Details

Time bar (total: 7.0s)

sample75.0ms

Algorithm
intervals
Results
22.0ms274×body160nan
19.0ms524×body80nan
12.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1119
2129
done129

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.1b

localize8.0ms

Local error

Found 1 expressions with local error:

31.7b
(sqrt (- (* x x) 1.0))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod
pow1 add-cube-cbrt *-un-lft-identity sqrt-div
add-exp-log expm1-log1p-u rem-sqrt-square flip3-- sqrt-pow1 pow1/2 add-cbrt-cube flip-- log1p-expm1-u add-log-exp difference-of-squares
Counts
1 → 18
Calls
1 calls:
15.0ms
(sqrt (- (* x x) 1.0))

series102.0ms

Counts
1 → 3
Calls
1 calls:
102.0ms
(sqrt (- (* x x) 1.0))

simplify1.5s

Counts
21 → 21
Iterations

Useful iterations: done (1.5s)

IterNodesCost
066241
1149208
2383195
31204181
done5000180

prune73.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ 0.125 (pow x 3))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×unpow-prod-down cube-prod associate-/r*
add-exp-log
cube-mult unpow3 sqr-pow
div-exp add-cbrt-cube associate-/l*
pow1 cbrt-undiv expm1-log1p-u pow-to-exp frac-2neg pow-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 67
Calls
1 calls:
9.0ms
(/ 0.125 (pow x 3))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(/ 0.125 (pow x 3))

simplify2.1s

Counts
70 → 70
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
098740
1169596
2471580
32517580
done5000580

prune207.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01114
11314
done1314

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.1s16728×body80nan
746.0ms7880×body160nan
524.0ms8000×body80valid