Details

Time bar (total: 27.2s)

sample148.0ms

Algorithm
intervals
Results
56.0ms96×body2560valid
33.0ms79×body1280valid
16.0ms281×body80nan
11.0ms38×body640valid
5.0ms20×body320valid
2.0ms13×body160valid
1.0ms10×body80valid

simplify4.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0914
12014
24314
38414
415514
524114
633014
748214
8110714
done500114

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize10.0ms

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))
0.6b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite91.0ms

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:
57.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
30.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series167.0ms

Counts
3 → 9
Calls
3 calls:
129.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
33.0ms
(* 5.0 (* v v))
4.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify2.4s

Counts
78 → 78
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01451268
13351223
210141120
333001118
done50011116

prune244.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.6b

localize21.0ms

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))
0.6b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite24.0ms

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:
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)))))
17.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series127.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(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)))))
28.0ms
(* 5.0 (* v v))
9.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify3.5s

Counts
74 → 74
Iterations

Useful iterations: 4 (544.0ms)

IterNodesCost
0881166
11481122
2309956
3601956
4936950
52287950
done5000950

prune241.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.6b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(* 5.0 (* v v))
0.6b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
0.6b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×acos-asin associate-*r* *-commutative unswap-sqr
Counts
4 → 62
Calls
4 calls:
17.0ms
(* 5.0 (* v v))
17.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series92.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* 5.0 (* v v))
50.0ms
(* 5.0 (* v v))
8.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
6.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify4.1s

Counts
74 → 74
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
057826
1109820
2267704
3561704
4878704
52162704
done5000704

prune421.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

localize63.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.6b
(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
0.6b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
3.4b
(log (exp (* 5.0 (* v v))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1
9×add-exp-log add-cbrt-cube
7×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×log-prod associate-*l* pow-prod-down prod-exp log-pow cbrt-unprod
2×acos-asin
1×exp-prod exp-to-pow rem-log-exp associate-*r* *-commutative unswap-sqr
Counts
4 → 57
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
3.0ms
(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
2.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
9.0ms
(log (exp (* 5.0 (* v v))))

series104.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* 5.0 (* v v))
9.0ms
(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
9.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
39.0ms
(log (exp (* 5.0 (* v v))))

simplify4.3s

Counts
69 → 69
Iterations

Useful iterations: done (4.3s)

IterNodesCost
090851
1143789
2297687
3593687
4963687
53333687
done5000685

prune523.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

regimes169.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02036
12236
done2236

end0.0ms

sample5.5s

Algorithm
intervals
Results
2.0s2955×body2560valid
1.2s2532×body1280valid
1.1s7943×body80nan
505.0ms1245×body640valid
182.0ms637×body320valid
61.0ms420×body160valid
20.0ms211×body80valid