Details

Time bar (total: 2.9s)

sample24.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 47.04159%

Guaranteed chance to sample good point: 0%

Results
13.0ms256×body80valid
1.0ms15×body80nan

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
19110
226310
362010
4113810
5147010
6151010
7151010

prune8.0ms

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)))
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))))))

rewrite53.0ms

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:
12.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
17.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
5.0ms
(* 6.0 (* v v))
11.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series53.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
15.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
3.0ms
(* 6.0 (* v v))
28.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify107.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
08881350
144081176
250021174

prune185.0ms

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

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1183121
Fresh000
Picked101
Done000
Total1193122

Merged error: 0b

Counts
122 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

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:
12.0ms
(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
9.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
7.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
5.0ms
(* 6.0 (* v v))

series33.0ms

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

simplify114.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
09372186
144572002
250011982

prune253.0ms

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

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1710171
Fresh022
Picked011
Done000
Total1713174

Merged error: 0b

Counts
174 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
38×add-exp-log
30×log-prod
24×associate-*r/ associate-/r/
23×add-cbrt-cube
18×flip3-- sqrt-div flip--
15×exp-sum prod-exp
13×add-sqr-sqrt
12×frac-times add-cube-cbrt *-un-lft-identity
11×pow1
9×times-frac cbrt-unprod
8×div-exp
6×associate-*l/
5×rem-log-exp
4×cbrt-undiv exp-prod add-log-exp
3×associate-*l* pow-prod-down div-inv associate-/l*
2×log-div log-pow
1×frac-2neg exp-diff associate-*r* clear-num associate-/r* *-commutative rem-exp-log unswap-sqr
Counts
4 → 109
Calls
4 calls:
5.0ms
(* 6.0 (* v v))
13.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
11.0ms
(log (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))))
12.0ms
(exp (log (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))

series65.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* 6.0 (* v v))
16.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
28.0ms
(log (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))))
16.0ms
(exp (log (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))

simplify108.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09991878
147041696
250011696

prune276.0ms

Filtered
92 candidates to 121 candidates (-31.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1210121
Fresh011
Picked011
Done011
Total1213124

Merged error: 0b

Counts
124 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
66×sqrt-prod
49×associate-*r/
48×associate-/r/
40×sqrt-div
39×add-exp-log add-cbrt-cube
36×flip3-- flip--
34×add-sqr-sqrt
25×frac-times
24×pow1
21×add-cube-cbrt *-un-lft-identity associate-*l*
20×swap-sqr
19×associate-*r*
18×times-frac
16×prod-exp cbrt-unprod
13×associate-*l/
8×cbrt-undiv sqrt-pow1 pow1/2 div-exp
6×pow-prod-down div-inv associate-/l*
5×pow-prod-up unswap-sqr
4×add-log-exp
3×pow-sqr
2×frac-2neg clear-num associate-/r* *-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 173
Calls
4 calls:
5.0ms
(* 6.0 (* v v))
12.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
12.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
31.0ms
(* (sqrt (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))) (sqrt (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))

series63.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 6.0 (* v v))
17.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
17.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
26.0ms
(* (sqrt (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))) (sqrt (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))

simplify63.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
09913010
150012693

prune501.0ms

Filtered
126 candidates to 185 candidates (-46.8%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1850185
Fresh000
Picked011
Done022
Total1853188

Merged error: 0b

Counts
188 → 3

regimes162.0ms

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

sample613.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 47.04159%

Guaranteed chance to sample good point: 0%

Results
432.0ms8000×body80valid
25.0ms516×body80nan

Profiling

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