Details

Time bar (total: 13.8s)

sample175.0ms

Algorithm
intervals
Results
68.0ms89×body2560valid
41.0ms87×body1280valid
18.0ms267×body80nan
14.0ms38×body640valid
7.0ms26×body320valid
2.0ms11×body160valid
0.0ms5×body80valid

simplify625.0ms

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: 0.2b

localize9.0ms

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

rewrite56.0ms

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:
32.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
21.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series165.0ms

Counts
3 → 9
Calls
3 calls:
116.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
44.0ms
(* 5.0 (* v v))
5.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify1.4s

Counts
72 → 72
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01391198
13661162
219891056
done50001052

prune209.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

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

rewrite64.0ms

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:
39.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
3.0ms
(exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
18.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series163.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(/ (- 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)))))
28.0ms
(* 5.0 (* v v))
5.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify1.4s

Counts
90 → 90
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01611568
14001498
220221328
done50011324

prune323.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(* 5.0 (* v v))
0.2b
(* 5.0 (* v v))
0.2b
(acos (/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v))))))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1 add-exp-log add-cbrt-cube
10×add-sqr-sqrt
9×associate-*l* pow-prod-down prod-exp cbrt-unprod
7×add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×associate-*r* *-commutative unswap-sqr
1×acos-asin
Counts
4 → 65
Calls
4 calls:
30.0ms
(* 5.0 (* v v))
27.0ms
(* 5.0 (* v v))
23.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v))))))

series130.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* 5.0 (* v v))
33.0ms
(* 5.0 (* v v))
38.0ms
(* 5.0 (* v v))
8.0ms
(acos (/ (- (* 1.0 1.0) (* (* 5.0 (* v v)) (* 5.0 (* v v)))) (* (- (* v v) 1.0) (+ 1.0 (* 5.0 (* v v))))))

simplify677.0ms

Counts
77 → 77
Iterations

Useful iterations: done (675.0ms)

IterNodesCost
062895
1157806
2900712
done5000700

prune176.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
13.0ms
(* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
1.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

series839.0ms

Counts
4 → 12
Calls
4 calls:
239.0ms
(* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
204.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
175.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
221.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

simplify1.3s

Counts
85 → 85
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0612476
11372281
25791827
done50001765

prune188.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

regimes162.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01330
11630
done1630

end0.0ms

sample5.6s

Algorithm
intervals
Results
2.2s2983×body2560valid
1.7s2503×body1280valid
485.0ms7965×body80nan
430.0ms1255×body640valid
136.0ms649×body320valid
51.0ms384×body160valid
18.0ms226×body80valid