Details

Time bar (total: 1.4s)

analyze38.0ms (2.8%)

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
59.3%40.6%0.1%6
76.5%23.4%0.1%7
82%18%0.1%8
87.8%12.1%0.1%9
90.7%9.2%0.1%10
93.8%6.1%0.1%11
95.3%4.6%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14

sample16.0ms (1.2%)

Algorithm
1×intervals
Results
10.0ms256×body80valid

simplify49.0ms (3.6%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
07817
17817

prune5.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (0.7%)

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-/l* distribute-lft-out-- difference-of-squares
4×associate-/r*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 46
Calls

1 calls:

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

series8.0ms (0.6%)

Counts
1 → 3
Calls

1 calls:

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

simplify32.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05063538

prune61.0ms (4.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New46349
Fresh000
Picked101
Done000
Total47350

Merged error: 0b

Counts
50 → 3

localize6.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

rewrite37.0ms (2.7%)

Algorithm
1×rewrite-expression-head
Rules
63×*-un-lft-identity
40×times-frac
35×add-sqr-sqrt
23×add-cube-cbrt
12×distribute-lft-out
8×associate-/r* associate-/r/
7×add-exp-log add-cbrt-cube distribute-lft-out--
6×associate-/l*
5×add-log-exp
4×flip3-+ flip-+ div-inv difference-of-squares
3×pow1 distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 93
Calls

3 calls:

24.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
5.0ms
(/ x (+ x y))
5.0ms
(/ y (+ x y))

series22.0ms (1.6%)

Counts
3 → 9
Calls

3 calls:

11.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
5.0ms
(/ x (+ x y))
5.0ms
(/ y (+ x y))

simplify44.0ms (3.2%)

Algorithm
1×egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
055531018

prune103.0ms (7.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1011102
Fresh112
Picked011
Done000
Total1023105

Merged error: 0b

Counts
105 → 3

localize9.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b
(exp (/ y (+ x y)))
0.0b
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
0.0b
(/ x (+ x y))
1.8b
(log (exp (/ y (+ x y))))

rewrite50.0ms (3.7%)

Algorithm
1×rewrite-expression-head
Rules
54×*-un-lft-identity
37×times-frac
36×add-sqr-sqrt exp-prod
31×add-cube-cbrt
20×log-pow
10×distribute-lft-out
6×pow1 add-exp-log log-prod associate-/r/ add-cbrt-cube add-log-exp
4×associate-/r*
3×flip3-+ flip-+ div-inv associate-/l* associate--r+
2×distribute-lft-out-- difference-of-squares
1×cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp rem-log-exp clear-num flip-- rem-exp-log
Counts
4 → 107
Calls

4 calls:

29.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
7.0ms
(log (exp (/ y (+ x y))))
6.0ms
(exp (/ y (+ x y)))
5.0ms
(/ x (+ x y))

series31.0ms (2.3%)

Counts
4 → 12
Calls

4 calls:

11.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
9.0ms
(exp (/ y (+ x y)))
5.0ms
(log (exp (/ y (+ x y))))
5.0ms
(/ x (+ x y))

simplify50.0ms (3.7%)

Algorithm
1×egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05518999

prune127.0ms (9.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1190119
Fresh011
Picked011
Done011
Total1193122

Merged error: 0b

Counts
122 → 3

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) (- x y))
0.0b
(/ 1 (/ (+ x y) (- x y)))

rewrite28.0ms (2.1%)

Algorithm
1×rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
31×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
5×flip3-- flip--
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip flip3-+ flip-+ inv-pow
Counts
2 → 173
Calls

2 calls:

13.0ms
(/ 1 (/ (+ x y) (- x y)))
7.0ms
(/ (+ x y) (- x y))

series17.0ms (1.2%)

Counts
2 → 6
Calls

2 calls:

8.0ms
(/ (+ x y) (- x y))
8.0ms
(/ 1 (/ (+ x y) (- x y)))

simplify60.0ms (4.4%)

Algorithm
1×egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
056312374

prune183.0ms (13.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1790179
Fresh000
Picked011
Done022
Total1793182

Merged error: 0b

Counts
182 → 3

regimes70.0ms (5.1%)

Accuracy

Total 0.0b remaining (43%)

Threshold costs 0.0b (43%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02411
12411

end0.0ms (0%)

sample300.0ms (21.9%)

Algorithm
1×intervals
Results
177.0ms8000×body80valid

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