Details

Time bar (total: 16.3s)

sample85.0ms

Algorithm
intervals
Results
34.0ms281×body80nan
24.0ms256×body80valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01620
13220
29020
325620
458120
5104120
6122020
done122020

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize16.0ms

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))))))

rewrite356.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
23×pow1
18×associate-*r/ prod-exp cbrt-unprod
13×flip3-- flip--
12×add-sqr-sqrt sqrt-div pow-prod-down
11×associate-*r*
10×add-cube-cbrt *-un-lft-identity
8×frac-times associate-/r/
5×associate-*l*
4×cbrt-undiv div-exp associate-*l/ add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 109
Calls
4 calls:
48.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
135.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
34.0ms
(* 6.0 (* v v))
129.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
156.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
375.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
34.0ms
(* 6.0 (* v v))
648.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify2.2s

Counts
121 → 121
Iterations

Useful iterations: 2 (847.0ms)

IterNodesCost
03072810
18642584
236182224
done50002224

prune427.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* 3.0 PI) (- (* 1.0 1.0) (pow v 4)))
0.0b
(* (/ (/ 4.0 (* (* 3.0 PI) (- (* 1.0 1.0) (pow v 4)))) (sqrt (- 2.0 (* 6.0 (* v v))))) (+ 1.0 (* v v)))
0.0b
(/ (/ 4.0 (* (* 3.0 PI) (- (* 1.0 1.0) (pow v 4)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.2b
(* 6.0 (* v v))

rewrite481.0ms

Algorithm
rewrite-expression-head
Rules
149×times-frac
83×add-sqr-sqrt
72×add-cube-cbrt *-un-lft-identity
64×associate-*l*
58×sqrt-prod
48×add-exp-log add-cbrt-cube
30×associate-*r/ associate-/r/
17×prod-exp cbrt-unprod
16×pow1 flip3-- flip--
15×div-inv
14×cbrt-undiv div-exp
10×associate-*r*
9×associate-/l*
7×pow-prod-down
6×associate-/r*
4×sqrt-div add-log-exp unswap-sqr
3×distribute-rgt-in distribute-lft-in *-commutative difference-of-squares
2×frac-times sub-neg flip3-+ flip-+
1×unpow-prod-down frac-2neg associate-*l/ clear-num associate-/l/ sqr-pow
Counts
4 → 228
Calls
4 calls:
73.0ms
(* (* 3.0 PI) (- (* 1.0 1.0) (pow v 4)))
228.0ms
(* (/ (/ 4.0 (* (* 3.0 PI) (- (* 1.0 1.0) (pow v 4)))) (sqrt (- 2.0 (* 6.0 (* v v))))) (+ 1.0 (* v v)))
127.0ms
(/ (/ 4.0 (* (* 3.0 PI) (- (* 1.0 1.0) (pow v 4)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
29.0ms
(* 6.0 (* v v))

series1.5s

Counts
4 → 12
Calls
4 calls:
231.0ms
(* (* 3.0 PI) (- (* 1.0 1.0) (pow v 4)))
678.0ms
(* (/ (/ 4.0 (* (* 3.0 PI) (- (* 1.0 1.0) (pow v 4)))) (sqrt (- 2.0 (* 6.0 (* v v))))) (+ 1.0 (* v v)))
539.0ms
(/ (/ 4.0 (* (* 3.0 PI) (- (* 1.0 1.0) (pow v 4)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
46.0ms
(* 6.0 (* v v))

simplify947.0ms

Counts
240 → 240
Iterations

Useful iterations: done (935.0ms)

IterNodesCost
04567591
115207156
done50006560

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* 6.0 6.0) (pow v 4))
0.1b
(* (* v v) (* v v))
0.2b
(* 6.0 (* v v))
1.0b
(* (/ 4.0 (* (* (sqrt (- (* 2.0 2.0) (* (* 6.0 6.0) (pow v 4)))) (* 3.0 PI)) (- (pow 1.0 3) (pow v 6)))) (* (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v)))) (sqrt (+ 2.0 (* 6.0 (* v v))))))

rewrite874.0ms

Algorithm
rewrite-expression-head
Rules
125×pow1
79×add-exp-log
71×add-cbrt-cube
47×prod-exp
41×cbrt-unprod
36×pow-prod-up
29×pow-prod-down
22×pow-sqr
20×frac-times associate-*l*
18×pow-plus sqrt-div
14×associate-*r/
13×pow2 associate-*l/
12×add-sqr-sqrt flip3-+ flip-+
10×associate-*r*
9×add-cube-cbrt *-un-lft-identity
8×cbrt-undiv div-exp associate-/r/
6×flip3-- flip--
5×unswap-sqr
4×unpow-prod-down *-commutative add-log-exp
3×times-frac
2×pow-to-exp pow-exp sqr-pow
1×swap-sqr div-inv
Counts
4 → 172
Calls
4 calls:
33.0ms
(* (* 6.0 6.0) (pow v 4))
35.0ms
(* (* v v) (* v v))
17.0ms
(* 6.0 (* v v))
780.0ms
(* (/ 4.0 (* (* (sqrt (- (* 2.0 2.0) (* (* 6.0 6.0) (pow v 4)))) (* 3.0 PI)) (- (pow 1.0 3) (pow v 6)))) (* (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v)))) (sqrt (+ 2.0 (* 6.0 (* v v))))))

series808.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* (* 6.0 6.0) (pow v 4))
59.0ms
(* (* v v) (* v v))
48.0ms
(* 6.0 (* v v))
629.0ms
(* (/ 4.0 (* (* (sqrt (- (* 2.0 2.0) (* (* 6.0 6.0) (pow v 4)))) (* 3.0 PI)) (- (pow 1.0 3) (pow v 6)))) (* (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v)))) (sqrt (+ 2.0 (* 6.0 (* v v))))))

simplify865.0ms

Counts
184 → 184
Iterations

Useful iterations: done (857.0ms)

IterNodesCost
03886170
111644977
done50004023

prune961.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02128
12628
done2628

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.2s7943×body80nan
789.0ms8000×body80valid