Details

Time bar (total: 1.9s)

analyze5.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.048828%

Space saved by search: 50.085419%

Guaranteed chance to sample good point: 99.987778%

sample19.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
19110
226310
362010
4113810
5147010
6151010
7151010

prune3.0ms

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))))))

rewrite41.0ms

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

series38.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
12.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
3.0ms
(* 6.0 (* v v))
16.0ms
(/ 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 (91.0ms)

IterNodesCost
08881350
144081176
250021174

prune184.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1192121
Fresh000
Picked101
Done000
Total1202122

Merged error: 0b

Counts
122 → 2

localize16.0ms

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)))))))

rewrite49.0ms

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:
14.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
5.0ms
(* 6.0 (* v v))
15.0ms
(/ 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)))))))

series44.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
3.0ms
(* 6.0 (* v v))
16.0ms
(/ 4.0 (exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))))
13.0ms
(exp (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))))

simplify102.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
08621832
139731632
250021628

prune280.0ms

Filtered
94 candidates to 126 candidates (-34.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1260126
Fresh011
Picked011
Done000
Total1262128

Merged error: 0b

Counts
128 → 2

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

rewrite42.0ms

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:
7.0ms
(* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))
10.0ms
(* (* 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)))))))

series40.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))
12.0ms
(* (* 3.0 PI) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))))
3.0ms
(* 6.0 (* v v))
16.0ms
(/ 4.0 (* (* 3.0 PI) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))))

simplify101.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
09491587
142991393
250031391

prune199.0ms

Filtered
86 candidates to 127 candidates (-47.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1270127
Fresh000
Picked011
Done011
Total1272129

Merged error: 0b

Counts
129 → 2

regimes71.0ms

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

analyze5.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.048828%

Space saved by search: 50.085419%

Guaranteed chance to sample good point: 99.987778%

sample510.0ms

Algorithm
intervals
Results
417.0ms8000×body80valid

Profiling

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