Details

Time bar (total: 1.4s)

analyze13.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%18.7%81.3%0
0%18.7%81.3%1
0%18.7%81.3%2
0%18.7%81.3%3
0%18.7%81.3%4
4.7%14%81.3%5
5.3%13.5%81.3%6
18.1%0.6%81.3%7
18.1%0.6%81.3%8
18.6%0.1%81.3%9
18.6%0.1%81.3%10
18.7%0%81.3%11
18.7%0%81.3%12
18.7%0%81.3%13
18.7%0%81.3%14

sample22.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
5.0ms256×pre80true

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
0494515
1494515

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 20.6b

Counts
2 → 2

localize12.0ms

Local error

Found 1 expressions with local error:

20.8b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-/l/
6×add-exp-log add-cbrt-cube
4×frac-times flip3-+ flip-+
3×add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity times-frac associate-/r* flip--
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/r/
1×pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 31
Calls
1 calls:
11.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify42.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04955524
14955524

prune49.0ms

Filtered
28 candidates to 34 candidates (-21.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New32234
Fresh011
Picked101
Done000
Total33336

Merged error: 0.9b

Counts
36 → 3

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

prune5.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done000
Total033

Merged error: 0.9b

Counts
3 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (- x y) (/ (+ x y) (+ (* x x) (* y y))))
20.2b
(/ (+ x y) (+ (* x x) (* y y)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
27×add-sqr-sqrt
25×times-frac
20×add-cube-cbrt
18×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out
5×associate-*l*
4×pow1 associate-/r/ associate-/l*
3×flip3-+ associate-/r* flip-+
2×cbrt-undiv frac-times flip3-- div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative distribute-lft-out-- difference-of-squares
Counts
2 → 78
Calls
2 calls:
14.0ms
(* (- x y) (/ (+ x y) (+ (* x x) (* y y))))
7.0ms
(/ (+ x y) (+ (* x x) (* y y)))

series18.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(* (- x y) (/ (+ x y) (+ (* x x) (* y y))))
7.0ms
(/ (+ x y) (+ (* x x) (* y y)))

simplify43.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
052581315

prune80.0ms

Filtered
60 candidates to 84 candidates (-40.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New83184
Fresh011
Picked011
Done011
Total83487

Merged error: 0.8b

Counts
87 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (+ x y) (/ (- x y) (+ (* x x) (* y y))))
20.2b
(/ (- x y) (+ (* x x) (* y y)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1 flip3-+ associate-*l* associate-/r/ flip-+
3×associate-/r*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip-- distribute-lft-out
Counts
2 → 85
Calls
2 calls:
15.0ms
(* (+ x y) (/ (- x y) (+ (* x x) (* y y))))
8.0ms
(/ (- x y) (+ (* x x) (* y y)))

series20.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(* (+ x y) (/ (- x y) (+ (* x x) (* y y))))
7.0ms
(/ (- x y) (+ (* x x) (* y y)))

simplify32.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
054251465

prune101.0ms

Filtered
69 candidates to 91 candidates (-31.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New91091
Fresh011
Picked011
Done022
Total91495

Merged error: 0.8b

Counts
95 → 4

regimes95.0ms

Accuracy

78.8% (4.6b remaining)

Error of 5.1b against oracle of 0.5b and baseline of 22.1b

bsearch35.0ms

Steps
ItersRangePoint
6
1.3346835501240405e-165
9.61967093366873e-165
9.42443533501088e-165
9
-6.264221904063343e-158
-2.6156353574119712e-166
-1.600241613831498e-162
8
-8.519935675814148e-28
-1.935623527001621e-30
-7.950737605047179e-28

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07930
17930

end0.0ms

sample629.0ms

Algorithm
intervals
Results
322.0ms8000×body80valid
161.0ms8000×pre80true

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