Details

analyze70.0ms

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
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
46.8%	53.1%	0.1%	6
70.2%	29.7%	0.1%	7
76.5%	23.4%	0.1%	8
83.5%	16.4%	0.1%	9
87%	12.9%	0.1%	10
91.1%	8.8%	0.1%	11
93.2%	6.7%	0.1%	12
95.4%	4.5%	0.1%	13
96.5%	3.4%	0.1%	14

sample18.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4952	17
1	4952	17

prune2.0ms

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: 19.5b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (+.f64 x y))
0.1b	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
19.3b	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

60×	`flip3-+_binary64` `flip-+_binary64` `frac-times_binary64`
31×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
30×	`associate-*l/_binary64`
27×	`*-un-lft-identity_binary64`
26×	`associate-/r/_binary64`
18×	`associate-*r/_binary64`
15×	`pow1_binary64`
13×	`cbrt-unprod_binary64` `prod-exp_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`distribute-lft-out_binary64` `associate-r_binary64`
8×	`add-cube-cbrt_binary64`
6×	`swap-sqr_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
5×	`associate-l_binary64`
4×	`pow-prod-down_binary64`
3×	`add-log-exp_binary64`
2×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`associate-/r_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64` `pow-sqr_binary64` `pow2_binary64`

Counts

3 → 140

Calls

3 calls:

10.0ms	(*.f64 (+.f64 x y) (+.f64 x y))
17.0ms	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
19.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))

series36.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(*.f64 (+.f64 x y) (+.f64 x y))
9.0ms	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
23.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))

simplify74.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4977	2525
1	4977	2525

prune96.0ms

Filtered

92 candidates to 149 candidates (-62.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	141	8	149
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	141	9	150

Merged error: 10.1b

Counts

150 → 9

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify5.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune13.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	7	7
Picked	1	1
Done	1	1
Total	9	9

Merged error: 10.1b

Counts

9 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 y (+.f64 (+.f64 x y) 1))
0.1b	(*.f64 (/.f64 x (pow.f64 (sqrt.f64 (+.f64 x y)) 4)) (/.f64 y (+.f64 (+.f64 x y) 1)))
0.2b	(pow.f64 (sqrt.f64 (+.f64 x y)) 4)
9.4b	(/.f64 x (pow.f64 (sqrt.f64 (+.f64 x y)) 4))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

122×	`*-un-lft-identity_binary64`
109×	`times-frac_binary64`
102×	`add-sqr-sqrt_binary64`
71×	`add-cube-cbrt_binary64`
60×	`unpow-prod-down_binary64`
37×	`associate-l_binary64`
36×	`add-exp-log_binary64`
34×	`sqrt-prod_binary64`
29×	`distribute-lft-out_binary64`
21×	`associate-r_binary64`
20×	`add-cbrt-cube_binary64`
16×	`associate-/r*_binary64`
14×	`div-exp_binary64`
10×	`sqr-pow_binary64` `unswap-sqr_binary64`
8×	`pow1_binary64` `prod-exp_binary64`
6×	`cbrt-undiv_binary64` `associate-/l*_binary64`
4×	`pow-to-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64` `div-inv_binary64` `pow-exp_binary64`
3×	`pow-unpow_binary64` `pow-pow_binary64`
2×	`flip3-+_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `pow1/2_binary64` `sqrt-pow2_binary64` `associate-r/_binary64` `sqrt-pow1_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 214

Calls

4 calls:

8.0ms	(/.f64 y (+.f64 (+.f64 x y) 1))
29.0ms	(*.f64 (/.f64 x (pow.f64 (sqrt.f64 (+.f64 x y)) 4)) (/.f64 y (+.f64 (+.f64 x y) 1)))
5.0ms	(pow.f64 (sqrt.f64 (+.f64 x y)) 4)
8.0ms	(/.f64 x (pow.f64 (sqrt.f64 (+.f64 x y)) 4))

series115.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/.f64 y (+.f64 (+.f64 x y) 1))
57.0ms	(*.f64 (/.f64 x (pow.f64 (sqrt.f64 (+.f64 x y)) 4)) (/.f64 y (+.f64 (+.f64 x y) 1)))
19.0ms	(pow.f64 (sqrt.f64 (+.f64 x y)) 4)
32.0ms	(/.f64 x (pow.f64 (sqrt.f64 (+.f64 x y)) 4))

simplify79.0ms

Algorithm

egg-herbie

Counts

226 → 226

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4997	2874
1	4997	2874

prune141.0ms

Filtered

143 candidates to 226 candidates (-58.0%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	216	10	226
Fresh	5	1	6
Picked	1	0	1
Done	2	0	2
Total	224	11	235

Merged error: 0.0b

Counts

235 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

105×	`*-un-lft-identity_binary64` `add-exp-log_binary64`
73×	`times-frac_binary64`
65×	`add-sqr-sqrt_binary64`
61×	`add-cbrt-cube_binary64`
48×	`add-cube-cbrt_binary64`
42×	`prod-exp_binary64`
39×	`associate-r_binary64`
36×	`div-exp_binary64`
31×	`distribute-lft-out_binary64`
22×	`cbrt-unprod_binary64`
19×	`cbrt-undiv_binary64` `associate-l_binary64`
12×	`pow1_binary64`
10×	`associate-/r/_binary64`
9×	`associate-/r*_binary64`
7×	`1-exp_binary64` `rec-exp_binary64`
6×	`unswap-sqr_binary64` `associate-/l_binary64` `frac-times_binary64` `associate-l/_binary64`
5×	`flip3-+_binary64` `div-inv_binary64` `flip-+_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `associate-*r/_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `*-commutative_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64`

Counts

4 → 207

Calls

4 calls:

6.0ms	(/.f64 1 (+.f64 x y))
8.0ms	(/.f64 y (+.f64 (+.f64 x y) 1))
20.0ms	(*.f64 (/.f64 1 (+.f64 x y)) (/.f64 x (+.f64 x y)))
27.0ms	(.f64 (.f64 (/.f64 1 (+.f64 x y)) (/.f64 x (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) 1)))

series43.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/.f64 1 (+.f64 x y))
8.0ms	(/.f64 y (+.f64 (+.f64 x y) 1))
10.0ms	(*.f64 (/.f64 1 (+.f64 x y)) (/.f64 x (+.f64 x y)))
20.0ms	(.f64 (.f64 (/.f64 1 (+.f64 x y)) (/.f64 x (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) 1)))

simplify75.0ms

Algorithm

egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5017	2580

prune86.0ms

Filtered

118 candidates to 219 candidates (-85.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	213	6	219
Fresh	8	2	10
Picked	1	0	1
Done	0	0	0
Total	222	8	230

Merged error: 0.0b

Counts

230 → 8

regimes71.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	17
1	13	17

end0.0ms

sample405.0ms

Algorithm

intervals

Results

276.0ms

8000×

body

valid

Details

analyze70.0ms

sample18.0ms

simplify109.0ms

prune2.0ms

localize8.0ms

rewrite54.0ms

series36.0ms

simplify74.0ms

prune96.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify5.0ms

prune13.0ms

localize11.0ms

rewrite61.0ms

series115.0ms

simplify79.0ms

prune141.0ms

localize9.0ms

rewrite71.0ms

series43.0ms

simplify75.0ms

prune86.0ms

regimes71.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample405.0ms

Profiling