Details

analyze76.0ms

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

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5284	17

prune3.0ms

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: 18.6b

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) 1.0))
18.3b	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1.0)))

rewrite57.0ms

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))
21.0ms	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1.0))
19.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1.0)))

series40.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(*.f64 (+.f64 x y) (+.f64 x y))
11.0ms	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1.0))
24.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1.0)))

simplify69.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5000	2686

prune166.0ms

Filtered

92 candidates to 149 candidates (-62.0%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	136	13	149
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	136	14	150

Merged error: 8.1b

Counts

150 → 14

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 x y))
0.6b	(cbrt.f64 (+.f64 x y))
0.7b	(pow.f64 (cbrt.f64 (+.f64 x y)) 4)
18.3b	(/.f64 (.f64 x y) (.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 4) (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) (+.f64 (+.f64 x y) 1.0)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log_binary64`
40×	`cbrt-div_binary64` `prod-exp_binary64`
32×	`associate-*r/_binary64` `add-cbrt-cube_binary64`
29×	`flip3-+_binary64` `flip-+_binary64`
28×	`frac-times_binary64`
26×	`associate-/r/_binary64`
16×	`cbrt-unprod_binary64` `div-exp_binary64`
15×	`*-un-lft-identity_binary64`
14×	`associate-*l/_binary64`
12×	`cbrt-prod_binary64`
9×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
8×	`cbrt-undiv_binary64`
7×	`unpow-prod-down_binary64`
5×	`pow-to-exp_binary64` `pow1_binary64` `pow-exp_binary64`
4×	`add-log-exp_binary64`
3×	`pow-unpow_binary64` `distribute-lft-out_binary64` `pow1/3_binary64`
2×	`pow-pow_binary64`
1×	`associate-/r_binary64` `sqr-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64`

Counts

4 → 113

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 x y))
3.0ms	(cbrt.f64 (+.f64 x y))
7.0ms	(pow.f64 (cbrt.f64 (+.f64 x y)) 4)
29.0ms	(/.f64 (.f64 x y) (.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 4) (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) (+.f64 (+.f64 x y) 1.0)))

series177.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(cbrt.f64 (+.f64 x y))
32.0ms	(cbrt.f64 (+.f64 x y))
80.0ms	(pow.f64 (cbrt.f64 (+.f64 x y)) 4)
30.0ms	(/.f64 (.f64 x y) (.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 4) (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) (+.f64 (+.f64 x y) 1.0)))

simplify73.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4992	1976
1	4992	1976

prune153.0ms

Filtered

82 candidates to 125 candidates (-52.4%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	118	7	125
Fresh	1	11	12
Picked	0	1	1
Done	0	1	1
Total	119	20	139

Merged error: 5.7b

Counts

139 → 20

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 6)) (/.f64 y (+.f64 (+.f64 x y) 1.0)))
0.6b	(cbrt.f64 (+.f64 x y))
0.6b	(pow.f64 (cbrt.f64 (+.f64 x y)) 6)
18.4b	(/.f64 x (pow.f64 (cbrt.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`
62×	`add-cube-cbrt_binary64`
60×	`unpow-prod-down_binary64`
38×	`cbrt-prod_binary64`
37×	`associate-l_binary64`
34×	`add-exp-log_binary64`
21×	`associate-r_binary64`
18×	`distribute-lft-out_binary64` `add-cbrt-cube_binary64`
13×	`div-exp_binary64`
11×	`associate-/r*_binary64`
10×	`sqr-pow_binary64` `unswap-sqr_binary64`
8×	`prod-exp_binary64`
7×	`pow1_binary64`
5×	`cbrt-undiv_binary64`
4×	`pow-to-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `pow-exp_binary64`
3×	`pow-unpow_binary64` `associate-/l*_binary64` `div-inv_binary64`
2×	`cbrt-div_binary64` `flip3-+_binary64` `pow1/3_binary64` `pow-pow_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 189

Calls

4 calls:

30.0ms	(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 6)) (/.f64 y (+.f64 (+.f64 x y) 1.0)))
3.0ms	(cbrt.f64 (+.f64 x y))
5.0ms	(pow.f64 (cbrt.f64 (+.f64 x y)) 6)
8.0ms	(/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 6))

series124.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 6)) (/.f64 y (+.f64 (+.f64 x y) 1.0)))
35.0ms	(cbrt.f64 (+.f64 x y))
43.0ms	(pow.f64 (cbrt.f64 (+.f64 x y)) 6)
16.0ms	(/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 6))

simplify57.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5031	2641

prune201.0ms

Filtered

125 candidates to 201 candidates (-60.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	189	12	201
Fresh	16	1	17
Picked	1	0	1
Done	1	1	2
Total	207	14	221

Merged error: 0.0b

Counts

221 → 14

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 y (+.f64 (+.f64 x y) 1.0))
0.0b	(/.f64 1 (+.f64 x y))
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) 1.0)))

rewrite63.0ms

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:

8.0ms	(/.f64 y (+.f64 (+.f64 x y) 1.0))
6.0ms	(/.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) 1.0)))

series52.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(/.f64 y (+.f64 (+.f64 x y) 1.0))
5.0ms	(/.f64 1 (+.f64 x y))
11.0ms	(*.f64 (/.f64 1 (+.f64 x y)) (/.f64 x (+.f64 x y)))
28.0ms	(.f64 (.f64 (/.f64 1 (+.f64 x y)) (/.f64 x (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) 1.0)))

simplify70.0ms

Algorithm

egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5010	2595

prune135.0ms

Filtered

118 candidates to 219 candidates (-85.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	213	6	219
Fresh	8	4	12
Picked	1	0	1
Done	0	1	1
Total	222	11	233

Merged error: 0b

Counts

233 → 11

regimes168.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	17
1	12	17

end0.0ms

sample404.0ms

Algorithm

intervals

Results

278.0ms

8000×

body

valid

Details

analyze76.0ms

sample15.0ms

simplify58.0ms

prune3.0ms

localize8.0ms

rewrite57.0ms

series40.0ms

simplify69.0ms

prune166.0ms

localize13.0ms

rewrite49.0ms

series177.0ms

simplify73.0ms

prune153.0ms

localize10.0ms

rewrite55.0ms

series124.0ms

simplify57.0ms

prune201.0ms

localize11.0ms

rewrite63.0ms

series52.0ms

simplify70.0ms

prune135.0ms

regimes168.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample404.0ms

Profiling