Details

Time bar (total: 1.5s)

sample18.0ms

Algorithm
intervals
Results
8.0ms485×body80valid

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1273
2663
31133
41453
51653
61823
71843
81843

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
8×pow1
7×add-sqr-sqrt
6×flip3-+ swap-sqr flip-+ distribute-lft-out
5×add-cube-cbrt
4×frac-times associate-*r* associate-*l*
3×add-exp-log add-cbrt-cube
2×associate-*r/ associate-*l/
1×pow2 distribute-rgt-in expm1-log1p-u distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 42
Calls
1 calls:
8.0ms
(* (+ x y) (+ x y))

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(* (+ x y) (+ x y))

simplify37.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0194221
1953194
25002180

prune51.0ms

Filtered
45 candidates to 21 candidates (46.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New41445
Fresh000
Picked011
Done000
Total41546

Merged error: 0.0b

Counts
46 → 5

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*r/
11×add-sqr-sqrt *-un-lft-identity
8×associate-*r*
7×pow1 add-exp-log add-cube-cbrt flip3-+ add-cbrt-cube flip-+
6×associate-*l*
5×add-log-exp
4×distribute-rgt-in distribute-lft-in frac-add
3×expm1-log1p-u log1p-expm1-u
2×associate-+l+ associate-+r+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
1×+-commutative distribute-rgt-out fma-def sum-log
Counts
3 → 73
Calls
3 calls:
6.0ms
(* y (+ x y))
7.0ms
(+ (* x (+ x y)) (* y (+ x y)))
6.0ms
(* x (+ x y))

series78.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(* y (+ x y))
22.0ms
(+ (* x (+ x y)) (* y (+ x y)))
30.0ms
(* x (+ x y))

simplify62.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0371403
12121342
25001336

prune114.0ms

Filtered
82 candidates to 55 candidates (67.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New80282
Fresh213
Picked101
Done101
Total84387

Merged error: 0b

Counts
87 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt fma-def *-un-lft-identity
2×pow1 add-exp-log expm1-log1p-u add-cbrt-cube fma-udef log1p-expm1-u
1×+-commutative associate-+l+ flip3-+ sum-log flip-+
Counts
2 → 27
Calls
2 calls:
3.0ms
(+ (fma x (+ x y) (* x y)) (* y y))
1.0ms
(fma x (+ x y) (* x y))

series80.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(+ (fma x (+ x y) (* x y)) (* y y))
50.0ms
(fma x (+ x y) (* x y))

simplify58.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 3 (55.0ms)

IterNodesCost
0120191
1450168
21817162
35001144

prune60.0ms

Filtered
33 candidates to 28 candidates (84.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New33033
Fresh022
Picked011
Done000
Total33336

Merged error: 0b

Counts
36 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity
5×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
4×associate-*r*
3×expm1-log1p-u associate-*l* log1p-expm1-u
2×flip3-+ associate-*r/ flip-+ fma-udef
1×+-commutative distribute-rgt-in associate-+r+ fma-def distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 50
Calls
3 calls:
4.0ms
(+ (* x x) (fma y x (* y (+ x y))))
1.0ms
(fma y x (* y (+ x y)))
6.0ms
(* y (+ x y))

series101.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(+ (* x x) (fma y x (* y (+ x y))))
46.0ms
(fma y x (* y (+ x y)))
27.0ms
(* y (+ x y))

simplify33.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0225277
11042245
25001226

prune88.0ms

Filtered
59 candidates to 43 candidates (72.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New59059
Fresh011
Picked011
Done011
Total59362

Merged error: 0b

Counts
62 → 3

regimes77.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1105

end0.0ms

sample489.0ms

Algorithm
intervals
Results
253.0ms14273×body80valid

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