Details

Time bar (total: 3.5s)

sample35.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
11.0ms217×body80nan

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
19110
226310
362010
4113810
5147010
6151010
7151010

prune3.0ms

Filtered
1 candidates to 0 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 → 1

localize14.0ms

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:
2.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
11.0ms
(* (* (* 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))))))

series817.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
275.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
32.0ms
(* 6.0 (* v v))
428.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify101.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
08731329
141241177
250021174

prune239.0ms

Filtered
111 candidates to 77 candidates (69.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1101111
Fresh000
Picked011
Done000
Total1102112

Merged error: 0b

Counts
112 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
44×add-sqr-sqrt
42×add-cube-cbrt *-un-lft-identity
33×sqrt-prod
32×add-exp-log add-cbrt-cube
18×associate-/r/
16×associate-*r/
12×associate-/l*
10×pow1 cbrt-undiv flip3-- div-exp flip--
9×prod-exp cbrt-unprod div-inv
7×associate-/r*
4×sqrt-div add-log-exp
3×associate-*l* pow-prod-down
2×frac-2neg clear-num
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r* *-commutative associate-/l/ unswap-sqr
Counts
4 → 149
Calls
4 calls:
12.0ms
(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
2.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
7.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
5.0ms
(* 6.0 (* v v))

series642.0ms

Counts
4 → 12
Calls
4 calls:
432.0ms
(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
81.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
100.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
29.0ms
(* 6.0 (* v v))

simplify115.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
09522164
143362003
250011982

prune305.0ms

Filtered
161 candidates to 108 candidates (67.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1610161
Fresh000
Picked011
Done011
Total1612163

Merged error: 0b

Counts
163 → 2

regimes49.0ms

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
01910
11910

end0.0ms

sample986.0ms

Algorithm
intervals
Results
410.0ms8000×body80valid
394.0ms7992×body80nan

Profiling

Loading profile data...