/4 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)))) (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (/.f64 (pow.f64 v 4) (sqrt.f64 1/2)) 1/6))) |
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))) (+.f64 (*.f64 1/3 (sqrt.f64 1/2)) (+.f64 (*.f64 1/6 (/.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))))) (sqrt.f64 1/2))) (*.f64 1/6 (/.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (sqrt.f64 1/2)))))) |
(+.f64 (*.f64 1/3 (sqrt.f64 1/2)) (+.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 v 4) (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)))) (*.f64 1/6 (*.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2))) (/.f64 (pow.f64 v 6) (sqrt.f64 1/2))))) (*.f64 1/4 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))))) |
(+.f64 (*.f64 1/3 (sqrt.f64 1/2)) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))) (*.f64 1/6 (+.f64 (*.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2))) (/.f64 (pow.f64 v 6) (sqrt.f64 1/2))) (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (sqrt.f64 1/2))))))) |
(+.f64 (*.f64 1/3 (sqrt.f64 1/2)) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))) (*.f64 1/6 (+.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (sqrt.f64 1/2))) (*.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2))) (/.f64 (pow.f64 v 6) (sqrt.f64 1/2))))))) |
(+.f64 (+.f64 (*.f64 1/3 (sqrt.f64 1/2)) (*.f64 1/4 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2)))) (*.f64 1/6 (+.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (pow.f64 v 4) (sqrt.f64 1/2))) (*.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2))) (/.f64 (pow.f64 v 6) (sqrt.f64 1/2)))))) |
(*.f64 1/3 (/.f64 (sqrt.f64 -1/6) v)) |
(-.f64 (*.f64 1/3 (/.f64 (sqrt.f64 -1/6) v)) (*.f64 1/108 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6))))) |
(-.f64 (*.f64 1/3 (/.f64 (sqrt.f64 -1/6) v)) (*.f64 1/108 (/.f64 1 (*.f64 (sqrt.f64 -1/6) (pow.f64 v 3))))) |
(-.f64 (*.f64 1/3 (/.f64 (sqrt.f64 -1/6) v)) (*.f64 1/108 (/.f64 (/.f64 1 (pow.f64 v 3)) (sqrt.f64 -1/6)))) |
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(*.f64 (PI.f64) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/3)) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 3)) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 3 (PI.f64))) |
(*.f64 3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (PI.f64) (/.f64 2 (/.f64 2/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) |
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/3)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) 1) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) |
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/3)) |
(*.f64 1 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) |
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/3)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 6 (PI.f64))) 1/2) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 3 (PI.f64))) |
(*.f64 3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (*.f64 2 (PI.f64)) (/.f64 1/2 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) |
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/3)) |
(*.f64 (*.f64 2 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 3) 1/2)) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 3 (PI.f64))) |
(*.f64 3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (*.f64 2 (PI.f64)) (/.f64 1 (/.f64 2/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) |
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/3)) |
(*.f64 (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 (PI.f64) 2/3)) |
(+.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 2/3)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 2/3))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (+.f64 (/.f64 (PI.f64) 2/3) (/.f64 (PI.f64) 2/3))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 2 (/.f64 (PI.f64) 2/3))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4) (/.f64 1 (/.f64 4/3 (PI.f64)))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 4 (/.f64 (PI.f64) 4/3))) |
(*.f64 4 (*.f64 (/.f64 (PI.f64) 4/3) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 4 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 4/3))) |
(*.f64 (*.f64 (PI.f64) 1/2) (*.f64 6 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 3 (PI.f64))) |
(*.f64 3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (/.f64 (PI.f64) 1/3) 4)) 1/4) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) |
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/3)) |
(*.f64 (*.f64 4 (PI.f64)) (/.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 4))) |
(*.f64 4 (*.f64 (PI.f64) (/.f64 1 (*.f64 4 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) |
(*.f64 4 (*.f64 (PI.f64) (/.f64 1 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))) |
(*.f64 (*.f64 4 (PI.f64)) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4/3)) |
(*.f64 4 (*.f64 (PI.f64) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4/3))) |
(*.f64 1/4 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 (/.f64 (PI.f64) 1/3) 4))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) |
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/3)) |
(*.f64 (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (/.f64 1 (/.f64 -1/3 (PI.f64)))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) |
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/3)) |
(*.f64 (neg.f64 (PI.f64)) (/.f64 -1 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) |
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/3)) |
(*.f64 (neg.f64 (PI.f64)) (/.f64 1 (/.f64 -1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) |
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/3)) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 3) (PI.f64)) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 3 (PI.f64))) |
(*.f64 3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 3) (/.f64 1 (/.f64 1 (PI.f64)))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 3 (PI.f64))) |
(*.f64 3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 (PI.f64) 1/3) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) |
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/3)) |
(*.f64 (/.f64 (PI.f64) 1/3) (/.f64 1 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) |
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/3)) |
(*.f64 -1 (/.f64 (PI.f64) (neg.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) |
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/3)) |
(*.f64 -1 (/.f64 (PI.f64) (/.f64 -1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) |
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/3)) |
(*.f64 (*.f64 6 (PI.f64)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/2)) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 3 (PI.f64))) |
(*.f64 3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (*.f64 6 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (PI.f64) 1/2)) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 3 (PI.f64))) |
(*.f64 3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 2/3)) 2) |
(+.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 2/3)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 2/3))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (+.f64 (/.f64 (PI.f64) 2/3) (/.f64 (PI.f64) 2/3))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 2 (/.f64 (PI.f64) 2/3))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/2) (*.f64 6 (PI.f64))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 3 (PI.f64))) |
(*.f64 3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 1/2 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 6 (PI.f64)))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 3 (PI.f64))) |
(*.f64 3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 3 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 1 (PI.f64)))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 3 (PI.f64))) |
(*.f64 3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 3 (/.f64 (PI.f64) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 3 (PI.f64))) |
(*.f64 3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 1/2 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (*.f64 2 (PI.f64))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) |
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/3)) |
(*.f64 (/.f64 (PI.f64) 2/3) (*.f64 2 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(+.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 2/3)) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 2/3))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (+.f64 (/.f64 (PI.f64) 2/3) (/.f64 (PI.f64) 2/3))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 2 (/.f64 (PI.f64) 2/3))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 3) 1/2) (*.f64 2 (PI.f64))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 3 (PI.f64))) |
(*.f64 3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 (PI.f64) (neg.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) -1) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) |
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/3)) |
(*.f64 (/.f64 (PI.f64) (/.f64 -1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) -1) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) |
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/3)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 1 (PI.f64))) 3) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 3 (PI.f64))) |
(*.f64 3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 1 (/.f64 1 (PI.f64))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 3)) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 3 (PI.f64))) |
(*.f64 3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 (PI.f64) (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 3) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 3 (PI.f64))) |
(*.f64 3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (/.f64 (PI.f64) 1/3)) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) |
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/3)) |
(*.f64 (/.f64 1 (/.f64 4/3 (PI.f64))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4)) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (*.f64 4 (/.f64 (PI.f64) 4/3))) |
(*.f64 4 (*.f64 (/.f64 (PI.f64) 4/3) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 4 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 4/3))) |
(*.f64 (/.f64 2 (/.f64 2/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (PI.f64)) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) |
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/3)) |
(*.f64 (/.f64 (PI.f64) (/.f64 2/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) 2) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) |
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/3)) |
(*.f64 (/.f64 1 (/.f64 2/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (*.f64 2 (PI.f64))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) |
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/3)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 2/3 (PI.f64))) 2) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) |
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/3)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) 4)) (*.f64 4 (PI.f64))) |
(*.f64 4 (*.f64 (PI.f64) (/.f64 1 (*.f64 4 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))))) |
(*.f64 4 (*.f64 (PI.f64) (/.f64 1 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))) |
(*.f64 (*.f64 4 (PI.f64)) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4/3)) |
(*.f64 4 (*.f64 (PI.f64) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 4/3))) |
(*.f64 (/.f64 1 (/.f64 -1/3 (PI.f64))) (neg.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) |
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/3)) |
(*.f64 (/.f64 -1 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (neg.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) |
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/3)) |
(*.f64 (/.f64 1 (/.f64 -1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) (neg.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) |
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/3)) |
(pow.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) 1) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) |
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/3)) |
(neg.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) |
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/3)) |
(neg.f64 (/.f64 (PI.f64) (neg.f64 (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) |
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/3)) |
(neg.f64 (/.f64 (PI.f64) (/.f64 -1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (/.f64 (PI.f64) 1/3)) |
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) 1/3)) |
Compiled 12742 to 10571 computations (17% saved)
10 alts after pruning (1 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 499 | 1 | 500 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 8 | 9 |
| Total | 500 | 10 | 510 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (/.f64 4 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| ✓ | 0.7b | (/.f64 (/.f64 4 (*.f64 3 (PI.f64))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| ✓ | 0.0b | (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) |
| ✓ | 0.7b | (/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) |
| ✓ | 0.7b | (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)) |
| ✓ | 0.7b | (/.f64 4 (/.f64 (PI.f64) (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
| 1.6b | (/.f64 4 (*.f64 3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) | |
| ✓ | 0.7b | (/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
| ✓ | 1.6b | (+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)))) |
| ✓ | 1.7b | (*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
Compiled 142 to 122 computations (14.1% saved)
| Inputs |
|---|
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)) |
(/.f64 4 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2)))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) |
(/.f64 4 (*.f64 3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(/.f64 4 (/.f64 (PI.f64) (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(/.f64 (/.f64 4 (*.f64 3 (PI.f64))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 -4 (*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))))) |
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)))) |
(/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) |
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.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 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
| Outputs |
|---|
(/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) |
4 calls:
| 8.0ms | v |
| 5.0ms | (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))) |
| 3.0ms | (*.f64 v v) |
| 2.0ms | (/.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 |
|---|---|---|
| 0.0b | 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 (*.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) |
Compiled 268 to 202 computations (24.6% saved)
| Inputs |
|---|
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)) |
(/.f64 4 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2)))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) |
(/.f64 4 (*.f64 3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(/.f64 4 (/.f64 (PI.f64) (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(/.f64 (/.f64 4 (*.f64 3 (PI.f64))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 -4 (*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))))) |
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)))) |
| Outputs |
|---|
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
1 calls:
| 6.0ms | v |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 1 | v |
Compiled 148 to 118 computations (20.3% saved)
| Inputs |
|---|
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)) |
(/.f64 4 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2)))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) |
(/.f64 4 (*.f64 3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(/.f64 4 (/.f64 (PI.f64) (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(/.f64 (/.f64 4 (*.f64 3 (PI.f64))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 -4 (*.f64 3 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))) (neg.f64 (PI.f64))))) |
| Outputs |
|---|
(/.f64 (/.f64 4 (*.f64 3 (PI.f64))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
1 calls:
| 7.0ms | v |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 1 | v |
Compiled 116 to 92 computations (20.7% saved)
| Inputs |
|---|
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)) |
(/.f64 4 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2)))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) |
(/.f64 4 (*.f64 3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(/.f64 4 (/.f64 (PI.f64) (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
| Outputs |
|---|
(/.f64 4 (/.f64 (PI.f64) (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
1 calls:
| 5.0ms | v |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 1 | v |
Compiled 87 to 69 computations (20.7% saved)
| Inputs |
|---|
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)) |
(/.f64 4 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2)))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (PI.f64)) |
(/.f64 4 (*.f64 3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
| Outputs |
|---|
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
1 calls:
| 4.0ms | v |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 1 | v |
Compiled 73 to 58 computations (20.5% saved)
Total -1.0b remaining (-137.3%)
Threshold costs -1.0b (-137.3%)
| Inputs |
|---|
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)) |
(/.f64 4 (*.f64 (PI.f64) (*.f64 3 (sqrt.f64 2)))) |
| Outputs |
|---|
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)) |
1 calls:
| 3.0ms | v |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 1 | v |
Compiled 23 to 20 computations (13% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 265 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) |
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(/.f64 (/.f64 4 (*.f64 3 (PI.f64))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 4 (/.f64 (PI.f64) (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)) |
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
| Outputs |
|---|
(/.f64 (/.f64 4/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) |
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 (*.f64 3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(/.f64 (/.f64 4 (*.f64 3 (PI.f64))) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))) |
(/.f64 4 (/.f64 (PI.f64) (/.f64 1/3 (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6))))))) |
(/.f64 4/3 (*.f64 (PI.f64) (sqrt.f64 (-.f64 2 (*.f64 v (*.f64 v 6)))))) |
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 2)) |
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) |
Compiled 93 to 81 computations (12.9% saved)
| 1× | egg-herbie |
| 1484× | rational.json-simplify-35 |
| 1414× | rational.json-simplify-49 |
| 1272× | rational.json-simplify-53 |
| 1062× | rational.json-simplify-39 |
| 900× | rational.json-simplify-2 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 330 | 7293 |
| 1 | 846 | 7109 |
| 2 | 2295 | 7007 |
| 3 | 5814 | 7007 |
| 1× | node limit |
Compiled 75 to 53 computations (29.3% saved)
Compiled 87 to 69 computations (20.7% saved)
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