Details

analyze2.6s (21.9%)

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)

sample112.0ms (0.9%)

Algorithm

1×

intervals

Results

53.0ms	60×	body	1024	valid
21.0ms	143×	body	128	valid
17.0ms	30×	body	512	valid
10.0ms	23×	body	256	valid

Compiler

Compiled 58 to 48 computations (17.2% saved)

simplify88.0ms (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

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)

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)))
✓	0.2b	(.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)))))

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:

6.0ms	(.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))

series437.0ms (3.7%)

Counts

4 → 120

Calls

4 calls:

238.0ms	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
119.0ms	(/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))
40.0ms	(.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2))
40.0ms	(.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2)))

simplify234.0ms (2%)

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

prune200.0ms (1.7%)

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
▶	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))))
	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)))))
	47.4b	(neg.f64 U)
	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)))))
	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)))))
	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)))))))

Compiler

Compiled 6682 to 5009 computations (25% saved)

localize12.0ms (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))))

rewrite20.0ms (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:

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))))
5.0ms	(/.f64 (/.f64 U (cos.f64 (/.f64 K 2))) (*.f64 J 2))
2.0ms	(/.f64 U (cos.f64 (/.f64 K 2)))

series396.0ms (3.3%)

Counts

3 → 96

Calls

3 calls:

210.0ms	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 (/.f64 U (cos.f64 (/.f64 K 2))) (.f64 J 2))))
139.0ms	(/.f64 (/.f64 U (cos.f64 (/.f64 K 2))) (*.f64 J 2))
47.0ms	(/.f64 U (cos.f64 (/.f64 K 2)))

simplify169.0ms (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 → 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

prune228.0ms (1.9%)

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
✓	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))))
	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)))))
	47.4b	(neg.f64 U)
	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)))))
▶	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)))))
	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))
	45.3b	U

Compiler

Compiled 7812 to 5818 computations (25.5% saved)

localize17.0ms (0.1%)

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)))))

rewrite17.0ms (0.1%)

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:

10.0ms

(*.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)))))

2.0ms

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

series1.1s (9.3%)

Counts

2 → 60

Calls

2 calls:

715.0ms

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

400.0ms

(*.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)))))

simplify107.0ms (0.9%)

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

prune185.0ms (1.5%)

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
✓	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)))))
▶	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)))))
✓	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))))
	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)))))
	47.4b	(neg.f64 U)
	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)))))
	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))
	45.3b	U

Compiler

Compiled 8313 to 6532 computations (21.4% saved)

localize24.0ms (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)))))

rewrite18.0ms (0.1%)

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:

10.0ms

(*.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)))))

2.0ms

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

2.0ms

(cbrt.f64 -2)

series1.1s (9.1%)

Counts

3 → 60

Calls

3 calls:

681.0ms

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

405.0ms

(*.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)

simplify132.0ms (1.1%)

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

prune194.0ms (1.6%)

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
✓	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)))))
✓	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)))))
	10.3b	(.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)))))
	45.3b	U
✓	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))))
	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)))))
	47.4b	(neg.f64 U)
	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)))))
	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))
	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)))))

Compiler

Compiled 8179 to 6491 computations (20.6% saved)

regimes567.0ms (4.7%)

Accuracy

Total 8.2b remaining (99.4%)

Threshold costs 0b (0%)

Compiler

Compiled 12320 to 9642 computations (21.7% saved)

bsearch141.0ms (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)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	77
1	35	77
2	34	77

end1.0ms (0%)

Compiler: Compiled 54 to 41 computations (24.1% saved)

sample3.8s (31.7%)

Algorithm

1×

intervals

Results

1.8s	2001×	body	1024	valid
680.0ms	4485×	body	128	valid
536.0ms	983×	body	512	valid
180.0ms	529×	body	256	valid
3.0ms	2×	body	2048	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 425 to 342 computations (19.5% saved)

Details

analyze2.6s (21.9%)

sample112.0ms (0.9%)

simplify88.0ms (0.7%)

prune4.0ms (0%)

localize12.0ms (0.1%)

rewrite23.0ms (0.2%)

series437.0ms (3.7%)

simplify234.0ms (2%)

prune200.0ms (1.7%)

localize12.0ms (0.1%)

rewrite20.0ms (0.2%)

series396.0ms (3.3%)

simplify169.0ms (1.4%)

prune228.0ms (1.9%)

localize17.0ms (0.1%)

rewrite17.0ms (0.1%)

series1.1s (9.3%)

simplify107.0ms (0.9%)

prune185.0ms (1.5%)

localize24.0ms (0.2%)

rewrite18.0ms (0.1%)

series1.1s (9.1%)

simplify132.0ms (1.1%)

prune194.0ms (1.6%)

regimes567.0ms (4.7%)

bsearch141.0ms (1.2%)

simplify6.0ms (0%)

end1.0ms (0%)

sample3.8s (31.7%)

Profiling