Details

Time bar (total: 6.6s)

sample28.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
8.0ms222×body80nan

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
19110
226310
362010
4113810
5147010
6151010
7151010

prune2.0ms

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

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

rewrite39.0ms

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

series800.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
264.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
23.0ms
(* 6.0 (* v v))
407.0ms
(/ 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

prune244.0ms

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
(* (* 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))

rewrite37.0ms

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:
7.0ms
(* (* 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))

series644.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
417.0ms
(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
97.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
28.0ms
(* 6.0 (* v v))

simplify118.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
09372186
144572002
250011982

prune299.0ms

Filtered
171 candidates to 109 candidates (63.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1710171
Fresh022
Picked011
Done000
Total1713174

Merged error: 0b

Counts
174 → 3

localize19.0ms

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))
0.1b
(* 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)

rewrite45.0ms

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))
5.0ms
(* 6.0 (* v v))
12.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
14.0ms
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

series1.7s

Counts
4 → 12
Calls
4 calls:
348.0ms
(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
31.0ms
(* 6.0 (* v v))
425.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
921.0ms
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

simplify52.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011522676
150022534

prune373.0ms

Filtered
166 candidates to 99 candidates (59.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1660166
Fresh011
Picked011
Done011
Total1663169

Merged error: 0b

Counts
169 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (log (exp (* 6.0 (* v v)))))))
0.1b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (log (exp (* 6.0 (* v v))))))))
2.1b
(log (exp (* 6.0 (* v v))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
20×pow1
16×associate-*r/
15×prod-exp cbrt-unprod
13×add-sqr-sqrt *-un-lft-identity
12×flip3-- sqrt-div flip--
10×add-cube-cbrt associate-*r*
9×pow-prod-down
8×frac-times associate-/r/
6×sqrt-prod
5×add-log-exp
4×cbrt-undiv div-exp associate-*l* associate-*l/ log-pow
3×log-prod times-frac associate-/l*
2×*-commutative distribute-lft-out--
1×exp-prod exp-to-pow frac-2neg rem-log-exp clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 101
Calls
4 calls:
12.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (log (exp (* 6.0 (* v v)))))))
5.0ms
(* 6.0 (* v v))
14.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (log (exp (* 6.0 (* v v))))))))
2.0ms
(log (exp (* 6.0 (* v v))))

series774.0ms

Counts
4 → 12
Calls
4 calls:
281.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (log (exp (* 6.0 (* v v)))))))
24.0ms
(* 6.0 (* v v))
439.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (log (exp (* 6.0 (* v v))))))))
30.0ms
(log (exp (* 6.0 (* v v))))

simplify97.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
08451449
139581273
250011267

prune262.0ms

Filtered
113 candidates to 75 candidates (66.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1130113
Fresh000
Picked011
Done022
Total1133116

Merged error: 0b

Counts
116 → 3

regimes65.0ms

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

sample763.0ms

Algorithm
intervals
Results
299.0ms8000×body80valid
289.0ms8052×body80nan

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