Details

Time bar (total: 6.8s)

sample110.0ms

Algorithm
intervals
Results
28.0ms257×body160nan
25.0ms511×body80nan
17.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1109
2119
done119

prune33.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.9b

localize27.0ms

Local error

Found 1 expressions with local error:

28.7b
(sqrt (- (* x x) 1.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod
pow1 add-cube-cbrt *-un-lft-identity sqrt-div
add-exp-log rem-sqrt-square flip3-- sqrt-pow1 pow1/2 add-cbrt-cube flip-- add-log-exp difference-of-squares
Counts
1 → 16
Calls
1 calls:
21.0ms
(sqrt (- (* x x) 1.0))

series91.0ms

Counts
1 → 3
Calls
1 calls:
91.0ms
(sqrt (- (* x x) 1.0))

simplify610.0ms

Counts
19 → 19
Iterations

Useful iterations: 2 (134.0ms)

IterNodesCost
064227
1149199
2596185
done5001185

prune137.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ 0.125 (pow x 3))

rewrite24.0ms

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 pow-to-exp frac-2neg pow-exp clear-num div-inv add-log-exp
Counts
1 → 65
Calls
1 calls:
18.0ms
(/ 0.125 (pow x 3))

series78.0ms

Counts
1 → 3
Calls
1 calls:
78.0ms
(/ 0.125 (pow x 3))

simplify930.0ms

Counts
68 → 68
Iterations

Useful iterations: done (926.0ms)

IterNodesCost
096728
1198584
2902570
done5001568

prune283.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01114
11214
done1214

end0.0ms

sample4.4s

Algorithm
intervals
Results
1.2s8000×body80valid
1.1s16095×body80nan
1.1s7492×body160nan