Details

Time bar (total: 2.8s)

sample43.0ms

Algorithm
intervals
Results
16.0ms246×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

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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 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))))))

rewrite30.0ms

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:
10.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
5.0ms
(* 6.0 (* v v))
11.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series35.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
3.0ms
(* 6.0 (* v v))
20.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify91.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
08241183
138981036
250021034

prune500.0ms

Filtered
93 candidates to 62 candidates (33.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New92193
Fresh000
Picked011
Done000
Total92294

Merged error: 0b

Counts
94 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (* (* 3.0 PI) (- 1.0 (* v v))))
0.2b
(* 6.0 (* v v))
1.0b
(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))
1.0b
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
106×add-exp-log
52×add-cbrt-cube
50×prod-exp
46×add-sqr-sqrt
44×times-frac
37×add-cube-cbrt *-un-lft-identity
29×div-exp
25×associate-*r*
22×sqrt-prod
20×cbrt-unprod
17×pow1
14×cbrt-undiv
12×associate-*l*
9×rec-exp 1-exp
8×associate-/r/
7×pow-prod-down associate-/r*
6×associate-/l*
5×associate-*r/
4×flip3-- sqrt-div flip-- div-inv add-log-exp unswap-sqr
3×pow-flip
2×frac-2neg clear-num *-commutative
1×frac-times associate-*l/ inv-pow
Counts
4 → 171
Calls
4 calls:
7.0ms
(/ 1 (* (* 3.0 PI) (- 1.0 (* v v))))
5.0ms
(* 6.0 (* v v))
21.0ms
(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))
5.0ms
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))

series32.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ 1 (* (* 3.0 PI) (- 1.0 (* v v))))
3.0ms
(* 6.0 (* v v))
16.0ms
(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))
7.0ms
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))

simplify47.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010602010
150011717

prune858.0ms

Filtered
183 candidates to 101 candidates (44.8%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1830183
Fresh000
Picked011
Done011
Total1832185

Merged error: 0b

Counts
185 → 2

regimes100.0ms

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
02411
12411

end0.0ms

sample974.0ms

Algorithm
intervals
Results
372.0ms8000×body80valid
363.0ms8053×body80nan

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