Details

Time bar (total: 10.0s)

sample104.0ms

Algorithm
intervals
Results
63.0ms773×body80nan
20.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
done18
218
114
09

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 1 expressions with local error:

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
13×times-frac
8×add-sqr-sqrt distribute-lft-out
6×div-inv
5×add-cube-cbrt
3×distribute-rgt-out sqrt-prod add-log-exp
1×pow1 +-commutative sum-log flip3-+ add-cbrt-cube frac-add distribute-rgt1-in add-exp-log flip-+ insert-posit16
Counts
1 → 25
Calls
1 calls:
64.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))

series91.0ms

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

simplify2.8s

Counts
28 → 28
Iterations
IterNodes
done5000
32378
2491
1172
071

prune118.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 1 expressions with local error:

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

rewrite113.0ms

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×cbrt-undiv rec-exp 1-exp pow-prod-down associate-*r/ un-div-inv *-commutative sqrt-prod insert-posit16 div-inv add-log-exp
Counts
1 → 43
Calls
1 calls:
111.0ms
(* (+ (sqrt (- 1 (* x x))) 1) (/ 1 x))

series85.0ms

Counts
1 → 3
Calls
1 calls:
85.0ms
(* (+ (sqrt (- 1 (* x x))) 1) (/ 1 x))

simplify2.8s

Counts
46 → 46
Iterations
IterNodes
done5003
32451
2822
1293
0112

prune189.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations
IterNodes
done13
113
09

end0.0ms

sample3.5s

Algorithm
intervals
Results
2.3s23752×body80nan
807.0ms8000×body80valid