Details

Time bar (total: 18.3s)

sample48.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
13.0ms250×body80nan

simplify6.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01620
13220
29020
325920
473020
5177420
6305420
7394620
8493820
done500020

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize15.0ms

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))))))

rewrite329.0ms

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:
37.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
145.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
33.0ms
(* 6.0 (* v v))
106.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
179.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
417.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
37.0ms
(* 6.0 (* v v))
665.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify636.0ms

Counts
121 → 121
Iterations

Useful iterations: done (630.0ms)

IterNodesCost
03072810
19332618
done50002274

prune546.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize85.0ms

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))
0.2b
(* 6.0 (* v v))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1 add-exp-log add-cbrt-cube
12×add-sqr-sqrt associate-*l* pow-prod-down prod-exp cbrt-unprod
8×add-cube-cbrt *-un-lft-identity
4×associate-*r* *-commutative add-log-exp unswap-sqr
Counts
4 → 76
Calls
4 calls:
27.0ms
(* 6.0 (* v v))
35.0ms
(* 6.0 (* v v))
17.0ms
(* 6.0 (* v v))
25.0ms
(* 6.0 (* v v))

series136.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* 6.0 (* v v))
42.0ms
(* 6.0 (* v v))
29.0ms
(* 6.0 (* v v))
37.0ms
(* 6.0 (* v v))

simplify728.0ms

Counts
88 → 88
Iterations

Useful iterations: done (726.0ms)

IterNodesCost
034648
195636
2550532
done5000516

prune484.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
16×pow1
14×add-sqr-sqrt
10×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in associate-*r/ prod-exp cbrt-unprod
9×associate-*l*
7×pow-prod-down
6×sub-neg associate-*r*
4×add-log-exp
3×cbrt-undiv flip3-- times-frac div-exp *-commutative flip-- associate-/l*
2×associate-/r/ unswap-sqr
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares
Counts
4 → 97
Calls
4 calls:
29.0ms
(* 3.0 (* PI (- 1.0 (* v v))))
23.0ms
(/ 4.0 (* 3.0 (* PI (- 1.0 (* v v)))))
23.0ms
(* PI (- 1.0 (* v v)))
17.0ms
(* 6.0 (* v v))

series440.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(* 3.0 (* PI (- 1.0 (* v v))))
154.0ms
(/ 4.0 (* 3.0 (* PI (- 1.0 (* v v)))))
78.0ms
(* PI (- 1.0 (* v v)))
39.0ms
(* 6.0 (* v v))

simplify1.6s

Counts
109 → 109
Iterations

Useful iterations: 2 (492.0ms)

IterNodesCost
01761332
14821269
223861083
done50011083

prune401.0ms

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
(/ 4.0 (+ (* (* PI 1.0) 3.0) (- (* 3.0 (* (pow v 2) PI)))))
0.2b
(* 3.0 (* (pow v 2) PI))
0.2b
(* (pow v 2) PI)
0.2b
(* 6.0 (* v v))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
24×add-sqr-sqrt
18×add-cbrt-cube
17×add-cube-cbrt *-un-lft-identity
14×associate-*l*
13×prod-exp
11×pow1
9×times-frac
7×cbrt-unprod
5×associate-*r* unswap-sqr
4×unpow-prod-down pow-prod-down add-log-exp
3×associate-/r* *-commutative associate-/l*
2×pow-to-exp pow-exp associate-/r/ unpow2 sqr-pow
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
Counts
4 → 94
Calls
4 calls:
45.0ms
(/ 4.0 (+ (* (* PI 1.0) 3.0) (- (* 3.0 (* (pow v 2) PI)))))
27.0ms
(* 3.0 (* (pow v 2) PI))
20.0ms
(* (pow v 2) PI)
31.0ms
(* 6.0 (* v v))

series263.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(/ 4.0 (+ (* (* PI 1.0) 3.0) (- (* 3.0 (* (pow v 2) PI)))))
48.0ms
(* 3.0 (* (pow v 2) PI))
30.0ms
(* (pow v 2) PI)
33.0ms
(* 6.0 (* v v))

simplify1.9s

Counts
106 → 106
Iterations

Useful iterations: 2 (470.0ms)

IterNodesCost
01851464
14681349
221391123
done50001123

prune487.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02125
13125
23925
done3925

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.2s8000×body80valid
843.0ms7931×body80nan