Details

Time bar (total: 17.3s)

sample151.0ms

Algorithm
intervals
Results
53.0ms80×body2560valid
36.0ms77×body1280valid
16.0ms250×body80nan
14.0ms42×body640valid
7.0ms27×body320valid
3.0ms21×body160valid
1.0ms9×body80valid

simplify724.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
12014
24314
38414
415514
525214
693414
done500014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize19.0ms

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

rewrite75.0ms

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:
36.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
34.0ms
(* 5.0 (* v v))
2.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series181.0ms

Counts
3 → 9
Calls
3 calls:
139.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
37.0ms
(* 5.0 (* v v))
5.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify1.8s

Counts
78 → 78
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01451268
13681227
218131122
done50011118

prune291.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-exp-log
9×add-sqr-sqrt add-cbrt-cube
8×add-cube-cbrt *-un-lft-identity
6×log-prod
4×expm1-log1p-u exp-prod log1p-expm1-u add-log-exp
3×associate-*l* exp-sum pow-prod-down prod-exp cbrt-unprod
2×log-pow
1×acos-asin rem-log-exp associate-*r* *-commutative rem-exp-log unswap-sqr
Counts
4 → 62
Calls
4 calls:
2.0ms
(log (acos (/ (- 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)))))
34.0ms
(* 5.0 (* v v))
2.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series182.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
9.0ms
(exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
39.0ms
(* 5.0 (* v v))
5.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify790.0ms

Counts
74 → 74
Iterations

Useful iterations: done (786.0ms)

IterNodesCost
0881166
11761122
2656960
done5001956

prune229.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1.0 (- (* v v) 1.0)) (/ 5.0 (- 1 (/ 1.0 (* v v)))))
0.2b
(/ 1.0 (* v v))
1.0b
(/ 5.0 (- 1 (/ 1.0 (* v v))))
1.0b
(acos (- (/ 1.0 (- (* v v) 1.0)) (/ 5.0 (- 1 (/ 1.0 (* v v))))))

rewrite460.0ms

Algorithm
rewrite-expression-head
Rules
955×times-frac
936×add-sqr-sqrt
726×*-un-lft-identity
540×prod-diff
483×add-cube-cbrt
329×difference-of-squares
100×associate-/r/
62×distribute-lft-out--
51×flip3-- flip-- div-inv
18×fma-neg
11×add-exp-log add-cbrt-cube
9×associate-/r*
6×associate-/l* add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×cbrt-undiv div-exp
2×frac-2neg clear-num
1×acos-asin sub-neg diff-log prod-exp frac-sub cbrt-unprod
Counts
4 → 664
Calls
4 calls:
259.0ms
(- (/ 1.0 (- (* v v) 1.0)) (/ 5.0 (- 1 (/ 1.0 (* v v)))))
9.0ms
(/ 1.0 (* v v))
50.0ms
(/ 5.0 (- 1 (/ 1.0 (* v v))))
54.0ms
(acos (- (/ 1.0 (- (* v v) 1.0)) (/ 5.0 (- 1 (/ 1.0 (* v v))))))

series257.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(- (/ 1.0 (- (* v v) 1.0)) (/ 5.0 (- 1 (/ 1.0 (* v v)))))
34.0ms
(/ 1.0 (* v v))
75.0ms
(/ 5.0 (- 1 (/ 1.0 (* v v))))
6.0ms
(acos (- (/ 1.0 (- (* v v) 1.0)) (/ 5.0 (- 1 (/ 1.0 (* v v))))))

simplify1.5s

Counts
676 → 676
Iterations

Useful iterations: done (1.4s)

IterNodesCost
086049140
1199244581
done500136258

prune2.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(expm1 (log1p (acos (- (/ 1.0 (- (* v v) 1.0)) (/ 5.0 (- 1 (/ 1.0 (* v v))))))))
0.2b
(/ 1.0 (* v v))
1.0b
(/ 5.0 (- 1 (/ 1.0 (* v v))))
1.0b
(acos (- (/ 1.0 (- (* v v) 1.0)) (/ 5.0 (- 1 (/ 1.0 (* v v))))))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
35×*-un-lft-identity times-frac
19×add-cube-cbrt
16×difference-of-squares
11×add-exp-log add-cbrt-cube
9×associate-/r*
6×associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u distribute-lft-out-- add-log-exp
3×cbrt-undiv div-exp
2×frac-2neg clear-num associate-/r/ div-inv
1×acos-asin expm1-log1p flip3-- prod-exp flip-- cbrt-unprod expm1-udef
Counts
4 → 95
Calls
4 calls:
0.0ms
(expm1 (log1p (acos (- (/ 1.0 (- (* v v) 1.0)) (/ 5.0 (- 1 (/ 1.0 (* v v))))))))
11.0ms
(/ 1.0 (* v v))
31.0ms
(/ 5.0 (- 1 (/ 1.0 (* v v))))
64.0ms
(acos (- (/ 1.0 (- (* v v) 1.0)) (/ 5.0 (- 1 (/ 1.0 (* v v))))))

series335.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(expm1 (log1p (acos (- (/ 1.0 (- (* v v) 1.0)) (/ 5.0 (- 1 (/ 1.0 (* v v))))))))
37.0ms
(/ 1.0 (* v v))
89.0ms
(/ 5.0 (- 1 (/ 1.0 (* v v))))
10.0ms
(acos (- (/ 1.0 (- (* v v) 1.0)) (/ 5.0 (- 1 (/ 1.0 (* v v))))))

simplify1.2s

Counts
107 → 107
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01921737
14041660
216261492
done50011489

prune458.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

regimes175.0ms

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 (1.0ms)

IterNodesCost
01522
11722
done1722

end0.0ms

sample6.1s

Algorithm
intervals
Results
2.0s2940×body2560valid
1.2s2501×body1280valid
1.1s7931×body80nan
594.0ms450×body160valid
454.0ms1277×body640valid
186.0ms630×body320valid
56.0ms202×body80valid