Details

Time bar (total: 3.1s)

analyze68.0ms

Algorithm
search

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
093
1123
2133
3133

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 2 expressions with local error:

0.0b
(+ (* x x) y)
0.0b
(+ (+ (* x x) y) y)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×*-un-lft-identity sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ add-cbrt-cube flip-+
1×associate-+l+ distribute-lft-out
Counts
2 → 25
Calls
2 calls:
4.0ms
(+ (* x x) y)
6.0ms
(+ (+ (* x x) y) y)

series8.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ (* x x) y)
5.0ms
(+ (+ (* x x) y) y)

simplify55.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0136138
1511127
21640121
35002120

prune35.0ms

Filtered
22 candidates to 31 candidates (-40.9%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New29231
Fresh000
Picked101
Done000
Total30232

Merged error: 0.0b

Counts
32 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x x) (+ y y))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
3×sum-log
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ *-un-lft-identity flip3-+ add-cbrt-cube flip-+
Counts
1 → 13
Calls
1 calls:
6.0ms
(+ (* x x) (+ y y))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(+ (* x x) (+ y y))

simplify61.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010383
146873
2175673
3500273

prune19.0ms

Filtered
11 candidates to 16 candidates (-45.5%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New16016
Fresh011
Picked011
Done000
Total16218

Merged error: 0.0b

Counts
18 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) y)
1.6b
(+ (neg (* y y)) (pow x 4))
30.5b
(/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
18×add-sqr-sqrt
16×times-frac
13×add-cube-cbrt
9×add-log-exp
7×distribute-lft-out
5×add-exp-log add-cbrt-cube difference-of-squares
4×associate-+l- associate-/r* associate-/l*
3×pow1 neg-sub0 flip3-+ sum-log flip-+
2×+-commutative div-sub associate-/r/ associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-exp neg-log clear-num flip-- div-inv
Counts
3 → 68
Calls
3 calls:
16.0ms
(+ (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) y)
6.0ms
(+ (neg (* y y)) (pow x 4))
11.0ms
(/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y))

series53.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+ (/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y)) y)
10.0ms
(+ (neg (* y y)) (pow x 4))
16.0ms
(/ (+ (neg (* y y)) (pow x 4)) (- (* x x) y))

simplify49.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0308760
11406690
25001659

prune108.0ms

Filtered
60 candidates to 77 candidates (-28.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New76177
Fresh000
Picked101
Done011
Total77279

Merged error: 0.0b

Counts
79 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ (/ (- (pow x 4) (pow y 2)) (sqrt (- (* x x) y))) (sqrt (- (* x x) y))) y)
1.6b
(- (pow x 4) (pow y 2))
6.1b
(/ (- (pow x 4) (pow y 2)) (sqrt (- (* x x) y)))
12.4b
(/ (/ (- (pow x 4) (pow y 2)) (sqrt (- (* x x) y))) (sqrt (- (* x x) y)))

rewrite420.0ms

Algorithm
rewrite-expression-head
Rules
1834×times-frac
1778×add-sqr-sqrt
1056×sqrt-prod
1044×difference-of-squares
736×*-un-lft-identity
604×add-cube-cbrt
455×unpow-prod-down sqr-pow
195×unpow2
134×associate-/l*
65×distribute-lft-out--
20×sqrt-div associate-/r/
14×associate-/r*
12×flip3-- flip--
11×add-exp-log add-cbrt-cube
10×div-inv
8×add-log-exp
5×div-sub
4×pow1 cbrt-undiv div-exp
3×associate-/l/
2×frac-2neg clear-num
1×+-commutative associate-+l- sub-neg flip3-+ diff-log sum-log flip-+ distribute-lft-out
Counts
4 → 1159
Calls
4 calls:
228.0ms
(+ (/ (/ (- (pow x 4) (pow y 2)) (sqrt (- (* x x) y))) (sqrt (- (* x x) y))) y)
7.0ms
(- (pow x 4) (pow y 2))
16.0ms
(/ (- (pow x 4) (pow y 2)) (sqrt (- (* x x) y)))
48.0ms
(/ (/ (- (pow x 4) (pow y 2)) (sqrt (- (* x x) y))) (sqrt (- (* x x) y)))

series43.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(+ (/ (/ (- (pow x 4) (pow y 2)) (sqrt (- (* x x) y))) (sqrt (- (* x x) y))) y)
7.0ms
(- (pow x 4) (pow y 2))
14.0ms
(/ (- (pow x 4) (pow y 2)) (sqrt (- (* x x) y)))
10.0ms
(/ (/ (- (pow x 4) (pow y 2)) (sqrt (- (* x x) y))) (sqrt (- (* x x) y)))

simplify273.0ms

Algorithm
egg-herbie
Counts
1171 → 1171
Iterations

Useful iterations: 1 (54.0ms)

IterNodesCost
0309324802
1500222799

prune1.3s

Filtered
472 candidates to 1171 candidates (-148.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New117101171
Fresh000
Picked011
Done011
Total117121173

Merged error: 0.0b

Counts
1173 → 2

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
063
163

end0.0ms

analyze63.0ms

Algorithm
search

sample285.0ms

Algorithm
intervals
Results
171.0ms8000×body80valid
0.0ms12×body80invalid

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