Details

analyze785.0ms (6.5%)

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 (1.6%)

Algorithm

1×

intervals

Results

126.0ms	119×	body	1024	valid
27.0ms	41×	body	512	valid
20.0ms	77×	body	128	valid
8.0ms	19×	body	256	valid

Compiler

Compiled 101 to 83 computations (17.8% saved)

simplify223.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

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: 0.3b

Counts

2 → 2

Compiler

Compiled 146 to 116 computations (20.5% saved)

localize35.0ms (0.3%)

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))
1.8b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite52.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_4816`
14×	`*-un-lft-identity_binary64_4795`
11×	`pow1_binary64_4853` `add-exp-log_binary64_4830` `add-cbrt-cube_binary64_4828`
9×	`associate-l_binary64_4738`
8×	`sub-neg_binary64_4788` `add-log-exp_binary64_4831` `add-cube-cbrt_binary64_4827`
7×	`associate-r_binary64_4737`
6×	`associate-*r/_binary64_4739`
5×	`sqrt-prod_binary64_4810` `distribute-rgt-in_binary64_4747` `difference-of-squares_binary64_4764` `distribute-lft-in_binary64_4746`
4×	`flip3--_binary64_4799` `cbrt-unprod_binary64_4825` `flip--_binary64_4770` `pow-prod-down_binary64_4863` `prod-exp_binary64_4841`
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 → 81

Calls

4 calls:

17.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
11.0ms	(.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)))
6.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
5.0ms	(-.f64 3 (sqrt.f64 5))

series305.0ms (2.5%)

Counts

4 → 10

Calls

4 calls:

131.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
89.0ms	(.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)))
84.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
0.0ms	(-.f64 3 (sqrt.f64 5))

simplify86.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5230	1546

prune303.0ms (2.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	82	9	91
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	83	10	93

Merged error: 0.1b

Counts

93 → 10

Compiler

Compiled 5425 to 3642 computations (32.9% saved)

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(+.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))
1.8b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite55.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_4816`
13×	`*-un-lft-identity_binary64_4795`
10×	`add-log-exp_binary64_4831`
8×	`sub-neg_binary64_4788`
7×	`add-cube-cbrt_binary64_4827`
6×	`associate-r/_binary64_4739` `pow1_binary64_4853` `add-exp-log_binary64_4830` `associate-r_binary64_4737` `associate-l*_binary64_4738` `add-cbrt-cube_binary64_4828`
5×	`sqrt-prod_binary64_4810` `distribute-rgt-in_binary64_4747` `difference-of-squares_binary64_4764` `distribute-lft-in_binary64_4746`
4×	`flip3--_binary64_4799` `associate-+l+_binary64_4730` `flip--_binary64_4770`
3×	`distribute-lft-out--_binary64_4749`
2×	`unswap-sqr_binary64_4763` `frac-add_binary64_4803` `diff-log_binary64_4884`
1×	`sum-log_binary64_4883` `diff-cos_binary64_4943` `flip3-+_binary64_4798` `flip-+_binary64_4769` `*-commutative_binary64_4728` `times-frac_binary64_4801` `cbrt-unprod_binary64_4825` `+-commutative_binary64_4727` `pow-prod-down_binary64_4863` `prod-exp_binary64_4841`

Counts

4 → 74

Calls

4 calls:

18.0ms	(+.f64 (.f64 (cos.f64 y) (.f64 3/2 (-.f64 3 (sqrt.f64 5)))) (/.f64 (*.f64 (cos.f64 x) 6) (+.f64 (sqrt.f64 5) 1)))
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))

series474.0ms (3.9%)

Counts

4 → 10

Calls

4 calls:

264.0ms	(+.f64 (.f64 (cos.f64 y) (.f64 3/2 (-.f64 3 (sqrt.f64 5)))) (/.f64 (*.f64 (cos.f64 x) 6) (+.f64 (sqrt.f64 5) 1)))
125.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
85.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
0.0ms	(-.f64 3 (sqrt.f64 5))

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5082	1915

prune276.0ms (2.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	83	11	94

Merged error: 0.1b

Counts

94 → 11

Compiler

Compiled 5300 to 3596 computations (32.2% saved)

localize38.0ms (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 (.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)))
1.8b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite97.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`associate-*r/_binary64_4739`
29×	`flip3--_binary64_4799` `flip--_binary64_4770`
28×	`frac-times_binary64_4805`
21×	`add-sqr-sqrt_binary64_4816`
15×	`pow1_binary64_4853` `add-exp-log_binary64_4830` `add-cbrt-cube_binary64_4828`
14×	`associate-l/_binary64_4740` `-un-lft-identity_binary64_4795`
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`
5×	`sub-neg_binary64_4788`
4×	`sqrt-prod_binary64_4810` `difference-of-squares_binary64_4764`
3×	`distribute-lft-out--_binary64_4749`
2×	`unswap-sqr_binary64_4763` `diff-cos_binary64_4943` `distribute-rgt-in_binary64_4747` `*-commutative_binary64_4728` `distribute-lft-in_binary64_4746`
1×	`sum-log_binary64_4883` `flip3-+_binary64_4798` `flip-+_binary64_4769` `frac-add_binary64_4803` `diff-log_binary64_4884` `times-frac_binary64_4801` `+-commutative_binary64_4727`

Counts

4 → 107

Calls

4 calls:

36.0ms	(.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)))
19.0ms	(+.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)))
13.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

series815.0ms (6.7%)

Counts

4 → 12

Calls

4 calls:

387.0ms	(.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)))
231.0ms	(+.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)))
121.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
76.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

simplify115.0ms (1%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5032	4936

prune478.0ms (4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	114	5	119
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	119	11	130

Merged error: 0.1b

Counts

130 → 11

Compiler

Compiled 8344 to 5355 computations (35.8% saved)

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(+.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)))
1.8b	(-.f64 (cos.f64 x) (cos.f64 y))
6.0b	(log.f64 (exp.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))))

rewrite58.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_4816`
12×	`*-un-lft-identity_binary64_4795`
9×	`add-log-exp_binary64_4831`
8×	`add-cube-cbrt_binary64_4827`
7×	`pow1_binary64_4853`
6×	`add-exp-log_binary64_4830` `associate-r_binary64_4737` `associate-l_binary64_4738` `add-cbrt-cube_binary64_4828`
5×	`sub-neg_binary64_4788` `log-prod_binary64_4878`
4×	`associate-*r/_binary64_4739` `sqrt-prod_binary64_4810`
3×	`log-pow_binary64_4881` `difference-of-squares_binary64_4764`
2×	`unswap-sqr_binary64_4763` `flip3--_binary64_4799` `distribute-lft-out--_binary64_4749` `distribute-rgt-in_binary64_4747` `exp-sum_binary64_4838` `flip--_binary64_4770` `distribute-lft-in_binary64_4746`
1×	`sum-log_binary64_4883` `diff-cos_binary64_4943` `flip3-+_binary64_4798` `rem-log-exp_binary64_4833` `flip-+_binary64_4769` `frac-add_binary64_4803` `exp-to-pow_binary64_4854` `exp-prod_binary64_4844` `*-commutative_binary64_4728` `diff-log_binary64_4884` `times-frac_binary64_4801` `cbrt-unprod_binary64_4825` `+-commutative_binary64_4727` `pow-prod-down_binary64_4863` `prod-exp_binary64_4841`

Counts

4 → 71

Calls

4 calls:

18.0ms	(+.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)))
15.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
4.0ms	(log.f64 (exp.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))))

series690.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

249.0ms	(log.f64 (exp.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))))
244.0ms	(+.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)))
121.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
76.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

simplify118.0ms (1%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4916	1850
1	4916	1850

prune267.0ms (2.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	83	11	94

Merged error: 0.1b

Counts

94 → 11

Compiler

Compiled 4848 to 3288 computations (32.2% saved)

regimes184.0ms (1.5%)

Compiler: Compiled 2297 to 1753 computations (23.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	89	84
1	89	84

end0.0ms (0%)

sample6.3s (51.9%)

Algorithm

1×

intervals

Results

3.6s	3509×	body	1024	valid
896.0ms	1351×	body	512	valid
510.0ms	2530×	body	128	valid
251.0ms	586×	body	256	valid
49.0ms	24×	body	2048	valid

Compiler

Compiled 834 to 640 computations (23.3% saved)

Details

analyze785.0ms (6.5%)

sample196.0ms (1.6%)

simplify223.0ms (1.8%)

prune9.0ms (0.1%)

localize35.0ms (0.3%)

rewrite52.0ms (0.4%)

series305.0ms (2.5%)

simplify86.0ms (0.7%)

prune303.0ms (2.5%)

localize36.0ms (0.3%)

rewrite55.0ms (0.5%)

series474.0ms (3.9%)

simplify78.0ms (0.6%)

prune276.0ms (2.3%)

localize38.0ms (0.3%)

rewrite97.0ms (0.8%)

series815.0ms (6.7%)

simplify115.0ms (1%)

prune478.0ms (4%)

localize40.0ms (0.3%)

rewrite58.0ms (0.5%)

series690.0ms (5.7%)

simplify118.0ms (1%)

prune267.0ms (2.2%)

regimes184.0ms (1.5%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample6.3s (51.9%)

Profiling