Details

Time bar (total: 12.7s)

sample103.0ms

Algorithm
intervals
Results
50.0ms713×body80nan
35.0ms256×body80valid

simplify32.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
32.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
14×add-sqr-sqrt
13×times-frac
8×add-cube-cbrt sqrt-prod distribute-lft-out
7×add-log-exp
6×div-inv
4×pow1 difference-of-squares
3×distribute-rgt-out add-cbrt-cube add-exp-log insert-posit16
2×flip3-- sqrt-div flip--
1×+-commutative rem-sqrt-square sum-log sub-neg sqrt-pow1 flip3-+ pow1/2 diff-log frac-add distribute-rgt1-in flip-+
Counts
3 → 58
Calls
3 calls:
Slowest
41.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
9.0ms
(- 1 (* x x))
8.0ms
(sqrt (- 1 (* x x)))

series234.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
87.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
83.0ms
(sqrt (- 1 (* x x)))
64.0ms
(- 1 (* x x))

simplify6.2s

Counts
78 → 67
Calls
78 calls:
Slowest
425.0ms
(+ (* 1/2 (/ 1 (* x (sqrt -1)))) (+ (* 1/8 (/ 1 (* (pow x 3) (sqrt -1)))) (* x (sqrt -1))))
408.0ms
(+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))
404.0ms
(* (* (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
390.0ms
(- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))
381.0ms
(* (* (- 1 (* x x)) (- 1 (* x x))) (- 1 (* x x)))

prune645.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample5.4s

Algorithm
intervals
Results
2.9s23892×body80nan
1.9s8000×body80valid