Details

Time bar (total: 1.1s)

sample46.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 50.085419%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

Results
28.0ms256×body80valid

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

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.0b

Counts
2 → 1

localize12.0ms

Local error

Found 3 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))))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-cbrt-cube
17×pow1
16×associate-*r/
15×prod-exp cbrt-unprod
12×flip3-- sqrt-div flip--
9×add-sqr-sqrt pow-prod-down
8×frac-times add-cube-cbrt *-un-lft-identity associate-/r/
7×associate-*r*
4×cbrt-undiv div-exp associate-*l* associate-*l/
3×times-frac sqrt-prod associate-/l* add-log-exp
2×*-commutative
1×frac-2neg clear-num associate-/r* div-inv unswap-sqr
Counts
3 → 84
Calls
3 calls:
12.0ms
(* (* (* 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))))))

series37.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
3.0ms
(* 6.0 (* v v))
18.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify93.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
08241183
138981036
250021034

prune153.0ms

Filtered
62 candidates to 93 candidates (-50.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New92193
Fresh000
Picked101
Done000
Total93194

Merged error: 0b

Counts
94 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
7×pow1
6×add-sqr-sqrt prod-exp cbrt-unprod
5×add-cube-cbrt *-un-lft-identity
3×cbrt-undiv times-frac div-exp associate-*l* pow-prod-down associate-/l*
2×associate-*r/ associate-/r/ add-log-exp
1×flip3-- frac-2neg associate-*r* clear-num associate-/r* *-commutative flip-- div-inv unswap-sqr
Counts
2 → 44
Calls
2 calls:
7.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
6.0ms
(* 6.0 (* v v))

series9.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
3.0ms
(* 6.0 (* v v))

simplify41.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0357308
11552250
25001248

prune62.0ms

Filtered
32 candidates to 50 candidates (-56.3%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New50050
Fresh000
Picked011
Done000
Total50151

Merged error: 0b

Counts
51 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01910
11910

end0.0ms

sample500.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 50.085419%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

Results
405.0ms8000×body80valid

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