Details

Time bar (total: 1.6s)

analyze13.0ms

Algorithm
search

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
5.0ms256×pre80true

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0227
1487
21047
31967
43597
56867
613437
750017

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 20.3b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* y y))
20.1b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-/l/
7×add-exp-log add-cbrt-cube
5×flip3-+ flip-+
4×add-sqr-sqrt frac-times add-cube-cbrt *-un-lft-identity add-log-exp
3×flip3-- times-frac associate-/r* flip--
2×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/r/
1×+-commutative frac-2neg prod-exp clear-num sum-log cbrt-unprod div-inv associate-/l*
Counts
2 → 42
Calls
2 calls:
4.0ms
(+ (* x x) (* y y))
12.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series16.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(+ (* x x) (* y y))
11.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify46.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0308388
11848330
25001322

prune73.0ms

Filtered
39 candidates to 48 candidates (-23.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New44448
Fresh000
Picked011
Done000
Total44549

Merged error: 0.6b

Counts
49 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
19.4b
(sqrt (+ (* x x) (* y y)))
19.4b
(sqrt (+ (* x x) (* y y)))
19.4b
(/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
120×times-frac
72×sqrt-prod
59×add-sqr-sqrt
57×add-cube-cbrt *-un-lft-identity
22×sqrt-div
18×add-exp-log associate-/r/ add-cbrt-cube
14×flip3-+ flip-+
13×associate-/l*
12×associate-/r*
9×div-inv associate-/l/
7×cbrt-undiv div-exp
6×pow1
4×frac-times add-log-exp
3×flip3-- flip--
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 associate-*r/ associate-*l/ prod-exp clear-num cbrt-unprod
Counts
4 → 176
Calls
4 calls:
18.0ms
(/ (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
3.0ms
(sqrt (+ (* x x) (* y y)))
3.0ms
(sqrt (+ (* x x) (* y y)))
13.0ms
(/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y))))

series40.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(/ (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
6.0ms
(sqrt (+ (* x x) (* y y)))
9.0ms
(sqrt (+ (* x x) (* y y)))
14.0ms
(/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y))))

simplify82.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06122996
129972693
250012692

prune145.0ms

Filtered
119 candidates to 188 candidates (-58.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1880188
Fresh033
Picked011
Done011
Total1885193

Merged error: 0.6b

Counts
193 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

7.5b
(/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
20.1b
(cbrt (+ (* x x) (* y y)))
20.1b
(cbrt (+ (* x x) (* y y)))
20.1b
(cbrt (+ (* x x) (* y y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
13×add-sqr-sqrt *-un-lft-identity
9×add-exp-log cbrt-prod add-cube-cbrt flip3-+ flip-+
8×associate-/r/
7×add-cbrt-cube
5×times-frac associate-/l*
4×pow1 frac-times add-log-exp
3×pow1/3
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/ distribute-lft-out-- difference-of-squares
1×flip3-- frac-2neg div-sub prod-exp clear-num associate-/r* flip-- cbrt-unprod div-inv
Counts
4 → 75
Calls
4 calls:
13.0ms
(/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
3.0ms
(cbrt (+ (* x x) (* y y)))
4.0ms
(cbrt (+ (* x x) (* y y)))
5.0ms
(cbrt (+ (* x x) (* y y)))

series98.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
21.0ms
(cbrt (+ (* x x) (* y y)))
21.0ms
(cbrt (+ (* x x) (* y y)))
21.0ms
(cbrt (+ (* x x) (* y y)))

simplify90.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
0410983
11120907
23509874
35001850

prune93.0ms

Filtered
72 candidates to 87 candidates (-20.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New87087
Fresh022
Picked011
Done022
Total87592

Merged error: 0.6b

Counts
92 → 5

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done033
Total055

Merged error: 0.6b

Counts
5 → 5

regimes141.0ms

Accuracy

77.4% (4.5b remaining)

Error of 5.0b against oracle of 0.5b and baseline of 20.4b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01614
11614

end0.0ms

analyze11.0ms

Algorithm
search

sample581.0ms

Algorithm
intervals
Results
296.0ms8000×body80valid
148.0ms8000×pre80true

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