Details

Time bar (total: 6.5s)

sample39.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
12.0ms251×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
(sqrt (- 2.0 (* 6.0 (* 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))))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
19×pow1
16×associate-*r/
15×prod-exp cbrt-unprod
14×sqrt-div
13×flip3-- flip--
12×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
9×pow-prod-down
8×frac-times associate-/r/
7×associate-*r*
6×sqrt-prod
4×cbrt-undiv div-exp associate-*l* associate-*l/ add-log-exp
3×times-frac associate-/l*
2×*-commutative
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/r* div-inv unswap-sqr
Counts
4 → 99
Calls
4 calls:
2.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
12.0ms
(* (* (* 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))))))

series808.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
273.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
24.0ms
(* 6.0 (* v v))
431.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify104.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
08731328
141241177
250021174

prune241.0ms

Filtered
111 candidates to 77 candidates (69.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1083111
Fresh000
Picked101
Done000
Total1093112

Merged error: 0b

Counts
112 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
9×pow1 add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×prod-exp cbrt-unprod
3×cbrt-undiv times-frac div-exp associate-*l* pow-prod-down sqrt-prod associate-/l* add-log-exp
2×flip3-- sqrt-div associate-*r/ associate-/r/ flip--
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 associate-*r* clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
3 → 59
Calls
3 calls:
2.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
7.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
10.0ms
(* 6.0 (* v v))

series220.0ms

Counts
3 → 9
Calls
3 calls:
97.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
99.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
24.0ms
(* 6.0 (* v v))

simplify48.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0479448
11997391
25003391

prune131.0ms

Filtered
68 candidates to 48 candidates (70.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New68068
Fresh022
Picked011
Done000
Total68371

Merged error: 0b

Counts
71 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

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
(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))))))))

rewrite53.0ms

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:
6.0ms
(* 6.0 (* v v))
13.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
12.0ms
(log (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))))
17.0ms
(exp (log (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))

series1.7s

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 6.0 (* v v))
433.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
827.0ms
(log (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))))
430.0ms
(exp (log (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))

simplify115.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09991878
147041696
250011696

prune367.0ms

Filtered
121 candidates to 93 candidates (76.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1210121
Fresh011
Picked011
Done011
Total1213124

Merged error: 0b

Counts
124 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log add-cbrt-cube
23×pow1
22×associate-*r/
20×prod-exp cbrt-unprod
18×flip3-- sqrt-div flip--
16×add-sqr-sqrt
12×frac-times pow-prod-down
10×add-cube-cbrt *-un-lft-identity
8×associate-*r* associate-*l* associate-/r/
6×associate-*l/
5×cbrt-undiv div-exp
4×sqrt-prod add-log-exp
3×times-frac *-commutative associate-/l* unswap-sqr
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares
Counts
4 → 115
Calls
4 calls:
8.0ms
(* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))
11.0ms
(* (* 3.0 PI) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))))
6.0ms
(* 6.0 (* v v))
14.0ms
(/ 4.0 (* (* 3.0 PI) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))))

series948.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))
292.0ms
(* (* 3.0 PI) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))))
25.0ms
(* 6.0 (* v v))
442.0ms
(/ 4.0 (* (* 3.0 PI) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))))

simplify107.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
09491587
142991393
250031391

prune283.0ms

Filtered
127 candidates to 86 candidates (67.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1270127
Fresh000
Picked011
Done022
Total1273130

Merged error: 0b

Counts
130 → 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

sample1.0s

Algorithm
intervals
Results
407.0ms8162×body80nan
396.0ms8000×body80valid

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