Details

Time bar (total: 1.1s)

analyze41.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
25%74.9%0.1%3
25%74.9%0.1%4
43.7%56.2%0.1%5
46.8%53.1%0.1%6
78%21.9%0.1%7
82.7%17.2%0.1%8
89%10.9%0.1%9
91.3%8.6%0.1%10
94.4%5.5%0.1%11
95.6%4.3%0.1%12
97.2%2.7%0.1%13
97.8%2.1%0.1%14

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
097
197

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 1 expressions with local error:

0.0b
(/.f64 (+.f64 x y) (+.f64 y 1))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity_binary64
16×times-frac_binary64
11×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
10×distribute-lft-out_binary64
4×associate-/r*_binary64 associate-/l*_binary64
3×add-exp-log_binary64 add-cbrt-cube_binary64
2×flip3-+_binary64 associate-/l/_binary64 associate-/r/_binary64 flip-+_binary64
1×add-log-exp_binary64 pow1_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
1 → 40
Calls
1 calls:
8.0ms
(/.f64 (+.f64 x y) (+.f64 y 1))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(/.f64 (+.f64 x y) (+.f64 y 1))

simplify51.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05239470

prune39.0ms

Filtered
28 candidates to 43 candidates (-53.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New41243
Fresh000
Picked011
Done000
Total41344

Merged error: 0b

Counts
44 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 y y) 1)
0.1b
(*.f64 (/.f64 (+.f64 x y) (-.f64 (*.f64 y y) 1)) (-.f64 y 1))
17.8b
(/.f64 (+.f64 x y) (-.f64 (*.f64 y y) 1))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
66×*-un-lft-identity_binary64
49×times-frac_binary64
46×add-sqr-sqrt_binary64
30×associate-*l*_binary64
27×add-cube-cbrt_binary64
22×difference-of-squares_binary64
13×distribute-lft-out_binary64
11×difference-of-sqr-1_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
7×associate-*r*_binary64
6×associate-/r*_binary64
5×add-log-exp_binary64 pow1_binary64 flip3--_binary64 flip--_binary64
4×associate-/r/_binary64 associate-/l*_binary64
3×sub-neg_binary64
2×associate-/l/_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 associate-*r/_binary64 unswap-sqr_binary64 prod-exp_binary64 div-inv_binary64 div-exp_binary64 frac-times_binary64
1×pow-prod-down_binary64 flip3-+_binary64 diff-log_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 clear-num_binary64 frac-2neg_binary64 distribute-lft-out--_binary64 flip-+_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
3 → 123
Calls
3 calls:
6.0ms
(-.f64 (*.f64 y y) 1)
18.0ms
(*.f64 (/.f64 (+.f64 x y) (-.f64 (*.f64 y y) 1)) (-.f64 y 1))
10.0ms
(/.f64 (+.f64 x y) (-.f64 (*.f64 y y) 1))

series31.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(-.f64 (*.f64 y y) 1)
13.0ms
(*.f64 (/.f64 (+.f64 x y) (-.f64 (*.f64 y y) 1)) (-.f64 y 1))
14.0ms
(/.f64 (+.f64 x y) (-.f64 (*.f64 y y) 1))

simplify49.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049391495
149391495

prune93.0ms

Filtered
86 candidates to 132 candidates (-53.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1320132
Fresh011
Picked011
Done011
Total1323135

Merged error: 0b

Counts
135 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (+.f64 x y) (+.f64 y 1))
0.0b
(sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1)))
0.0b
(sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1)))
0.2b
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
284×*-un-lft-identity_binary64
186×sqrt-prod_binary64
160×times-frac_binary64
114×add-sqr-sqrt_binary64
90×distribute-lft-out_binary64
80×add-cube-cbrt_binary64
47×swap-sqr_binary64
25×associate-*r*_binary64 associate-*l*_binary64
21×pow1_binary64
14×associate-/r/_binary64
10×pow1/2_binary64 sqrt-pow1_binary64
9×unswap-sqr_binary64
8×flip3-+_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip-+_binary64
7×div-inv_binary64
6×sqrt-div_binary64
5×pow-prod-up_binary64
4×associate-/r*_binary64 add-log-exp_binary64 rem-sqrt-square_binary64 associate-/l*_binary64
3×pow-prod-down_binary64 pow-sqr_binary64
2×associate-/l/_binary64
1×cbrt-unprod_binary64 cbrt-undiv_binary64 rem-square-sqrt_binary64 associate-*r/_binary64 pow-plus_binary64 sqrt-unprod_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 div-exp_binary64 frac-times_binary64 pow2_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 242
Calls
4 calls:
8.0ms
(/.f64 (+.f64 x y) (+.f64 y 1))
9.0ms
(sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1)))
7.0ms
(sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1)))
28.0ms
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))

series46.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/.f64 (+.f64 x y) (+.f64 y 1))
13.0ms
(sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1)))
13.0ms
(sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1)))
14.0ms
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))

simplify61.0ms

Algorithm
egg-herbie
Counts
254 → 254
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
054313175

prune164.0ms

Filtered
143 candidates to 254 candidates (-77.6%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2540254
Fresh000
Picked011
Done022
Total2543257

Merged error: 0b

Counts
257 → 3

regimes98.0ms

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
097
197

end0.0ms

sample296.0ms

Algorithm
intervals
Results
174.0ms7996×body80valid
0.0ms2×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid

Profiling

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