Details

Time bar (total: 7.2s)

sample160.0ms

Algorithm
intervals
Results
105.0ms759×body80nan
33.0ms256×body80valid

simplify21.0ms

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
22×times-frac
19×add-sqr-sqrt
14×add-cube-cbrt
13×fma-def
sqrt-prod distribute-lft-out
div-inv
add-log-exp
pow1 distribute-rgt-out
expm1-log1p-u add-cbrt-cube sqrt-div add-exp-log insert-posit16 log1p-expm1-u difference-of-squares
+-commutative rem-sqrt-square sum-log sqrt-pow1 flip3-+ flip3-- pow1/2 frac-add distribute-rgt1-in flip-+ flip--
Counts
2 → 60
Calls
2 calls:
Slowest
40.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
11.0ms
(sqrt (- 1 (* x x)))

series167.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
107.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
60.0ms
(sqrt (- 1 (* x x)))

simplify923.0ms

Counts
66 → 66

prune730.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample5.1s

Algorithm
intervals
Results
3.0s23970×body80nan
1.5s8000×body80valid