Details

Time bar (total: 1.6s)

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

sample24.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify169.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (167.0ms)

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
(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))))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
19×pow1
16×associate-*r/
15×prod-exp cbrt-unprod
14×sqrt-div
13×flip3-- flip--
12×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
9×pow-prod-down
8×frac-times associate-/r/
7×associate-*r*
6×sqrt-prod
4×cbrt-undiv div-exp associate-*l* associate-*l/ add-log-exp
3×times-frac associate-/l*
2×*-commutative
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/r* div-inv unswap-sqr
Counts
4 → 99
Calls
4 calls:
3.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
11.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
5.0ms
(* 6.0 (* v v))
13.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series42.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
13.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
3.0ms
(* 6.0 (* v v))
21.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify39.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
057442165

prune197.0ms

Filtered
83 candidates to 111 candidates (-33.7%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1101111
Fresh011
Picked101
Done000
Total1112113

Merged error: 0b

Counts
113 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
12×pow1
10×add-cube-cbrt *-un-lft-identity
7×prod-exp cbrt-unprod
6×associate-*r/ associate-*l*
5×associate-*r*
4×pow-prod-down add-log-exp
3×cbrt-undiv flip3-- times-frac div-exp sqrt-prod flip-- associate-/l*
2×sub-neg sqrt-div associate-/r/ *-commutative unswap-sqr
1×distribute-rgt-in rem-sqrt-square frac-2neg distribute-lft-in sqrt-pow1 pow1/2 clear-num associate-/r* div-inv difference-of-squares
Counts
4 → 82
Calls
4 calls:
5.0ms
(* PI (- 1.0 (* v v)))
3.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
7.0ms
(/ 4.0 (* 3.0 (* PI (- 1.0 (* v v)))))
5.0ms
(* 6.0 (* v v))

series19.0ms

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

simplify39.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05001966

prune120.0ms

Filtered
64 candidates to 94 candidates (-46.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New94094
Fresh011
Picked011
Done000
Total94296

Merged error: 0b

Counts
96 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log associate-*r/ add-cbrt-cube
15×pow1
14×sqrt-div
13×flip3-- flip--
12×prod-exp cbrt-unprod
10×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
8×frac-times associate-/r/
6×associate-*l* pow-prod-down
4×cbrt-undiv div-exp associate-*l/ add-log-exp
3×times-frac sqrt-prod associate-/l*
2×associate-*r* *-commutative
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/r* div-inv
Counts
4 → 92
Calls
4 calls:
10.0ms
(* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))
3.0ms
(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))))))))

series39.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))
5.0ms
(sqrt (- 2.0 (* v (* v 6.0))))
5.0ms
(* v (* v 6.0))
17.0ms
(/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))))

simplify37.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
057461899

prune171.0ms

Filtered
75 candidates to 104 candidates (-38.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1040104
Fresh000
Picked011
Done011
Total1042106

Merged error: 0b

Counts
106 → 2

regimes47.0ms

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

sample506.0ms

Algorithm
intervals
Results
403.0ms8000×body80valid
0.0ms1×body80nan

Profiling

Loading profile data...