Details

Time bar (total: 1.4s)

analyze35.0ms

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
0%99.9%0.1%5
50%50%0.1%6
68.7%31.2%0.1%7
81.2%18.7%0.1%8
89%10.9%0.1%9
92.1%7.8%0.1%10
95.6%4.3%0.1%11
96.4%3.5%0.1%12
98%1.9%0.1%13
98.2%1.7%0.1%14

sample12.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify126.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (117.0ms)

IterNodesCost
0475413
1475413

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.6b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

13.2b
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x 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-/r*_binary64 times-frac_binary64
3×cbrt-unprod_binary64 cbrt-undiv_binary64 add-cube-cbrt_binary64 prod-exp_binary64 div-exp_binary64
2×associate-/r/_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
1×add-log-exp_binary64 pow1_binary64 flip3--_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64 flip--_binary64
Counts
1 → 29
Calls
1 calls:
9.0ms
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))

simplify93.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
04962458
14962458

prune32.0ms

Filtered
22 candidates to 32 candidates (-45.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New28432
Fresh000
Picked011
Done000
Total28533

Merged error: 0.0b

Counts
33 → 5

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
0.2b
(/.f64 1 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity_binary64
25×times-frac_binary64
12×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
10×distribute-lft-out_binary64
6×add-exp-log_binary64
5×associate-/r*_binary64
4×add-log-exp_binary64 add-cbrt-cube_binary64
3×pow1_binary64 associate-/r/_binary64 associate-/l*_binary64
2×flip3-+_binary64 frac-add_binary64 div-exp_binary64 flip-+_binary64
1×1-exp_binary64 cbrt-undiv_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 rec-exp_binary64 div-inv_binary64 +-commutative_binary64 pow-flip_binary64 sum-log_binary64
Counts
2 → 56
Calls
2 calls:
21.0ms
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
25.0ms
(/.f64 1 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

series57.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
41.0ms
(/.f64 1 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

simplify77.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
06221983

prune36.0ms

Filtered
34 candidates to 62 candidates (-82.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New61162
Fresh033
Picked011
Done011
Total61667

Merged error: 0b

Counts
67 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 x y) y)
6.6b
(/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
64×times-frac_binary64
50×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
30×add-cube-cbrt_binary64
22×associate-/r*_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
10×difference-of-squares_binary64 distribute-lft-out--_binary64
7×cbrt-undiv_binary64 div-exp_binary64
6×associate-/l*_binary64
4×div-inv_binary64
2×associate-/l/_binary64 add-log-exp_binary64 pow1_binary64 cbrt-unprod_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64
1×flip3--_binary64 associate-/r/_binary64 div-sub_binary64 flip--_binary64
Counts
2 → 96
Calls
2 calls:
6.0ms
(/.f64 (-.f64 x y) y)
11.0ms
(/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y))

series64.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/.f64 (-.f64 x y) y)
45.0ms
(/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y))

simplify70.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
061291605

prune49.0ms

Filtered
71 candidates to 102 candidates (-43.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1011102
Fresh303
Picked011
Done112
Total1053108

Merged error: 0b

Counts
108 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/.f64 x (-.f64 x y))
7.3b
(*.f64 (/.f64 x (-.f64 x y)) (*.f64 2 y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
30×times-frac_binary64
21×add-cube-cbrt_binary64 associate-*l*_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
7×pow1_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
6×cbrt-unprod_binary64 prod-exp_binary64
5×associate-/r*_binary64
4×associate-/r/_binary64
3×pow-prod-down_binary64 cbrt-undiv_binary64 associate-/l*_binary64 div-exp_binary64
2×add-log-exp_binary64 flip3--_binary64 div-inv_binary64 flip--_binary64
1×associate-*r*_binary64 clear-num_binary64 frac-2neg_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
2 → 78
Calls
2 calls:
5.0ms
(/.f64 x (-.f64 x y))
10.0ms
(*.f64 (/.f64 x (-.f64 x y)) (*.f64 2 y))

series75.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/.f64 x (-.f64 x y))
48.0ms
(*.f64 (/.f64 x (-.f64 x y)) (*.f64 2 y))

simplify79.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
057841133

prune41.0ms

Filtered
59 candidates to 84 candidates (-42.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh000
Picked011
Done022
Total84387

Merged error: 0b

Counts
87 → 3

regimes15.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01313
11313

end0.0ms

sample338.0ms

Algorithm
intervals
Results
216.0ms8000×body80valid

Profiling

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