Details

Time bar (total: 16.4s)

sample124.0ms

Algorithm
intervals
Results
42.0ms275×body80nan
41.0ms256×body80valid

simplify2.4s

Counts
1 → 1
Iterations
IterNodes
62811
51684
4612
3200
287
132
016

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac
136×*-un-lft-identity
111×add-sqr-sqrt
110×add-cube-cbrt
57×sqrt-prod
26×distribute-rgt-out--
21×associate-/l*
16×add-cbrt-cube add-exp-log associate-/r/
10×associate-/r*
9×pow1 flip3-- div-inv flip--
6×add-log-exp
4×expm1-log1p-u cbrt-undiv div-exp log1p-expm1-u
3×fma-neg associate-*r* prod-diff pow-prod-down prod-exp cbrt-unprod
2×clear-num frac-2neg
1×sub-neg diff-log associate-*l* *-commutative unswap-sqr associate-/l/
Counts
4 → 226
Calls
4 calls:
9.0ms
(- PI (* (* v v) PI))
23.0ms
(/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (fma -6 (* v v) 2)))
26.0ms
(* (* v v) PI)
13.0ms
(/ 4/3 (- PI (* (* v v) PI)))

series781.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(- PI (* (* v v) PI))
514.0ms
(/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (fma -6 (* v v) 2)))
48.0ms
(* (* v v) PI)
147.0ms
(/ 4/3 (- PI (* (* v v) PI)))

simplify1.6s

Counts
238 → 238
Iterations
IterNodes
22909
11019
0411

prune2.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize39.0ms

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))))))

rewrite139.0ms

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×expm1-log1p-u cbrt-undiv div-exp associate-*l* associate-*l/ log1p-expm1-u 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 → 107
Calls
4 calls:
4.0ms
(sqrt (- 2 (* 6 (* v v))))
65.0ms
(* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))
12.0ms
(* 6 (* v v))
54.0ms
(/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
98.0ms
(sqrt (- 2 (* 6 (* v v))))
386.0ms
(* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))
56.0ms
(* 6 (* v v))
546.0ms
(/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))

simplify3.2s

Counts
119 → 119
Iterations
IterNodes
23297
1918
0306

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes97.0ms

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
213
113
012

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.5s8255×body80nan
1.3s8000×body80valid