Details

Time bar (total: 16.3s)

sample56.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
14.0ms230×body80nan

simplify4.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01620
13220
29020
327120
478120
5186720
6383420
done500020

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 2.0 (* 6.0 (* 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))))))

rewrite208.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
19×pow1
16×associate-*r/
15×prod-exp cbrt-unprod
14×sqrt-div
13×flip3-- flip--
12×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
9×pow-prod-down
8×frac-times associate-/r/
7×associate-*r*
6×sqrt-prod
4×cbrt-undiv expm1-log1p-u div-exp associate-*l* associate-*l/ log1p-expm1-u add-log-exp
3×times-frac associate-/l*
2×*-commutative
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/r* div-inv unswap-sqr
Counts
4 → 107
Calls
4 calls:
15.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
90.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
20.0ms
(* 6.0 (* v v))
76.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
104.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
334.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
39.0ms
(* 6.0 (* v v))
609.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify516.0ms

Counts
119 → 119
Iterations

Useful iterations: done (510.0ms)

IterNodesCost
03122849
19382618
done50012289

prune408.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (* (* 3.0 PI) (- 1.0 (* v v))))
0.2b
(* 6.0 (* v v))
1.0b
(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))
1.0b
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))

rewrite307.0ms

Algorithm
rewrite-expression-head
Rules
106×add-exp-log
52×add-cbrt-cube
50×prod-exp
46×add-sqr-sqrt
44×times-frac
37×add-cube-cbrt *-un-lft-identity
29×div-exp
25×associate-*r*
22×sqrt-prod
20×cbrt-unprod
17×pow1
14×cbrt-undiv
12×associate-*l*
9×rec-exp 1-exp
8×associate-/r/
7×pow-prod-down associate-/r*
6×associate-/l*
5×associate-*r/
4×expm1-log1p-u flip3-- sqrt-div flip-- log1p-expm1-u div-inv add-log-exp unswap-sqr
3×pow-flip
2×frac-2neg clear-num *-commutative
1×frac-times associate-*l/ inv-pow
Counts
4 → 179
Calls
4 calls:
49.0ms
(/ 1 (* (* 3.0 PI) (- 1.0 (* v v))))
23.0ms
(* 6.0 (* v v))
217.0ms
(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))
12.0ms
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))

series1.0s

Counts
4 → 12
Calls
4 calls:
145.0ms
(/ 1 (* (* 3.0 PI) (- 1.0 (* v v))))
44.0ms
(* 6.0 (* v v))
622.0ms
(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))
222.0ms
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))

simplify723.0ms

Counts
191 → 191
Iterations

Useful iterations: done (715.0ms)

IterNodesCost
03844226
111653881
done50013291

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 6.0 (* v v))
1.0b
(/ 4.0 (cbrt (* (* (pow (* 3.0 PI) 3) (pow (- 1.0 (* v v)) 3)) (pow (sqrt (- 2.0 (* 6.0 (* v v)))) 3))))
1.0b
(pow (sqrt (- 2.0 (* 6.0 (* v v)))) 3)
1.0b
(pow (* 3.0 PI) 3)

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
15×add-exp-log
14×pow1 cube-div add-cbrt-cube
12×times-frac
8×cbrt-div sqrt-div associate-*r/ associate-/r/
7×unpow-prod-down flip3-- cube-prod flip--
6×pow-unpow sqrt-prod
5×pow-pow
4×cbrt-prod expm1-log1p-u frac-times pow-prod-down prod-exp associate-/r* cbrt-unprod log1p-expm1-u add-log-exp
3×associate-*l* pow-exp associate-/l* rem-cube-cbrt
2×cube-mult pow-to-exp unpow3 associate-*l/ sqr-pow
1×cbrt-undiv frac-2neg sqrt-pow1 pow1/2 div-exp associate-*r* clear-num *-commutative sqrt-pow2 div-inv unswap-sqr
Counts
4 → 122
Calls
4 calls:
42.0ms
(* 6.0 (* v v))
46.0ms
(/ 4.0 (cbrt (* (* (pow (* 3.0 PI) 3) (pow (- 1.0 (* v v)) 3)) (pow (sqrt (- 2.0 (* 6.0 (* v v)))) 3))))
15.0ms
(pow (sqrt (- 2.0 (* 6.0 (* v v)))) 3)
12.0ms
(pow (* 3.0 PI) 3)

series901.0ms

Counts
4 → 10
Calls
4 calls:
32.0ms
(* 6.0 (* v v))
589.0ms
(/ 4.0 (cbrt (* (* (pow (* 3.0 PI) 3) (pow (- 1.0 (* v v)) 3)) (pow (sqrt (- 2.0 (* 6.0 (* v v)))) 3))))
279.0ms
(pow (sqrt (- 2.0 (* 6.0 (* v v)))) 3)
0.0ms
(pow (* 3.0 PI) 3)

simplify2.5s

Counts
132 → 132
Iterations

Useful iterations: done (2.5s)

IterNodesCost
03082818
19182605
244872461
done50002460

prune613.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01822
12422
done2422

end0.0ms

sample2.1s

Algorithm
intervals
Results
839.0ms8000×body80valid
794.0ms8054×body80nan