Details

analyze2.7s (22.8%)

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)

sample109.0ms (0.9%)

Algorithm

1×

intervals

Results

43.0ms	49×	body	1024	valid
24.0ms	146×	body	128	valid
21.0ms	40×	body	512	valid
9.0ms	21×	body	256	valid

Compiler

Compiled 58 to 48 computations (17.2% saved)

simplify97.0ms (0.8%)

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

prune5.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

7.4b

Counts

3 → 2

Alt Table

Status	Error	Program
	16.9b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))))
▶	7.4b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))

Status

Error

Program

16.9b

(*.f64 (*.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))))

▶

7.4b

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

Compiler

Compiled 150 to 120 computations (20% 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)))
✓	6.8b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))

series252.0ms (2.1%)

Counts

4 → 120

Calls

4 calls:

182.0ms	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
47.0ms	(/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))
12.0ms	(.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2))
11.0ms	(.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2)))

rewrite23.0ms (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)))))
5.0ms	(/.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))

simplify176.0ms (1.5%)

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

prune219.0ms (1.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	183	7	190
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	185	7	192

Error

0.0b

Counts

192 → 7

Alt Table

Status	Error	Program
	7.9b	(.f64 (.f64 (.f64 (.f64 -2 J) (.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)))))
	45.6b	(neg.f64 U)
	46.9b	U
	8.5b	(.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)))))
▶	7.5b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 (/.f64 U (cos.f64 (/.f64 K 2))) (.f64 J 2))))
	41.8b	(.f64 (cbrt.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))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
	23.7b	(.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)))))

Compiler

Compiled 6634 to 4973 computations (25% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series210.0ms (1.8%)

Counts

3 → 96

Calls

3 calls:

142.0ms	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 (/.f64 U (cos.f64 (/.f64 K 2))) (.f64 J 2))))
48.0ms	(/.f64 (/.f64 U (cos.f64 (/.f64 K 2))) (*.f64 J 2))
20.0ms	(/.f64 U (cos.f64 (/.f64 K 2)))

rewrite22.0ms (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:

7.0ms	(/.f64 (/.f64 U (cos.f64 (/.f64 K 2))) (*.f64 J 2))
6.0ms	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 (/.f64 U (cos.f64 (/.f64 K 2))) (.f64 J 2))))
2.0ms	(/.f64 U (cos.f64 (/.f64 K 2)))

simplify164.0ms (1.4%)

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 → 191

Iterations

Useful iterations: 2 (0.0ms)

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

prune243.0ms (2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	228	0	228
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	228	7	235

Error

0.0b

Counts

235 → 7

Alt Table

Status	Error	Program
▶	7.9b	(.f64 (.f64 (.f64 (.f64 -2 J) (.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)))))
	45.6b	(neg.f64 U)
	46.9b	U
	8.5b	(.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)))))
✓	7.5b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 (/.f64 U (cos.f64 (/.f64 K 2))) (.f64 J 2))))
	41.8b	(.f64 (cbrt.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))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
	23.7b	(.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)))))

Compiler

Compiled 7832 to 5834 computations (25.5% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (.f64 -2 J) (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))) (cbrt.f64 (cos.f64 (/.f64 K 2))))
✓	0.3b	(*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))
✓	0.3b	(cbrt.f64 (cos.f64 (/.f64 K 2)))
✓	6.8b	(.f64 (.f64 (.f64 (.f64 -2 J) (.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)))))

series670.0ms (5.6%)

Counts

4 → 84

Calls

4 calls:

324.0ms	(*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))
190.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
143.0ms	(.f64 (.f64 (.f64 (.f64 -2 J) (.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)))))
12.0ms	(.f64 (.f64 (.f64 -2 J) (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))) (cbrt.f64 (cos.f64 (/.f64 K 2))))

rewrite42.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`pow1_binary64`
49×	`add-exp-log_binary64`
34×	`pow-prod-down_binary64`
33×	`cbrt-unprod_binary64`
33×	`prod-exp_binary64`

Counts

4 → 119

Calls

4 calls:

13.0ms	(.f64 (.f64 (.f64 (.f64 -2 J) (.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)))))
11.0ms	(.f64 (.f64 (.f64 -2 J) (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))) (cbrt.f64 (cos.f64 (/.f64 K 2))))
5.0ms	(*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))
1.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))

simplify161.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

852×	`fma-def_binary64`
491×	`associate-l_binary64`
370×	`associate-r_binary64`
270×	`fma-neg_binary64`
205×	`*-commutative_binary64`

Counts

203 → 214

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	336	5881
1	836	5091
2	3332	4908
3	4961	4908
4	4995	4908

prune409.0ms (3.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	257	5	262
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	260	9	269

Error

0.0b

Counts

269 → 9

Alt Table

Status	Error	Program
	8.0b	(.f64 (.f64 (.f64 (.f64 -2 J) (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))) (log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 (/.f64 K 2)))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
	45.6b	(neg.f64 U)
	7.7b	(.f64 (.f64 (.f64 (.f64 -2 J) (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2))) (cbrt.f64 (cos.f64 (/.f64 K 2)))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
▶	7.6b	(.f64 (.f64 (.f64 (.f64 -2 J) (pow.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) 1/3)) (cbrt.f64 (cos.f64 (/.f64 K 2)))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
	46.9b	U
	8.1b	(.f64 (.f64 (.f64 (.f64 -2 J) (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))) (cbrt.f64 (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2)))))) (cbrt.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)))))
✓	7.5b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 (/.f64 U (cos.f64 (/.f64 K 2))) (.f64 J 2))))
	41.8b	(.f64 (cbrt.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))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
	8.0b	(.f64 (.f64 (.f64 (.f64 -2 J) (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))) (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 K 2)))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))

Compiler

Compiled 11496 to 9071 computations (21.1% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (.f64 -2 J) (pow.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) 1/3)) (cbrt.f64 (cos.f64 (/.f64 K 2))))
✓	0.2b	(pow.f64 (cos.f64 (*.f64 1/2 K)) 2)
	0.3b	(cbrt.f64 (cos.f64 (/.f64 K 2)))
✓	6.8b	(.f64 (.f64 (.f64 (.f64 -2 J) (pow.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) 1/3)) (cbrt.f64 (cos.f64 (/.f64 K 2)))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))

series158.0ms (1.3%)

Counts

3 → 64

Calls

3 calls:

142.0ms

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

11.0ms

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

4.0ms

(pow.f64 (cos.f64 (*.f64 1/2 K)) 2)

rewrite33.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

83×	`add-exp-log_binary64`
64×	`prod-exp_binary64`
28×	`cbrt-unprod_binary64`
28×	`add-cbrt-cube_binary64`
17×	`pow-exp_binary64`

Counts

3 → 88

Calls

3 calls:

10.0ms

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

2.0ms

(pow.f64 (cos.f64 (*.f64 1/2 K)) 2)

simplify245.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

834×	`fma-def_binary64`
452×	`associate-l_binary64`
308×	`associate-r_binary64`
281×	`fma-neg_binary64`
236×	`unswap-sqr_binary64`

Counts

152 → 161

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	324	5836
1	807	5096
2	3124	5058
3	4880	5008
4	4955	5008
5	4990	5008
6	4943	5008

prune306.0ms (2.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	181	4	185
Fresh	4	3	7
Picked	1	0	1
Done	0	1	1
Total	186	8	194

Error

0.0b

Counts

194 → 8

Alt Table

Status	Error	Program
	45.6b	(neg.f64 U)
	7.7b	(.f64 (.f64 (.f64 (.f64 -2 J) (pow.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) 1/3)) (log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 (/.f64 K 2)))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
	7.9b	(.f64 (.f64 (.f64 (.f64 (.f64 J -2) (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2))) (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 K 2)))) (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 K 2)))))) (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
	41.8b	(.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) (.f64 (pow.f64 (.f64 J -2) 3) (cos.f64 (/.f64 K 2))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
	46.9b	U
	7.6b	(.f64 (.f64 (.f64 (.f64 -2 J) (pow.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) 2/3) (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2))) 1/3)) (cbrt.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) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 (/.f64 U (cos.f64 (/.f64 K 2))) (.f64 J 2))))
	8.0b	(.f64 (.f64 (.f64 (.f64 -2 J) (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))) (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 K 2)))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))

Compiler

Compiled 7914 to 6252 computations (21% saved)

regimes1.5s (12.3%)

Accuracy

Total 8.6b remaining (99.5%)

Threshold costs 0b (0%)

Counts

165 → 3

Compiler

Compiled 31760 to 25830 computations (18.7% saved)

bsearch103.0ms (0.9%)

Steps

Iters	Range		Point
5	4.3909447582370347e-278	1.2870112304780583e-277	5.019231347031117e-278
7	-9.689145584763375e-208	-1.5676448431954082e-209	-1.6525644811133454e-209

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-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	25	49
1	38	49
2	40	49
3	41	49
4	40	49

end1.0ms (0%)

Compiler: Compiled 35 to 27 computations (22.9% saved)

sample4.0s (33.7%)

Algorithm

1×

intervals

Results

1.9s	2013×	body	1024	valid
749.0ms	4512×	body	128	valid
594.0ms	972×	body	512	valid
185.0ms	502×	body	256	valid
2.0ms	1×	body	2048	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 312 to 256 computations (17.9% saved)

Details

analyze2.7s (22.8%)

sample109.0ms (0.9%)

simplify97.0ms (0.8%)

prune5.0ms (0%)

localize11.0ms (0.1%)

series252.0ms (2.1%)

rewrite23.0ms (0.2%)

simplify176.0ms (1.5%)

prune219.0ms (1.8%)

localize13.0ms (0.1%)

series210.0ms (1.8%)

rewrite22.0ms (0.2%)

simplify164.0ms (1.4%)

prune243.0ms (2%)

localize16.0ms (0.1%)

series670.0ms (5.6%)

rewrite42.0ms (0.4%)

simplify161.0ms (1.4%)

prune409.0ms (3.4%)

localize19.0ms (0.2%)

series158.0ms (1.3%)

rewrite33.0ms (0.3%)

simplify245.0ms (2.1%)

prune306.0ms (2.6%)

regimes1.5s (12.3%)

bsearch103.0ms (0.9%)

simplify4.0ms (0%)

end1.0ms (0%)

sample4.0s (33.7%)

Profiling