Details

Time bar (total: 1.4s)

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

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
07817
17817

prune3.0ms

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))

simplify38.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05063538

prune52.0ms

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New45449
Fresh000
Picked101
Done000
Total46450

Merged error: 0.0b

Counts
50 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

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))
20.0ms
(- (/ 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)))

simplify45.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
055531018

prune88.0ms

Filtered
74 candidates to 102 candidates (-37.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1002102
Fresh123
Picked011
Done000
Total1015106

Merged error: 0b

Counts
106 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(exp (/ x (+ x y)))
0.1b
(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
1.9b
(log (exp (/ x (+ x y))))

rewrite47.0ms

Algorithm
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-+ associate--l+ flip-+ div-inv associate-/l*
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:
5.0ms
(/ x (+ x y))
5.0ms
(exp (/ x (+ x y)))
27.0ms
(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
6.0ms
(log (exp (/ x (+ x y))))

series30.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ x (+ x y))
9.0ms
(exp (/ x (+ x y)))
11.0ms
(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
5.0ms
(log (exp (/ x (+ x y))))

simplify50.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
055981000

prune115.0ms

Filtered
88 candidates to 119 candidates (-35.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1190119
Fresh033
Picked011
Done011
Total1195124

Merged error: 0b

Counts
124 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(cbrt (pow (- (/ x (+ x y)) (/ y (+ x y))) 3))
0.1b
(- (/ x (+ x y)) (/ y (+ x y)))
0.1b
(pow (- (/ x (+ x y)) (/ y (+ x y))) 3)

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
157×*-un-lft-identity
92×times-frac
89×add-sqr-sqrt
40×cbrt-prod
35×distribute-lft-out--
34×unpow-prod-down cube-prod
29×add-cube-cbrt
24×distribute-lft-out
22×associate-/r/
20×difference-of-squares
15×distribute-rgt-out--
11×flip3-+ flip-+ div-inv
8×cube-div
7×add-exp-log add-cbrt-cube
6×add-log-exp
5×pow1
4×cbrt-div associate-/r*
3×pow-unpow flip3-- frac-sub flip-- associate-/l* sub-div
2×cube-mult unpow3 sqr-pow
1×cbrt-undiv pow-to-exp sub-neg pow-pow frac-2neg pow1/3 diff-log div-exp pow-exp clear-num rem-cbrt-cube rem-cube-cbrt
Counts
4 → 168
Calls
4 calls:
5.0ms
(/ x (+ x y))
25.0ms
(cbrt (pow (- (/ x (+ x y)) (/ y (+ x y))) 3))
20.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
24.0ms
(pow (- (/ x (+ x y)) (/ y (+ x y))) 3)

series42.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ x (+ x y))
11.0ms
(cbrt (pow (- (/ x (+ x y)) (/ y (+ x y))) 3))
11.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
15.0ms
(pow (- (/ x (+ x y)) (/ y (+ x y))) 3)

simplify41.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
054372809

prune195.0ms

Filtered
101 candidates to 180 candidates (-78.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1800180
Fresh022
Picked011
Done022
Total1805185

Merged error: 0b

Counts
185 → 5

regimes83.0ms

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 (1.0ms)

IterNodesCost
02411
12411

end0.0ms

sample305.0ms

Algorithm
intervals
Results
176.0ms8000×body80valid

Profiling

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