Details

Time bar (total: 14.2s)

sample73.0ms

Algorithm
intervals
Results
25.0ms256×body80valid
22.0ms251×body80nan

simplify4.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
016367
132367
290367
3259367
4710367
51639367
62871367
74019367
done5001367

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize26.0ms

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))))))

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
37×add-cbrt-cube add-exp-log
23×pow1
18×prod-exp associate-*r/ cbrt-unprod
13×flip3-- flip--
12×add-sqr-sqrt sqrt-div pow-prod-down
11×associate-*r*
10×*-un-lft-identity add-cube-cbrt
8×frac-times associate-/r/
5×associate-*l*
4×cbrt-undiv div-exp associate-*l/ add-log-exp
3×times-frac *-commutative sqrt-prod associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×clear-num associate-/r* frac-2neg div-inv difference-of-squares unswap-sqr
Counts
4 → 109
Calls
4 calls:
28.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
66.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
26.0ms
(* 6.0 (* v v))
82.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
171.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
331.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
36.0ms
(* 6.0 (* v v))
528.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify1.4s

Counts
121 → 121
Iterations

Useful iterations: done (1.4s)

IterNodesCost
030954478
193145758
done500144556

prune747.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
23×add-cbrt-cube add-exp-log
15×pow1
12×add-sqr-sqrt
9×*-un-lft-identity prod-exp add-cube-cbrt cbrt-unprod
6×pow-prod-down
5×associate-*r*
4×associate-*l* associate-*r/ add-log-exp
3×cbrt-undiv times-frac flip3-- 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 clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 div-inv difference-of-squares unswap-sqr
Counts
4 → 84
Calls
4 calls:
32.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
7.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
38.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
25.0ms
(* 6.0 (* v v))

series504.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
111.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
172.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
51.0ms
(* 6.0 (* v v))

simplify2.4s

Counts
96 → 96
Iterations

Useful iterations: done (2.4s)

IterNodesCost
020428150
158022806
2360722002
done500121762

prune512.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes135.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
016367
119367
done19367

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.2s8164×body80nan
832.0ms8000×body80valid