Details

analyze880.0ms (4.6%)

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)

sample172.0ms (0.9%)

Algorithm

1×

intervals

Results

101.0ms	116×	body	1024	valid
38.0ms	53×	body	512	valid
13.0ms	73×	body	128	valid
5.0ms	14×	body	256	valid

Compiler

Compiled 101 to 83 computations (17.8% saved)

simplify49.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4940	77
1	4940	77

prune8.0ms (0%)

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

0.4b

Counts

2 → 2

Compiler

Compiled 146 to 116 computations (20.5% saved)

localize31.0ms (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))
1.8b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite480.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

47×	`cancel-sign-sub-inv_binary64_6864`
44×	`add-sqr-sqrt_binary64_6920`
35×	`*-un-lft-identity_binary64_6898`
30×	`distribute-rgt-in_binary64_6848` `distribute-lft-in_binary64_6847`
29×	`add-cube-cbrt_binary64_6933`
19×	`times-frac_binary64_6904`
11×	`pow1_binary64_6959` `add-exp-log_binary64_6936` `add-cbrt-cube_binary64_6934`
9×	`associate-l_binary64_6839`
8×	`add-log-exp_binary64_6937` `sub-neg_binary64_6891` `sqrt-prod_binary64_6914`
7×	`associate-r_binary64_6838`
6×	`associate-*r/_binary64_6840`
5×	`difference-of-squares_binary64_6867`
4×	`flip3--_binary64_6902` `flip--_binary64_6873` `pow-prod-down_binary64_6969` `prod-exp_binary64_6947` `cbrt-unprod_binary64_6931`
3×	`distribute-lft-out--_binary64_6850`
2×	`diff-log_binary64_6990` `*-commutative_binary64_6829` `unswap-sqr_binary64_6866` `div-inv_binary64_6895`
1×	`diff-cos_binary64_7049`

Counts

4 → 128

Calls

4 calls:

14.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
14.0ms	(.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)))
5.0ms	(-.f64 3 (sqrt.f64 5))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 7300 to 4859 computations (33.4% saved)

series399.0ms (2.1%)

Error

0.4b

Counts

4 → 26

Calls

4 calls:

162.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
104.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
71.0ms	(.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)))
0.0ms	(-.f64 3 (sqrt.f64 5))

Compiler

Compiled 3376 to 2579 computations (23.6% saved)

simplify85.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4920	2628
1	4920	2628

prune473.0ms (2.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	147	7	154
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	148	8	156

Error

0.1b

Counts

156 → 8

Compiler

Compiled 8604 to 5748 computations (33.2% saved)

localize35.0ms (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)))
0.8b	(.f64 (sqrt.f64 3/2) (.f64 (*.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)) (sqrt.f64 3/2)))
1.0b	(-.f64 3 (sqrt.f64 5))
1.8b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite472.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

41×	`add-sqr-sqrt_binary64_6920`
35×	`cancel-sign-sub-inv_binary64_6864`
32×	`*-un-lft-identity_binary64_6898`
26×	`add-cube-cbrt_binary64_6933`
19×	`times-frac_binary64_6904`
15×	`pow1_binary64_6959` `add-exp-log_binary64_6936` `add-cbrt-cube_binary64_6934`
14×	`distribute-rgt-in_binary64_6848` `distribute-lft-in_binary64_6847`
12×	`associate-l_binary64_6839`
11×	`sqrt-prod_binary64_6914`
8×	`add-log-exp_binary64_6937`
7×	`pow-prod-down_binary64_6969` `prod-exp_binary64_6947` `cbrt-unprod_binary64_6931` `associate-r_binary64_6838`
6×	`associate-*r/_binary64_6840`
5×	`difference-of-squares_binary64_6867`
4×	`flip3--_binary64_6902` `sub-neg_binary64_6891` `flip--_binary64_6873`
3×	`distribute-lft-out--_binary64_6850`
2×	`diff-log_binary64_6990` `associate-l/_binary64_6841` `-commutative_binary64_6829` `unswap-sqr_binary64_6866` `div-inv_binary64_6895`
1×	`diff-cos_binary64_7049`

Counts

4 → 118

Calls

4 calls:

16.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
14.0ms	(.f64 (sqrt.f64 3/2) (.f64 (*.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)) (sqrt.f64 3/2)))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
5.0ms	(-.f64 3 (sqrt.f64 5))

Compiler

Compiled 7235 to 4992 computations (31% saved)

series448.0ms (2.4%)

Error

0.1b

Counts

4 → 26

Calls

4 calls:

147.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
126.0ms	(.f64 (sqrt.f64 3/2) (.f64 (*.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)) (sqrt.f64 3/2)))
106.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
0.0ms	(-.f64 3 (sqrt.f64 5))

Compiler

Compiled 3756 to 2959 computations (21.2% saved)

simplify62.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5089	2502

prune521.0ms (2.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	140	4	144
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	141	11	152

Error

0.1b

Counts

152 → 11

Compiler

Compiled 8770 to 6081 computations (30.7% saved)

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(+.f64 (.f64 (cos.f64 y) (.f64 3/2 (/.f64 4 (+.f64 (sqrt.f64 5) 3)))) (.f64 (sqrt.f64 3/2) (.f64 (*.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)) (sqrt.f64 3/2))))
0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
0.8b	(.f64 (sqrt.f64 3/2) (.f64 (*.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)) (sqrt.f64 3/2)))
1.8b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite493.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

35×	`add-sqr-sqrt_binary64_6920`
29×	`cancel-sign-sub-inv_binary64_6864`
28×	`*-un-lft-identity_binary64_6898`
24×	`add-cube-cbrt_binary64_6933`
19×	`times-frac_binary64_6904`
15×	`pow1_binary64_6959` `add-exp-log_binary64_6936` `add-cbrt-cube_binary64_6934`
14×	`associate-*r/_binary64_6840` `distribute-rgt-in_binary64_6848` `distribute-lft-in_binary64_6847`
12×	`associate-l_binary64_6839`
8×	`add-log-exp_binary64_6937`
7×	`pow-prod-down_binary64_6969` `prod-exp_binary64_6947` `cbrt-unprod_binary64_6931` `sqrt-prod_binary64_6914` `associate-r_binary64_6838`
4×	`flip3--_binary64_6902` `flip--_binary64_6873` `associate-*l/_binary64_6841`
3×	`sub-neg_binary64_6891` `difference-of-squares_binary64_6867`
2×	`distribute-lft-out--_binary64_6850` `*-commutative_binary64_6829` `unswap-sqr_binary64_6866` `div-inv_binary64_6895` `frac-add_binary64_6906`
1×	`diff-cos_binary64_7049` `diff-log_binary64_6990` `sum-log_binary64_6989` `flip3-+_binary64_6901` `flip-+_binary64_6872` `+-commutative_binary64_6828`

Counts

4 → 111

Calls

4 calls:

16.0ms	(+.f64 (.f64 (cos.f64 y) (.f64 3/2 (/.f64 4 (+.f64 (sqrt.f64 5) 3)))) (.f64 (sqrt.f64 3/2) (.f64 (*.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)) (sqrt.f64 3/2))))
15.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
15.0ms	(.f64 (sqrt.f64 3/2) (.f64 (*.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)) (sqrt.f64 3/2)))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 7303 to 5139 computations (29.6% saved)

series966.0ms (5.1%)

Error

0.1b

Counts

4 → 37

Calls

4 calls:

471.0ms	(+.f64 (.f64 (cos.f64 y) (.f64 3/2 (/.f64 4 (+.f64 (sqrt.f64 5) 3)))) (.f64 (sqrt.f64 3/2) (.f64 (*.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)) (sqrt.f64 3/2))))
157.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
122.0ms	(.f64 (sqrt.f64 3/2) (.f64 (*.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)) (sqrt.f64 3/2)))
110.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 5767 to 4582 computations (20.5% saved)

simplify70.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5141	3417

prune612.0ms (3.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	145	3	148
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	147	12	159

Error

0.1b

Counts

159 → 12

Compiler

Compiled 9466 to 6633 computations (29.9% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(+.f64 (.f64 (cos.f64 x) (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3))))
0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
1.0b	(*.f64 3/2 (-.f64 (sqrt.f64 5) 1))
1.8b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite522.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

52×	`add-sqr-sqrt_binary64_6920`
47×	`cancel-sign-sub-inv_binary64_6864`
39×	`*-un-lft-identity_binary64_6898`
34×	`distribute-rgt-in_binary64_6848` `distribute-lft-in_binary64_6847`
30×	`add-cube-cbrt_binary64_6933`
19×	`times-frac_binary64_6904`
17×	`associate-r_binary64_6838`
16×	`associate-+l+_binary64_6831`
10×	`associate-*r/_binary64_6840`
9×	`sub-neg_binary64_6891` `associate-l_binary64_6839`
8×	`add-log-exp_binary64_6937` `pow1_binary64_6959` `add-exp-log_binary64_6936` `add-cbrt-cube_binary64_6934` `sqrt-prod_binary64_6914`
7×	`difference-of-squares_binary64_6867`
4×	`flip3--_binary64_6902` `flip--_binary64_6873` `distribute-lft-out--_binary64_6850`
3×	`unswap-sqr_binary64_6866`
2×	`pow-prod-down_binary64_6969` `prod-exp_binary64_6947` `cbrt-unprod_binary64_6931` `difference-of-sqr-1_binary64_6868` `*-commutative_binary64_6829` `div-inv_binary64_6895` `frac-add_binary64_6906`
1×	`diff-cos_binary64_7049` `diff-log_binary64_6990` `sum-log_binary64_6989` `flip3-+_binary64_6901` `flip-+_binary64_6872` `+-commutative_binary64_6828`

Counts

4 → 137

Calls

4 calls:

15.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
13.0ms	(+.f64 (.f64 (cos.f64 x) (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3))))
9.0ms	(*.f64 3/2 (-.f64 (sqrt.f64 5) 1))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 7969 to 5354 computations (32.8% saved)

series656.0ms (3.5%)

Error

0.1b

Counts

4 → 31

Calls

4 calls:

337.0ms	(+.f64 (.f64 (cos.f64 x) (.f64 3/2 (-.f64 (sqrt.f64 5) 1))) (*.f64 (cos.f64 y) (/.f64 6 (+.f64 (sqrt.f64 5) 3))))
150.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
99.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
0.0ms	(*.f64 3/2 (-.f64 (sqrt.f64 5) 1))

Compiler

Compiled 4149 to 3154 computations (24% saved)

simplify88.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5152	3468

prune510.0ms (2.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	167	1	168
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	168	12	180

Error

0.1b

Counts

180 → 12

Compiler

Compiled 9052 to 6020 computations (33.5% saved)

regimes1.2s (6.1%)

Accuracy

Total 0.3b remaining (72.5%)

Threshold costs 0.3b (72.5%)

Compiler

Compiled 17852 to 14242 computations (20.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	83	77
1	83	77

end0.0ms (0%)

sample9.7s (51.1%)

Algorithm

1×

intervals

Results

3.2s	3468×	body	1024	valid
870.0ms	1438×	body	512	valid
474.0ms	2500×	body	128	valid
235.0ms	579×	body	256	valid
24.0ms	15×	body	2048	valid

Compiler

Compiled 6015 to 4799 computations (20.2% saved)

Details

analyze880.0ms (4.6%)

sample172.0ms (0.9%)

simplify49.0ms (0.3%)

prune8.0ms (0%)

localize31.0ms (0.2%)

rewrite480.0ms (2.5%)

series399.0ms (2.1%)

simplify85.0ms (0.4%)

prune473.0ms (2.5%)

localize35.0ms (0.2%)

rewrite472.0ms (2.5%)

series448.0ms (2.4%)

simplify62.0ms (0.3%)

prune521.0ms (2.8%)

localize39.0ms (0.2%)

rewrite493.0ms (2.6%)

series966.0ms (5.1%)

simplify70.0ms (0.4%)

prune612.0ms (3.2%)

localize35.0ms (0.2%)

rewrite522.0ms (2.8%)

series656.0ms (3.5%)

simplify88.0ms (0.5%)

prune510.0ms (2.7%)

regimes1.2s (6.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample9.7s (51.1%)

Profiling