Details

Time bar (total: 7.0s)

sample38.0ms

Algorithm
intervals
Results
14.0ms250×body80nan
12.0ms256×body80valid

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)))))
0.2b
(* 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:
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))))))

series838.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
273.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
24.0ms
(* 6.0 (* v v))
426.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify113.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
08881350
144081176
250021174

prune257.0ms

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

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
28×pow1
24×associate-*r/
20×add-cbrt-cube
19×add-exp-log
18×add-sqr-sqrt flip3-- sqrt-div flip--
17×add-cube-cbrt *-un-lft-identity
16×log-div exp-diff
15×pow-prod-down
12×frac-times times-frac
9×prod-exp cbrt-unprod
8×associate-/r/
7×exp-prod associate-*r*
6×associate-*l/
5×log-prod exp-sum
4×associate-*l* associate-/r* log-pow add-log-exp
3×sqrt-prod associate-/l*
2×*-commutative
1×cbrt-undiv frac-2neg div-exp clear-num div-inv rem-exp-log unswap-sqr
Counts
4 → 114
Calls
4 calls:
12.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms
(* 6.0 (* v v))
14.0ms
(/ 4.0 (exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))
11.0ms
(exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
473.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
24.0ms
(* 6.0 (* v v))
442.0ms
(/ 4.0 (exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))
282.0ms
(exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))))

simplify109.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
08621832
139731632
250031628

prune331.0ms

Filtered
126 candidates to 94 candidates (74.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1260126
Fresh022
Picked011
Done000
Total1263129

Merged error: 0b

Counts
129 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log add-cbrt-cube
16×pow1 add-sqr-sqrt
13×associate-*r*
12×sqrt-div
11×add-cube-cbrt *-un-lft-identity
8×frac-times associate-*l* prod-exp associate-/r/ cbrt-unprod
7×pow-prod-down
6×flip3-- flip3-+ flip-- flip-+
4×associate-*r/ associate-*l/ sqrt-prod add-log-exp
3×times-frac *-commutative associate-/l* unswap-sqr
2×cbrt-undiv div-exp
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in frac-2neg clear-num associate-/r* distribute-rgt-neg-out div-inv distribute-lft-out
Counts
4 → 101
Calls
4 calls:
11.0ms
(* (+ (* (* 3.0 PI) 1.0) (* (* 3.0 PI) (- (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms
(* 6.0 (* v v))
6.0ms
(* (* 3.0 PI) (- (* v v)))
11.0ms
(/ 4.0 (* (+ (* (* 3.0 PI) 1.0) (* (* 3.0 PI) (- (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series735.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(* (+ (* (* 3.0 PI) 1.0) (* (* 3.0 PI) (- (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
25.0ms
(* 6.0 (* v v))
44.0ms
(* (* 3.0 PI) (- (* v v)))
438.0ms
(/ 4.0 (* (+ (* (* 3.0 PI) 1.0) (* (* 3.0 PI) (- (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify124.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (110.0ms)

IterNodesCost
08431457
142031243
250031224

prune277.0ms

Filtered
113 candidates to 84 candidates (74.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh011
Picked011
Done011
Total1133116

Merged error: 0b

Counts
116 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
24×associate-*r/
19×pow1
18×flip3-- sqrt-div flip--
16×associate-/r/ log-pow
15×exp-prod prod-exp cbrt-unprod
13×add-sqr-sqrt
12×frac-times add-cube-cbrt *-un-lft-identity
9×pow-prod-down
7×associate-*r*
6×times-frac associate-*l/
4×cbrt-undiv div-exp associate-*l* add-log-exp
3×log-prod sqrt-prod associate-/l*
2×*-commutative div-inv
1×frac-2neg rem-log-exp clear-num associate-/r* unswap-sqr
Counts
4 → 111
Calls
4 calls:
11.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
5.0ms
(* 6.0 (* v v))
13.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
7.0ms
(log (exp (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
280.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
24.0ms
(* 6.0 (* v v))
429.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
435.0ms
(log (exp (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))

simplify99.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
08741661
140181471
250021469

prune329.0ms

Filtered
123 candidates to 90 candidates (73.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1230123
Fresh000
Picked011
Done022
Total1233126

Merged error: 0b

Counts
126 → 3

regimes66.0ms

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
02212
12212

end0.0ms

sample975.0ms

Algorithm
intervals
Results
398.0ms8000×body80valid
385.0ms7941×body80nan