Details

Time bar (total: 3.0s)

sample37.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
13.0ms262×body80nan

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
19110
226310
362010
4113810
5147010
6151010
7151010

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.0b

Counts
2 → 1

localize17.0ms

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))))))

rewrite40.0ms

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:
7.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
11.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms
(* 6.0 (* v v))
12.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series50.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (* 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))
20.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify104.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
08881350
144081176
250021174

prune194.0ms

Filtered
121 candidates to 78 candidates (35.5%)
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))

rewrite41.0ms

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:
15.0ms
(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
7.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
5.0ms
(* 6.0 (* v v))

series37.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
8.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
6.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
3.0ms
(* 6.0 (* v v))

simplify109.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
09372186
144572002
250011982

prune263.0ms

Filtered
171 candidates to 109 candidates (36.3%)
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:

0.0b
(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
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
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
40×associate-*r/ associate-/r/
38×add-exp-log add-cbrt-cube
36×cbrt-prod
30×unpow-prod-down flip3-- sqrt-div cube-prod flip--
20×frac-times
18×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
15×times-frac prod-exp cbrt-unprod
10×pow1 associate-*l/
8×cbrt-undiv div-exp
5×pow-exp div-inv rem-cube-cbrt
4×add-log-exp
3×pow-unpow associate-*l* pow-prod-down associate-/l*
2×cube-div cube-mult unpow3 sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 associate-*r* clear-num associate-/r* *-commutative rem-cbrt-cube unswap-sqr
Counts
4 → 154
Calls
4 calls:
7.0ms
(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
6.0ms
(* 6.0 (* v v))
12.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
15.0ms
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

series84.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
3.0ms
(* 6.0 (* v v))
20.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
44.0ms
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

simplify54.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011522672
150022532

prune327.0ms

Filtered
166 candidates to 99 candidates (40.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1660166
Fresh011
Picked011
Done011
Total1663169

Merged error: 0b

Counts
169 → 3

localize12.0ms

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))))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
32×associate-*r/
23×pow1
18×prod-exp cbrt-unprod
13×flip3-- flip--
12×sqrt-div pow-prod-down
11×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
8×distribute-rgt-in frac-times distribute-lft-in associate-*r* associate-/r/
7×associate-*l*
4×cbrt-undiv sub-neg div-exp associate-*l/ add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
1×frac-2neg clear-num associate-/r* div-inv unswap-sqr
Counts
4 → 112
Calls
4 calls:
7.0ms
(* 3.0 (* PI (- 1.0 (* v v))))
11.0ms
(* (* 3.0 (* PI (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* 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))))))

series48.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* 3.0 (* PI (- 1.0 (* v v))))
14.0ms
(* (* 3.0 (* PI (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
3.0ms
(* 6.0 (* v v))
22.0ms
(/ 4.0 (* (* 3.0 (* PI (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify93.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
08861368
140021194
250011192

prune177.0ms

Filtered
124 candidates to 77 candidates (37.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1240124
Fresh000
Picked011
Done022
Total1243127

Merged error: 0b

Counts
127 → 3

regimes111.0ms

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

sample1.1s

Algorithm
intervals
Results
404.0ms8179×body80nan
403.0ms8000×body80valid

Profiling

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