Details

Time bar (total: 4.8s)

sample33.0ms

Algorithm
intervals
Results
12.0ms270×body80nan
9.0ms256×body80valid

simplify57.0ms

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

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))))))

rewrite72.0ms

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))))
32.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms
(* 6.0 (* v v))
28.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series794.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
272.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
24.0ms
(* 6.0 (* v v))
420.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify100.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
08731328
141241178
250021175

prune269.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
88×sqrt-prod
82×times-frac
78×add-sqr-sqrt
62×add-cube-cbrt *-un-lft-identity
43×add-exp-log associate-*r* add-cbrt-cube
17×prod-exp cbrt-unprod
15×associate-*l*
12×pow1
11×cbrt-undiv div-exp
6×sqrt-div associate-/r* associate-/r/ associate-/l* unswap-sqr
4×flip3-- pow-prod-down flip-- add-log-exp
3×associate-*r/ div-inv
2×*-commutative
1×frac-times rem-sqrt-square sqrt-undiv frac-2neg sqrt-pow1 pow1/2 associate-*l/ clear-num
Counts
4 → 184
Calls
4 calls:
3.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
6.0ms
(* 6.0 (* v v))
6.0ms
(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
54.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

series932.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
24.0ms
(* 6.0 (* v v))
219.0ms
(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
607.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify51.0ms

Algorithm
egg-herbie
Counts
196 → 196
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
010972643
150012350

prune508.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize32.0ms

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))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
33×add-exp-log add-cbrt-cube
19×pow1
15×prod-exp cbrt-unprod
12×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down
8×associate-*r/ associate-/r/
6×flip3-- sqrt-div flip--
4×cbrt-undiv frac-times div-exp add-log-exp
3×times-frac associate-*r* *-commutative associate-/l* unswap-sqr
2×associate-*l/
1×frac-2neg clear-num associate-/r* div-inv
Counts
4 → 90
Calls
4 calls:
6.0ms
(* 6.0 (* v v))
6.0ms
(* 6.0 (* v v))
6.0ms
(* 6.0 (* v v))
39.0ms
(/ 4.0 (* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))))

series414.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* 6.0 (* v v))
24.0ms
(* 6.0 (* v v))
24.0ms
(* 6.0 (* v v))
337.0ms
(/ 4.0 (* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))))

simplify71.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0553960
12520805
25001805

prune553.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes29.0ms

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
02213
12213

end0.0ms

sample740.0ms

Algorithm
intervals
Results
293.0ms8000×body80valid
264.0ms8063×body80nan