Details

Time bar (total: 11.6s)

sample125.0ms

Algorithm
intervals
Results
65.0ms876×body80nan
22.0ms256×body80valid

simplify22.0ms

Counts
1 → 1
Iterations
IterNodes
done18
318
216
112
09

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
36×times-frac
35×add-sqr-sqrt
29×add-cube-cbrt
20×sqrt-prod
13×fma-def
7×associate-/l*
5×add-exp-log add-cbrt-cube add-log-exp difference-of-squares
4×pow1 sqrt-div div-inv distribute-lft-out
3×expm1-log1p-u associate-/r* log1p-expm1-u
2×flip3-- flip-- associate-/l/
1×cbrt-undiv +-commutative rem-sqrt-square distribute-rgt-out frac-2neg sqrt-pow1 flip3-+ pow1/2 div-exp frac-add clear-num sum-log flip-+
Counts
3 → 97
Calls
3 calls:
15.0ms
(sqrt (- 1.0 (* x x)))
26.0ms
(/ (sqrt (- 1.0 (* x x))) x)
121.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series505.0ms

Counts
3 → 9
Calls
3 calls:
103.0ms
(sqrt (- 1.0 (* x x)))
229.0ms
(/ (sqrt (- 1.0 (* x x))) x)
173.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify5.4s

Counts
106 → 106
Iterations
IterNodes
done5000
34894
21269
1415
0181

prune818.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations
IterNodes
done10
110
09

end0.0ms

sample4.5s

Algorithm
intervals
Results
2.7s23407×body80nan
960.0ms8000×body80valid