Details

analyze770.0ms

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
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
74.9%	25%	0.1%	9
74.9%	25%	0.1%	10
74.9%	25%	0.1%	11
74.9%	25%	0.1%	12
74.9%	25%	0.1%	13
74.9%	25%	0.1%	14

sample197.0ms

Algorithm

intervals

Results

103.0ms	81×	body	1280	valid
48.0ms	55×	body	640	valid
17.0ms	89×	body	80	valid
13.0ms	22×	body	320	valid
3.0ms	9×	body	160	valid

simplify24.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5018	48

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.3b

Counts

2 → 2

localize37.0ms

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
0.7b	(/.f64 (*.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)) 2/3)
1.0b	(-.f64 3 (sqrt.f64 5))
2.4b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-cube-cbrt_binary64`
8×	`add-log-exp_binary64`
6×	`pow1_binary64` `associate-r_binary64` `associate-l_binary64`
5×	`difference-of-squares_binary64` `sqrt-prod_binary64`
4×	`sub-neg_binary64` `flip3--_binary64` `associate-*r/_binary64` `times-frac_binary64` `flip--_binary64`
3×	`associate-/r*_binary64` `distribute-lft-out--_binary64`
2×	`associate-/l/_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `diff-cos_binary64` `-commutative_binary64`

Counts

4 → 80

Calls

4 calls:

13.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
9.0ms	(/.f64 (*.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)) 2/3)
5.0ms	(-.f64 3 (sqrt.f64 5))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

series31.0ms

Counts

4 → 10

Calls

4 calls:

14.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
8.0ms	(/.f64 (*.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)) 2/3)
0.0ms	(-.f64 3 (sqrt.f64 5))
9.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

simplify46.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4909	958
1	4909	958

prune204.0ms

Filtered

66 candidates to 90 candidates (-36.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	81	9	90
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	82	10	92

Merged error: 0.2b

Counts

92 → 10

localize32.0ms

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
1.0b	(-.f64 3 (sqrt.f64 5))
1.0b	(/.f64 (-.f64 (sqrt.f64 5) 1) 2/3)
2.4b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-sqr-sqrt_binary64`
49×	`*-un-lft-identity_binary64`
34×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
21×	`difference-of-squares_binary64` `sqrt-prod_binary64`
11×	`associate-/l*_binary64` `distribute-lft-out--_binary64`
8×	`add-log-exp_binary64` `difference-of-sqr-1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64` `associate-r_binary64` `associate-l_binary64`
4×	`sub-neg_binary64` `flip3--_binary64` `flip--_binary64`
3×	`associate-/r*_binary64`
2×	`associate-/l/_binary64` `diff-log_binary64` `associate-*r/_binary64` `unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-sub_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `diff-cos_binary64` `*-commutative_binary64`

Counts

4 → 119

Calls

4 calls:

12.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
7.0ms	(-.f64 3 (sqrt.f64 5))
8.0ms	(/.f64 (-.f64 (sqrt.f64 5) 1) 2/3)
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

series24.0ms

Counts

4 → 8

Calls

4 calls:

14.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
0.0ms	(-.f64 3 (sqrt.f64 5))
0.0ms	(/.f64 (-.f64 (sqrt.f64 5) 1) 2/3)
10.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

simplify56.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5011	1417

prune233.0ms

Filtered

78 candidates to 127 candidates (-62.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	122	5	127
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	125	12	137

Merged error: 0.1b

Counts

137 → 12

localize36.0ms

Local error

Found 4 expressions with local error:

1.0b	(/.f64 (-.f64 (sqrt.f64 5) 1) (sqrt.f64 2/3))
1.0b	(-.f64 3 (sqrt.f64 5))
1.0b	(*.f64 (/.f64 1 (sqrt.f64 2/3)) (/.f64 (-.f64 (sqrt.f64 5) 1) (sqrt.f64 2/3)))
2.4b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

246×	`add-sqr-sqrt_binary64`
172×	`times-frac_binary64`
152×	`*-un-lft-identity_binary64`
142×	`sqrt-prod_binary64`
77×	`add-cube-cbrt_binary64`
70×	`associate-r_binary64`
55×	`difference-of-squares_binary64`
28×	`add-exp-log_binary64` `distribute-lft-out--_binary64`
26×	`difference-of-sqr-1_binary64`
22×	`associate-l_binary64`
18×	`add-cbrt-cube_binary64`
15×	`unswap-sqr_binary64`
11×	`associate-/l*_binary64`
9×	`div-exp_binary64`
8×	`add-log-exp_binary64` `prod-exp_binary64`
6×	`associate-/r*_binary64` `pow1_binary64`
5×	`cbrt-undiv_binary64`
4×	`cbrt-unprod_binary64`
3×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64` `1-exp_binary64` `rec-exp_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `diff-cos_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 257

Calls

4 calls:

10.0ms	(/.f64 (-.f64 (sqrt.f64 5) 1) (sqrt.f64 2/3))
5.0ms	(-.f64 3 (sqrt.f64 5))
46.0ms	(*.f64 (/.f64 1 (sqrt.f64 2/3)) (/.f64 (-.f64 (sqrt.f64 5) 1) (sqrt.f64 2/3)))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

series9.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(/.f64 (-.f64 (sqrt.f64 5) 1) (sqrt.f64 2/3))
0.0ms	(-.f64 3 (sqrt.f64 5))
0.0ms	(*.f64 (/.f64 1 (sqrt.f64 2/3)) (/.f64 (-.f64 (sqrt.f64 5) 1) (sqrt.f64 2/3)))
9.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

simplify79.0ms

Algorithm

egg-herbie

Counts

263 → 263

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5233	3037

prune393.0ms

Filtered

116 candidates to 263 candidates (-126.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	260	3	263
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	266	9	275

Merged error: 0.1b

Counts

275 → 9

localize37.0ms

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
1.0b	(/.f64 (-.f64 (sqrt.f64 5) 1) (sqrt.f64 2/3))
1.0b	(*.f64 (/.f64 1 (sqrt.f64 2/3)) (/.f64 (-.f64 (sqrt.f64 5) 1) (sqrt.f64 2/3)))
2.4b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

254×	`add-sqr-sqrt_binary64`
173×	`times-frac_binary64`
155×	`*-un-lft-identity_binary64`
145×	`sqrt-prod_binary64`
80×	`add-cube-cbrt_binary64`
76×	`associate-r_binary64`
55×	`difference-of-squares_binary64`
30×	`add-exp-log_binary64`
28×	`associate-l_binary64` `distribute-lft-out--_binary64`
26×	`difference-of-sqr-1_binary64`
20×	`add-cbrt-cube_binary64`
17×	`unswap-sqr_binary64`
11×	`associate-/l*_binary64`
9×	`prod-exp_binary64` `div-exp_binary64`
8×	`pow1_binary64`
6×	`associate-/r*_binary64` `add-log-exp_binary64`
5×	`cbrt-unprod_binary64` `cbrt-undiv_binary64`
3×	`sub-neg_binary64` `flip3--_binary64` `associate-*r/_binary64` `div-inv_binary64` `flip--_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `1-exp_binary64` `rec-exp_binary64` `*-commutative_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `diff-cos_binary64` `associate-*l/_binary64`

Counts

4 → 272

Calls

4 calls:

12.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
10.0ms	(/.f64 (-.f64 (sqrt.f64 5) 1) (sqrt.f64 2/3))
42.0ms	(*.f64 (/.f64 1 (sqrt.f64 2/3)) (/.f64 (-.f64 (sqrt.f64 5) 1) (sqrt.f64 2/3)))
7.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

series23.0ms

Counts

4 → 8

Calls

4 calls:

14.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
0.0ms	(/.f64 (-.f64 (sqrt.f64 5) 1) (sqrt.f64 2/3))
0.0ms	(*.f64 (/.f64 1 (sqrt.f64 2/3)) (/.f64 (-.f64 (sqrt.f64 5) 1) (sqrt.f64 2/3)))
9.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

simplify66.0ms

Algorithm

egg-herbie

Counts

280 → 280

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5007	3513

prune437.0ms

Filtered

130 candidates to 280 candidates (-115.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	280	0	280
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	280	9	289

Merged error: 0.1b

Counts

289 → 9

regimes223.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	117	56
1	117	56

end0.0ms

sample6.5s

Algorithm

intervals

Results

3.6s	2764×	body	1280	valid
1.6s	1846×	body	640	valid
466.0ms	747×	body	320	valid
440.0ms	2302×	body	80	valid
137.0ms	341×	body	160	valid

Details

analyze770.0ms

sample197.0ms

simplify24.0ms

prune12.0ms

localize37.0ms

rewrite34.0ms

series31.0ms

simplify46.0ms

prune204.0ms

localize32.0ms

rewrite37.0ms

series24.0ms

simplify56.0ms

prune233.0ms

localize36.0ms

rewrite80.0ms

series9.0ms

simplify79.0ms

prune393.0ms

localize37.0ms

rewrite90.0ms

series23.0ms

simplify66.0ms

prune437.0ms

regimes223.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample6.5s

Profiling