Details

analyze846.0ms (6%)

Algorithm

1×

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

Compiler

Compiled 51 to 41 computations (19.6% saved)

sample196.0ms (1.4%)

Algorithm

1×

intervals

Results

117.0ms	107×	body	1024	valid
37.0ms	47×	body	512	valid
18.0ms	84×	body	128	valid
8.0ms	18×	body	256	valid

Compiler

Compiled 101 to 83 computations (17.8% saved)

simplify226.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4924	77
1	4924	77

prune9.0ms (0.1%)

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

Compiler

Compiled 146 to 116 computations (20.5% saved)

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))
0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
1.0b	(-.f64 3 (sqrt.f64 5))
1.2b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite78.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`flip3--_binary64_4799` `flip--_binary64_4770`
28×	`associate-*r/_binary64_4739` `frac-times_binary64_4805`
25×	`add-sqr-sqrt_binary64_4816`
16×	`*-un-lft-identity_binary64_4795`
15×	`pow1_binary64_4853` `add-exp-log_binary64_4830` `add-cbrt-cube_binary64_4828`
14×	`associate-*l/_binary64_4740`
12×	`associate-r_binary64_4737`
8×	`add-log-exp_binary64_4831` `add-cube-cbrt_binary64_4827`
7×	`associate-l_binary64_4738` `cbrt-unprod_binary64_4825` `pow-prod-down_binary64_4863` `prod-exp_binary64_4841`
6×	`sub-neg_binary64_4788` `difference-of-squares_binary64_4764`
5×	`sqrt-prod_binary64_4810`
4×	`distribute-lft-out--_binary64_4749`
2×	`unswap-sqr_binary64_4763` `diff-cos_binary64_4943` `distribute-rgt-in_binary64_4747` `*-commutative_binary64_4728` `diff-log_binary64_4884` `distribute-lft-in_binary64_4746`
1×	`times-frac_binary64_4801`

Counts

4 → 109

Calls

4 calls:

31.0ms	(.f64 (.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))
14.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
6.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
5.0ms	(-.f64 3 (sqrt.f64 5))

series793.0ms (5.6%)

Counts

4 → 10

Calls

4 calls:

386.0ms	(.f64 (.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))
297.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
109.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
0.0ms	(-.f64 3 (sqrt.f64 5))

simplify85.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4995	4492
1	4995	4492

prune498.0ms (3.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	112	7	119
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	113	8	121

Merged error: 0.2b

Counts

121 → 8

Compiler

Compiled 7991 to 5065 computations (36.6% saved)

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (sqrt.f64 (sqrt.f64 2)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))
0.4b	(.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (sqrt.f64 (sqrt.f64 2))))
1.0b	(-.f64 3 (sqrt.f64 5))
1.2b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite97.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`associate-*l/_binary64_4740`
30×	`flip3--_binary64_4799` `flip--_binary64_4770`
28×	`associate-*r/_binary64_4739` `frac-times_binary64_4805`
23×	`pow1_binary64_4853` `add-exp-log_binary64_4830` `add-cbrt-cube_binary64_4828`
16×	`add-sqr-sqrt_binary64_4816`
14×	`*-un-lft-identity_binary64_4795`
13×	`cbrt-unprod_binary64_4825` `pow-prod-down_binary64_4863` `prod-exp_binary64_4841`
10×	`sqrt-prod_binary64_4810` `associate-l_binary64_4738`
8×	`add-log-exp_binary64_4831` `add-cube-cbrt_binary64_4827`
7×	`associate-r_binary64_4737`
4×	`sub-neg_binary64_4788` `difference-of-squares_binary64_4764`
3×	`distribute-lft-out--_binary64_4749`
2×	`diff-cos_binary64_4943` `*-commutative_binary64_4728` `diff-log_binary64_4884`
1×	`distribute-rgt-in_binary64_4747` `distribute-lft-in_binary64_4746`

Counts

4 → 109

Calls

4 calls:

42.0ms	(.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (sqrt.f64 (sqrt.f64 2)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))
20.0ms	(.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (sqrt.f64 (sqrt.f64 2))))
6.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
5.0ms	(-.f64 3 (sqrt.f64 5))

series595.0ms (4.2%)

Counts

4 → 10

Calls

4 calls:

388.0ms	(.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (sqrt.f64 (sqrt.f64 2)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))
128.0ms	(.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)) (sqrt.f64 (sqrt.f64 2))))
78.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
0.0ms	(-.f64 3 (sqrt.f64 5))

simplify95.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5015	4572

prune627.0ms (4.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	119	8	127

Merged error: 0.2b

Counts

127 → 8

Compiler

Compiled 8174 to 5280 computations (35.4% saved)

localize41.0ms (0.3%)

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 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))
0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
1.2b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite108.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`associate-*r/_binary64_4739`
35×	`flip3--_binary64_4799` `flip--_binary64_4770`
32×	`frac-times_binary64_4805`
27×	`add-sqr-sqrt_binary64_4816`
20×	`pow1_binary64_4853` `add-exp-log_binary64_4830` `add-cbrt-cube_binary64_4828`
18×	`associate-r_binary64_4737`
17×	`*-un-lft-identity_binary64_4795`
16×	`associate-*l/_binary64_4740`
10×	`cbrt-unprod_binary64_4825` `pow-prod-down_binary64_4863` `prod-exp_binary64_4841`
9×	`add-cube-cbrt_binary64_4827`
8×	`associate-l_binary64_4738`
7×	`sub-neg_binary64_4788`
6×	`add-log-exp_binary64_4831` `difference-of-squares_binary64_4764`
4×	`distribute-lft-out--_binary64_4749` `sqrt-prod_binary64_4810`
3×	`distribute-rgt-in_binary64_4747` `*-commutative_binary64_4728` `distribute-lft-in_binary64_4746`
2×	`unswap-sqr_binary64_4763` `diff-cos_binary64_4943` `times-frac_binary64_4801`
1×	`diff-log_binary64_4884`

Counts

4 → 126

Calls

4 calls:

33.0ms	(.f64 (.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))
29.0ms	(.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
14.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
6.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

series840.0ms (5.9%)

Counts

4 → 12

Calls

4 calls:

399.0ms	(.f64 (.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))
225.0ms	(.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))
137.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
79.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

simplify101.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5062	5575

prune769.0ms (5.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	138	8	146

Merged error: 0.2b

Counts

146 → 8

Compiler

Compiled 9582 to 6137 computations (36% saved)

localize43.0ms (0.3%)

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 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))))
0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
1.0b	(-.f64 3 (sqrt.f64 5))
1.2b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite80.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`associate-*r/_binary64_4739`
30×	`flip3--_binary64_4799` `flip--_binary64_4770`
28×	`frac-times_binary64_4805`
22×	`add-sqr-sqrt_binary64_4816`
18×	`pow1_binary64_4853` `add-exp-log_binary64_4830` `add-cbrt-cube_binary64_4828`
13×	`*-un-lft-identity_binary64_4795`
9×	`cbrt-unprod_binary64_4825` `pow-prod-down_binary64_4863` `prod-exp_binary64_4841`
8×	`sub-neg_binary64_4788` `associate-*l/_binary64_4740` `add-log-exp_binary64_4831`
7×	`associate-r_binary64_4737` `associate-l_binary64_4738` `add-cube-cbrt_binary64_4827`
5×	`sqrt-prod_binary64_4810` `distribute-rgt-in_binary64_4747` `difference-of-squares_binary64_4764` `distribute-lft-in_binary64_4746`
3×	`distribute-lft-out--_binary64_4749`
2×	`unswap-sqr_binary64_4763` `*-commutative_binary64_4728` `diff-log_binary64_4884`
1×	`diff-cos_binary64_4943` `times-frac_binary64_4801`

Counts

4 → 109

Calls

4 calls:

32.0ms	(.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))))
14.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
6.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
6.0ms	(-.f64 3 (sqrt.f64 5))

series613.0ms (4.3%)

Counts

4 → 10

Calls

4 calls:

399.0ms	(.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))))
129.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
83.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
0.0ms	(-.f64 3 (sqrt.f64 5))

simplify89.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5239	4572

prune405.0ms (2.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	119	8	127

Merged error: 0.2b

Counts

127 → 8

Compiler

Compiled 7483 to 4689 computations (37.3% saved)

regimes95.0ms (0.7%)

Compiler: Compiled 1064 to 800 computations (24.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	122	80
1	122	80

end0.0ms (0%)

sample6.8s (47.8%)

Algorithm

1×

intervals

Results

4.0s	3460×	body	1024	valid
1.0s	1406×	body	512	valid
567.0ms	2480×	body	128	valid
295.0ms	634×	body	256	valid
43.0ms	20×	body	2048	valid

Compiler

Compiled 631 to 479 computations (24.1% saved)

Details

analyze846.0ms (6%)

sample196.0ms (1.4%)

simplify226.0ms (1.6%)

prune9.0ms (0.1%)

localize43.0ms (0.3%)

rewrite78.0ms (0.6%)

series793.0ms (5.6%)

simplify85.0ms (0.6%)

prune498.0ms (3.5%)

localize40.0ms (0.3%)

rewrite97.0ms (0.7%)

series595.0ms (4.2%)

simplify95.0ms (0.7%)

prune627.0ms (4.4%)

localize41.0ms (0.3%)

rewrite108.0ms (0.8%)

series840.0ms (5.9%)

simplify101.0ms (0.7%)

prune769.0ms (5.4%)

localize43.0ms (0.3%)

rewrite80.0ms (0.6%)

series613.0ms (4.3%)

simplify89.0ms (0.6%)

prune405.0ms (2.9%)

regimes95.0ms (0.7%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample6.8s (47.8%)

Profiling