Details

Time bar (total: 12.1s)

sample206.0ms

Algorithm
intervals
Results
137.0ms837×body80nan
38.0ms256×body80valid

simplify42.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
26×times-frac
21×add-sqr-sqrt
16×distribute-lft-out
15×log-prod
13×add-cube-cbrt
12×div-inv
11×sqrt-prod
6×distribute-rgt-out
5×pow1 add-log-exp
4×add-exp-log
3×log-div add-cbrt-cube insert-posit16
2×flip3-+ sqrt-div frac-add distribute-rgt1-in flip-+ difference-of-squares
1×+-commutative rem-sqrt-square sum-log sqrt-pow1 flip3-- pow1/2 rem-log-exp log-pow flip--
Counts
3 → 71
Calls
3 calls:
Slowest
27.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
12.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
7.0ms
(sqrt (- 1 (* x x)))

series413.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
254.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
89.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
71.0ms
(sqrt (- 1 (* x x)))

simplify1.3s

Counts
80 → 80

prune652.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
0.2b
(sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
0.0b
(log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))
0.0b
(log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
86×*-un-lft-identity
72×sqrt-prod
52×times-frac
40×add-sqr-sqrt
36×log-prod
32×distribute-lft-out
26×add-cube-cbrt
24×div-inv
12×distribute-rgt-out sqrt-div
10×pow1
6×log-div add-exp-log log-pow
4×sqrt-pow1 flip3-+ add-cbrt-cube pow1/2 frac-add distribute-rgt1-in flip-+ insert-posit16 add-log-exp
2×rem-sqrt-square rem-log-exp
Counts
4 → 124
Calls
4 calls:
Slowest
32.0ms
(sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
23.0ms
(sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
14.0ms
(log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))
13.0ms
(log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
435.0ms
(log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))
392.0ms
(log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))
197.0ms
(sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
148.0ms
(sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

simplify1.5s

Counts
136 → 136

prune1.6s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample5.0s

Algorithm
intervals
Results
2.9s24071×body80nan
1.6s8000×body80valid