Details

analyze2.7s (15.5%)

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
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 (26.4%)

Results

2.3s	2060×	body	1024	valid
1.1s	4697×	body	128	valid
709.0ms	992×	body	512	valid
240.0ms	507×	body	256	valid
3.0ms	3×	body	1024	invalid
0.0ms	2×	body	128	invalid

Compiler

Compiled 83 to 68 computations (18.1% saved)

simplify81.0ms (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

7.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	7.3b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))

Compiler

Compiled 96 to 76 computations (20.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2))
✓	0.1b	(.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2)))
✓	0.1b	(/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))
✓	6.8b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))

series159.0ms (0.9%)

Counts

4 → 120

Calls

4 calls:

96.0ms	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
44.0ms	(/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))
9.0ms	(.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2)))
9.0ms	(.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2))

rewrite100.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

258×	`prod-diff_binary64`
250×	`expm1-udef_binary64`
250×	`log1p-udef_binary64`
219×	`log-pow_binary64`
161×	`add-sqr-sqrt_binary64`

Counts

4 → 104

Calls

4 calls:

98.0ms	(.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2))
98.0ms	(.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2)))
98.0ms	(/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))
98.0ms	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	71
1	332	71
2	3564	71
3	4970	71
4	5134	71

simplify98.0ms (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

224 → 144

Iterations

Useful iterations: 3 (0.0ms)

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

prune137.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	139	5	144
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	139	6	145

Error

0.0b

Counts

145 → 6

Alt Table

Status	Error	Program
	49.2b	U
✓	7.3b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
	44.3b	(neg.f64 U)
	34.2b	(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)
▶	8.3b	(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)
	36.9b	(.f64 (.f64 J (-.f64 (.f64 1/4 (.f64 K K)) (fma.f64 (pow.f64 K 4) 1/192 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))))

Compiler

Compiled 4707 to 3531 computations (25% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 U (.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)
✓	6.8b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))))))

series2.3s (13.7%)

Counts

4 → 144

Calls

4 calls:

1.3s	(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)
899.0ms	(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)))))))
96.0ms	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))))))
45.0ms	(/.f64 U (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))))

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

275×	`expm1-udef_binary64`
275×	`log1p-udef_binary64`
157×	`add-sqr-sqrt_binary64`
151×	`log1p-expm1-u_binary64`
151×	`expm1-log1p-u_binary64`

Counts

4 → 133

Calls

4 calls:

75.0ms	(/.f64 U (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))))
75.0ms	(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)))))))
75.0ms	(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)
75.0ms	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	113
1	338	113
2	3911	113
3	4899	113

simplify180.0ms (1%)

Algorithm

1×	egg-herbie

Rules

453×	`fma-def_binary64`
389×	`times-frac_binary64`
347×	`associate-/l*_binary64`
299×	`associate-/r*_binary64`
260×	`*-commutative_binary64`

Counts

277 → 269

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	640	9650
1	1925	8896
2	4895	8866
3	4944	8866

prune331.0ms (1.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	267	2	269
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	267	8	275

Error

0.0b

Counts

275 → 8

Alt Table

Status	Error	Program
	8.7b	(.f64 (pow.f64 (cbrt.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)))))))) 2) (.f64 (cbrt.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)))))))) (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))))))) 2)))
✓	8.3b	(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)
	49.2b	U
✓	7.3b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
	44.3b	(neg.f64 U)
	34.2b	(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)
▶	8.4b	(.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))))))))
	36.9b	(.f64 (.f64 J (-.f64 (.f64 1/4 (.f64 K K)) (fma.f64 (pow.f64 K 4) 1/192 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))))

Compiler

Compiled 13660 to 10930 computations (20% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 -2 J)) 2)
✓	0.6b	(cbrt.f64 (*.f64 -2 J))
✓	1.4b	(.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)))))))
✓	5.8b	(.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))))))))

series653.0ms (3.8%)

Counts

4 → 96

Calls

4 calls:

357.0ms	(.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)))))))
201.0ms	(.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))))))))
56.0ms	(pow.f64 (cbrt.f64 (*.f64 -2 J)) 2)
38.0ms	(cbrt.f64 (*.f64 -2 J))

rewrite76.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

307×	`log1p-udef_binary64`
176×	`add-sqr-sqrt_binary64`
169×	`associate-r_binary64`
165×	`log1p-expm1-u_binary64`
165×	`expm1-log1p-u_binary64`

Counts

4 → 81

Calls

4 calls:

73.0ms	(pow.f64 (cbrt.f64 (*.f64 -2 J)) 2)
73.0ms	(cbrt.f64 (*.f64 -2 J))
73.0ms	(.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)))))))
73.0ms	(.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))))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	81
1	371	81
2	4359	81
3	5089	81

simplify111.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

433×	`fma-neg_binary64`
409×	`associate-r_binary64`
335×	`associate-l_binary64`
285×	`*-commutative_binary64`
269×	`unswap-sqr_binary64`

Counts

177 → 169

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	351	5042
1	1042	4743
2	4046	4731
3	5220	4731

prune204.0ms (1.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	196	2	198
Fresh	2	3	5
Picked	0	1	1
Done	1	1	2
Total	199	7	206

Error

Counts

206 → 7

Alt Table

Status	Error	Program
	32.3b	(.f64 (cbrt.f64 (.f64 4 (.f64 J J))) (.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))))))))
	49.2b	U
	8.8b	(.f64 (pow.f64 (cbrt.f64 (.f64 -2 J)) 2) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 -2 J))) 3) (.f64 (cos.f64 (/.f64 K 2)) (hypot.f64 1 (/.f64 U (.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))))))))
✓	7.3b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
	44.3b	(neg.f64 U)
▶	8.7b	(.f64 (pow.f64 (cbrt.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)))))))) 2) (.f64 (cbrt.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)))))))) (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))))))) 2)))
✓	8.4b	(.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))))))))

Compiler

Compiled 8599 to 6759 computations (21.4% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(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))))))) 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)))))))
✓	0.5b	(cbrt.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))))))))
	6.8b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))))))

series2.6s (15.1%)

Counts

2 → 72

Calls

2 calls:

1.5s

(cbrt.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))))))))

1.1s

(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))))))) 2)

rewrite70.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

283×	`expm1-udef_binary64`
283×	`log1p-udef_binary64`
163×	`add-sqr-sqrt_binary64`
153×	`add-cbrt-cube_binary64`
153×	`log1p-expm1-u_binary64`

Counts

2 → 47

Calls

2 calls:

68.0ms

(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))))))) 2)

68.0ms

(cbrt.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))))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	73
1	346	73
2	3986	73
3	5045	73

simplify131.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

697×	`associate-l_binary64`
458×	`fma-def_binary64`
303×	`*-commutative_binary64`
286×	`times-frac_binary64`
248×	`associate-/r*_binary64`

Counts

119 → 162

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	680	9025
1	1898	8241
2	5937	8241

prune1.8s (10.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	662	0	662
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	662	7	669

Error

Counts

669 → 7

Alt Table

Status	Error	Program
	32.3b	(.f64 (cbrt.f64 (.f64 4 (.f64 J J))) (.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))))))))
	49.2b	U
	8.8b	(.f64 (pow.f64 (cbrt.f64 (.f64 -2 J)) 2) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 -2 J))) 3) (.f64 (cos.f64 (/.f64 K 2)) (hypot.f64 1 (/.f64 U (.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))))))))
✓	7.3b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
	44.3b	(neg.f64 U)
✓	8.7b	(.f64 (pow.f64 (cbrt.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)))))))) 2) (.f64 (cbrt.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)))))))) (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))))))) 2)))
✓	8.4b	(.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))))))))

Compiler

Compiled 73235 to 58989 computations (19.5% saved)

regimes585.0ms (3.4%)

Accuracy

Total 8.2b remaining (99.5%)

Threshold costs 0b (0%)

Counts

52 → 2

Compiler

Compiled 11030 to 8802 computations (20.2% saved)

bsearch3.0ms (0%)

Compiler: Compiled 27 to 22 computations (18.5% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
2×	`+-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	28	77
1	37	77
2	39	77
3	40	77
4	39	77

end169.0ms (1%)

Compiler: Compiled 315 to 252 computations (20% saved)

Details

analyze2.7s (15.5%)

sample4.5s (26.4%)

simplify81.0ms (0.5%)

prune4.0ms (0%)

localize11.0ms (0.1%)

series159.0ms (0.9%)

rewrite100.0ms (0.6%)

simplify98.0ms (0.6%)

prune137.0ms (0.8%)

localize15.0ms (0.1%)

series2.3s (13.7%)

rewrite78.0ms (0.5%)

simplify180.0ms (1%)

prune331.0ms (1.9%)

localize15.0ms (0.1%)

series653.0ms (3.8%)

rewrite76.0ms (0.4%)

simplify111.0ms (0.6%)

prune204.0ms (1.2%)

localize17.0ms (0.1%)

series2.6s (15.1%)

rewrite70.0ms (0.4%)

simplify131.0ms (0.8%)

prune1.8s (10.6%)

regimes585.0ms (3.4%)

bsearch3.0ms (0%)

simplify3.0ms (0%)

end169.0ms (1%)

Profiling