Details

Time bar (total: 5.2s)

sample32.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
9.0ms246×body80nan

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
19110
226310
362010
4113810
5147010
6151010
7151010

prune2.0ms

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
(* (* 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))))))

rewrite178.0ms

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×distribute-rgt-in sub-neg distribute-lft-in
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 109
Calls
4 calls:
24.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
70.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
15.0ms
(* 6.0 (* v v))
64.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series771.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
254.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
22.0ms
(* 6.0 (* v v))
397.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify106.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
08881350
144081176
250021174

prune266.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

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

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
15×pow1
12×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
6×pow-prod-down
5×associate-*r*
4×associate-*r/ associate-*l* add-log-exp
3×cbrt-undiv flip3-- times-frac div-exp sqrt-prod flip-- associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in sqrt-div associate-/r/ *-commutative
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 84
Calls
4 calls:
5.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
26.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
19.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
16.0ms
(* 6.0 (* v v))

series284.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
103.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
91.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
23.0ms
(* 6.0 (* v v))

simplify67.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0543615
12462532
25001531

prune388.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 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 (cbrt (pow (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))) 3)))
1.0b
(pow (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))) 3)

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
32×cbrt-prod
30×add-exp-log
29×add-sqr-sqrt add-cbrt-cube
28×pow1 add-cube-cbrt *-un-lft-identity
24×associate-*r/
18×flip3-- sqrt-div flip--
16×cube-div
15×pow-prod-down prod-exp cbrt-unprod
12×frac-times
11×associate-/r*
8×cbrt-div associate-/r/
7×associate-*r*
6×associate-*l/
5×cube-mult unpow-prod-down unpow3 cube-prod sqr-pow
4×pow-pow associate-*l* pow-exp add-log-exp rem-cube-cbrt
3×pow-unpow sqrt-prod associate-/l*
2×*-commutative
1×cbrt-undiv pow-to-exp frac-2neg div-exp clear-num div-inv unswap-sqr
Counts
4 → 154
Calls
4 calls:
71.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
18.0ms
(* 6.0 (* v v))
19.0ms
(/ 4.0 (cbrt (pow (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))) 3)))
64.0ms
(pow (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))) 3)

series1.3s

Counts
4 → 12
Calls
4 calls:
256.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
23.0ms
(* 6.0 (* v v))
401.0ms
(/ 4.0 (cbrt (pow (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))) 3)))
648.0ms
(pow (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))) 3)

simplify58.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011722601
150022483

prune501.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes39.0ms

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

sample857.0ms

Algorithm
intervals
Results
316.0ms8000×body80valid
286.0ms7949×body80nan