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 (21.6%)

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 830.0ms

ival-mult: 278.0ms (33.5% of total)

ival-cos: 249.0ms (30% of total)

ival-add: 136.0ms (16.4% of total)

ival-sqrt: 98.0ms (11.8% of total)

ival-div: 54.0ms (6.5% of total)

ival-true: 7.0ms (0.8% of total)

ival-assert: 5.0ms (0.6% of total)

...in/eval/compile.rkt:70:19: 4.0ms (0.5% of total)

Bogosity

preprocess188.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1 241×	`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)

explain260.0ms (3.9%)

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

Samples

178.0ms

512×

valid

Compiler

Compiled 160 to 52 computations (67.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-sqrt: 56.0ms (61.8% of total)

ival-mult: 16.0ms (17.7% of total)

ival-cos: 11.0ms (12.1% of total)

ival-div: 3.0ms (3.3% of total)

ival-add: 2.0ms (2.2% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

ival-assert: 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)

simplify15.0ms (0.2%)

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

localize60.0ms (0.9%)

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	99.7%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	accuracy	99.0%	(/.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	99.8%	(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	99.6%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))

Samples

42.0ms

256×

valid

Compiler

Compiled 79 to 16 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 6.0ms (28% of total)

ival-cos: 6.0ms (28% of total)

ival-div: 3.0ms (14% of total)

ival-fma: 3.0ms (14% of total)

ival-sqrt: 3.0ms (14% of total)

ival-add: 1.0ms (4.7% of total)

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

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series25.0ms (0.4%)

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
3.0ms	th	@	inf	(* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))
2.0ms	a1	@	-inf	(* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))
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)))

rewrite278.0ms (4.2%)

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))))

simplify201.0ms (3%)

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))))

eval40.0ms (0.6%)

Compiler: Compiled 6 666 to 1 052 computations (84.2% saved)

prune66.0ms (1%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	340	11	351
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	340	13	353

Accuracy

100.0%

Counts

353 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
▶	16.0%	(/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
	99.6%	(.f64 (/.f64 (expm1.f64 (log1p.f64 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	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)))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	64.7%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	99.7%	(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
▶	99.5%	(.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 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
	99.4%	(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
	76.0%	(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
	64.7%	(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 367 to 267 computations (27.2% saved)

simplify178.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

1 379×	`fmm-def`
553×	`fma-define`
498×	`unsub-neg`
446×	`distribute-lft-neg-in`
345×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	747
1	100	689
2	313	657
3	1114	657
4	2618	657
5	5051	657
6	6308	657
7	6701	657
8	6849	657
9	6875	657
10	6882	657

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.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 #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 (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 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))
(pow.f64 a1 #s(literal 2 binary64))
a1
#s(literal 2 binary64)
(cos.f64 th)
th
(sqrt.f64 #s(literal 2 binary64))
(.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

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

localize141.0ms (2.1%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.7%	(.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	99.0%	(/.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))
	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.9%	(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))
✓	accuracy	99.6%	(/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.7%	(.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	99.6%	(*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
	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%	(*.f64 a1 a1)
	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.7%	(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	accuracy	99.6%	(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))

Samples

91.0ms

256×

valid

Compiler

Compiled 216 to 31 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 13.0ms (26.5% of total)

ival-pow: 12.0ms (24.5% of total)

ival-div: 10.0ms (20.4% of total)

ival-cos: 6.0ms (12.2% of total)

ival-neg: 3.0ms (6.1% of total)

ival-add: 2.0ms (4.1% of total)

ival-sqrt: 2.0ms (4.1% of total)

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

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series25.0ms (0.4%)

Counts

17 → 200

Calls

Call 1

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

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

Calls

63 calls:

Time	Variable		Point	Expression
3.0ms	a1	@	inf	(* (* (pow 2 -1/2) (cos th)) (+ (* a1 a1) (* a2 a2)))
1.0ms	a1	@	0	(/ (* (pow a1 2) (cos th)) (sqrt 2))
1.0ms	th	@	-inf	(/ (* (pow a1 2) (cos th)) (sqrt 2))
1.0ms	th	@	inf	(/ (* (pow a1 2) (cos th)) (sqrt 2))
1.0ms	th	@	0	(* (* (pow 2 -1/2) (cos th)) (+ (* a1 a1) (* a2 a2)))

rewrite72.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

243×	`associate-r`
226×	`log1p-expm1-u`
226×	`expm1-log1p-u`
204×	`add-cube-cbrt`
203×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	382
1	578	382

Stop Event

1×	node limit

Counts

17 → 398

Calls

Call 1

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

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

simplify212.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

675×	`times-frac`
399×	`associate-+r+`
391×	`associate-+l+`
307×	`prod-exp`
295×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	443	18094
1	1122	16830
2	3779	16249

Stop Event

1×	node limit

Counts

598 → 417

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

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

eval85.0ms (1.3%)

Compiler: Compiled 11 013 to 1 660 computations (84.9% saved)

prune124.0ms (1.8%)

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	685	19	704
Fresh	2	4	6
Picked	3	2	5
Done	0	2	2
Total	690	27	717

Accuracy

100.0%

Counts

717 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.4%	(fma.f64 #s(literal -2 binary64) a2 a1)
	64.7%	(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
▶	3.1%	(/.f64 (+.f64 a2 a1) #s(literal -2 binary64))
	99.4%	(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
	3.1%	(-.f64 (*.f64 a1 #s(literal -2 binary64)) a2)
	3.1%	(-.f64 (neg.f64 a2) a1)
	3.1%	(-.f64 a1 a2)
	4.8%	(+.f64 (+.f64 a2 #s(literal 3 binary64)) a1)
▶	5.3%	(+.f64 a2 a1)
	14.3%	(+.f64 a1 (*.f64 (neg.f64 a2) a2))
▶	21.4%	(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 th #s(literal 2 binary64)))) #s(literal -2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	99.6%	(.f64 (/.f64 (expm1.f64 (log1p.f64 (cos.f64 th))) (sqrt.f64 #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)))
✓	64.7%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	44.9%	(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
▶	99.7%	(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	99.5%	(.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)))
	16.0%	(.f64 (.f64 (cos.f64 th) a1) a1)
	60.6%	(.f64 (.f64 #s(literal 3/4 binary64) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	64.8%	(.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)))
✓	99.6%	(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
	58.4%	(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	99.4%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
	76.0%	(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
	4.4%	(*.f64 (cos.f64 th) a1)
	44.9%	(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Compiler

Compiled 572 to 405 computations (29.2% saved)

simplify70.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Program
	cost-diff	(*.f64 a1 a1)
✓	cost-diff	(*.f64 th #s(literal 2 binary64))
✓	cost-diff	(cos.f64 (*.f64 th #s(literal 2 binary64)))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))
✓	cost-diff	(fma.f64 #s(literal -2 binary64) a2 a1)
✓	cost-diff	(+.f64 a2 a1)
✓	cost-diff	(/.f64 (+.f64 a2 a1) #s(literal -2 binary64))
✓	cost-diff	(+.f64 a2 a1)
	cost-diff	(*.f64 a1 a1)
	cost-diff	(cos.f64 th)
✓	cost-diff	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))

Rules

978×	`fma-define`
153×	`associate-r`
148×	`distribute-rgt-in`
146×	`associate-l`
136×	`distribute-lft-in`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	30	429
1	61	429
2	133	429
3	264	429
4	432	429
5	732	429
6	1212	429
7	1663	421
8	2032	421
9	2167	421
10	2171	421
11	2179	421

Stop Event

1×

saturated

Calls

Call 1

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

localize134.0ms (2%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 a1 a1)
✓	accuracy	100.0%	(cos.f64 (*.f64 th #s(literal 2 binary64)))
✓	accuracy	99.8%	(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 th #s(literal 2 binary64)))) #s(literal -2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	accuracy	99.2%	(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))
✓	accuracy	100.0%	(fma.f64 #s(literal -2 binary64) a2 a1)
✓	accuracy	100.0%	(/.f64 (+.f64 a2 a1) #s(literal -2 binary64))
✓	accuracy	100.0%	(+.f64 a2 a1)
✓	accuracy	100.0%	(+.f64 a2 a1)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.7%	(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	accuracy	99.6%	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))

Samples

105.0ms

256×

valid

Compiler

Compiled 120 to 24 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-add: 45.0ms (61.6% of total)

ival-cos: 11.0ms (15.1% of total)

ival-mult: 9.0ms (12.3% of total)

ival-div: 4.0ms (5.5% of total)

ival-fma: 2.0ms (2.7% of total)

ival-sqrt: 2.0ms (2.7% of total)

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

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series24.0ms (0.4%)

Counts

10 → 192

Calls

Call 1

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

Calls

48 calls:

Time	Variable		Point	Expression
3.0ms	a2	@	0	(/ (+ a2 a1) -2)
2.0ms	a1	@	-inf	(/ (+ a2 a1) -2)
1.0ms	a1	@	0	(* (/ (+ 1 (cos (* th 2))) -2) (+ (* a1 a1) (* a2 a2)))
1.0ms	a2	@	0	(* (/ (+ 1 (cos (* th 2))) -2) (+ (* a1 a1) (* a2 a2)))
1.0ms	th	@	inf	(* (/ (+ 1 (cos (* th 2))) -2) (+ (* a1 a1) (* a2 a2)))

rewrite204.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1 111×	`log1p-expm1-u`
197×	`add-cube-cbrt`
197×	`expm1-log1p-u`
196×	`associate-r`
194×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	216
1	431	206
2	6187	206

Stop Event

1×	node limit

Counts

10 → 253

Calls

Call 1

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

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

simplify217.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

394×	`fma-define`
339×	`fmm-def`
333×	`*-commutative`
326×	`cancel-sign-sub-inv`
290×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	707	16412
1	1842	15476
2	5634	15420

Stop Event

1×	node limit

Counts

445 → 420

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))))))))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
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))))
(*.f64 #s(literal -1/2 binary64) a1)
(+.f64 (.f64 #s(literal -1/2 binary64) a1) (.f64 #s(literal -1/2 binary64) a2))
(+.f64 (.f64 #s(literal -1/2 binary64) a1) (.f64 #s(literal -1/2 binary64) a2))
(+.f64 (.f64 #s(literal -1/2 binary64) a1) (.f64 #s(literal -1/2 binary64) a2))
(*.f64 #s(literal -1/2 binary64) a2)
(.f64 a2 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a1 a2)) #s(literal 1/2 binary64)))
(.f64 a2 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a1 a2)) #s(literal 1/2 binary64)))
(.f64 a2 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a1 a2)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) a2)
(.f64 #s(literal -1 binary64) (.f64 a2 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 a1 a2)))))
(.f64 #s(literal -1 binary64) (.f64 a2 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 a1 a2)))))
(.f64 #s(literal -1 binary64) (.f64 a2 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 a1 a2)))))
(*.f64 #s(literal -1/2 binary64) a2)
(+.f64 (.f64 #s(literal -1/2 binary64) a1) (.f64 #s(literal -1/2 binary64) a2))
(+.f64 (.f64 #s(literal -1/2 binary64) a1) (.f64 #s(literal -1/2 binary64) a2))
(+.f64 (.f64 #s(literal -1/2 binary64) a1) (.f64 #s(literal -1/2 binary64) a2))
(*.f64 #s(literal -1/2 binary64) a1)
(.f64 a1 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a2 a1)) #s(literal 1/2 binary64)))
(.f64 a1 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a2 a1)) #s(literal 1/2 binary64)))
(.f64 a1 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a2 a1)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) a1)
(.f64 #s(literal -1 binary64) (.f64 a1 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 a2 a1)))))
(.f64 #s(literal -1 binary64) (.f64 a1 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 a2 a1)))))
(.f64 #s(literal -1 binary64) (.f64 a1 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 a2 a1)))))
a1
(+.f64 a1 (*.f64 #s(literal -2 binary64) a2))
(+.f64 a1 (*.f64 #s(literal -2 binary64) a2))
(+.f64 a1 (*.f64 #s(literal -2 binary64) a2))
(*.f64 #s(literal -2 binary64) a2)
(*.f64 a2 (-.f64 (/.f64 a1 a2) #s(literal 2 binary64)))
(*.f64 a2 (-.f64 (/.f64 a1 a2) #s(literal 2 binary64)))
(*.f64 a2 (-.f64 (/.f64 a1 a2) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) a2)
(.f64 #s(literal -1 binary64) (.f64 a2 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)))))
(.f64 #s(literal -1 binary64) (.f64 a2 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)))))
(.f64 #s(literal -1 binary64) (.f64 a2 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)))))
(*.f64 #s(literal -2 binary64) a2)
(+.f64 a1 (*.f64 #s(literal -2 binary64) a2))
(+.f64 a1 (*.f64 #s(literal -2 binary64) a2))
(+.f64 a1 (*.f64 #s(literal -2 binary64) a2))
a1
(.f64 a1 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 a2 a1))))
(.f64 a1 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 a2 a1))))
(.f64 a1 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 a2 a1))))
a1
(.f64 #s(literal -1 binary64) (.f64 a1 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 a1 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 a1 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 th #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/3 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal -4/45 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 th #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/3 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal -4/45 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 2 binary64))))
(cos.f64 (*.f64 #s(literal 2 binary64) th))
(cos.f64 (*.f64 #s(literal 2 binary64) th))
(cos.f64 (*.f64 #s(literal 2 binary64) th))
(cos.f64 (*.f64 #s(literal 2 binary64) th))
(cos.f64 (*.f64 #s(literal 2 binary64) th))
(cos.f64 (*.f64 #s(literal 2 binary64) th))
(cos.f64 (*.f64 #s(literal 2 binary64) th))
(cos.f64 (*.f64 #s(literal 2 binary64) th))
(*.f64 #s(literal 2 binary64) th)
(*.f64 #s(literal 2 binary64) th)
(*.f64 #s(literal 2 binary64) th)
(*.f64 #s(literal 2 binary64) th)
(*.f64 #s(literal 2 binary64) th)
(*.f64 #s(literal 2 binary64) th)
(*.f64 #s(literal 2 binary64) th)
(*.f64 #s(literal 2 binary64) th)
(*.f64 #s(literal 2 binary64) th)
(*.f64 #s(literal 2 binary64) th)
(*.f64 #s(literal 2 binary64) th)
(*.f64 #s(literal 2 binary64) th)
(*.f64 (sqrt.f64 #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) (.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(+.f64 (.f64 (sqrt.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 -1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))))
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(log1p.f64 (expm1.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 th #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 th #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 th #s(literal 2 binary64)))) (.f64 #s(literal -1/2 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 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 th #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 th #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))
(fma.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 th #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 th #s(literal 2 binary64)))) (*.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)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (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)) (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)))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (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))))
(neg.f64 (*.f64 a2 (fma.f64 #s(literal -1 binary64) (/.f64 a1 a2) #s(literal -1 binary64))))
(*.f64 (fma.f64 (/.f64 a1 a2) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 a2))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a1 a2)) (neg.f64 a2))
(.f64 #s(literal -1 binary64) (.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64))))
(neg.f64 (*.f64 a2 (fma.f64 #s(literal -1 binary64) (/.f64 a1 a2) #s(literal -1 binary64))))
(*.f64 (fma.f64 (/.f64 a1 a2) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 a2))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a1 a2)) (neg.f64 a2))
(.f64 #s(literal -1 binary64) (.f64 a2 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)) #s(literal 1 binary64))))
(neg.f64 (*.f64 a2 (fma.f64 #s(literal -1 binary64) (/.f64 a1 a2) #s(literal -1 binary64))))
(*.f64 (fma.f64 (/.f64 a1 a2) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 a2))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a1 a2)) (neg.f64 a2))
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))))
(neg.f64 (*.f64 a1 (fma.f64 #s(literal -1 binary64) (/.f64 a2 a1) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 a2 a1) #s(literal -1 binary64)) (neg.f64 a1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a2 a1)) (neg.f64 a1))
(.f64 #s(literal -1 binary64) (.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))
(neg.f64 (*.f64 a1 (fma.f64 #s(literal -1 binary64) (/.f64 a2 a1) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 a2 a1) #s(literal -1 binary64)) (neg.f64 a1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a2 a1)) (neg.f64 a1))
(.f64 #s(literal -1 binary64) (.f64 a1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))
(neg.f64 (*.f64 a1 (fma.f64 #s(literal -1 binary64) (/.f64 a2 a1) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 a2 a1) #s(literal -1 binary64)) (neg.f64 a1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a2 a1)) (neg.f64 a1))
(*.f64 #s(literal -1/2 binary64) a1)
(+.f64 (.f64 #s(literal -1/2 binary64) a1) (.f64 #s(literal -1/2 binary64) a2))
(*.f64 #s(literal -1/2 binary64) (+.f64 a1 a2))
(+.f64 (.f64 #s(literal -1/2 binary64) a1) (.f64 #s(literal -1/2 binary64) a2))
(*.f64 #s(literal -1/2 binary64) (+.f64 a1 a2))
(+.f64 (.f64 #s(literal -1/2 binary64) a1) (.f64 #s(literal -1/2 binary64) a2))
(*.f64 #s(literal -1/2 binary64) (+.f64 a1 a2))
(*.f64 #s(literal -1/2 binary64) a2)
(.f64 a2 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a1 a2)) #s(literal 1/2 binary64)))
(*.f64 a2 (fma.f64 #s(literal -1/2 binary64) (/.f64 a1 a2) #s(literal -1/2 binary64)))
(*.f64 a2 (fma.f64 a1 (/.f64 #s(literal -1/2 binary64) a2) #s(literal -1/2 binary64)))
(.f64 a2 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a1 a2)) #s(literal 1/2 binary64)))
(*.f64 a2 (fma.f64 #s(literal -1/2 binary64) (/.f64 a1 a2) #s(literal -1/2 binary64)))
(*.f64 a2 (fma.f64 a1 (/.f64 #s(literal -1/2 binary64) a2) #s(literal -1/2 binary64)))
(.f64 a2 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a1 a2)) #s(literal 1/2 binary64)))
(*.f64 a2 (fma.f64 #s(literal -1/2 binary64) (/.f64 a1 a2) #s(literal -1/2 binary64)))
(*.f64 a2 (fma.f64 a1 (/.f64 #s(literal -1/2 binary64) a2) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) a2)
(.f64 #s(literal -1 binary64) (.f64 a2 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 a1 a2)))))
(*.f64 a2 (fma.f64 #s(literal -1/2 binary64) (/.f64 a1 a2) #s(literal -1/2 binary64)))
(*.f64 a2 (fma.f64 a1 (/.f64 #s(literal -1/2 binary64) a2) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 a2 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 a1 a2)))))
(*.f64 a2 (fma.f64 #s(literal -1/2 binary64) (/.f64 a1 a2) #s(literal -1/2 binary64)))
(*.f64 a2 (fma.f64 a1 (/.f64 #s(literal -1/2 binary64) a2) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 a2 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 a1 a2)))))
(*.f64 a2 (fma.f64 #s(literal -1/2 binary64) (/.f64 a1 a2) #s(literal -1/2 binary64)))
(*.f64 a2 (fma.f64 a1 (/.f64 #s(literal -1/2 binary64) a2) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) a2)
(+.f64 (.f64 #s(literal -1/2 binary64) a1) (.f64 #s(literal -1/2 binary64) a2))
(*.f64 #s(literal -1/2 binary64) (+.f64 a1 a2))
(+.f64 (.f64 #s(literal -1/2 binary64) a1) (.f64 #s(literal -1/2 binary64) a2))
(*.f64 #s(literal -1/2 binary64) (+.f64 a1 a2))
(+.f64 (.f64 #s(literal -1/2 binary64) a1) (.f64 #s(literal -1/2 binary64) a2))
(*.f64 #s(literal -1/2 binary64) (+.f64 a1 a2))
(*.f64 #s(literal -1/2 binary64) a1)
(.f64 a1 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a2 a1)) #s(literal 1/2 binary64)))
(*.f64 a1 (fma.f64 #s(literal -1/2 binary64) (/.f64 a2 a1) #s(literal -1/2 binary64)))
(.f64 a1 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a2 a1)) #s(literal 1/2 binary64)))
(*.f64 a1 (fma.f64 #s(literal -1/2 binary64) (/.f64 a2 a1) #s(literal -1/2 binary64)))
(.f64 a1 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a2 a1)) #s(literal 1/2 binary64)))
(*.f64 a1 (fma.f64 #s(literal -1/2 binary64) (/.f64 a2 a1) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) a1)
(.f64 #s(literal -1 binary64) (.f64 a1 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 a2 a1)))))
(*.f64 a1 (fma.f64 #s(literal -1/2 binary64) (/.f64 a2 a1) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 a1 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 a2 a1)))))
(*.f64 a1 (fma.f64 #s(literal -1/2 binary64) (/.f64 a2 a1) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 a1 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 a2 a1)))))
(*.f64 a1 (fma.f64 #s(literal -1/2 binary64) (/.f64 a2 a1) #s(literal -1/2 binary64)))
a1
(+.f64 a1 (*.f64 #s(literal -2 binary64) a2))
(fma.f64 a2 #s(literal -2 binary64) a1)
(+.f64 a1 (*.f64 #s(literal -2 binary64) a2))
(fma.f64 a2 #s(literal -2 binary64) a1)
(+.f64 a1 (*.f64 #s(literal -2 binary64) a2))
(fma.f64 a2 #s(literal -2 binary64) a1)
(*.f64 #s(literal -2 binary64) a2)
(*.f64 a2 #s(literal -2 binary64))
(*.f64 a2 (-.f64 (/.f64 a1 a2) #s(literal 2 binary64)))
(*.f64 a2 (+.f64 (/.f64 a1 a2) #s(literal -2 binary64)))
(*.f64 a2 (-.f64 (/.f64 a1 a2) #s(literal 2 binary64)))
(*.f64 a2 (+.f64 (/.f64 a1 a2) #s(literal -2 binary64)))
(*.f64 a2 (-.f64 (/.f64 a1 a2) #s(literal 2 binary64)))
(*.f64 a2 (+.f64 (/.f64 a1 a2) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) a2)
(*.f64 a2 #s(literal -2 binary64))
(.f64 #s(literal -1 binary64) (.f64 a2 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)))))
(*.f64 a2 (+.f64 (/.f64 a1 a2) #s(literal -2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 a2 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)))))
(*.f64 a2 (+.f64 (/.f64 a1 a2) #s(literal -2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 a2 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a1 a2)))))
(*.f64 a2 (+.f64 (/.f64 a1 a2) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) a2)
(*.f64 a2 #s(literal -2 binary64))
(+.f64 a1 (*.f64 #s(literal -2 binary64) a2))
(fma.f64 a2 #s(literal -2 binary64) a1)
(+.f64 a1 (*.f64 #s(literal -2 binary64) a2))
(fma.f64 a2 #s(literal -2 binary64) a1)
(+.f64 a1 (*.f64 #s(literal -2 binary64) a2))
(fma.f64 a2 #s(literal -2 binary64) a1)
a1
(.f64 a1 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 a2 a1))))
(.f64 a1 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 a2 a1) #s(literal -2 binary64))))
(*.f64 a1 (fma.f64 (/.f64 a2 a1) #s(literal -2 binary64) #s(literal 1 binary64)))
(.f64 a1 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 a2 a1))))
(.f64 a1 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 a2 a1) #s(literal -2 binary64))))
(*.f64 a1 (fma.f64 (/.f64 a2 a1) #s(literal -2 binary64) #s(literal 1 binary64)))
(.f64 a1 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 a2 a1))))
(.f64 a1 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 a2 a1) #s(literal -2 binary64))))
(*.f64 a1 (fma.f64 (/.f64 a2 a1) #s(literal -2 binary64) #s(literal 1 binary64)))
a1
(.f64 #s(literal -1 binary64) (.f64 a1 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))
(neg.f64 (*.f64 a1 (fma.f64 #s(literal 2 binary64) (/.f64 a2 a1) #s(literal -1 binary64))))
(*.f64 a1 (neg.f64 (fma.f64 #s(literal 2 binary64) (/.f64 a2 a1) #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 a1 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))
(neg.f64 (*.f64 a1 (fma.f64 #s(literal 2 binary64) (/.f64 a2 a1) #s(literal -1 binary64))))
(*.f64 a1 (neg.f64 (fma.f64 #s(literal 2 binary64) (/.f64 a2 a1) #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 a1 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 a2 a1)) #s(literal 1 binary64))))
(neg.f64 (*.f64 a1 (fma.f64 #s(literal 2 binary64) (/.f64 a2 a1) #s(literal -1 binary64))))
(*.f64 a1 (neg.f64 (fma.f64 #s(literal 2 binary64) (/.f64 a2 a1) #s(literal -1 binary64))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 th #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/3 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal 2/3 binary64) (pow.f64 th #s(literal 2 binary64)) #s(literal -2 binary64))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 2/3 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal -4/45 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -4/45 binary64))) #s(literal -2 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 -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))
(+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 th #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -2 binary64)))
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(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 th #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (.f64 #s(literal -2 binary64) (/.f64 (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 th #s(literal 2 binary64)))))))
(/.f64 (.f64 (+.f64 (neg.f64 (cos.f64 (.f64 th #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.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 (hypot.f64 a1 a2) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))))
(pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 th #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.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 (hypot.f64 a1 a2) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))))
(pow.f64 (cbrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 th #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 3 binary64))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.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 (hypot.f64 a1 a2) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))))
(pow.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 th #s(literal 2 binary64)))) (*.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 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.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 (hypot.f64 a1 a2) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))))
(pow.f64 (.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (hypot.f64 a2 a1)) #s(literal 2 binary64))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.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 (hypot.f64 a1 a2) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 th #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(fabs.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))))))
(.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 th #s(literal 2 binary64)))) (fabs.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 th #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.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 (hypot.f64 a1 a2) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 th #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.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 (hypot.f64 a1 a2) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 th #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.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 (hypot.f64 a1 a2) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #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 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.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 (hypot.f64 a1 a2) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64)))) #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 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.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 (hypot.f64 a1 a2) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 th #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))))))
(log1p.f64 (expm1.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 th #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.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 (hypot.f64 a1 a2) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))))
(exp.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 th #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.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 (hypot.f64 a1 a2) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 th #s(literal 2 binary64)))) (.f64 #s(literal -1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.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 (hypot.f64 a1 a2) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 th #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 th #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.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 (hypot.f64 a1 a2) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))))
(fma.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 th #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 th #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.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 (hypot.f64 a1 a2) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 th #s(literal 2 binary64))))))

eval119.0ms (1.8%)

Compiler: Compiled 9 130 to 1 532 computations (83.2% saved)

prune91.0ms (1.4%)

Pruning

27 alts after pruning (20 fresh and 7 done)

	Pruned	Kept	Total
New	518	6	524
Fresh	4	14	18
Picked	2	3	5
Done	0	4	4
Total	524	27	551

Accuracy

100.0%

Counts

551 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.7%	(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
	99.4%	(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
▶	3.1%	(/.f64 a2 #s(literal -2 binary64))
	2.9%	(/.f64 a1 #s(literal -2 binary64))
	4.8%	(+.f64 (+.f64 a2 #s(literal 3 binary64)) a1)
✓	5.3%	(+.f64 a2 a1)
	14.3%	(+.f64 a1 (*.f64 (neg.f64 a2) a2))
✓	21.4%	(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 th #s(literal 2 binary64)))) #s(literal -2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
▶	99.6%	(.f64 (/.f64 (expm1.f64 (log1p.f64 (cos.f64 th))) (sqrt.f64 #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)))
	21.1%	(.f64 (/.f64 #s(literal 2 binary64) #s(literal -2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	64.7%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	44.9%	(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
✓	99.7%	(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	99.5%	(.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)))
	16.0%	(.f64 (.f64 (cos.f64 th) a1) a1)
	60.6%	(.f64 (.f64 #s(literal 3/4 binary64) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
▶	64.8%	(.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)))
✓	99.6%	(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
	58.4%	(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	99.4%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
	76.0%	(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))))
	3.4%	(*.f64 a2 #s(literal -2 binary64))
▶	44.9%	(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	5.3%	a2
▶	3.7%	a1

Compiler

Compiled 525 to 376 computations (28.4% saved)

simplify81.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	cost-diff	0	(*.f64 a2 a2)
	cost-diff	0	(*.f64 a1 a1)
	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	-6272	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	cost-diff	-6144	(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	cost-diff	0	(*.f64 a2 a2)
	cost-diff	0	(*.f64 a1 a1)
✓	cost-diff	0	(/.f64 a2 #s(literal -2 binary64))
✓	cost-diff	0	(log1p.f64 (cos.f64 th))
✓	cost-diff	6528	(.f64 (/.f64 (expm1.f64 (log1p.f64 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	cost-diff	12800	(expm1.f64 (log1p.f64 (cos.f64 th)))
✓	cost-diff	12800	(/.f64 (expm1.f64 (log1p.f64 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))

Rules

942×	`div-sub`
666×	`fmm-def`
579×	`distribute-lft-in`
547×	`associate--r+`
502×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	411
1	62	411
2	141	403
3	252	379
4	614	379
5	1832	379
6	3727	379
7	7312	379

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (/.f64 (expm1.f64 (log1p.f64 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (expm1.f64 (log1p.f64 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 th)))
(log1p.f64 (cos.f64 th))
(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
a1
(/.f64 a2 #s(literal -2 binary64))
a2
#s(literal -2 binary64)
(.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 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(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

Outputs
(.f64 (/.f64 (expm1.f64 (log1p.f64 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (expm1.f64 (log1p.f64 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(.f64 (/.f64 (+.f64 (cos.f64 th) #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.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 (expm1.f64 (log1p.f64 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (+.f64 (cos.f64 th) #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 th)))
(+.f64 (cos.f64 th) #s(literal 0 binary64))
(cos.f64 th)
(log1p.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log1p.f64 (cos.f64 th)))
(+.f64 (cos.f64 th) #s(literal 0 binary64))
th
(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
a1
(/.f64 a2 #s(literal -2 binary64))
(*.f64 a2 #s(literal -1/2 binary64))
a2
#s(literal -2 binary64)
(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a1 a1 (*.f64 a2 a2))
#s(literal 1 binary64)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(*.f64 a1 a1)
a1
(*.f64 a2 a2)
a2

localize90.0ms (1.3%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 a2 a2)
	accuracy	100.0%	(*.f64 a1 a1)
	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	99.6%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 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%	(/.f64 a2 #s(literal -2 binary64))
✓	accuracy	99.7%	(expm1.f64 (log1p.f64 (cos.f64 th)))
✓	accuracy	99.7%	(.f64 (/.f64 (expm1.f64 (log1p.f64 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	accuracy	99.6%	(log1p.f64 (cos.f64 th))
✓	accuracy	99.0%	(/.f64 (expm1.f64 (log1p.f64 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))

Samples

60.0ms

256×

valid

Compiler

Compiled 111 to 22 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 9.0ms (29% of total)

ival-cos: 7.0ms (22.5% of total)

ival-log1p: 4.0ms (12.9% of total)

ival-sqrt: 4.0ms (12.9% of total)

ival-div: 3.0ms (9.7% of total)

ival-expm1: 2.0ms (6.4% of total)

ival-add: 1.0ms (3.2% of total)

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

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series72.0ms (1.1%)

Counts

8 → 156

Calls

Call 1

Inputs
#<alt (/.f64 (expm1.f64 (log1p.f64 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (expm1.f64 (log1p.f64 (cos.f64 th)))>
#<alt (.f64 (/.f64 (expm1.f64 (log1p.f64 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))>
#<alt (log1p.f64 (cos.f64 th))>
#<alt (/.f64 a2 #s(literal -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 (sqrt.f64 #s(literal 1/2 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 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 th #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt (cos.f64 th)>
#<alt (cos.f64 th)>
#<alt (cos.f64 th)>
#<alt (cos.f64 th)>
#<alt (cos.f64 th)>
#<alt (cos.f64 th)>
#<alt (cos.f64 th)>
#<alt (cos.f64 th)>
#<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 (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 th #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/96 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/4 binary64))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/1440 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/96 binary64))) #s(literal 1/4 binary64))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 th)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 th)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 th)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 th)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 th)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 th)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 th)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 th)))>
#<alt (*.f64 #s(literal -1/2 binary64) a2)>
#<alt (*.f64 #s(literal -1/2 binary64) a2)>
#<alt (*.f64 #s(literal -1/2 binary64) a2)>
#<alt (*.f64 #s(literal -1/2 binary64) a2)>
#<alt (*.f64 #s(literal -1/2 binary64) a2)>
#<alt (*.f64 #s(literal -1/2 binary64) a2)>
#<alt (*.f64 #s(literal -1/2 binary64) a2)>
#<alt (*.f64 #s(literal -1/2 binary64) a2)>
#<alt (*.f64 #s(literal -1/2 binary64) a2)>
#<alt (*.f64 #s(literal -1/2 binary64) a2)>
#<alt (*.f64 #s(literal -1/2 binary64) a2)>
#<alt (*.f64 #s(literal -1/2 binary64) a2)>
#<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 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (+.f64 (.f64 (pow.f64 a1 #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))))>
#<alt (+.f64 (.f64 (pow.f64 a1 #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))))>
#<alt (+.f64 (.f64 (pow.f64 a1 #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))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (+.f64 (.f64 (pow.f64 a1 #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))))>
#<alt (+.f64 (.f64 (pow.f64 a1 #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))))>
#<alt (+.f64 (.f64 (pow.f64 a1 #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))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))>

Calls

39 calls:

Time	Variable		Point	Expression
45.0ms	th	@	inf	(log (+ 1 (cos th)))
14.0ms	th	@	-inf	(log (+ 1 (cos th)))
3.0ms	a2	@	inf	(/ a2 -2)
1.0ms	th	@	0	(log (+ 1 (cos th)))
0.0ms	th	@	0	(* (/ (- (exp (log (+ 1 (cos th)))) 1) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))

rewrite184.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

968×	`log1p-expm1-u`
967×	`expm1-log1p-u`
183×	`fmm-def`
148×	`add-cube-cbrt`
146×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	177
1	355	157
2	4569	157

Stop Event

1×	node limit

Counts

8 → 248

Calls

Call 1

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

simplify255.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

481×	`associate-l`
449×	`associate-r`
309×	`fmm-def`
299×	`cube-prod`
297×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	576	14936
1	1352	13737
2	5568	13737

Stop Event

1×	node limit

Counts

404 → 324

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

eval86.0ms (1.3%)

Compiler: Compiled 7 603 to 1 217 computations (84% saved)

prune105.0ms (1.6%)

Pruning

28 alts after pruning (18 fresh and 10 done)

	Pruned	Kept	Total
New	450	6	456
Fresh	3	12	15
Picked	1	4	5
Done	1	6	7
Total	455	28	483

Accuracy

100.0%

Counts

483 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.7%	(pow.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (hypot.f64 a1 a2)) #s(literal 2 binary64))
	44.9%	(pow.f64 a2 #s(literal 2 binary64))
	13.6%	(pow.f64 a1 #s(literal 2 binary64))
	64.7%	(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
	99.4%	(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
✓	3.1%	(/.f64 a2 #s(literal -2 binary64))
	2.9%	(/.f64 a1 #s(literal -2 binary64))
	4.8%	(+.f64 (+.f64 a2 #s(literal 3 binary64)) a1)
✓	5.3%	(+.f64 a2 a1)
	14.3%	(+.f64 a1 (*.f64 (neg.f64 a2) a2))
	99.5%	(.f64 (/.f64 (-.f64 (+.f64 (cos.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	21.4%	(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 th #s(literal 2 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)))
	21.1%	(.f64 (/.f64 #s(literal 2 binary64) #s(literal -2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	64.7%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	44.9%	(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
	99.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	99.7%	(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	60.6%	(.f64 (.f64 #s(literal 3/4 binary64) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	64.8%	(.f64 (sqrt.f64 #s(literal 1/2 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))))
	58.4%	(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	99.4%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
	3.4%	(*.f64 a2 #s(literal -2 binary64))
✓	44.9%	(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	51.5%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))))
	5.3%	a2
✓	3.7%	a1

Compiler

Compiled 709 to 333 computations (53% saved)

regimes160.0ms (2.4%)

Counts

45 → 1

Calls

Call 1

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

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

Calls

8 calls:

62.0ms	(+.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)))
15.0ms	a2
14.0ms	a1
14.0ms	th
14.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
99.7%	1	`a1`
99.7%	1	`a2`
99.7%	1	`th`
99.7%	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)))`
99.7%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.7%	1	`(cos.f64 th)`
99.7%	1	`(*.f64 a1 a1)`
99.7%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes55.0ms (0.8%)

Counts

27 → 2

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(literal 3/4 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

6 calls:

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

Results

Accuracy	Segments	Branch
68.9%	2	`a1`
74.9%	2	`a2`
79.0%	2	`th`
79.2%	2	`(cos.f64 th)`
68.9%	2	`(*.f64 a1 a1)`
74.9%	2	`(*.f64 a2 a2)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes16.0ms (0.2%)

Counts

22 → 2

Calls

Call 1

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

2 calls:

8.0ms	(cos.f64 th)
7.0ms	th

Results

Accuracy	Segments	Branch
78.0%	2	`th`
78.2%	2	`(cos.f64 th)`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes45.0ms (0.7%)

Counts

21 → 1

Calls

Call 1

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

8.0ms	a1
8.0ms	(cos.f64 th)
8.0ms	(*.f64 a2 a2)
7.0ms	a2
7.0ms	th

Results

Accuracy	Segments	Branch
58.4%	1	`(*.f64 a1 a1)`
58.4%	1	`a1`
58.4%	1	`a2`
58.4%	1	`(*.f64 a2 a2)`
58.4%	1	`th`
58.4%	1	`(cos.f64 th)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes44.0ms (0.7%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

6 calls:

9.0ms	a2
8.0ms	(cos.f64 th)
7.0ms	th
6.0ms	a1
6.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
46.9%	2	`a1`
44.9%	1	`a2`
44.9%	1	`(*.f64 a2 a2)`
57.9%	2	`(cos.f64 th)`
46.9%	2	`(*.f64 a1 a1)`
46.9%	2	`th`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes8.0ms (0.1%)

Counts

16 → 2

Calls

Call 1

Inputs
a1
a2
(*.f64 a2 #s(literal -2 binary64))
(+.f64 a2 a1)
(-.f64 a1 a2)
(/.f64 a1 #s(literal -2 binary64))
(/.f64 a2 #s(literal -2 binary64))
(-.f64 (neg.f64 a2) a1)
(+.f64 (+.f64 a2 #s(literal 3 binary64)) a1)
(-.f64 (*.f64 a1 #s(literal -2 binary64)) a2)
(/.f64 (+.f64 a2 a1) #s(literal -2 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 #s(literal 2 binary64) #s(literal -2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(pow.f64 a1 #s(literal 2 binary64))

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

Calls

1 calls:

7.0ms

th

Results

Accuracy	Segments	Branch
46.9%	2	`th`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes16.0ms (0.2%)

Counts

14 → 3

Calls

Call 1

Inputs
a1
a2
(*.f64 a2 #s(literal -2 binary64))
(+.f64 a2 a1)
(-.f64 a1 a2)
(/.f64 a1 #s(literal -2 binary64))
(/.f64 a2 #s(literal -2 binary64))
(-.f64 (neg.f64 a2) a1)
(+.f64 (+.f64 a2 #s(literal 3 binary64)) a1)
(-.f64 (*.f64 a1 #s(literal -2 binary64)) a2)
(/.f64 (+.f64 a2 a1) #s(literal -2 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

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

Calls

3 calls:

5.0ms	a1
5.0ms	th
4.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
44.9%	1	`a1`
44.9%	1	`(*.f64 a1 a1)`
48.3%	3	`th`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes5.0ms (0.1%)

Counts

13 → 3

Calls

Call 1

Inputs
a1
a2
(*.f64 a2 #s(literal -2 binary64))
(+.f64 a2 a1)
(-.f64 a1 a2)
(/.f64 a1 #s(literal -2 binary64))
(/.f64 a2 #s(literal -2 binary64))
(-.f64 (neg.f64 a2) a1)
(+.f64 (+.f64 a2 #s(literal 3 binary64)) a1)
(-.f64 (*.f64 a1 #s(literal -2 binary64)) a2)
(/.f64 (+.f64 a2 a1) #s(literal -2 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))

Outputs
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))

Calls

1 calls:

5.0ms

th

Results

Accuracy	Segments	Branch
48.3%	3	`th`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.2%)

Counts

12 → 2

Calls

Call 1

Inputs
a1
a2
(*.f64 a2 #s(literal -2 binary64))
(+.f64 a2 a1)
(-.f64 a1 a2)
(/.f64 a1 #s(literal -2 binary64))
(/.f64 a2 #s(literal -2 binary64))
(-.f64 (neg.f64 a2) a1)
(+.f64 (+.f64 a2 #s(literal 3 binary64)) a1)
(-.f64 (*.f64 a1 #s(literal -2 binary64)) a2)
(/.f64 (+.f64 a2 a1) #s(literal -2 binary64))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))

Outputs
(+.f64 a2 a1)
(+.f64 a1 (*.f64 (neg.f64 a2) a2))

Calls

3 calls:

5.0ms	a2
4.0ms	th
4.0ms	a1

Results

Accuracy	Segments	Branch
14.3%	1	`a1`
14.3%	1	`a2`
16.6%	2	`th`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes16.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

Inputs
a1
a2
(*.f64 a2 #s(literal -2 binary64))
(+.f64 a2 a1)
(-.f64 a1 a2)
(/.f64 a1 #s(literal -2 binary64))
(/.f64 a2 #s(literal -2 binary64))
(-.f64 (neg.f64 a2) a1)
(+.f64 (+.f64 a2 #s(literal 3 binary64)) a1)
(-.f64 (*.f64 a1 #s(literal -2 binary64)) a2)
(/.f64 (+.f64 a2 a1) #s(literal -2 binary64))

Outputs
a2

Calls

3 calls:

7.0ms	a1
4.0ms	a2
4.0ms	th

Results

Accuracy	Segments	Branch
5.3%	1	`a2`
5.3%	1	`a1`
5.3%	1	`th`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
a1

Outputs
a1

Calls

3 calls:

1.0ms	a2
1.0ms	th
1.0ms	a1

Results

Accuracy	Segments	Branch
3.7%	1	`th`
3.7%	1	`a1`
3.7%	1	`a2`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.8848169657790328	0.8864026960933503

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch4.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	0.6458797549755141	0.7102590352584046

Samples

2.0ms

32×

valid

Compiler

Compiled 78 to 54 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult: 1.0ms (71.6% of total)

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

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

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

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

bsearch66.0ms (1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	-0.01878429104159051	0.015870744024705345

Samples

18.0ms

240×

valid

Compiler

Compiled 354 to 273 computations (22.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 5.0ms (45.6% of total)

ival-div: 2.0ms (18.2% of total)

ival-sqrt: 2.0ms (18.2% of total)

ival-add: 1.0ms (9.1% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.3307078313348909e+167	1.382206988696539e+168

Samples

11.0ms

96×

valid

Compiler

Compiled 193 to 138 computations (28.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-cos: 4.0ms (49.4% of total)

ival-mult: 2.0ms (24.7% of total)

ival-div: 1.0ms (12.3% of total)

ival-sqrt: 1.0ms (12.3% of total)

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

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

bsearch86.0ms (1.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	5.762016003341307e+216	1.0854084675351282e+220
50.0ms	1.382206988696539e+168	1.1372134180800744e+169

Samples

76.0ms

224×

valid

Compiler

Compiled 347 to 242 computations (30.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-cos: 44.0ms (83.1% of total)

ival-mult: 5.0ms (9.4% of total)

ival-sqrt: 2.0ms (3.8% of total)

ival-div: 1.0ms (1.9% of total)

ival-add: 1.0ms (1.9% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

bsearch121.0ms (1.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
58.0ms	5.762016003341307e+216	1.0854084675351282e+220
61.0ms	1.382206988696539e+168	1.1372134180800744e+169

Samples

71.0ms

224×

valid

Compiler

Compiled 319 to 200 computations (37.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 52.0ms (81.4% of total)

ival-cos: 8.0ms (12.5% of total)

ival-sqrt: 2.0ms (3.1% of total)

ival-div: 1.0ms (1.6% of total)

ival-add: 1.0ms (1.6% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.581479200096272	3.194917606935203

Samples

10.0ms

96×

valid

Compiler

Compiled 127 to 90 computations (29.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-cos: 3.0ms (44.1% of total)

ival-mult: 2.0ms (29.4% of total)

ival-div: 1.0ms (14.7% of total)

ival-sqrt: 1.0ms (14.7% of total)

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

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

simplify20.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative`
8×	`+-commutative`
6×	`sub-neg`
6×	`neg-sub0`
5×	`neg-mul-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	62	680
1	93	668
2	107	668
3	120	668
4	129	668
5	132	668
6	133	668

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(if (<=.f64 (cos.f64 th) #s(literal 3985685670222889/4503599627370496 binary64)) (.f64 (.f64 #s(literal 3/4 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 3152519739159347/4503599627370496 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)))
(if (<=.f64 (cos.f64 th) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (/.f64 #s(literal 2 binary64) #s(literal -2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (pow.f64 a2 #s(literal 2 binary64)))
(if (<=.f64 th #s(literal 419999999999999984791227764913234097046867526718719982328816442174603063229672385491944599884205588563541267463345342479131406991477494048571637708469475344129187643392 binary64)) (.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 #s(literal 2 binary64) #s(literal -2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(if (<=.f64 th #s(literal 1549999999999999981282566555992842444014179074253552150594160253279394613156644677080848458483229823126631923172679131349785153926377277665544928258041841522326603038720 binary64)) (.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (if (<=.f64 th #s(literal 190000000000000005907175163524475327929139502407155217589411646598235166173363601668047532944660557579366311373813705728664721737906759678344658977081394183349910543018855176776177087335276939833874371131206816386514944 binary64)) (+.f64 a1 (.f64 (neg.f64 a2) a2)) (.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(if (<=.f64 th #s(literal 1549999999999999981282566555992842444014179074253552150594160253279394613156644677080848458483229823126631923172679131349785153926377277665544928258041841522326603038720 binary64)) (.f64 (+.f64 a2 a1) (+.f64 a2 a1)) (if (<=.f64 th #s(literal 190000000000000005907175163524475327929139502407155217589411646598235166173363601668047532944660557579366311373813705728664721737906759678344658977081394183349910543018855176776177087335276939833874371131206816386514944 binary64)) (+.f64 a1 (.f64 (neg.f64 a2) a2)) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1))))
(if (<=.f64 th #s(literal 3602879701896397/2251799813685248 binary64)) (+.f64 a2 a1) (+.f64 a1 (*.f64 (neg.f64 a2) a2)))
a2
a1

Outputs
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(if (<=.f64 (cos.f64 th) #s(literal 3985685670222889/4503599627370496 binary64)) (.f64 (.f64 #s(literal 3/4 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 3985685670222889/4503599627370496 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (cos.f64 th) #s(literal 3/4 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(if (<=.f64 (cos.f64 th) #s(literal 3152519739159347/4503599627370496 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)))
(if (<=.f64 (cos.f64 th) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (/.f64 #s(literal 2 binary64) #s(literal -2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (pow.f64 a2 #s(literal 2 binary64)))
(if (<=.f64 (cos.f64 th) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (pow.f64 a2 #s(literal 2 binary64)))
(if (<=.f64 (cos.f64 th) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (.f64 a2 (neg.f64 a2)) (.f64 a1 a1)) (pow.f64 a2 #s(literal 2 binary64)))
(if (<=.f64 th #s(literal 419999999999999984791227764913234097046867526718719982328816442174603063229672385491944599884205588563541267463345342479131406991477494048571637708469475344129187643392 binary64)) (.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 #s(literal 2 binary64) #s(literal -2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(if (<=.f64 th #s(literal 419999999999999984791227764913234097046867526718719982328816442174603063229672385491944599884205588563541267463345342479131406991477494048571637708469475344129187643392 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (neg.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(if (<=.f64 th #s(literal 419999999999999984791227764913234097046867526718719982328816442174603063229672385491944599884205588563541267463345342479131406991477494048571637708469475344129187643392 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a2 (neg.f64 a2)) (.f64 a1 a1)))
(if (<=.f64 th #s(literal 1549999999999999981282566555992842444014179074253552150594160253279394613156644677080848458483229823126631923172679131349785153926377277665544928258041841522326603038720 binary64)) (.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (if (<=.f64 th #s(literal 190000000000000005907175163524475327929139502407155217589411646598235166173363601668047532944660557579366311373813705728664721737906759678344658977081394183349910543018855176776177087335276939833874371131206816386514944 binary64)) (+.f64 a1 (.f64 (neg.f64 a2) a2)) (.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(if (or (<=.f64 th #s(literal 1549999999999999981282566555992842444014179074253552150594160253279394613156644677080848458483229823126631923172679131349785153926377277665544928258041841522326603038720 binary64)) (not (<=.f64 th #s(literal 190000000000000005907175163524475327929139502407155217589411646598235166173363601668047532944660557579366311373813705728664721737906759678344658977081394183349910543018855176776177087335276939833874371131206816386514944 binary64)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 a1 (*.f64 a2 (neg.f64 a2))))
(if (or (<=.f64 th #s(literal 1549999999999999981282566555992842444014179074253552150594160253279394613156644677080848458483229823126631923172679131349785153926377277665544928258041841522326603038720 binary64)) (not (<=.f64 th #s(literal 190000000000000005907175163524475327929139502407155217589411646598235166173363601668047532944660557579366311373813705728664721737906759678344658977081394183349910543018855176776177087335276939833874371131206816386514944 binary64)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 a1 (*.f64 a2 a2)))
(if (<=.f64 th #s(literal 1549999999999999981282566555992842444014179074253552150594160253279394613156644677080848458483229823126631923172679131349785153926377277665544928258041841522326603038720 binary64)) (.f64 (+.f64 a2 a1) (+.f64 a2 a1)) (if (<=.f64 th #s(literal 190000000000000005907175163524475327929139502407155217589411646598235166173363601668047532944660557579366311373813705728664721737906759678344658977081394183349910543018855176776177087335276939833874371131206816386514944 binary64)) (+.f64 a1 (.f64 (neg.f64 a2) a2)) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1))))
(if (or (<=.f64 th #s(literal 1549999999999999981282566555992842444014179074253552150594160253279394613156644677080848458483229823126631923172679131349785153926377277665544928258041841522326603038720 binary64)) (not (<=.f64 th #s(literal 190000000000000005907175163524475327929139502407155217589411646598235166173363601668047532944660557579366311373813705728664721737906759678344658977081394183349910543018855176776177087335276939833874371131206816386514944 binary64)))) (.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (+.f64 a1 (.f64 a2 (neg.f64 a2))))
(if (or (<=.f64 th #s(literal 1549999999999999981282566555992842444014179074253552150594160253279394613156644677080848458483229823126631923172679131349785153926377277665544928258041841522326603038720 binary64)) (not (<=.f64 th #s(literal 190000000000000005907175163524475327929139502407155217589411646598235166173363601668047532944660557579366311373813705728664721737906759678344658977081394183349910543018855176776177087335276939833874371131206816386514944 binary64)))) (.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (-.f64 a1 (.f64 a2 a2)))
(if (<=.f64 th #s(literal 3602879701896397/2251799813685248 binary64)) (+.f64 a2 a1) (+.f64 a1 (*.f64 (neg.f64 a2) a2)))
(if (<=.f64 th #s(literal 3602879701896397/2251799813685248 binary64)) (+.f64 a1 a2) (+.f64 a1 (*.f64 a2 (neg.f64 a2))))
(if (<=.f64 th #s(literal 3602879701896397/2251799813685248 binary64)) (+.f64 a1 a2) (-.f64 a1 (*.f64 a2 a2)))
a2
a1

soundness740.0ms (11.1%)

Rules

1 241×	`fma-define`
937×	`prod-diff`
808×	`log1p-expm1-u`
732×	`expm1-log1p-u`
680×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	193
1	301	173
2	3735	173
0	36	382
1	578	382
0	443	18094
1	1122	16830
2	3779	16249
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×	fuel
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 501 to 172 computations (65.7% saved)

preprocess84.0ms (1.3%)

Remove

(sort a1 a2)

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 766 to 382 computations (50.1% saved)

analyze0.0ms (0%)

sample1.4s (21.6%)

preprocess188.0ms (2.8%)

explain260.0ms (3.9%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify15.0ms (0.2%)

localize60.0ms (0.9%)

series25.0ms (0.4%)

rewrite278.0ms (4.2%)

simplify201.0ms (3%)

eval40.0ms (0.6%)

prune66.0ms (1%)

simplify178.0ms (2.7%)

localize141.0ms (2.1%)

series25.0ms (0.4%)

rewrite72.0ms (1.1%)

simplify212.0ms (3.2%)

eval85.0ms (1.3%)

prune124.0ms (1.8%)

simplify70.0ms (1%)

localize134.0ms (2%)

series24.0ms (0.4%)

rewrite204.0ms (3.1%)

simplify217.0ms (3.2%)

eval119.0ms (1.8%)

prune91.0ms (1.4%)

simplify81.0ms (1.2%)

localize90.0ms (1.3%)

series72.0ms (1.1%)

rewrite184.0ms (2.8%)

simplify255.0ms (3.8%)

eval86.0ms (1.3%)

prune105.0ms (1.6%)

regimes160.0ms (2.4%)

regimes55.0ms (0.8%)

regimes16.0ms (0.2%)

regimes45.0ms (0.7%)

regimes44.0ms (0.7%)

regimes8.0ms (0.1%)

regimes16.0ms (0.2%)

regimes5.0ms (0.1%)

regimes14.0ms (0.2%)

regimes16.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch4.0ms (0.1%)

bsearch66.0ms (1%)

bsearch16.0ms (0.2%)

bsearch86.0ms (1.3%)

bsearch121.0ms (1.8%)

bsearch14.0ms (0.2%)

simplify20.0ms (0.3%)

soundness740.0ms (11.1%)

preprocess84.0ms (1.3%)

end0.0ms (0%)

Profiling