Details

analyze2.7s (13.7%)

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)

sample4.5s (22.5%)

Results

2.3s	2066×	body	1024	valid
1.0s	4580×	body	128	valid
754.0ms	1084×	body	512	valid
248.0ms	525×	body	256	valid
4.0ms	1×	body	2048	valid
1.0ms	1×	body	1024	invalid
0.0ms	2×	body	128	invalid

Compiler

Compiled 83 to 68 computations (18.1% saved)

simplify109.0ms (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

prune4.0ms (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

11.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	11.1b	(.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)

localize12.0ms (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)))
✓	0.1b	(.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2))
✓	0.1b	(.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2)))
✓	10.4b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))

series238.0ms (1.2%)

Counts

4 → 120

Calls

4 calls:

132.0ms	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
86.0ms	(/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))
10.0ms	(.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2)))
10.0ms	(.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2))

rewrite258.0ms (1.3%)

Algorithm

4×	egg-rewrite

Rules

67×	`egg`
41×	`egg`
35×	`egg`
33×	`egg`

Counts

4 → 176

Calls

4 calls:

101.0ms	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
61.0ms	(/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))
47.0ms	(.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2)))
46.0ms	(.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	32
1	332	32
2	3564	32
3	4970	32
4	5134	32
0	9	12
1	187	12
2	2083	12
3	4957	12
0	8	12
1	168	12
2	1963	12
3	4946	12
0	10	15
1	215	15
2	2781	15
3	5011	15

simplify116.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

826×	`fma-def_binary64`
616×	`fma-neg_binary64`
345×	`cancel-sign-sub-inv_binary64`
218×	`neg-mul-1_binary64`
192×	`associate-/r/_binary64`

Counts

296 → 234

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	196	3231
1	559	3137
2	2104	3011
3	4617	3003
4	5065	3003

prune269.0ms (1.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	225	9	234
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	226	9	235

Error

0.0b

Counts

235 → 9

Alt Table

Status	Error	Program
	12.1b	(pow.f64 (cbrt.f64 (.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))))))) 3)
	46.0b	(neg.f64 U)
	24.6b	(.f64 (.f64 (sqrt.f64 (cos.f64 (/.f64 K 2))) (.f64 (sqrt.f64 (cos.f64 (/.f64 K 2))) (.f64 -2 J))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))))
▶	11.5b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) 2) (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (.f64 -2 J))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))))
	36.7b	(pow.f64 (sqrt.f64 (.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))))))) 2)
	38.3b	(.f64 (sqrt.f64 (.f64 -2 J)) (.f64 (sqrt.f64 (.f64 -2 J)) (.f64 (cos.f64 (/.f64 K 2)) (hypot.f64 1 (/.f64 U (.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))))))))
	12.2b	(.f64 (pow.f64 (cbrt.f64 (.f64 -2 J)) 2) (.f64 (cbrt.f64 (.f64 -2 J)) (.f64 (cos.f64 (/.f64 K 2)) (hypot.f64 1 (/.f64 U (.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))))))))
	11.6b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (pow.f64 (cbrt.f64 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (+.f64 J J)))) 3)))
	44.5b	U

Compiler

Compiled 7362 to 5462 computations (25.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) 2) (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (*.f64 -2 J)))
✓	0.3b	(pow.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) 2)
✓	0.3b	(cbrt.f64 (cos.f64 (/.f64 K 2)))
✓	10.4b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) 2) (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (.f64 -2 J))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))))

series620.0ms (3.1%)

Counts

4 → 84

Calls

4 calls:

229.0ms	(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) 2) (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (.f64 -2 J))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))))
206.0ms	(pow.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) 2)
174.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
10.0ms	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) 2) (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (*.f64 -2 J)))

rewrite281.0ms (1.4%)

Algorithm

4×	egg-rewrite

Rules

46×	`egg`
39×	`egg`
29×	`egg`
26×	`egg`

Counts

4 → 140

Calls

4 calls:

85.0ms	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) 2) (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (*.f64 -2 J)))
78.0ms	(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) 2) (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (.f64 -2 J))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))))
75.0ms	(pow.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) 2)
41.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	32
1	392	32
2	4200	32
3	4853	32
0	6	8
1	124	8
2	1397	8
3	5054	8
0	7	11
1	146	9
2	1539	9
3	4940	9
4	4957	9
0	12	12
1	247	12
2	2687	12
3	4908	12
4	4964	12

simplify127.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

836×	`fma-def_binary64`
583×	`fma-neg_binary64`
335×	`cancel-sign-sub-inv_binary64`
172×	`associate-/r/_binary64`
154×	`sub-neg_binary64`

Counts

224 → 200

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	206	2579
1	577	2493
2	2115	2373
3	4656	2365
4	4994	2365
5	4954	2365

prune279.0ms (1.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	237	1	238
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	238	9	247

Error

Counts

247 → 9

Alt Table

Status	Error	Program
	12.1b	(pow.f64 (cbrt.f64 (.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))))))) 3)
	46.0b	(neg.f64 U)
	24.6b	(.f64 (.f64 (sqrt.f64 (cos.f64 (/.f64 K 2))) (.f64 (sqrt.f64 (cos.f64 (/.f64 K 2))) (.f64 -2 J))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))))
✓	11.5b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) 2) (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (.f64 -2 J))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))))
	36.7b	(pow.f64 (sqrt.f64 (.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))))))) 2)
	12.2b	(.f64 (pow.f64 (cbrt.f64 (.f64 -2 J)) 2) (.f64 (cbrt.f64 (.f64 -2 J)) (.f64 (cos.f64 (/.f64 K 2)) (hypot.f64 1 (/.f64 U (.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))))))))
▶	11.6b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (pow.f64 (cbrt.f64 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (+.f64 J J)))) 3)))
	24.7b	(.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (cos.f64 (/.f64 K 2)) 1/6) 2) 2) (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (.f64 -2 J))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))))
	44.5b	U

Compiler

Compiled 8593 to 6774 computations (21.2% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2)))
✓	0.5b	(pow.f64 (cbrt.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K 2)) (+.f64 J J)))) 3)
✓	10.4b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (pow.f64 (cbrt.f64 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (+.f64 J J)))) 3)))
✓	20.3b	(cbrt.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K 2)) (+.f64 J J))))

series3.7s (18.4%)

Counts

3 → 108

Calls

3 calls:

1.6s

(*.f64 (*.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (pow.f64 (cbrt.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K 2)) (+.f64 J J)))) 3)))

1.2s

(pow.f64 (cbrt.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K 2)) (+.f64 J J)))) 3)

938.0ms

(cbrt.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K 2)) (+.f64 J J))))

rewrite319.0ms (1.6%)

Algorithm

3×	egg-rewrite

Rules

68×	`egg`
40×	`egg`
30×	`egg`

Counts

3 → 138

Calls

3 calls:

123.0ms

(pow.f64 (cbrt.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K 2)) (+.f64 J J)))) 3)

120.0ms

(cbrt.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K 2)) (+.f64 J J))))

72.0ms

(*.f64 (*.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (pow.f64 (cbrt.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K 2)) (+.f64 J J)))) 3)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	243	17
2	3043	17
3	4814	17
4	4757	17
5	4865	17
0	19	32
1	387	32
2	3994	32
3	4891	32
0	13	15
1	272	15
2	3245	15
3	4983	15
4	4680	15
5	4805	15

simplify101.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

778×	`fma-def_binary64`
471×	`times-frac_binary64`
424×	`associate-/l*_binary64`
183×	`associate-r_binary64`
161×	`*-commutative_binary64`

Counts

246 → 192

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	238	4102
1	628	3890
2	1919	3686
3	5178	3686

prune229.0ms (1.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	233	0	233
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	233	9	242

Error

Counts

242 → 9

Alt Table

Status	Error	Program
▶	12.1b	(pow.f64 (cbrt.f64 (.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))))))) 3)
	46.0b	(neg.f64 U)
	24.6b	(.f64 (.f64 (sqrt.f64 (cos.f64 (/.f64 K 2))) (.f64 (sqrt.f64 (cos.f64 (/.f64 K 2))) (.f64 -2 J))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))))
✓	11.5b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) 2) (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (.f64 -2 J))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))))
	36.7b	(pow.f64 (sqrt.f64 (.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))))))) 2)
	12.2b	(.f64 (pow.f64 (cbrt.f64 (.f64 -2 J)) 2) (.f64 (cbrt.f64 (.f64 -2 J)) (.f64 (cos.f64 (/.f64 K 2)) (hypot.f64 1 (/.f64 U (.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))))))))
✓	11.6b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (pow.f64 (cbrt.f64 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (+.f64 J J)))) 3)))
	24.7b	(.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (cos.f64 (/.f64 K 2)) 1/6) 2) 2) (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (.f64 -2 J))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))))
	44.5b	U

Compiler

Compiled 7685 to 5447 computations (29.1% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2)))
✓	0.5b	(cbrt.f64 (.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2)))))))
✓	0.7b	(pow.f64 (cbrt.f64 (.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))))))) 3)
✓	10.4b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))))))

series3.5s (17.4%)

Counts

3 → 108

Calls

3 calls:

2.1s

(pow.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (*.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))))))) 3)

1.3s

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

126.0ms

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

rewrite283.0ms (1.4%)

Algorithm

3×	egg-rewrite

Rules

50×	`egg`
39×	`egg`
25×	`egg`

Counts

3 → 114

Calls

3 calls:

103.0ms

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

100.0ms

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

77.0ms

(pow.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (*.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))))))) 3)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	290	32
2	3490	32
3	4921	32
4	5100	32
0	17	32
1	338	32
2	3911	32
3	4899	32
0	15	34
1	308	34
2	3687	34
3	4957	34
4	4909	34

simplify142.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

437×	`fma-def_binary64`
387×	`times-frac_binary64`
331×	`associate-/l*_binary64`
295×	`associate-/r*_binary64`
250×	`*-commutative_binary64`

Counts

222 → 216

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	614	9058
1	1848	8304
2	4960	8304

prune350.0ms (1.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	298	0	298
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	298	9	307

Error

Counts

307 → 9

Alt Table

Status	Error	Program
✓	12.1b	(pow.f64 (cbrt.f64 (.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))))))) 3)
	46.0b	(neg.f64 U)
	24.6b	(.f64 (.f64 (sqrt.f64 (cos.f64 (/.f64 K 2))) (.f64 (sqrt.f64 (cos.f64 (/.f64 K 2))) (.f64 -2 J))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))))
✓	11.5b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) 2) (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (.f64 -2 J))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))))
	36.7b	(pow.f64 (sqrt.f64 (.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))))))) 2)
	12.2b	(.f64 (pow.f64 (cbrt.f64 (.f64 -2 J)) 2) (.f64 (cbrt.f64 (.f64 -2 J)) (.f64 (cos.f64 (/.f64 K 2)) (hypot.f64 1 (/.f64 U (.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))))))))
✓	11.6b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (pow.f64 (cbrt.f64 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (+.f64 J J)))) 3)))
	24.7b	(.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (cos.f64 (/.f64 K 2)) 1/6) 2) 2) (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (.f64 -2 J))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))))
	44.5b	U

Compiler

Compiled 14311 to 11512 computations (19.6% saved)

regimes1.4s (6.9%)

Accuracy

Total 10.0b remaining (99.7%)

Threshold costs 0b (0%)

Counts

150 → 4

Compiler

Compiled 22952 to 18210 computations (20.7% saved)

bsearch254.0ms (1.3%)

Steps

Iters

Range

Point

8.105157445422227e-206

3.279495073039574e-192

9.096025868775934e-206

-1.720217475873151e-278

-2.968884789068076e-287

-7.086648613513012e-283

-4.1995540793340414e-148

-3.4763475684672655e-157

-3.733683180945843e-157

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	107
1	55	107
2	57	107
3	58	107
4	57	107

end198.0ms (1%)

Compiler: Compiled 370 to 290 computations (21.6% saved)

Details

analyze2.7s (13.7%)

sample4.5s (22.5%)

simplify109.0ms (0.5%)

prune4.0ms (0%)

localize12.0ms (0.1%)

series238.0ms (1.2%)

rewrite258.0ms (1.3%)

simplify116.0ms (0.6%)

prune269.0ms (1.3%)

localize16.0ms (0.1%)

series620.0ms (3.1%)

rewrite281.0ms (1.4%)

simplify127.0ms (0.6%)

prune279.0ms (1.4%)

localize17.0ms (0.1%)

series3.7s (18.4%)

rewrite319.0ms (1.6%)

simplify101.0ms (0.5%)

prune229.0ms (1.1%)

localize14.0ms (0.1%)

series3.5s (17.4%)

rewrite283.0ms (1.4%)

simplify142.0ms (0.7%)

prune350.0ms (1.7%)

regimes1.4s (6.9%)

bsearch254.0ms (1.3%)

simplify5.0ms (0%)

end198.0ms (1%)

Profiling