Details

Time bar (total: 1.7s)

analyze10.0ms (0.6%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%50%50%2
0%50%50%3
12.5%25%62.5%4
18.7%12.5%68.8%5
21.9%6.2%71.9%6
23.4%3.1%73.5%7
24.2%1.6%74.2%8
24.6%0.8%74.6%9
24.8%0.4%74.8%10
24.9%0.2%74.9%11
24.9%0.1%75%12
25%0%75%13
25%0%75%14

sample16.0ms (0.9%)

Algorithm
1×intervals
Results
8.0ms256×body80valid

simplify663.0ms (39.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0717
1717

prune7.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.5b

Counts
2 → 1

localize8.0ms (0.5%)

Local error

Found 1 expressions with local error:

0.5b
(* (sqrt (- x 1.0)) (sqrt x))

rewrite13.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
15×add-sqr-sqrt
12×sqrt-prod
8×associate-*l*
7×*-un-lft-identity
6×associate-*r*
5×pow1 add-cube-cbrt
4×unswap-sqr
3×add-exp-log pow-prod-down add-cbrt-cube
2×sqrt-pow1 pow1/2 sqrt-div associate-*l/
1×flip3-- sqrt-unprod prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 34
Calls

1 calls:

11.0ms
(* (sqrt (- x 1.0)) (sqrt x))

series15.0ms (0.9%)

Counts
1 → 3
Calls

1 calls:

15.0ms
(* (sqrt (- x 1.0)) (sqrt x))

simplify43.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05045370

prune91.0ms (5.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New35237
Fresh000
Picked011
Done000
Total35338

Merged error: 0b

Counts
38 → 3

localize4.0ms (0.3%)

rewrite0.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune4.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done011
Total033

Merged error: 0b

Counts
3 → 3

localize11.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x 1.0))
0.5b
(cbrt (- x 1.0))
0.5b
(cbrt (- x 1.0))
0.5b
(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))

rewrite23.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls

4 calls:

10.0ms
(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
3.0ms
(cbrt (- x 1.0))
3.0ms
(cbrt (- x 1.0))
3.0ms
(cbrt (- x 1.0))

series39.0ms (2.3%)

Counts
4 → 12
Calls

4 calls:

12.0ms
(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
11.0ms
(cbrt (- x 1.0))
8.0ms
(cbrt (- x 1.0))
8.0ms
(cbrt (- x 1.0))

simplify37.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
051551250

prune312.0ms (18.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1130113
Fresh000
Picked011
Done022
Total1133116

Merged error: 0b

Counts
116 → 3

regimes68.0ms (4%)

Accuracy

Total 0.4b remaining (98.9%)

Threshold costs 0.4b (98.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0407
1407

end0.0ms (0%)

sample314.0ms (18.6%)

Algorithm
1×intervals
Results
225.0ms7993×body80valid
0.0ms7×body160valid
0.0ms2×body80nan

Profiling

Loading profile data...