Details

Time bar (total: 7.8s)

sample33.0ms

Algorithm
intervals
Results
10.0ms238×body80nan
9.0ms256×body80valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01620
13220
29020
326820
463320
5119120
6147820
7149620
done149620

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* 3.0 PI) (- 1.0 (* 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))))))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
11×add-sqr-sqrt
10×associate-*r/
9×add-cube-cbrt *-un-lft-identity
8×associate-/r/
7×flip3-- flip--
6×sqrt-div prod-diff pow-prod-down
5×distribute-rgt-in distribute-lft-in associate-*r*
4×cbrt-undiv frac-times div-exp associate-*l*
3×expm1-log1p-u times-frac log1p-expm1-u associate-/l* add-log-exp
2×sub-neg associate-*l/ *-commutative
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
3 → 89
Calls
3 calls:
27.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
15.0ms
(* 6.0 (* v v))
65.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series565.0ms

Counts
3 → 9
Calls
3 calls:
109.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
26.0ms
(* 6.0 (* v v))
429.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify1.2s

Counts
98 → 98
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02551943
17171814
229391556
done50001547

prune209.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
0.2b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
1.0b
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

rewrite195.0ms

Algorithm
rewrite-expression-head
Rules
40×associate-*r/ associate-/r/
38×add-exp-log add-cbrt-cube
36×cbrt-prod
30×unpow-prod-down flip3-- sqrt-div cube-prod flip--
20×frac-times
18×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
15×times-frac prod-exp cbrt-unprod
10×pow1 associate-*l/
8×cbrt-undiv div-exp
5×pow-exp div-inv rem-cube-cbrt
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow associate-*l* pow-prod-down associate-/l*
2×cube-div cube-mult unpow3 sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 associate-*r* clear-num associate-/r* *-commutative rem-cbrt-cube unswap-sqr
Counts
4 → 162
Calls
4 calls:
28.0ms
(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
16.0ms
(* 6.0 (* v v))
63.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
80.0ms
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

series1.7s

Counts
4 → 12
Calls
4 calls:
355.0ms
(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
26.0ms
(* 6.0 (* v v))
431.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
923.0ms
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

simplify500.0ms

Counts
174 → 174
Iterations

Useful iterations: done (493.0ms)

IterNodesCost
04005925
111635113
done50014664

prune474.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01923
12323
done2323

end0.0ms

sample798.0ms

Algorithm
intervals
Results
292.0ms8000×body80valid
267.0ms7918×body80nan