Details

Time bar (total: 27.4s)

sample410.0ms

Algorithm
intervals
Results
57.0ms256×body80valid
25.0ms245×body80nan

simplify191.0ms

Counts
1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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))))

rewrite79.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 109
Calls
3 calls:
Slowest
39.0ms
(/ (- 1 x) (+ 1 x))
21.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
1.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

series144.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
76.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
60.0ms
(/ (- 1 x) (+ 1 x))
7.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

simplify922.0ms

Counts
118 → 118

prune1.1s

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)))))

rewrite144.0ms

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×expm1-log1p-u associate-/r* flip3-+ flip-+ insert-posit16 log1p-expm1-u 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 → 189
Calls
4 calls:
Slowest
63.0ms
(sqrt (log (exp (/ (- 1 x) (+ 1 x)))))
31.0ms
(exp (/ (- 1 x) (+ 1 x)))
30.0ms
(log (exp (/ (- 1 x) (+ 1 x))))
16.0ms
(/ (- 1 x) (+ 1 x))

series193.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
68.0ms
(sqrt (log (exp (/ (- 1 x) (+ 1 x)))))
63.0ms
(exp (/ (- 1 x) (+ 1 x)))
38.0ms
(/ (- 1 x) (+ 1 x))
24.0ms
(log (exp (/ (- 1 x) (+ 1 x))))

simplify1.1s

Counts
201 → 201

prune2.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize32.0ms

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))))

rewrite258.0ms

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×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u
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 → 1199
Calls
4 calls:
Slowest
68.0ms
(log (exp (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))
60.0ms
(exp (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x))))
32.0ms
(/ (- 1 x) (sqrt (+ 1 x)))
32.0ms
(/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))

series248.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
93.0ms
(/ (- 1 x) (sqrt (+ 1 x)))
72.0ms
(exp (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x))))
47.0ms
(/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))
36.0ms
(log (exp (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))

simplify978.0ms

Counts
1211 → 1211

prune17.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.0s8000×body80valid
859.0ms8192×body80nan