Details

analyze761.0ms (4.6%)

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)

sample185.0ms (1.1%)

Algorithm

1×

intervals

Results

123.0ms	121×	body	1024	valid
26.0ms	41×	body	512	valid
14.0ms	70×	body	128	valid
10.0ms	24×	body	256	valid

Compiler

Compiled 101 to 83 computations (17.8% saved)

simplify216.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4924	77
1	4924	77

prune10.0ms (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)

localize34.0ms (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)))
0.6b	(.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))

rewrite49.0ms (0.3%)

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:

14.0ms	(.f64 3/2 (.f64 (cos.f64 x) (-.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))
5.0ms	(-.f64 3 (sqrt.f64 5))

series260.0ms (1.6%)

Counts

4 → 10

Calls

4 calls:

110.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
78.0ms	(.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)))
72.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
0.0ms	(-.f64 3 (sqrt.f64 5))

simplify69.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5230	1546

prune300.0ms (1.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	78	13	91
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	79	14	93

Merged error: 0.2b

Counts

93 → 14

Compiler

Compiled 5622 to 3803 computations (32.4% saved)

localize34.0ms (0.2%)

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))
2.1b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite54.0ms (0.3%)

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:

19.0ms	(+.f64 (.f64 (cos.f64 y) (.f64 3/2 (-.f64 3 (sqrt.f64 5)))) (/.f64 (*.f64 (cos.f64 x) 6) (+.f64 (sqrt.f64 5) 1)))
13.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
5.0ms	(-.f64 3 (sqrt.f64 5))

series461.0ms (2.8%)

Counts

4 → 10

Calls

4 calls:

255.0ms	(+.f64 (.f64 (cos.f64 y) (.f64 3/2 (-.f64 3 (sqrt.f64 5)))) (/.f64 (*.f64 (cos.f64 x) 6) (+.f64 (sqrt.f64 5) 1)))
127.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
79.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
0.0ms	(-.f64 3 (sqrt.f64 5))

simplify64.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5082	1915

prune272.0ms (1.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	78	6	84
Fresh	5	8	13
Picked	1	0	1
Done	0	0	0
Total	84	14	98

Merged error: 0.1b

Counts

98 → 14

Compiler

Compiled 5429 to 3695 computations (31.9% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (+.f64 2 (.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)))) (+.f64 3 (+.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 (.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))

rewrite79.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64_4795`
27×	`add-sqr-sqrt_binary64_4816`
16×	`add-cube-cbrt_binary64_4827`
13×	`times-frac_binary64_4801`
8×	`add-exp-log_binary64_4830` `add-cbrt-cube_binary64_4828` `add-log-exp_binary64_4831`
6×	`pow1_binary64_4853` `associate-r_binary64_4737` `associate-l_binary64_4738`
4×	`associate-r/_binary64_4739` `distribute-lft-out_binary64_4748` `sqrt-prod_binary64_4810` `associate-/r_binary64_4741`
3×	`sub-neg_binary64_4788` `flip3-+_binary64_4798` `flip-+_binary64_4769` `associate-/l*_binary64_4742` `difference-of-squares_binary64_4764`
2×	`associate-/l/_binary64_4744` `unswap-sqr_binary64_4763` `flip3--_binary64_4799` `distribute-lft-out--_binary64_4749` `associate-/r/_binary64_4743` `flip--_binary64_4770`
1×	`sum-log_binary64_4883` `div-exp_binary64_4843` `clear-num_binary64_4794` `frac-2neg_binary64_4806` `diff-cos_binary64_4943` `frac-add_binary64_4803` `cbrt-undiv_binary64_4826` `div-inv_binary64_4792` `distribute-rgt-in_binary64_4747` `*-commutative_binary64_4728` `diff-log_binary64_4884` `cbrt-unprod_binary64_4825` `+-commutative_binary64_4727` `pow-prod-down_binary64_4863` `prod-exp_binary64_4841` `distribute-lft-in_binary64_4746`

Counts

4 → 90

Calls

4 calls:

27.0ms	(/.f64 (+.f64 2 (.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)))) (+.f64 3 (+.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)))))
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)))
13.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

series2.9s (17.4%)

Counts

4 → 12

Calls

4 calls:

2.5s	(/.f64 (+.f64 2 (.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)))) (+.f64 3 (+.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)))))
226.0ms	(+.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)))
118.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
78.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

simplify76.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5146	5401

prune421.0ms (2.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	93	9	102
Fresh	9	4	13
Picked	1	0	1
Done	0	0	0
Total	103	13	116

Merged error: 0.0b

Counts

116 → 13

Compiler

Compiled 7549 to 5111 computations (32.3% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(+.f64 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) (/.f64 (cos.f64 y) (+.f64 3 (sqrt.f64 5))))
0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
0.6b	(/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5)))
2.1b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite75.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`*-un-lft-identity_binary64_4795`
32×	`add-sqr-sqrt_binary64_4816`
24×	`times-frac_binary64_4801`
17×	`distribute-lft-out_binary64_4748` `add-cube-cbrt_binary64_4827`
8×	`sqrt-prod_binary64_4810` `add-exp-log_binary64_4830` `add-cbrt-cube_binary64_4828` `add-log-exp_binary64_4831`
6×	`pow1_binary64_4853` `associate-r_binary64_4737` `associate-l_binary64_4738`
5×	`associate-/r*_binary64_4741`
3×	`sub-neg_binary64_4788` `associate-/l*_binary64_4742` `difference-of-squares_binary64_4764`
2×	`unswap-sqr_binary64_4763` `associate-*r/_binary64_4739` `flip3--_binary64_4799` `distribute-lft-out--_binary64_4749` `flip3-+_binary64_4798` `flip-+_binary64_4769` `associate-/r/_binary64_4743` `flip--_binary64_4770`
1×	`sum-log_binary64_4883` `div-exp_binary64_4843` `clear-num_binary64_4794` `frac-2neg_binary64_4806` `diff-cos_binary64_4943` `frac-add_binary64_4803` `cbrt-undiv_binary64_4826` `div-inv_binary64_4792` `distribute-rgt-in_binary64_4747` `*-commutative_binary64_4728` `diff-log_binary64_4884` `cbrt-unprod_binary64_4825` `+-commutative_binary64_4727` `pow-prod-down_binary64_4863` `prod-exp_binary64_4841` `distribute-lft-in_binary64_4746`

Counts

4 → 97

Calls

4 calls:

33.0ms	(+.f64 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) (/.f64 (cos.f64 y) (+.f64 3 (sqrt.f64 5))))
13.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
8.0ms	(/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5)))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

series475.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

199.0ms	(+.f64 (/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5))) (/.f64 (cos.f64 y) (+.f64 3 (sqrt.f64 5))))
125.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
78.0ms	(/.f64 (cos.f64 x) (+.f64 1 (sqrt.f64 5)))
72.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

simplify77.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4961	2245
1	4961	2245

prune301.0ms (1.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	1	11	12
Picked	1	0	1
Done	0	0	0
Total	110	12	122

Merged error: 0.0b

Counts

122 → 12

Compiler

Compiled 6013 to 3952 computations (34.3% saved)

regimes824.0ms (5%)

Compiler: Compiled 12635 to 9694 computations (23.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	87	80
1	87	80

end0.0ms (0%)

sample8.6s (51.6%)

Algorithm

1×

intervals

Results

3.6s	3509×	body	1024	valid
920.0ms	1400×	body	512	valid
480.0ms	2501×	body	128	valid
235.0ms	576×	body	256	valid
27.0ms	14×	body	2048	valid

Compiler

Compiled 4278 to 3285 computations (23.2% saved)

Details

analyze761.0ms (4.6%)

sample185.0ms (1.1%)

simplify216.0ms (1.3%)

prune10.0ms (0.1%)

localize34.0ms (0.2%)

rewrite49.0ms (0.3%)

series260.0ms (1.6%)

simplify69.0ms (0.4%)

prune300.0ms (1.8%)

localize34.0ms (0.2%)

rewrite54.0ms (0.3%)

series461.0ms (2.8%)

simplify64.0ms (0.4%)

prune272.0ms (1.6%)

localize36.0ms (0.2%)

rewrite79.0ms (0.5%)

series2.9s (17.4%)

simplify76.0ms (0.5%)

prune421.0ms (2.5%)

localize33.0ms (0.2%)

rewrite75.0ms (0.5%)

series475.0ms (2.9%)

simplify77.0ms (0.5%)

prune301.0ms (1.8%)

regimes824.0ms (5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample8.6s (51.6%)

Profiling