Details

analyze1.7s (6.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5431	154
0	2	2
1	2	2

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)

sample312.0ms (1.2%)

Algorithm

1×

intervals

Results

194.0ms	109×	body	1024	valid
43.0ms	37×	body	512	valid
31.0ms	87×	body	128	valid
16.0ms	21×	body	256	valid
5.0ms	2×	body	2048	valid

Compiler

Compiled 101 to 83 computations (17.8% saved)

simplify93.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4940	77
1	4940	77

prune16.0ms (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

Error

0.3b

Counts

2 → 2

Compiler

Compiled 146 to 116 computations (20.5% saved)

localize62.0ms (0.2%)

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 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)))
1.0b	(-.f64 3 (sqrt.f64 5))
2.1b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite103.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`cancel-sign-sub-inv_binary64_4477`
44×	`add-sqr-sqrt_binary64_4533`
35×	`*-un-lft-identity_binary64_4511`
30×	`distribute-lft-in_binary64_4460` `distribute-rgt-in_binary64_4461`
29×	`add-cube-cbrt_binary64_4546`
19×	`times-frac_binary64_4517`
11×	`pow1_binary64_4572` `add-cbrt-cube_binary64_4547` `add-exp-log_binary64_4549`
9×	`associate-l_binary64_4452`
8×	`add-log-exp_binary64_4550` `sub-neg_binary64_4504` `sqrt-prod_binary64_4527`
7×	`associate-r_binary64_4451`
6×	`associate-*r/_binary64_4453`
5×	`difference-of-squares_binary64_4480`
4×	`flip--_binary64_4486` `flip3--_binary64_4515` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `pow-prod-down_binary64_4582`
3×	`distribute-lft-out--_binary64_4463`
2×	`unswap-sqr_binary64_4479` `diff-log_binary64_4603` `*-commutative_binary64_4442` `div-inv_binary64_4508`
1×	`diff-cos_binary64_4662`

Counts

4 → 128

Calls

4 calls:

25.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
24.0ms	(.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)))
9.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
8.0ms	(-.f64 3 (sqrt.f64 5))

series603.0ms (2.4%)

Counts

4 → 30

Calls

4 calls:

272.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
200.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
131.0ms	(.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)))
0.0ms	(-.f64 3 (sqrt.f64 5))

Compiler

Compiled 2120 to 1724 computations (18.7% saved)

simplify151.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	5019	2752

prune900.0ms (3.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	148	10	158
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	149	11	160

Error

0.1b

Counts

160 → 11

Compiler

Compiled 8999 to 6044 computations (32.8% saved)

localize83.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(/.f64 (.f64 3/2 (.f64 (cos.f64 x) (+.f64 -1 (.f64 5 (sqrt.f64 5))))) (+.f64 (.f64 (sqrt.f64 5) (sqrt.f64 5)) (+.f64 (.f64 1 1) (.f64 (sqrt.f64 5) 1))))
1.0b	(-.f64 3 (sqrt.f64 5))
1.0b	(*.f64 (sqrt.f64 5) (sqrt.f64 5))
2.1b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite109.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-sqr-sqrt_binary64_4533`
22×	`sqrt-prod_binary64_4527`
21×	`*-un-lft-identity_binary64_4511`
19×	`pow1_binary64_4572`
17×	`add-cube-cbrt_binary64_4546`
15×	`add-cbrt-cube_binary64_4547` `add-exp-log_binary64_4549`
9×	`cancel-sign-sub-inv_binary64_4477`
8×	`add-log-exp_binary64_4550` `swap-sqr_binary64_4478` `pow1/2_binary64_4591` `sqrt-pow1_binary64_4529`
6×	`associate-l_binary64_4452` `associate-r_binary64_4451`
5×	`pow-prod-up_binary64_4581`
4×	`unswap-sqr_binary64_4479` `associate-*r/_binary64_4453` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544`
3×	`div-exp_binary64_4562` `pow-sqr_binary64_4484` `difference-of-squares_binary64_4480` `pow-prod-down_binary64_4582` `associate-/r*_binary64_4455` `times-frac_binary64_4517` `cbrt-undiv_binary64_4545`
2×	`distribute-lft-out--_binary64_4463` `flip--_binary64_4486` `associate-/l/_binary64_4458` `flip-+_binary64_4485` `flip3-+_binary64_4514` `flip3--_binary64_4515` `associate-/r/_binary64_4457` `diff-log_binary64_4603` `sub-neg_binary64_4504` `rem-sqrt-square_binary64_4524`
1×	`sqr-abs_binary64_4526` `associate-/l_binary64_4456` `pow-plus_binary64_4574` `sqrt-unprod_binary64_4531` `pow2_binary64_4592` `diff-cos_binary64_4662` `frac-2neg_binary64_4522` `rem-square-sqrt_binary64_4523` `-commutative_binary64_4442` `clear-num_binary64_4510` `div-inv_binary64_4508`

Counts

4 → 114

Calls

4 calls:

32.0ms	(/.f64 (.f64 3/2 (.f64 (cos.f64 x) (+.f64 -1 (.f64 5 (sqrt.f64 5))))) (+.f64 (.f64 (sqrt.f64 5) (sqrt.f64 5)) (+.f64 (.f64 1 1) (.f64 (sqrt.f64 5) 1))))
13.0ms	(*.f64 (sqrt.f64 5) (sqrt.f64 5))
9.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
8.0ms	(-.f64 3 (sqrt.f64 5))

series568.0ms (2.2%)

Counts

4 → 18

Calls

4 calls:

365.0ms	(/.f64 (.f64 3/2 (.f64 (cos.f64 x) (+.f64 -1 (.f64 5 (sqrt.f64 5))))) (+.f64 (.f64 (sqrt.f64 5) (sqrt.f64 5)) (+.f64 (.f64 1 1) (.f64 (sqrt.f64 5) 1))))
203.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
0.0ms	(*.f64 (sqrt.f64 5) (sqrt.f64 5))
0.0ms	(-.f64 3 (sqrt.f64 5))

Compiler

Compiled 1812 to 1572 computations (13.2% saved)

simplify109.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5712	1937

prune926.0ms (3.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	132	11	143

Error

0.1b

Counts

143 → 11

Compiler

Compiled 9535 to 7120 computations (25.3% saved)

localize62.0ms (0.2%)

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)))
0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
1.0b	(-.f64 3 (sqrt.f64 5))
2.1b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite118.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

59×	`cancel-sign-sub-inv_binary64_4477`
47×	`add-sqr-sqrt_binary64_4533`
42×	`distribute-lft-in_binary64_4460` `distribute-rgt-in_binary64_4461`
38×	`*-un-lft-identity_binary64_4511`
32×	`add-cube-cbrt_binary64_4546`
28×	`associate-+l+_binary64_4444`
20×	`sqrt-prod_binary64_4527`
19×	`times-frac_binary64_4517`
10×	`add-log-exp_binary64_4550`
8×	`sub-neg_binary64_4504`
6×	`pow1_binary64_4572` `add-cbrt-cube_binary64_4547` `add-exp-log_binary64_4549` `associate-l_binary64_4452` `associate-r/_binary64_4453` `associate-r*_binary64_4451`
5×	`difference-of-squares_binary64_4480`
4×	`flip--_binary64_4486` `flip3--_binary64_4515`
3×	`distribute-lft-out--_binary64_4463`
2×	`frac-add_binary64_4519` `unswap-sqr_binary64_4479` `diff-log_binary64_4603` `div-inv_binary64_4508`
1×	`flip-+_binary64_4485` `flip3-+_binary64_4514` `+-commutative_binary64_4441` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `diff-cos_binary64_4662` `sum-log_binary64_4602` `pow-prod-down_binary64_4582` `*-commutative_binary64_4442`

Counts

4 → 133

Calls

4 calls:

33.0ms	(+.f64 (.f64 (cos.f64 y) (.f64 3/2 (-.f64 3 (sqrt.f64 5)))) (/.f64 (*.f64 (cos.f64 x) 6) (+.f64 (sqrt.f64 5) 1)))
25.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
9.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
8.0ms	(-.f64 3 (sqrt.f64 5))

series1.0s (4.1%)

Counts

4 → 36

Calls

4 calls:

571.0ms	(+.f64 (.f64 (cos.f64 y) (.f64 3/2 (-.f64 3 (sqrt.f64 5)))) (/.f64 (*.f64 (cos.f64 x) 6) (+.f64 (sqrt.f64 5) 1)))
287.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
181.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
0.0ms	(-.f64 3 (sqrt.f64 5))

Compiler

Compiled 2602 to 2104 computations (19.1% saved)

simplify169.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4902	4004
1	4902	4004

prune836.0ms (3.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	167	2	169
Fresh	3	7	10
Picked	0	1	1
Done	0	0	0
Total	170	10	180

Error

0.1b

Counts

180 → 10

Compiler

Compiled 9750 to 6557 computations (32.7% saved)

localize66.0ms (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)))
0.3b	(+.f64 (.f64 (cos.f64 y) (.f64 3/2 (/.f64 4 (+.f64 3 (sqrt.f64 5))))) (/.f64 (*.f64 (cos.f64 x) 6) (+.f64 (sqrt.f64 5) 1)))
0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
2.1b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite158.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-sqr-sqrt_binary64_4533`
35×	`cancel-sign-sub-inv_binary64_4477`
31×	`*-un-lft-identity_binary64_4511`
30×	`associate-*r/_binary64_4453`
29×	`flip--_binary64_4486` `flip3--_binary64_4515`
28×	`frac-times_binary64_4521`
25×	`add-cube-cbrt_binary64_4546`
19×	`times-frac_binary64_4517`
18×	`distribute-lft-in_binary64_4460` `distribute-rgt-in_binary64_4461`
15×	`pow1_binary64_4572` `add-cbrt-cube_binary64_4547` `add-exp-log_binary64_4549`
14×	`associate-*l/_binary64_4454`
12×	`associate-r_binary64_4451`
8×	`add-log-exp_binary64_4550`
7×	`associate-l_binary64_4452` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `pow-prod-down_binary64_4582`
5×	`sub-neg_binary64_4504`
4×	`difference-of-squares_binary64_4480` `sqrt-prod_binary64_4527`
3×	`distribute-lft-out--_binary64_4463`
2×	`unswap-sqr_binary64_4479` `diff-cos_binary64_4662` `*-commutative_binary64_4442` `div-inv_binary64_4508`
1×	`frac-add_binary64_4519` `flip-+_binary64_4485` `flip3-+_binary64_4514` `+-commutative_binary64_4441` `diff-log_binary64_4603` `sum-log_binary64_4602`

Counts

4 → 142

Calls

4 calls:

48.0ms	(.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)))
28.0ms	(+.f64 (.f64 (cos.f64 y) (.f64 3/2 (/.f64 4 (+.f64 3 (sqrt.f64 5))))) (/.f64 (*.f64 (cos.f64 x) 6) (+.f64 (sqrt.f64 5) 1)))
26.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
9.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

series1.7s (6.5%)

Counts

4 → 46

Calls

4 calls:

631.0ms	(.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)))
548.0ms	(+.f64 (.f64 (cos.f64 y) (.f64 3/2 (/.f64 4 (+.f64 3 (sqrt.f64 5))))) (/.f64 (*.f64 (cos.f64 x) 6) (+.f64 (sqrt.f64 5) 1)))
291.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
202.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 3581 to 2933 computations (18.1% saved)

simplify234.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	5018	7132

prune1.2s (4.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	187	1	188
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	188	10	198

Error

0.1b

Counts

198 → 10

Compiler

Compiled 11585 to 7641 computations (34% saved)

regimes1.1s (4.3%)

Accuracy

Total 0.3b remaining (70.5%)

Threshold costs 0.3b (70.5%)

Compiler

Compiled 8549 to 6889 computations (19.4% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	89	84
1	89	84

end0.0ms (0%)

sample13.2s (51.8%)

Algorithm

1×

intervals

Results

5.8s	3482×	body	1024	valid
1.5s	1347×	body	512	valid
942.0ms	2609×	body	128	valid
402.0ms	549×	body	256	valid
37.0ms	13×	body	2048	valid

Compiler

Compiled 2918 to 2352 computations (19.4% saved)

Details

analyze1.7s (6.5%)

sample312.0ms (1.2%)

simplify93.0ms (0.4%)

prune16.0ms (0.1%)

localize62.0ms (0.2%)

rewrite103.0ms (0.4%)

series603.0ms (2.4%)

simplify151.0ms (0.6%)

prune900.0ms (3.5%)

localize83.0ms (0.3%)

rewrite109.0ms (0.4%)

series568.0ms (2.2%)

simplify109.0ms (0.4%)

prune926.0ms (3.6%)

localize62.0ms (0.2%)

rewrite118.0ms (0.5%)

series1.0s (4.1%)

simplify169.0ms (0.7%)

prune836.0ms (3.3%)

localize66.0ms (0.3%)

rewrite158.0ms (0.6%)

series1.7s (6.5%)

simplify234.0ms (0.9%)

prune1.2s (4.6%)

regimes1.1s (4.3%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample13.2s (51.8%)

Profiling