Details

Time bar (total: 1.5s)

analyze12.0ms

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

sample27.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
5.0ms256×pre80true

simplify115.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (113.0ms)

IterNodesCost
0489715
1489715

prune8.0ms

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: 23.5b

Counts
2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* y y))
23.5b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite16.0ms

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))
11.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series15.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(+ (* x x) (* y y))
10.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify19.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (14.0ms)

IterNodesCost
05103655

prune58.0ms

Filtered
38 candidates to 48 candidates (-26.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New45348
Fresh011
Picked011
Done000
Total45550

Merged error: 0.8b

Counts
50 → 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

prune8.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New000
Fresh033
Picked011
Done011
Total055

Merged error: 0.8b

Counts
5 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (+ x y))
0.0b
(/ (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (+ x y)) (sqrt (+ (* x x) (* y y))))
22.9b
(sqrt (+ (* x x) (* y y)))
22.9b
(sqrt (+ (* x x) (* y y)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
42×*-un-lft-identity
38×times-frac
36×associate-*l*
28×add-cube-cbrt sqrt-prod
18×add-exp-log add-cbrt-cube
8×pow1 flip3-+ sqrt-div flip-+
6×associate-/r* distribute-lft-out-- difference-of-squares
5×cbrt-undiv div-exp associate-/l/
4×frac-times associate-*r/ associate-*r* prod-exp associate-/r/ cbrt-unprod add-log-exp
3×unswap-sqr
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ div-inv
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative distribute-lft-out associate-/l*
Counts
4 → 129
Calls
4 calls:
16.0ms
(* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (+ x y))
17.0ms
(/ (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (+ x y)) (sqrt (+ (* x x) (* y y))))
4.0ms
(sqrt (+ (* x x) (* y y)))
4.0ms
(sqrt (+ (* x x) (* y y)))

series38.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (+ x y))
11.0ms
(/ (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (+ x y)) (sqrt (+ (* x x) (* y y))))
6.0ms
(sqrt (+ (* x x) (* y y)))
6.0ms
(sqrt (+ (* x x) (* y y)))

simplify45.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
053722269

prune116.0ms

Filtered
102 candidates to 141 candidates (-38.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1410141
Fresh022
Picked011
Done022
Total1415146

Merged error: 0.8b

Counts
146 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.2b
(* (- x y) (/ (+ x y) (+ (* x x) (* y y))))
23.1b
(/ (+ x y) (+ (* x x) (* y y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
28×add-sqr-sqrt
25×times-frac
21×add-cube-cbrt
18×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out
5×pow1 associate-*l* add-log-exp
4×flip3-+ associate-/r/ flip-+ associate-/l*
3×associate-/r*
2×cbrt-undiv frac-times flip3-- div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg associate-*r/ pow-prod-down clear-num sum-log *-commutative distribute-lft-out-- difference-of-squares
Counts
3 → 89
Calls
3 calls:
4.0ms
(+ (* x x) (* y y))
14.0ms
(* (- x y) (/ (+ x y) (+ (* x x) (* y y))))
7.0ms
(/ (+ x y) (+ (* x x) (* y y)))

series25.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(+ (* x x) (* y y))
10.0ms
(* (- x y) (/ (+ x y) (+ (* x x) (* y y))))
7.0ms
(/ (+ x y) (+ (* x x) (* y y)))

simplify38.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
053171452

prune73.0ms

Filtered
70 candidates to 98 candidates (-40.0%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New98098
Fresh011
Picked011
Done033
Total985103

Merged error: 0.8b

Counts
103 → 5

regimes144.0ms

Accuracy

70.8% (5.9b remaining)

Error of 6.4b against oracle of 0.5b and baseline of 20.8b

bsearch41.0ms

Steps
ItersRangePoint
6
2.933297732801174e-165
1.4224508017574571e-164
1.406937817525643e-164
2
-1.3184223228308184e-233
-1.1229336119914428e-233
-1.2939862339758965e-233
7
-1.3288207964190646e-168
-1.4437923481752578e-170
-2.5696995781342912e-169
10
-8.206312233056182e+163
-5.048361885832403e+148
-1.3285261522622341e+154

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03549
13549

end0.0ms

sample597.0ms

Algorithm
intervals
Results
294.0ms8000×body80valid
153.0ms8000×pre80true

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