Details

Time bar (total: 3.8s)

sample29.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
8.0ms247×body80nan

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
19110
226310
362010
4113810
5147010
6151010
7151010

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize15.0ms

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))))))

rewrite77.0ms

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))))
33.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
7.0ms
(* 6.0 (* v v))
31.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series803.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
273.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
24.0ms
(* 6.0 (* v v))
426.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify108.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
08731328
141241178
250021175

prune266.0ms

Filtered
111 candidates to 77 candidates (69.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

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))

rewrite45.0ms

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:
17.0ms
(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
3.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
9.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
7.0ms
(* 6.0 (* v v))

series628.0ms

Counts
4 → 12
Calls
4 calls:
425.0ms
(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
79.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
100.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
24.0ms
(* 6.0 (* v v))

simplify115.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
09522165
143362004
250011983

prune359.0ms

Filtered
161 candidates to 108 candidates (67.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 6.0 (* v v))
0.2b
(* 6.0 (* v v))
0.2b
(* 6.0 (* v v))
0.2b
(* 6.0 (* v v))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1 add-exp-log add-cbrt-cube
12×add-sqr-sqrt associate-*l* pow-prod-down prod-exp cbrt-unprod
8×add-cube-cbrt *-un-lft-identity
4×associate-*r* *-commutative add-log-exp unswap-sqr
Counts
4 → 76
Calls
4 calls:
7.0ms
(* 6.0 (* v v))
7.0ms
(* 6.0 (* v v))
7.0ms
(* 6.0 (* v v))
7.0ms
(* 6.0 (* v v))

series101.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 6.0 (* v v))
24.0ms
(* 6.0 (* v v))
28.0ms
(* 6.0 (* v v))
24.0ms
(* 6.0 (* v v))

simplify104.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
086300
1289240
2825240
32881240
45001240

prune244.0ms

Filtered
88 candidates to 48 candidates (54.5%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes56.0ms

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
03225
13225

end0.0ms

sample730.0ms

Algorithm
intervals
Results
291.0ms8000×body80valid
264.0ms7925×body80nan