Details

Time bar (total: 10.2s)

sample63.0ms

Algorithm
intervals
Results
29.0ms772×body80nan
12.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done16
216
112
09

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (sqrt (- 1.0 (* x x))) x)
0.0b
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
27×times-frac
25×add-sqr-sqrt
21×add-cube-cbrt
16×sqrt-prod
8×log-prod
7×associate-/l*
5×add-exp-log
4×add-cbrt-cube distribute-lft-out difference-of-squares
3×pow1 log-div associate-/r* div-inv
2×sqrt-div add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-+ distribute-rgt-out flip3-- div-exp rem-log-exp frac-add log-pow flip-+ flip--
Counts
2 → 65
Calls
2 calls:
19.0ms
(/ (sqrt (- 1.0 (* x x))) x)
81.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

series632.0ms

Counts
2 → 6
Calls
2 calls:
197.0ms
(/ (sqrt (- 1.0 (* x x))) x)
435.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

simplify1.0s

Counts
71 → 71
Iterations
IterNodes
done5000
21883
1444
0201

prune368.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (pow x 2))) x))))
0.0b
(log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (pow x 2))) x))))
0.1b
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (pow x 2))) x)))
0.1b
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (pow x 2))) x)))

rewrite422.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
32×sqrt-prod
24×times-frac
22×log-prod
20×add-sqr-sqrt
18×add-cube-cbrt
16×distribute-lft-out
12×sqrt-div
10×pow1
8×div-inv
6×log-div add-exp-log log-pow
4×sqrt-pow1 flip3-+ distribute-rgt-out add-cbrt-cube pow1/2 frac-add flip-+ add-log-exp
2×rem-sqrt-square rem-log-exp
Counts
4 → 92
Calls
4 calls:
74.0ms
(log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (pow x 2))) x))))
64.0ms
(log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (pow x 2))) x))))
143.0ms
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (pow x 2))) x)))
134.0ms
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (pow x 2))) x)))

series2.1s

Counts
4 → 12
Calls
4 calls:
778.0ms
(log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (pow x 2))) x))))
822.0ms
(log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (pow x 2))) x))))
237.0ms
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (pow x 2))) x)))
279.0ms
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (pow x 2))) x)))

simplify1.2s

Counts
104 → 104
Iterations
IterNodes
done5001
22715
1618
0251

prune838.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations
IterNodes
done13
113
012

end0.0ms

sample3.4s

Algorithm
intervals
Results
1.6s23776×body80nan
1.0s8000×body80valid