Details

Time bar (total: 1.5s)

analyze99.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
25%74.9%0.1%6
56.2%43.7%0.1%7
56.2%43.7%0.1%8
76.5%23.4%0.1%9
76.5%23.4%0.1%10
87.8%12.1%0.1%11
87.8%12.1%0.1%12
93.8%6.1%0.1%13
93.8%6.1%0.1%14

sample13.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify126.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (123.0ms)

IterNodesCost
053717

prune6.0ms

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: 0.0b

Counts
2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity_binary64
3×add-log-exp_binary64
2×distribute-lft-out_binary64 times-frac_binary64
1×flip3-+_binary64 pow1_binary64 frac-add_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
1 → 14
Calls
1 calls:
12.0ms
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

simplify57.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05015163

prune15.0ms

Filtered
12 candidates to 17 candidates (-41.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New15217
Fresh011
Picked011
Done000
Total15419

Merged error: 0b

Counts
19 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
0.5b
(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
0.5b
(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
0.5b
(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity_binary64
43×cbrt-prod_binary64
33×cbrt-div_binary64
23×add-sqr-sqrt_binary64
16×distribute-lft-out_binary64
15×add-cube-cbrt_binary64
14×times-frac_binary64
11×flip3-+_binary64 pow1_binary64 frac-add_binary64 flip-+_binary64
10×swap-sqr_binary64
9×pow1/3_binary64 frac-times_binary64
8×associate-*r*_binary64 associate-*l*_binary64
6×add-exp-log_binary64
4×add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64
3×associate-*r/_binary64 associate-*l/_binary64
2×pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
1×cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 111
Calls
4 calls:
31.0ms
(*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
12.0ms
(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
12.0ms
(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
12.0ms
(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

series96.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
25.0ms
(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
22.0ms
(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
22.0ms
(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

simplify42.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
049992036
149992036

prune131.0ms

Filtered
88 candidates to 123 candidates (-39.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1230123
Fresh022
Picked011
Done011
Total1234127

Merged error: 0b

Counts
127 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

14.3b
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log_binary64 add-cbrt-cube_binary64
7×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
5×associate-/l*_binary64 times-frac_binary64
3×cbrt-unprod_binary64 cbrt-undiv_binary64 add-cube-cbrt_binary64 prod-exp_binary64 div-exp_binary64
2×associate-/l/_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
1×associate-/r*_binary64 add-log-exp_binary64 pow1_binary64 flip3--_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 flip--_binary64
Counts
1 → 30
Calls
1 calls:
9.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))

simplify41.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05910311

prune14.0ms

Filtered
19 candidates to 33 candidates (-73.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New33033
Fresh011
Picked011
Done022
Total33437

Merged error: 0b

Counts
37 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
0.1b
(sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
0.1b
(sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
0.3b
(*.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity_binary64
40×sqrt-prod_binary64
30×sqrt-div_binary64
28×add-sqr-sqrt_binary64
21×pow1_binary64
16×distribute-lft-out_binary64
14×add-cube-cbrt_binary64 times-frac_binary64
12×swap-sqr_binary64
11×flip3-+_binary64 frac-add_binary64 flip-+_binary64
10×pow1/2_binary64 sqrt-pow1_binary64
9×frac-times_binary64
8×associate-*r*_binary64 associate-*l*_binary64
6×add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
5×pow-prod-up_binary64
4×unswap-sqr_binary64
3×pow-prod-down_binary64 associate-*r/_binary64 pow-sqr_binary64 associate-*l/_binary64
2×rem-sqrt-square_binary64
1×cbrt-unprod_binary64 rem-square-sqrt_binary64 pow-plus_binary64 sqrt-unprod_binary64 prod-exp_binary64 +-commutative_binary64 pow2_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 122
Calls
4 calls:
13.0ms
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
12.0ms
(sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
13.0ms
(sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
34.0ms
(*.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))

series45.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
15.0ms
(sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
20.0ms
(sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
5.0ms
(*.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))

simplify60.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049411616
149411616

prune68.0ms

Filtered
74 candidates to 134 candidates (-81.1%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1340134
Fresh000
Picked011
Done033
Total1344138

Merged error: 0b

Counts
138 → 4

regimes114.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
087
187

end0.0ms

sample386.0ms

Algorithm
intervals
Results
247.0ms8000×body80valid
0.0ms1×body80invalid

Profiling

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