Details

Time bar (total: 9.3s)

sample139.0ms

Algorithm
intervals
Results
78.0ms780×body80nan
42.0ms256×body80valid

simplify21.0ms

Calls
1 calls:
Slowest
21.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize52.0ms

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
(/ (sqrt (- 1 (* x x))) x)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
8×add-sqr-sqrt
7×add-cube-cbrt div-inv
6×sqrt-prod associate-/l*
5×add-log-exp
4×fma-def sqrt-div
3×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
2×distribute-rgt-out flip3-- flip-- distribute-lft-out associate-/l/
1×+-commutative rem-sqrt-square clear-num sum-log frac-2neg flip3-+ pow1/2 frac-add distribute-rgt1-in flip-+
Calls
3 calls:
Slowest
12.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
7.0ms
(/ (sqrt (- 1 (* x x))) x)
3.0ms
(sqrt (- 1 (* x x)))

series257.0ms

Calls
3 calls:
Slowest
109.0ms
(/ (sqrt (- 1 (* x x))) x)
94.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
54.0ms
(sqrt (- 1 (* x x)))

simplify3.1s

Calls
34 calls:
Slowest
357.0ms
(- (* 2 (/ 1 x)) (+ (* 1/2 x) (* 1/8 (pow x 3))))
353.0ms
(+ (* 1/2 (/ 1 (* x (sqrt -1)))) (+ (* 1/8 (/ 1 (* (pow x 3) (sqrt -1)))) (* x (sqrt -1))))
325.0ms
(- (/ 1 x) (+ (* 1/2 x) (* 1/8 (pow x 3))))
301.0ms
(- (+ (* 1/2 (/ 1 (* x (sqrt -1)))) (+ (* 1/8 (/ 1 (* (pow x 3) (sqrt -1)))) (* x (sqrt -1)))))
295.0ms
(- (/ 1 x) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)))

prune961.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample4.8s

Algorithm
intervals
Results
3.3s24161×body80nan
1.0s8000×body80valid