Details

Time bar (total: 16.4s)

sample192.0ms

Algorithm
intervals
Results
81.0ms80×body2560valid
39.0ms77×body1280valid
17.0ms250×body80nan
16.0ms42×body640valid
7.0ms27×body320valid
4.0ms21×body160valid
1.0ms9×body80valid

simplify648.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
11914
24214
37714
414614
523314
690114
done500014

prune4.0ms

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)))

rewrite64.0ms

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:
27.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
31.0ms
(* 5.0 (* v v))
3.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series148.0ms

Counts
3 → 9
Calls
3 calls:
106.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
33.0ms
(* 5.0 (* v v))
9.0ms
(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

prune259.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize31.0ms

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)))

rewrite26.0ms

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×exp-prod 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 → 54
Calls
4 calls:
1.0ms
(log (acos (/ (- 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))
2.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series173.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(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)))))
32.0ms
(* 5.0 (* v v))
5.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify589.0ms

Counts
66 → 66
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
0801058
11711018
2699852
done5000852

prune158.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize17.0ms

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))))))

rewrite270.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
46×*-un-lft-identity
43×times-frac
20×difference-of-squares
19×add-cube-cbrt
11×add-exp-log add-cbrt-cube
9×associate-/r*
8×distribute-lft-out--
6×associate-/l* add-log-exp
4×pow1
3×cbrt-undiv div-exp
2×flip3-- frac-2neg clear-num associate-/r/ flip-- div-inv
1×acos-asin sub-neg diff-log prod-exp frac-sub cbrt-unprod
Counts
4 → 98
Calls
4 calls:
146.0ms
(- (/ 1.0 (- (* v v) 1.0)) (/ 5.0 (- 1 (/ 1.0 (* v v)))))
16.0ms
(/ 1.0 (* v v))
46.0ms
(/ 5.0 (- 1 (/ 1.0 (* v v))))
59.0ms
(acos (- (/ 1.0 (- (* v v) 1.0)) (/ 5.0 (- 1 (/ 1.0 (* v v))))))

series257.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(- (/ 1.0 (- (* v v) 1.0)) (/ 5.0 (- 1 (/ 1.0 (* v v)))))
28.0ms
(/ 1.0 (* v v))
77.0ms
(/ 5.0 (- 1 (/ 1.0 (* v v))))
8.0ms
(acos (- (/ 1.0 (- (* v v) 1.0)) (/ 5.0 (- 1 (/ 1.0 (* v v))))))

simplify1.5s

Counts
110 → 110
Iterations

Useful iterations: 2 (569.0ms)

IterNodesCost
02191958
14921879
221331735
done50001735

prune408.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.9b
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b
(log (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
1.0b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.0b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod log-prod
5×pow1 add-exp-log
4×add-cbrt-cube add-log-exp
2×acos-asin pow1/3 log-pow
1×rem-log-exp
Counts
4 → 43
Calls
4 calls:
2.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
4.0ms
(log (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
2.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
2.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series565.0ms

Counts
4 → 12
Calls
4 calls:
229.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
319.0ms
(log (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
9.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
8.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify3.4s

Counts
55 → 55
Iterations

Useful iterations: 3 (132.0ms)

IterNodesCost
0531181
1901169
2230976
3661973
43570973
done5000973

prune172.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.0b

regimes159.0ms

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
01218
11418
done1418

end0.0ms

sample5.8s

Algorithm
intervals
Results
2.4s2940×body2560valid
1.2s2501×body1280valid
1.1s7931×body80nan
474.0ms1277×body640valid
137.0ms630×body320valid
67.0ms450×body160valid
17.0ms202×body80valid