Details

Time bar (total: 17.9s)

sample92.0ms

Algorithm
intervals
Results
38.0ms821×body80nan
29.0ms256×body80valid

simplify22.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
0.0b
(/ (sqrt (- 1.0 (* x x))) x)

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
27×times-frac
24×add-sqr-sqrt
20×add-cube-cbrt
16×sqrt-prod
associate-/l*
add-exp-log add-cbrt-cube distribute-lft-out add-log-exp difference-of-squares
associate-/r* div-inv
pow1 sqrt-div associate-/l/
cbrt-undiv +-commutative distribute-rgt-out flip3-- frac-2neg flip3-+ div-exp frac-add clear-num sum-log flip-- flip-+
Counts
2 → 62
Calls
2 calls:
50.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
22.0ms
(/ (sqrt (- 1.0 (* x x))) x)

series618.0ms

Counts
2 → 6
Calls
2 calls:
134.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
485.0ms
(/ (sqrt (- 1.0 (* x x))) x)

simplify2.2s

Counts
68 → 68

prune262.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ 1.0 x) (* (sqrt (- 1.0 (* x x))) (/ 1 x)))
0.0b
(* (sqrt (- 1.0 (* x x))) (/ 1 x))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
13×*-un-lft-identity times-frac associate-*r*
11×add-exp-log add-cube-cbrt
sqrt-div
associate-*l* sqrt-prod add-cbrt-cube
frac-add unswap-sqr
pow1 frac-times flip3-- associate-*l/ prod-exp flip-- add-log-exp
associate-*r/ div-exp un-div-inv cbrt-unprod div-inv
cbrt-undiv +-commutative rec-exp distribute-rgt-out flip3-+ 1-exp pow-prod-down sum-log *-commutative flip-+ difference-of-squares
Counts
2 → 65
Calls
2 calls:
24.0ms
(+ (/ 1.0 x) (* (sqrt (- 1.0 (* x x))) (/ 1 x)))
47.0ms
(* (sqrt (- 1.0 (* x x))) (/ 1 x))

series341.0ms

Counts
2 → 6
Calls
2 calls:
138.0ms
(+ (/ 1.0 x) (* (sqrt (- 1.0 (* x x))) (/ 1 x)))
203.0ms
(* (sqrt (- 1.0 (* x x))) (/ 1 x))

simplify926.0ms

Counts
71 → 71

prune254.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify9.2s

end0.0ms

sample3.7s

Algorithm
intervals
Results
2.3s23838×body80nan
646.0ms8000×body80valid