Details

Time bar (total: 14.7s)

sample139.0ms

Algorithm
intervals
Results
61.0ms103×body2560valid
26.0ms70×body1280valid
13.0ms243×body80nan
10.0ms35×body640valid
5.0ms25×body320valid
2.0ms12×body160valid
1.0ms11×body80valid

simplify748.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
12014
24314
38414
415514
525214
693414
done500014

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.1b
(* 5.0 (* v v))
0.8b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite73.0ms

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×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u 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 → 69
Calls
3 calls:
50.0ms
(/ (- 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)))

series180.0ms

Counts
3 → 9
Calls
3 calls:
119.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
47.0ms
(* 5.0 (* v v))
14.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify1.7s

Counts
78 → 78
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01451268
13681227
218131122
done50011118

prune287.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.8b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.0b
(- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.1b
(* 5.0 (* v v))
0.8b
(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
65×add-sqr-sqrt
57×*-un-lft-identity
55×add-cube-cbrt
49×times-frac
39×prod-diff
13×fma-neg
11×add-exp-log add-cbrt-cube
9×pow1
6×add-log-exp difference-of-squares
5×div-inv
4×expm1-log1p-u associate-/r* log1p-expm1-u
3×flip3-- associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod associate-/l*
2×asin-acos associate-/r/ associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp associate-*r* clear-num *-commutative distribute-lft-out-- associate--r- unswap-sqr
Counts
4 → 139
Calls
4 calls:
50.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
48.0ms
(- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
24.0ms
(* 5.0 (* v v))
1.0ms
(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series217.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
36.0ms
(- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
49.0ms
(* 5.0 (* v v))
8.0ms
(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify1.9s

Counts
151 → 151
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02506193
15994205
225393399
done50013331

prune539.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.8b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(expm1 (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.0b
(log1p (expm1 (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
0.1b
(* 5.0 (* v v))
0.8b
(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
6×add-sqr-sqrt
5×add-cube-cbrt *-un-lft-identity log1p-expm1-u
4×expm1-log1p-u add-log-exp
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
1×asin-acos log1p-udef expm1-log1p log1p-expm1 associate-*r* *-commutative expm1-udef unswap-sqr
Counts
4 → 53
Calls
4 calls:
0.0ms
(expm1 (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.0ms
(log1p (expm1 (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
18.0ms
(* 5.0 (* v v))
1.0ms
(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series296.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(expm1 (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
197.0ms
(log1p (expm1 (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
34.0ms
(* 5.0 (* v v))
5.0ms
(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify857.0ms

Counts
65 → 65
Iterations

Useful iterations: done (855.0ms)

IterNodesCost
079934
1166899
2643783
done5000781

prune222.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.8b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
0.0b
(exp (log (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))
0.1b
(* 5.0 (* v v))
0.8b
(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
12×log-prod *-un-lft-identity
11×pow1
10×add-exp-log
9×add-cbrt-cube
8×add-cube-cbrt
6×exp-sum
4×expm1-log1p-u log-div exp-prod log1p-expm1-u add-log-exp difference-of-squares
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×flip3-- times-frac exp-diff log-pow flip-- distribute-lft-out--
1×asin-acos rem-log-exp associate-*r* *-commutative rem-exp-log unswap-sqr
Counts
4 → 72
Calls
4 calls:
33.0ms
(log (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
37.0ms
(exp (log (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))
21.0ms
(* 5.0 (* v v))
1.0ms
(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series296.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(log (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
55.0ms
(exp (log (- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))
30.0ms
(* 5.0 (* v v))
9.0ms
(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify813.0ms

Counts
84 → 84
Iterations

Useful iterations: 2 (204.0ms)

IterNodesCost
01301848
12631723
29351569
done50001569

prune647.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.8b

regimes118.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01520
11620
done1620

end0.0ms

sample5.3s

Algorithm
intervals
Results
1.9s3010×body2560valid
1.6s2550×body1280valid
566.0ms7919×body80nan
427.0ms1232×body640valid
126.0ms606×body320valid
101.0ms411×body160valid
56.0ms191×body80valid