Details

Time bar (total: 1.4s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1143
2163
3163

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))

rewrite8.0ms

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))

simplify42.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
0187290
1526276
21757276
35002273

prune56.0ms

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

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New47249
Fresh000
Picked011
Done000
Total47350

Merged error: 0.0b

Counts
50 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm
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:
12.0ms
(/ 1 (/ (+ x y) (- x y)))
7.0ms
(/ (+ x y) (- x y))

series16.0ms

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

simplify51.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04601456
121471312
250011147

prune76.0ms

Filtered
77 candidates to 179 candidates (-132.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1790179
Fresh011
Picked011
Done011
Total1793182

Merged error: 0.0b

Counts
182 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x y))
0.0b
(sqrt (+ x y))
0.0b
(/ (/ (- x y) (sqrt (+ x y))) (sqrt (+ x y)))
0.2b
(/ (- x y) (sqrt (+ x y)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
602×times-frac
562×*-un-lft-identity
384×add-sqr-sqrt
360×sqrt-prod
254×add-cube-cbrt
90×distribute-lft-out
64×distribute-lft-out-- difference-of-squares
46×associate-/l*
24×sqrt-div
20×associate-/r/
14×associate-/r*
12×flip3-+ flip-+
11×add-exp-log add-cbrt-cube
10×div-inv
6×pow1
4×cbrt-undiv div-exp add-log-exp
3×div-sub associate-/l/
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×flip3-- flip--
Counts
4 → 449
Calls
4 calls:
3.0ms
(sqrt (+ x y))
3.0ms
(sqrt (+ x y))
20.0ms
(/ (/ (- x y) (sqrt (+ x y))) (sqrt (+ x y)))
8.0ms
(/ (- x y) (sqrt (+ x y)))

series33.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(sqrt (+ x y))
6.0ms
(sqrt (+ x y))
11.0ms
(/ (/ (- x y) (sqrt (+ x y))) (sqrt (+ x y)))
11.0ms
(/ (- x y) (sqrt (+ x y)))

simplify130.0ms

Algorithm
egg-herbie
Counts
461 → 461
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
09196157
135165457
250015445

prune169.0ms

Filtered
169 candidates to 461 candidates (-172.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New4601461
Fresh000
Picked101
Done022
Total4613464

Merged error: 0b

Counts
464 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x y))
0.0b
(sqrt (+ x y))
0.1b
(/ 1 (sqrt (+ x y)))
0.2b
(* (- x y) (/ 1 (sqrt (+ x y))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
53×add-sqr-sqrt
46×times-frac
38×sqrt-prod
37×add-cube-cbrt
27×associate-*r*
17×add-exp-log
11×add-cbrt-cube
10×pow1
9×distribute-lft-out
8×sqrt-div
7×associate-/r*
5×associate-*l* unswap-sqr
4×flip3-+ div-exp prod-exp associate-/r/ flip-+ add-log-exp
3×pow-flip sqrt-pow1 pow1/2 associate-/l*
2×cbrt-undiv frac-times rem-sqrt-square rec-exp flip3-- 1-exp associate-*l/ flip-- cbrt-unprod div-inv
1×frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 141
Calls
4 calls:
3.0ms
(sqrt (+ x y))
3.0ms
(sqrt (+ x y))
6.0ms
(/ 1 (sqrt (+ x y)))
15.0ms
(* (- x y) (/ 1 (sqrt (+ x y))))

series33.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(sqrt (+ x y))
6.0ms
(sqrt (+ x y))
8.0ms
(/ 1 (sqrt (+ x y)))
11.0ms
(* (- x y) (/ 1 (sqrt (+ x y))))

simplify52.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0438929
12177823
25001766

prune106.0ms

Filtered
88 candidates to 153 candidates (-73.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1530153
Fresh000
Picked011
Done022
Total1533156

Merged error: 0b

Counts
156 → 3

regimes93.0ms

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
0104
1104

end0.0ms

sample362.0ms

Algorithm
intervals
Results
167.0ms8000×body80valid

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