Details

Time bar (total: 1.2s)

analyze99.0ms (8.3%)

Algorithm
1×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

sample14.0ms (1.1%)

Algorithm
1×intervals
Results
7.0ms256×body80valid

simplify76.0ms (6.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
048789
148789

prune5.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 17.0b

Counts
2 → 1

localize9.0ms (0.7%)

Local error

Found 1 expressions with local error:

16.5b
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2.0) y))

rewrite10.0ms (0.8%)

Algorithm
1×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 2.0) y))

series10.0ms (0.8%)

Counts
1 → 3
Calls

1 calls:

10.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2.0) y))

simplify36.0ms (3%)

Algorithm
1×egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
06066350

prune48.0ms (4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New30333
Fresh000
Picked101
Done000
Total31334

Merged error: 0b

Counts
34 → 3

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b
(-.f64 (/.f64 0.5 y) (/.f64 0.5 x))

rewrite13.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
15×add-sqr-sqrt_binary64
11×*-un-lft-identity_binary64
10×times-frac_binary64
5×distribute-lft-out--_binary64
4×difference-of-squares_binary64
3×add-log-exp_binary64 add-cube-cbrt_binary64
2×div-inv_binary64
1×sub-neg_binary64 pow1_binary64 flip3--_binary64 diff-log_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip--_binary64 frac-sub_binary64
Counts
1 → 21
Calls

1 calls:

12.0ms
(-.f64 (/.f64 0.5 y) (/.f64 0.5 x))

series6.0ms (0.5%)

Counts
1 → 3
Calls

1 calls:

6.0ms
(-.f64 (/.f64 0.5 y) (/.f64 0.5 x))

simplify46.0ms (3.8%)

Algorithm
1×egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04896274
14896274

prune32.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New24024
Fresh022
Picked011
Done000
Total24327

Merged error: 0b

Counts
27 → 3

localize6.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 x y) (*.f64 x 2.0))
6.4b
(/.f64 (/.f64 (-.f64 x y) (*.f64 x 2.0)) y)

rewrite19.0ms (1.6%)

Algorithm
1×rewrite-expression-head
Rules
52×times-frac_binary64
34×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
22×add-cube-cbrt_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
14×associate-/l*_binary64
7×cbrt-undiv_binary64 div-exp_binary64
6×difference-of-squares_binary64 distribute-lft-out--_binary64 div-inv_binary64
4×associate-/r*_binary64
3×associate-/l/_binary64 div-sub_binary64
2×add-log-exp_binary64 pow1_binary64 cbrt-unprod_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64
1×flip3--_binary64 flip--_binary64
Counts
2 → 85
Calls

2 calls:

9.0ms
(/.f64 (/.f64 (-.f64 x y) (*.f64 x 2.0)) y)
7.0ms
(/.f64 (-.f64 x y) (*.f64 x 2.0))

series17.0ms (1.4%)

Counts
2 → 6
Calls

2 calls:

10.0ms
(/.f64 (/.f64 (-.f64 x y) (*.f64 x 2.0)) y)
7.0ms
(/.f64 (-.f64 x y) (*.f64 x 2.0))

simplify44.0ms (3.7%)

Algorithm
1×egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
064701077

prune88.0ms (7.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New90191
Fresh101
Picked011
Done011
Total91394

Merged error: 0b

Counts
94 → 3

localize7.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 x y) (*.f64 x 2.0))
6.5b
(*.f64 (/.f64 (-.f64 x y) (*.f64 x 2.0)) (/.f64 1 y))

rewrite24.0ms (2%)

Algorithm
1×rewrite-expression-head
Rules
46×add-exp-log_binary64
28×add-cbrt-cube_binary64
26×add-sqr-sqrt_binary64
21×times-frac_binary64
20×*-un-lft-identity_binary64
17×prod-exp_binary64
16×div-exp_binary64
13×associate-*r*_binary64 add-cube-cbrt_binary64
9×cbrt-unprod_binary64 cbrt-undiv_binary64 associate-*l*_binary64
5×associate-/l*_binary64
4×pow1_binary64
3×1-exp_binary64 unswap-sqr_binary64 difference-of-squares_binary64 rec-exp_binary64 distribute-lft-out--_binary64 div-inv_binary64
2×associate-/l/_binary64 add-log-exp_binary64
1×pow-prod-down_binary64 associate-/r*_binary64 flip3--_binary64 associate-*r/_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 un-div-inv_binary64 flip--_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
2 → 84
Calls

2 calls:

14.0ms
(*.f64 (/.f64 (-.f64 x y) (*.f64 x 2.0)) (/.f64 1 y))
7.0ms
(/.f64 (-.f64 x y) (*.f64 x 2.0))

series20.0ms (1.6%)

Counts
2 → 6
Calls

2 calls:

12.0ms
(*.f64 (/.f64 (-.f64 x y) (*.f64 x 2.0)) (/.f64 1 y))
7.0ms
(/.f64 (-.f64 x y) (*.f64 x 2.0))

simplify59.0ms (4.9%)

Algorithm
1×egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05020885

prune86.0ms (7.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New90090
Fresh000
Picked011
Done022
Total90393

Merged error: 0b

Counts
93 → 3

regimes68.0ms (5.7%)

Accuracy

Total 0.0b remaining (65.6%)

Threshold costs 0.0b (65.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0237
1237

end0.0ms (0%)

sample352.0ms (29.4%)

Algorithm
1×intervals
Results
225.0ms8000×body80valid
0.0ms1×body80invalid

Profiling

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