Details

Time bar (total: 4.7s)

sample45.0ms

Algorithm
intervals
Results
19.0ms256×body80valid
15.0ms230×body80nan

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
19110
226310
362010
4113810
5147010
6151010
7151010

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* 3.0 PI) (- 1.0 (* v v)))
0.0b
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.1b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
23×pow1
18×associate-*r/ prod-exp cbrt-unprod
13×flip3-- flip--
12×add-sqr-sqrt sqrt-div pow-prod-down
11×associate-*r*
10×add-cube-cbrt *-un-lft-identity
8×frac-times associate-/r/
5×associate-*l*
4×cbrt-undiv div-exp associate-*l/ add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 109
Calls
4 calls:
13.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
30.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms
(* 6.0 (* v v))
28.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series822.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
276.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
24.0ms
(* 6.0 (* v v))
419.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify106.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
08881350
144081176
250021174

prune266.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* 3.0 PI) (- 1.0 (* v v)))
0.0b
(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.0b
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
0.1b
(* 6.0 (* v v))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
44×add-sqr-sqrt
42×add-cube-cbrt *-un-lft-identity
37×add-exp-log add-cbrt-cube
30×sqrt-prod
18×associate-*r/ associate-/r/
14×pow1
12×prod-exp cbrt-unprod associate-/l*
10×cbrt-undiv flip3-- div-exp flip--
9×div-inv
7×associate-/r*
6×pow-prod-down
5×associate-*r*
4×associate-*l* add-log-exp
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in sqrt-div clear-num *-commutative
1×associate-/l/ difference-of-squares unswap-sqr
Counts
4 → 159
Calls
4 calls:
10.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
16.0ms
(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
8.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
6.0ms
(* 6.0 (* v v))

series826.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
598.0ms
(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
98.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
28.0ms
(* 6.0 (* v v))

simplify116.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
09372186
144572002
250011982

prune354.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 4.0 (* (* (* 3.0 PI) (sqrt (- 1.0 (* v v)))) (sqrt (- 1.0 (* v v)))))
0.0b
(sqrt (- 1.0 (* v v)))
0.0b
(sqrt (- 1.0 (* v v)))
0.1b
(* 6.0 (* v v))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
16×sqrt-div
14×add-sqr-sqrt
11×pow1
9×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
8×flip3-- associate-*r/ sqrt-prod associate-/r/ flip--
4×cbrt-undiv frac-times div-exp add-log-exp
3×times-frac associate-*l* pow-prod-down associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ difference-of-squares
1×frac-2neg associate-*r* clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
4 → 84
Calls
4 calls:
31.0ms
(/ 4.0 (* (* (* 3.0 PI) (sqrt (- 1.0 (* v v)))) (sqrt (- 1.0 (* v v)))))
2.0ms
(sqrt (- 1.0 (* v v)))
2.0ms
(sqrt (- 1.0 (* v v)))
6.0ms
(* 6.0 (* v v))

series244.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(/ 4.0 (* (* (* 3.0 PI) (sqrt (- 1.0 (* v v)))) (sqrt (- 1.0 (* v v)))))
61.0ms
(sqrt (- 1.0 (* v v)))
56.0ms
(sqrt (- 1.0 (* v v)))
28.0ms
(* 6.0 (* v v))

simplify58.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0557798
12295665
25001645

prune280.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01910
11910

end0.0ms

sample1.3s

Algorithm
intervals
Results
595.0ms8000×body80valid
525.0ms7997×body80nan