Details

Time bar (total: 14.1s)

sample172.0ms

Algorithm
intervals
Results
59.0ms92×body2560valid
35.0ms79×body1280valid
33.0ms248×body80nan
17.0ms51×body640valid
4.0ms15×body320valid
2.0ms11×body160valid
1.0ms8×body80valid

simplify492.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
11914
24214
37714
414614
523514
690614
done500014

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.2b
(* 5.0 (* v v))
0.5b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity add-cube-cbrt
12×times-frac
10×add-cbrt-cube add-exp-log
8×pow1
4×associate-/r* difference-of-squares
3×associate-*l* pow-prod-down prod-exp cbrt-unprod associate-/l* add-log-exp
2×flip3-- associate-/r/ flip-- associate-/l/
1×acos-asin cbrt-undiv clear-num frac-2neg div-sub div-exp associate-*r* *-commutative div-inv unswap-sqr
Counts
3 → 63
Calls
3 calls:
25.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
22.0ms
(* 5.0 (* v v))
2.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series162.0ms

Counts
3 → 9
Calls
3 calls:
126.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
30.0ms
(* 5.0 (* v v))
6.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify1.2s

Counts
72 → 72
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01391198
13661162
219871056
done50011052

prune385.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 4) (* 1.0 1.0))) (+ (* v v) 1.0))
0.0b
(/ (- 1.0 (* 5.0 (* v v))) (- (pow v 4) (* 1.0 1.0)))
0.2b
(* 5.0 (* v v))
0.5b
(acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 4) (* 1.0 1.0))) (+ (* v v) 1.0)))

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
37×times-frac
27×*-un-lft-identity associate-*l* add-cube-cbrt
21×difference-of-squares
16×add-cbrt-cube add-exp-log
11×pow1
7×unpow-prod-down sqr-pow
6×associate-/r*
5×prod-exp cbrt-unprod
4×associate-*r* pow-prod-down associate-/r/ add-log-exp
3×flip3-- flip-- associate-/l* unswap-sqr
2×frac-times cbrt-undiv flip3-+ div-exp associate-*r/ *-commutative flip-+ div-inv associate-/l/
1×distribute-rgt-in acos-asin clear-num frac-2neg distribute-lft-in div-sub associate-*l/
Counts
4 → 120
Calls
4 calls:
123.0ms
(* (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 4) (* 1.0 1.0))) (+ (* v v) 1.0))
42.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (pow v 4) (* 1.0 1.0)))
26.0ms
(* 5.0 (* v v))
4.0ms
(acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 4) (* 1.0 1.0))) (+ (* v v) 1.0)))

series339.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(* (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 4) (* 1.0 1.0))) (+ (* v v) 1.0))
126.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (pow v 4) (* 1.0 1.0)))
48.0ms
(* 5.0 (* v v))
13.0ms
(acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 4) (* 1.0 1.0))) (+ (* v v) 1.0)))

simplify532.0ms

Counts
132 → 132
Iterations

Useful iterations: done (524.0ms)

IterNodesCost
02452993
18512904
done50002638

prune899.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- (pow v 4) (* 1.0 1.0)) (- (* v v) 1.0))
0.0b
(/ (* (- (pow v 4) (* 1.0 1.0)) (- 1.0 (* 5.0 (pow v 2)))) (* (- (pow v 4) (* 1.0 1.0)) (- (* v v) 1.0)))
0.2b
(* 5.0 (pow v 2))
0.5b
(acos (/ (* (- (pow v 4) (* 1.0 1.0)) (- 1.0 (* 5.0 (pow v 2)))) (* (- (pow v 4) (* 1.0 1.0)) (- (* v v) 1.0))))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
20×add-sqr-sqrt add-cbrt-cube
18×flip3-- flip--
12×frac-times associate-*r*
9×*-un-lft-identity associate-*l* add-cube-cbrt
8×prod-exp associate-/r/ associate-/l/
6×pow1 associate-*l/ associate-*r/ cbrt-unprod
5×unpow-prod-down unswap-sqr
4×cbrt-undiv div-exp add-log-exp difference-of-squares
3×sqr-pow
2×distribute-rgt-in sub-neg distribute-lft-in *-commutative unpow2
1×acos-asin pow-to-exp clear-num associate-/r* frac-2neg times-frac pow-prod-down pow-exp div-inv associate-/l*
Counts
4 → 106
Calls
4 calls:
70.0ms
(* (- (pow v 4) (* 1.0 1.0)) (- (* v v) 1.0))
94.0ms
(/ (* (- (pow v 4) (* 1.0 1.0)) (- 1.0 (* 5.0 (pow v 2)))) (* (- (pow v 4) (* 1.0 1.0)) (- (* v v) 1.0)))
14.0ms
(* 5.0 (pow v 2))
3.0ms
(acos (/ (* (- (pow v 4) (* 1.0 1.0)) (- 1.0 (* 5.0 (pow v 2)))) (* (- (pow v 4) (* 1.0 1.0)) (- (* v v) 1.0))))

series297.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(* (- (pow v 4) (* 1.0 1.0)) (- (* v v) 1.0))
125.0ms
(/ (* (- (pow v 4) (* 1.0 1.0)) (- 1.0 (* 5.0 (pow v 2)))) (* (- (pow v 4) (* 1.0 1.0)) (- (* v v) 1.0)))
49.0ms
(* 5.0 (pow v 2))
11.0ms
(acos (/ (* (- (pow v 4) (* 1.0 1.0)) (- 1.0 (* 5.0 (pow v 2)))) (* (- (pow v 4) (* 1.0 1.0)) (- (* v v) 1.0))))

simplify865.0ms

Counts
118 → 118
Iterations

Useful iterations: done (858.0ms)

IterNodesCost
02262968
17132358
done50001856

prune716.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.0b
(exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
0.2b
(* 5.0 (* v v))
0.5b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity add-cube-cbrt
12×times-frac
11×add-cbrt-cube add-exp-log
10×pow1
4×exp-prod associate-/r* add-log-exp difference-of-squares
3×log-prod associate-*l* exp-sum pow-prod-down prod-exp cbrt-unprod associate-/l*
2×flip3-- associate-/r/ flip-- associate-/l/
1×acos-asin cbrt-undiv clear-num frac-2neg div-sub div-exp associate-*r* log-pow *-commutative div-inv unswap-sqr rem-exp-log
Counts
4 → 78
Calls
4 calls:
41.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
5.0ms
(exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
27.0ms
(* 5.0 (* v v))
2.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series196.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
5.0ms
(exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
50.0ms
(* 5.0 (* v v))
8.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify1.1s

Counts
90 → 90
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01611568
14001498
220301328
done50001324

prune435.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

regimes186.0ms

Accuracy

0% (0.0b remaining)

Error of 0.5b against oracle of 0.5b and baseline of 0.5b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01730
12030
done2030

end0.0ms

sample5.4s

Algorithm
intervals
Results
2.6s3033×body2560valid
1.0s2489×body1280valid
628.0ms7888×body80nan
435.0ms1254×body640valid
162.0ms586×body320valid
62.0ms413×body160valid
18.0ms225×body80valid