Details

analyze39.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	783	10
1	783	10

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`distribute-lft-out_binary64`
5×	`associate-/r*_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`

Counts

1 → 45

Calls

1 calls:

13.0ms

(/.f64 (+.f64 x y) (-.f64 x y))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(/.f64 (+.f64 x y) (-.f64 x y))

simplify80.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5255	802

prune31.0ms

Filtered

32 candidates to 48 candidates (-50.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	5	49

Merged error: 0.0b

Counts

49 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 x y) (-.f64 x y))
0.0b	(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)
0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity_binary64`
100×	`times-frac_binary64`
98×	`add-sqr-sqrt_binary64`
58×	`cbrt-prod_binary64`
56×	`add-cube-cbrt_binary64`
52×	`unpow-prod-down_binary64` `cube-prod_binary64`
26×	`distribute-lft-out_binary64`
21×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`associate-/r/_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r*_binary64` `flip3--_binary64` `div-inv_binary64` `flip--_binary64`
4×	`pow1_binary64` `associate-/l*_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `sqr-pow_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `flip3-+_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64`

Counts

3 → 185

Calls

3 calls:

8.0ms	(/.f64 (+.f64 x y) (-.f64 x y))
11.0ms	(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)
11.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))

series155.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/.f64 (+.f64 x y) (-.f64 x y))
60.0ms	(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)
54.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))

simplify79.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5415	3741

prune68.0ms

Filtered

83 candidates to 194 candidates (-133.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	193	1	194
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	194	5	199

Merged error: 0b

Counts

199 → 5

localize6.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

316×	`*-un-lft-identity_binary64`
191×	`times-frac_binary64`
188×	`sqrt-prod_binary64`
187×	`add-sqr-sqrt_binary64`
88×	`add-cube-cbrt_binary64`
55×	`distribute-lft-out_binary64`
53×	`swap-sqr_binary64`
46×	`distribute-lft-out--_binary64`
34×	`difference-of-squares_binary64`
29×	`associate-r_binary64` `associate-l_binary64`
20×	`pow1_binary64`
14×	`associate-/r/_binary64`
10×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64`
8×	`associate-/l*_binary64`
7×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
5×	`pow-prod-up_binary64` `sqrt-div_binary64`
4×	`associate-/l/_binary64` `add-log-exp_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`flip3-+_binary64` `cbrt-undiv_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `associate-r/_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 276

Calls

4 calls:

8.0ms	(sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
8.0ms	(/.f64 (+.f64 x y) (-.f64 x y))
8.0ms	(/.f64 (+.f64 x y) (-.f64 x y))
31.0ms	(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))

series244.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
43.0ms	(/.f64 (+.f64 x y) (-.f64 x y))
41.0ms	(/.f64 (+.f64 x y) (-.f64 x y))
53.0ms	(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))

simplify123.0ms

Algorithm

egg-herbie

Counts

288 → 288

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4938	5410
1	4938	5410

prune179.0ms

Filtered

156 candidates to 288 candidates (-84.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	288	0	288
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	288	5	293

Merged error: 0b

Counts

293 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3/2) (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3/2))
0.0b	(/.f64 (+.f64 x y) (-.f64 x y))
0.0b	(/.f64 (+.f64 x y) (-.f64 x y))
0.0b	(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3/2) (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3/2)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

288×	`*-un-lft-identity_binary64`
172×	`times-frac_binary64`
170×	`add-sqr-sqrt_binary64`
164×	`unpow-prod-down_binary64`
78×	`add-cube-cbrt_binary64`
52×	`swap-sqr_binary64`
50×	`distribute-lft-out_binary64`
42×	`distribute-lft-out--_binary64`
40×	`add-exp-log_binary64`
30×	`associate-r_binary64` `associate-l_binary64` `difference-of-squares_binary64`
16×	`unswap-sqr_binary64` `prod-exp_binary64` `pow-exp_binary64`
12×	`sqr-pow_binary64` `associate-/r/_binary64`
10×	`associate-/r*_binary64` `add-cbrt-cube_binary64` `div-exp_binary64`
8×	`pow-to-exp_binary64` `associate-/l*_binary64`
6×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
4×	`associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64`
2×	`flip3-+_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow-prod-up_binary64` `pow1/3_binary64` `pow-sqr_binary64` `cbrt-prod_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 256

Calls

4 calls:

37.0ms	(*.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3/2) (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3/2))
8.0ms	(/.f64 (+.f64 x y) (-.f64 x y))
9.0ms	(/.f64 (+.f64 x y) (-.f64 x y))
41.0ms	(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3/2) (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3/2)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(*.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3/2) (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3/2))
38.0ms	(/.f64 (+.f64 x y) (-.f64 x y))
39.0ms	(/.f64 (+.f64 x y) (-.f64 x y))
54.0ms	(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3/2) (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3/2)))

simplify130.0ms

Algorithm

egg-herbie

Counts

268 → 268

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4972	5789
1	4972	5789

prune210.0ms

Filtered

147 candidates to 268 candidates (-82.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	268	0	268
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	268	5	273

Merged error: 0b

Counts

273 → 5

regimes33.0ms

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)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms

sample299.0ms

Algorithm

intervals

Results

177.0ms

8000×

body

valid

Details

analyze39.0ms

sample11.0ms

simplify75.0ms

prune1.0ms

localize5.0ms

rewrite15.0ms

series45.0ms

simplify80.0ms

prune31.0ms

localize7.0ms

rewrite40.0ms

series155.0ms

simplify79.0ms

prune68.0ms

localize6.0ms

rewrite76.0ms

series244.0ms

simplify123.0ms

prune179.0ms

localize16.0ms

rewrite116.0ms

series199.0ms

simplify130.0ms

prune210.0ms

regimes33.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample299.0ms

Profiling