Details

Time bar (total: 1.6s)

analyze214.0ms

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

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune48.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New45449
Fresh000
Picked011
Done000
Total45550

Merged error: 0b

Counts
50 → 5

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:
4.0ms
(/ 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)))

simplify67.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
050031018

prune82.0ms

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

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1002102
Fresh303
Picked101
Done011
Total1043107

Merged error: 0b

Counts
107 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ x (+ x y)))
0.0b
(/ x (+ x y))
0.0b
(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
2.2b
(log (exp (/ x (+ x y))))

rewrite45.0ms

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
(exp (/ x (+ x y)))
5.0ms
(/ x (+ x y))
25.0ms
(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
6.0ms
(log (exp (/ x (+ x y))))

series32.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(exp (/ x (+ x y)))
5.0ms
(/ x (+ x y))
11.0ms
(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
7.0ms
(log (exp (/ x (+ x y))))

simplify42.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
049751000
149751000

prune105.0ms

Filtered
90 candidates to 119 candidates (-32.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1190119
Fresh011
Picked011
Done011
Total1193122

Merged error: 0b

Counts
122 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (sqrt (+ x y)))
0.1b
(* (/ 1 (sqrt (+ x y))) (- (/ x (sqrt (+ x y))) (/ y (sqrt (+ x y)))))
0.2b
(/ y (sqrt (+ x y)))
0.2b
(/ x (sqrt (+ x y)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
137×*-un-lft-identity
122×times-frac
117×add-sqr-sqrt
82×sqrt-prod
71×add-cube-cbrt
27×associate-*r* associate-*l*
21×add-exp-log associate-/r*
19×distribute-lft-out
15×add-cbrt-cube
12×sqrt-div associate-/r/ distribute-lft-out--
9×associate-/l* difference-of-squares
8×pow1
6×flip3-+ div-exp flip-+ div-inv
5×unswap-sqr
4×cbrt-undiv frac-times associate-*r/ prod-exp add-log-exp
3×distribute-rgt-out-- pow-flip frac-2neg clear-num
2×sub-neg rec-exp flip3-- 1-exp frac-sub flip-- cbrt-unprod sub-div
1×distribute-rgt-in distribute-lft-in sqrt-pow1 pow1/2 pow-prod-down associate-*l/ *-commutative inv-pow
Counts
4 → 226
Calls
4 calls:
6.0ms
(/ 1 (sqrt (+ x y)))
56.0ms
(* (/ 1 (sqrt (+ x y))) (- (/ x (sqrt (+ x y))) (/ y (sqrt (+ x y)))))
5.0ms
(/ y (sqrt (+ x y)))
6.0ms
(/ x (sqrt (+ x y)))

series70.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(/ 1 (sqrt (+ x y)))
35.0ms
(* (/ 1 (sqrt (+ x y))) (- (/ x (sqrt (+ x y))) (/ y (sqrt (+ x y)))))
15.0ms
(/ y (sqrt (+ x y)))
12.0ms
(/ x (sqrt (+ x y)))

simplify68.0ms

Algorithm
egg-herbie
Counts
238 → 238
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049612709
149612709

prune158.0ms

Filtered
143 candidates to 238 candidates (-66.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2380238
Fresh000
Picked011
Done022
Total2383241

Merged error: 0b

Counts
241 → 3

regimes98.0ms

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
067
167

end0.0ms

analyze37.0ms

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

sample288.0ms

Algorithm
intervals
Results
174.0ms8000×body80valid

Profiling

Loading profile data...