Details

Time bar (total: 29.1s)

sample181.0ms

Algorithm
intervals
Results
35.0ms256×body80valid
29.0ms245×body80nan

simplify99.0ms

Counts
1 → 1

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1 x) (+ 1 x))
0.0b
(sqrt (/ (- 1 x) (+ 1 x)))
0.0b
(atan (sqrt (/ (- 1 x) (+ 1 x))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
79×*-un-lft-identity
56×add-sqr-sqrt
49×times-frac
30×sqrt-prod
26×add-cube-cbrt
18×difference-of-squares
13×distribute-lft-out
9×distribute-lft-out--
6×associate-/l*
5×add-cbrt-cube add-exp-log
4×pow1 associate-/r* associate-/r/
3×insert-posit16 add-log-exp
2×rem-sqrt-square flip3-+ flip-+ div-inv associate-/l/
1×cbrt-undiv clear-num frac-2neg sqrt-pow1 flip3-- pow1/2 sqrt-div div-sub div-exp flip--
Counts
3 → 103
Calls
3 calls:
Slowest
32.0ms
(/ (- 1 x) (+ 1 x))
20.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
1.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

series100.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
55.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
39.0ms
(/ (- 1 x) (+ 1 x))
6.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

simplify2.1s

Counts
112 → 112

prune996.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (exp (/ (- 1 x) (+ 1 x))))
0.0b
(/ (- 1 x) (+ 1 x))
0.0b
(exp (/ (- 1 x) (+ 1 x)))
0.0b
(sqrt (log (exp (/ (- 1 x) (+ 1 x)))))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
152×*-un-lft-identity
103×add-sqr-sqrt
96×times-frac
90×exp-prod
62×log-pow
51×add-cube-cbrt
34×sqrt-prod difference-of-squares
25×distribute-lft-out
17×distribute-lft-out--
8×associate-/r/
7×pow1
6×add-cbrt-cube add-exp-log associate-/l*
5×add-log-exp
4×associate-/r* flip3-+ flip-+ insert-posit16 div-inv
3×log-prod div-sub
2×exp-diff associate-/l/
1×cbrt-undiv rem-sqrt-square log-div clear-num frac-2neg sqrt-pow1 flip3-- pow1/2 div-exp rem-log-exp flip-- rem-exp-log
Counts
4 → 181
Calls
4 calls:
Slowest
59.0ms
(sqrt (log (exp (/ (- 1 x) (+ 1 x)))))
36.0ms
(exp (/ (- 1 x) (+ 1 x)))
29.0ms
(/ (- 1 x) (+ 1 x))
27.0ms
(log (exp (/ (- 1 x) (+ 1 x))))

series188.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
67.0ms
(exp (/ (- 1 x) (+ 1 x)))
45.0ms
(sqrt (log (exp (/ (- 1 x) (+ 1 x)))))
39.0ms
(log (exp (/ (- 1 x) (+ 1 x))))
37.0ms
(/ (- 1 x) (+ 1 x))

simplify1.0s

Counts
193 → 193

prune2.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1 x) (sqrt (+ 1 x)))
0.0b
(/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))
0.0b
(log (exp (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))
0.0b
(exp (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x))))

rewrite277.0ms

Algorithm
rewrite-expression-head
Rules
1974×times-frac
1813×*-un-lft-identity
1245×add-sqr-sqrt
1136×sqrt-prod
759×add-cube-cbrt
684×exp-prod
343×log-pow
324×difference-of-squares
284×distribute-lft-out
162×distribute-lft-out--
54×associate-/l*
52×sqrt-div associate-/r/
26×flip3-+ flip-+ div-inv
14×associate-/r*
11×add-cbrt-cube add-exp-log
7×div-sub
5×pow1 add-log-exp
4×cbrt-undiv div-exp insert-posit16
3×log-prod associate-/l/
2×clear-num frac-2neg exp-diff
1×log-div flip3-- rem-log-exp flip-- rem-exp-log
Counts
4 → 1191
Calls
4 calls:
Slowest
55.0ms
(log (exp (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))
53.0ms
(exp (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x))))
48.0ms
(/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))
38.0ms
(/ (- 1 x) (sqrt (+ 1 x)))

series230.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
96.0ms
(/ (- 1 x) (sqrt (+ 1 x)))
69.0ms
(exp (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x))))
40.0ms
(log (exp (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))
25.0ms
(/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))

simplify1.1s

Counts
1203 → 1203

prune17.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.3s8192×body80nan
936.0ms8000×body80valid