Details

Time bar (total: 1.6s)

analyze23.0ms (1.5%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
25%74.9%0.1%4
37.5%62.4%0.1%5
62.4%37.5%0.1%6
87.4%12.5%0.1%7
87.4%12.5%0.1%8
93.7%6.2%0.1%9
93.7%6.2%0.1%10
96.8%3.1%0.1%11
96.8%3.1%0.1%12
98.3%1.6%0.1%13
98.3%1.6%0.1%14

sample12.0ms (0.7%)

Algorithm
1×intervals
Results
5.0ms256×body80valid

simplify46.0ms (2.9%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
07817
17817

prune9.0ms (0.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(/ (+ x y) (- x y))

rewrite9.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls

1 calls:

7.0ms
(/ (+ x y) (- x y))

series8.0ms (0.5%)

Counts
1 → 3
Calls

1 calls:

8.0ms
(/ (+ x y) (- x y))

simplify47.0ms (3%)

Algorithm
1×egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04959532
14959532

prune60.0ms (3.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New45348
Fresh000
Picked101
Done000
Total46349

Merged error: 0.0b

Counts
49 → 3

localize9.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b
(log (exp (/ (+ x y) (- x y))))
0.0b
(exp (/ (+ x y) (- x y)))
0.0b
(/ (+ x y) (- x y))

rewrite32.0ms (2%)

Algorithm
1×rewrite-expression-head
Rules
93×*-un-lft-identity
61×add-sqr-sqrt
60×times-frac
52×exp-prod
35×add-cube-cbrt
27×log-pow
16×distribute-lft-out
13×distribute-lft-out-- difference-of-squares
6×associate-/r/
5×add-exp-log associate-/r* add-cbrt-cube
4×pow1 associate-/l* add-log-exp
3×log-prod flip3-- flip-- div-inv
2×associate-/l/
1×cbrt-undiv frac-2neg flip3-+ div-exp rem-log-exp clear-num flip-+ rem-exp-log
Counts
3 → 117
Calls

3 calls:

9.0ms
(log (exp (/ (+ x y) (- x y))))
8.0ms
(exp (/ (+ x y) (- x y)))
7.0ms
(/ (+ x y) (- x y))

series29.0ms (1.8%)

Counts
3 → 9
Calls

3 calls:

12.0ms
(exp (/ (+ x y) (- x y)))
9.0ms
(/ (+ x y) (- x y))
8.0ms
(log (exp (/ (+ x y) (- x y))))

simplify68.0ms (4.3%)

Algorithm
1×egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049511164
149511164

prune154.0ms (9.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1251126
Fresh022
Picked011
Done000
Total1254129

Merged error: 0.0b

Counts
129 → 4

localize12.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b
(log (pow E (/ (+ x y) (- x y))))
0.0b
(/ (+ x y) (- x y))
0.0b
(pow E (/ (+ x y) (- x y)))

rewrite21.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
67×*-un-lft-identity
45×add-sqr-sqrt
40×times-frac
27×add-cube-cbrt
26×pow-unpow
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
8×add-exp-log
7×log-prod
6×unpow-prod-down
5×associate-/r* add-cbrt-cube
4×pow1 rem-log-exp pow-exp associate-/r/ associate-/l*
3×add-log-exp
2×pow-to-exp e-exp-1 flip3-- flip-- div-inv associate-/l/ sqr-pow
1×cbrt-undiv pow-pow frac-2neg flip3-+ div-exp clear-num log-pow flip-+
Counts
3 → 105
Calls

3 calls:

8.0ms
(pow E (/ (+ x y) (- x y)))
7.0ms
(/ (+ x y) (- x y))
3.0ms
(log (pow E (/ (+ x y) (- x y))))

series42.0ms (2.7%)

Counts
3 → 9
Calls

3 calls:

18.0ms
(log (pow E (/ (+ x y) (- x y))))
16.0ms
(pow E (/ (+ x y) (- x y)))
8.0ms
(/ (+ x y) (- x y))

simplify60.0ms (3.8%)

Algorithm
1×egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049991137
149991137

prune144.0ms (9.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1140114
Fresh022
Picked011
Done011
Total1144118

Merged error: 0.0b

Counts
118 → 4

localize8.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b
(cbrt (pow (/ (+ x y) (- x y)) 3))
0.0b
(/ (+ x y) (- x y))
0.0b
(pow (/ (+ x y) (- x y)) 3)

rewrite36.0ms (2.3%)

Algorithm
1×rewrite-expression-head
Rules
150×*-un-lft-identity
100×times-frac
98×add-sqr-sqrt
58×cbrt-prod
56×add-cube-cbrt
52×unpow-prod-down cube-prod
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-- associate-/r* flip-- div-inv
4×pow1 associate-/l*
3×pow-unpow add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg flip3-+ pow1/3 clear-num rem-cbrt-cube flip-+
Counts
3 → 185
Calls

3 calls:

11.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))
10.0ms
(pow (/ (+ x y) (- x y)) 3)
7.0ms
(/ (+ x y) (- x y))

series38.0ms (2.4%)

Counts
3 → 9
Calls

3 calls:

17.0ms
(pow (/ (+ x y) (- x y)) 3)
12.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))
9.0ms
(/ (+ x y) (- x y))

simplify44.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
054922496

prune261.0ms (16.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1940194
Fresh011
Picked011
Done022
Total1944198

Merged error: 0.0b

Counts
198 → 4

regimes112.0ms (7.1%)

Accuracy

Total 0.0b remaining (42.6%)

Threshold costs 0.0b (42.6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0189
1189

end0.0ms (0%)

sample291.0ms (18.4%)

Algorithm
1×intervals
Results
170.0ms8000×body80valid

Profiling

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