Details

Time bar (total: 8.7s)

sample124.0ms

Algorithm
intervals
Results
73.0ms773×body80nan
24.0ms256×body80valid

simplify20.0ms

Counts
1 → 1
Iterations
IterNodes
done20
320
218
114
09

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 1 expressions with local error:

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

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
22×times-frac
15×add-sqr-sqrt
13×fma-def
12×add-cube-cbrt
8×distribute-lft-out
7×div-inv
3×distribute-rgt-out sqrt-prod add-log-exp
1×expm1-log1p-u pow1 +-commutative sum-log flip3-+ add-cbrt-cube frac-add distribute-rgt1-in add-exp-log flip-+ insert-posit16 log1p-expm1-u
Counts
1 → 40
Calls
1 calls:
62.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))

series114.0ms

Counts
1 → 3
Calls
1 calls:
114.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))

simplify2.0s

Counts
43 → 43
Iterations
IterNodes
done5001
31689
2519
1182
073

prune172.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×times-frac
10×add-exp-log
9×add-cube-cbrt
6×add-cbrt-cube
5×associate-*l*
4×prod-exp
3×pow1 unswap-sqr
2×frac-times flip3-+ div-exp associate-*l/ cbrt-unprod flip-+ distribute-lft-out
1×expm1-log1p-u cbrt-undiv rec-exp 1-exp pow-prod-down associate-*r/ un-div-inv *-commutative sqrt-prod insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
94.0ms
(* (+ (sqrt (- 1 (* x x))) 1) (/ 1 x))

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(* (+ (sqrt (- 1 (* x x))) 1) (/ 1 x))

simplify2.0s

Counts
48 → 48
Iterations
IterNodes
done5002
32924
2985
1302
0114

prune193.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations
IterNodes
done13
113
09

end0.0ms

sample3.8s

Algorithm
intervals
Results
2.4s23752×body80nan
846.0ms8000×body80valid