Details

Time bar (total: 7.1s)

sample83.0ms

Algorithm
intervals
Results
38.0ms805×body80nan
15.0ms256×body80valid

simplify26.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×times-frac
20×add-cube-cbrt *-un-lft-identity sqrt-prod
7×associate-/l*
6×difference-of-squares
5×add-exp-log add-cbrt-cube add-log-exp
4×pow1 sqrt-div
3×flip3-- associate-/r* flip--
2×associate-/l/
1×cbrt-undiv sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log div-exp clear-num div-inv
Counts
3 → 74
Calls
3 calls:
6.0ms
(sqrt (- 1.0 (* x x)))
8.0ms
(- 1.0 (* x x))
40.0ms
(/ (sqrt (- 1.0 (* x x))) x)

series717.0ms

Counts
3 → 9
Calls
3 calls:
96.0ms
(sqrt (- 1.0 (* x x)))
75.0ms
(- 1.0 (* x x))
546.0ms
(/ (sqrt (- 1.0 (* x x))) x)

simplify2.2s

Counts
83 → 83

prune328.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify22.0ms

end0.0ms

sample3.7s

Algorithm
intervals
Results
2.2s24142×body80nan
632.0ms8000×body80valid