Details

analyze5.2s (25%)

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
15.6%	84.3%	0.1%	8
15.6%	84.3%	0.1%	9
15.6%	84.3%	0.1%	10
30.4%	69.4%	0.1%	11
30.4%	69.4%	0.1%	12
30.4%	69.4%	0.1%	13
39.6%	60.3%	0.1%	14

Compiler

Compiled 28 to 23 computations (17.9% saved)

sample224.0ms (1.1%)

Algorithm

1×

intervals

Results

107.0ms	60×	body	1024	valid
43.0ms	143×	body	128	valid
33.0ms	30×	body	512	valid
17.0ms	23×	body	256	valid

Compiler

Compiled 58 to 48 computations (17.2% saved)

simplify108.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1043×	`associate-*l/_binary64`
692×	`associate-/l/_binary64`
651×	`associate-/r/_binary64`
474×	`associate-/l*_binary64`
398×	`times-frac_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	37
1	37	32
2	83	32
3	208	32
4	742	32
5	2273	32
6	2474	32
7	2875	32
8	3015	32
9	3126	32
10	3234	32
11	4835	32
12	4953	32
13	4880	32

prune8.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

8.9b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	8.9b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))

Compiler

Compiled 96 to 76 computations (20.8% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))
✓	0.2b	(.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2))
✓	0.2b	(.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2)))
✓	8.3b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))

rewrite71.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-cbrt-cube_binary64`
32×	`add-exp-log_binary64`
23×	`pow1_binary64`
15×	`cbrt-unprod_binary64`
15×	`prod-exp_binary64`

Counts

4 → 88

Calls

4 calls:

12.0ms	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
9.0ms	(/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))
8.0ms	(.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2)))
8.0ms	(.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2))

series858.0ms (4.1%)

Counts

4 → 120

Calls

4 calls:

438.0ms	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
251.0ms	(/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))
84.0ms	(.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2))
83.0ms	(.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2)))

simplify379.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

836×	`fma-def_binary64`
375×	`associate-l_binary64`
303×	`fma-neg_binary64`
300×	`associate-r_binary64`
204×	`*-commutative_binary64`

Counts

208 → 349

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	323	5501
1	854	4903
2	3368	4868
3	4900	4868
4	4981	4868
5	4956	4868

prune420.0ms (2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	342	7	349
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	343	7	350

Error

0.0b

Counts

350 → 7

Alt Table

Status	Error	Program
	24.5b	(.f64 (.f64 (.f64 (.f64 -2 J) (sqrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (cos.f64 (/.f64 K 2)))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))))
	37.1b	(.f64 (.f64 (sqrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2)))) (sqrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))))
	10.0b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2)))) (cbrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))))) (cbrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
▶	8.9b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 (/.f64 U (cos.f64 (/.f64 K 2))) (.f64 J 2))))
	45.3b	U
	51.8b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (.f64 -2 J) (.f64 -2 J)) (.f64 -2 J)) (.f64 (.f64 (cos.f64 (/.f64 K 2)) (cos.f64 (/.f64 K 2))) (cos.f64 (/.f64 K 2)))) (.f64 (.f64 (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))))
	47.4b	(neg.f64 U)

Compiler

Compiled 6682 to 5009 computations (25% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 U (cos.f64 (/.f64 K 2)))
✓	0.1b	(/.f64 (/.f64 U (cos.f64 (/.f64 K 2))) (*.f64 J 2))
	0.2b	(.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2)))
✓	8.3b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 (/.f64 U (cos.f64 (/.f64 K 2))) (.f64 J 2))))

rewrite41.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`times-frac_binary64`
26×	`*-un-lft-identity_binary64`
26×	`add-sqr-sqrt_binary64`
26×	`add-cube-cbrt_binary64`
26×	`add-cbrt-cube_binary64`

Counts

3 → 100

Calls

3 calls:

12.0ms	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 (/.f64 U (cos.f64 (/.f64 K 2))) (.f64 J 2))))
11.0ms	(/.f64 (/.f64 U (cos.f64 (/.f64 K 2))) (*.f64 J 2))
5.0ms	(/.f64 U (cos.f64 (/.f64 K 2)))

series731.0ms (3.5%)

Counts

3 → 96

Calls

3 calls:

406.0ms	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 (/.f64 U (cos.f64 (/.f64 K 2))) (.f64 J 2))))
230.0ms	(/.f64 (/.f64 U (cos.f64 (/.f64 K 2))) (*.f64 J 2))
94.0ms	(/.f64 U (cos.f64 (/.f64 K 2)))

simplify312.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

815×	`fma-def_binary64`
330×	`associate-l_binary64`
258×	`associate-r_binary64`
227×	`fma-neg_binary64`
204×	`*-commutative_binary64`

Counts

196 → 310

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	373	5486
1	944	4956
2	3531	4930
3	4930	4930
4	4963	4930

prune450.0ms (2.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	373	1	374
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	374	7	381

Error

0.0b

Counts

381 → 7

Alt Table

Status	Error	Program
	24.5b	(.f64 (.f64 (.f64 (.f64 -2 J) (sqrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (cos.f64 (/.f64 K 2)))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))))
	37.1b	(.f64 (.f64 (sqrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2)))) (sqrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))))
▶	10.0b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2)))) (cbrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))))) (cbrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
✓	8.9b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 (/.f64 U (cos.f64 (/.f64 K 2))) (.f64 J 2))))
	45.3b	U
	44.9b	(cbrt.f64 (pow.f64 (.f64 (.f64 (.f64 J -2) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 (/.f64 U (cos.f64 (/.f64 K 2))) (.f64 2 J)))) 3))
	47.4b	(neg.f64 U)

Compiler

Compiled 7812 to 5818 computations (25.5% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(cbrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))))
	0.5b	(cbrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))))
✓	0.5b	(cbrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))))
✓	8.3b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2)))) (cbrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))))) (cbrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))

rewrite34.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-exp-log_binary64`
11×	`pow1_binary64`
7×	`add-cbrt-cube_binary64`
6×	`cbrt-unprod_binary64`
6×	`prod-exp_binary64`

Counts

2 → 34

Calls

2 calls:

23.0ms

(*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2)))) (cbrt.f64 (*.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))))) (cbrt.f64 (*.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))))) (hypot.f64 1 (/.f64 U (*.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))

5.0ms

(cbrt.f64 (*.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))))

series2.1s (10.2%)

Counts

2 → 60

Calls

2 calls:

1.4s

(cbrt.f64 (*.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))))

712.0ms

(*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2)))) (cbrt.f64 (*.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))))) (cbrt.f64 (*.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))))) (hypot.f64 1 (/.f64 U (*.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))

simplify221.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

490×	`cancel-sign-sub-inv_binary64`
370×	`associate-l_binary64`
353×	`associate-r_binary64`
326×	`fma-neg_binary64`
220×	`*-commutative_binary64`

Counts

94 → 174

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	322	3926
1	885	3445
2	3425	3393
3	4987	3393

prune384.0ms (1.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	353	1	354
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	353	8	361

Error

0.0b

Counts

361 → 8

Alt Table

Status	Error	Program
▶	9.9b	(.f64 (.f64 (.f64 (.f64 (cbrt.f64 -2) (cbrt.f64 (.f64 J (cos.f64 (.f64 1/2 K))))) (cbrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))))) (cbrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))))
✓	10.0b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2)))) (cbrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))))) (cbrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
	24.5b	(.f64 (.f64 (.f64 (.f64 -2 J) (sqrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (cos.f64 (/.f64 K 2)))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))))
	37.1b	(.f64 (.f64 (sqrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2)))) (sqrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))))
✓	8.9b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 (/.f64 U (cos.f64 (/.f64 K 2))) (.f64 J 2))))
	45.3b	U
	44.9b	(cbrt.f64 (pow.f64 (.f64 (.f64 (.f64 J -2) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 (/.f64 U (cos.f64 (/.f64 K 2))) (.f64 2 J)))) 3))
	47.4b	(neg.f64 U)

Compiler

Compiled 8313 to 6532 computations (21.4% saved)

localize49.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(cbrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))))
✓	0.6b	(cbrt.f64 (.f64 J (cos.f64 (.f64 1/2 K))))
✓	1.0b	(cbrt.f64 -2)
✓	8.3b	(.f64 (.f64 (.f64 (.f64 (cbrt.f64 -2) (cbrt.f64 (.f64 J (cos.f64 (.f64 1/2 K))))) (cbrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))))) (cbrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))))

rewrite34.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-exp-log_binary64`
17×	`pow1_binary64`
10×	`cbrt-unprod_binary64`
10×	`add-cbrt-cube_binary64`
10×	`prod-exp_binary64`

Counts

3 → 50

Calls

3 calls:

21.0ms

(*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 -2) (cbrt.f64 (*.f64 J (cos.f64 (*.f64 1/2 K))))) (cbrt.f64 (*.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))))) (cbrt.f64 (*.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))))) (hypot.f64 1 (/.f64 U (*.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))

4.0ms

(cbrt.f64 (*.f64 J (cos.f64 (*.f64 1/2 K))))

1.0ms

(cbrt.f64 -2)

series2.1s (10.2%)

Counts

3 → 60

Calls

3 calls:

1.3s

(cbrt.f64 (*.f64 J (cos.f64 (*.f64 1/2 K))))

802.0ms

(*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 -2) (cbrt.f64 (*.f64 J (cos.f64 (*.f64 1/2 K))))) (cbrt.f64 (*.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))))) (cbrt.f64 (*.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))))) (hypot.f64 1 (/.f64 U (*.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))

0.0ms

(cbrt.f64 -2)

simplify242.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

486×	`associate-l_binary64`
449×	`associate-r_binary64`
274×	`*-commutative_binary64`
270×	`fma-neg_binary64`
210×	`times-frac_binary64`

Counts

110 → 196

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	347	5418
1	965	4491
2	4111	4357
3	4983	4357

prune362.0ms (1.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	434	2	436
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	434	10	444

Error

0.0b

Counts

444 → 10

Alt Table

Status	Error	Program
✓	9.9b	(.f64 (.f64 (.f64 (.f64 (cbrt.f64 -2) (cbrt.f64 (.f64 J (cos.f64 (.f64 1/2 K))))) (cbrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))))) (cbrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))))
✓	10.0b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2)))) (cbrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))))) (cbrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
	10.3b	(.f64 (.f64 (.f64 (.f64 (cbrt.f64 -2) (cbrt.f64 (.f64 J (cos.f64 (.f64 1/2 K))))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))))) (cbrt.f64 (cbrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2)))))) (cbrt.f64 (cbrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))))))) (cbrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))))
	44.9b	(cbrt.f64 (pow.f64 (.f64 (.f64 (.f64 J -2) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 (/.f64 U (cos.f64 (/.f64 K 2))) (.f64 2 J)))) 3))
	24.5b	(.f64 (.f64 (.f64 (.f64 -2 J) (sqrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (cos.f64 (/.f64 K 2)))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))))
	37.1b	(.f64 (.f64 (sqrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2)))) (sqrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))))
✓	8.9b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 (/.f64 U (cos.f64 (/.f64 K 2))) (.f64 J 2))))
	45.3b	U
	10.4b	(.f64 (.f64 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 -2) (cbrt.f64 -2))) (cbrt.f64 (cbrt.f64 -2))) (cbrt.f64 (.f64 J (cos.f64 (.f64 1/2 K))))) (cbrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))))) (cbrt.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))))
	47.4b	(neg.f64 U)

Compiler

Compiled 8179 to 6491 computations (20.6% saved)

regimes1.1s (5.2%)

Accuracy

Total 8.2b remaining (99.4%)

Threshold costs 0b (0%)

Compiler

Compiled 12320 to 9642 computations (21.7% saved)

bsearch259.0ms (1.2%)

Steps

Iters	Range		Point
10	2.761200941314514e+287	1.8136445754372993e+298	3.069282919857268e+290
8	2.715024095267139e+216	2.0147564623685858e+220	1.1056860198100382e+220

Compiler

Compiled 4 to 3 computations (25% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	84
1	38	84
2	37	84

end2.0ms (0%)

Compiler: Compiled 58 to 43 computations (25.9% saved)

sample5.1s (24.3%)

Algorithm

1×

intervals

Results

2.5s	2001×	body	1024	valid
933.0ms	4485×	body	128	valid
717.0ms	983×	body	512	valid
246.0ms	529×	body	256	valid
5.0ms	2×	body	2048	valid
1.0ms	3×	body	128	invalid

Compiler

Compiled 429 to 344 computations (19.8% saved)

Details

analyze5.2s (25%)

sample224.0ms (1.1%)

simplify108.0ms (0.5%)

prune8.0ms (0%)

localize26.0ms (0.1%)

rewrite71.0ms (0.3%)

series858.0ms (4.1%)

simplify379.0ms (1.8%)

prune420.0ms (2%)

localize27.0ms (0.1%)

rewrite41.0ms (0.2%)

series731.0ms (3.5%)

simplify312.0ms (1.5%)

prune450.0ms (2.1%)

localize32.0ms (0.2%)

rewrite34.0ms (0.2%)

series2.1s (10.2%)

simplify221.0ms (1.1%)

prune384.0ms (1.8%)

localize49.0ms (0.2%)

rewrite34.0ms (0.2%)

series2.1s (10.2%)

simplify242.0ms (1.2%)

prune362.0ms (1.7%)

regimes1.1s (5.2%)

bsearch259.0ms (1.2%)

simplify8.0ms (0%)

end2.0ms (0%)

sample5.1s (24.3%)

Profiling