Details

Time bar (total: 3.0s)

sample32.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
8.0ms250×body80nan

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05122
17122
211122
done11122

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt sqrt-prod
2×pow1 *-un-lft-identity sqrt-div add-cube-cbrt
1×rem-sqrt-square sqrt-pow1 flip3-- add-cbrt-cube pow1/2 add-exp-log flip-- add-log-exp difference-of-squares
Counts
1 → 16
Calls
1 calls:
7.0ms
(sqrt (- 1.0 (* x x)))

series96.0ms

Counts
1 → 3
Calls
1 calls:
96.0ms
(sqrt (- 1.0 (* x x)))

simplify555.0ms

Counts
19 → 19
Iterations

Useful iterations: 2 (117.0ms)

IterNodesCost
0676209
11644752
27084470
done50014470

prune70.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (- 1.0 (* x x)))
3.0b
(log (sqrt (- 1.0 (* x x))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt sqrt-prod
7×log-prod
5×pow1 *-un-lft-identity add-cube-cbrt
4×sqrt-div
3×add-exp-log log-pow
2×log-div sqrt-pow1 flip3-- add-cbrt-cube pow1/2 flip-- add-log-exp difference-of-squares
1×rem-sqrt-square rem-log-exp
Counts
2 → 36
Calls
2 calls:
6.0ms
(sqrt (- 1.0 (* x x)))
4.0ms
(log (sqrt (- 1.0 (* x x))))

series341.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(sqrt (- 1.0 (* x x)))
265.0ms
(log (sqrt (- 1.0 (* x x))))

simplify794.0ms

Counts
42 → 42
Iterations

Useful iterations: 2 (296.0ms)

IterNodesCost
011316074
125312590
2109812026
done500012026

prune263.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07262
done7262

end0.0ms

sample810.0ms

Algorithm
intervals
Results
292.0ms8000×body80valid
262.0ms8142×body80nan