Details

Time bar (total: 17.5s)

sample48.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
14.0ms250×body80nan

simplify5.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01620
13220
29020
327120
478120
5186720
6383420
done500020

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize14.0ms

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))))))

rewrite342.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
23×pow1
18×associate-*r/ prod-exp cbrt-unprod
14×add-sqr-sqrt
13×flip3-- flip--
12×add-cube-cbrt *-un-lft-identity sqrt-div pow-prod-down
11×associate-*r*
8×frac-times associate-/r/
6×prod-diff
5×distribute-rgt-in distribute-lft-in associate-*l*
4×cbrt-undiv expm1-log1p-u div-exp associate-*l/ log1p-expm1-u add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×sub-neg
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 123
Calls
4 calls:
37.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
141.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
37.0ms
(* 6.0 (* v v))
123.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
142.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
451.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
49.0ms
(* 6.0 (* v v))
602.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify630.0ms

Counts
135 → 135
Iterations

Useful iterations: done (625.0ms)

IterNodesCost
03303068
110052854
done50002507

prune508.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize84.0ms

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))

rewrite147.0ms

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×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp unswap-sqr
Counts
4 → 84
Calls
4 calls:
39.0ms
(* 6.0 (* v v))
35.0ms
(* 6.0 (* v v))
35.0ms
(* 6.0 (* v v))
37.0ms
(* 6.0 (* v v))

series122.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* 6.0 (* v v))
32.0ms
(* 6.0 (* v v))
36.0ms
(* 6.0 (* v v))
27.0ms
(* 6.0 (* v v))

simplify731.0ms

Counts
96 → 96
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
036696
199684
2559564
done5001564

prune576.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
13×pow1
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
6×prod-diff pow-prod-down
5×distribute-rgt-in distribute-lft-in associate-*r*
4×associate-*r/ associate-*l*
3×cbrt-undiv expm1-log1p-u times-frac div-exp log1p-expm1-u associate-/l* add-log-exp
2×sub-neg flip3-- associate-/r/ *-commutative flip--
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
3 → 81
Calls
3 calls:
45.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
44.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
28.0ms
(* 6.0 (* v v))

series373.0ms

Counts
3 → 9
Calls
3 calls:
149.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
183.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
41.0ms
(* 6.0 (* v v))

simplify2.0s

Counts
90 → 90
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01731220
15061167
23269993
done5000973

prune333.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 4.0 (+ (* (* 3.0 PI) 1.0) (- (* 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))

rewrite176.0ms

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×expm1-log1p-u unpow-prod-down pow-prod-down log1p-expm1-u 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 → 102
Calls
4 calls:
59.0ms
(/ 4.0 (+ (* (* 3.0 PI) 1.0) (- (* 3.0 (* (pow v 2) PI)))))
40.0ms
(* 3.0 (* (pow v 2) PI))
27.0ms
(* (pow v 2) PI)
47.0ms
(* 6.0 (* v v))

series276.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(/ 4.0 (+ (* (* 3.0 PI) 1.0) (- (* 3.0 (* (pow v 2) PI)))))
63.0ms
(* 3.0 (* (pow v 2) PI))
34.0ms
(* (pow v 2) PI)
39.0ms
(* 6.0 (* v v))

simplify1.6s

Counts
114 → 114
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01931538
14861418
221691192
done50001189

prune515.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes29.0ms

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
02125
13125
23925
done3925

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.2s8000×body80valid
792.0ms7931×body80nan