Details

Time bar (total: 8.4s)Debug log

sample125.0ms

Algorithm
intervals
Results
78.0ms834×body80nan
27.0ms256×body80valid

simplify15.0ms

Calls
1 calls:
Slowest
15.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

prune33.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
8×add-sqr-sqrt
7×div-inv
7×add-cube-cbrt
6×associate-/l*
6×sqrt-prod
5×add-log-exp
4×sqrt-div
4×fma-def
3×log1p-expm1-u
3×add-exp-log
3×add-cbrt-cube
3×pow1
3×expm1-log1p-u
2×associate-/l/
2×distribute-lft-out
2×flip--
2×flip3--
2×distribute-rgt-out
1×flip-+
1×distribute-rgt1-in
1×frac-add
1×pow1/2
1×flip3-+
1×frac-2neg
1×sum-log
1×clear-num
1×rem-sqrt-square
1×+-commutative
Calls
3 calls:
Slowest
8.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
3.0ms
(/ (sqrt (- 1 (* x x))) x)
1.0ms
(sqrt (- 1 (* x x)))

series130.0ms

Calls
3 calls:
Slowest
63.0ms
(/ (sqrt (- 1 (* x x))) x)
35.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
31.0ms
(sqrt (- 1 (* x x)))

simplify2.4s

Calls
34 calls:
Slowest
333.0ms
(- (* 1/8 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 1/2 (/ 1 (* x (sqrt -1))))))
274.0ms
(- (+ (* x (sqrt -1)) (* 1/2 (/ 1 (* x (sqrt -1))))) (* 1/8 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
267.0ms
(- (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
255.0ms
(- (* 2 (/ 1 x)) (+ (* 1/2 x) (* 1/8 (pow x 3))))
249.0ms
(- (/ 1 x) (+ (* 1/2 x) (* 1/8 (pow x 3))))

prune465.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample5.2s

Algorithm
intervals
Results
3.7s24569×body80nan
1.0s8000×body80valid