Details

analyze1.1s (10.5%)

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
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
25%	74.9%	0.1%	8
25%	74.9%	0.1%	9
25%	64%	11.1%	10
31.2%	54.6%	14.2%	11
39%	44.1%	16.9%	12
39%	41.5%	19.5%	13
42.9%	37%	20.1%	14

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample4.1s (38%)

Results

1.1s	1823×	body	1024	valid
987.0ms	1668×	body	1024	invalid
882.0ms	5058×	body	128	valid
391.0ms	892×	body	512	valid
360.0ms	811×	body	512	invalid
144.0ms	474×	body	256	valid
125.0ms	411×	body	256	invalid
117.0ms	681×	body	128	invalid
9.0ms	9×	body	2048	valid

Compiler

Compiled 46 to 32 computations (30.4% saved)

preprocess52.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

698×	`rule-38_binary64`
698×	`rule-39_binary64`
695×	`rule-40_binary64`
228×	`fma-def_binary64`
174×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	112
1	162	80
2	630	72
3	3646	72
0	3	3
1	3	3

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
0
2

Call 2

Inputs
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)))
(+.f64 (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (.f64 th th)) (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (.f64 th th)))

Outputs
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (.f64 th th)) (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (.f64 a2 a2)))
(fma.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (.f64 th th) (.f64 a2 (*.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) a2)))
(.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (+.f64 (.f64 th th) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (fma.f64 th th (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (.f64 th th)))
(fma.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (.f64 a1 a1) (.f64 th (*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) th)))
(.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 th th)))
(.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (fma.f64 th th (.f64 a1 a1)))

Symmetry

(sort a1 a2)

Compiler

Compiled 22 to 15 computations (31.8% saved)

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

307×	`rule-37_binary64`
307×	`rule-38_binary64`
307×	`rule-39_binary64`
306×	`rule-40_binary64`
298×	`rule-29_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	28
1	81	20
2	301	18
3	1616	18

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))

Outputs
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (.f64 a2 a2)))

prune3.0ms (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

0.5b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.5b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (.f64 a2 a2)))
▶	0.5b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))

Compiler

Compiled 108 to 70 computations (35.2% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
✓	0.2b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
✓	0.3b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
✓	0.7b	(/.f64 (cos.f64 th) (sqrt.f64 2))

series119.0ms (1.1%)

Counts

4 → 88

Calls

24 calls:

Time	Variable		Point	Expression
21.0ms	th	@	-inf	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
8.0ms	th	@	inf	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
6.0ms	th	@	0	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
6.0ms	a2	@	0	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
5.0ms	a1	@	0	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))

rewrite71.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

254×	`rule-44_binary64`
254×	`rule-45_binary64`
151×	`add-sqr-sqrt_binary64`
145×	`pow1_binary64`
145×	`rules-30_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	64
1	339	56
2	4622	56

Stop Event

1×	node limit

Counts

4 → 149

Calls

Call 1

Inputs
(/.f64 (cos.f64 th) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 th) (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 th)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 th)) (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cos.f64 th) (cos.f64 th)) (/.f64 1/2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 (cos.f64 th) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (cos.f64 th) (cos.f64 th)) (/.f64 1/2 (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a2 a2) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) 3) (pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a2) a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))) 2) (cbrt.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))))))))
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(+.f64 (.f64 a1 a1) (.f64 a2 a2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)) 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) 1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))) 2) (cbrt.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))) 2) (cbrt.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) 2) (cbrt.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))))))

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

501×	`rule-37_binary64`
501×	`rule-38_binary64`
501×	`rule-39_binary64`
482×	`rule-40_binary64`
471×	`rule-29_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	90	1986
1	682	1726
2	2803	1726

Stop Event

1×	node limit

Counts

237 → 187

Calls

Call 1

Inputs
(/.f64 1 (sqrt.f64 2))
(-.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (.f64 1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (+.f64 (.f64 1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2))) (*.f64 1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2)))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2)))) (.f64 1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (pow.f64 a2 2)) (sqrt.f64 2)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/720 (/.f64 (.f64 (pow.f64 th 6) (pow.f64 a2 2)) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/720 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2)))))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (pow.f64 a2 2)) (sqrt.f64 2)))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))) (+.f64 (.f64 1/720 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2))) (.f64 1/720 (/.f64 (.f64 (pow.f64 th 6) (pow.f64 a2 2)) (sqrt.f64 2)))))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))

Outputs
(/.f64 1 (sqrt.f64 2))
(-.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))))
(-.f64 (/.f64 1 (sqrt.f64 2)) (.f64 1/2 (/.f64 (.f64 th th) (sqrt.f64 2))))
(/.f64 (-.f64 1 (.f64 1/2 (.f64 th th))) (sqrt.f64 2))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (.f64 1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))))
(-.f64 (fma.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 th th) (sqrt.f64 2))))
(fma.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (/.f64 (-.f64 1 (.f64 1/2 (.f64 th th))) (sqrt.f64 2)))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (+.f64 (.f64 1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2))) (*.f64 1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2)))))
(-.f64 (fma.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (fma.f64 1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2)) (.f64 1/2 (/.f64 (.f64 th th) (sqrt.f64 2)))))
(-.f64 (/.f64 (+.f64 1 (.f64 1/24 (pow.f64 th 4))) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 1/2 (.f64 th th)) (.f64 1/720 (pow.f64 th 6))) (sqrt.f64 2)))
(-.f64 (/.f64 (+.f64 1 (.f64 1/24 (pow.f64 th 4))) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 1/720 (pow.f64 th 6)) (.f64 1/2 (.f64 th th))) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(-.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))))
(-.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (/.f64 1/2 (/.f64 (sqrt.f64 2) (.f64 (.f64 th th) (.f64 a2 a2)))))
(/.f64 (-.f64 (.f64 a2 a2) (.f64 1/2 (.f64 th (.f64 (*.f64 a2 a2) th)))) (sqrt.f64 2))
(-.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2)))) (.f64 1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(-.f64 (+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (.f64 a2 a2) (sqrt.f64 2))))) (/.f64 1/2 (/.f64 (sqrt.f64 2) (.f64 (.f64 th th) (*.f64 a2 a2)))))
(-.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 1/24 (.f64 (pow.f64 th 4) (.f64 a2 a2)))) (sqrt.f64 2)) (.f64 1/2 (.f64 (.f64 th th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))))
(-.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 1/24 (.f64 (pow.f64 th 4) (.f64 a2 a2)))) (sqrt.f64 2)) (/.f64 (.f64 th (.f64 (*.f64 a2 a2) th)) (/.f64 (sqrt.f64 2) 1/2)))
(-.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (pow.f64 a2 2)) (sqrt.f64 2)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/720 (/.f64 (.f64 (pow.f64 th 6) (pow.f64 a2 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (-.f64 (.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))) (fma.f64 1/2 (.f64 (.f64 th th) (/.f64 (.f64 a2 a2) (sqrt.f64 2))) (.f64 1/720 (.f64 (.f64 a2 a2) (/.f64 (pow.f64 th 6) (sqrt.f64 2)))))))
(-.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 1/24 (.f64 (pow.f64 th 4) (.f64 a2 a2)))) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 1/720 (.f64 (pow.f64 th 6) (.f64 a2 a2))) (.f64 1/2 (.f64 th (.f64 (*.f64 a2 a2) th)))) (sqrt.f64 2)))
(-.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 1/24 (.f64 (pow.f64 th 4) (.f64 a2 a2)))) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 1/2 (.f64 th (.f64 (.f64 a2 a2) th))) (.f64 1/720 (.f64 (pow.f64 th 6) (*.f64 a2 a2)))) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))))
(-.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (.f64 1/2 (.f64 (.f64 th th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(/.f64 (-.f64 (.f64 a1 a1) (.f64 1/2 (.f64 th (.f64 (*.f64 a1 a1) th)))) (sqrt.f64 2))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))))
(-.f64 (fma.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (.f64 1/2 (.f64 (.f64 th th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(fma.f64 1/24 (/.f64 (pow.f64 th 4) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (/.f64 (-.f64 (.f64 a1 a1) (.f64 1/2 (.f64 th (.f64 (.f64 a1 a1) th)))) (sqrt.f64 2)))
(fma.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (/.f64 (-.f64 (.f64 a1 a1) (.f64 1/2 (.f64 th (.f64 (*.f64 a1 a1) th)))) (sqrt.f64 2)))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/720 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2)))))
(-.f64 (fma.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (fma.f64 1/2 (.f64 (.f64 th th) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (.f64 1/720 (.f64 (pow.f64 th 6) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))
(-.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 1/24 (.f64 (pow.f64 th 4) (.f64 a1 a1)))) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 1/720 (.f64 (pow.f64 th 6) (.f64 a1 a1))) (.f64 1/2 (.f64 th (.f64 (*.f64 a1 a1) th)))) (sqrt.f64 2)))
(-.f64 (/.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) (.f64 a1 a1))) (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 1/2 (.f64 th (.f64 (.f64 a1 a1) th))) (.f64 1/720 (.f64 (pow.f64 th 6) (*.f64 a1 a1)))) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(-.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(-.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (fma.f64 1/2 (.f64 (.f64 th th) (/.f64 (.f64 a2 a2) (sqrt.f64 2))) (.f64 1/2 (.f64 (.f64 th th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))
(-.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 1/2 (.f64 th (.f64 (.f64 a2 a2) th))) (.f64 1/2 (.f64 th (.f64 (*.f64 a1 a1) th)))) (sqrt.f64 2)))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2)))))
(-.f64 (fma.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))) (fma.f64 1/2 (.f64 (.f64 th th) (/.f64 (.f64 a2 a2) (sqrt.f64 2))) (.f64 1/2 (.f64 (.f64 th th) (/.f64 (.f64 a1 a1) (sqrt.f64 2))))))
(-.f64 (fma.f64 1/24 (/.f64 (pow.f64 th 4) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) (.f64 a2 a2))) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))) (/.f64 (+.f64 (.f64 1/2 (.f64 th (.f64 (.f64 a2 a2) th))) (.f64 1/2 (.f64 th (.f64 (*.f64 a1 a1) th)))) (sqrt.f64 2)))
(-.f64 (fma.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (/.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) (.f64 a2 a2))) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))) (/.f64 (+.f64 (.f64 1/2 (.f64 th (.f64 (.f64 a2 a2) th))) (.f64 1/2 (.f64 th (.f64 (.f64 a1 a1) th)))) (sqrt.f64 2)))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (pow.f64 a2 2)) (sqrt.f64 2)))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))) (+.f64 (.f64 1/720 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2))) (.f64 1/720 (/.f64 (.f64 (pow.f64 th 6) (pow.f64 a2 2)) (sqrt.f64 2)))))))
(-.f64 (fma.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))) (fma.f64 1/2 (.f64 (.f64 th th) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (fma.f64 1/2 (.f64 (.f64 th th) (/.f64 (.f64 a2 a2) (sqrt.f64 2))) (fma.f64 1/720 (.f64 (pow.f64 th 6) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (.f64 1/720 (.f64 (.f64 a2 a2) (/.f64 (pow.f64 th 6) (sqrt.f64 2))))))))
(-.f64 (fma.f64 1/24 (/.f64 (pow.f64 th 4) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) (.f64 a2 a2))) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))) (+.f64 (/.f64 (+.f64 (.f64 1/720 (.f64 (pow.f64 th 6) (.f64 a2 a2))) (.f64 1/720 (.f64 (pow.f64 th 6) (.f64 a1 a1)))) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 1/2 (.f64 th (.f64 (.f64 a2 a2) th))) (.f64 1/2 (.f64 th (.f64 (*.f64 a1 a1) th)))) (sqrt.f64 2))))
(-.f64 (fma.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (/.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) (.f64 a2 a2))) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))) (+.f64 (/.f64 (+.f64 (.f64 1/720 (.f64 (pow.f64 th 6) (.f64 a2 a2))) (.f64 1/720 (.f64 (pow.f64 th 6) (.f64 a1 a1)))) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 1/2 (.f64 th (.f64 (.f64 a2 a2) th))) (.f64 1/2 (.f64 th (.f64 (.f64 a1 a1) th)))) (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (cos.f64 th))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))

prune339.0ms (3.1%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	214	17	231
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	216	17	233

Error

0.0b

Counts

233 → 17

Alt Table

Status	Error	Program
▶	0.4b	(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
	0.8b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (pow.f64 (cbrt.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))) 3))
	17.9b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 2))) (*.f64 a2 a2)))
	0.4b	(+.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
	0.5b	(+.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (.f64 2 (sqrt.f64 2)))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
	0.7b	(+.f64 (.f64 (log.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
	1.0b	(+.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
	0.5b	(fma.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
	17.9b	(+.f64 (pow.f64 (.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
	0.5b	(fma.f64 a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
	0.6b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3)) (.f64 a2 a2)))
	0.5b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (*.f64 a2 a2))))
	0.5b	(+.f64 (.f64 (log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
	0.7b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (log.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 a2 a2)))
	0.8b	(+.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))) 3) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
	0.5b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (.f64 2 (sqrt.f64 2)))) (*.f64 a2 a2)))
	1.0b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 3) (.f64 a2 a2)))

Compiler

Compiled 6591 to 3769 computations (42.8% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 a2 a2 (*.f64 a1 a1))
✓	0.1b	(.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))
✓	0.4b	(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))

series72.0ms (0.7%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
7.0ms	th	@	inf	(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
6.0ms	a2	@	-inf	(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
6.0ms	th	@	0	(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
6.0ms	th	@	-inf	(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
4.0ms	a1	@	-inf	(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))

rewrite59.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

259×	`rule-36-rev_binary64`
247×	`rule-29_binary64`
208×	`rule-43_binary64`
208×	`rule-44_binary64`
208×	`rule-45_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	278	36
2	3623	36

Stop Event

1×	node limit

Counts

3 → 129

Calls

Call 1

Inputs
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))
(fma.f64 a2 a2 (*.f64 a1 a1))

Outputs
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(/.f64 1/2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (cbrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (cbrt.f64 2))) (/.f64 1/2 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)) (/.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4))) (/.f64 1/2 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (hypot.f64 a2 a1) (sqrt.f64 (/.f64 (cos.f64 th) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (.f64 (cos.f64 th) (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (neg.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (+.f64 (cos.f64 th) (cos.f64 th))))) (.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 0 (neg.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (+.f64 (cos.f64 th) (cos.f64 th))) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (+.f64 (cos.f64 th) (cos.f64 th))) (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (+.f64 (cos.f64 th) (cos.f64 th)))) (+.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) 2) (+.f64 (cos.f64 th) (cos.f64 th))) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))) (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))) (+.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 th) (/.f64 1 (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 1 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 3) (pow.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (pow.f64 (cos.f64 th) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 2) (cbrt.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) (.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a1 a1) (.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (hypot.f64 a2 a1) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (hypot.f64 a2 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a2 a2) (.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (hypot.f64 a2 a1) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 0 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 (hypot.f64 a2 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) 2))) (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) 2)))) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 (hypot.f64 a2 a1) 2)) (+.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 (hypot.f64 a2 a1) 2))) (+.f64 (+.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (hypot.f64 a2 a1) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (hypot.f64 a2 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 a2 a1) (hypot.f64 a2 a1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 (hypot.f64 a2 a1) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3)) (/.f64 1/2 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (+.f64 (pow.f64 (.f64 a2 a2) 3) (pow.f64 (.f64 a1 a1) 3)) (+.f64 (pow.f64 (.f64 a2 a2) 3) (pow.f64 (.f64 a1 a1) 3))) (/.f64 1/2 (+.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (-.f64 (pow.f64 a1 4) (.f64 (.f64 a2 a2) (.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (hypot.f64 a2 a1) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 a2 a2) 3) (pow.f64 (.f64 a1 a1) 3)) (+.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (-.f64 (pow.f64 a1 4) (.f64 (.f64 a2 a2) (.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 a2 a1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (hypot.f64 a2 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) 2)))))))

Outputs

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(/.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (+.f64 (cos.f64 th) (cos.f64 th))) (/.f64 1/2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sqrt.f64 2)) (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (+.f64 (cos.f64 th) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 1/2 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) (neg.f64 (*.f64 (cos.f64 th) 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(/.f64 (cos.f64 th) (sqrt.f64 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (+.f64 (cos.f64 th) (cos.f64 th))) (/.f64 1/2 (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (neg.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (+.f64 (cos.f64 th) (cos.f64 th))))) (*.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 0 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (+.f64 (cos.f64 th) (cos.f64 th))) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (+.f64 (cos.f64 th) (cos.f64 th))) (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (+.f64 (cos.f64 th) (cos.f64 th)))) (+.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (+.f64 (cos.f64 th) (cos.f64 th))) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))) (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))) (+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 th) (/.f64 1 (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 1 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 3) (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (pow.f64 (cos.f64 th) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 2) (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a1 a1) (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (hypot.f64 a2 a1) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (hypot.f64 a2 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (hypot.f64 a2 a1) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 0 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 (hypot.f64 a2 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) 2))) (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) 2)))) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 (hypot.f64 a2 a1) 2)) (+.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 (hypot.f64 a2 a1) 2))) (+.f64 (+.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 a2 a1) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 a2 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 a2 a1) (hypot.f64 a2 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 (hypot.f64 a2 a1) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3)) (/.f64 1/2 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a2 a2) 3) (pow.f64 (*.f64 a1 a1) 3)) (+.f64 (pow.f64 (*.f64 a2 a2) 3) (pow.f64 (*.f64 a1 a1) 3))) (/.f64 1/2 (+.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (-.f64 (pow.f64 a1 4) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (hypot.f64 a2 a1) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 a2 a2) 3) (pow.f64 (*.f64 a1 a1) 3)) (+.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (-.f64 (pow.f64 a1 4) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 a2 a1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (hypot.f64 a2 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) 2)))))))

simplify48.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

433×	`rule-37_binary64`
433×	`rule-38_binary64`
433×	`rule-39_binary64`
418×	`rule-40_binary64`
387×	`rule-29_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	85	1744
1	627	1543
2	2604	1543

Stop Event

1×	node limit

Counts

225 → 163

Calls

Call 1

Inputs
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(-.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2)))))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (pow.f64 a2 2)) (sqrt.f64 2)))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))) (+.f64 (.f64 1/720 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2))) (.f64 1/720 (/.f64 (.f64 (pow.f64 th 6) (pow.f64 a2 2)) (sqrt.f64 2)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(-.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (+.f64 (.f64 1/2 (.f64 (pow.f64 a2 2) (pow.f64 th 2))) (.f64 1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 2)))))
(-.f64 (+.f64 (pow.f64 a2 2) (+.f64 (.f64 1/24 (.f64 (pow.f64 a1 2) (pow.f64 th 4))) (+.f64 (pow.f64 a1 2) (.f64 1/24 (.f64 (pow.f64 th 4) (pow.f64 a2 2)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a2 2) (pow.f64 th 2))) (.f64 1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 2)))))
(-.f64 (+.f64 (pow.f64 a2 2) (+.f64 (.f64 1/24 (.f64 (pow.f64 a1 2) (pow.f64 th 4))) (+.f64 (pow.f64 a1 2) (.f64 1/24 (.f64 (pow.f64 th 4) (pow.f64 a2 2)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a2 2) (pow.f64 th 2))) (+.f64 (.f64 1/720 (.f64 (pow.f64 th 6) (pow.f64 a2 2))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a1 2) (pow.f64 th 2))) (.f64 1/720 (.f64 (pow.f64 a1 2) (pow.f64 th 6)))))))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))

Outputs
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(-.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(-.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (fma.f64 1/2 (.f64 (.f64 th th) (/.f64 (.f64 a2 a2) (sqrt.f64 2))) (/.f64 (.f64 (.f64 a1 a1) (.f64 1/2 (*.f64 th th))) (sqrt.f64 2))))
(-.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (.f64 1/2 (+.f64 (.f64 a1 (.f64 (.f64 th th) a1)) (.f64 a2 (.f64 (.f64 th th) a2)))) (sqrt.f64 2)))
(-.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (.f64 1/2 (+.f64 (.f64 a2 (.f64 (.f64 th th) a2)) (.f64 (.f64 a1 a1) (.f64 th th)))) (sqrt.f64 2)))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2)))))
(-.f64 (fma.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (+.f64 (/.f64 (.f64 (pow.f64 th 4) (.f64 1/24 (.f64 a2 a2))) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))) (fma.f64 1/2 (.f64 (.f64 th th) (/.f64 (.f64 a2 a2) (sqrt.f64 2))) (/.f64 (.f64 (.f64 a1 a1) (.f64 1/2 (.f64 th th))) (sqrt.f64 2))))
(-.f64 (fma.f64 1/24 (.f64 (.f64 a1 a1) (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 (fma.f64 a2 a2 (fma.f64 a1 a1 (.f64 (.f64 a2 a2) (.f64 1/24 (pow.f64 th 4))))) (sqrt.f64 2))) (/.f64 (.f64 1/2 (+.f64 (.f64 a1 (.f64 (.f64 th th) a1)) (.f64 a2 (.f64 (.f64 th th) a2)))) (sqrt.f64 2)))
(-.f64 (fma.f64 1/24 (.f64 (.f64 a1 a1) (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 (fma.f64 a2 a2 (fma.f64 a1 a1 (.f64 (.f64 a2 a2) (.f64 1/24 (pow.f64 th 4))))) (sqrt.f64 2))) (/.f64 (.f64 1/2 (+.f64 (.f64 a2 (.f64 (.f64 th th) a2)) (.f64 (.f64 a1 a1) (.f64 th th)))) (sqrt.f64 2)))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (pow.f64 a2 2)) (sqrt.f64 2)))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))) (+.f64 (.f64 1/720 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2))) (.f64 1/720 (/.f64 (.f64 (pow.f64 th 6) (pow.f64 a2 2)) (sqrt.f64 2)))))))
(-.f64 (fma.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (+.f64 (/.f64 (.f64 (pow.f64 th 4) (.f64 1/24 (.f64 a2 a2))) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))) (fma.f64 1/2 (.f64 (.f64 th th) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (fma.f64 1/2 (.f64 (.f64 th th) (/.f64 (.f64 a2 a2) (sqrt.f64 2))) (fma.f64 1/720 (.f64 (pow.f64 th 6) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (.f64 1/720 (.f64 (.f64 a2 a2) (/.f64 (pow.f64 th 6) (sqrt.f64 2))))))))
(-.f64 (fma.f64 1/24 (.f64 (.f64 a1 a1) (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 (fma.f64 a2 a2 (fma.f64 a1 a1 (.f64 (.f64 a2 a2) (.f64 1/24 (pow.f64 th 4))))) (sqrt.f64 2))) (+.f64 (/.f64 (.f64 1/720 (+.f64 (.f64 a2 (.f64 (pow.f64 th 6) a2)) (.f64 a1 (.f64 (pow.f64 th 6) a1)))) (sqrt.f64 2)) (/.f64 (.f64 1/2 (+.f64 (.f64 a1 (.f64 (.f64 th th) a1)) (.f64 a2 (.f64 (*.f64 th th) a2)))) (sqrt.f64 2))))
(-.f64 (fma.f64 1/24 (.f64 (.f64 a1 a1) (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 (fma.f64 a2 a2 (fma.f64 a1 a1 (.f64 (.f64 a2 a2) (.f64 1/24 (pow.f64 th 4))))) (sqrt.f64 2))) (+.f64 (/.f64 (.f64 1/2 (+.f64 (.f64 a2 (.f64 (.f64 th th) a2)) (.f64 (.f64 a1 a1) (.f64 th th)))) (sqrt.f64 2)) (/.f64 (.f64 1/720 (+.f64 (.f64 (.f64 a1 a1) (pow.f64 th 6)) (.f64 a2 (*.f64 (pow.f64 th 6) a2)))) (sqrt.f64 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
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(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(pow.f64 a2 2)
(*.f64 a2 a2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(pow.f64 a2 2)
(*.f64 a2 a2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(pow.f64 a1 2)
(*.f64 a1 a1)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(pow.f64 a1 2)
(*.f64 a1 a1)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))

prune216.0ms (2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	160	3	163
Fresh	9	7	16
Picked	0	1	1
Done	0	0	0
Total	169	11	180

Error

0.0b

Counts

180 → 11

Alt Table

Status	Error	Program
	0.5b	(+.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (.f64 2 (sqrt.f64 2)))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
	0.7b	(+.f64 (.f64 (log.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
	0.5b	(fma.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
	17.9b	(+.f64 (pow.f64 (.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
	0.5b	(fma.f64 a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
	0.6b	(.f64 2 (/.f64 1/2 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))
	0.6b	(.f64 (+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)) (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4))) (/.f64 1/2 (pow.f64 2 1/4)))
✓	0.4b	(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
	0.5b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (.f64 2 (sqrt.f64 2)))) (*.f64 a2 a2)))
▶	0.4b	(+.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
	1.1b	(.f64 (cbrt.f64 (.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) 2))

Compiler

Compiled 3751 to 2326 computations (38% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (sqrt.f64 2) (cos.f64 th))
	0.3b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
✓	0.3b	(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	0.7b	(/.f64 (cos.f64 th) (sqrt.f64 2))

series30.0ms (0.3%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	a1	@	inf	(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
4.0ms	th	@	-inf	(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
4.0ms	th	@	inf	(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
3.0ms	a1	@	0	(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
3.0ms	a1	@	-inf	(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))

rewrite52.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

276×	`rule-29_binary64`
223×	`rule-36-rev_binary64`
176×	`rule-43_binary64`
176×	`rule-44_binary64`
176×	`rule-45_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	235	22
2	3186	22

Stop Event

1×	node limit

Counts

2 → 113

Calls

Call 1

Inputs
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (cos.f64 th))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)))) (exp.f64 (log1p.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2))))) (+.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2))) (+.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)))) (+.f64 (+.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (*.f64 a1 (/.f64 (cos.f64 0) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 a1) (/.f64 (cos.f64 0) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/2 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 0) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2))) 2) (cbrt.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a1) 2) (/.f64 (cbrt.f64 (pow.f64 a1 4)) (/.f64 (sqrt.f64 2) (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 0)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 0)) 2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 0)) (fabs.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 0)) 2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 0) (sqrt.f64 2)))) (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 0) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 0)) (/.f64 (sqrt.f64 (cos.f64 0)) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 0)) (fabs.f64 (/.f64 (sqrt.f64 (cos.f64 0)) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 (+.f64 a1 a1)) (*.f64 1/2 (/.f64 (cos.f64 0) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 (cos.f64 0) (sqrt.f64 2))) (*.f64 a1 (+.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 (/.f64 (cos.f64 0) (sqrt.f64 2))) a1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 0) (sqrt.f64 2)) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (/.f64 1/2 (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a1 a1) (/.f64 1/2 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 a1 (+.f64 a1 a1)) (*.f64 a1 (+.f64 a1 a1))) (/.f64 1/2 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)) 3) (pow.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)) 3)) (/.f64 1/2 (pow.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (*.f64 (cos.f64 0) (*.f64 a1 a1))) (/.f64 1/2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/2 (*.f64 a1 (+.f64 a1 a1))) (*.f64 1/2 (*.f64 a1 (+.f64 a1 a1)))) (*.f64 1/2 (/.f64 (cos.f64 0) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (*.f64 a1 a1) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 0))) 2)) (/.f64 (*.f64 a1 a1) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 0))) 2))) (/.f64 1/2 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)))) (/.f64 (*.f64 a1 a1) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 0))))) (/.f64 1/2 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 2 (sqrt.f64 2))) (/.f64 (*.f64 a1 a1) (*.f64 2 (sqrt.f64 2)))) (/.f64 1/2 (/.f64 1/2 (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (+.f64 (cos.f64 0) (cos.f64 0))) (fabs.f64 (/.f64 1/2 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (+.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 0) (sqrt.f64 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a1) (*.f64 a1 (/.f64 (cos.f64 0) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 a1 a1) 3) (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a1 (*.f64 a1 (/.f64 (cos.f64 0) (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 0) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2))) 2) (cbrt.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 0) (sqrt.f64 2)))) (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 0) (sqrt.f64 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a1 (+.f64 a1 a1)) (*.f64 1/2 (/.f64 (cos.f64 0) (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 (cos.f64 0) (*.f64 a1 a1)) (sqrt.f64 2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 2) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sqrt.f64 2) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)) (/.f64 (sqrt.f64 2) (cos.f64 0))) (/.f64 (sqrt.f64 2) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)))) (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (cos.f64 0))))) (+.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)) (/.f64 (sqrt.f64 2) (cos.f64 0))) (+.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)) (/.f64 (sqrt.f64 2) (cos.f64 0)))) (+.f64 (+.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)) (/.f64 (sqrt.f64 2) (cos.f64 0))) (/.f64 (sqrt.f64 2) (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/2 (/.f64 (cos.f64 0) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (/.f64 1 (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (fabs.f64 (/.f64 1 (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 2) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 0))) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 0))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 0))) 2) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (cbrt.f64 2) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 0))) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/4) (/.f64 (pow.f64 2 1/4) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 1/2 (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cos.f64 0)) (*.f64 2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)) (/.f64 (sqrt.f64 2) (cos.f64 0))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)) (/.f64 (sqrt.f64 2) (cos.f64 0))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 2 (sqrt.f64 2)) (*.f64 2 (sqrt.f64 2))) (/.f64 1/2 (/.f64 (cos.f64 0) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)) 3) (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)) 3)) (/.f64 1/2 (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/2 (*.f64 2 (sqrt.f64 2))) (*.f64 1/2 (*.f64 2 (sqrt.f64 2)))) (/.f64 1/2 (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (cos.f64 0)) 2)) (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (cos.f64 0)) 2))) (/.f64 1/2 (cbrt.f64 (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 0))) (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 0)))) (/.f64 1/2 (sqrt.f64 (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (+.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)) (/.f64 (sqrt.f64 2) (cos.f64 0)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 0))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 0))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (cos.f64 0))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)) (+.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)) (/.f64 (sqrt.f64 2) (cos.f64 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (cos.f64 0) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 2) (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 2) (cos.f64 0)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 0))) 2) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 0))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 0))) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 0))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 2)) (/.f64 1/2 (cos.f64 0)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (cos.f64 0))))))))

simplify31.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

277×	`rule-12_binary64`
253×	`rule-9-rev_binary64`
244×	`rule-19-rev_binary64`
221×	`rule-37_binary64`
221×	`rule-38_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	520
1	319	500
2	1310	488

Stop Event

1×	node limit

Counts

141 → 130

Calls

Call 1

Inputs
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/720 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 5/24 (.f64 (sqrt.f64 2) (pow.f64 th 4))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 5/24 (.f64 (sqrt.f64 2) (pow.f64 th 4))) (+.f64 (.f64 61/720 (.f64 (sqrt.f64 2) (pow.f64 th 6))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2))))))

Outputs
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(-.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))))
(-.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (.f64 1/2 (.f64 (.f64 th th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(/.f64 (-.f64 (.f64 a1 a1) (.f64 1/2 (.f64 a1 (.f64 (*.f64 th th) a1)))) (sqrt.f64 2))
(/.f64 (-.f64 (.f64 a1 a1) (.f64 1/2 (.f64 a1 (.f64 a1 (*.f64 th th))))) (sqrt.f64 2))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))))
(-.f64 (fma.f64 1/24 (/.f64 (.f64 (.f64 a1 a1) (pow.f64 th 4)) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (.f64 1/2 (.f64 (.f64 th th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(fma.f64 1/24 (.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (pow.f64 th 4)) (/.f64 (-.f64 (.f64 a1 a1) (.f64 1/2 (.f64 a1 (.f64 (*.f64 th th) a1)))) (sqrt.f64 2)))
(/.f64 (+.f64 (-.f64 (.f64 a1 a1) (.f64 1/2 (.f64 a1 (.f64 a1 (.f64 th th))))) (.f64 1/24 (.f64 (.f64 a1 a1) (pow.f64 th 4)))) (sqrt.f64 2))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/720 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2)))))
(-.f64 (fma.f64 1/24 (/.f64 (.f64 (.f64 a1 a1) (pow.f64 th 4)) (sqrt.f64 2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (fma.f64 1/2 (.f64 (.f64 th th) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (.f64 1/720 (.f64 (pow.f64 th 6) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))
(-.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 1/24 (.f64 a1 (.f64 (pow.f64 th 4) a1)))) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 1/2 (.f64 a1 (.f64 (.f64 th th) a1))) (.f64 1/720 (.f64 a1 (*.f64 (pow.f64 th 6) a1)))) (sqrt.f64 2)))
(/.f64 (-.f64 (+.f64 (.f64 a1 a1) (.f64 1/24 (.f64 (.f64 a1 a1) (pow.f64 th 4)))) (+.f64 (.f64 1/720 (.f64 a1 (.f64 a1 (pow.f64 th 6)))) (.f64 1/2 (.f64 a1 (.f64 a1 (*.f64 th th)))))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2))))
(+.f64 (sqrt.f64 2) (.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 th th))))
(fma.f64 (sqrt.f64 2) (.f64 1/2 (.f64 th th)) (sqrt.f64 2))
(.f64 (sqrt.f64 2) (+.f64 1 (.f64 1/2 (*.f64 th th))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 5/24 (.f64 (sqrt.f64 2) (pow.f64 th 4))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 5/24 (.f64 (sqrt.f64 2) (pow.f64 th 4)) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 th th)))))
(fma.f64 (sqrt.f64 2) (.f64 (pow.f64 th 4) 5/24) (fma.f64 (sqrt.f64 2) (.f64 1/2 (*.f64 th th)) (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (.f64 th th)) (.f64 (pow.f64 th 4) 5/24))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 5/24 (.f64 (sqrt.f64 2) (pow.f64 th 4))) (+.f64 (.f64 61/720 (.f64 (sqrt.f64 2) (pow.f64 th 6))) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 5/24 (.f64 (sqrt.f64 2) (pow.f64 th 4)) (fma.f64 61/720 (.f64 (sqrt.f64 2) (pow.f64 th 6)) (.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 th th))))))
(+.f64 (sqrt.f64 2) (fma.f64 5/24 (.f64 (sqrt.f64 2) (pow.f64 th 4)) (fma.f64 (sqrt.f64 2) (.f64 1/2 (.f64 th th)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 th 6) 61/720)))))
(+.f64 (sqrt.f64 2) (fma.f64 (sqrt.f64 2) (.f64 (pow.f64 th 4) 5/24) (.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (.f64 th th)) (*.f64 (pow.f64 th 6) 61/720)))))

prune282.0ms (2.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	216	1	217
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	218	10	228

Error

0.0b

Counts

228 → 10

Alt Table

Status	Error	Program
	0.5b	(+.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (.f64 2 (sqrt.f64 2)))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
	0.7b	(+.f64 (.f64 (log.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
	0.5b	(+.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (fma.f64 a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) 0))
▶	0.5b	(fma.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
	17.9b	(+.f64 (pow.f64 (.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
	0.6b	(.f64 (+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)) (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4))) (/.f64 1/2 (pow.f64 2 1/4)))
✓	0.4b	(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
	0.5b	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (.f64 2 (sqrt.f64 2)))) (*.f64 a2 a2)))
	1.1b	(.f64 (cbrt.f64 (.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) 2))
	0.6b	(.f64 2 (/.f64 1/2 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))

Compiler

Compiled 6090 to 3857 computations (36.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
	0.3b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
✓	0.3b	(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)
	0.7b	(/.f64 (cos.f64 th) (sqrt.f64 2))

series73.0ms (0.7%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
8.0ms	th	@	inf	(fma.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
7.0ms	th	@	-inf	(fma.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
6.0ms	a1	@	-inf	(fma.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
6.0ms	th	@	0	(fma.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
6.0ms	a1	@	0	(fma.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))

rewrite56.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

286×	`rule-36-rev_binary64`
265×	`rule-29_binary64`
230×	`rule-43_binary64`
230×	`rule-44_binary64`
230×	`rule-45_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	304	39
2	4008	39

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

Inputs
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)
(fma.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a1 (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) 3) (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (pow.f64 a1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a1 3) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)) 2) (cbrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)) (sqrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))) (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))) (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))) (pow.f64 (cbrt.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))) 2) (cbrt.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))) (sqrt.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))) (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))) (neg.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))) 3) (pow.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))) 3)) (/.f64 1/2 (pow.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) 3) (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) 3)) (+.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) 3) (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) 3))) (/.f64 1/2 (+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))) (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) 2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))) 3) (pow.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) 3) (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) 3)) (+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))) (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) 2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))))))))

simplify46.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

485×	`rule-29_binary64`
447×	`rule-37_binary64`
447×	`rule-38_binary64`
447×	`rule-39_binary64`
429×	`rule-40_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	83	1364
1	622	1136
2	2646	1136

Stop Event

1×	node limit

Counts

130 → 94

Calls

Call 1

Inputs
(/.f64 a1 (sqrt.f64 2))
(-.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 1/2 (/.f64 (.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))))
(-.f64 (+.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 a1 (pow.f64 th 4)) (sqrt.f64 2)))) (.f64 1/2 (/.f64 (.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))))
(-.f64 (+.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 a1 (pow.f64 th 4)) (sqrt.f64 2)))) (+.f64 (.f64 1/720 (/.f64 (.f64 a1 (pow.f64 th 6)) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 a1 (pow.f64 th 2)) (sqrt.f64 2)))))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2)))))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (pow.f64 a2 2)) (sqrt.f64 2)))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))) (+.f64 (.f64 1/720 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2))) (.f64 1/720 (/.f64 (.f64 (pow.f64 th 6) (pow.f64 a2 2)) (sqrt.f64 2)))))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))

Outputs
(/.f64 a1 (sqrt.f64 2))
(-.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 1/2 (/.f64 (.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))))
(-.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 a1 (*.f64 th th)) 1/2) (sqrt.f64 2)))
(/.f64 (-.f64 a1 (.f64 1/2 (.f64 a1 (*.f64 th th)))) (sqrt.f64 2))
(-.f64 (+.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 a1 (pow.f64 th 4)) (sqrt.f64 2)))) (.f64 1/2 (/.f64 (.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (/.f64 a1 (sqrt.f64 2)) (-.f64 (.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 a1 (sqrt.f64 2)))) (/.f64 (.f64 (.f64 a1 (*.f64 th th)) 1/2) (sqrt.f64 2))))
(+.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 (-.f64 (.f64 1/24 (.f64 a1 (pow.f64 th 4))) (.f64 1/2 (.f64 a1 (*.f64 th th)))) (sqrt.f64 2)))
(-.f64 (+.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 a1 (pow.f64 th 4)) (sqrt.f64 2)))) (+.f64 (.f64 1/720 (/.f64 (.f64 a1 (pow.f64 th 6)) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 a1 (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 a1 (sqrt.f64 2)) (-.f64 (.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 a1 (sqrt.f64 2)))) (fma.f64 1/720 (.f64 (pow.f64 th 6) (/.f64 a1 (sqrt.f64 2))) (/.f64 (.f64 (.f64 a1 (.f64 th th)) 1/2) (sqrt.f64 2)))))
(-.f64 (/.f64 (+.f64 a1 (.f64 1/24 (.f64 a1 (pow.f64 th 4)))) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 1/2 (.f64 a1 (.f64 th th))) (.f64 1/720 (*.f64 a1 (pow.f64 th 6)))) (sqrt.f64 2)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(-.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(-.f64 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (fma.f64 1/2 (.f64 (.f64 th th) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (.f64 1/2 (.f64 (.f64 th th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))))
(-.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 1/2 (.f64 th (.f64 (.f64 a1 a1) th))) (.f64 1/2 (.f64 th (.f64 (*.f64 a2 a2) th)))) (sqrt.f64 2)))
(-.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 1/2 (.f64 (.f64 th th) (.f64 a1 a1))) (.f64 1/2 (.f64 th (.f64 (*.f64 a2 a2) th)))) (sqrt.f64 2)))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2)))))
(-.f64 (fma.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (+.f64 (.f64 1/24 (.f64 (.f64 a2 a2) (/.f64 (pow.f64 th 4) (sqrt.f64 2)))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))) (fma.f64 1/2 (.f64 (.f64 th th) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (.f64 1/2 (.f64 (.f64 th th) (/.f64 (.f64 a2 a2) (sqrt.f64 2))))))
(-.f64 (fma.f64 1/24 (.f64 (pow.f64 th 4) (.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) (.f64 a2 a2))) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))) (/.f64 (+.f64 (.f64 1/2 (.f64 th (.f64 (.f64 a1 a1) th))) (.f64 1/2 (.f64 th (.f64 (.f64 a2 a2) th)))) (sqrt.f64 2)))
(-.f64 (fma.f64 1/24 (.f64 (pow.f64 th 4) (.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) (.f64 a2 a2))) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))) (/.f64 (+.f64 (.f64 1/2 (.f64 (.f64 th th) (.f64 a1 a1))) (.f64 1/2 (.f64 th (.f64 (.f64 a2 a2) th)))) (sqrt.f64 2)))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (pow.f64 a2 2)) (sqrt.f64 2)))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2))) (+.f64 (.f64 1/720 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2))) (.f64 1/720 (/.f64 (.f64 (pow.f64 th 6) (pow.f64 a2 2)) (sqrt.f64 2)))))))
(-.f64 (fma.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (+.f64 (.f64 1/24 (.f64 (.f64 a2 a2) (/.f64 (pow.f64 th 4) (sqrt.f64 2)))) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))) (fma.f64 1/2 (.f64 (.f64 th th) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (fma.f64 1/2 (.f64 (.f64 th th) (/.f64 (.f64 a2 a2) (sqrt.f64 2))) (fma.f64 1/720 (.f64 (pow.f64 th 6) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (.f64 1/720 (.f64 (.f64 a2 a2) (/.f64 (pow.f64 th 6) (sqrt.f64 2))))))))
(-.f64 (fma.f64 1/24 (.f64 (pow.f64 th 4) (.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) (.f64 a2 a2))) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))) (+.f64 (/.f64 (+.f64 (.f64 1/720 (.f64 a1 (.f64 a1 (pow.f64 th 6)))) (.f64 1/720 (.f64 (pow.f64 th 6) (.f64 a2 a2)))) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 1/2 (.f64 th (.f64 (.f64 a1 a1) th))) (.f64 1/2 (.f64 th (.f64 (.f64 a2 a2) th)))) (sqrt.f64 2))))
(-.f64 (fma.f64 1/24 (.f64 (pow.f64 th 4) (.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) (.f64 a2 a2))) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))) (+.f64 (/.f64 (+.f64 (.f64 1/720 (.f64 a1 (.f64 a1 (pow.f64 th 6)))) (.f64 1/720 (.f64 (pow.f64 th 6) (.f64 a2 a2)))) (sqrt.f64 2)) (/.f64 (+.f64 (.f64 1/2 (.f64 (.f64 th th) (.f64 a1 a1))) (.f64 1/2 (.f64 th (.f64 (.f64 a2 a2) th)))) (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
(.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))

prune267.0ms (2.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	224	1	225
Fresh	1	7	8
Picked	1	0	1
Done	0	1	1
Total	226	9	235

Error

0.0b

Counts

235 → 9

Alt Table

Status	Error	Program
	0.5b	(+.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (.f64 2 (sqrt.f64 2)))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
	0.7b	(+.f64 (.f64 (log.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
	0.5b	(+.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (fma.f64 a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) 0))
	17.9b	(+.f64 (pow.f64 (.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
	0.6b	(.f64 (+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)) (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4))) (/.f64 1/2 (pow.f64 2 1/4)))
✓	0.4b	(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 2))
	1.1b	(.f64 (cbrt.f64 (.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) 2))
	0.5b	(fma.f64 a1 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (.f64 2 (sqrt.f64 2)))) (.f64 a2 a2)))
	0.6b	(.f64 2 (/.f64 1/2 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))

Compiler

Compiled 5859 to 3473 computations (40.7% saved)

regimes3.5s (32%)

Accuracy

Total 0.5b remaining (95.6%)

Threshold costs 0.5b (95.6%)

Counts

276 → 1

Compiler

Compiled 59267 to 42727 computations (27.9% saved)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	21
1	15	21

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 1 0)

Outputs
(fma.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 1 0)

end179.0ms (1.7%)

Stop Event

1×

fuel

Remove

(sort a1 a2)

Compiler

Compiled 288 to 218 computations (24.3% saved)

Details

analyze1.1s (10.5%)

sample4.1s (38%)

preprocess52.0ms (0.5%)

simplify24.0ms (0.2%)

prune3.0ms (0%)

localize10.0ms (0.1%)

series119.0ms (1.1%)

rewrite71.0ms (0.7%)

simplify56.0ms (0.5%)

prune339.0ms (3.1%)

localize8.0ms (0.1%)

series72.0ms (0.7%)

rewrite59.0ms (0.5%)

simplify48.0ms (0.4%)

prune216.0ms (2%)

localize11.0ms (0.1%)

series30.0ms (0.3%)

rewrite52.0ms (0.5%)

simplify31.0ms (0.3%)

prune282.0ms (2.6%)

localize10.0ms (0.1%)

series73.0ms (0.7%)

rewrite56.0ms (0.5%)

simplify46.0ms (0.4%)

prune267.0ms (2.5%)

regimes3.5s (32%)

simplify1.0ms (0%)

end179.0ms (1.7%)

Profiling