Details

Time bar (total: 2.4s)

analyze5.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50.1%13
49.9%0%50.1%14

sample42.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify182.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (180.0ms)

IterNodesCost
0198720
1198720

prune8.0ms

Filtered
1 candidates to 1 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 → 2

localize12.0ms

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×sub-neg
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 107
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)))))
6.0ms
(* 6.0 (* v v))
12.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series44.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
13.0ms
(* (* (* 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))))))

simplify46.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
056262185

prune198.0ms

Filtered
83 candidates to 119 candidates (-43.4%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1181119
Fresh011
Picked101
Done000
Total1192121

Merged error: 0b

Counts
121 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
16×pow1
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity associate-*r/ prod-exp cbrt-unprod
9×associate-*l*
7×pow-prod-down
6×sub-neg associate-*r*
5×distribute-rgt-in distribute-lft-in
4×add-log-exp
3×cbrt-undiv flip3-- times-frac div-exp *-commutative flip-- associate-/l*
2×associate-/r/ unswap-sqr
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares
Counts
4 → 91
Calls
4 calls:
7.0ms
(/ 4.0 (* 3.0 (* PI (- 1.0 (* v v)))))
6.0ms
(* PI (- 1.0 (* v v)))
7.0ms
(* 3.0 (* PI (- 1.0 (* v v))))
6.0ms
(* 6.0 (* v v))

series22.0ms

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

simplify51.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05364999

prune121.0ms

Filtered
64 candidates to 103 candidates (-60.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1030103
Fresh011
Picked011
Done000
Total1032105

Merged error: 0b

Counts
105 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
38×associate-*r/
34×add-exp-log add-cbrt-cube
20×pow1
18×flip3-- sqrt-div flip--
16×add-sqr-sqrt prod-exp cbrt-unprod
12×frac-times
11×add-cube-cbrt *-un-lft-identity
10×associate-*l* pow-prod-down
8×associate-*r* associate-/r/
6×associate-*l/
4×cbrt-undiv div-exp sqrt-prod add-log-exp
3×times-frac *-commutative associate-/l*
2×unswap-sqr
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares
Counts
4 → 111
Calls
4 calls:
13.0ms
(* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))))
9.0ms
(* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))
5.0ms
(* v (* v 6.0))
14.0ms
(/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))))

series46.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))))
9.0ms
(* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))
3.0ms
(* v (* v 6.0))
20.0ms
(/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))))

simplify78.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049712489
149712489

prune214.0ms

Filtered
86 candidates to 123 candidates (-43.0%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1230123
Fresh000
Picked011
Done011
Total1232125

Merged error: 0b

Counts
125 → 2

regimes51.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05520
15520

end0.0ms

sample1.1s

Algorithm
intervals
Results
375.0ms8000×body80valid

Profiling

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