Details

Time bar (total: 12.9s)

sample103.0ms

Algorithm
intervals
Results
43.0ms256×body80valid
40.0ms275×body80nan

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
62456
51446
4551
3188
287
132
016

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b
(* v (* PI v))
0.2b
(* 6 (* v v))
0.2b
(* PI v)
1.0b
(/ 4/3 (- PI (* v (* PI v))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
18×add-cbrt-cube add-exp-log
16×pow1 *-un-lft-identity add-cube-cbrt
9×times-frac associate-*l*
7×pow-prod-down prod-exp cbrt-unprod
5×associate-*r*
4×add-log-exp
3×associate-/r* *-commutative associate-/l*
2×associate-/r/ unswap-sqr
1×cbrt-undiv clear-num frac-2neg flip3-- div-exp div-inv flip--
Counts
4 → 84
Calls
4 calls:
11.0ms
(* v (* PI v))
11.0ms
(* 6 (* v v))
6.0ms
(* PI v)
12.0ms
(/ 4/3 (- PI (* v (* PI v))))

series229.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* v (* PI v))
30.0ms
(* 6 (* v v))
41.0ms
(* PI v)
114.0ms
(/ 4/3 (- PI (* v (* PI v))))

simplify2.1s

Counts
96 → 96
Iterations
IterNodes
34029
21054
1372
0153

prune859.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 2 (* 6 (* v v))))
0.0b
(* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))
0.2b
(* 6 (* v v))
1.0b
(/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
32×add-cbrt-cube add-exp-log
19×pow1
16×associate-*r/
15×prod-exp cbrt-unprod
14×sqrt-div
13×flip3-- flip--
12×add-sqr-sqrt
10×*-un-lft-identity add-cube-cbrt
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 clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 div-inv unswap-sqr
Counts
4 → 99
Calls
4 calls:
6.0ms
(sqrt (- 2 (* 6 (* v v))))
78.0ms
(* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))
11.0ms
(* 6 (* v v))
87.0ms
(/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
98.0ms
(sqrt (- 2 (* 6 (* v v))))
342.0ms
(* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))
55.0ms
(* 6 (* v v))
510.0ms
(/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))

simplify2.3s

Counts
111 → 111
Iterations
IterNodes
23291
1882
0298

prune975.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes80.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
217
117
014

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.8s8255×body80nan
1.2s8000×body80valid