Details

analyze779.0ms

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

sample216.0ms

Algorithm

intervals

Results

110.0ms	83×	body	1280	valid
53.0ms	56×	body	640	valid
16.0ms	84×	body	80	valid
14.0ms	23×	body	320	valid
4.0ms	10×	body	160	valid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5953	77

prune26.0ms

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: 0.4b

Counts

2 → 2

localize49.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
0.6b	(.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)))
1.0b	(-.f64 3 (sqrt.f64 5))
1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_3769`
14×	`*-un-lft-identity_binary64_3784`
11×	`add-exp-log_binary64_3748` `pow1_binary64_3730` `add-cbrt-cube_binary64_3756`
9×	`associate-l_binary64_3844`
8×	`add-log-exp_binary64_3749` `sub-neg_binary64_3788` `add-cube-cbrt_binary64_3755`
7×	`associate-r_binary64_3843`
6×	`associate-*r/_binary64_3845`
5×	`sqrt-prod_binary64_3763` `difference-of-squares_binary64_3813` `distribute-lft-in_binary64_3826` `distribute-rgt-in_binary64_3827`
4×	`cbrt-unprod_binary64_3753` `prod-exp_binary64_3735` `pow-prod-down_binary64_3711` `flip3--_binary64_3783` `flip--_binary64_3810`
3×	`distribute-lft-out--_binary64_3829`
2×	`*-commutative_binary64_3852` `unswap-sqr_binary64_3812` `diff-log_binary64_3700`
1×	`times-frac_binary64_3779` `diff-cos_binary64_3651`

Counts

4 → 81

Calls

4 calls:

11.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
10.0ms	(.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)))
5.0ms	(-.f64 3 (sqrt.f64 5))
8.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

series140.0ms

Counts

4 → 10

Calls

4 calls:

62.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
38.0ms	(.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)))
0.0ms	(-.f64 3 (sqrt.f64 5))
40.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

simplify86.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5212	1542

prune471.0ms

Filtered

61 candidates to 91 candidates (-49.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	85	6	91
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	86	7	93

Merged error: 0.1b

Counts

93 → 7

localize57.0ms

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 (cos.f64 y) (.f64 3/2 (-.f64 3 (sqrt.f64 5)))) (/.f64 (*.f64 (cos.f64 x) 6) (+.f64 (sqrt.f64 5) 1)))
0.5b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
1.0b	(-.f64 3 (sqrt.f64 5))
1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_3769`
13×	`*-un-lft-identity_binary64_3784`
10×	`add-log-exp_binary64_3749`
8×	`sub-neg_binary64_3788`
7×	`add-cube-cbrt_binary64_3755`
6×	`add-exp-log_binary64_3748` `associate-l_binary64_3844` `pow1_binary64_3730` `add-cbrt-cube_binary64_3756` `associate-r/_binary64_3845` `associate-r*_binary64_3843`
5×	`sqrt-prod_binary64_3763` `difference-of-squares_binary64_3813` `distribute-lft-in_binary64_3826` `distribute-rgt-in_binary64_3827`
4×	`flip3--_binary64_3783` `flip--_binary64_3810` `associate-+l+_binary64_3836`
3×	`distribute-lft-out--_binary64_3829`
2×	`unswap-sqr_binary64_3812` `frac-add_binary64_3774` `diff-log_binary64_3700`
1×	`+-commutative_binary64_3851` `*-commutative_binary64_3852` `cbrt-unprod_binary64_3753` `times-frac_binary64_3779` `prod-exp_binary64_3735` `pow-prod-down_binary64_3711` `diff-cos_binary64_3651` `flip-+_binary64_3809` `flip3-+_binary64_3782` `sum-log_binary64_3699`

Counts

4 → 74

Calls

4 calls:

15.0ms	(+.f64 (.f64 (cos.f64 y) (.f64 3/2 (-.f64 3 (sqrt.f64 5)))) (/.f64 (*.f64 (cos.f64 x) 6) (+.f64 (sqrt.f64 5) 1)))
12.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
4.0ms	(-.f64 3 (sqrt.f64 5))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

series230.0ms

Counts

4 → 10

Calls

4 calls:

120.0ms	(+.f64 (.f64 (cos.f64 y) (.f64 3/2 (-.f64 3 (sqrt.f64 5)))) (/.f64 (*.f64 (cos.f64 x) 6) (+.f64 (sqrt.f64 5) 1)))
64.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
0.0ms	(-.f64 3 (sqrt.f64 5))
46.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

simplify51.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5159	1916

prune503.0ms

Filtered

65 candidates to 84 candidates (-29.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	83	8	91

Merged error: 0.1b

Counts

91 → 8

localize62.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
0.3b	(+.f64 (.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 y)) (.f64 (cos.f64 x) (+.f64 3 (sqrt.f64 5))))
0.5b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_3769`
14×	`associate-r/_binary64_3845` `-un-lft-identity_binary64_3784`
12×	`associate-r_binary64_3843`
11×	`add-exp-log_binary64_3748` `pow1_binary64_3730` `add-cbrt-cube_binary64_3756`
8×	`add-log-exp_binary64_3749` `flip3--_binary64_3783` `flip--_binary64_3810` `add-cube-cbrt_binary64_3755`
7×	`associate-l_binary64_3844`
6×	`associate-*l/_binary64_3846`
5×	`difference-of-squares_binary64_3813` `flip-+_binary64_3809` `flip3-+_binary64_3782` `sub-neg_binary64_3788`
4×	`cbrt-unprod_binary64_3753` `prod-exp_binary64_3735` `sqrt-prod_binary64_3763` `pow-prod-down_binary64_3711` `frac-times_binary64_3776` `frac-add_binary64_3774`
3×	`distribute-lft-out--_binary64_3829` `distribute-lft-in_binary64_3826` `distribute-rgt-in_binary64_3827`
2×	`*-commutative_binary64_3852` `times-frac_binary64_3779` `unswap-sqr_binary64_3812` `associate-+r+_binary64_3835`
1×	`+-commutative_binary64_3851` `diff-cos_binary64_3651` `diff-log_binary64_3700` `sum-log_binary64_3699`

Counts

4 → 91

Calls

4 calls:

24.0ms	(.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
11.0ms	(+.f64 (.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 y)) (.f64 (cos.f64 x) (+.f64 3 (sqrt.f64 5))))
13.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

series325.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
109.0ms	(+.f64 (.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 y)) (.f64 (cos.f64 x) (+.f64 3 (sqrt.f64 5))))
64.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
41.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

simplify90.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4971	2951
1	4971	2951

prune668.0ms

Filtered

78 candidates to 103 candidates (-32.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	100	3	103
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	102	9	111

Merged error: 0.1b

Counts

111 → 9

localize63.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
0.3b	(+.f64 (.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 y)) (.f64 (cos.f64 x) (+.f64 3 (sqrt.f64 5))))
0.4b	(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))))
1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_3769`
16×	`associate-*r/_binary64_3845`
14×	`*-un-lft-identity_binary64_3784`
13×	`flip3--_binary64_3783` `flip--_binary64_3810`
12×	`associate-l_binary64_3844`
11×	`add-exp-log_binary64_3748` `pow1_binary64_3730` `add-cbrt-cube_binary64_3756`
8×	`add-log-exp_binary64_3749` `associate-*l/_binary64_3846` `frac-times_binary64_3776` `add-cube-cbrt_binary64_3755`
7×	`associate-r_binary64_3843` `sub-neg_binary64_3788`
6×	`distribute-lft-in_binary64_3826` `distribute-rgt-in_binary64_3827`
5×	`difference-of-squares_binary64_3813` `flip-+_binary64_3809` `flip3-+_binary64_3782`
4×	`cbrt-unprod_binary64_3753` `prod-exp_binary64_3735` `pow-prod-down_binary64_3711` `frac-add_binary64_3774`
3×	`sqrt-prod_binary64_3763` `distribute-lft-out--_binary64_3829`
2×	`*-commutative_binary64_3852` `times-frac_binary64_3779` `associate-+r+_binary64_3835`
1×	`+-commutative_binary64_3851` `diff-cos_binary64_3651` `unswap-sqr_binary64_3812` `diff-log_binary64_3700` `sum-log_binary64_3699`

Counts

4 → 98

Calls

4 calls:

18.0ms	(*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
11.0ms	(+.f64 (.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 y)) (.f64 (cos.f64 x) (+.f64 3 (sqrt.f64 5))))
21.0ms	(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

series355.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
107.0ms	(+.f64 (.f64 (+.f64 (sqrt.f64 5) 1) (cos.f64 y)) (.f64 (cos.f64 x) (+.f64 3 (sqrt.f64 5))))
116.0ms	(.f64 (sqrt.f64 2) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))))
43.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

simplify76.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5056	3492

prune669.0ms

Filtered

87 candidates to 110 candidates (-26.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	110	9	119

Merged error: 0.1b

Counts

119 → 9

regimes418.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify11.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	88	95
1	88	95

end0.0ms

sample6.8s

Algorithm

intervals

Results

3.8s	2704×	body	1280	valid
1.7s	1896×	body	640	valid
471.0ms	786×	body	320	valid
434.0ms	2274×	body	80	valid
135.0ms	340×	body	160	valid

Details

analyze779.0ms

sample216.0ms

simplify44.0ms

prune26.0ms

localize49.0ms

rewrite37.0ms

series140.0ms

simplify86.0ms

prune471.0ms

localize57.0ms

rewrite38.0ms

series230.0ms

simplify51.0ms

prune503.0ms

localize62.0ms

rewrite57.0ms

series325.0ms

simplify90.0ms

prune668.0ms

localize63.0ms

rewrite58.0ms

series355.0ms

simplify76.0ms

prune669.0ms

regimes418.0ms

bsearch0.0ms

simplify11.0ms

end0.0ms

sample6.8s

Profiling