Details

analyze2.6s (21%)

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)

sample4.2s (34.3%)

Results

2.3s	2119×	body	1024	valid
968.0ms	4560×	body	128	valid
691.0ms	1029×	body	512	valid
250.0ms	545×	body	256	valid
5.0ms	3×	body	2048	valid
1.0ms	4×	body	128	invalid

Compiler

Compiled 56 to 46 computations (17.9% saved)

preprocess42.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

697×	`associate-/r/_binary64`
522×	`associate-/l/_binary64`
376×	`times-frac_binary64`
307×	`associate-*l/_binary64`
291×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	148
1	112	128
2	303	128
3	946	128
4	3793	128
5	4745	128
0	3	3

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify40.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

667×	`associate-/l/_binary64`
443×	`associate-/l*_binary64`
398×	`times-frac_binary64`
330×	`unswap-sqr_binary64`
265×	`associate-*l/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	37
1	37	32
2	89	32
3	253	32
4	968	32
5	3686	32
6	3897	32
7	4521	32
8	4720	32
9	4865	32

Stop Event

1×	node limit

Counts

1 → 2

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

Compiler

Compiled 96 to 76 computations (20.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2))))))
✓	0.1b	(/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))
✓	0.1b	(*.f64 J (cos.f64 (/.f64 K 2)))
✓	6.6b	(.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (.f64 J (cos.f64 (/.f64 K 2))))

series175.0ms (1.4%)

Counts

4 → 132

Calls

33 calls:

16.0ms	(.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (.f64 J (cos.f64 (/.f64 K 2))))	K	0
13.0ms	(.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (.f64 J (cos.f64 (/.f64 K 2))))	K	inf
12.0ms	(.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (.f64 J (cos.f64 (/.f64 K 2))))	K	-inf
10.0ms	(hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2))))))	K	-inf
10.0ms	(hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2))))))	K	0

rewrite63.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

237×	`expm1-udef_binary64`
237×	`log1p-udef_binary64`
199×	`log-pow_binary64`
137×	`prod-diff_binary64`
135×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	71
1	271	71
2	3443	71

Stop Event

1×	node limit

Counts

4 → 92

simplify83.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

494×	`cancel-sign-sub-inv_binary64`
288×	`associate-/r/_binary64`
230×	`fma-neg_binary64`
185×	`fma-def_binary64`
164×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	246	4466
1	764	4225
2	2824	4149

Stop Event

1×	node limit

Counts

224 → 179

prune231.0ms (1.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	195	7	202
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	196	7	203

Error

0.1b

Counts

203 → 7

Alt Table

Status	Error	Program
	31.5b	(.f64 -2 (fma.f64 (cos.f64 (.f64 1/2 K)) J (.f64 1/8 (.f64 (/.f64 (/.f64 U J) (cos.f64 (*.f64 1/2 K))) U))))
	41.8b	(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (cbrt.f64 (.f64 (pow.f64 J 3) (pow.f64 (cos.f64 (.f64 K 1/2)) 3)))))
	8.2b	(.f64 -2 (pow.f64 (cbrt.f64 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 2 J))))))) 3))
	51.2b	(.f64 -2 (.f64 -1/2 U))
▶	7.2b	(.f64 -2 (.f64 (hypot.f64 1 (.f64 U (/.f64 1/2 (.f64 J (cos.f64 (.f64 K 1/2)))))) (.f64 J (cos.f64 (/.f64 K 2)))))
	42.0b	(.f64 -2 (.f64 1/2 U))
	37.9b	(.f64 -2 (pow.f64 (sqrt.f64 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 2 J))))))) 2))

Compiler

Compiled 7094 to 5315 computations (25.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 J (cos.f64 (/.f64 K 2)))
✓	0.1b	(.f64 J (cos.f64 (.f64 K 1/2)))
✓	0.3b	(.f64 U (/.f64 1/2 (.f64 J (cos.f64 (*.f64 K 1/2)))))
✓	6.6b	(.f64 (hypot.f64 1 (.f64 U (/.f64 1/2 (.f64 J (cos.f64 (.f64 K 1/2)))))) (*.f64 J (cos.f64 (/.f64 K 2))))

series130.0ms (1.1%)

Counts

3 → 96

Calls

24 calls:

16.0ms	(.f64 (hypot.f64 1 (.f64 U (/.f64 1/2 (.f64 J (cos.f64 (.f64 K 1/2)))))) (*.f64 J (cos.f64 (/.f64 K 2))))	K	0
14.0ms	(.f64 (hypot.f64 1 (.f64 U (/.f64 1/2 (.f64 J (cos.f64 (.f64 K 1/2)))))) (*.f64 J (cos.f64 (/.f64 K 2))))	K	inf
12.0ms	(.f64 (hypot.f64 1 (.f64 U (/.f64 1/2 (.f64 J (cos.f64 (.f64 K 1/2)))))) (*.f64 J (cos.f64 (/.f64 K 2))))	K	-inf
8.0ms	(.f64 U (/.f64 1/2 (.f64 J (cos.f64 (*.f64 K 1/2)))))	J	-inf
7.0ms	(.f64 U (/.f64 1/2 (.f64 J (cos.f64 (*.f64 K 1/2)))))	U	0

rewrite55.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

250×	`expm1-udef_binary64`
250×	`log1p-udef_binary64`
207×	`log-pow_binary64`
175×	`prod-diff_binary64`
146×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	53
1	359	53
2	3598	53

Stop Event

1×	node limit

Counts

3 → 58

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

767×	`associate-/l*_binary64`
677×	`fma-def_binary64`
293×	`cancel-sign-sub-inv_binary64`
164×	`associate-/r/_binary64`
140×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	181	2762
1	542	2621
2	1956	2561

Stop Event

1×	node limit

Counts

154 → 112

prune128.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	135	7	142

Error

0.1b

Counts

142 → 7

Alt Table

Status	Error	Program
	31.5b	(.f64 -2 (fma.f64 (cos.f64 (.f64 1/2 K)) J (.f64 1/8 (.f64 (/.f64 (/.f64 U J) (cos.f64 (*.f64 1/2 K))) U))))
	41.8b	(.f64 -2 (.f64 (hypot.f64 1 (/.f64 U (.f64 2 (.f64 J (cos.f64 (/.f64 K 2)))))) (cbrt.f64 (.f64 (pow.f64 J 3) (pow.f64 (cos.f64 (.f64 K 1/2)) 3)))))
▶	8.2b	(.f64 -2 (pow.f64 (cbrt.f64 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 2 J))))))) 3))
	51.2b	(.f64 -2 (.f64 -1/2 U))
✓	7.2b	(.f64 -2 (.f64 (hypot.f64 1 (.f64 U (/.f64 1/2 (.f64 J (cos.f64 (.f64 K 1/2)))))) (.f64 J (cos.f64 (/.f64 K 2)))))
	42.0b	(.f64 -2 (.f64 1/2 U))
	37.9b	(.f64 -2 (pow.f64 (sqrt.f64 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 2 J))))))) 2))

Compiler

Compiled 4409 to 3323 computations (24.6% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (cos.f64 (.f64 K 1/2)) (*.f64 2 J))
✓	0.6b	(cbrt.f64 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 J)))))))
✓	0.7b	(pow.f64 (cbrt.f64 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 J))))))) 3)
✓	6.7b	(.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 J))))))

series946.0ms (7.7%)

Counts

4 → 100

Calls

33 calls:

124.0ms	(pow.f64 (cbrt.f64 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 J))))))) 3)	K	inf
116.0ms	(pow.f64 (cbrt.f64 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 J))))))) 3)	K	-inf
100.0ms	(cbrt.f64 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 J)))))))	K	inf
98.0ms	(cbrt.f64 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 J)))))))	K	-inf
88.0ms	(pow.f64 (cbrt.f64 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (.f64 2 J))))))) 3)	K	0

rewrite74.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

291×	`log1p-udef_binary64`
170×	`add-sqr-sqrt_binary64`
162×	`pow1_binary64`
160×	`*-un-lft-identity_binary64`
158×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	101
1	372	101
2	4263	101

Stop Event

1×	node limit

Counts

4 → 99

simplify105.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

432×	`unswap-sqr_binary64`
344×	`fma-neg_binary64`
292×	`associate-r_binary64`
269×	`fma-def_binary64`
232×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	331	5362
1	1057	4823
2	4116	4823

Stop Event

1×	node limit

Counts

199 → 166

prune233.0ms (1.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	161	5	166
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	163	10	173

Error

0.0b

Counts

173 → 10

Alt Table

Status	Error	Program
	51.2b	(.f64 -2 (.f64 -1/2 U))
	8.4b	(.f64 -2 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))) (.f64 J (cos.f64 (.f64 K 1/2))))) 2)) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))) (.f64 J (cos.f64 (.f64 K 1/2)))))) (pow.f64 (cbrt.f64 (.f64 (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))) (.f64 J (cos.f64 (*.f64 K 1/2))))) 2))))
	36.8b	(.f64 -2 (.f64 (sqrt.f64 J) (.f64 (sqrt.f64 J) (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2))))))))
	8.1b	(.f64 -2 (.f64 (cbrt.f64 J) (.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))))) (pow.f64 (cbrt.f64 (.f64 (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))) (.f64 J (cos.f64 (.f64 K 1/2))))) 2))))
	42.0b	(.f64 -2 (.f64 1/2 U))
▶	7.8b	(.f64 -2 (.f64 (.f64 J (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))))) 2)) (cbrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2))))))))
	21.5b	(.f64 -2 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))))) (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)))))) J)))
✓	7.2b	(.f64 -2 (.f64 (hypot.f64 1 (.f64 U (/.f64 1/2 (.f64 J (cos.f64 (.f64 K 1/2)))))) (.f64 J (cos.f64 (/.f64 K 2)))))
	31.5b	(.f64 -2 (fma.f64 (cos.f64 (.f64 1/2 K)) J (.f64 1/8 (.f64 (/.f64 (/.f64 U J) (cos.f64 (*.f64 1/2 K))) U))))
	37.9b	(.f64 -2 (pow.f64 (sqrt.f64 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 2 J))))))) 2))

Compiler

Compiled 7881 to 6138 computations (22.1% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 J (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))))) 2)) (cbrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))))))
✓	0.3b	(pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)))))) 2)
✓	2.1b	(.f64 J (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))))) 2))
✓	7.0b	(cbrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2))))))

series1.1s (9.3%)

Counts

4 → 108

Calls

36 calls:

110.0ms	(.f64 J (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))))) 2))	K	-inf
109.0ms	(pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)))))) 2)	K	inf
108.0ms	(pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)))))) 2)	K	-inf
106.0ms	(.f64 J (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))))) 2))	K	inf
105.0ms	(cbrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2))))))	K	inf

rewrite88.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

303×	`log1p-udef_binary64`
176×	`add-sqr-sqrt_binary64`
171×	`pow1_binary64`
169×	`*-un-lft-identity_binary64`
162×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	122
1	366	122
2	4418	122

Stop Event

1×	node limit

Counts

4 → 76

simplify127.0ms (1%)

Algorithm

1×	egg-herbie

Rules

350×	`fma-def_binary64`
326×	`fma-neg_binary64`
307×	`associate-r_binary64`
256×	`associate-l_binary64`
246×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	369	6684
1	1187	6280
2	4622	6280

Stop Event

1×	node limit

Counts

184 → 175

prune453.0ms (3.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	217	3	220
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	219	11	230

Error

0.0b

Counts

230 → 11

Alt Table

Status	Error	Program
	42.0b	(.f64 -2 (.f64 1/2 U))
	8.1b	(.f64 -2 (.f64 (cbrt.f64 J) (.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))))) (pow.f64 (cbrt.f64 (.f64 (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))) (.f64 J (cos.f64 (.f64 K 1/2))))) 2))))
	8.3b	(.f64 -2 (.f64 (.f64 J (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 (/.f64 U (.f64 J 2)) (cos.f64 (.f64 K 1/2))))))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 (/.f64 U (.f64 J 2)) (cos.f64 (.f64 K 1/2))))))) 2)) 2)) (cbrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2))))))))
✓	7.8b	(.f64 -2 (.f64 (.f64 J (pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))))) 2)) (cbrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2))))))))
	23.1b	(.f64 -2 (.f64 (.f64 J (pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 (/.f64 U (.f64 J 2)) (cos.f64 (.f64 K 1/2))))) 1/3) 2)) (cbrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2))))))))
	51.2b	(.f64 -2 (.f64 -1/2 U))
	21.5b	(.f64 -2 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))))) (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)))))) J)))
✓	7.2b	(.f64 -2 (.f64 (hypot.f64 1 (.f64 U (/.f64 1/2 (.f64 J (cos.f64 (.f64 K 1/2)))))) (.f64 J (cos.f64 (/.f64 K 2)))))
	31.5b	(.f64 -2 (fma.f64 (cos.f64 (.f64 1/2 K)) J (.f64 1/8 (.f64 (/.f64 (/.f64 U J) (cos.f64 (*.f64 1/2 K))) U))))
	31.3b	(.f64 -2 (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 1/2 K)) 2) 1/3) J) (cbrt.f64 (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2))))))))
	37.9b	(.f64 -2 (pow.f64 (sqrt.f64 (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (hypot.f64 1 (/.f64 U (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 2 J))))))) 2))

Compiler

Compiled 13934 to 10712 computations (23.1% saved)

regimes926.0ms (7.5%)

Accuracy

Total 8.1b remaining (99.7%)

Threshold costs 0b (0%)

Counts

97 → 2

Compiler

Compiled 18296 to 14756 computations (19.3% saved)

bsearch73.0ms (0.6%)

Algorithm

1×	binary-search

Calls

1 calls:

69.0ms

Steps

Iters	Point		Range
-2.1573275483081895e+221	∈ [	-1.1875485388654285e+222	,	-1.7153682428746072e+219	]

Compiler

Compiled 4 to 3 computations (25% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
1×	`*-lft-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	45
1	38	45

Stop Event

1×

saturated

end253.0ms (2.1%)

Stop Event

1×

fuel

Compiler

Compiled 445 to 357 computations (19.8% saved)

Details

analyze2.6s (21%)

sample4.2s (34.3%)

preprocess42.0ms (0.3%)

simplify40.0ms (0.3%)

prune4.0ms (0%)

localize10.0ms (0.1%)

series175.0ms (1.4%)

rewrite63.0ms (0.5%)

simplify83.0ms (0.7%)

prune231.0ms (1.9%)

localize13.0ms (0.1%)

series130.0ms (1.1%)

rewrite55.0ms (0.4%)

simplify61.0ms (0.5%)

prune128.0ms (1%)

localize15.0ms (0.1%)

series946.0ms (7.7%)

rewrite74.0ms (0.6%)

simplify105.0ms (0.9%)

prune233.0ms (1.9%)

localize19.0ms (0.2%)

series1.1s (9.3%)

rewrite88.0ms (0.7%)

simplify127.0ms (1%)

prune453.0ms (3.7%)

regimes926.0ms (7.5%)

bsearch73.0ms (0.6%)

simplify2.0ms (0%)

end253.0ms (2.1%)

Profiling