Details

Time bar (total: 4.7s)

sample38.0ms

Algorithm
intervals
Results
12.0ms270×body80nan
11.0ms256×body80valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
19110
226310
362010
4113810
5147010
6151010
7151010

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.0b

Counts
2 → 1

localize16.0ms

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

rewrite37.0ms

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)))))
6.0ms
(* (* 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))))))

series797.0ms

Counts
4 → 12
Calls
4 calls:
267.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
98.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
26.0ms
(* 6.0 (* v v))
405.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify110.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
08881350
144081176
250021174

prune343.0ms

Filtered
121 candidates to 78 candidates (64.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1183121
Fresh000
Picked101
Done000
Total1193122

Merged error: 0b

Counts
122 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1
14×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×pow-prod-down prod-exp cbrt-unprod add-log-exp
5×associate-*r*
4×associate-*l*
3×sub-neg flip3-- sqrt-prod flip--
2×distribute-rgt-in distribute-lft-in sqrt-div associate-*r/ *-commutative
1×rem-sqrt-square sqrt-pow1 pow1/2 diff-log difference-of-squares unswap-sqr
Counts
4 → 71
Calls
4 calls:
2.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
3.0ms
(- 2.0 (* 6.0 (* v v)))
6.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
5.0ms
(* 6.0 (* v v))

series268.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
59.0ms
(- 2.0 (* 6.0 (* v v)))
103.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
29.0ms
(* 6.0 (* v v))

simplify45.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0395458
11702415
25002413

prune211.0ms

Filtered
83 candidates to 53 candidates (63.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New83083
Fresh022
Picked011
Done000
Total83386

Merged error: 0b

Counts
86 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- PI (* (pow v 2) PI))
0.1b
(* 6.0 (* v v))
0.1b
(* (pow v 2) PI)
1.0b
(/ 4.0 (* (* 3.0 (- PI (* (pow v 2) PI))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
20×add-cbrt-cube
17×add-sqr-sqrt
11×*-un-lft-identity associate-*l*
10×add-cube-cbrt
9×pow1 prod-exp
8×associate-*r/ associate-/r/
7×flip3-- flip-- cbrt-unprod
6×sqrt-div add-log-exp
5×unswap-sqr
4×frac-times unpow-prod-down associate-*r*
3×cbrt-undiv times-frac div-exp pow-prod-down associate-/l*
2×associate-*l/ *-commutative unpow2 sqr-pow
1×pow-to-exp sub-neg distribute-rgt-out-- frac-2neg diff-log pow-exp clear-num associate-/r* div-inv
Counts
4 → 90
Calls
4 calls:
3.0ms
(- PI (* (pow v 2) PI))
5.0ms
(* 6.0 (* v v))
5.0ms
(* (pow v 2) PI)
10.0ms
(/ 4.0 (* (* 3.0 (- PI (* (pow v 2) PI))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series490.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(- PI (* (pow v 2) PI))
24.0ms
(* 6.0 (* v v))
25.0ms
(* (pow v 2) PI)
389.0ms
(/ 4.0 (* (* 3.0 (- PI (* (pow v 2) PI))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify76.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0666803
12806706
25001706

prune302.0ms

Filtered
102 candidates to 69 candidates (67.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1020102
Fresh011
Picked011
Done011
Total1023105

Merged error: 0b

Counts
105 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log
29×add-cbrt-cube
24×add-sqr-sqrt
21×pow1
16×cbrt-prod prod-exp cbrt-unprod
14×add-cube-cbrt *-un-lft-identity
11×associate-*r*
10×associate-*l*
8×pow-prod-down
6×cbrt-undiv pow1/3 swap-sqr div-exp
5×unswap-sqr
4×associate-*r/ add-log-exp
3×*-commutative
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-/r/ pow-sqr pow-prod-up flip--
1×pow2 frac-2neg times-frac pow-plus clear-num associate-/r* div-inv associate-/l* difference-of-squares
Counts
4 → 111
Calls
4 calls:
6.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
5.0ms
(* 6.0 (* v v))
10.0ms
(/ (* (cbrt 4.0) (cbrt 4.0)) (* (* 3.0 PI) (- 1.0 (* v v))))
5.0ms
(* (cbrt 4.0) (cbrt 4.0))

series358.0ms

Counts
4 → 10
Calls
4 calls:
111.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
24.0ms
(* 6.0 (* v v))
223.0ms
(/ (* (cbrt 4.0) (cbrt 4.0)) (* (* 3.0 PI) (- 1.0 (* v v))))
0.0ms
(* (cbrt 4.0) (cbrt 4.0))

simplify82.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
0543790
13293653
25002632

prune311.0ms

Filtered
121 candidates to 71 candidates (58.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1210121
Fresh000
Picked011
Done022
Total1213124

Merged error: 0b

Counts
124 → 3

regimes60.0ms

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

sample960.0ms

Algorithm
intervals
Results
362.0ms8000×body80valid
356.0ms7984×body80nan

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