Details

Time bar (total: 1.5s)

analyze42.0ms

Algorithm
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

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
097
197

prune2.0ms

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

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm
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

Counts
1 → 3
Calls
1 calls:
8.0ms
(/ (- x y) (+ x y))

simplify49.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05405539

prune50.0ms

Filtered
33 candidates to 49 candidates (-48.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New46349
Fresh000
Picked011
Done000
Total46450

Merged error: 0b

Counts
50 → 4

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm
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:
5.0ms
(/ y (+ x y))
5.0ms
(/ x (+ x y))
22.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series21.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ y (+ x y))
5.0ms
(/ x (+ x y))
11.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify70.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
050031018

prune82.0ms

Filtered
73 candidates to 102 candidates (-39.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1020102
Fresh022
Picked011
Done011
Total1024106

Merged error: 0b

Counts
106 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
17×cbrt-prod
16×*-un-lft-identity
10×add-sqr-sqrt
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×flip3-+ flip-+ distribute-lft-out
1×flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 57
Calls
4 calls:
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))

series115.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- x y))
29.0ms
(cbrt (+ x y))
31.0ms
(cbrt (+ x y))
29.0ms
(cbrt (+ x y))

simplify52.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05039541

prune70.0ms

Filtered
56 candidates to 69 candidates (-23.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New69069
Fresh011
Picked011
Done022
Total69473

Merged error: 0b

Counts
73 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ (sqrt x) (sqrt y)) (/ (+ x y) (- (sqrt x) (sqrt y))))
0.0b
(- (sqrt x) (sqrt y))
0.0b
(+ (sqrt x) (sqrt y))
0.1b
(/ (+ x y) (- (sqrt x) (sqrt y)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
570×*-un-lft-identity
462×times-frac
386×add-sqr-sqrt
268×sqrt-prod
152×distribute-lft-out
146×add-cube-cbrt
120×difference-of-squares
60×distribute-lft-out--
51×associate-/r*
15×associate-/r/
11×add-exp-log add-cbrt-cube
9×associate-/l*
8×flip3-- flip-- div-inv add-log-exp
4×pow1 cbrt-undiv div-exp associate-/l/
3×flip3-+ flip-+
2×frac-2neg clear-num
1×+-commutative sub-neg diff-log sum-log
Counts
4 → 369
Calls
4 calls:
21.0ms
(/ (+ (sqrt x) (sqrt y)) (/ (+ x y) (- (sqrt x) (sqrt y))))
6.0ms
(- (sqrt x) (sqrt y))
5.0ms
(+ (sqrt x) (sqrt y))
10.0ms
(/ (+ x y) (- (sqrt x) (sqrt y)))

series63.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ (+ (sqrt x) (sqrt y)) (/ (+ x y) (- (sqrt x) (sqrt y))))
8.0ms
(- (sqrt x) (sqrt y))
6.0ms
(+ (sqrt x) (sqrt y))
17.0ms
(/ (+ x y) (- (sqrt x) (sqrt y)))

simplify97.0ms

Algorithm
egg-herbie
Counts
381 → 381
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
050018176

prune149.0ms

Filtered
148 candidates to 381 candidates (-157.4%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New3810381
Fresh000
Picked011
Done033
Total3814385

Merged error: 0b

Counts
385 → 4

regimes109.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
1711

end0.0ms

analyze38.0ms

Algorithm
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

sample298.0ms

Algorithm
intervals
Results
176.0ms8000×body80valid

Profiling

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