Details

Time bar (total: 15.8s)

sample160.0ms

Algorithm
intervals
Results
59.0ms84×body2560valid
41.0ms87×body1280valid
17.0ms48×body640valid
15.0ms230×body80nan
4.0ms16×body320valid
2.0ms12×body160valid
1.0ms9×body80valid

simplify741.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
11914
24214
37714
414614
523314
690114
done500014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize15.0ms

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))
0.8b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
12×times-frac
10×add-exp-log add-cbrt-cube
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×cbrt-undiv acos-asin frac-2neg div-sub div-exp associate-*r* clear-num *-commutative div-inv unswap-sqr
Counts
3 → 63
Calls
3 calls:
48.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
35.0ms
(* 5.0 (* v v))
2.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series183.0ms

Counts
3 → 9
Calls
3 calls:
139.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
38.0ms
(* 5.0 (* v v))
5.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify1.5s

Counts
72 → 72
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01391198
13661162
219891056
done50001052

prune213.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.8b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 4) (* 1.0 1.0))) (+ (* v v) 1.0))
0.2b
(* 5.0 (* v v))
0.8b
(acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 4) (* 1.0 1.0))) (+ (* v v) 1.0)))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt associate-*l*
19×times-frac
15×add-cube-cbrt *-un-lft-identity
13×add-exp-log add-cbrt-cube
10×pow1
9×difference-of-squares
5×prod-exp cbrt-unprod
4×associate-*r* pow-prod-down
3×unpow-prod-down add-log-exp unswap-sqr sqr-pow
2×frac-times flip3-+ associate-*r/ associate-/r/ *-commutative flip-+
1×cbrt-undiv distribute-rgt-in acos-asin flip3-- distribute-lft-in div-exp associate-*l/ flip-- div-inv
Counts
3 → 76
Calls
3 calls:
98.0ms
(* (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 4) (* 1.0 1.0))) (+ (* v v) 1.0))
17.0ms
(* 5.0 (* v v))
2.0ms
(acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 4) (* 1.0 1.0))) (+ (* v v) 1.0)))

series216.0ms

Counts
3 → 9
Calls
3 calls:
164.0ms
(* (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 4) (* 1.0 1.0))) (+ (* v v) 1.0))
39.0ms
(* 5.0 (* v v))
13.0ms
(acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 4) (* 1.0 1.0))) (+ (* v v) 1.0)))

simplify2.7s

Counts
85 → 85
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01861829
16841783
244221577
done50001574

prune365.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.8b

localize14.0ms

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))
0.8b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
12×times-frac
11×add-exp-log add-cbrt-cube
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×cbrt-undiv acos-asin frac-2neg div-sub div-exp associate-*r* clear-num log-pow *-commutative div-inv rem-exp-log unswap-sqr
Counts
4 → 78
Calls
4 calls:
37.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
6.0ms
(exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
25.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series157.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
8.0ms
(exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
40.0ms
(* 5.0 (* v v))
5.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify1.5s

Counts
90 → 90
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01611568
14001498
220221328
done50011324

prune343.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.8b

localize19.0ms

Local error

Found 4 expressions with local error:

0.8b
(acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 4) (* 1.0 1.0))) (+ (* v v) 1.0)))
1.0b
(sqrt (acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 4) (* 1.0 1.0))) (+ (* v v) 1.0))))
1.0b
(sqrt (acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 4) (* 1.0 1.0))) (+ (* v v) 1.0))))
1.0b
(* (sqrt (acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 4) (* 1.0 1.0))) (+ (* v v) 1.0)))) (sqrt (acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 4) (* 1.0 1.0))) (+ (* v v) 1.0)))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square
1×pow2 acos-asin pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 83
Calls
4 calls:
4.0ms
(acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 4) (* 1.0 1.0))) (+ (* v v) 1.0)))
2.0ms
(sqrt (acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 4) (* 1.0 1.0))) (+ (* v v) 1.0))))
2.0ms
(sqrt (acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 4) (* 1.0 1.0))) (+ (* v v) 1.0))))
19.0ms
(* (sqrt (acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 4) (* 1.0 1.0))) (+ (* v v) 1.0)))) (sqrt (acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 4) (* 1.0 1.0))) (+ (* v v) 1.0)))))

series79.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 4) (* 1.0 1.0))) (+ (* v v) 1.0)))
31.0ms
(sqrt (acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 4) (* 1.0 1.0))) (+ (* v v) 1.0))))
26.0ms
(sqrt (acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 4) (* 1.0 1.0))) (+ (* v v) 1.0))))
10.0ms
(* (sqrt (acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 4) (* 1.0 1.0))) (+ (* v v) 1.0)))) (sqrt (acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (pow v 4) (* 1.0 1.0))) (+ (* v v) 1.0)))))

simplify1.1s

Counts
95 → 95
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0783926
11772816
28092481
done50002364

prune335.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.8b

regimes150.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01116
11216
done1216

end0.0ms

sample5.7s

Algorithm
intervals
Results
2.0s2993×body2560valid
1.7s2517×body1280valid
747.0ms1213×body640valid
662.0ms8054×body80nan
170.0ms660×body320valid
59.0ms406×body160valid
17.0ms211×body80valid