Details

Time bar (total: 21.2s)

sample45.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
13.0ms278×body80nan

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
016367
132367
285367
3213367
4542367
51135367
61456367
71474367
81478367
done1478367

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 2.0 (* 6.0 (* v v)))
0.0b
(* (* 3.0 PI) (- 1.0 (* v v)))
0.1b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
28×add-cbrt-cube add-exp-log
14×pow1
12×prod-exp cbrt-unprod
10×add-sqr-sqrt associate-*r/
8×*-un-lft-identity flip3-- associate-/r/ add-cube-cbrt flip--
6×sqrt-div pow-prod-down add-log-exp
5×associate-*r*
4×frac-times cbrt-undiv div-exp associate-*l*
3×sub-neg times-frac associate-/l*
2×distribute-rgt-in distribute-lft-in associate-*l/ *-commutative
1×clear-num associate-/r* frac-2neg diff-log div-inv difference-of-squares unswap-sqr
Counts
4 → 89
Calls
4 calls:
9.0ms
(- 2.0 (* 6.0 (* v v)))
41.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
23.0ms
(* 6.0 (* v v))
59.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series932.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(- 2.0 (* 6.0 (* v v)))
163.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
35.0ms
(* 6.0 (* v v))
657.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify3.1s

Counts
101 → 101
Iterations

Useful iterations: 2 (1.4s)

IterNodesCost
025037997
174732015
2299630071
done503630071

prune549.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* 3.0 PI) (- 1.0 (* v v)))
0.1b
(* 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)))))

rewrite269.0ms

Algorithm
rewrite-expression-head
Rules
90×add-exp-log
48×add-cbrt-cube
46×add-sqr-sqrt
44×prod-exp
41×times-frac
36×*-un-lft-identity add-cube-cbrt
29×associate-*r*
23×div-exp
22×sqrt-prod
20×cbrt-unprod
16×pow1
13×associate-*l*
11×cbrt-undiv
7×pow-prod-down
6×rec-exp associate-/r* 1-exp associate-/r/
5×associate-*r/
4×flip3-- sqrt-div flip-- add-log-exp unswap-sqr
3×*-commutative div-inv associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×frac-times clear-num frac-2neg associate-*l/ difference-of-squares
Counts
4 → 161
Calls
4 calls:
22.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
21.0ms
(* 6.0 (* v v))
211.0ms
(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))
9.0ms
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))

series1.0s

Counts
4 → 12
Calls
4 calls:
164.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
39.0ms
(* 6.0 (* v v))
587.0ms
(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))
248.0ms
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))

simplify3.9s

Counts
173 → 173
Iterations

Useful iterations: done (3.9s)

IterNodesCost
036677449
1105667247
2428462140
done500261740

prune685.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* v v) (* v v))
0.1b
(* (* v v) (* v v))
0.1b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (sqrt (- 2.0 (* 6.0 (* v v)))) (* (- (* 1.0 (* 1.0 1.0)) (* (* (* v v) (* v v)) (* v v))) (* PI 3.0))))

rewrite656.0ms

Algorithm
rewrite-expression-head
Rules
231×pow1
72×pow-prod-up
49×pow-prod-down
47×add-cbrt-cube add-exp-log
44×pow-sqr
36×pow-plus
26×pow2
25×prod-exp cbrt-unprod
8×add-sqr-sqrt associate-*l/ associate-/r/
7×*-un-lft-identity add-cube-cbrt
6×flip3-- sqrt-div flip--
5×associate-*l*
4×frac-times cbrt-undiv div-exp add-log-exp
3×times-frac associate-*r* *-commutative associate-/l* unswap-sqr
2×swap-sqr associate-*r/
1×clear-num associate-/r* frac-2neg div-inv
Counts
4 → 178
Calls
4 calls:
48.0ms
(* (* v v) (* v v))
26.0ms
(* (* v v) (* v v))
14.0ms
(* 6.0 (* v v))
555.0ms
(/ 4.0 (* (sqrt (- 2.0 (* 6.0 (* v v)))) (* (- (* 1.0 (* 1.0 1.0)) (* (* (* v v) (* v v)) (* v v))) (* PI 3.0))))

series560.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (* v v) (* v v))
34.0ms
(* (* v v) (* v v))
31.0ms
(* 6.0 (* v v))
448.0ms
(/ 4.0 (* (sqrt (- 2.0 (* 6.0 (* v v)))) (* (- (* 1.0 (* 1.0 1.0)) (* (* (* v v) (* v v)) (* v v))) (* PI 3.0))))

simplify3.1s

Counts
190 → 190
Iterations

Useful iterations: 2 (1.4s)

IterNodesCost
022744118
168534679
2265732527
done500932527

prune661.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes92.0ms

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 (2.0ms)

IterNodesCost
018408
124408
done24408

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.1s8017×body80nan
786.0ms8000×body80valid