Details

Time bar (total: 13.3s)

sample227.0ms

Algorithm
intervals
Results
48.0ms256×body80valid
42.0ms862×body80nan

simplify15.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
067
187
297
done97

prune38.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize133.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ 1.0 x) 1.0)
0.2b
(log (- (/ 1.0 x) 1.0))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
48×*-un-lft-identity
44×add-cube-cbrt
39×prod-diff
38×times-frac
13×fma-neg
6×log-prod
4×div-inv add-log-exp difference-of-squares
3×pow1 add-exp-log
2×expm1-log1p-u log-div flip3-- add-cbrt-cube log1p-expm1-u flip-- distribute-lft-out--
1×sub-neg diff-log rem-log-exp log-pow
Counts
2 → 88
Calls
2 calls:
31.0ms
(- (/ 1.0 x) 1.0)
30.0ms
(log (- (/ 1.0 x) 1.0))

series189.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(- (/ 1.0 x) 1.0)
137.0ms
(log (- (/ 1.0 x) 1.0))

simplify722.0ms

Counts
94 → 94
Iterations

Useful iterations: done (717.0ms)

IterNodesCost
01571601
13481308
210871005
done5000922

prune288.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (sqrt (- (/ 1.0 x) 1.0)))
0.0b
(log (sqrt (- (/ 1.0 x) 1.0)))
0.4b
(sqrt (- (/ 1.0 x) 1.0))
0.4b
(sqrt (- (/ 1.0 x) 1.0))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
24×sqrt-prod
18×log-prod *-un-lft-identity
10×pow1 add-cube-cbrt
8×sqrt-div difference-of-squares
6×add-exp-log log-pow
4×expm1-log1p-u log-div sqrt-pow1 times-frac flip3-- add-cbrt-cube pow1/2 log1p-expm1-u flip-- distribute-lft-out-- add-log-exp
2×rem-sqrt-square rem-log-exp
Counts
4 → 88
Calls
4 calls:
15.0ms
(log (sqrt (- (/ 1.0 x) 1.0)))
19.0ms
(log (sqrt (- (/ 1.0 x) 1.0)))
36.0ms
(sqrt (- (/ 1.0 x) 1.0))
24.0ms
(sqrt (- (/ 1.0 x) 1.0))

series513.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(log (sqrt (- (/ 1.0 x) 1.0)))
156.0ms
(log (sqrt (- (/ 1.0 x) 1.0)))
76.0ms
(sqrt (- (/ 1.0 x) 1.0))
77.0ms
(sqrt (- (/ 1.0 x) 1.0))

simplify2.2s

Counts
100 → 100
Iterations

Useful iterations: 3 (836.0ms)

IterNodesCost
01131340
12271256
27101156
342411138
done50001138

prune538.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1.0 x) 1.0)
0.0b
(log (sqrt (- (/ 1.0 x) 1.0)))
0.2b
(log (- (/ 1.0 x) 1.0))
0.4b
(sqrt (- (/ 1.0 x) 1.0))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
70×add-sqr-sqrt
57×*-un-lft-identity
49×add-cube-cbrt
40×times-frac
39×prod-diff
15×log-prod
13×fma-neg
12×sqrt-prod
8×pow1 difference-of-squares
6×add-exp-log add-log-exp
4×expm1-log1p-u log-div flip3-- add-cbrt-cube sqrt-div log-pow log1p-expm1-u div-inv flip-- distribute-lft-out--
2×sqrt-pow1 pow1/2 rem-log-exp
1×rem-sqrt-square sub-neg diff-log
Counts
4 → 132
Calls
4 calls:
18.0ms
(- (/ 1.0 x) 1.0)
12.0ms
(log (sqrt (- (/ 1.0 x) 1.0)))
26.0ms
(log (- (/ 1.0 x) 1.0))
48.0ms
(sqrt (- (/ 1.0 x) 1.0))

series396.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(- (/ 1.0 x) 1.0)
151.0ms
(log (sqrt (- (/ 1.0 x) 1.0)))
89.0ms
(log (- (/ 1.0 x) 1.0))
100.0ms
(sqrt (- (/ 1.0 x) 1.0))

simplify1.1s

Counts
144 → 144
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02362271
14951936
217371583
done50001499

prune702.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.4b
(sqrt (- (/ 1.0 x) 1.0))
0.4b
(sqrt (- (/ 1.0 x) 1.0))
0.4b
(sqrt (- (/ 1.0 x) 1.0))
0.5b
(* (sqrt (sqrt (- (/ 1.0 x) 1.0))) (sqrt (sqrt (- (/ 1.0 x) 1.0))))

rewrite212.0ms

Algorithm
rewrite-expression-head
Rules
116×sqrt-prod
87×add-sqr-sqrt
39×*-un-lft-identity
35×sqrt-pow1
30×pow1 sqrt-div
20×swap-sqr
19×pow1/2 add-cube-cbrt
14×difference-of-squares
12×associate-*r* associate-*l*
9×flip3-- pow-prod-up flip-- distribute-lft-out-- unswap-sqr
7×times-frac
6×add-cbrt-cube add-exp-log
5×pow-prod-down pow-sqr
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×rem-sqrt-square
2×associate-*l/ associate-*r/
1×pow2 rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 156
Calls
4 calls:
29.0ms
(sqrt (- (/ 1.0 x) 1.0))
44.0ms
(sqrt (- (/ 1.0 x) 1.0))
23.0ms
(sqrt (- (/ 1.0 x) 1.0))
109.0ms
(* (sqrt (sqrt (- (/ 1.0 x) 1.0))) (sqrt (sqrt (- (/ 1.0 x) 1.0))))

series348.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(sqrt (- (/ 1.0 x) 1.0))
80.0ms
(sqrt (- (/ 1.0 x) 1.0))
83.0ms
(sqrt (- (/ 1.0 x) 1.0))
94.0ms
(* (sqrt (sqrt (- (/ 1.0 x) 1.0))) (sqrt (sqrt (- (/ 1.0 x) 1.0))))

simplify1.4s

Counts
168 → 168
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01592986
13181974
212831861
done50011840

prune811.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes312.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
done67

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.1s24038×body80nan
954.0ms8000×body80valid