Metrics for Migdal et al, Equation (64)

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 21 to 14 computations (33.3% saved)

sample1.4s (15.2%)

Results

1.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 780.0ms

ival-cos: 309.0ms (39.6% of total)

ival-mult: 227.0ms (29.1% of total)

ival-div: 103.0ms (13.2% of total)

ival-sqrt: 74.0ms (9.5% of total)

ival-add: 39.0ms (5% of total)

ival-true: 12.0ms (1.5% of total)

ival-assert: 9.0ms (1.2% of total)

const: 8.0ms (1% of total)

Bogosity

preprocess190.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1241×	`fma-define`
680×	`times-frac`
547×	`fmm-def`
457×	`div-sub`
352×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	606
1	145	562
2	421	562
3	1139	562
4	2837	562
5	5637	562
6	6570	562
7	7382	562
8	7458	562
9	7474	562

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 a1) (neg.f64 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 a2) (neg.f64 a2))))
(+.f64 (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(neg.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 a1) (neg.f64 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))))
(neg.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 a2) (neg.f64 a2)))))
(neg.f64 (+.f64 (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)))
(+.f64 (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th)) (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th)))

Outputs
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 a1) (neg.f64 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 a2) (neg.f64 a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 a1) (neg.f64 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))))
(neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (fma.f64 a1 a1 (.f64 a2 a2))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 a2) (neg.f64 a2)))))
(neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (fma.f64 a1 a1 (.f64 a2 a2))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (+.f64 (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))))
(neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (fma.f64 a1 a1 (.f64 a2 a2))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th)) (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 th th) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 th th (.f64 a2 a2)))
(.f64 (cos.f64 a1) (/.f64 (fma.f64 th th (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th)))
(.f64 (/.f64 (cos.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 th th)))
(.f64 (/.f64 (cos.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 th th)))
(.f64 (cos.f64 a2) (/.f64 (fma.f64 th th (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))

Symmetry

(abs a1)

(abs a2)

(abs th)

(sort a1 a2)

explain344.0ms (3.8%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`a1`
-	-	`(*.f64 a1 a1)`
-	-	`(sqrt.f64 #s(literal 2 binary64))`
-	-	`th`
-	-	`#s(literal 2 binary64)`
-	-	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
-	-	`(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))`
-	-	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
-	-	`(*.f64 a2 a2)`
-	-	`(cos.f64 th)`
-	-	`(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))`
-	-	`a2`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Results

177.0ms

512×

valid

Compiler

Compiled 160 to 52 computations (67.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 20.0ms (44.4% of total)

ival-cos: 12.0ms (26.6% of total)

ival-div: 4.0ms (8.9% of total)

ival-sqrt: 4.0ms (8.9% of total)

ival-add: 3.0ms (6.7% of total)

ival-true: 1.0ms (2.2% of total)

ival-assert: 1.0ms (2.2% of total)

const: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler: Compiled 52 to 18 computations (65.4% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	99.6%	(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 a1 a1)
✓	cost-diff	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	(cos.f64 th)
✓	cost-diff	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	(fma.f64 a2 a2 (*.f64 a1 a1))
✓	cost-diff	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	(cos.f64 th)
✓	cost-diff	(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))

Rules

29×	`fma-define`
25×	`*-commutative`
8×	`associate-/l*`
8×	`associate-*r/`
8×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	300
1	37	300
2	64	300
3	98	300
4	128	300
5	145	300
6	149	300

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(cos.f64 th)
th
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a2 a2 (*.f64 a1 a1))
a2
(*.f64 a1 a1)
a1
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(cos.f64 th)
th
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2

Outputs
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(cos.f64 th)
th
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a2 a2 (*.f64 a1 a1))
a2
(*.f64 a1 a1)
a1
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(cos.f64 th)
th
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2

localize109.0ms (1.2%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	accuracy	98.9%	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.9%	(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	99.7%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))

Results

78.0ms

256×

valid

Compiler

Compiled 79 to 16 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 10.0ms (37.8% of total)

ival-cos: 6.0ms (22.7% of total)

ival-div: 3.0ms (11.4% of total)

ival-fma: 3.0ms (11.4% of total)

ival-sqrt: 2.0ms (7.6% of total)

ival-add: 1.0ms (3.8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

const: 0.0ms (0% of total)

series57.0ms (0.6%)

Counts

8 → 140

Calls

Call 1

Inputs
#<alt (.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (cos.f64 th)>
#<alt (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (fma.f64 a2 a2 (*.f64 a1 a1))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (*.f64 a1 a1)>
#<alt (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))>

Outputs
#<alt (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
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#<alt (+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>

Calls

39 calls:

Time	Variable		Point	Expression
37.0ms	th	@	inf	(* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))
2.0ms	a2	@	0	(* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))
2.0ms	th	@	inf	(/ (cos th) (sqrt 2))
1.0ms	th	@	0	(* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))
1.0ms	a1	@	0	(* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))

rewrite497.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

937×	`prod-diff`
808×	`log1p-expm1-u`
732×	`expm1-log1p-u`
117×	`add-cube-cbrt`
116×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	193
1	301	173
2	3735	173

Stop Event

1×	node limit

Counts

8 → 258

Calls

Call 1

Inputs
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(cos.f64 th)
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a2 a2 (*.f64 a1 a1))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 a1 a1)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Outputs
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(+.f64 (.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1 binary64)) (.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (cos.f64 th)) (.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (neg.f64 (cos.f64 th))) (.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (cos.f64 th)) (.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (neg.f64 (cos.f64 th))) (.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (.f64 (cos.f64 th) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (-.f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))) (-.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 a2 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 2 binary64)))
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(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(pow.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 a1 #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 a1 #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 a1 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 a1 #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 a1 #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 a1 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 a1 #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a1)))
(exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 a1)) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(+.f64 (.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1 binary64)) (.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (cos.f64 th)) (.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (neg.f64 (cos.f64 th))) (.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (cos.f64 th)) (.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (neg.f64 (cos.f64 th))) (.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (.f64 (cos.f64 th) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (-.f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))) (-.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 a2 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))

simplify334.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

445×	`associate-r`
430×	`times-frac`
429×	`associate-l`
379×	`cube-prod`
270×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	513	18303
1	1181	16825
2	5666	16817

Stop Event

1×	node limit

Counts

398 → 289

Calls

Call 1

Inputs
(/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
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(/.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (.f64 (cos.f64 th) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (-.f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))) (-.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 a2 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))

Outputs
(/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 th #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 th #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (/.f64 (.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 th #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/720 binary64)) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
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(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))) (-.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (.f64 (fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))) (-.f64 (.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))) (-.f64 (.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (cos.f64 th) #s(literal 2 binary64))) (.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64)))))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 3 binary64))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (*.f64 (hypot.f64 a2 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (log.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))

eval57.0ms (0.6%)

Compiler: Compiled 6666 to 1052 computations (84.2% saved)

prune54.0ms (0.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	341	10	351
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	342	11	353

Accuracy

100.0%

Counts

353 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
	99.5%	(.f64 (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	99.0%	(.f64 (/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	68.9%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	99.6%	(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
▶	99.6%	(.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	99.5%	(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
	99.6%	(.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
▶	78.3%	(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
	68.9%	(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 334 to 243 computations (27.2% saved)

simplify180.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	(sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64)))
	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
✓	cost-diff	0	(pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))
✓	cost-diff	0	(cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))))
	cost-diff	0	(*.f64 a1 a1)
	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))
✓	cost-diff	0	(*.f64 a2 a2)
	cost-diff	0	(*.f64 a1 a1)
	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(neg.f64 (cos.f64 th))
✓	cost-diff	64	(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	256	(*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))

Rules

1393×	`fma-define`
601×	`fmm-def`
482×	`unsub-neg`
405×	`times-frac`
345×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	811
1	96	789
2	297	773
3	1050	773
4	2332	773
5	4596	773
6	6277	773
7	6887	773
8	7200	773
9	7267	773
10	7278	773

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (cos.f64 th))
(cos.f64 th)
th
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
#s(literal 1 binary64)
(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(cos.f64 th)
th
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(.f64 (/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))))
(cos.f64 th)
th
(cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))
#s(literal 2 binary64)
#s(literal 3/2 binary64)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
(cos.f64 th)
th
(sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))
(pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))
(hypot.f64 a1 a2)
a1
a2
#s(literal 4 binary64)
#s(literal 2 binary64)

Outputs
(.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (neg.f64 (cos.f64 th)) (.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2))))
(.f64 (neg.f64 (cos.f64 th)) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (cos.f64 th))
(cos.f64 th)
th
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1 binary64)
(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (cos.f64 th) (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(cos.f64 th)
th
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(.f64 (/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))))
(/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))))
(cos.f64 th)
th
(cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))
#s(literal 2 binary64)
#s(literal 3/2 binary64)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
(cos.f64 th)
th
(sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))
(pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))
(hypot.f64 a1 a2)
a1
a2
#s(literal 4 binary64)
#s(literal 2 binary64)

localize226.0ms (2.5%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))
	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.9%	(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
✓	accuracy	78.3%	(sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64)))
	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.6%	(.f64 (/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	accuracy	98.9%	(/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))))
✓	accuracy	98.4%	(cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
	accuracy	100.0%	(*.f64 a1 a1)
	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.7%	(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))
✓	accuracy	99.6%	(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	accuracy	100.0%	(*.f64 a1 a1)
	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.6%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.7%	(*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
✓	accuracy	99.6%	(.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))

Results

170.0ms

256×

valid

Compiler

Compiled 229 to 34 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 16.0ms (25.7% of total)

ival-pow: 15.0ms (24.1% of total)

ival-div: 7.0ms (11.3% of total)

ival-cos: 7.0ms (11.3% of total)

ival-hypot: 5.0ms (8% of total)

ival-sqrt: 4.0ms (6.4% of total)

ival-add: 2.0ms (3.2% of total)

ival-cbrt: 2.0ms (3.2% of total)

ival-neg: 2.0ms (3.2% of total)

const: 1.0ms (1.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series47.0ms (0.5%)

Counts

17 → 276

Calls

Call 1

Inputs
#<alt (*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))>
#<alt (neg.f64 (cos.f64 th))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 a2 a2)>
#<alt (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))>
#<alt (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))>
#<alt (/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))))>
#<alt (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))>
#<alt (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))>
#<alt (*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))>
#<alt (.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))>
#<alt (.f64 (/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))>

Outputs
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/24 binary64))))) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 th))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 th))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 th))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 th))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 th))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 th))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 th))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 th))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))>
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#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (.f64 #s(literal 1/24 binary64) (.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))))))))>
#<alt (+.f64 (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))))) (.f64 #s(literal 1/24 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))))>
#<alt (.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (+.f64 (.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64))))) (.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64))))))>
#<alt (+.f64 (.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64))))) (.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64))))))>
#<alt (+.f64 (.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64))))) (.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64))))))>
#<alt (.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64))))) (.f64 (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64))))) (.f64 (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64))))) (.f64 (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64))))) (.f64 (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64))))) (.f64 (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64))))) (.f64 (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (+.f64 (.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64))))) (.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64))))))>
#<alt (+.f64 (.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64))))) (.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64))))))>
#<alt (+.f64 (.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64))))) (.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64))))))>
#<alt (.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64))))) (.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64))))) (.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64))))) (.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64))))) (.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64))))) (.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64))))) (.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 8 binary64)))))))>

Calls

69 calls:

Time	Variable		Point	Expression
5.0ms	a2	@	inf	(/ (pow (sqrt (+ (* a1 a1) (* a2 a2))) 4) 2)
2.0ms	th	@	inf	(/ (cos th) (cbrt (pow 2 3/2)))
1.0ms	a1	@	0	(* (/ (cos th) (cbrt (pow 2 3/2))) (+ (* a1 a1) (* a2 a2)))
1.0ms	th	@	0	(* (/ (cos th) (cbrt (pow 2 3/2))) (+ (* a1 a1) (* a2 a2)))
1.0ms	a2	@	0	(* (/ (cos th) (cbrt (pow 2 3/2))) (+ (* a1 a1) (* a2 a2)))

rewrite96.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

278×	`associate-r`
277×	`log1p-expm1-u`
277×	`expm1-log1p-u`
261×	`add-cube-cbrt`
259×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	444
1	635	444

Stop Event

1×	node limit

Counts

17 → 520

Calls

Call 1

Inputs
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (cos.f64 th))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 a2 a2)
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
(/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))))
(cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))
(.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Outputs
(+.f64 #s(literal -4 binary64) (cos.f64 th))
(+.f64 #s(literal 0 binary64) (cos.f64 th))
(-.f64 (cos.f64 th) #s(literal -4 binary64))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
(/.f64 #s(literal -4 binary64) (cos.f64 th))
(/.f64 (cos.f64 th) #s(literal -4 binary64))
(/.f64 (cos.f64 th) (cos.f64 th))
(/.f64 (cos.f64 th) (+.f64 #s(literal 0 binary64) (+.f64 (cos.f64 th) (*.f64 #s(literal 0 binary64) (cos.f64 th)))))
(/.f64 (+.f64 (cos.f64 (+.f64 th th)) (cos.f64 (-.f64 th th))) #s(literal -4 binary64))
(pow.f64 (cos.f64 th) #s(literal -4 binary64))
(neg.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (cos.f64 th))))
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(-.f64 a1 a2)
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(+.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th)))
(+.f64 (.f64 a2 (cos.f64 th)) (.f64 a1 (cos.f64 th)))
(+.f64 (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (cos.f64 th) a1)) (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (cos.f64 th) a2)))
(+.f64 (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 a1 (cos.f64 th))) (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 a2 (cos.f64 th))))
(+.f64 (.f64 (.f64 (cos.f64 th) a1) #s(literal -4 binary64)) (.f64 (.f64 (cos.f64 th) a2) #s(literal -4 binary64)))
(+.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) (+.f64 a2 a1))) (.f64 (.f64 (cos.f64 th) a2) (.f64 (cos.f64 th) (+.f64 a2 a1))))
(+.f64 (.f64 (.f64 a1 (cos.f64 th)) (.f64 (cos.f64 th) (+.f64 a2 a1))) (.f64 (.f64 a2 (cos.f64 th)) (.f64 (cos.f64 th) (+.f64 a2 a1))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))) #s(literal -4 binary64))
(/.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 a2 a1))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (-.f64 (+.f64 a2 a1) (.f64 a1 a2)))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)) #s(literal -4 binary64)))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 (.f64 (cos.f64 th) a1) (-.f64 (.f64 (cos.f64 th) a2) (.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2)))))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 (.f64 a1 (cos.f64 th)) (-.f64 (.f64 a2 (cos.f64 th)) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))))))
(/.f64 (+.f64 a2 a1) (cos.f64 th))
(/.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (-.f64 (+.f64 a2 a1) (.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (.f64 (-.f64 (+.f64 a2 a1) (.f64 a1 a2)) (cos.f64 th)))
(/.f64 (-.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2)))
(/.f64 (-.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))) (-.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64))
(neg.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a2 a1)) (cos.f64 th)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (+.f64 a2 a1))) #s(literal -4 binary64)))
(fma.f64 (cos.f64 th) a1 (*.f64 (cos.f64 th) a2))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(+.f64 a2 a1)
(+.f64 a1 a2)
(+.f64 a1 (neg.f64 a2))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(+.f64 (+.f64 a2 a1) (fma.f64 (neg.f64 a2) a2 a2))
(+.f64 (.f64 a1 #s(literal -4 binary64)) (.f64 a2 #s(literal -4 binary64)))
(+.f64 (.f64 a2 #s(literal -4 binary64)) (.f64 a1 #s(literal -4 binary64)))
(+.f64 (fma.f64 #s(literal -4 binary64) a1 (neg.f64 (.f64 a2 #s(literal -4 binary64)))) (fma.f64 (neg.f64 a2) #s(literal -4 binary64) (.f64 a2 #s(literal -4 binary64))))
(+.f64 (fma.f64 a1 a1 (neg.f64 (.f64 a2 #s(literal -4 binary64)))) (fma.f64 (neg.f64 a2) #s(literal -4 binary64) (.f64 a2 #s(literal -4 binary64))))
(+.f64 (.f64 (+.f64 a2 a1) (.f64 a1 #s(literal -4 binary64))) (.f64 (+.f64 a2 a1) (.f64 a2 #s(literal -4 binary64))))
(+.f64 (.f64 (+.f64 a2 a1) a2) (.f64 (+.f64 a2 a1) a1))
(+.f64 (.f64 (+.f64 a2 a1) a1) (.f64 (+.f64 a2 a1) a2))
(+.f64 (.f64 (.f64 a1 #s(literal -4 binary64)) (+.f64 a2 a1)) (.f64 (.f64 a2 #s(literal -4 binary64)) (+.f64 a2 a1)))
(+.f64 (.f64 a2 (+.f64 a2 a1)) (.f64 a1 (+.f64 a2 a1)))
(+.f64 (.f64 a1 (+.f64 a2 a1)) (.f64 a2 (+.f64 a2 a1)))
(-.f64 a1 a2)
(-.f64 #s(literal 0 binary64) (+.f64 a2 a1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a2 a1))) #s(literal -4 binary64))
(-.f64 (/.f64 a1 (+.f64 a2 a1)) (/.f64 a2 (+.f64 a2 a1)))
(/.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(/.f64 #s(literal -4 binary64) (/.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)) (+.f64 a2 a1)))
(/.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(/.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(/.f64 (+.f64 a2 a1) (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)))
(/.f64 (+.f64 a2 a1) (cbrt.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (.f64 (-.f64 (+.f64 a2 a1) (.f64 a1 a2)) (-.f64 (+.f64 a2 a1) (*.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (sqrt.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (.f64 (-.f64 (+.f64 a2 a1) (.f64 a1 a2)) #s(literal -4 binary64)))
(/.f64 (+.f64 a2 a1) (.f64 (+.f64 a2 a1) (-.f64 (+.f64 a2 a1) (.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (neg.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (+.f64 a2 a1) (+.f64 (.f64 a1 #s(literal -4 binary64)) (-.f64 (.f64 a2 #s(literal -4 binary64)) (.f64 (.f64 a1 #s(literal -4 binary64)) (*.f64 a2 #s(literal -4 binary64))))))
(/.f64 (+.f64 a2 a1) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
(/.f64 (-.f64 (.f64 a1 #s(literal -4 binary64)) (.f64 a2 #s(literal -4 binary64))) (-.f64 (.f64 a1 #s(literal -4 binary64)) (.f64 a2 #s(literal -4 binary64))))
(pow.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(neg.f64 (+.f64 a2 a1))
(sqrt.f64 (+.f64 a2 a1))
(fabs.f64 (+.f64 a2 a1))
(log.f64 (exp.f64 (+.f64 a2 a1)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (+.f64 a2 a1))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(log.f64 (/.f64 #s(literal -4 binary64) (exp.f64 (+.f64 a2 a1))))
(cbrt.f64 (+.f64 a2 a1))
(expm1.f64 (log1p.f64 (+.f64 a2 a1)))
(hypot.f64 a2 a1)
(hypot.f64 a1 a2)
(log1p.f64 (expm1.f64 (+.f64 a2 a1)))
(exp.f64 (log.f64 (+.f64 a2 a1)))
(fma.f64 #s(literal -4 binary64) a2 a1)
(fma.f64 #s(literal -4 binary64) a1 a2)
(fma.f64 #s(literal -4 binary64) a1 (neg.f64 a2))
(fma.f64 a2 a2 a1)
(fma.f64 a1 #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64)))
(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(+.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2))
(+.f64 (.f64 (cos.f64 th) a2) (.f64 (cos.f64 th) a1))
(+.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th)))
(+.f64 (.f64 a2 (cos.f64 th)) (.f64 a1 (cos.f64 th)))
(+.f64 (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (cos.f64 th) a1)) (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (cos.f64 th) a2)))
(+.f64 (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 a1 (cos.f64 th))) (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 a2 (cos.f64 th))))
(+.f64 (.f64 (.f64 (cos.f64 th) a1) #s(literal -4 binary64)) (.f64 (.f64 (cos.f64 th) a2) #s(literal -4 binary64)))
(+.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) (+.f64 a2 a1))) (.f64 (.f64 (cos.f64 th) a2) (.f64 (cos.f64 th) (+.f64 a2 a1))))
(+.f64 (.f64 (.f64 a1 (cos.f64 th)) (.f64 (cos.f64 th) (+.f64 a2 a1))) (.f64 (.f64 a2 (cos.f64 th)) (.f64 (cos.f64 th) (+.f64 a2 a1))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))) #s(literal -4 binary64))
(/.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 a2 a1))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (-.f64 (+.f64 a2 a1) (.f64 a1 a2)))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)) #s(literal -4 binary64)))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 (.f64 (cos.f64 th) a1) (-.f64 (.f64 (cos.f64 th) a2) (.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2)))))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 (.f64 a1 (cos.f64 th)) (-.f64 (.f64 a2 (cos.f64 th)) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))))))
(/.f64 (+.f64 a2 a1) (cos.f64 th))
(/.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (-.f64 (+.f64 a2 a1) (.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (.f64 (-.f64 (+.f64 a2 a1) (.f64 a1 a2)) (cos.f64 th)))
(/.f64 (-.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2)))
(/.f64 (-.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))) (-.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64))
(neg.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a2 a1)) (cos.f64 th)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (+.f64 a2 a1))) #s(literal -4 binary64)))
(fma.f64 (cos.f64 th) a1 (*.f64 (cos.f64 th) a2))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2))
(+.f64 (.f64 (cos.f64 th) a2) (.f64 (cos.f64 th) a1))
(+.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th)))
(+.f64 (.f64 a2 (cos.f64 th)) (.f64 a1 (cos.f64 th)))
(+.f64 (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (cos.f64 th) a1)) (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (cos.f64 th) a2)))
(+.f64 (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 a1 (cos.f64 th))) (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 a2 (cos.f64 th))))
(+.f64 (.f64 (.f64 (cos.f64 th) a1) #s(literal -4 binary64)) (.f64 (.f64 (cos.f64 th) a2) #s(literal -4 binary64)))
(+.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) (+.f64 a2 a1))) (.f64 (.f64 (cos.f64 th) a2) (.f64 (cos.f64 th) (+.f64 a2 a1))))
(+.f64 (.f64 (.f64 a1 (cos.f64 th)) (.f64 (cos.f64 th) (+.f64 a2 a1))) (.f64 (.f64 a2 (cos.f64 th)) (.f64 (cos.f64 th) (+.f64 a2 a1))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))) #s(literal -4 binary64))
(/.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 a2 a1))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (-.f64 (+.f64 a2 a1) (.f64 a1 a2)))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)) #s(literal -4 binary64)))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 (.f64 (cos.f64 th) a1) (-.f64 (.f64 (cos.f64 th) a2) (.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2)))))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 (.f64 a1 (cos.f64 th)) (-.f64 (.f64 a2 (cos.f64 th)) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))))))
(/.f64 (+.f64 a2 a1) (cos.f64 th))
(/.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (-.f64 (+.f64 a2 a1) (.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (.f64 (-.f64 (+.f64 a2 a1) (.f64 a1 a2)) (cos.f64 th)))
(/.f64 (-.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2)))
(/.f64 (-.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))) (-.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64))
(neg.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a2 a1)) (cos.f64 th)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (+.f64 a2 a1))) #s(literal -4 binary64)))
(fma.f64 (cos.f64 th) a1 (*.f64 (cos.f64 th) a2))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))

simplify360.0ms (4%)

Algorithm

1×	egg-herbie

Rules

512×	`associate-+l+`
486×	`associate-+r+`
393×	`fma-define`
351×	`times-frac`
342×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	479	25975
1	1353	24761
2	4477	23733

Stop Event

1×	node limit

Counts

796 → 415

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/24 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
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#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/6 binary64)
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#s(literal 1/3 binary64)
#s(literal 3/8 binary64)
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#s(literal 2/3 binary64)
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#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
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(-.f64 (cos.f64 th) #s(literal -4 binary64))
(-.f64 #s(literal 0 binary64) (cos.f64 th))
(*.f64 #s(literal -4 binary64) (cos.f64 th))
(*.f64 (cos.f64 th) #s(literal -4 binary64))
(*.f64 (cos.f64 th) (cos.f64 th))
(pow.f64 (cos.f64 th) #s(literal -4 binary64))
(neg.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) #s(literal -4 binary64)))
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/4 binary64)
#s(literal -1/8 binary64)
#s(literal 1/6 binary64)
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#s(literal 1/3 binary64)
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#s(literal 1 binary64)
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#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
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(+.f64 (.f64 (.f64 a1 (cos.f64 th)) (.f64 (cos.f64 th) (+.f64 a2 a1))) (.f64 (.f64 a2 (cos.f64 th)) (.f64 (cos.f64 th) (+.f64 a2 a1))))
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(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
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(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (+.f64 a2 a1))) #s(literal -4 binary64)))
(fma.f64 (cos.f64 th) a1 (*.f64 (cos.f64 th) a2))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
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(+.f64 a1 (*.f64 (neg.f64 a2) a2))
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(+.f64 (.f64 a2 (+.f64 a2 a1)) (.f64 a1 (+.f64 a2 a1)))
(+.f64 (.f64 a1 (+.f64 a2 a1)) (.f64 a2 (+.f64 a2 a1)))
(-.f64 a1 a2)
(-.f64 #s(literal 0 binary64) (+.f64 a2 a1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a2 a1))) #s(literal -4 binary64))
(-.f64 (/.f64 a1 (+.f64 a2 a1)) (/.f64 a2 (+.f64 a2 a1)))
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(*.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(.f64 (+.f64 a2 a1) (/.f64 #s(literal -4 binary64) (-.f64 (+.f64 a2 a1) (.f64 a1 a2))))
(.f64 (-.f64 (+.f64 a2 a1) (.f64 a1 a2)) (+.f64 a2 a1))
(/.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(/.f64 #s(literal -4 binary64) (/.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)) (+.f64 a2 a1)))
(/.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(/.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(/.f64 (+.f64 a2 a1) (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)))
(/.f64 (+.f64 a2 a1) (cbrt.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2))))
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(/.f64 (+.f64 a2 a1) (sqrt.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2))))
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(/.f64 (+.f64 a2 a1) (.f64 (+.f64 a2 a1) (-.f64 (+.f64 a2 a1) (.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (neg.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
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(/.f64 (+.f64 a2 a1) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
(/.f64 (-.f64 (.f64 a1 #s(literal -4 binary64)) (.f64 a2 #s(literal -4 binary64))) (-.f64 (.f64 a1 #s(literal -4 binary64)) (.f64 a2 #s(literal -4 binary64))))
(pow.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(neg.f64 (+.f64 a2 a1))
(fabs.f64 (+.f64 a2 a1))
(log.f64 (exp.f64 (+.f64 a2 a1)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (+.f64 a2 a1))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(log.f64 (/.f64 #s(literal -4 binary64) (exp.f64 (+.f64 a2 a1))))
(cbrt.f64 (+.f64 a2 a1))
(expm1.f64 (log1p.f64 (+.f64 a2 a1)))
(hypot.f64 a2 a1)
(hypot.f64 a1 a2)
(log1p.f64 (expm1.f64 (+.f64 a2 a1)))
(exp.f64 (log.f64 (+.f64 a2 a1)))
(fma.f64 #s(literal -4 binary64) a2 a1)
(fma.f64 #s(literal -4 binary64) a1 a2)
(fma.f64 #s(literal -4 binary64) a1 (neg.f64 a2))
(fma.f64 a2 a2 a1)
(fma.f64 a1 #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64)))
(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(+.f64 a2 a1)
(+.f64 a1 a2)
(+.f64 a1 (neg.f64 a2))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(+.f64 (+.f64 a2 a1) (fma.f64 (neg.f64 a2) a2 a2))
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(+.f64 (.f64 a2 #s(literal -4 binary64)) (.f64 a1 #s(literal -4 binary64)))
(+.f64 (fma.f64 #s(literal -4 binary64) a1 (neg.f64 (.f64 a2 #s(literal -4 binary64)))) (fma.f64 (neg.f64 a2) #s(literal -4 binary64) (.f64 a2 #s(literal -4 binary64))))
(+.f64 (fma.f64 a1 a1 (neg.f64 (.f64 a2 #s(literal -4 binary64)))) (fma.f64 (neg.f64 a2) #s(literal -4 binary64) (.f64 a2 #s(literal -4 binary64))))
(+.f64 (.f64 (+.f64 a2 a1) (.f64 a1 #s(literal -4 binary64))) (.f64 (+.f64 a2 a1) (.f64 a2 #s(literal -4 binary64))))
(+.f64 (.f64 (+.f64 a2 a1) a2) (.f64 (+.f64 a2 a1) a1))
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(-.f64 a1 a2)
(-.f64 #s(literal 0 binary64) (+.f64 a2 a1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a2 a1))) #s(literal -4 binary64))
(-.f64 (/.f64 a1 (+.f64 a2 a1)) (/.f64 a2 (+.f64 a2 a1)))
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(*.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(.f64 (+.f64 a2 a1) (/.f64 #s(literal -4 binary64) (-.f64 (+.f64 a2 a1) (.f64 a1 a2))))
(.f64 (-.f64 (+.f64 a2 a1) (.f64 a1 a2)) (+.f64 a2 a1))
(pow.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(neg.f64 (+.f64 a2 a1))
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(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (+.f64 a2 a1))))
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(log1p.f64 (expm1.f64 (+.f64 a2 a1)))
(exp.f64 (log.f64 (+.f64 a2 a1)))
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(fma.f64 a1 #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64)))
(fma.f64 a1 a1 a2)
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(+.f64 (.f64 (+.f64 a2 a1) a2) (.f64 (+.f64 a2 a1) a1))
(+.f64 (.f64 (+.f64 a2 a1) a1) (.f64 (+.f64 a2 a1) a2))
(+.f64 (.f64 (.f64 a1 #s(literal -4 binary64)) (+.f64 a2 a1)) (.f64 (.f64 a2 #s(literal -4 binary64)) (+.f64 a2 a1)))
(+.f64 (.f64 a2 (+.f64 a2 a1)) (.f64 a1 (+.f64 a2 a1)))
(+.f64 (.f64 a1 (+.f64 a2 a1)) (.f64 a2 (+.f64 a2 a1)))
(-.f64 a1 a2)
(-.f64 #s(literal 0 binary64) (+.f64 a2 a1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a2 a1))) #s(literal -4 binary64))
(-.f64 (/.f64 a1 (+.f64 a2 a1)) (/.f64 a2 (+.f64 a2 a1)))
(/.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(/.f64 #s(literal -4 binary64) (/.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)) (+.f64 a2 a1)))
(/.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(/.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(/.f64 (+.f64 a2 a1) (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)))
(/.f64 (+.f64 a2 a1) (cbrt.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (.f64 (-.f64 (+.f64 a2 a1) (.f64 a1 a2)) (-.f64 (+.f64 a2 a1) (*.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (sqrt.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (.f64 (-.f64 (+.f64 a2 a1) (.f64 a1 a2)) #s(literal -4 binary64)))
(/.f64 (+.f64 a2 a1) (.f64 (+.f64 a2 a1) (-.f64 (+.f64 a2 a1) (.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (neg.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (+.f64 a2 a1) (+.f64 (.f64 a1 #s(literal -4 binary64)) (-.f64 (.f64 a2 #s(literal -4 binary64)) (.f64 (.f64 a1 #s(literal -4 binary64)) (*.f64 a2 #s(literal -4 binary64))))))
(/.f64 (+.f64 a2 a1) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
(/.f64 (-.f64 (.f64 a1 #s(literal -4 binary64)) (.f64 a2 #s(literal -4 binary64))) (-.f64 (.f64 a1 #s(literal -4 binary64)) (.f64 a2 #s(literal -4 binary64))))
(pow.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(neg.f64 (+.f64 a2 a1))
(sqrt.f64 (+.f64 a2 a1))
(fabs.f64 (+.f64 a2 a1))
(log.f64 (exp.f64 (+.f64 a2 a1)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (+.f64 a2 a1))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(log.f64 (/.f64 #s(literal -4 binary64) (exp.f64 (+.f64 a2 a1))))
(cbrt.f64 (+.f64 a2 a1))
(expm1.f64 (log1p.f64 (+.f64 a2 a1)))
(hypot.f64 a2 a1)
(hypot.f64 a1 a2)
(log1p.f64 (expm1.f64 (+.f64 a2 a1)))
(exp.f64 (log.f64 (+.f64 a2 a1)))
(fma.f64 #s(literal -4 binary64) a2 a1)
(fma.f64 #s(literal -4 binary64) a1 a2)
(fma.f64 #s(literal -4 binary64) a1 (neg.f64 a2))
(fma.f64 a2 a2 a1)
(fma.f64 a1 #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64)))
(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(+.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2))
(+.f64 (.f64 (cos.f64 th) a2) (.f64 (cos.f64 th) a1))
(+.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th)))
(+.f64 (.f64 a2 (cos.f64 th)) (.f64 a1 (cos.f64 th)))
(+.f64 (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (cos.f64 th) a1)) (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (cos.f64 th) a2)))
(+.f64 (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 a1 (cos.f64 th))) (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 a2 (cos.f64 th))))
(+.f64 (.f64 (.f64 (cos.f64 th) a1) #s(literal -4 binary64)) (.f64 (.f64 (cos.f64 th) a2) #s(literal -4 binary64)))
(+.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) (+.f64 a2 a1))) (.f64 (.f64 (cos.f64 th) a2) (.f64 (cos.f64 th) (+.f64 a2 a1))))
(+.f64 (.f64 (.f64 a1 (cos.f64 th)) (.f64 (cos.f64 th) (+.f64 a2 a1))) (.f64 (.f64 a2 (cos.f64 th)) (.f64 (cos.f64 th) (+.f64 a2 a1))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))) #s(literal -4 binary64))
(/.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 a2 a1))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (-.f64 (+.f64 a2 a1) (.f64 a1 a2)))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)) #s(literal -4 binary64)))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 (.f64 (cos.f64 th) a1) (-.f64 (.f64 (cos.f64 th) a2) (.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2)))))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 (.f64 a1 (cos.f64 th)) (-.f64 (.f64 a2 (cos.f64 th)) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))))))
(/.f64 (+.f64 a2 a1) (cos.f64 th))
(/.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (-.f64 (+.f64 a2 a1) (.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (.f64 (-.f64 (+.f64 a2 a1) (.f64 a1 a2)) (cos.f64 th)))
(/.f64 (-.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2)))
(/.f64 (-.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))) (-.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64))
(neg.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a2 a1)) (cos.f64 th)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (+.f64 a2 a1))) #s(literal -4 binary64)))
(fma.f64 (cos.f64 th) a1 (*.f64 (cos.f64 th) a2))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2))
(+.f64 (.f64 (cos.f64 th) a2) (.f64 (cos.f64 th) a1))
(+.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th)))
(+.f64 (.f64 a2 (cos.f64 th)) (.f64 a1 (cos.f64 th)))
(+.f64 (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (cos.f64 th) a1)) (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (cos.f64 th) a2)))
(+.f64 (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 a1 (cos.f64 th))) (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 a2 (cos.f64 th))))
(+.f64 (.f64 (.f64 (cos.f64 th) a1) #s(literal -4 binary64)) (.f64 (.f64 (cos.f64 th) a2) #s(literal -4 binary64)))
(+.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) (+.f64 a2 a1))) (.f64 (.f64 (cos.f64 th) a2) (.f64 (cos.f64 th) (+.f64 a2 a1))))
(+.f64 (.f64 (.f64 a1 (cos.f64 th)) (.f64 (cos.f64 th) (+.f64 a2 a1))) (.f64 (.f64 a2 (cos.f64 th)) (.f64 (cos.f64 th) (+.f64 a2 a1))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))) #s(literal -4 binary64))
(/.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 a2 a1))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (-.f64 (+.f64 a2 a1) (.f64 a1 a2)))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)) #s(literal -4 binary64)))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 (.f64 (cos.f64 th) a1) (-.f64 (.f64 (cos.f64 th) a2) (.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2)))))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 (.f64 a1 (cos.f64 th)) (-.f64 (.f64 a2 (cos.f64 th)) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))))))
(/.f64 (+.f64 a2 a1) (cos.f64 th))
(/.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (-.f64 (+.f64 a2 a1) (.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (.f64 (-.f64 (+.f64 a2 a1) (.f64 a1 a2)) (cos.f64 th)))
(/.f64 (-.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2)))
(/.f64 (-.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))) (-.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64))
(neg.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a2 a1)) (cos.f64 th)))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (+.f64 a2 a1))) #s(literal -4 binary64)))
(fma.f64 (cos.f64 th) a1 (*.f64 (cos.f64 th) a2))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))

Outputs
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (/.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 th #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))
(-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/24 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/24 binary64))))) #s(literal 1 binary64))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 th #s(literal 2 binary64)) #s(literal -1/24 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(neg.f64 (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(neg.f64 (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(neg.f64 (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(neg.f64 (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(neg.f64 (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(neg.f64 (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(neg.f64 (cos.f64 th))
(*.f64 #s(literal -1 binary64) (cos.f64 th))
(neg.f64 (cos.f64 th))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/24 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
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a2
(exp.f64 (log.f64 a2))
a2
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(.f64 (cos.f64 th) (.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
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(.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (-.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))))
(.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (-.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (.f64 a2 a1))))))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 a2 a1) (-.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (*.f64 a2 a1)))))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 (.f64 a1 (cos.f64 th)) (-.f64 (.f64 a2 (cos.f64 th)) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))))))
(.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (-.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))))
(.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (-.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (.f64 a2 a1))))))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 a2 a1) (-.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (*.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) (cos.f64 th))
(/.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 #s(literal 1 binary64) (cos.f64 th))
(/.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (-.f64 (+.f64 a2 a1) (.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (+.f64 a2 (-.f64 a1 (.f64 a2 a1)))))
(/.f64 (/.f64 (+.f64 a2 a1) (cos.f64 th)) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (+.f64 a2 a1) (.f64 (-.f64 (+.f64 a2 a1) (.f64 a1 a2)) (cos.f64 th)))
(/.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (+.f64 a2 (-.f64 a1 (.f64 a2 a1)))))
(/.f64 (/.f64 (+.f64 a2 a1) (cos.f64 th)) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (-.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2)))
#s(literal 1 binary64)
(/.f64 (-.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))) (-.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))))
#s(literal 1 binary64)
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64))
(neg.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(*.f64 (cos.f64 th) (-.f64 (neg.f64 a2) a1))
(*.f64 (cos.f64 th) (-.f64 (neg.f64 a1) a2))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a2 a1)) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (+.f64 a2 a1))) #s(literal -4 binary64)))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64))
(fma.f64 (cos.f64 th) a1 (*.f64 (cos.f64 th) a2))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(+.f64 a2 a1)
(+.f64 a1 a2)
(+.f64 a2 a1)
(+.f64 a1 (neg.f64 a2))
(-.f64 a1 a2)
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(+.f64 a1 (neg.f64 (pow.f64 a2 #s(literal 2 binary64))))
(-.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (+.f64 a2 a1) (fma.f64 (neg.f64 a2) a2 a2))
(+.f64 a2 (+.f64 (-.f64 a1 (pow.f64 a2 #s(literal 2 binary64))) a2))
(+.f64 a2 (-.f64 (+.f64 a2 a1) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (.f64 a1 #s(literal -4 binary64)) (.f64 a2 #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(+.f64 (.f64 a2 #s(literal -4 binary64)) (.f64 a1 #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(+.f64 (fma.f64 #s(literal -4 binary64) a1 (neg.f64 (.f64 a2 #s(literal -4 binary64)))) (fma.f64 (neg.f64 a2) #s(literal -4 binary64) (.f64 a2 #s(literal -4 binary64))))
(+.f64 (+.f64 (.f64 a2 #s(literal 4 binary64)) (.f64 a2 #s(literal -4 binary64))) (*.f64 #s(literal -4 binary64) (-.f64 a1 a2)))
(fma.f64 #s(literal -4 binary64) (-.f64 a1 a2) (*.f64 a2 #s(literal 0 binary64)))
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
(+.f64 (fma.f64 a1 a1 (neg.f64 (.f64 a2 #s(literal -4 binary64)))) (fma.f64 (neg.f64 a2) #s(literal -4 binary64) (.f64 a2 #s(literal -4 binary64))))
(+.f64 (+.f64 (.f64 a2 #s(literal 4 binary64)) (.f64 a2 #s(literal -4 binary64))) (fma.f64 a1 a1 (*.f64 a2 #s(literal 4 binary64))))
(+.f64 (.f64 a2 #s(literal 0 binary64)) (fma.f64 a1 a1 (.f64 a2 #s(literal 4 binary64))))
(fma.f64 a1 a1 (*.f64 a2 #s(literal 4 binary64)))
(+.f64 (.f64 (+.f64 a2 a1) (.f64 a1 #s(literal -4 binary64))) (.f64 (+.f64 a2 a1) (.f64 a2 #s(literal -4 binary64))))
(.f64 (+.f64 a2 a1) (.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(.f64 #s(literal -4 binary64) (.f64 (+.f64 a2 a1) (+.f64 a2 a1)))
(.f64 #s(literal -4 binary64) (exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (+.f64 a2 a1)))))
(+.f64 (.f64 (+.f64 a2 a1) a2) (.f64 (+.f64 a2 a1) a1))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a2 a1))))
(+.f64 (.f64 (+.f64 a2 a1) a1) (.f64 (+.f64 a2 a1) a2))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a2 a1))))
(+.f64 (.f64 (.f64 a1 #s(literal -4 binary64)) (+.f64 a2 a1)) (.f64 (.f64 a2 #s(literal -4 binary64)) (+.f64 a2 a1)))
(.f64 (+.f64 a2 a1) (.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(.f64 #s(literal -4 binary64) (.f64 (+.f64 a2 a1) (+.f64 a2 a1)))
(.f64 #s(literal -4 binary64) (exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (+.f64 a2 a1)))))
(+.f64 (.f64 a2 (+.f64 a2 a1)) (.f64 a1 (+.f64 a2 a1)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a2 a1))))
(+.f64 (.f64 a1 (+.f64 a2 a1)) (.f64 a2 (+.f64 a2 a1)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a2 a1))))
(-.f64 a1 a2)
(-.f64 #s(literal 0 binary64) (+.f64 a2 a1))
(-.f64 (neg.f64 a2) a1)
(-.f64 (neg.f64 a1) a2)
(-.f64 (exp.f64 (log1p.f64 (+.f64 a2 a1))) #s(literal -4 binary64))
(+.f64 (exp.f64 (log1p.f64 (+.f64 a2 a1))) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 a2 a1)))
(+.f64 (+.f64 a2 #s(literal 5 binary64)) a1)
(-.f64 (/.f64 a1 (+.f64 a2 a1)) (/.f64 a2 (+.f64 a2 a1)))
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(*.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a2 a1))))
(.f64 (+.f64 a2 a1) (/.f64 #s(literal -4 binary64) (-.f64 (+.f64 a2 a1) (.f64 a1 a2))))
(/.f64 #s(literal -4 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a2 a1) (+.f64 a2 a1))))
(/.f64 #s(literal -4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a2 (/.f64 a1 (+.f64 a2 a1)))))
(.f64 (-.f64 (+.f64 a2 a1) (.f64 a1 a2)) (+.f64 a2 a1))
(.f64 (+.f64 a2 a1) (+.f64 a2 (-.f64 a1 (.f64 a2 a1))))
(/.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(/.f64 #s(literal -4 binary64) (/.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)) (+.f64 a2 a1)))
(/.f64 #s(literal -4 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a2 a1) (+.f64 a2 a1))))
(/.f64 #s(literal -4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a2 (/.f64 a1 (+.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(/.f64 (+.f64 a2 a1) (+.f64 a2 a1))
#s(literal 1 binary64)
(/.f64 (+.f64 a2 a1) (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)))
(/.f64 (+.f64 a2 a1) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (+.f64 a2 a1) (cbrt.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (cbrt.f64 (+.f64 a2 (-.f64 a1 (*.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) (.f64 (-.f64 (+.f64 a2 a1) (.f64 a1 a2)) (-.f64 (+.f64 a2 a1) (*.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (.f64 (+.f64 a2 (-.f64 a1 (.f64 a2 a1))) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) (sqrt.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (sqrt.f64 (+.f64 a2 (-.f64 a1 (*.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) (.f64 (-.f64 (+.f64 a2 a1) (.f64 a1 a2)) #s(literal -4 binary64)))
(/.f64 (+.f64 a2 a1) (.f64 #s(literal -4 binary64) (+.f64 a2 (-.f64 a1 (.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) (.f64 (+.f64 a2 a1) (-.f64 (+.f64 a2 a1) (.f64 a1 a2))))
(/.f64 #s(literal 1 binary64) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (+.f64 a2 a1) (neg.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2))))
(neg.f64 (/.f64 (+.f64 a2 a1) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) (-.f64 (neg.f64 a2) (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (+.f64 a2 a1) (-.f64 (*.f64 a2 a1) (+.f64 a2 a1)))
(/.f64 (+.f64 a2 a1) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (+.f64 a2 a1) (+.f64 (.f64 a1 #s(literal -4 binary64)) (-.f64 (.f64 a2 #s(literal -4 binary64)) (.f64 (.f64 a1 #s(literal -4 binary64)) (*.f64 a2 #s(literal -4 binary64))))))
(/.f64 (+.f64 a2 a1) (-.f64 (.f64 #s(literal -4 binary64) (+.f64 a2 a1)) (.f64 a1 (.f64 #s(literal -4 binary64) (.f64 a2 #s(literal -4 binary64))))))
(/.f64 (+.f64 a2 a1) (fma.f64 a1 #s(literal -4 binary64) (.f64 (+.f64 (.f64 a1 #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 a2 #s(literal -4 binary64)))))
(/.f64 (+.f64 a2 a1) (fma.f64 #s(literal -4 binary64) (+.f64 a2 a1) (.f64 a1 (.f64 #s(literal -16 binary64) a2))))
(/.f64 (+.f64 a2 a1) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (+.f64 a1 (*.f64 (+.f64 a1 #s(literal 1 binary64)) a2)))
(/.f64 (+.f64 a2 a1) (fma.f64 (+.f64 #s(literal 1 binary64) a1) a2 a1))
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
#s(literal 1 binary64)
(/.f64 (-.f64 (.f64 a1 #s(literal -4 binary64)) (.f64 a2 #s(literal -4 binary64))) (-.f64 (.f64 a1 #s(literal -4 binary64)) (.f64 a2 #s(literal -4 binary64))))
#s(literal 1 binary64)
(pow.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(neg.f64 (+.f64 a2 a1))
(-.f64 (neg.f64 a2) a1)
(-.f64 (neg.f64 a1) a2)
(fabs.f64 (+.f64 a2 a1))
(log.f64 (exp.f64 (+.f64 a2 a1)))
(+.f64 a2 a1)
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (+.f64 a2 a1))))
(log.f64 (fma.f64 (exp.f64 a2) (exp.f64 a1) #s(literal -5 binary64)))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(-.f64 a1 a2)
(log.f64 (/.f64 #s(literal -4 binary64) (exp.f64 (+.f64 a2 a1))))
(cbrt.f64 (+.f64 a2 a1))
(expm1.f64 (log1p.f64 (+.f64 a2 a1)))
(+.f64 (+.f64 a2 a1) #s(literal 0 binary64))
(hypot.f64 a2 a1)
(hypot.f64 a1 a2)
(hypot.f64 a2 a1)
(log1p.f64 (expm1.f64 (+.f64 a2 a1)))
(+.f64 a2 a1)
(exp.f64 (log.f64 (+.f64 a2 a1)))
(+.f64 a2 a1)
(fma.f64 #s(literal -4 binary64) a2 a1)
(fma.f64 a2 #s(literal -4 binary64) a1)
(fma.f64 #s(literal -4 binary64) a1 a2)
(fma.f64 a1 #s(literal -4 binary64) a2)
(fma.f64 #s(literal -4 binary64) a1 (neg.f64 a2))
(-.f64 (*.f64 a1 #s(literal -4 binary64)) a2)
(fma.f64 a2 a2 a1)
(fma.f64 a1 #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(-.f64 (pow.f64 a1 #s(literal 2 binary64)) a2)
(+.f64 a2 a1)
(+.f64 a1 a2)
(+.f64 a2 a1)
(+.f64 a1 (neg.f64 a2))
(-.f64 a1 a2)
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(+.f64 a1 (neg.f64 (pow.f64 a2 #s(literal 2 binary64))))
(-.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (+.f64 a2 a1) (fma.f64 (neg.f64 a2) a2 a2))
(+.f64 a2 (+.f64 (-.f64 a1 (pow.f64 a2 #s(literal 2 binary64))) a2))
(+.f64 a2 (-.f64 (+.f64 a2 a1) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (.f64 a1 #s(literal -4 binary64)) (.f64 a2 #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(+.f64 (.f64 a2 #s(literal -4 binary64)) (.f64 a1 #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(+.f64 (fma.f64 #s(literal -4 binary64) a1 (neg.f64 (.f64 a2 #s(literal -4 binary64)))) (fma.f64 (neg.f64 a2) #s(literal -4 binary64) (.f64 a2 #s(literal -4 binary64))))
(+.f64 (+.f64 (.f64 a2 #s(literal 4 binary64)) (.f64 a2 #s(literal -4 binary64))) (*.f64 #s(literal -4 binary64) (-.f64 a1 a2)))
(fma.f64 #s(literal -4 binary64) (-.f64 a1 a2) (*.f64 a2 #s(literal 0 binary64)))
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
(+.f64 (fma.f64 a1 a1 (neg.f64 (.f64 a2 #s(literal -4 binary64)))) (fma.f64 (neg.f64 a2) #s(literal -4 binary64) (.f64 a2 #s(literal -4 binary64))))
(+.f64 (+.f64 (.f64 a2 #s(literal 4 binary64)) (.f64 a2 #s(literal -4 binary64))) (fma.f64 a1 a1 (*.f64 a2 #s(literal 4 binary64))))
(+.f64 (.f64 a2 #s(literal 0 binary64)) (fma.f64 a1 a1 (.f64 a2 #s(literal 4 binary64))))
(fma.f64 a1 a1 (*.f64 a2 #s(literal 4 binary64)))
(+.f64 (.f64 (+.f64 a2 a1) (.f64 a1 #s(literal -4 binary64))) (.f64 (+.f64 a2 a1) (.f64 a2 #s(literal -4 binary64))))
(.f64 (+.f64 a2 a1) (.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(.f64 #s(literal -4 binary64) (.f64 (+.f64 a2 a1) (+.f64 a2 a1)))
(.f64 #s(literal -4 binary64) (exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (+.f64 a2 a1)))))
(+.f64 (.f64 (+.f64 a2 a1) a2) (.f64 (+.f64 a2 a1) a1))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a2 a1))))
(+.f64 (.f64 (+.f64 a2 a1) a1) (.f64 (+.f64 a2 a1) a2))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a2 a1))))
(+.f64 (.f64 (.f64 a1 #s(literal -4 binary64)) (+.f64 a2 a1)) (.f64 (.f64 a2 #s(literal -4 binary64)) (+.f64 a2 a1)))
(.f64 (+.f64 a2 a1) (.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(.f64 #s(literal -4 binary64) (.f64 (+.f64 a2 a1) (+.f64 a2 a1)))
(.f64 #s(literal -4 binary64) (exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (+.f64 a2 a1)))))
(+.f64 (.f64 a2 (+.f64 a2 a1)) (.f64 a1 (+.f64 a2 a1)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a2 a1))))
(+.f64 (.f64 a1 (+.f64 a2 a1)) (.f64 a2 (+.f64 a2 a1)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a2 a1))))
(-.f64 a1 a2)
(-.f64 #s(literal 0 binary64) (+.f64 a2 a1))
(-.f64 (neg.f64 a2) a1)
(-.f64 (neg.f64 a1) a2)
(-.f64 (exp.f64 (log1p.f64 (+.f64 a2 a1))) #s(literal -4 binary64))
(+.f64 (exp.f64 (log1p.f64 (+.f64 a2 a1))) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 a2 a1)))
(+.f64 (+.f64 a2 #s(literal 5 binary64)) a1)
(-.f64 (/.f64 a1 (+.f64 a2 a1)) (/.f64 a2 (+.f64 a2 a1)))
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(*.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a2 a1))))
(.f64 (+.f64 a2 a1) (/.f64 #s(literal -4 binary64) (-.f64 (+.f64 a2 a1) (.f64 a1 a2))))
(/.f64 #s(literal -4 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a2 a1) (+.f64 a2 a1))))
(/.f64 #s(literal -4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a2 (/.f64 a1 (+.f64 a2 a1)))))
(.f64 (-.f64 (+.f64 a2 a1) (.f64 a1 a2)) (+.f64 a2 a1))
(.f64 (+.f64 a2 a1) (+.f64 a2 (-.f64 a1 (.f64 a2 a1))))
(pow.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(neg.f64 (+.f64 a2 a1))
(-.f64 (neg.f64 a2) a1)
(-.f64 (neg.f64 a1) a2)
(sqrt.f64 (+.f64 a2 a1))
(fabs.f64 (+.f64 a2 a1))
(log.f64 (exp.f64 (+.f64 a2 a1)))
(+.f64 a2 a1)
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (+.f64 a2 a1))))
(log.f64 (fma.f64 (exp.f64 a2) (exp.f64 a1) #s(literal -5 binary64)))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(-.f64 a1 a2)
(log.f64 (/.f64 #s(literal -4 binary64) (exp.f64 (+.f64 a2 a1))))
(cbrt.f64 (+.f64 a2 a1))
(expm1.f64 (log1p.f64 (+.f64 a2 a1)))
(+.f64 (+.f64 a2 a1) #s(literal 0 binary64))
(hypot.f64 a2 a1)
(hypot.f64 a1 a2)
(hypot.f64 a2 a1)
(log1p.f64 (expm1.f64 (+.f64 a2 a1)))
(+.f64 a2 a1)
(exp.f64 (log.f64 (+.f64 a2 a1)))
(+.f64 a2 a1)
(fma.f64 #s(literal -4 binary64) a2 a1)
(fma.f64 a2 #s(literal -4 binary64) a1)
(fma.f64 #s(literal -4 binary64) a1 a2)
(fma.f64 a1 #s(literal -4 binary64) a2)
(fma.f64 #s(literal -4 binary64) a1 (neg.f64 a2))
(-.f64 (*.f64 a1 #s(literal -4 binary64)) a2)
(fma.f64 a2 a2 a1)
(fma.f64 a1 #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(-.f64 (pow.f64 a1 #s(literal 2 binary64)) a2)
(+.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(+.f64 (.f64 (cos.f64 th) a2) (.f64 (cos.f64 th) a1))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(+.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(+.f64 (.f64 a2 (cos.f64 th)) (.f64 a1 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(+.f64 (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (cos.f64 th) a1)) (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (cos.f64 th) a2)))
(.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(.f64 (cos.f64 th) (.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)))))
(+.f64 (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 a1 (cos.f64 th))) (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 a2 (cos.f64 th))))
(.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(.f64 (cos.f64 th) (.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)))))
(+.f64 (.f64 (.f64 (cos.f64 th) a1) #s(literal -4 binary64)) (.f64 (.f64 (cos.f64 th) a2) #s(literal -4 binary64)))
(.f64 #s(literal -4 binary64) (.f64 (cos.f64 th) (+.f64 a2 a1)))
(.f64 (cos.f64 th) (.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(+.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) (+.f64 a2 a1))) (.f64 (.f64 (cos.f64 th) a2) (.f64 (cos.f64 th) (+.f64 a2 a1))))
(.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(.f64 (cos.f64 th) (.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)))))
(+.f64 (.f64 (.f64 a1 (cos.f64 th)) (.f64 (cos.f64 th) (+.f64 a2 a1))) (.f64 (.f64 a2 (cos.f64 th)) (.f64 (cos.f64 th) (+.f64 a2 a1))))
(.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(.f64 (cos.f64 th) (.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))) #s(literal -4 binary64))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(+.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal 5 binary64))
(/.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) #s(literal -4 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 a2 a1))
(cos.f64 th)
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (-.f64 (+.f64 a2 a1) (.f64 a1 a2)))
(.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (+.f64 a2 (-.f64 a1 (.f64 a2 a1)))))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 a2 (-.f64 a1 (.f64 a2 a1))))
(.f64 (+.f64 a2 a1) (/.f64 (cos.f64 th) (+.f64 a2 (-.f64 a1 (.f64 a2 a1)))))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)) #s(literal -4 binary64)))
(.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (.f64 #s(literal -4 binary64) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 (.f64 (cos.f64 th) a1) (-.f64 (.f64 (cos.f64 th) a2) (.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2)))))
(.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (-.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))))
(.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (-.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (.f64 a2 a1))))))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 a2 a1) (-.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (*.f64 a2 a1)))))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 (.f64 a1 (cos.f64 th)) (-.f64 (.f64 a2 (cos.f64 th)) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))))))
(.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (-.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))))
(.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (-.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (.f64 a2 a1))))))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 a2 a1) (-.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (*.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) (cos.f64 th))
(/.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 #s(literal 1 binary64) (cos.f64 th))
(/.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (-.f64 (+.f64 a2 a1) (.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (+.f64 a2 (-.f64 a1 (.f64 a2 a1)))))
(/.f64 (/.f64 (+.f64 a2 a1) (cos.f64 th)) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (+.f64 a2 a1) (.f64 (-.f64 (+.f64 a2 a1) (.f64 a1 a2)) (cos.f64 th)))
(/.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (+.f64 a2 (-.f64 a1 (.f64 a2 a1)))))
(/.f64 (/.f64 (+.f64 a2 a1) (cos.f64 th)) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (-.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2)))
#s(literal 1 binary64)
(/.f64 (-.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))) (-.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))))
#s(literal 1 binary64)
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64))
(neg.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(*.f64 (cos.f64 th) (-.f64 (neg.f64 a2) a1))
(*.f64 (cos.f64 th) (-.f64 (neg.f64 a1) a2))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a2 a1)) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (+.f64 a2 a1))) #s(literal -4 binary64)))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64))
(fma.f64 (cos.f64 th) a1 (*.f64 (cos.f64 th) a2))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(+.f64 a2 a1)
(+.f64 a1 a2)
(+.f64 a2 a1)
(+.f64 a1 (neg.f64 a2))
(-.f64 a1 a2)
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(+.f64 a1 (neg.f64 (pow.f64 a2 #s(literal 2 binary64))))
(-.f64 a1 (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (+.f64 a2 a1) (fma.f64 (neg.f64 a2) a2 a2))
(+.f64 a2 (+.f64 (-.f64 a1 (pow.f64 a2 #s(literal 2 binary64))) a2))
(+.f64 a2 (-.f64 (+.f64 a2 a1) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (.f64 a1 #s(literal -4 binary64)) (.f64 a2 #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(+.f64 (.f64 a2 #s(literal -4 binary64)) (.f64 a1 #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(+.f64 (fma.f64 #s(literal -4 binary64) a1 (neg.f64 (.f64 a2 #s(literal -4 binary64)))) (fma.f64 (neg.f64 a2) #s(literal -4 binary64) (.f64 a2 #s(literal -4 binary64))))
(+.f64 (+.f64 (.f64 a2 #s(literal 4 binary64)) (.f64 a2 #s(literal -4 binary64))) (*.f64 #s(literal -4 binary64) (-.f64 a1 a2)))
(fma.f64 #s(literal -4 binary64) (-.f64 a1 a2) (*.f64 a2 #s(literal 0 binary64)))
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
(+.f64 (fma.f64 a1 a1 (neg.f64 (.f64 a2 #s(literal -4 binary64)))) (fma.f64 (neg.f64 a2) #s(literal -4 binary64) (.f64 a2 #s(literal -4 binary64))))
(+.f64 (+.f64 (.f64 a2 #s(literal 4 binary64)) (.f64 a2 #s(literal -4 binary64))) (fma.f64 a1 a1 (*.f64 a2 #s(literal 4 binary64))))
(+.f64 (.f64 a2 #s(literal 0 binary64)) (fma.f64 a1 a1 (.f64 a2 #s(literal 4 binary64))))
(fma.f64 a1 a1 (*.f64 a2 #s(literal 4 binary64)))
(+.f64 (.f64 (+.f64 a2 a1) (.f64 a1 #s(literal -4 binary64))) (.f64 (+.f64 a2 a1) (.f64 a2 #s(literal -4 binary64))))
(.f64 (+.f64 a2 a1) (.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(.f64 #s(literal -4 binary64) (.f64 (+.f64 a2 a1) (+.f64 a2 a1)))
(.f64 #s(literal -4 binary64) (exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (+.f64 a2 a1)))))
(+.f64 (.f64 (+.f64 a2 a1) a2) (.f64 (+.f64 a2 a1) a1))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a2 a1))))
(+.f64 (.f64 (+.f64 a2 a1) a1) (.f64 (+.f64 a2 a1) a2))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a2 a1))))
(+.f64 (.f64 (.f64 a1 #s(literal -4 binary64)) (+.f64 a2 a1)) (.f64 (.f64 a2 #s(literal -4 binary64)) (+.f64 a2 a1)))
(.f64 (+.f64 a2 a1) (.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(.f64 #s(literal -4 binary64) (.f64 (+.f64 a2 a1) (+.f64 a2 a1)))
(.f64 #s(literal -4 binary64) (exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (+.f64 a2 a1)))))
(+.f64 (.f64 a2 (+.f64 a2 a1)) (.f64 a1 (+.f64 a2 a1)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a2 a1))))
(+.f64 (.f64 a1 (+.f64 a2 a1)) (.f64 a2 (+.f64 a2 a1)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a2 a1))))
(-.f64 a1 a2)
(-.f64 #s(literal 0 binary64) (+.f64 a2 a1))
(-.f64 (neg.f64 a2) a1)
(-.f64 (neg.f64 a1) a2)
(-.f64 (exp.f64 (log1p.f64 (+.f64 a2 a1))) #s(literal -4 binary64))
(+.f64 (exp.f64 (log1p.f64 (+.f64 a2 a1))) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 a2 a1)))
(+.f64 (+.f64 a2 #s(literal 5 binary64)) a1)
(-.f64 (/.f64 a1 (+.f64 a2 a1)) (/.f64 a2 (+.f64 a2 a1)))
(/.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(/.f64 #s(literal -4 binary64) (/.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)) (+.f64 a2 a1)))
(/.f64 #s(literal -4 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a2 a1) (+.f64 a2 a1))))
(/.f64 #s(literal -4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a2 (/.f64 a1 (+.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(/.f64 (+.f64 a2 a1) (+.f64 a2 a1))
#s(literal 1 binary64)
(/.f64 (+.f64 a2 a1) (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)))
(/.f64 (+.f64 a2 a1) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (+.f64 a2 a1) (cbrt.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (cbrt.f64 (+.f64 a2 (-.f64 a1 (*.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) (.f64 (-.f64 (+.f64 a2 a1) (.f64 a1 a2)) (-.f64 (+.f64 a2 a1) (*.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (.f64 (+.f64 a2 (-.f64 a1 (.f64 a2 a1))) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) (sqrt.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (sqrt.f64 (+.f64 a2 (-.f64 a1 (*.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) (.f64 (-.f64 (+.f64 a2 a1) (.f64 a1 a2)) #s(literal -4 binary64)))
(/.f64 (+.f64 a2 a1) (.f64 #s(literal -4 binary64) (+.f64 a2 (-.f64 a1 (.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) (.f64 (+.f64 a2 a1) (-.f64 (+.f64 a2 a1) (.f64 a1 a2))))
(/.f64 #s(literal 1 binary64) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (+.f64 a2 a1) (neg.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2))))
(neg.f64 (/.f64 (+.f64 a2 a1) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) (-.f64 (neg.f64 a2) (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (+.f64 a2 a1) (-.f64 (*.f64 a2 a1) (+.f64 a2 a1)))
(/.f64 (+.f64 a2 a1) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (+.f64 a2 a1) (+.f64 (.f64 a1 #s(literal -4 binary64)) (-.f64 (.f64 a2 #s(literal -4 binary64)) (.f64 (.f64 a1 #s(literal -4 binary64)) (*.f64 a2 #s(literal -4 binary64))))))
(/.f64 (+.f64 a2 a1) (-.f64 (.f64 #s(literal -4 binary64) (+.f64 a2 a1)) (.f64 a1 (.f64 #s(literal -4 binary64) (.f64 a2 #s(literal -4 binary64))))))
(/.f64 (+.f64 a2 a1) (fma.f64 a1 #s(literal -4 binary64) (.f64 (+.f64 (.f64 a1 #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 a2 #s(literal -4 binary64)))))
(/.f64 (+.f64 a2 a1) (fma.f64 #s(literal -4 binary64) (+.f64 a2 a1) (.f64 a1 (.f64 #s(literal -16 binary64) a2))))
(/.f64 (+.f64 a2 a1) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (+.f64 a1 (*.f64 (+.f64 a1 #s(literal 1 binary64)) a2)))
(/.f64 (+.f64 a2 a1) (fma.f64 (+.f64 #s(literal 1 binary64) a1) a2 a1))
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
#s(literal 1 binary64)
(/.f64 (-.f64 (.f64 a1 #s(literal -4 binary64)) (.f64 a2 #s(literal -4 binary64))) (-.f64 (.f64 a1 #s(literal -4 binary64)) (.f64 a2 #s(literal -4 binary64))))
#s(literal 1 binary64)
(pow.f64 (+.f64 a2 a1) #s(literal -4 binary64))
(neg.f64 (+.f64 a2 a1))
(-.f64 (neg.f64 a2) a1)
(-.f64 (neg.f64 a1) a2)
(sqrt.f64 (+.f64 a2 a1))
(fabs.f64 (+.f64 a2 a1))
(log.f64 (exp.f64 (+.f64 a2 a1)))
(+.f64 a2 a1)
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (+.f64 a2 a1))))
(log.f64 (fma.f64 (exp.f64 a2) (exp.f64 a1) #s(literal -5 binary64)))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(-.f64 a1 a2)
(log.f64 (/.f64 #s(literal -4 binary64) (exp.f64 (+.f64 a2 a1))))
(cbrt.f64 (+.f64 a2 a1))
(expm1.f64 (log1p.f64 (+.f64 a2 a1)))
(+.f64 (+.f64 a2 a1) #s(literal 0 binary64))
(hypot.f64 a2 a1)
(hypot.f64 a1 a2)
(hypot.f64 a2 a1)
(log1p.f64 (expm1.f64 (+.f64 a2 a1)))
(+.f64 a2 a1)
(exp.f64 (log.f64 (+.f64 a2 a1)))
(+.f64 a2 a1)
(fma.f64 #s(literal -4 binary64) a2 a1)
(fma.f64 a2 #s(literal -4 binary64) a1)
(fma.f64 #s(literal -4 binary64) a1 a2)
(fma.f64 a1 #s(literal -4 binary64) a2)
(fma.f64 #s(literal -4 binary64) a1 (neg.f64 a2))
(-.f64 (*.f64 a1 #s(literal -4 binary64)) a2)
(fma.f64 a2 a2 a1)
(fma.f64 a1 #s(literal -4 binary64) (*.f64 a2 #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (+.f64 a2 a1))
(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(-.f64 (pow.f64 a1 #s(literal 2 binary64)) a2)
(+.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(+.f64 (.f64 (cos.f64 th) a2) (.f64 (cos.f64 th) a1))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(+.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(+.f64 (.f64 a2 (cos.f64 th)) (.f64 a1 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(+.f64 (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (cos.f64 th) a1)) (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (cos.f64 th) a2)))
(.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(.f64 (cos.f64 th) (.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)))))
(+.f64 (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 a1 (cos.f64 th))) (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 a2 (cos.f64 th))))
(.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(.f64 (cos.f64 th) (.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)))))
(+.f64 (.f64 (.f64 (cos.f64 th) a1) #s(literal -4 binary64)) (.f64 (.f64 (cos.f64 th) a2) #s(literal -4 binary64)))
(.f64 #s(literal -4 binary64) (.f64 (cos.f64 th) (+.f64 a2 a1)))
(.f64 (cos.f64 th) (.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(+.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) (+.f64 a2 a1))) (.f64 (.f64 (cos.f64 th) a2) (.f64 (cos.f64 th) (+.f64 a2 a1))))
(.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(.f64 (cos.f64 th) (.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)))))
(+.f64 (.f64 (.f64 a1 (cos.f64 th)) (.f64 (cos.f64 th) (+.f64 a2 a1))) (.f64 (.f64 a2 (cos.f64 th)) (.f64 (cos.f64 th) (+.f64 a2 a1))))
(.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(.f64 (cos.f64 th) (.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))) #s(literal -4 binary64))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(+.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal 5 binary64))
(/.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) #s(literal -4 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 a2 a1))
(cos.f64 th)
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (-.f64 (+.f64 a2 a1) (.f64 a1 a2)))
(.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (+.f64 a2 (-.f64 a1 (.f64 a2 a1)))))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 a2 (-.f64 a1 (.f64 a2 a1))))
(.f64 (+.f64 a2 a1) (/.f64 (cos.f64 th) (+.f64 a2 (-.f64 a1 (.f64 a2 a1)))))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)) #s(literal -4 binary64)))
(.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (.f64 #s(literal -4 binary64) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 (.f64 (cos.f64 th) a1) (-.f64 (.f64 (cos.f64 th) a2) (.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2)))))
(.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (-.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))))
(.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (-.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (.f64 a2 a1))))))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 a2 a1) (-.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (*.f64 a2 a1)))))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 (.f64 a1 (cos.f64 th)) (-.f64 (.f64 a2 (cos.f64 th)) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))))))
(.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (-.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))))
(.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (-.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (.f64 a2 a1))))))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 a2 a1) (-.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (*.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) (cos.f64 th))
(/.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 #s(literal 1 binary64) (cos.f64 th))
(/.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (-.f64 (+.f64 a2 a1) (.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (+.f64 a2 (-.f64 a1 (.f64 a2 a1)))))
(/.f64 (/.f64 (+.f64 a2 a1) (cos.f64 th)) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (+.f64 a2 a1) (.f64 (-.f64 (+.f64 a2 a1) (.f64 a1 a2)) (cos.f64 th)))
(/.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (+.f64 a2 (-.f64 a1 (.f64 a2 a1)))))
(/.f64 (/.f64 (+.f64 a2 a1) (cos.f64 th)) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (-.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2)))
#s(literal 1 binary64)
(/.f64 (-.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))) (-.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))))
#s(literal 1 binary64)
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64))
(neg.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(*.f64 (cos.f64 th) (-.f64 (neg.f64 a2) a1))
(*.f64 (cos.f64 th) (-.f64 (neg.f64 a1) a2))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a2 a1)) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (+.f64 a2 a1))) #s(literal -4 binary64)))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64))
(fma.f64 (cos.f64 th) a1 (*.f64 (cos.f64 th) a2))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(+.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(+.f64 (.f64 (cos.f64 th) a2) (.f64 (cos.f64 th) a1))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(+.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(+.f64 (.f64 a2 (cos.f64 th)) (.f64 a1 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(+.f64 (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (cos.f64 th) a1)) (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (cos.f64 th) a2)))
(.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(.f64 (cos.f64 th) (.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)))))
(+.f64 (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 a1 (cos.f64 th))) (.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 a2 (cos.f64 th))))
(.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(.f64 (cos.f64 th) (.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)))))
(+.f64 (.f64 (.f64 (cos.f64 th) a1) #s(literal -4 binary64)) (.f64 (.f64 (cos.f64 th) a2) #s(literal -4 binary64)))
(.f64 #s(literal -4 binary64) (.f64 (cos.f64 th) (+.f64 a2 a1)))
(.f64 (cos.f64 th) (.f64 #s(literal -4 binary64) (+.f64 a2 a1)))
(+.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) (+.f64 a2 a1))) (.f64 (.f64 (cos.f64 th) a2) (.f64 (cos.f64 th) (+.f64 a2 a1))))
(.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(.f64 (cos.f64 th) (.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)))))
(+.f64 (.f64 (.f64 a1 (cos.f64 th)) (.f64 (cos.f64 th) (+.f64 a2 a1))) (.f64 (.f64 a2 (cos.f64 th)) (.f64 (cos.f64 th) (+.f64 a2 a1))))
(.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(.f64 (cos.f64 th) (.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))) #s(literal -4 binary64))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(+.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal 5 binary64))
(/.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) #s(literal -4 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 a2 a1))
(cos.f64 th)
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (-.f64 (+.f64 a2 a1) (.f64 a1 a2)))
(.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (+.f64 a2 (-.f64 a1 (.f64 a2 a1)))))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 a2 (-.f64 a1 (.f64 a2 a1))))
(.f64 (+.f64 a2 a1) (/.f64 (cos.f64 th) (+.f64 a2 (-.f64 a1 (.f64 a2 a1)))))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)) #s(literal -4 binary64)))
(.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (.f64 #s(literal -4 binary64) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 (.f64 (cos.f64 th) a1) (-.f64 (.f64 (cos.f64 th) a2) (.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2)))))
(.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (-.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))))
(.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (-.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (.f64 a2 a1))))))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 a2 a1) (-.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (*.f64 a2 a1)))))
(/.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 (.f64 a1 (cos.f64 th)) (-.f64 (.f64 a2 (cos.f64 th)) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))))))
(.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (-.f64 (.f64 (cos.f64 th) (+.f64 a2 a1)) (.f64 (.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))))
(.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (-.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (.f64 a2 a1))))))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 a2 a1) (-.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (*.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) (cos.f64 th))
(/.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(/.f64 #s(literal 1 binary64) (cos.f64 th))
(/.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (-.f64 (+.f64 a2 a1) (.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (+.f64 a2 (-.f64 a1 (.f64 a2 a1)))))
(/.f64 (/.f64 (+.f64 a2 a1) (cos.f64 th)) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (+.f64 a2 a1) (.f64 (-.f64 (+.f64 a2 a1) (.f64 a1 a2)) (cos.f64 th)))
(/.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (+.f64 a2 (-.f64 a1 (.f64 a2 a1)))))
(/.f64 (/.f64 (+.f64 a2 a1) (cos.f64 th)) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (-.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2)) (-.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2)))
#s(literal 1 binary64)
(/.f64 (-.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))) (-.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))))
#s(literal 1 binary64)
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64))
(neg.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(*.f64 (cos.f64 th) (-.f64 (neg.f64 a2) a1))
(*.f64 (cos.f64 th) (-.f64 (neg.f64 a1) a2))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a2 a1)) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(log.f64 (+.f64 #s(literal -4 binary64) (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (+.f64 a2 a1))) #s(literal -4 binary64)))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) #s(literal -4 binary64))
(fma.f64 (cos.f64 th) a1 (*.f64 (cos.f64 th) a2))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))

eval95.0ms (1%)

Compiler: Compiled 11821 to 1782 computations (84.9% saved)

prune188.0ms (2.1%)

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	658	14	672
Fresh	3	2	5
Picked	2	3	5
Done	0	1	1
Total	663	20	683

Accuracy

100.0%

Counts

683 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.6%	(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
	7.4%	(/.f64 (+.f64 a2 a1) (cos.f64 th))
	4.3%	(/.f64 #s(literal 1 binary64) (cos.f64 th))
	99.5%	(.f64 (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	99.0%	(.f64 (/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	68.9%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	99.6%	(.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
▶	59.9%	(.f64 (.f64 (neg.f64 (cos.f64 th)) #s(literal -1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
▶	99.6%	(.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	68.8%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	99.5%	(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
	59.8%	(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	7.0%	(*.f64 (cos.f64 th) (+.f64 a2 a1))
	1.5%	(.f64 (cos.f64 th) (+.f64 a1 (.f64 (neg.f64 a2) a2)))
▶	99.1%	(.f64 (cos.f64 th) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
	43.2%	(.f64 (cos.f64 th) (.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)) (+.f64 a2 a1)))
▶	7.4%	(.f64 (cos.f64 th) (.f64 #s(literal -4 binary64) (-.f64 a1 a2)))
	78.0%	(.f64 (cos.f64 th) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
▶	48.0%	(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Compiler

Compiled 473 to 332 computations (29.8% saved)

simplify382.0ms (4.2%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 a2 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(.f64 (cos.f64 th) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
	cost-diff	0	(*.f64 a1 a1)
	cost-diff	0	(cos.f64 th)
	cost-diff	0	(neg.f64 (cos.f64 th))
✓	cost-diff	64	(*.f64 (neg.f64 (cos.f64 th)) #s(literal -1/2 binary64))
✓	cost-diff	0	(-.f64 a1 a2)
✓	cost-diff	0	(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(.f64 (cos.f64 th) (.f64 #s(literal -4 binary64) (-.f64 a1 a2)))
✓	cost-diff	-12608	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	cost-diff	-12480	(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	cost-diff	-6336	(*.f64 a2 a2)
	cost-diff	0	(*.f64 a1 a1)
	cost-diff	0	(*.f64 a1 a1)
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))

Rules

1011×	`fma-define`
746×	`fmm-def`
380×	`distribute-lft-in`
375×	`unsub-neg`
297×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	534
1	84	526
2	246	526
3	785	526
4	1531	526
5	2371	526
6	3143	526
7	3740	526
8	4614	526
9	4920	526
10	4963	526
11	5508	526
12	5885	526
13	6055	526
14	6059	526
15	6059	526
16	6059	526
17	6059	526
18	6059	526
19	6064	526

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(cos.f64 th)
th
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
#s(literal 1 binary64)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(.f64 (cos.f64 th) (.f64 #s(literal -4 binary64) (-.f64 a1 a2)))
(cos.f64 th)
th
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
#s(literal -4 binary64)
(-.f64 a1 a2)
a1
a2
(.f64 (.f64 (neg.f64 (cos.f64 th)) #s(literal -1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(*.f64 (neg.f64 (cos.f64 th)) #s(literal -1/2 binary64))
(neg.f64 (cos.f64 th))
(cos.f64 th)
th
#s(literal -1/2 binary64)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(.f64 (cos.f64 th) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(cos.f64 th)
th
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 a2 #s(literal 2 binary64))
a2
#s(literal 2 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

Outputs
(.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(cos.f64 th)
th
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
(pow.f64 a2 #s(literal 2 binary64))
a2
(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
#s(literal 1 binary64)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
(pow.f64 a2 #s(literal 2 binary64))
a2
(.f64 (cos.f64 th) (.f64 #s(literal -4 binary64) (-.f64 a1 a2)))
(.f64 (-.f64 a1 a2) (.f64 (cos.f64 th) #s(literal -4 binary64)))
(cos.f64 th)
th
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
#s(literal -4 binary64)
(-.f64 a1 a2)
a1
a2
(.f64 (.f64 (neg.f64 (cos.f64 th)) #s(literal -1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (neg.f64 (.f64 (cos.f64 th) #s(literal -1/2 binary64))))
(.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) (.f64 (cos.f64 th) #s(literal 1/2 binary64)))
(.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (neg.f64 (cos.f64 th)) #s(literal -1/2 binary64))
(neg.f64 (*.f64 (cos.f64 th) #s(literal -1/2 binary64)))
(*.f64 (cos.f64 th) #s(literal 1/2 binary64))
(neg.f64 (cos.f64 th))
(cos.f64 th)
th
#s(literal -1/2 binary64)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
(pow.f64 a2 #s(literal 2 binary64))
a2
(.f64 (cos.f64 th) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(cos.f64 th)
th
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 a2 #s(literal 2 binary64))
a2
#s(literal 2 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

localize159.0ms (1.8%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.9%	(.f64 (cos.f64 th) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
✓	accuracy	99.6%	(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
	accuracy	100.0%	(*.f64 a1 a1)
	accuracy	100.0%	(neg.f64 (cos.f64 th))
	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.8%	(.f64 (.f64 (neg.f64 (cos.f64 th)) #s(literal -1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	accuracy	100.0%	(-.f64 a1 a2)
✓	accuracy	100.0%	(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.5%	(.f64 (cos.f64 th) (.f64 #s(literal -4 binary64) (-.f64 a1 a2)))
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
	accuracy	100.0%	(*.f64 a2 a2)
	accuracy	100.0%	(*.f64 a1 a1)
✓	accuracy	100.0%	(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.7%	(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
✓	accuracy	99.6%	(.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))

Results

121.0ms

256×

valid

Compiler

Compiled 154 to 27 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 19.0ms (52.6% of total)

ival-cos: 7.0ms (19.4% of total)

ival-pow: 3.0ms (8.3% of total)

ival-sqrt: 2.0ms (5.5% of total)

ival-add: 1.0ms (2.8% of total)

ival-sub: 1.0ms (2.8% of total)

const: 1.0ms (2.8% of total)

ival-neg: 1.0ms (2.8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series27.0ms (0.3%)

Counts

13 → 241

Calls

Call 1

Inputs
#<alt (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (+.f64 (.f64 a1 a1) (.f64 a2 a2))>
#<alt (.f64 (cos.f64 th) (.f64 #s(literal -4 binary64) (-.f64 a1 a2)))>
#<alt (*.f64 #s(literal -4 binary64) (-.f64 a1 a2))>
#<alt (-.f64 a1 a2)>
#<alt (*.f64 (neg.f64 (cos.f64 th)) #s(literal -1/2 binary64))>
#<alt (.f64 (cos.f64 th) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))>
#<alt (.f64 (.f64 (neg.f64 (cos.f64 th)) #s(literal -1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))>

Outputs
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -4 binary64) (-.f64 a1 a2))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (-.f64 a1 a2)) (.f64 #s(literal 2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 a1 a2))))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (-.f64 a1 a2)) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 a1 a2))) (*.f64 #s(literal 2 binary64) (-.f64 a1 a2)))))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (-.f64 a1 a2)) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (-.f64 a1 a2)) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (-.f64 a1 a2)) (.f64 #s(literal 1/180 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 a1 a2))))))))>
#<alt (.f64 #s(literal -4 binary64) (.f64 (cos.f64 th) (-.f64 a1 a2)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 (cos.f64 th) (-.f64 a1 a2)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 (cos.f64 th) (-.f64 a1 a2)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 (cos.f64 th) (-.f64 a1 a2)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 (cos.f64 th) (-.f64 a1 a2)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 (cos.f64 th) (-.f64 a1 a2)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 (cos.f64 th) (-.f64 a1 a2)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 (cos.f64 th) (-.f64 a1 a2)))>
#<alt (.f64 #s(literal 4 binary64) (.f64 a2 (cos.f64 th)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 a1 (cos.f64 th))) (.f64 #s(literal 4 binary64) (.f64 a2 (cos.f64 th))))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 a1 (cos.f64 th))) (.f64 #s(literal 4 binary64) (.f64 a2 (cos.f64 th))))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 a1 (cos.f64 th))) (.f64 #s(literal 4 binary64) (.f64 a2 (cos.f64 th))))>
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#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 #s(literal 1/48 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))>

Calls

69 calls:

Time	Variable		Point	Expression
4.0ms	th	@	0	(* (cos th) (* (pow a2 2) (sqrt 1/2)))
1.0ms	a2	@	0	(* (cos th) (* (pow a2 2) (sqrt 1/2)))
1.0ms	th	@	inf	(* (cos th) (* -4 (- a1 a2)))
1.0ms	th	@	0	(* (* (neg (cos th)) -1/2) (+ (* a1 a1) (* a2 a2)))
1.0ms	a1	@	inf	(* (cos th) (* -4 (- a1 a2)))

rewrite204.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1133×	`log1p-expm1-u`
348×	`expm1-log1p-u`
242×	`associate-r`
193×	`add-cube-cbrt`
190×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	310
1	453	282
2	6006	282

Stop Event

1×	node limit

Counts

13 → 301

Calls

Call 1

Inputs
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(.f64 (cos.f64 th) (.f64 #s(literal -4 binary64) (-.f64 a1 a2)))
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
(-.f64 a1 a2)
(*.f64 (neg.f64 (cos.f64 th)) #s(literal -1/2 binary64))
(.f64 (cos.f64 th) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 a2 #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (.f64 (neg.f64 (cos.f64 th)) #s(literal -1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(cbrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (cos.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (-.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 a2 a2 (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 a1 #s(literal 4 binary64))) (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
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(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 6 binary64))))
(cbrt.f64 (.f64 (pow.f64 a2 #s(literal 6 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 a2 #s(literal 2 binary64)))
(*.f64 a2 a2)
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (.f64 (cbrt.f64 a2) a2))
(*.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 a2) (.f64 (sqrt.f64 a2) a2))
(.f64 (.f64 a2 (sqrt.f64 a2)) (sqrt.f64 a2))
(.f64 (.f64 a2 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64))) (cbrt.f64 a2))
(sqrt.f64 (pow.f64 a2 #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 a2 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 a2 #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 a2 #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 a2 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 a2 #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a2)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 a2)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(+.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))) (-.f64 (.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))) (.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))))) (-.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(/.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(pow.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(literal 1/2 binary64))) (.f64 (cos.f64 th) (.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))
(+.f64 (.f64 (cos.f64 th) (.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (cos.f64 th) (.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 th) (.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(literal 1/2 binary64))) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(literal 1/2 binary64)))) (-.f64 (.f64 (.f64 (cos.f64 th) (.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))))) (.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(literal 1/2 binary64))) (.f64 (cos.f64 th) (*.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(literal 1/2 binary64))) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(literal 1/2 binary64)))) (.f64 (.f64 (cos.f64 th) (.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))) (-.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(literal 1/2 binary64))) (.f64 (cos.f64 th) (.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))))))
(/.f64 (.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (.f64 (cos.f64 th) #s(literal 1/2 binary64))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (.f64 (cos.f64 th) #s(literal 1/2 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(pow.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(neg.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (*.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))
(fma.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (*.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))

simplify348.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

520×	`fma-define`
383×	`*-commutative`
281×	`distribute-lft-neg-in`
274×	`fmm-def`
257×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	767	20196
1	1902	19080
2	5486	19038

Stop Event

1×	node limit

Counts

542 → 470

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
(pow.f64 a2 #s(literal 2 binary64))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 a1 #s(literal 2 binary64))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(pow.f64 a1 #s(literal 2 binary64))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(pow.f64 a1 #s(literal 2 binary64))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 a2 #s(literal 2 binary64))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(pow.f64 a2 #s(literal 2 binary64))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(pow.f64 a2 #s(literal 2 binary64))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
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a1
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a1
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 a2 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 6 binary64))))
(cbrt.f64 (.f64 (pow.f64 a2 #s(literal 6 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 a2 #s(literal 2 binary64)))
(*.f64 a2 a2)
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (.f64 (cbrt.f64 a2) a2))
(*.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 a2) (.f64 (sqrt.f64 a2) a2))
(.f64 (.f64 a2 (sqrt.f64 a2)) (sqrt.f64 a2))
(.f64 (.f64 a2 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64))) (cbrt.f64 a2))
(sqrt.f64 (pow.f64 a2 #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 a2 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 a2 #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 a2 #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 a2 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 a2 #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a2)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 a2)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(+.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))) (-.f64 (.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))) (.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))))) (-.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(/.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(pow.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(+.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(literal 1/2 binary64))) (.f64 (cos.f64 th) (.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))
(+.f64 (.f64 (cos.f64 th) (.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (cos.f64 th) (.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 th) (.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(literal 1/2 binary64))) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(literal 1/2 binary64)))) (-.f64 (.f64 (.f64 (cos.f64 th) (.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))))) (.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(literal 1/2 binary64))) (.f64 (cos.f64 th) (*.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(literal 1/2 binary64))) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(literal 1/2 binary64)))) (.f64 (.f64 (cos.f64 th) (.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))) (-.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(literal 1/2 binary64))) (.f64 (cos.f64 th) (.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))))))
(/.f64 (.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (.f64 (cos.f64 th) #s(literal 1/2 binary64))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (.f64 (cos.f64 th) #s(literal 1/2 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(pow.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(neg.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (*.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))
(fma.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (*.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))

Outputs
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 th #s(literal 2 binary64)))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 th #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 th #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/24 binary64)))))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 a2 #s(literal 2 binary64))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 a2 a2 (pow.f64 a1 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 a2 a2 (pow.f64 a1 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 a2 a2 (pow.f64 a1 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
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(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64))) (pow.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (cos.f64 th))) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (cos.f64 th))) (.f64 (cos.f64 th) (-.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64))))) (.f64 (pow.f64 a1 #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (.f64 (pow.f64 a2 #s(literal 6 binary64)) #s(literal -1/8 binary64)) (.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (.f64 (pow.f64 a1 #s(literal 6 binary64)) #s(literal 1/8 binary64)))) (fma.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (cos.f64 th))) (.f64 (cos.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (pow.f64 a1 #s(literal 2 binary64))))) (.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 a1 #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(literal 1/2 binary64))) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(literal 1/2 binary64)))) (.f64 (.f64 (cos.f64 th) (.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))) (-.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(literal 1/2 binary64))) (.f64 (cos.f64 th) (.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 (cos.f64 th) (*.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))))))
(/.f64 (.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (.f64 (cos.f64 th) #s(literal 1/2 binary64))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))
(.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (.f64 (cos.f64 th) #s(literal 1/2 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(pow.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(.f64 (cos.f64 th) (.f64 #s(literal -1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(.f64 (cos.f64 th) (.f64 #s(literal -1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)))
(pow.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 (cos.f64 th) (.f64 #s(literal -1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)))
(pow.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 a2 a2 (pow.f64 a1 #s(literal 2 binary64))) (cos.f64 th)))
(.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 th)))
(neg.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 a2 a2 (pow.f64 a1 #s(literal 2 binary64))) (cos.f64 th)))
(.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 th)))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 #s(literal -1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(fabs.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th))))
(.f64 #s(literal 1/2 binary64) (fabs.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(.f64 (cos.f64 th) (.f64 #s(literal -1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(.f64 (cos.f64 th) (.f64 #s(literal -1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(.f64 (cos.f64 th) (.f64 #s(literal -1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(cbrt.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 6 binary64)) (.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(cbrt.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 6 binary64)) (.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 #s(literal -1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(.f64 (cos.f64 th) (.f64 #s(literal -1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)))
(exp.f64 (log.f64 (.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(.f64 (cos.f64 th) (.f64 #s(literal -1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(.f64 (cos.f64 th) (.f64 #s(literal -1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (cos.f64 th)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (*.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 (cos.f64 th) (*.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))
(fma.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (*.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 (cos.f64 th) (*.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))

eval87.0ms (1%)

Compiler: Compiled 11453 to 1957 computations (82.9% saved)

prune206.0ms (2.3%)

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	712	9	721
Fresh	0	11	11
Picked	3	2	5
Done	1	3	4
Total	716	25	741

Accuracy

100.0%

Counts

741 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.0%	(pow.f64 a2 #s(literal 2 binary64))
	11.7%	(pow.f64 a1 #s(literal 2 binary64))
	68.6%	(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
▶	7.4%	(/.f64 (+.f64 a2 a1) (cos.f64 th))
	4.3%	(/.f64 #s(literal 1 binary64) (cos.f64 th))
▶	99.5%	(.f64 (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	68.9%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	99.6%	(.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	99.6%	(.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
▶	59.9%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	68.8%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	99.5%	(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
	99.0%	(.f64 (cos.f64 th) (pow.f64 (.f64 a2 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
	59.8%	(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	7.0%	(*.f64 (cos.f64 th) (+.f64 a2 a1))
	1.5%	(.f64 (cos.f64 th) (+.f64 a1 (.f64 (neg.f64 a2) a2)))
	43.2%	(.f64 (cos.f64 th) (.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)) (+.f64 a2 a1)))
	99.1%	(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64))))
	7.4%	(.f64 (cos.f64 th) (.f64 a2 #s(literal 4 binary64)))
	78.0%	(.f64 (cos.f64 th) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
✓	48.0%	(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	8.4%	(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) a2))
	48.2%	(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	5.8%	(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))

Compiler

Compiled 531 to 378 computations (28.8% saved)

simplify149.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
	cost-diff	-6336	(*.f64 a2 a2)
	cost-diff	0	(*.f64 a1 a1)
	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 th))
	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(+.f64 a2 a1)
✓	cost-diff	0	(/.f64 (+.f64 a2 a1) (cos.f64 th))
	cost-diff	0	(pow.f64 a2 #s(literal 2 binary64))
	cost-diff	0	(-.f64 a1 a2)
	cost-diff	0	(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
✓	cost-diff	0	(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
	cost-diff	0	(cos.f64 th)
✓	cost-diff	6528	(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓	cost-diff	6528	(/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))

Rules

759×	`fmm-def`
636×	`fma-define`
479×	`div-sub`
416×	`unsub-neg`
350×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	410
1	55	392
2	135	386
3	290	386
4	437	386
5	610	386
6	1065	386
7	1494	386
8	2875	386
9	3657	386
10	5794	386
11	7019	386
12	7868	386

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(cos.f64 th)
th
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
#s(literal -4 binary64)
(-.f64 a1 a2)
a1
a2
(pow.f64 a2 #s(literal 2 binary64))
a2
#s(literal 2 binary64)
(/.f64 (+.f64 a2 a1) (cos.f64 th))
(+.f64 a2 a1)
a2
a1
(cos.f64 th)
th
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 th))
#s(literal 1/2 binary64)
(cos.f64 th)
th
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2

Outputs
(.f64 (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(cos.f64 th)
th
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
(pow.f64 a2 #s(literal 2 binary64))
a2
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
#s(literal -4 binary64)
(-.f64 a1 a2)
a1
a2
(pow.f64 a2 #s(literal 2 binary64))
a2
#s(literal 2 binary64)
(/.f64 (+.f64 a2 a1) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(+.f64 a2 a1)
(+.f64 a1 a2)
a2
a1
(cos.f64 th)
th
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 (fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 th))
(*.f64 (cos.f64 th) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 th)
th
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
(pow.f64 a2 #s(literal 2 binary64))
a2

localize188.0ms (2.1%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 a1 a1)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (cos.f64 th))
	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.8%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	accuracy	100.0%	(+.f64 a2 a1)
	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.8%	(/.f64 (+.f64 a2 a1) (cos.f64 th))
	accuracy	100.0%	(pow.f64 a2 #s(literal 2 binary64))
	accuracy	100.0%	(-.f64 a1 a2)
	accuracy	100.0%	(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.6%	(.f64 (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	accuracy	98.9%	(/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓	accuracy	98.4%	(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))

Results

158.0ms

256×

valid

Compiler

Compiled 119 to 24 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 12.0ms (31.7% of total)

ival-pow: 11.0ms (29.1% of total)

ival-cos: 6.0ms (15.8% of total)

ival-div: 3.0ms (7.9% of total)

ival-add: 3.0ms (7.9% of total)

ival-sub: 1.0ms (2.6% of total)

const: 1.0ms (2.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series16.0ms (0.2%)

Counts

8 → 148

Calls

Call 1

Inputs
#<alt (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))>
#<alt (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))>
#<alt (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))>
#<alt (/.f64 (+.f64 a2 a1) (cos.f64 th))>
#<alt (+.f64 a2 a1)>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 th))>
#<alt (.f64 (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))>

Outputs
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 a1 (cos.f64 th))>
#<alt (+.f64 (/.f64 a1 (cos.f64 th)) (/.f64 a2 (cos.f64 th)))>
#<alt (+.f64 (/.f64 a1 (cos.f64 th)) (/.f64 a2 (cos.f64 th)))>
#<alt (+.f64 (/.f64 a1 (cos.f64 th)) (/.f64 a2 (cos.f64 th)))>
#<alt (/.f64 a2 (cos.f64 th))>
#<alt (.f64 a2 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 a1 (.f64 a2 (cos.f64 th)))))>
#<alt (.f64 a2 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 a1 (.f64 a2 (cos.f64 th)))))>
#<alt (.f64 a2 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 a1 (.f64 a2 (cos.f64 th)))))>
#<alt (/.f64 a2 (cos.f64 th))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a2 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 a1 (.f64 a2 (cos.f64 th)))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a2 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 a1 (.f64 a2 (cos.f64 th)))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a2 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 a1 (.f64 a2 (cos.f64 th)))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))))>
#<alt (/.f64 a2 (cos.f64 th))>
#<alt (+.f64 (/.f64 a1 (cos.f64 th)) (/.f64 a2 (cos.f64 th)))>
#<alt (+.f64 (/.f64 a1 (cos.f64 th)) (/.f64 a2 (cos.f64 th)))>
#<alt (+.f64 (/.f64 a1 (cos.f64 th)) (/.f64 a2 (cos.f64 th)))>
#<alt (/.f64 a1 (cos.f64 th))>
#<alt (.f64 a1 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 a2 (.f64 a1 (cos.f64 th)))))>
#<alt (.f64 a1 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 a2 (.f64 a1 (cos.f64 th)))))>
#<alt (.f64 a1 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 a2 (.f64 a1 (cos.f64 th)))))>
#<alt (/.f64 a1 (cos.f64 th))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a1 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 a2 (.f64 a1 (cos.f64 th)))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a1 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 a2 (.f64 a1 (cos.f64 th)))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a1 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 a2 (.f64 a1 (cos.f64 th)))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))))>
#<alt (+.f64 a1 a2)>
#<alt (+.f64 a1 (+.f64 a2 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 a1 a2)))))>
#<alt (+.f64 a1 (+.f64 a2 (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 a1 a2)) (.f64 #s(literal 1/24 binary64) (+.f64 a1 a2))))) (.f64 #s(literal -1/2 binary64) (+.f64 a1 a2))))))>
#<alt (+.f64 a1 (+.f64 a2 (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (+.f64 a1 a2)) (+.f64 (.f64 #s(literal 1/48 binary64) (+.f64 a1 a2)) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 a1 a2)) (.f64 #s(literal 1/24 binary64) (+.f64 a1 a2)))))))) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 a1 a2)) (.f64 #s(literal 1/24 binary64) (+.f64 a1 a2))))) (.f64 #s(literal -1/2 binary64) (+.f64 a1 a2))))))>
#<alt (/.f64 (+.f64 a1 a2) (cos.f64 th))>
#<alt (/.f64 (+.f64 a1 a2) (cos.f64 th))>
#<alt (/.f64 (+.f64 a1 a2) (cos.f64 th))>
#<alt (/.f64 (+.f64 a1 a2) (cos.f64 th))>
#<alt (/.f64 (+.f64 a1 a2) (cos.f64 th))>
#<alt (/.f64 (+.f64 a1 a2) (cos.f64 th))>
#<alt (/.f64 (+.f64 a1 a2) (cos.f64 th))>
#<alt (/.f64 (+.f64 a1 a2) (cos.f64 th))>
#<alt a1>
#<alt (+.f64 a1 a2)>
#<alt (+.f64 a1 a2)>
#<alt (+.f64 a1 a2)>
#<alt a2>
#<alt (*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2)))>
#<alt (*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2)))>
#<alt (*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2)))>
#<alt a2>
#<alt (.f64 #s(literal -1 binary64) (.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64))))>
#<alt a2>
#<alt (+.f64 a1 a2)>
#<alt (+.f64 a1 a2)>
#<alt (+.f64 a1 a2)>
#<alt a1>
#<alt (*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 a1)))>
#<alt (*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 a1)))>
#<alt (*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 a1)))>
#<alt a1>
#<alt (.f64 #s(literal -1 binary64) (.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 th #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/4 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 1/4 binary64))))>
#<alt (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 #s(literal 1/48 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64))))))>

Calls

39 calls:

Time	Variable		Point	Expression
3.0ms	a2	@	0	(+ a2 a1)
1.0ms	th	@	0	(/ (+ a2 a1) (cos th))
1.0ms	th	@	inf	(/ (+ a2 a1) (cos th))
0.0ms	th	@	-inf	(/ (+ a2 a1) (cos th))
0.0ms	a2	@	0	(/ (+ a2 a1) (cos th))

rewrite176.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1134×	`log1p-expm1-u`
641×	`expm1-log1p-u`
167×	`add-cube-cbrt`
164×	`add-exp-log`
163×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	179
1	364	163
2	5372	163

Stop Event

1×	node limit

Counts

8 → 228

Calls

Call 1

Inputs
(/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(/.f64 (+.f64 a2 a1) (cos.f64 th))
(+.f64 a2 a1)
(*.f64 #s(literal 1/2 binary64) (cos.f64 th))
(.f64 (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 (cos.f64 th)) (.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) #s(literal 2 binary64)) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1 binary64))
(neg.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 #s(literal 2 binary64)))
(.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))
(fabs.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
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(log.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))
(+.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64))))) (-.f64 (.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))))) (.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64))))) (.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))) (-.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))))))
(/.f64 (.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (.f64 (cos.f64 th) #s(literal 1/2 binary64))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (.f64 (cos.f64 th) #s(literal 1/2 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(pow.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (hypot.f64 a2 a1) (sqrt.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))

simplify212.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

579×	`associate-r`
555×	`associate-l`
492×	`fmm-def`
335×	`fma-define`
302×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	683	16001
1	1786	14225
2	7589	14221

Stop Event

1×	node limit

Counts

376 → 384

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 a1 (cos.f64 th))
(+.f64 (/.f64 a1 (cos.f64 th)) (/.f64 a2 (cos.f64 th)))
(+.f64 (/.f64 a1 (cos.f64 th)) (/.f64 a2 (cos.f64 th)))
(+.f64 (/.f64 a1 (cos.f64 th)) (/.f64 a2 (cos.f64 th)))
(/.f64 a2 (cos.f64 th))
(.f64 a2 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 a1 (.f64 a2 (cos.f64 th)))))
(.f64 a2 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 a1 (.f64 a2 (cos.f64 th)))))
(.f64 a2 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 a1 (.f64 a2 (cos.f64 th)))))
(/.f64 a2 (cos.f64 th))
(.f64 #s(literal -1 binary64) (.f64 a2 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 a1 (.f64 a2 (cos.f64 th)))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))))
(.f64 #s(literal -1 binary64) (.f64 a2 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 a1 (.f64 a2 (cos.f64 th)))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))))
(.f64 #s(literal -1 binary64) (.f64 a2 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 a1 (.f64 a2 (cos.f64 th)))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))))
(/.f64 a2 (cos.f64 th))
(+.f64 (/.f64 a1 (cos.f64 th)) (/.f64 a2 (cos.f64 th)))
(+.f64 (/.f64 a1 (cos.f64 th)) (/.f64 a2 (cos.f64 th)))
(+.f64 (/.f64 a1 (cos.f64 th)) (/.f64 a2 (cos.f64 th)))
(/.f64 a1 (cos.f64 th))
(.f64 a1 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 a2 (.f64 a1 (cos.f64 th)))))
(.f64 a1 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 a2 (.f64 a1 (cos.f64 th)))))
(.f64 a1 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 a2 (.f64 a1 (cos.f64 th)))))
(/.f64 a1 (cos.f64 th))
(.f64 #s(literal -1 binary64) (.f64 a1 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 a2 (.f64 a1 (cos.f64 th)))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))))
(.f64 #s(literal -1 binary64) (.f64 a1 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 a2 (.f64 a1 (cos.f64 th)))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))))
(.f64 #s(literal -1 binary64) (.f64 a1 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 a2 (.f64 a1 (cos.f64 th)))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))))
(+.f64 a1 a2)
(+.f64 a1 (+.f64 a2 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 a1 a2)))))
(+.f64 a1 (+.f64 a2 (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 a1 a2)) (.f64 #s(literal 1/24 binary64) (+.f64 a1 a2))))) (.f64 #s(literal -1/2 binary64) (+.f64 a1 a2))))))
(+.f64 a1 (+.f64 a2 (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (+.f64 a1 a2)) (+.f64 (.f64 #s(literal 1/48 binary64) (+.f64 a1 a2)) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 a1 a2)) (.f64 #s(literal 1/24 binary64) (+.f64 a1 a2)))))))) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 a1 a2)) (.f64 #s(literal 1/24 binary64) (+.f64 a1 a2))))) (.f64 #s(literal -1/2 binary64) (+.f64 a1 a2))))))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
a1
(+.f64 a1 a2)
(+.f64 a1 a2)
(+.f64 a1 a2)
a2
(*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2)))
(*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2)))
(*.f64 a2 (+.f64 #s(literal 1 binary64) (/.f64 a1 a2)))
a2
(.f64 #s(literal -1 binary64) (.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64))))
a2
(+.f64 a1 a2)
(+.f64 a1 a2)
(+.f64 a1 a2)
a1
(*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 a1)))
(*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 a1)))
(*.f64 a1 (+.f64 #s(literal 1 binary64) (/.f64 a2 a1)))
a1
(.f64 #s(literal -1 binary64) (.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 th #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 1/4 binary64))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
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(pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (hypot.f64 a2 a1)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))
(+.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64))))) (-.f64 (.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))))) (.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64))))) (.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))) (-.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))))))
(/.f64 (.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (.f64 (cos.f64 th) #s(literal 1/2 binary64))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (.f64 (cos.f64 th) #s(literal 1/2 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(pow.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (hypot.f64 a2 a1) (sqrt.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))

Outputs
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (/.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 a1 (cos.f64 th))
(+.f64 (/.f64 a1 (cos.f64 th)) (/.f64 a2 (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(+.f64 (/.f64 a1 (cos.f64 th)) (/.f64 a2 (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(+.f64 (/.f64 a1 (cos.f64 th)) (/.f64 a2 (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(/.f64 a2 (cos.f64 th))
(.f64 a2 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 a1 (.f64 a2 (cos.f64 th)))))
(.f64 a2 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 a1 (.f64 (cos.f64 th) a2))))
(*.f64 a2 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 (/.f64 a1 a2) (cos.f64 th))))
(.f64 a2 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 a1 (.f64 a2 (cos.f64 th)))))
(.f64 a2 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 a1 (.f64 (cos.f64 th) a2))))
(*.f64 a2 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 (/.f64 a1 a2) (cos.f64 th))))
(.f64 a2 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 a1 (.f64 a2 (cos.f64 th)))))
(.f64 a2 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 a1 (.f64 (cos.f64 th) a2))))
(*.f64 a2 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 (/.f64 a1 a2) (cos.f64 th))))
(/.f64 a2 (cos.f64 th))
(.f64 #s(literal -1 binary64) (.f64 a2 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 a1 (.f64 a2 (cos.f64 th)))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))))
(neg.f64 (.f64 a2 (-.f64 (neg.f64 (/.f64 a1 (.f64 (cos.f64 th) a2))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))))
(*.f64 (fma.f64 (/.f64 (/.f64 a1 a2) (cos.f64 th)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 th))) (neg.f64 a2))
(.f64 #s(literal -1 binary64) (.f64 a2 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 a1 (.f64 a2 (cos.f64 th)))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))))
(neg.f64 (.f64 a2 (-.f64 (neg.f64 (/.f64 a1 (.f64 (cos.f64 th) a2))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))))
(*.f64 (fma.f64 (/.f64 (/.f64 a1 a2) (cos.f64 th)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 th))) (neg.f64 a2))
(.f64 #s(literal -1 binary64) (.f64 a2 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 a1 (.f64 a2 (cos.f64 th)))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))))
(neg.f64 (.f64 a2 (-.f64 (neg.f64 (/.f64 a1 (.f64 (cos.f64 th) a2))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))))
(*.f64 (fma.f64 (/.f64 (/.f64 a1 a2) (cos.f64 th)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 th))) (neg.f64 a2))
(/.f64 a2 (cos.f64 th))
(+.f64 (/.f64 a1 (cos.f64 th)) (/.f64 a2 (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(+.f64 (/.f64 a1 (cos.f64 th)) (/.f64 a2 (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(+.f64 (/.f64 a1 (cos.f64 th)) (/.f64 a2 (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(/.f64 a1 (cos.f64 th))
(.f64 a1 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 a2 (.f64 a1 (cos.f64 th)))))
(.f64 a1 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 a2 (.f64 (cos.f64 th) a1))))
(*.f64 a1 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 (/.f64 a2 a1) (cos.f64 th))))
(.f64 a1 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 a2 (.f64 a1 (cos.f64 th)))))
(.f64 a1 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 a2 (.f64 (cos.f64 th) a1))))
(*.f64 a1 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 (/.f64 a2 a1) (cos.f64 th))))
(.f64 a1 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 a2 (.f64 a1 (cos.f64 th)))))
(.f64 a1 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 a2 (.f64 (cos.f64 th) a1))))
(*.f64 a1 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 (/.f64 a2 a1) (cos.f64 th))))
(/.f64 a1 (cos.f64 th))
(.f64 #s(literal -1 binary64) (.f64 a1 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 a2 (.f64 a1 (cos.f64 th)))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))))
(neg.f64 (.f64 a1 (-.f64 (neg.f64 (/.f64 a2 (.f64 (cos.f64 th) a1))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 a2 a1) (cos.f64 th)) (/.f64 #s(literal -1 binary64) (cos.f64 th))) (neg.f64 a1))
(.f64 #s(literal -1 binary64) (.f64 a1 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 a2 (.f64 a1 (cos.f64 th)))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))))
(neg.f64 (.f64 a1 (-.f64 (neg.f64 (/.f64 a2 (.f64 (cos.f64 th) a1))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 a2 a1) (cos.f64 th)) (/.f64 #s(literal -1 binary64) (cos.f64 th))) (neg.f64 a1))
(.f64 #s(literal -1 binary64) (.f64 a1 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 a2 (.f64 a1 (cos.f64 th)))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))))
(neg.f64 (.f64 a1 (-.f64 (neg.f64 (/.f64 a2 (.f64 (cos.f64 th) a1))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 a2 a1) (cos.f64 th)) (/.f64 #s(literal -1 binary64) (cos.f64 th))) (neg.f64 a1))
(+.f64 a1 a2)
(+.f64 a1 (+.f64 a2 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 a1 a2)))))
(.f64 (+.f64 a1 a2) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(+.f64 a1 (+.f64 a2 (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 a1 a2)) (.f64 #s(literal 1/24 binary64) (+.f64 a1 a2))))) (.f64 #s(literal -1/2 binary64) (+.f64 a1 a2))))))
(+.f64 a1 (+.f64 a2 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (neg.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (+.f64 a1 a2) #s(literal -5/24 binary64)))) (.f64 #s(literal 1/2 binary64) (+.f64 a1 a2))))))
(+.f64 a1 (fma.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (+.f64 a1 a2) #s(literal 5/24 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 a1 a2))) a2))
(+.f64 a1 (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (+.f64 a1 a2) #s(literal 5/24 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 a1 a2))) a2))
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(expm1.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64))))) (-.f64 (.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))))) (.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64))))) (.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) (-.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64))))))))
(/.f64 (.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3 binary64))))) (fma.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 a1 #s(literal 4 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (-.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64))))) (.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))) (-.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (.f64 (cos.f64 th) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))) (.f64 (cos.f64 th) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))))))
(/.f64 (.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 a1 #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 a2 #s(literal 4 binary64))))) (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))))
(/.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (.f64 (cos.f64 th) #s(literal 1/2 binary64))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))))
(/.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (.f64 (cos.f64 th) #s(literal 1/2 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(pow.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 3 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(pow.f64 (.f64 (hypot.f64 a2 a1) (sqrt.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(fabs.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(exp.f64 (log.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(fma.f64 (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))

eval122.0ms (1.3%)

Compiler: Compiled 10374 to 1804 computations (82.6% saved)

prune130.0ms (1.4%)

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	635	6	641
Fresh	3	12	15
Picked	3	2	5
Done	1	4	5
Total	642	24	666

Accuracy

100.0%

Counts

666 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.6%	(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
	7.4%	(/.f64 a2 (cos.f64 th))
	4.2%	(/.f64 a1 (cos.f64 th))
✓	99.5%	(.f64 (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	68.9%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	7.4%	(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (+.f64 a2 a1))
✓	99.6%	(.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	99.6%	(.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	59.9%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	68.8%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	99.5%	(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
	99.0%	(.f64 (cos.f64 th) (pow.f64 (.f64 a2 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
	59.8%	(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	7.0%	(*.f64 (cos.f64 th) (+.f64 a2 a1))
	1.5%	(.f64 (cos.f64 th) (+.f64 a1 (.f64 (neg.f64 a2) a2)))
	43.2%	(.f64 (cos.f64 th) (.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)) (+.f64 a2 a1)))
	99.1%	(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64))))
	7.4%	(.f64 (cos.f64 th) (.f64 a2 #s(literal 4 binary64)))
	78.0%	(.f64 (cos.f64 th) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
	48.0%	(*.f64 a2 a2)
	5.8%	(*.f64 a2 #s(literal 4 binary64))
	2.5%	(*.f64 a1 #s(literal -4 binary64))
	48.2%	(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Compiler

Compiled 681 to 312 computations (54.2% saved)

regimes121.0ms (1.3%)

Counts

42 → 1

Calls

Call 1

Inputs
(*.f64 a1 #s(literal -4 binary64))
(*.f64 a2 #s(literal 4 binary64))
(*.f64 a2 a2)
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) a2))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(pow.f64 a1 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 th))
(/.f64 a1 (cos.f64 th))
(/.f64 a2 (cos.f64 th))
(.f64 (cos.f64 th) (.f64 a2 #s(literal 4 binary64)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(/.f64 (+.f64 a2 a1) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 #s(literal -4 binary64) (-.f64 a1 a2)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (+.f64 a2 a1))
(.f64 (cos.f64 th) (+.f64 a1 (.f64 (neg.f64 a2) a2)))
(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (neg.f64 (cos.f64 th)) #s(literal -1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)) (+.f64 a2 a1)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (cos.f64 th) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
(.f64 (cos.f64 th) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (cos.f64 th) (pow.f64 (.f64 a2 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
(.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))

Outputs
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))

Calls

8 calls:

19.0ms	a1
19.0ms	(*.f64 a2 a2)
17.0ms	a2
16.0ms	(cos.f64 th)
13.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))

Results

Accuracy	Segments	Branch
99.6%	1	`a1`
99.6%	1	`a2`
99.6%	1	`th`
99.6%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
99.6%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.6%	1	`(cos.f64 th)`
99.6%	1	`(*.f64 a1 a1)`
99.6%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes199.0ms (2.2%)

Counts

35 → 1

Calls

Call 1

Inputs
(*.f64 a1 #s(literal -4 binary64))
(*.f64 a2 #s(literal 4 binary64))
(*.f64 a2 a2)
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) a2))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(pow.f64 a1 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 th))
(/.f64 a1 (cos.f64 th))
(/.f64 a2 (cos.f64 th))
(.f64 (cos.f64 th) (.f64 a2 #s(literal 4 binary64)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(/.f64 (+.f64 a2 a1) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 #s(literal -4 binary64) (-.f64 a1 a2)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (+.f64 a2 a1))
(.f64 (cos.f64 th) (+.f64 a1 (.f64 (neg.f64 a2) a2)))
(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (neg.f64 (cos.f64 th)) #s(literal -1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)) (+.f64 a2 a1)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (cos.f64 th) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
(.f64 (cos.f64 th) (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (cos.f64 th) (pow.f64 (.f64 a2 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))

Outputs
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Calls

7 calls:

54.0ms	a2
51.0ms	(*.f64 a1 a1)
50.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
11.0ms	a1
10.0ms	th

Results

Accuracy	Segments	Branch
99.6%	1	`a1`
99.6%	1	`a2`
99.6%	1	`th`
99.6%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.6%	1	`(cos.f64 th)`
99.6%	1	`(*.f64 a1 a1)`
99.6%	1	`(*.f64 a2 a2)`

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes105.0ms (1.2%)

Counts

28 → 1

Calls

Call 1

Inputs
(*.f64 a1 #s(literal -4 binary64))
(*.f64 a2 #s(literal 4 binary64))
(*.f64 a2 a2)
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) a2))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(pow.f64 a1 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 th))
(/.f64 a1 (cos.f64 th))
(/.f64 a2 (cos.f64 th))
(.f64 (cos.f64 th) (.f64 a2 #s(literal 4 binary64)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(/.f64 (+.f64 a2 a1) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 #s(literal -4 binary64) (-.f64 a1 a2)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (+.f64 a2 a1))
(.f64 (cos.f64 th) (+.f64 a1 (.f64 (neg.f64 a2) a2)))
(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (neg.f64 (cos.f64 th)) #s(literal -1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)) (+.f64 a2 a1)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))

Outputs
(.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))

Calls

6 calls:

48.0ms	th
22.0ms	(*.f64 a2 a2)
9.0ms	a2
9.0ms	a1
8.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
99.6%	1	`a1`
99.6%	1	`a2`
99.6%	1	`th`
99.6%	1	`(cos.f64 th)`
99.6%	1	`(*.f64 a1 a1)`
99.6%	1	`(*.f64 a2 a2)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes59.0ms (0.7%)

Counts

27 → 1

Calls

Call 1

Inputs
(*.f64 a1 #s(literal -4 binary64))
(*.f64 a2 #s(literal 4 binary64))
(*.f64 a2 a2)
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) a2))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(pow.f64 a1 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 th))
(/.f64 a1 (cos.f64 th))
(/.f64 a2 (cos.f64 th))
(.f64 (cos.f64 th) (.f64 a2 #s(literal 4 binary64)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(/.f64 (+.f64 a2 a1) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 #s(literal -4 binary64) (-.f64 a1 a2)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (+.f64 a2 a1))
(.f64 (cos.f64 th) (+.f64 a1 (.f64 (neg.f64 a2) a2)))
(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (neg.f64 (cos.f64 th)) #s(literal -1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)) (+.f64 a2 a1)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))

Outputs
(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64))))

Calls

6 calls:

9.0ms	a1
8.0ms	(cos.f64 th)
8.0ms	a2
8.0ms	th
8.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
99.1%	1	`a1`
99.1%	1	`a2`
99.1%	1	`th`
99.1%	1	`(cos.f64 th)`
99.1%	1	`(*.f64 a1 a1)`
99.1%	1	`(*.f64 a2 a2)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes48.0ms (0.5%)

Counts

25 → 2

Calls

Call 1

Inputs
(*.f64 a1 #s(literal -4 binary64))
(*.f64 a2 #s(literal 4 binary64))
(*.f64 a2 a2)
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) a2))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(pow.f64 a1 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 th))
(/.f64 a1 (cos.f64 th))
(/.f64 a2 (cos.f64 th))
(.f64 (cos.f64 th) (.f64 a2 #s(literal 4 binary64)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(/.f64 (+.f64 a2 a1) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 #s(literal -4 binary64) (-.f64 a1 a2)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (+.f64 a2 a1))
(.f64 (cos.f64 th) (+.f64 a1 (.f64 (neg.f64 a2) a2)))
(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (neg.f64 (cos.f64 th)) #s(literal -1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 (-.f64 (+.f64 a2 a1) (*.f64 a1 a2)) (+.f64 a2 a1)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Calls

6 calls:

8.0ms	th
8.0ms	a1
8.0ms	a2
8.0ms	(cos.f64 th)
8.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
68.9%	1	`a1`
78.3%	2	`a2`
80.4%	2	`th`
80.7%	2	`(cos.f64 th)`
68.9%	1	`(*.f64 a1 a1)`
78.3%	2	`(*.f64 a2 a2)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes72.0ms (0.8%)

Counts

21 → 2

Calls

Call 1

Inputs
(*.f64 a1 #s(literal -4 binary64))
(*.f64 a2 #s(literal 4 binary64))
(*.f64 a2 a2)
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) a2))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(pow.f64 a1 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 th))
(/.f64 a1 (cos.f64 th))
(/.f64 a2 (cos.f64 th))
(.f64 (cos.f64 th) (.f64 a2 #s(literal 4 binary64)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(/.f64 (+.f64 a2 a1) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 #s(literal -4 binary64) (-.f64 a1 a2)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (+.f64 a2 a1))
(.f64 (cos.f64 th) (+.f64 a1 (.f64 (neg.f64 a2) a2)))
(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Calls

1 calls:

6.0ms

(cos.f64 th)

Results

Accuracy	Segments	Branch
80.6%	2	`(cos.f64 th)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes8.0ms (0.1%)

Counts

20 → 2

Calls

Call 1

Inputs
(*.f64 a1 #s(literal -4 binary64))
(*.f64 a2 #s(literal 4 binary64))
(*.f64 a2 a2)
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) a2))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(pow.f64 a1 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 th))
(/.f64 a1 (cos.f64 th))
(/.f64 a2 (cos.f64 th))
(.f64 (cos.f64 th) (.f64 a2 #s(literal 4 binary64)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(/.f64 (+.f64 a2 a1) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 #s(literal -4 binary64) (-.f64 a1 a2)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (+.f64 a2 a1))
(.f64 (cos.f64 th) (+.f64 a1 (.f64 (neg.f64 a2) a2)))
(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Outputs
(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Calls

1 calls:

6.0ms

(cos.f64 th)

Results

Accuracy	Segments	Branch
80.6%	2	`(cos.f64 th)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes38.0ms (0.4%)

Counts

19 → 1

Calls

Call 1

Inputs
(*.f64 a1 #s(literal -4 binary64))
(*.f64 a2 #s(literal 4 binary64))
(*.f64 a2 a2)
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) a2))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(pow.f64 a1 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 th))
(/.f64 a1 (cos.f64 th))
(/.f64 a2 (cos.f64 th))
(.f64 (cos.f64 th) (.f64 a2 #s(literal 4 binary64)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(/.f64 (+.f64 a2 a1) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 #s(literal -4 binary64) (-.f64 a1 a2)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (+.f64 a2 a1))
(.f64 (cos.f64 th) (+.f64 a1 (.f64 (neg.f64 a2) a2)))
(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Outputs
(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Calls

6 calls:

7.0ms	a1
6.0ms	(*.f64 a2 a2)
6.0ms	a2
6.0ms	th
6.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
59.8%	1	`a1`
59.8%	1	`(*.f64 a1 a1)`
59.8%	1	`a2`
59.8%	1	`(*.f64 a2 a2)`
59.8%	1	`th`
59.8%	1	`(cos.f64 th)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes36.0ms (0.4%)

Counts

18 → 1

Calls

Call 1

Inputs
(*.f64 a1 #s(literal -4 binary64))
(*.f64 a2 #s(literal 4 binary64))
(*.f64 a2 a2)
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) a2))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(pow.f64 a1 #s(literal 2 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 th))
(/.f64 a1 (cos.f64 th))
(/.f64 a2 (cos.f64 th))
(.f64 (cos.f64 th) (.f64 a2 #s(literal 4 binary64)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(/.f64 (+.f64 a2 a1) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 #s(literal -4 binary64) (-.f64 a1 a2)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (+.f64 a2 a1))
(.f64 (cos.f64 th) (+.f64 a1 (.f64 (neg.f64 a2) a2)))

Outputs
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Calls

6 calls:

6.0ms	a2
6.0ms	a1
6.0ms	th
6.0ms	(cos.f64 th)
5.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
48.2%	1	`a2`
48.2%	1	`(*.f64 a2 a2)`
48.2%	1	`(cos.f64 th)`
48.2%	1	`a1`
48.2%	1	`(*.f64 a1 a1)`
48.2%	1	`th`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes13.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 a1 #s(literal -4 binary64))
(*.f64 a2 #s(literal 4 binary64))
(*.f64 a2 a2)
(*.f64 #s(literal -4 binary64) (-.f64 a1 a2))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) a2))

Outputs
(*.f64 a2 a2)

Calls

5 calls:

3.0ms	(*.f64 a1 a1)
3.0ms	a1
2.0ms	a2
2.0ms	th
2.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
48.0%	1	`a1`
48.0%	1	`(*.f64 a1 a1)`
48.0%	1	`a2`
48.0%	1	`th`
48.0%	1	`(*.f64 a2 a2)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 a1 #s(literal -4 binary64))
(*.f64 a2 #s(literal 4 binary64))

Outputs
(*.f64 a2 #s(literal 4 binary64))

Calls

3 calls:

2.0ms	th
2.0ms	a2
2.0ms	a1

Results

Accuracy	Segments	Branch
5.8%	1	`a2`
5.8%	1	`a1`
5.8%	1	`th`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 a1 #s(literal -4 binary64))

Outputs
(*.f64 a1 #s(literal -4 binary64))

Calls

3 calls:

1.0ms	a2
1.0ms	th
1.0ms	a1

Results

Accuracy	Segments	Branch
2.5%	1	`th`
2.5%	1	`a1`
2.5%	1	`a2`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.6641937748217883	0.6834815495507623

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.6641937748217883	0.6834815495507623

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.6641937748217883	0.6834815495507623

Compiler

Compiled 24 to 18 computations (25% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative`
3×	`1-exp`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	629
1	68	629

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 (cos.f64 th) #s(literal 6124895493223875/9007199254740992 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(if (<=.f64 (cos.f64 th) #s(literal 6124895493223875/9007199254740992 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(if (<=.f64 (cos.f64 th) #s(literal 6124895493223875/9007199254740992 binary64)) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 a2 a2)
(*.f64 a2 #s(literal 4 binary64))
(*.f64 a1 #s(literal -4 binary64))

Outputs
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 (cos.f64 th) #s(literal 6124895493223875/9007199254740992 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(if (<=.f64 (cos.f64 th) #s(literal 6124895493223875/9007199254740992 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (cos.f64 th) #s(literal 1/2 binary64))) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(if (<=.f64 (cos.f64 th) #s(literal 6124895493223875/9007199254740992 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(if (<=.f64 (cos.f64 th) #s(literal 6124895493223875/9007199254740992 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (cos.f64 th) #s(literal 1/2 binary64))) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))))
(if (<=.f64 (cos.f64 th) #s(literal 6124895493223875/9007199254740992 binary64)) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(if (<=.f64 (cos.f64 th) #s(literal 6124895493223875/9007199254740992 binary64)) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1/2 binary64))
(*.f64 a2 a2)
(*.f64 a2 #s(literal 4 binary64))
(*.f64 a1 #s(literal -4 binary64))

soundness1.6s (18.1%)

Rules

1241×	`fma-define`
1133×	`log1p-expm1-u`
937×	`prod-diff`
808×	`log1p-expm1-u`
732×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	193
1	301	173
2	3735	173
0	767	20196
1	1902	19080
2	5486	19038
0	32	310
1	453	282
2	6006	282
0	48	606
1	145	562
2	421	562
3	1139	562
4	2837	562
5	5637	562
6	6570	562
7	7382	562
8	7458	562
9	7474	562
0	39	444
1	635	444
0	479	25975
1	1353	24761
2	4477	23733
0	513	18303
1	1181	16825
2	5666	16817

Stop Event

1×	fuel
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 1167 to 377 computations (67.7% saved)

preprocess86.0ms (0.9%)

Remove

(sort a1 a2)

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 962 to 498 computations (48.2% saved)

analyze0.0ms (0%)

sample1.4s (15.2%)

preprocess190.0ms (2.1%)

explain344.0ms (3.8%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify13.0ms (0.1%)

localize109.0ms (1.2%)

series57.0ms (0.6%)

rewrite497.0ms (5.5%)

simplify334.0ms (3.7%)

eval57.0ms (0.6%)

prune54.0ms (0.6%)

simplify180.0ms (2%)

localize226.0ms (2.5%)

series47.0ms (0.5%)

rewrite96.0ms (1.1%)

simplify360.0ms (4%)

eval95.0ms (1%)

prune188.0ms (2.1%)

simplify382.0ms (4.2%)

localize159.0ms (1.8%)

series27.0ms (0.3%)

rewrite204.0ms (2.3%)

simplify348.0ms (3.8%)

eval87.0ms (1%)

prune206.0ms (2.3%)

simplify149.0ms (1.6%)

localize188.0ms (2.1%)

series16.0ms (0.2%)

rewrite176.0ms (1.9%)

simplify212.0ms (2.3%)

eval122.0ms (1.3%)

prune130.0ms (1.4%)

regimes121.0ms (1.3%)

regimes199.0ms (2.2%)

regimes105.0ms (1.2%)

regimes59.0ms (0.7%)

regimes48.0ms (0.5%)

regimes72.0ms (0.8%)

regimes8.0ms (0.1%)

regimes38.0ms (0.4%)

regimes36.0ms (0.4%)

regimes13.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

simplify5.0ms (0.1%)

soundness1.6s (18.1%)

preprocess86.0ms (0.9%)

end0.0ms (0%)

Profiling