Details

Time bar (total: 2.4s)

sample63.0ms

Algorithm
intervals
Results
35.0ms844×body80nan
13.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0127
1167
2167

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0b

Counts
2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt times-frac
17×add-cube-cbrt *-un-lft-identity
16×sqrt-prod
associate-/l*
difference-of-squares
add-exp-log associate-/r* add-cbrt-cube
sqrt-div associate-/l/
pow1 cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
6.0ms
(/ (sqrt (- 1.0 (* x x))) x)

series125.0ms

Counts
1 → 3
Calls
1 calls:
125.0ms
(/ (sqrt (- 1.0 (* x x))) x)

simplify119.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0228405
1752389
23845385
35002385

prune89.0ms

Filtered
48 candidates to 36 candidates (75.0%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New48048
Fresh000
Picked011
Done000
Total48149

Merged error: 0b

Counts
49 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107
1107

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.3s23992×body80nan
395.0ms8000×body80valid

Profiling

Loading profile data...