Details

analyze80.0ms

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

sample15.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify168.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (159.0ms)

Iter	Nodes	Cost
0	4954	25
1	4954	25

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: 17.2b

Counts

2 → 1

localize11.0ms

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))
17.1b	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))

rewrite52.0ms

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:

9.0ms	(*.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)))

series143.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(*.f64 (+.f64 x y) (+.f64 x y))
31.0ms	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
98.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))

simplify110.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4981	3756
1	4981	3756

prune132.0ms

Filtered

92 candidates to 149 candidates (-62.0%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	139	10	149
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	139	11	150

Merged error: 5.5b

Counts

150 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (pow.f64 (+.f64 x y) 6) (pow.f64 (+.f64 (+.f64 x y) 1) 3))
0.0b	(pow.f64 (+.f64 (+.f64 x y) 1) 3)
16.7b	(cbrt.f64 (*.f64 (pow.f64 (+.f64 x y) 6) (pow.f64 (+.f64 (+.f64 x y) 1) 3)))
17.1b	(/.f64 (.f64 x y) (cbrt.f64 (.f64 (pow.f64 (+.f64 x y) 6) (pow.f64 (+.f64 (+.f64 x y) 1) 3))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64`
31×	`add-sqr-sqrt_binary64`
22×	`add-exp-log_binary64`
21×	`unpow-prod-down_binary64`
16×	`associate-r_binary64`
14×	`add-cube-cbrt_binary64`
13×	`distribute-lft-out_binary64` `cube-prod_binary64`
12×	`unswap-sqr_binary64`
10×	`sqr-pow_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64`
8×	`associate-l_binary64` `cube-div_binary64`
7×	`pow-to-exp_binary64` `pow-exp_binary64`
6×	`associate-*r/_binary64`
5×	`pow1_binary64`
4×	`cbrt-div_binary64` `flip3-+_binary64` `associate-/r*_binary64` `add-log-exp_binary64` `times-frac_binary64` `flip-+_binary64`
3×	`pow-unpow_binary64` `cbrt-prod_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `div-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

4 → 121

Calls

4 calls:

17.0ms	(*.f64 (pow.f64 (+.f64 x y) 6) (pow.f64 (+.f64 (+.f64 x y) 1) 3))
7.0ms	(pow.f64 (+.f64 (+.f64 x y) 1) 3)
12.0ms	(cbrt.f64 (*.f64 (pow.f64 (+.f64 x y) 6) (pow.f64 (+.f64 (+.f64 x y) 1) 3)))
8.0ms	(/.f64 (.f64 x y) (cbrt.f64 (.f64 (pow.f64 (+.f64 x y) 6) (pow.f64 (+.f64 (+.f64 x y) 1) 3))))

series420.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(*.f64 (pow.f64 (+.f64 x y) 6) (pow.f64 (+.f64 (+.f64 x y) 1) 3))
29.0ms	(pow.f64 (+.f64 (+.f64 x y) 1) 3)
33.0ms	(cbrt.f64 (*.f64 (pow.f64 (+.f64 x y) 6) (pow.f64 (+.f64 (+.f64 x y) 1) 3)))
102.0ms	(/.f64 (.f64 x y) (cbrt.f64 (.f64 (pow.f64 (+.f64 x y) 6) (pow.f64 (+.f64 (+.f64 x y) 1) 3))))

simplify84.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5165	2937

prune108.0ms

Filtered

78 candidates to 133 candidates (-70.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	133	11	144

Merged error: 5.5b

Counts

144 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (+.f64 x y) 6)
0.2b	(*.f64 (/.f64 x (cbrt.f64 (pow.f64 (+.f64 x y) 6))) (/.f64 y (+.f64 (+.f64 x y) 1)))
16.7b	(/.f64 x (cbrt.f64 (pow.f64 (+.f64 x y) 6)))
19.5b	(cbrt.f64 (pow.f64 (+.f64 x y) 6))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

95×	`*-un-lft-identity_binary64`
94×	`times-frac_binary64`
93×	`add-sqr-sqrt_binary64`
70×	`cbrt-prod_binary64`
62×	`add-cube-cbrt_binary64`
38×	`unpow-prod-down_binary64`
37×	`associate-l_binary64`
21×	`associate-r_binary64`
19×	`add-exp-log_binary64`
18×	`distribute-lft-out_binary64`
15×	`add-cbrt-cube_binary64`
11×	`associate-/r*_binary64` `sqr-pow_binary64`
10×	`unswap-sqr_binary64`
7×	`pow1_binary64`
5×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
3×	`pow-unpow_binary64` `associate-/l*_binary64` `div-inv_binary64`
2×	`associate-/r/_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `flip3-+_binary64` `associate-r/_binary64` `pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64` `frac-times_binary64` `pow-exp_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 181

Calls

4 calls:

4.0ms	(pow.f64 (+.f64 x y) 6)
30.0ms	(*.f64 (/.f64 x (cbrt.f64 (pow.f64 (+.f64 x y) 6))) (/.f64 y (+.f64 (+.f64 x y) 1)))
7.0ms	(/.f64 x (cbrt.f64 (pow.f64 (+.f64 x y) 6)))
4.0ms	(cbrt.f64 (pow.f64 (+.f64 x y) 6))

series228.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(pow.f64 (+.f64 x y) 6)
95.0ms	(*.f64 (/.f64 x (cbrt.f64 (pow.f64 (+.f64 x y) 6))) (/.f64 y (+.f64 (+.f64 x y) 1)))
44.0ms	(/.f64 x (cbrt.f64 (pow.f64 (+.f64 x y) 6)))
14.0ms	(cbrt.f64 (pow.f64 (+.f64 x y) 6))

simplify99.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4972	4271
1	4972	4271

prune179.0ms

Filtered

136 candidates to 193 candidates (-41.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	189	4	193
Fresh	4	4	8
Picked	1	0	1
Done	1	1	2
Total	195	9	204

Merged error: 0.0b

Counts

204 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 y (+.f64 (+.f64 x y) 1))
0.0b	(/.f64 1 (+.f64 x y))
0.1b	(*.f64 (/.f64 1 (+.f64 x y)) (/.f64 x (+.f64 x y)))
0.2b	(.f64 (.f64 (/.f64 1 (+.f64 x y)) (/.f64 x (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) 1)))

rewrite66.0ms

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:

7.0ms	(/.f64 y (+.f64 (+.f64 x y) 1))
5.0ms	(/.f64 1 (+.f64 x y))
18.0ms	(*.f64 (/.f64 1 (+.f64 x y)) (/.f64 x (+.f64 x y)))
23.0ms	(.f64 (.f64 (/.f64 1 (+.f64 x y)) (/.f64 x (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) 1)))

series189.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/.f64 y (+.f64 (+.f64 x y) 1))
19.0ms	(/.f64 1 (+.f64 x y))
43.0ms	(*.f64 (/.f64 1 (+.f64 x y)) (/.f64 x (+.f64 x y)))
99.0ms	(.f64 (.f64 (/.f64 1 (+.f64 x y)) (/.f64 x (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) 1)))

simplify99.0ms

Algorithm

egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4976	3873
1	4976	3873

prune119.0ms

Filtered

118 candidates to 219 candidates (-85.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	215	4	219
Fresh	5	2	7
Picked	1	0	1
Done	0	1	1
Total	221	7	228

Merged error: 0b

Counts

228 → 7

regimes49.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	25
1	15	25

end0.0ms

sample402.0ms

Algorithm

intervals

Results

276.0ms

8000×

body

valid

Details

analyze80.0ms

sample15.0ms

simplify168.0ms

prune1.0ms

localize11.0ms

rewrite52.0ms

series143.0ms

simplify110.0ms

prune132.0ms

localize12.0ms

rewrite48.0ms

series420.0ms

simplify84.0ms

prune108.0ms

localize10.0ms

rewrite55.0ms

series228.0ms

simplify99.0ms

prune179.0ms

localize10.0ms

rewrite66.0ms

series189.0ms

simplify99.0ms

prune119.0ms

regimes49.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample402.0ms

Profiling