Details

Time bar (total: 14.3s)

sample57.0ms

Algorithm
intervals
Results
19.0ms256×body80valid
17.0ms251×body80nan

simplify4.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
016367
132367
290367
3271367
4764367
51812367
63736367
done5001367

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize48.0ms

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))))))

rewrite228.0ms

Algorithm
rewrite-expression-head
Rules
37×add-cbrt-cube add-exp-log
23×pow1
18×prod-exp associate-*r/ cbrt-unprod
14×add-sqr-sqrt
13×flip3-- flip--
12×*-un-lft-identity sqrt-div pow-prod-down add-cube-cbrt
11×associate-*r*
8×frac-times associate-/r/
6×prod-diff
5×distribute-rgt-in distribute-lft-in associate-*l*
4×expm1-log1p-u cbrt-undiv div-exp associate-*l/ log1p-expm1-u add-log-exp
3×times-frac *-commutative sqrt-prod associate-/l*
2×sub-neg
1×clear-num associate-/r* frac-2neg div-inv difference-of-squares unswap-sqr
Counts
4 → 123
Calls
4 calls:
38.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
86.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
26.0ms
(* 6.0 (* v v))
72.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
147.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
340.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
29.0ms
(* 6.0 (* v v))
597.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify1.5s

Counts
135 → 135
Iterations

Useful iterations: done (1.5s)

IterNodesCost
033259940
1100750525
done500049241

prune647.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize52.0ms

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))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
23×add-cbrt-cube add-exp-log
15×pow1
14×add-sqr-sqrt
11×*-un-lft-identity add-cube-cbrt
9×prod-exp cbrt-unprod
6×prod-diff pow-prod-down
5×distribute-rgt-in distribute-lft-in associate-*r*
4×expm1-log1p-u associate-*l* associate-*r/ log1p-expm1-u add-log-exp
3×cbrt-undiv times-frac flip3-- div-exp sqrt-prod flip-- associate-/l*
2×sub-neg 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 → 98
Calls
4 calls:
31.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
6.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
21.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
24.0ms
(* 6.0 (* v v))

series475.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
120.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
193.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
30.0ms
(* 6.0 (* v v))

simplify2.2s

Counts
110 → 110
Iterations

Useful iterations: done (2.2s)

IterNodesCost
022732962
164427403
2400726306
done500126208

prune539.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes179.0ms

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 (3.0ms)

IterNodesCost
016367
119367
done19367

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.3s8164×body80nan
840.0ms8000×body80valid