Details

analyze780.0ms

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

sample209.0ms

Algorithm

intervals

Results

108.0ms	83×	body	1280	valid
55.0ms	65×	body	640	valid
16.0ms	71×	body	80	valid
13.0ms	21×	body	320	valid
6.0ms	16×	body	160	valid

simplify23.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	4955	50
1	4955	50

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.5b

Counts

2 → 1

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16.0)))
0.4b	(*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)))
1.0b	(-.f64 3.0 (sqrt.f64 5.0))
1.5b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
12×	`associate-r_binary64`
11×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*r/_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
7×	`associate-l_binary64` `difference-of-squares_binary64`
6×	`sub-neg_binary64`
5×	`sqrt-prod_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `frac-times_binary64`
2×	`diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `times-frac_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`diff-cos_binary64`

Counts

4 → 88

Calls

4 calls:

19.0ms	(.f64 (.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16.0)))
12.0ms	(*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)))
5.0ms	(-.f64 3.0 (sqrt.f64 5.0))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

series56.0ms

Counts

4 → 10

Calls

4 calls:

27.0ms	(.f64 (.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16.0)))
19.0ms	(*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)))
0.0ms	(-.f64 3.0 (sqrt.f64 5.0))
10.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

simplify43.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5070	1524

prune207.0ms

Filtered

71 candidates to 98 candidates (-38.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	90	8	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	8	99

Merged error: 0.3b

Counts

99 → 8

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 (*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16.0))) (-.f64 (cos.f64 x) (cos.f64 y)))
0.3b	(.f64 (.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16.0)))
0.4b	(*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)))
1.5b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

36×	`associate-*r/_binary64`
35×	`flip3--_binary64` `flip--_binary64`
32×	`frac-times_binary64`
27×	`add-sqr-sqrt_binary64`
20×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`associate-r_binary64`
17×	`*-un-lft-identity_binary64`
16×	`associate-*l/_binary64`
10×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
9×	`add-cube-cbrt_binary64`
8×	`associate-l_binary64`
7×	`sub-neg_binary64`
6×	`add-log-exp_binary64` `difference-of-squares_binary64`
4×	`distribute-lft-out--_binary64` `sqrt-prod_binary64`
3×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `*-commutative_binary64`
2×	`unswap-sqr_binary64` `times-frac_binary64` `diff-cos_binary64`
1×	`diff-log_binary64`

Counts

4 → 126

Calls

4 calls:

32.0ms	(.f64 (.f64 (*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16.0))) (-.f64 (cos.f64 x) (cos.f64 y)))
19.0ms	(.f64 (.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16.0)))
12.0ms	(*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

series100.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(.f64 (.f64 (*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16.0))) (-.f64 (cos.f64 x) (cos.f64 y)))
28.0ms	(.f64 (.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16.0)))
15.0ms	(*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)))
11.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

simplify48.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5199	3491

prune345.0ms

Filtered

102 candidates to 138 candidates (-35.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	135	3	138
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	137	9	146

Merged error: 0.3b

Counts

146 → 9

localize36.0ms

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)))
1.0b	(-.f64 3.0 (sqrt.f64 5.0))
1.5b	(-.f64 (cos.f64 x) (cos.f64 y))
3.8b	(log.f64 (exp.f64 (*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
9×	`add-log-exp_binary64`
8×	`add-cube-cbrt_binary64`
7×	`pow1_binary64`
6×	`sub-neg_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
5×	`log-prod_binary64` `difference-of-squares_binary64` `sqrt-prod_binary64`
3×	`flip3--_binary64` `log-pow_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
2×	`diff-log_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `exp-sum_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `rem-log-exp_binary64` `prod-exp_binary64` `times-frac_binary64` `exp-to-pow_binary64` `diff-cos_binary64` `exp-prod_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

12.0ms	(*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)))
4.0ms	(-.f64 3.0 (sqrt.f64 5.0))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
3.0ms	(log.f64 (exp.f64 (*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)))))

series40.0ms

Counts

4 → 10

Calls

4 calls:

15.0ms	(*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)))
0.0ms	(-.f64 3.0 (sqrt.f64 5.0))
10.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
15.0ms	(log.f64 (exp.f64 (*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0)))))

simplify58.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4925	886
1	4925	886

prune163.0ms

Filtered

60 candidates to 83 candidates (-38.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	84	8	92

Merged error: 0.3b

Counts

92 → 8

localize38.0ms

Local error

Found 4 expressions with local error:

1.0b	(-.f64 3.0 (sqrt.f64 5.0))
1.5b	(-.f64 (cos.f64 x) (cos.f64 y))
4.2b	(log.f64 (sqrt.f64 (exp.f64 (*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0))))))
4.2b	(log.f64 (sqrt.f64 (exp.f64 (*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0))))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

16×	`log-prod_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64`
11×	`sqrt-prod_binary64`
10×	`add-log-exp_binary64` `log-pow_binary64`
8×	`pow1_binary64` `add-cube-cbrt_binary64`
6×	`sub-neg_binary64` `add-exp-log_binary64` `sqrt-pow1_binary64`
4×	`add-cbrt-cube_binary64` `exp-sum_binary64`
3×	`difference-of-squares_binary64`
2×	`pow1/2_binary64` `flip3--_binary64` `diff-log_binary64` `rem-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `exp-to-pow_binary64` `exp-prod_binary64`
1×	`diff-cos_binary64`

Counts

4 → 70

Calls

4 calls:

8.0ms	(-.f64 3.0 (sqrt.f64 5.0))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
4.0ms	(log.f64 (sqrt.f64 (exp.f64 (*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0))))))
4.0ms	(log.f64 (sqrt.f64 (exp.f64 (*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0))))))

series88.0ms

Counts

4 → 10

Calls

4 calls:

0.0ms	(-.f64 3.0 (sqrt.f64 5.0))
12.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
38.0ms	(log.f64 (sqrt.f64 (exp.f64 (*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0))))))
39.0ms	(log.f64 (sqrt.f64 (exp.f64 (*.f64 (sqrt.f64 2.0) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16.0))))))

simplify53.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4895	1030
1	4895	1030

prune158.0ms

Filtered

56 candidates to 80 candidates (-42.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	79	9	88

Merged error: 0.2b

Counts

88 → 9

regimes147.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	105	82
1	105	82

end0.0ms

sample6.6s

Algorithm

intervals

Results

3.7s	2762×	body	1280	valid
1.6s	1834×	body	640	valid
476.0ms	773×	body	320	valid
421.0ms	2240×	body	80	valid
158.0ms	391×	body	160	valid

Details

analyze780.0ms

sample209.0ms

simplify23.0ms

prune7.0ms

localize35.0ms

rewrite42.0ms

series56.0ms

simplify43.0ms

prune207.0ms

localize36.0ms

rewrite73.0ms

series100.0ms

simplify48.0ms

prune345.0ms

localize36.0ms

rewrite27.0ms

series40.0ms

simplify58.0ms

prune163.0ms

localize38.0ms

rewrite23.0ms

series88.0ms

simplify53.0ms

prune158.0ms

regimes147.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample6.6s

Profiling