Details

analyze2.6s (18.8%)

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)

sample105.0ms (0.7%)

Algorithm

1×

intervals

Results

44.0ms	46×	body	1024	valid
25.0ms	156×	body	128	valid
18.0ms	36×	body	512	valid
6.0ms	18×	body	256	valid

Compiler

Compiled 58 to 48 computations (17.2% saved)

simplify93.0ms (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

6.7b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	6.7b	(.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)))
✓	6.2b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))

rewrite20.0ms (0.1%)

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))

series429.0ms (3%)

Counts

4 → 120

Calls

4 calls:

219.0ms	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
120.0ms	(/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2)))
50.0ms	(.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2)))
40.0ms	(.f64 (cos.f64 (/.f64 K 2)) (.f64 J 2))

simplify190.0ms (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 → 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

prune207.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	343	6	349
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	343	7	350

Error

0.0b

Counts

350 → 7

Alt Table

Status	Error	Program
	45.1b	(neg.f64 U)
	19.3b	(.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 (.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)))))
	7.7b	(.f64 (.f64 (cbrt.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)))))) (cbrt.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))))))) (cbrt.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)))))))
	41.0b	(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)))))))
✓	6.7b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
	48.6b	U

Compiler

Compiled 6714 to 5034 computations (25% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(cbrt.f64 (cos.f64 (/.f64 K 2)))
	0.3b	(cbrt.f64 (cos.f64 (/.f64 K 2)))
✓	0.3b	(cbrt.f64 (cos.f64 (/.f64 K 2)))
✓	6.2b	(.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)))))

rewrite15.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-exp-log_binary64`
27×	`pow1_binary64`
19×	`cbrt-unprod_binary64`
19×	`prod-exp_binary64`
19×	`pow-prod-down_binary64`

Counts

2 → 45

Calls

2 calls:

12.0ms

(*.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)))))

1.0ms

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

series424.0ms (3%)

Counts

2 → 48

Calls

2 calls:

225.0ms

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

199.0ms

(*.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)))))

simplify128.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

686×	`fma-def_binary64`
389×	`associate-l_binary64`
316×	`fma-neg_binary64`
295×	`associate-r_binary64`
253×	`cancel-sign-sub-inv_binary64`

Counts

93 → 168

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	277	3808
1	698	3273
2	2808	3177
3	4604	3167
4	4957	3167

prune203.0ms (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	279	3	282
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	282	7	289

Error

0.0b

Counts

289 → 7

Alt Table

Status	Error	Program
▶	7.1b	(.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)))))
	7.1b	(.f64 (.f64 (.f64 (.f64 -2 J) (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))) (log.f64 (exp.f64 (cbrt.f64 (cos.f64 (/.f64 K 2)))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
	45.1b	(neg.f64 U)
	7.1b	(.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 (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)))))
	7.7b	(.f64 (.f64 (cbrt.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)))))) (cbrt.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))))))) (cbrt.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)))))))
✓	6.7b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
	48.6b	U

Compiler

Compiled 6647 to 5192 computations (21.9% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(cbrt.f64 (cos.f64 (/.f64 K 2)))
	0.3b	(cbrt.f64 (cos.f64 (/.f64 K 2)))
✓	0.7b	(expm1.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))))
✓	6.2b	(.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)))))

rewrite15.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-exp-log_binary64`
27×	`pow1_binary64`
23×	`add-cbrt-cube_binary64`
19×	`cbrt-unprod_binary64`
19×	`prod-exp_binary64`

Counts

2 → 43

Calls

2 calls:

11.0ms

(*.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)))))

0.0ms

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

series1.3s (9.5%)

Counts

2 → 48

Calls

2 calls:

1.1s

(*.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)))))

284.0ms

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

simplify169.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

847×	`times-frac_binary64`
498×	`associate-l_binary64`
380×	`fma-neg_binary64`
360×	`associate-r_binary64`
229×	`*-commutative_binary64`

Counts

91 → 170

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	305	5906
1	852	4378
2	3220	4366
3	4928	4366
4	5027	4366

prune240.0ms (1.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	623	3	626
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	624	9	633

Error

0.0b

Counts

633 → 9

Alt Table

Status	Error	Program
	38.7b	(.f64 -2 (.f64 (.f64 (log.f64 (exp.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 1/3))) J) (pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)))
✓	6.7b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
✓	7.1b	(.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)))))
	45.1b	(neg.f64 U)
▶	7.1b	(.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 (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)))))
	7.7b	(.f64 (.f64 (cbrt.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)))))) (cbrt.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))))))) (cbrt.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)))))))
	8.2b	(.f64 (.f64 (.f64 (.f64 -2 J) (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))) (log1p.f64 (.f64 (.f64 (cbrt.f64 (expm1.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))))) (cbrt.f64 (expm1.f64 (cbrt.f64 (cos.f64 (/.f64 K 2)))))) (cbrt.f64 (expm1.f64 (cbrt.f64 (cos.f64 (/.f64 K 2)))))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
	30.9b	(.f64 -2 (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 1/2 K))) J) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))))
	48.6b	U

Compiler

Compiled 7575 to 6021 computations (20.5% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(cbrt.f64 (cos.f64 (/.f64 K 2)))
	0.3b	(cbrt.f64 (cos.f64 (/.f64 K 2)))
✓	0.3b	(cbrt.f64 (*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2)))))
✓	6.2b	(.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 (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)))))

rewrite23.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`add-exp-log_binary64`
40×	`pow1_binary64`
30×	`cbrt-unprod_binary64`
30×	`prod-exp_binary64`
30×	`pow-prod-down_binary64`

Counts

2 → 49

Calls

2 calls:

15.0ms

(*.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 (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)))))

3.0ms

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

series448.0ms (3.2%)

Counts

2 → 48

Calls

2 calls:

244.0ms

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

203.0ms

(*.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 (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)))))

simplify259.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

706×	`fma-def_binary64`
574×	`associate-l_binary64`
447×	`associate-r_binary64`
234×	`*-commutative_binary64`
206×	`fma-neg_binary64`

Counts

97 → 175

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	299	6756
1	786	5290
2	3478	5232
3	4658	4881
4	4969	4419
5	4997	4419
6	4955	4419

prune265.0ms (1.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	1999	0	1999
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	1999	9	2008

Error

0.0b

Counts

2008 → 9

Alt Table

Status	Error	Program
	38.7b	(.f64 -2 (.f64 (.f64 (log.f64 (exp.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 1/3))) J) (pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2) 1/3)))
✓	6.7b	(.f64 (.f64 (.f64 -2 J) (cos.f64 (/.f64 K 2))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
✓	7.1b	(.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)))))
	45.1b	(neg.f64 U)
✓	7.1b	(.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 (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)))))
	7.7b	(.f64 (.f64 (cbrt.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)))))) (cbrt.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))))))) (cbrt.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)))))))
	8.2b	(.f64 (.f64 (.f64 (.f64 -2 J) (.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))) (log1p.f64 (.f64 (.f64 (cbrt.f64 (expm1.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))))) (cbrt.f64 (expm1.f64 (cbrt.f64 (cos.f64 (/.f64 K 2)))))) (cbrt.f64 (expm1.f64 (cbrt.f64 (cos.f64 (/.f64 K 2)))))))) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (/.f64 K 2)) (*.f64 J 2)))))
	30.9b	(.f64 -2 (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 1/2 K))) J) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 K)) 2))))
	48.6b	U

Compiler

Compiled 8812 to 7022 computations (20.3% saved)

regimes759.0ms (5.4%)

Accuracy

Total 8.1b remaining (99.6%)

Threshold costs 0b (0%)

Compiler

Compiled 17168 to 13884 computations (19.1% saved)

bsearch5.0ms (0%)

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

simplify5.0ms (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

end1.0ms (0%)

Compiler: Compiled 53 to 42 computations (20.8% saved)

sample6.0s (42.7%)

Algorithm

1×

intervals

Results

2.9s	2039×	body	1024	valid
1.0s	4455×	body	128	valid
851.0ms	998×	body	512	valid
254.0ms	505×	body	256	valid
6.0ms	3×	body	2048	valid
1.0ms	1×	body	1024	invalid
0.0ms	2×	body	128	invalid

Compiler

Compiled 378 to 309 computations (18.3% saved)

Details

analyze2.6s (18.8%)

sample105.0ms (0.7%)

simplify93.0ms (0.7%)

prune4.0ms (0%)

localize12.0ms (0.1%)

rewrite20.0ms (0.1%)

series429.0ms (3%)

simplify190.0ms (1.4%)

prune207.0ms (1.5%)

localize16.0ms (0.1%)

rewrite15.0ms (0.1%)

series424.0ms (3%)

simplify128.0ms (0.9%)

prune203.0ms (1.4%)

localize24.0ms (0.2%)

rewrite15.0ms (0.1%)

series1.3s (9.5%)

simplify169.0ms (1.2%)

prune240.0ms (1.7%)

localize21.0ms (0.2%)

rewrite23.0ms (0.2%)

series448.0ms (3.2%)

simplify259.0ms (1.8%)

prune265.0ms (1.9%)

regimes759.0ms (5.4%)

bsearch5.0ms (0%)

simplify5.0ms (0%)

end1.0ms (0%)

sample6.0s (42.7%)

Profiling