Details

Time bar (total: 2.9s)

sample41.0ms

Algorithm
intervals
Results
15.0ms312×body80nan
13.0ms256×body80valid

simplify55.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.0b

Counts
2 → 1

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))) (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))))))

rewrite37.0ms

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)))))
5.0ms
(* 6.0 (* v v))
14.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series776.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
263.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
29.0ms
(* 6.0 (* v v))
407.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify99.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
08731328
141241178
250021175

prune232.0ms

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

rewrite23.0ms

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:
6.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
7.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
2.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
5.0ms
(* 6.0 (* v v))

series299.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
101.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
75.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
24.0ms
(* 6.0 (* v v))

simplify60.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0543615
12462532
25001531

prune162.0ms

Filtered
96 candidates to 63 candidates (65.6%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New96096
Fresh000
Picked011
Done011
Total96298

Merged error: 0b

Counts
98 → 2

regimes47.0ms

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

sample1.0s

Algorithm
intervals
Results
407.0ms8000×body80valid
394.0ms8165×body80nan