Details

Time bar (total: 4.0s)

sample29.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
8.0ms247×body80nan

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
19110
227510
367210
4130310
5173710
6180210
7180210

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 2.0 (* 6.0 (* v v))))
0.0b
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.2b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
19×pow1
16×associate-*r/
15×prod-exp cbrt-unprod
14×sqrt-div
13×flip3-- flip--
12×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
9×pow-prod-down
8×frac-times associate-/r/
7×associate-*r*
6×sqrt-prod
4×cbrt-undiv expm1-log1p-u div-exp associate-*l* associate-*l/ log1p-expm1-u add-log-exp
3×times-frac associate-/l*
2×*-commutative
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/r* div-inv unswap-sqr
Counts
4 → 107
Calls
4 calls:
4.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
32.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
7.0ms
(* 6.0 (* v v))
32.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series751.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
254.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
27.0ms
(* 6.0 (* v v))
395.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify102.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
09051373
142751219
250011215

prune299.0ms

Filtered
119 candidates to 87 candidates (73.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ 4.0 (fma (* 3.0 (sqrt 2.0)) PI (- (* 9.0 (/ (* (pow v 4) PI) (sqrt 2.0))) (fma 9.0 (/ (* (pow v 2) PI) (sqrt 2.0)) (fma 13.5 (/ (* (pow v 4) PI) (pow (sqrt 2.0) 3)) (* 3.0 (* (sqrt 2.0) (* (pow v 2) PI))))))))
1.0b
(fma (* 3.0 (sqrt 2.0)) PI (- (* 9.0 (/ (* (pow v 4) PI) (sqrt 2.0))) (fma 9.0 (/ (* (pow v 2) PI) (sqrt 2.0)) (fma 13.5 (/ (* (pow v 4) PI) (pow (sqrt 2.0) 3)) (* 3.0 (* (sqrt 2.0) (* (pow v 2) PI)))))))
1.0b
(* 3.0 (sqrt 2.0))
1.0b
(pow (sqrt 2.0) 3)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
10×sqrt-prod
9×add-exp-log times-frac add-cbrt-cube
8×pow1
6×unpow-prod-down cube-prod associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow pow-pow associate-*l* associate-/r* associate-/l*
2×unswap-sqr
1×cbrt-undiv cube-mult pow-to-exp frac-2neg sqrt-pow1 pow1/2 unpow3 div-exp pow-prod-down pow-exp prod-exp clear-num *-commutative sqrt-pow2 cbrt-unprod fma-udef div-inv rem-cube-cbrt sqr-pow
Counts
4 → 97
Calls
4 calls:
2.0ms
(/ 4.0 (fma (* 3.0 (sqrt 2.0)) PI (- (* 9.0 (/ (* (pow v 4) PI) (sqrt 2.0))) (fma 9.0 (/ (* (pow v 2) PI) (sqrt 2.0)) (fma 13.5 (/ (* (pow v 4) PI) (pow (sqrt 2.0) 3)) (* 3.0 (* (sqrt 2.0) (* (pow v 2) PI))))))))
0.0ms
(fma (* 3.0 (sqrt 2.0)) PI (- (* 9.0 (/ (* (pow v 4) PI) (sqrt 2.0))) (fma 9.0 (/ (* (pow v 2) PI) (sqrt 2.0)) (fma 13.5 (/ (* (pow v 4) PI) (pow (sqrt 2.0) 3)) (* 3.0 (* (sqrt 2.0) (* (pow v 2) PI)))))))
4.0ms
(* 3.0 (sqrt 2.0))
2.0ms
(pow (sqrt 2.0) 3)

series1.3s

Counts
4 → 8
Calls
4 calls:
915.0ms
(/ 4.0 (fma (* 3.0 (sqrt 2.0)) PI (- (* 9.0 (/ (* (pow v 4) PI) (sqrt 2.0))) (fma 9.0 (/ (* (pow v 2) PI) (sqrt 2.0)) (fma 13.5 (/ (* (pow v 4) PI) (pow (sqrt 2.0) 3)) (* 3.0 (* (sqrt 2.0) (* (pow v 2) PI))))))))
385.0ms
(fma (* 3.0 (sqrt 2.0)) PI (- (* 9.0 (/ (* (pow v 4) PI) (sqrt 2.0))) (fma 9.0 (/ (* (pow v 2) PI) (sqrt 2.0)) (fma 13.5 (/ (* (pow v 4) PI) (pow (sqrt 2.0) 3)) (* 3.0 (* (sqrt 2.0) (* (pow v 2) PI)))))))
0.0ms
(* 3.0 (sqrt 2.0))
0.0ms
(pow (sqrt 2.0) 3)

simplify88.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
05482043
130671856
250011845

prune402.0ms

Filtered
105 candidates to 68 candidates (64.8%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03426
13426

end0.0ms

sample755.0ms

Algorithm
intervals
Results
303.0ms8000×body80valid
270.0ms7925×body80nan