Details

analyze3.7s (29.5%)

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
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
0%	99.9%	0.1%	10
0%	99.9%	0.1%	11
0%	99.9%	0.1%	12
0%	99.9%	0.1%	13
0%	99.9%	0.1%	14

Compiler

Compiled 28 to 23 computations (17.9% saved)

sample4.4s (35.1%)

Results

2.3s	2023×	body	1024	valid
1.0s	4675×	body	128	valid
758.0ms	1028×	body	512	valid
246.0ms	527×	body	256	valid
6.0ms	1×	body	8192	exit
5.0ms	3×	body	2048	valid

Compiler

Compiled 83 to 68 computations (18.1% saved)

simplify83.0ms (0.7%)

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

7.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	7.1b	(.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)

localize11.0ms (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)))
✓	6.6b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))

series195.0ms (1.5%)

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)))))
41.0ms	(/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))
12.0ms	(.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2))
10.0ms	(.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2)))

rewrite22.0ms (0.2%)

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:

5.0ms	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
4.0ms	(/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))
4.0ms	(.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2)))
4.0ms	(.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2))

simplify174.0ms (1.4%)

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 → 190

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

prune185.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	186	4	190
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	186	5	191

Error

0.0b

Counts

191 → 5

Alt Table

Status	Error	Program
	43.4b	(neg.f64 U)
	43.9b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2))))) (.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))))) (.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))))
	47.8b	U
▶	21.1b	(.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)))))
✓	7.1b	(.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 6498 to 4862 computations (25.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 (*.f64 -2 J) (sqrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (cos.f64 (/.f64 K 2))))
	0.1b	(/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))
	0.1b	(.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2))
✓	4.5b	(.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)))))

series200.0ms (1.6%)

Counts

2 → 60

Calls

2 calls:

186.0ms

(*.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)))))

13.0ms

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

rewrite24.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-cbrt-cube_binary64`
25×	`add-exp-log_binary64`
25×	`pow1_binary64`
16×	`cbrt-unprod_binary64`
16×	`prod-exp_binary64`

Counts

2 → 52

Calls

2 calls:

9.0ms

(*.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)))))

9.0ms

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

simplify165.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

738×	`fma-def_binary64`
408×	`associate-l_binary64`
321×	`fma-neg_binary64`
278×	`associate-r_binary64`
267×	`cancel-sign-sub-inv_binary64`

Counts

112 → 115

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	262	4014
1	695	3530
2	2794	3500
3	4850	3492
4	4983	3492
5	4964	3492

prune268.0ms (2.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	197	3	200
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	198	7	205

Error

0.0b

Counts

205 → 7

Alt Table

Status	Error	Program
	21.2b	(.f64 (.f64 (.f64 (.f64 (.f64 -2 J) (sqrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (sqrt.f64 (cos.f64 (/.f64 K 2))))) (sqrt.f64 (sqrt.f64 (cos.f64 (/.f64 K 2))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
✓	7.1b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
	47.5b	(.f64 (cbrt.f64 (.f64 (.f64 (.f64 (.f64 (.f64 -2 J) (sqrt.f64 (cos.f64 (/.f64 K 2)))) (.f64 (.f64 -2 J) (sqrt.f64 (cos.f64 (/.f64 K 2))))) (.f64 (.f64 -2 J) (sqrt.f64 (cos.f64 (/.f64 K 2))))) (.f64 (.f64 (sqrt.f64 (cos.f64 (/.f64 K 2))) (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)))))
	43.4b	(neg.f64 U)
	43.9b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2))))) (.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))))) (.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))))
	47.8b	U
▶	21.1b	(.f64 (.f64 (.f64 -2 J) (.f64 (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)))))

Compiler

Compiled 8111 to 6216 computations (23.4% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sqrt.f64 (cos.f64 (/.f64 K 2))) (sqrt.f64 (cos.f64 (/.f64 K 2))))
	0.1b	(/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))
	0.1b	(.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2))
✓	4.5b	(.f64 (.f64 (.f64 -2 J) (.f64 (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)))))

series128.0ms (1%)

Counts

2 → 48

Calls

2 calls:

126.0ms

(*.f64 (*.f64 (*.f64 -2 J) (*.f64 (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)))))

2.0ms

(*.f64 (sqrt.f64 (cos.f64 (/.f64 K 2))) (sqrt.f64 (cos.f64 (/.f64 K 2))))

rewrite24.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`pow1_binary64`
27×	`add-sqr-sqrt_binary64`
22×	`add-cbrt-cube_binary64`
22×	`add-exp-log_binary64`
18×	`sqrt-prod_binary64`

Counts

2 → 82

Calls

2 calls:

11.0ms

(*.f64 (*.f64 (*.f64 -2 J) (*.f64 (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)))))

5.0ms

(*.f64 (sqrt.f64 (cos.f64 (/.f64 K 2))) (sqrt.f64 (cos.f64 (/.f64 K 2))))

simplify120.0ms (1%)

Algorithm

1×	egg-herbie

Rules

676×	`fma-def_binary64`
355×	`associate-l_binary64`
305×	`fma-neg_binary64`
296×	`associate-r_binary64`
270×	`cancel-sign-sub-inv_binary64`

Counts

130 → 140

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	274	4100
1	683	3540
2	2764	3486
3	4566	3466
4	4976	3466

prune325.0ms (2.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	221	4	225
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	223	9	232

Error

0.0b

Counts

232 → 9

Alt Table

Status	Error	Program
	21.5b	(.f64 (.f64 (.f64 -2 J) (.f64 (sqrt.f64 (cos.f64 (/.f64 K 2))) (sqrt.f64 (cos.f64 (/.f64 K 2))))) (hypot.f64 1 (/.f64 (.f64 (cbrt.f64 U) (cbrt.f64 U)) (/.f64 (cos.f64 (/.f64 K 2)) (/.f64 (cbrt.f64 U) (.f64 2 J))))))
	47.5b	(.f64 (cbrt.f64 (.f64 (.f64 (.f64 (.f64 (.f64 -2 J) (sqrt.f64 (cos.f64 (/.f64 K 2)))) (.f64 (.f64 -2 J) (sqrt.f64 (cos.f64 (/.f64 K 2))))) (.f64 (.f64 -2 J) (sqrt.f64 (cos.f64 (/.f64 K 2))))) (.f64 (.f64 (sqrt.f64 (cos.f64 (/.f64 K 2))) (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)))))
	7.5b	(.f64 (.f64 (.f64 -2 J) (.f64 (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2)))) (cbrt.f64 (cos.f64 (/.f64 K 2))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
	47.8b	U
	21.2b	(.f64 (.f64 (.f64 (.f64 (.f64 -2 J) (sqrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (sqrt.f64 (cos.f64 (/.f64 K 2))))) (sqrt.f64 (sqrt.f64 (cos.f64 (/.f64 K 2))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
✓	7.1b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
	43.4b	(neg.f64 U)
▶	7.2b	(.f64 (.f64 (.f64 -2 J) (log1p.f64 (expm1.f64 (cos.f64 (/.f64 K 2))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
	21.3b	(.f64 (.f64 (.f64 -2 J) (.f64 (.f64 (sqrt.f64 (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))) (sqrt.f64 (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2)))))) (.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))))

Compiler

Compiled 9016 to 6961 computations (22.8% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2))
✓	0.2b	(log1p.f64 (expm1.f64 (cos.f64 (/.f64 K 2))))
✓	0.7b	(expm1.f64 (cos.f64 (/.f64 K 2)))
✓	6.6b	(.f64 (.f64 (.f64 -2 J) (log1p.f64 (expm1.f64 (cos.f64 (/.f64 K 2))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))

series137.0ms (1.1%)

Counts

3 → 60

Calls

3 calls:

132.0ms

(*.f64 (*.f64 (*.f64 -2 J) (log1p.f64 (expm1.f64 (cos.f64 (/.f64 K 2))))) (hypot.f64 1 (/.f64 U (*.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))

3.0ms

(expm1.f64 (cos.f64 (/.f64 K 2)))

2.0ms

(log1p.f64 (expm1.f64 (cos.f64 (/.f64 K 2))))

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 45

Calls

3 calls:

7.0ms

(*.f64 (*.f64 (*.f64 -2 J) (log1p.f64 (expm1.f64 (cos.f64 (/.f64 K 2))))) (hypot.f64 1 (/.f64 U (*.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))

0.0ms

(expm1.f64 (cos.f64 (/.f64 K 2)))

0.0ms

(log1p.f64 (expm1.f64 (cos.f64 (/.f64 K 2))))

simplify103.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

746×	`fma-def_binary64`
349×	`fma-neg_binary64`
346×	`cancel-sign-sub-inv_binary64`
285×	`associate-l_binary64`
227×	`associate-r_binary64`

Counts

105 → 116

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	265	3510
1	690	3142
2	2650	3036
3	4645	3024
4	4960	3024

prune212.0ms (1.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	153	9	162

Error

0.0b

Counts

162 → 9

Alt Table

Status	Error	Program
	21.5b	(.f64 (.f64 (.f64 -2 J) (.f64 (sqrt.f64 (cos.f64 (/.f64 K 2))) (sqrt.f64 (cos.f64 (/.f64 K 2))))) (hypot.f64 1 (/.f64 (.f64 (cbrt.f64 U) (cbrt.f64 U)) (/.f64 (cos.f64 (/.f64 K 2)) (/.f64 (cbrt.f64 U) (.f64 2 J))))))
	47.5b	(.f64 (cbrt.f64 (.f64 (.f64 (.f64 (.f64 (.f64 -2 J) (sqrt.f64 (cos.f64 (/.f64 K 2)))) (.f64 (.f64 -2 J) (sqrt.f64 (cos.f64 (/.f64 K 2))))) (.f64 (.f64 -2 J) (sqrt.f64 (cos.f64 (/.f64 K 2))))) (.f64 (.f64 (sqrt.f64 (cos.f64 (/.f64 K 2))) (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)))))
	7.5b	(.f64 (.f64 (.f64 -2 J) (.f64 (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2)))) (cbrt.f64 (cos.f64 (/.f64 K 2))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
	47.8b	U
	21.2b	(.f64 (.f64 (.f64 (.f64 (.f64 -2 J) (sqrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (sqrt.f64 (cos.f64 (/.f64 K 2))))) (sqrt.f64 (sqrt.f64 (cos.f64 (/.f64 K 2))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
✓	7.1b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
	43.4b	(neg.f64 U)
✓	7.2b	(.f64 (.f64 (.f64 -2 J) (log1p.f64 (expm1.f64 (cos.f64 (/.f64 K 2))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
	21.3b	(.f64 (.f64 (.f64 -2 J) (.f64 (.f64 (sqrt.f64 (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))) (sqrt.f64 (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2)))))) (.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))))

Compiler

Compiled 5597 to 4308 computations (23% saved)

regimes1.8s (13.9%)

Accuracy

Total 8.0b remaining (99.5%)

Threshold costs 0b (0%)

Counts

177 → 2

Compiler

Compiled 37154 to 29904 computations (19.5% saved)

bsearch65.0ms (0.5%)

Steps

Iters	Range		Point
6	2.8055865311440386e+262	2.2648485396189466e+263	2.235168568849271e+263

Compiler

Compiled 4 to 3 computations (25% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	39
1	27	39
2	26	39

end202.0ms (1.6%)

Compiler: Compiled 354 to 282 computations (20.3% saved)

Details

analyze3.7s (29.5%)

sample4.4s (35.1%)

simplify83.0ms (0.7%)

prune4.0ms (0%)

localize11.0ms (0.1%)

series195.0ms (1.5%)

rewrite22.0ms (0.2%)

simplify174.0ms (1.4%)

prune185.0ms (1.5%)

localize16.0ms (0.1%)

series200.0ms (1.6%)

rewrite24.0ms (0.2%)

simplify165.0ms (1.3%)

prune268.0ms (2.1%)

localize15.0ms (0.1%)

series128.0ms (1%)

rewrite24.0ms (0.2%)

simplify120.0ms (1%)

prune325.0ms (2.6%)

localize15.0ms (0.1%)

series137.0ms (1.1%)

rewrite11.0ms (0.1%)

simplify103.0ms (0.8%)

prune212.0ms (1.7%)

regimes1.8s (13.9%)

bsearch65.0ms (0.5%)

simplify2.0ms (0%)

end202.0ms (1.6%)

Profiling