Details

Time bar (total: 1.3s)

analyze43.0ms

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
6.0ms256×body80valid

simplify43.0ms

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

localize5.0ms

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))

series9.0ms

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

simplify35.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05063538

prune48.0ms

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

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New46349
Fresh000
Picked101
Done000
Total47350

Merged error: 0b

Counts
50 → 3

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))
6.0ms
(/ x (+ x y))
21.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series22.0ms

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

simplify42.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
055531018

prune79.0ms

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

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1011102
Fresh112
Picked011
Done000
Total1023105

Merged error: 0b

Counts
105 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(exp (/ y (+ x y)))
0.0b
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
2.3b
(log (exp (/ y (+ x y))))

rewrite50.0ms

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-+ 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:
5.0ms
(/ x (+ x y))
5.0ms
(exp (/ y (+ x y)))
26.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
6.0ms
(log (exp (/ y (+ x y))))

series45.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ x (+ x y))
12.0ms
(exp (/ y (+ x y)))
19.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
10.0ms
(log (exp (/ y (+ x y))))

simplify49.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05518999

prune105.0ms

Filtered
92 candidates to 119 candidates (-29.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1190119
Fresh011
Picked011
Done011
Total1193122

Merged error: 0b

Counts
122 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ x y))
0.1b
(* (- x y) (/ 1 (+ x y)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
29×add-sqr-sqrt
26×times-frac
20×add-cube-cbrt
18×associate-*r*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out
5×pow1 associate-*l*
4×div-exp prod-exp associate-/r* associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out-- inv-pow difference-of-squares
Counts
2 → 84
Calls
2 calls:
5.0ms
(/ 1 (+ x y))
12.0ms
(* (- x y) (/ 1 (+ x y)))

series12.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ 1 (+ x y))
8.0ms
(* (- x y) (/ 1 (+ x y)))

simplify51.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04983708
14983708

prune61.0ms

Filtered
52 candidates to 90 candidates (-73.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New90090
Fresh000
Picked011
Done022
Total90393

Merged error: 0b

Counts
93 → 3

regimes67.0ms

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

sample435.0ms

Algorithm
intervals
Results
256.0ms8000×body80valid

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