Details

Time bar (total: 8.0s)

sample143.0ms

Algorithm
intervals
Results
87.0ms799×body80nan
32.0ms256×body80valid

simplify50.0ms

Counts
1 → 1
Iterations
IterNodes
420
320
218
114
09

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize40.0ms

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))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
32×add-cube-cbrt
28×sqrt-prod
13×fma-def
10×difference-of-squares
8×div-inv distribute-lft-out associate-/l*
5×add-cbrt-cube add-exp-log add-log-exp
4×pow1 sqrt-div
3×expm1-log1p-u associate-/r* distribute-rgt-out insert-posit16 log1p-expm1-u
2×flip3-- flip-- associate-/l/
1×cbrt-undiv +-commutative rem-sqrt-square clear-num sum-log frac-2neg sqrt-pow1 flip3-+ pow1/2 div-exp frac-add distribute-rgt1-in flip-+
Counts
3 → 112
Calls
3 calls:
21.0ms
(/ (sqrt (- 1 (* x x))) x)
13.0ms
(sqrt (- 1 (* x x)))
34.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))

series283.0ms

Counts
3 → 9
Calls
3 calls:
127.0ms
(/ (sqrt (- 1 (* x x))) x)
65.0ms
(sqrt (- 1 (* x x)))
91.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))

simplify1.5s

Counts
121 → 121
Iterations
IterNodes
33007
21057
1401
0189

prune1.1s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations
IterNodes
212
112
09

end0.0ms

sample4.9s

Algorithm
intervals
Results
3.4s24271×body80nan
1.0s8000×body80valid