Details

Time bar (total: 13.3s)

sample92.0ms

Algorithm
intervals
Results
54.0ms713×body80nan
22.0ms256×body80valid

simplify58.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
58.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize23.0ms

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))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
23×add-sqr-sqrt
22×times-frac
17×add-cube-cbrt
13×fma-def
8×sqrt-prod distribute-lft-out
7×div-inv add-log-exp
4×pow1 difference-of-squares
3×expm1-log1p-u distribute-rgt-out add-cbrt-cube fma-neg prod-diff add-exp-log insert-posit16 log1p-expm1-u
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 → 83
Calls
3 calls:
Slowest
34.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
12.0ms
(sqrt (- 1 (* x x)))
9.0ms
(- 1 (* x x))

series211.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
86.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
75.0ms
(sqrt (- 1 (* x x)))
50.0ms
(- 1 (* x x))

simplify7.2s

Counts
93 → 92
Calls
93 calls:
Slowest
613.0ms
(* (* (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
602.0ms
(+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))
511.0ms
(* (* (- 1 (* x x)) (- 1 (* x x))) (- 1 (* x x)))
420.0ms
(- (pow 1 3) (pow (* x x) 3))
417.0ms
(- 1 (+ (* 1/2 (pow x 2)) (* 1/8 (pow x 4))))

prune820.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample4.8s

Algorithm
intervals
Results
3.2s23892×body80nan
993.0ms8000×body80valid