Details

Time bar (total: 2.1s)

sample36.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
6.0ms136×body80nan

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
19110
226310
362010
4113810
5147010
6151010
7151010

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.0b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

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:
10.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
7.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
5.0ms
(* 6.0 (* v v))
12.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series43.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
8.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
3.0ms
(* 6.0 (* v v))
19.0ms
(/ 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 (92.0ms)

IterNodesCost
08881350
144081176
250021174

prune174.0ms

Filtered
78 candidates to 121 candidates (-55.1%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1192121
Fresh000
Picked101
Done000
Total1202122

Merged error: 0b

Counts
122 → 2

localize13.0ms

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))))
0.2b
(* 6.0 (* v v))

rewrite36.0ms

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:
6.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
12.0ms
(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
7.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
5.0ms
(* 6.0 (* v v))

series32.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (* 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)))))
5.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
3.0ms
(* 6.0 (* v v))

simplify111.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
09372186
144572002
250011982

prune244.0ms

Filtered
109 candidates to 171 candidates (-56.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1710171
Fresh011
Picked011
Done000
Total1712173

Merged error: 0b

Counts
173 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1
19×add-cbrt-cube
18×add-exp-log
12×associate-*r/
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity pow-prod-down
8×log-div flip3-- exp-diff associate-/r/ flip--
7×prod-exp cbrt-unprod
6×exp-prod sqrt-div
5×associate-*r*
4×frac-times associate-*l* add-log-exp
3×times-frac log-pow associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp associate-*l/ *-commutative
1×log-prod frac-2neg exp-sum clear-num associate-/r* div-inv rem-exp-log difference-of-squares unswap-sqr
Counts
4 → 90
Calls
4 calls:
7.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
5.0ms
(* 6.0 (* v v))
13.0ms
(/ 4.0 (* (exp (log (* (* 3.0 PI) (- 1.0 (* v v))))) (sqrt (- 2.0 (* 6.0 (* v v))))))
6.0ms
(exp (log (* (* 3.0 PI) (- 1.0 (* v v)))))

series34.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
3.0ms
(* 6.0 (* v v))
17.0ms
(/ 4.0 (* (exp (log (* (* 3.0 PI) (- 1.0 (* v v))))) (sqrt (- 2.0 (* 6.0 (* v v))))))
7.0ms
(exp (log (* (* 3.0 PI) (- 1.0 (* v v)))))

simplify78.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0662897
13046779
25001770

prune151.0ms

Filtered
68 candidates to 102 candidates (-50.0%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1020102
Fresh000
Picked011
Done011
Total1022104

Merged error: 0b

Counts
104 → 2

regimes49.0ms

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

sample814.0ms

Algorithm
intervals
Results
412.0ms8000×body80valid
197.0ms4122×body80nan

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