Metrics for Toniolo and Linder, Equation (3b), real

analyze351.0ms (2.8%)

Memory

-11.2MiB live, 390.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	6
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	7
53.1%	53%	46.8%	0.1%	0%	0%	0%	8
60.9%	60.8%	39%	0.1%	0%	0%	0%	9
60.9%	60.8%	39%	0.1%	0%	0%	0%	10
64.8%	64.7%	35.1%	0.1%	0%	0%	0%	11
68.4%	68.3%	31.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample1.7s (13.5%)

Memory

22.5MiB live, 3 072.6MiB allocated

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-sin: 675.0ms (64% of total)

ival-pow2: 158.0ms (15% of total)

ival-div: 61.0ms (5.8% of total)

ival-sqrt: 58.0ms (5.5% of total)

ival-mult: 55.0ms (5.2% of total)

ival-add: 39.0ms (3.7% of total)

ival-true: 6.0ms (0.6% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess180.0ms (1.5%)

Memory

24.4MiB live, 103.1MiB allocated

Algorithm

1×	egg-herbie

Rules

968×	`fma-define`
307×	`fmm-def`
183×	`unsub-neg`
181×	`times-frac`
171×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	717
1	111	529
2	240	529
3	420	529
4	939	529
5	2219	529
6	3228	529
7	3753	529
8	4121	529
9	4212	529
10	4251	529
11	4251	529

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (neg.f64 kx)) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 (neg.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 (neg.f64 ky)) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 (neg.f64 th)))
(neg.f64 (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (neg.f64 kx)) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)))
(neg.f64 (*.f64 (/.f64 (sin.f64 (neg.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 (neg.f64 ky)) #s(literal 2 binary64))))) (sin.f64 th)))
(neg.f64 (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 (neg.f64 th))))
(*.f64 (/.f64 (sin.f64 kx) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 th) #s(literal 2 binary64))))) (sin.f64 ky))

Outputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (neg.f64 kx)) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 (neg.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 (neg.f64 ky)) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (neg.f64 (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 (neg.f64 th)))
(*.f64 (sin.f64 th) (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (neg.f64 (sin.f64 th)))
(neg.f64 (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (neg.f64 kx)) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (neg.f64 (sin.f64 th)))
(neg.f64 (*.f64 (/.f64 (sin.f64 (neg.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 (neg.f64 ky)) #s(literal 2 binary64))))) (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(neg.f64 (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 (neg.f64 th))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 kx) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 kx))
(*.f64 (sin.f64 kx) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 th) #s(literal 2 binary64))))))
(*.f64 (sin.f64 kx) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (hypot.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 th) #s(literal 2 binary64))))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 th) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 th)))

Symmetry

(abs kx)

(negabs ky)

(negabs th)

explain203.0ms (1.6%)

Memory

-29.2MiB live, 339.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
19	-	2	(1.7499409543487177e-287 2.102978157846583e-161 6.9170340348491845e-205)	`(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`
0	-	0	-	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`
0	-	0	-	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
0	-	0	-	`(sin.f64 kx)`
0	-	0	-	`(sin.f64 th)`
0	-	0	-	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
0	-	0	-	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
0	-	0	-	`th`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
0	-	0	-	`(sin.f64 ky)`
0	-	0	-	`ky`
0	-	0	-	`kx`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`	uflow-rescue	17	0
↳	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`	underflow	67
↳	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`	underflow	56
↳	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`	underflow	17

Confusion

	Predicted +	Predicted -
+	17	2
-	0	237

Precision

1.0

Recall

0.8947368421052632

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	17	0	2
-	0	0	237

Precision?

1.0

Recall?

0.8947368421052632

Freqs

test

number	freq
0	239
1	17

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

76.0ms

512×

valid

Compiler

Compiled 174 to 56 computations (67.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-sin: 31.0ms (55.9% of total)

ival-pow2: 10.0ms (18% of total)

ival-mult: 5.0ms (9% of total)

ival-sqrt: 4.0ms (7.2% of total)

ival-div: 3.0ms (5.4% of total)

ival-add: 2.0ms (3.6% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

eval0.0ms (0%)

Memory: 1.0MiB live, 1.0MiB allocated
Compiler: Compiled 14 to 9 computations (35.7% saved)

prune1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.8%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
▶	99.7%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

Status

Accuracy

Program

▶

92.8%

(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))

▶

99.7%

(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

Compiler

Compiled 33 to 22 computations (33.3% saved)

simplify9.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	12992	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
✓	cost-diff	12992	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
✓	cost-diff	12992	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
✓	cost-diff	0	(sin.f64 th)
✓	cost-diff	0	(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

Rules

3×	`*-commutative`
2×	`unpow2`
2×	`fma-define`
2×	`associate-*r/`
1×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	338
1	34	338
2	40	338

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(sin.f64 ky)
ky
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin.f64 th)
th
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
kx
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sin.f64 ky)
ky
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sin.f64 kx)
kx
#s(literal 2 binary64)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sin.f64 th)
th

Outputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(sin.f64 ky)
ky
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin.f64 th)
th
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
kx
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin.f64 ky)
ky
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sin.f64 kx)
kx
#s(literal 2 binary64)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sin.f64 th)
th

localize74.0ms (0.6%)

Memory

25.3MiB live, 134.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
✓	accuracy	99.6%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	accuracy	99.6%	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
✓	accuracy	93.2%	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	100.0%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	accuracy	99.7%	(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	accuracy	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

Samples

50.0ms

256×

valid

Compiler

Compiled 101 to 18 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-sin: 16.0ms (48.3% of total)

ival-hypot: 4.0ms (12.1% of total)

ival-pow2: 4.0ms (12.1% of total)

ival-div: 3.0ms (9.1% of total)

ival-mult: 3.0ms (9.1% of total)

ival-sqrt: 2.0ms (6% of total)

ival-add: 1.0ms (3% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

series59.0ms (0.5%)

Memory

-13.8MiB live, 107.2MiB allocated

Counts

11 → 184

Calls

Call 1

Inputs
#s(alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())
#s(alt (sin.f64 ky) (patch) () ())
#s(alt (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (patch) () ())
#s(alt (sin.f64 th) (patch) () ())
#s(alt (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) (patch) () ())
#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (patch) () ())
#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch) () ())
#s(alt (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (patch) () ())
#s(alt (sin.f64 kx) (patch) () ())
#s(alt (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (patch) () ())
#s(alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (patch) () ())

Outputs
#s(alt (/.f64 (.f64 ky (sin.f64 th)) (sin.f64 kx)) (taylor () 0 ky) (#s(alt (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())) ())
#s(alt (.f64 ky (+.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx)))) (taylor () 0 ky) (#s(alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())) ())
#s(alt (.f64 ky (+.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx)))) (taylor () 0 ky) (#s(alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())) ())
#s(alt (.f64 ky (+.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx)))) (taylor () 0 ky) (#s(alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () inf ky) (#s(alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () inf ky) (#s(alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () inf ky) (#s(alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () inf ky) (#s(alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () -inf ky) (#s(alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () -inf ky) (#s(alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () -inf ky) (#s(alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () -inf ky) (#s(alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())) ())
#s(alt (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () 0 th) (#s(alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())) ())
#s(alt (.f64 th (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))) (taylor () 0 th) (#s(alt (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())) ())
#s(alt (.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))) (taylor () 0 th) (#s(alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())) ())
#s(alt (.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))))) (taylor () 0 th) (#s(alt (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () inf th) (#s(alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () inf th) (#s(alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () inf th) (#s(alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () inf th) (#s(alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () -inf th) (#s(alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () -inf th) (#s(alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () -inf th) (#s(alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () -inf th) (#s(alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())) ())
#s(alt (sin.f64 th) (taylor () 0 kx) (#s(alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())) ())
#s(alt (+.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (taylor () 0 kx) (#s(alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())) ())
#s(alt (+.f64 (sin.f64 th) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))) (taylor () 0 kx) (#s(alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())) ())
#s(alt (+.f64 (sin.f64 th) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))))))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))))) (taylor () 0 kx) (#s(alt (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () inf kx) (#s(alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () inf kx) (#s(alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () inf kx) (#s(alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () inf kx) (#s(alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () -inf kx) (#s(alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (patch) () ())) ())
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#s(alt (+.f64 (sin.f64 kx) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 kx)))) (taylor () 0 ky) (#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (+.f64 (sin.f64 kx) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 kx))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))) (taylor () 0 ky) (#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (+.f64 (sin.f64 kx) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 kx))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))) (taylor () 0 ky) (#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (sin.f64 kx) (taylor () 0 ky) (#s(alt (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (patch) () ())) ())
#s(alt (+.f64 (sin.f64 kx) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 kx)))) (taylor () 0 ky) (#s(alt (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (patch) () ())) ())
#s(alt (+.f64 (sin.f64 kx) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 kx))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))) (taylor () 0 ky) (#s(alt (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (patch) () ())) ())
#s(alt (+.f64 (sin.f64 kx) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 kx))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))) (taylor () 0 ky) (#s(alt (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (patch) () ())) ())
#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (taylor () inf ky) (#s(alt (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (patch) () ())) ())
#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (taylor () inf ky) (#s(alt (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (patch) () ())) ())
#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (taylor () inf ky) (#s(alt (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (patch) () ())) ())
#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (taylor () inf ky) (#s(alt (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (patch) () ())) ())
#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (taylor () -inf ky) (#s(alt (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (patch) () ())) ())
#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (taylor () -inf ky) (#s(alt (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (patch) () ())) ())
#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (taylor () -inf ky) (#s(alt (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (patch) () ())) ())
#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (taylor () -inf ky) (#s(alt (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (patch) () ())) ())
#s(alt (sin.f64 ky) (taylor () 0 kx) (#s(alt (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (patch) () ())) ())
#s(alt (+.f64 (sin.f64 ky) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 ky)))) (taylor () 0 kx) (#s(alt (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (patch) () ())) ())
#s(alt (+.f64 (sin.f64 ky) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 ky))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))) (taylor () 0 kx) (#s(alt (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (patch) () ())) ())
#s(alt (+.f64 (sin.f64 ky) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 ky))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))) (taylor () 0 kx) (#s(alt (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (patch) () ())) ())
#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (taylor () inf kx) (#s(alt (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (patch) () ())) ())
#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (taylor () inf kx) (#s(alt (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (patch) () ())) ())
#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (taylor () inf kx) (#s(alt (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (patch) () ())) ())
#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (taylor () inf kx) (#s(alt (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (patch) () ())) ())
#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (taylor () -inf kx) (#s(alt (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (patch) () ())) ())
#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (taylor () -inf kx) (#s(alt (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (patch) () ())) ())
#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (taylor () -inf kx) (#s(alt (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (patch) () ())) ())
#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (taylor () -inf kx) (#s(alt (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (patch) () ())) ())
#s(alt kx (taylor () 0 kx) (#s(alt (sin.f64 kx) (patch) () ())) ())
#s(alt (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))) (taylor () 0 kx) (#s(alt (sin.f64 kx) (patch) () ())) ())
#s(alt (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64))))) (taylor () 0 kx) (#s(alt (sin.f64 kx) (patch) () ())) ())
#s(alt (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 kx #s(literal 2 binary64))))) #s(literal 1/6 binary64))))) (taylor () 0 kx) (#s(alt (sin.f64 kx) (patch) () ())) ())
#s(alt (pow.f64 kx #s(literal 2 binary64)) (taylor () 0 kx) (#s(alt (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (patch) () ())) ())
#s(alt (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 kx #s(literal 2 binary64))))) (taylor () 0 kx) (#s(alt (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (patch) () ())) ())
#s(alt (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/3 binary64))))) (taylor () 0 kx) (#s(alt (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (patch) () ())) ())
#s(alt (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/315 binary64) (pow.f64 kx #s(literal 2 binary64))))) #s(literal 1/3 binary64))))) (taylor () 0 kx) (#s(alt (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (patch) () ())) ())
#s(alt (pow.f64 ky #s(literal 2 binary64)) (taylor () 0 ky) (#s(alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (patch) () ())) ())
#s(alt (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 ky #s(literal 2 binary64))))) (taylor () 0 ky) (#s(alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (patch) () ())) ())
#s(alt (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1/3 binary64))))) (taylor () 0 ky) (#s(alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (patch) () ())) ())
#s(alt (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/315 binary64) (pow.f64 ky #s(literal 2 binary64))))) #s(literal 1/3 binary64))))) (taylor () 0 ky) (#s(alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (patch) () ())) ())

Calls

60 calls:

Time	Variable		Point	Expression
10.0ms	ky	@	0	(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
3.0ms	th	@	inf	(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
3.0ms	ky	@	-inf	(/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
3.0ms	ky	@	inf	(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
2.0ms	kx	@	inf	(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))

rewrite285.0ms (2.3%)

Memory

-6.4MiB live, 353.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

888×	`log1p-expm1-u`
806×	`expm1-log1p-u`
721×	`prod-diff`
128×	`add-exp-log`
128×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	256
1	341	256
2	3880	256

Stop Event

1×	node limit

Counts

11 → 283

Calls

Call 1

Inputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(sin.f64 ky)
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin.f64 th)
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))

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

simplify317.0ms (2.6%)

Memory

16.7MiB live, 326.1MiB allocated

Algorithm

1×	egg-herbie

Rules

564×	`fma-define`
521×	`times-frac`
476×	`*-commutative`
394×	`associate-/r*`
342×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	840	24259
1	2122	22959
2	7173	22959

Stop Event

1×	node limit

Counts

467 → 419

Calls

Call 1

Inputs
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(.f64 ky (+.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 ky (+.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 ky (+.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 th (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
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(sin.f64 th)
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ky
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(/.f64 (sin.f64 th) (sin.f64 kx))
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(/.f64 (sin.f64 th) (sin.f64 ky))
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th
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
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kx
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(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)))
(fabs.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 kx))) #s(literal 1 binary64))
(*.f64 (sin.f64 kx) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 kx))
(*.f64 (cbrt.f64 (sin.f64 kx)) (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 kx)))
(*.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(pow.f64 (sin.f64 kx) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(fabs.f64 (sin.f64 kx))
(log.f64 (exp.f64 (sin.f64 kx)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 kx))))
(cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 kx)))
(log1p.f64 (expm1.f64 (sin.f64 kx)))
(exp.f64 (log.f64 (sin.f64 kx)))
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sin.f64 kx) (sin.f64 kx))
(*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (cbrt.f64 (sin.f64 kx)) (sin.f64 kx)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (sin.f64 kx)) (.f64 (sqrt.f64 (sin.f64 kx)) (sin.f64 kx)))
(.f64 (.f64 (sin.f64 kx) (sqrt.f64 (sin.f64 kx))) (sqrt.f64 (sin.f64 kx)))
(.f64 (.f64 (sin.f64 kx) (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (cbrt.f64 (sin.f64 kx)))
(/.f64 (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sin.f64 ky) (sin.f64 ky))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (sin.f64 ky)) (sin.f64 ky)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (sin.f64 ky)) (.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))
(.f64 (.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 ky)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky ky)) (cos.f64 (+.f64 ky ky))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))) #s(literal 1 binary64)))

Outputs
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(.f64 ky (+.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 ky (+.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (.f64 (sin.f64 th) (sin.f64 kx))) (/.f64 (.f64 (sin.f64 th) #s(literal 1/12 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 ky (+.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))))) (fma.f64 #s(literal -1/12 binary64) (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (fma.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/5040 binary64)))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal 1/12 binary64) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))) (.f64 (sin.f64 th) (sin.f64 kx))) (fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (.f64 (sin.f64 th) (sin.f64 kx))) #s(literal -1/12 binary64) (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/240 binary64) (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/5040 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (.f64 (sin.f64 th) (sin.f64 kx))))))) (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
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kx
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(pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(fabs.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(*.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(fabs.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 kx))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sin.f64 kx)))
(*.f64 (sin.f64 kx) #s(literal 1 binary64))
(sin.f64 kx)
(*.f64 #s(literal 1 binary64) (sin.f64 kx))
(sin.f64 kx)
(*.f64 (cbrt.f64 (sin.f64 kx)) (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 kx)))
(*.f64 (cbrt.f64 (sin.f64 kx)) (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx)))
(sin.f64 kx)
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(pow.f64 (sin.f64 kx) #s(literal 1 binary64))
(sin.f64 kx)
(pow.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sin.f64 kx)
(pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 3 binary64))
(sin.f64 kx)
(pow.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sin.f64 kx)
(pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 2 binary64))
(sin.f64 kx)
(sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(sin.f64 kx)
(fabs.f64 (sin.f64 kx))
(sin.f64 kx)
(log.f64 (exp.f64 (sin.f64 kx)))
(sin.f64 kx)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 kx))))
(sin.f64 kx)
(cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))
(sin.f64 kx)
(expm1.f64 (log1p.f64 (sin.f64 kx)))
(log1p.f64 (expm1.f64 (sin.f64 kx)))
(sin.f64 kx)
(exp.f64 (log.f64 (sin.f64 kx)))
(sin.f64 kx)
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(sin.f64 kx)
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(*.f64 (sin.f64 kx) (sin.f64 kx))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (cbrt.f64 (sin.f64 kx)) (sin.f64 kx)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (sin.f64 kx) (cbrt.f64 (sin.f64 kx))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))
(.f64 (sqrt.f64 (sin.f64 kx)) (.f64 (sqrt.f64 (sin.f64 kx)) (sin.f64 kx)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 kx) (sqrt.f64 (sin.f64 kx))) (sqrt.f64 (sin.f64 kx)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 kx) (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (cbrt.f64 (sin.f64 kx)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (sin.f64 kx) (cbrt.f64 (sin.f64 kx))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 4 binary64)))
(/.f64 (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(*.f64 (sin.f64 ky) (sin.f64 ky))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (sin.f64 ky)) (sin.f64 ky)))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))
(.f64 (sqrt.f64 (sin.f64 ky)) (.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 ky)))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 ky)))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 ky ky)) (cos.f64 (+.f64 ky ky))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))) #s(literal 1 binary64)))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))

eval134.0ms (1.1%)

Memory: -11.2MiB live, 141.9MiB allocated
Compiler: Compiled 14 206 to 2 540 computations (82.1% saved)

prune109.0ms (0.9%)

Memory

30.3MiB live, 188.9MiB allocated

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	552	21	573
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	553	22	575

Accuracy

100.0%

Counts

575 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.5%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	27.4%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
▶	99.7%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
▶	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	99.1%	(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (sin.f64 th))
▶	83.8%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	31.9%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	29.6%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	99.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (sin.f64 th))
✓	99.7%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	62.5%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
	53.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
▶	32.2%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
	31.9%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	99.5%	(*.f64 (sin.f64 ky) (/.f64 (log1p.f64 (expm1.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	60.9%	(*.f64 (sin.f64 ky) (/.f64 (log.f64 (exp.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	51.8%	(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	99.4%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
	48.2%	(.f64 (sin.f64 ky) (.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))
	29.7%	(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
▶	32.3%	(sin.f64 th)
	99.6%	(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))

Compiler

Compiled 588 to 401 computations (31.8% saved)

simplify89.0ms (0.7%)

Memory

-12.6MiB live, 27.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 kx #s(literal 2 binary64))
✓	cost-diff	0	(cos.f64 (*.f64 kx #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))
	cost-diff	0	(sin.f64 ky)
	cost-diff	0	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	cost-diff	0	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	cost-diff	0	(sin.f64 th)
✓	cost-diff	0	(/.f64 (sin.f64 th) (sin.f64 ky))
	cost-diff	0	(sin.f64 ky)
✓	cost-diff	13056	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
	cost-diff	0	(sin.f64 th)
	cost-diff	0	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	cost-diff	0	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
	cost-diff	0	(sin.f64 th)
✓	cost-diff	0	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))

Rules

779×	`fmm-def`
772×	`fma-define`
434×	`times-frac`
399×	`associate-/r/`
382×	`distribute-lft-in`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	31	686
1	51	686
2	86	686
3	120	686
4	193	686
5	345	666
6	788	666
7	3425	666
8	7837	666

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(sin.f64 th)
th
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 ky)
ky
(sin.f64 kx)
kx
(sin.f64 th)
th
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(sin.f64 ky)
ky
(/.f64 (sin.f64 th) (sin.f64 ky))
(sin.f64 th)
th
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(sin.f64 ky)
ky
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
kx
(sin.f64 th)
th
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sin.f64 ky)
ky
(sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))
(cos.f64 (*.f64 kx #s(literal 2 binary64)))
(*.f64 kx #s(literal 2 binary64))
kx
#s(literal 2 binary64)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sin.f64 th)
th

Outputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(sin.f64 th)
th
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 ky)
ky
(sin.f64 kx)
kx
(sin.f64 th)
th
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(sin.f64 th)
(sin.f64 ky)
ky
(/.f64 (sin.f64 th) (sin.f64 ky))
(sin.f64 th)
th
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(sin.f64 ky)
ky
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
kx
(sin.f64 th)
th
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (/.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)))))))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))))))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(sin.f64 ky)
ky
(sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)))
(fma.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))
(cos.f64 (*.f64 kx #s(literal 2 binary64)))
(*.f64 kx #s(literal 2 binary64))
kx
#s(literal 2 binary64)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sin.f64 th)
th

localize194.0ms (1.6%)

Memory

5.4MiB live, 237.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	accuracy	99.6%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	accuracy	93.2%	(sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
✓	accuracy	73.5%	(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)))
	accuracy	100.0%	(sin.f64 kx)
	accuracy	100.0%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	accuracy	99.6%	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
✓	accuracy	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	accuracy	100.0%	(sin.f64 th)
	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	99.7%	(/.f64 (sin.f64 th) (sin.f64 ky))
✓	accuracy	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
	accuracy	100.0%	(sin.f64 th)
	accuracy	100.0%	(sin.f64 kx)
	accuracy	100.0%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	accuracy	99.8%	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
✓	accuracy	99.8%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))

Samples

41.0ms	85×	1	valid
40.0ms	53×	2	valid
36.0ms	118×	0	valid

Compiler

Compiled 188 to 26 computations (86.2% saved)

Precisions

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

ival-div: 24.0ms (26.5% of total)

ival-cos: 19.0ms (21% of total)

ival-sin: 19.0ms (21% of total)

ival-mult: 7.0ms (7.7% of total)

ival-hypot: 7.0ms (7.7% of total)

adjust: 4.0ms (4.4% of total)

ival-pow2: 4.0ms (4.4% of total)

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

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

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

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

series70.0ms (0.6%)

Memory

-8.8MiB live, 109.4MiB allocated

Counts

12 → 272

Calls

Call 1

Inputs
#s(alt (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (patch) () ())
#s(alt (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (patch) () ())
#s(alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))) (patch) () ())
#s(alt (/.f64 (sin.f64 th) (sin.f64 ky)) (patch) () ())
#s(alt (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) (patch) () ())
#s(alt (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (patch) () ())
#s(alt (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)) (patch) () ())
#s(alt (cos.f64 (*.f64 kx #s(literal 2 binary64))) (patch) () ())
#s(alt (*.f64 kx #s(literal 2 binary64)) (patch) () ())
#s(alt (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (patch) () ())
#s(alt (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch) () ())
#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) (patch) () ())

Outputs
#s(alt (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () 0 th) (#s(alt (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (patch) () ())) ())
#s(alt (.f64 th (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))) (taylor () 0 th) (#s(alt (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (patch) () ())) ())
#s(alt (.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))) (taylor () 0 th) (#s(alt (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (patch) () ())) ())
#s(alt (.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))))) (taylor () 0 th) (#s(alt (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () inf th) (#s(alt (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () inf th) (#s(alt (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () inf th) (#s(alt (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () inf th) (#s(alt (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () -inf th) (#s(alt (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () -inf th) (#s(alt (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (patch) () ())) ())
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#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () -inf kx) (#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () -inf kx) (#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () -inf kx) (#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) (patch) () ())) ())
#s(alt (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () 0 th) (#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) (patch) () ())) ())
#s(alt (.f64 th (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))))) (taylor () 0 th) (#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) (patch) () ())) ())
#s(alt (.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))))))) (taylor () 0 th) (#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) (patch) () ())) ())
#s(alt (.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))) (.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))))))))) (taylor () 0 th) (#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () inf th) (#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () inf th) (#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () inf th) (#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () inf th) (#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () -inf th) (#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () -inf th) (#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () -inf th) (#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () -inf th) (#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) (patch) () ())) ())

Calls

72 calls:

Time	Variable		Point	Expression
16.0ms	ky	@	0	(* (/ (sin ky) (sqrt (+ (- 1/2 (/ (cos (* kx 2)) 2)) (pow (sin ky) 2)))) (sin th))
3.0ms	ky	@	0	(/ (sin th) (sin ky))
2.0ms	ky	@	0	(/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin th))
2.0ms	th	@	0	(* (/ (sin ky) (sqrt (+ (- 1/2 (/ (cos (* kx 2)) 2)) (pow (sin ky) 2)))) (sin th))
2.0ms	th	@	inf	(* (/ (sin ky) (sqrt (+ (- 1/2 (/ (cos (* kx 2)) 2)) (pow (sin ky) 2)))) (sin th))

rewrite242.0ms (2%)

Memory

34.7MiB live, 183.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

438×	`log1p-expm1-u`
234×	`expm1-log1p-u`
230×	`add-exp-log`
230×	`add-log-exp`
230×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	383
1	514	343
2	7632	343

Stop Event

1×	node limit

Counts

12 → 451

Calls

Call 1

Inputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))
(cos.f64 (*.f64 kx #s(literal 2 binary64)))
(*.f64 kx #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)))
(sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) #s(literal 1 binary64))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 th)))
(.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(.f64 (sqrt.f64 (sin.f64 ky)) (.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(.f64 (sqrt.f64 (sin.f64 th)) (.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 th)))
(.f64 (sqrt.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 ky)))))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th)))))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 ky) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 2 binary64)))) (/.f64 (sin.f64 ky) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 2 binary64)))) (cbrt.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) (/.f64 (cbrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
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(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 ky) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 (/.f64 (sin.f64 th) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(/.f64 (/.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 1 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (/.f64 (sin.f64 ky) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal -1 binary64))
(neg.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th)))))
(neg.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 ky)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 1 binary64)))

simplify353.0ms (2.9%)

Memory

-6.4MiB live, 556.5MiB allocated

Algorithm

1×	egg-herbie

Rules

755×	`fma-define`
473×	`times-frac`
381×	`distribute-lft-in`
379×	`distribute-rgt-in`
374×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1234	38820
1	3245	37133

Stop Event

1×	node limit

Counts

723 → 618

Calls

Call 1

Inputs
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 th (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(.f64 ky (+.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 ky (+.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 ky (+.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(sin.f64 th)
(+.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(+.f64 (sin.f64 th) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))))
(+.f64 (sin.f64 th) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))))))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/.f64 (sin.f64 kx) ky)
(/.f64 (+.f64 (sin.f64 kx) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))) ky)
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th
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(expm1.f64 (log1p.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64)))))
(exp.f64 (log.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 kx #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 kx #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 kx #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 kx #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) kx))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 kx #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 kx #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 kx #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 kx #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 kx #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (sin.f64 kx)) (sin.f64 kx)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (sin.f64 kx)) (.f64 (sqrt.f64 (sin.f64 kx)) (sin.f64 kx)))
(*.f64 (sin.f64 kx) (sin.f64 kx))
(.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 (.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(.f64 (.f64 (sin.f64 kx) (sqrt.f64 (sin.f64 kx))) (sqrt.f64 (sin.f64 kx)))
(.f64 (.f64 (sin.f64 kx) (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 (.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 (.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (+.f64 (.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 (.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 (.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(pow.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))
(fabs.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) #s(literal 1 binary64))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 ky))))
(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th))))
(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 ky) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 (/.f64 (sin.f64 th) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(/.f64 (/.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 1 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (/.f64 (sin.f64 ky) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal -1 binary64))
(neg.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th)))))
(neg.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 ky)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 1 binary64)))

Outputs
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 th (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(.f64 th (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))))))
(.f64 th (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
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(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 1 binary64)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (neg.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 ky))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (/.f64 (sin.f64 ky) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (/.f64 (sin.f64 th) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (/.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 1 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (/.f64 (sin.f64 ky) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 (sin.f64 ky) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 3 binary64))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 2 binary64))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal -1 binary64))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(neg.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(neg.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 ky)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(log.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 3 binary64))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal 3 binary64))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 1 binary64)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))

eval188.0ms (1.5%)

Memory: 23.0MiB live, 294.3MiB allocated
Compiler: Compiled 25 363 to 4 282 computations (83.1% saved)

prune225.0ms (1.8%)

Memory

-31.4MiB live, 449.1MiB allocated

Pruning

44 alts after pruning (40 fresh and 4 done)

	Pruned	Kept	Total
New	1 082	32	1 114
Fresh	8	8	16
Picked	2	3	5
Done	0	1	1
Total	1 092	44	1 136

Accuracy

100.0%

Counts

1 136 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.8%	(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
	31.6%	(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
	94.5%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	27.4%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
✓	99.7%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	53.2%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
	29.6%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
	99.6%	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
✓	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	51.9%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
▶	31.9%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	99.4%	(/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
▶	99.6%	(/.f64 (log1p.f64 (expm1.f64 (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	51.9%	(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	26.4%	(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
▶	28.6%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (sin.f64 th))
	42.6%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) th)
	31.9%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	29.6%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	36.3%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 ky) (sin.f64 th)))
	99.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (sin.f64 th))
	36.2%	(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
	24.0%	(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
	19.2%	(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) ky))
✓	99.7%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	53.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
	31.9%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	17.2%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (log.f64 (exp.f64 (sin.f64 ky)))))
	47.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))
	19.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
	60.9%	(*.f64 (sin.f64 ky) (/.f64 (log.f64 (exp.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	32.1%	(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
	17.4%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
	19.3%	(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
	29.7%	(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
✓	32.3%	(sin.f64 th)
	32.2%	(log1p.f64 (expm1.f64 (sin.f64 th)))
	26.3%	(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
	26.3%	(log.f64 (exp.f64 (sin.f64 th)))
	29.4%	(fabs.f64 (sin.f64 th))
▶	32.2%	(expm1.f64 (log1p.f64 (sin.f64 th)))
	23.8%	(exp.f64 (log.f64 (sin.f64 th)))
	31.8%	(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
▶	17.7%	th

Compiler

Compiled 1 013 to 737 computations (27.2% saved)

simplify99.0ms (0.8%)

Memory

13.4MiB live, 51.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) kx)
✓	cost-diff	0	(cos.f64 (*.f64 #s(literal 2 binary64) kx))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))
	cost-diff	0	(sin.f64 ky)
	cost-diff	0	(sin.f64 kx)
✓	cost-diff	0	(/.f64 (sin.f64 kx) (sin.f64 th))
	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	cost-diff	0	(sin.f64 th)
✓	cost-diff	0	(log1p.f64 (sin.f64 th))
✓	cost-diff	12800	(expm1.f64 (log1p.f64 (sin.f64 th)))
	cost-diff	0	(sin.f64 th)
✓	cost-diff	0	(expm1.f64 (sin.f64 th))
✓	cost-diff	12800	(log1p.f64 (expm1.f64 (sin.f64 th)))
✓	cost-diff	12800	(/.f64 (log1p.f64 (expm1.f64 (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))

Rules

520×	`fmm-def`
460×	`prod-exp`
333×	`div-exp`
331×	`distribute-lft-in`
312×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	514
1	60	514
2	95	498
3	142	498
4	226	498
5	539	498
6	1669	498
7	3320	498
8	4853	498
9	6656	498

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (expm1.f64 (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(expm1.f64 (sin.f64 th))
(sin.f64 th)
th
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 ky)
ky
(sin.f64 kx)
kx
th
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log1p.f64 (sin.f64 th))
(sin.f64 th)
th
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(sin.f64 ky)
ky
(/.f64 (sin.f64 kx) (sin.f64 th))
(sin.f64 kx)
kx
(sin.f64 th)
th
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))
(sin.f64 ky)
ky
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))
#s(literal 1/2 binary64)
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))
(cos.f64 (*.f64 #s(literal 2 binary64) kx))
(*.f64 #s(literal 2 binary64) kx)
#s(literal 2 binary64)
kx
(sin.f64 th)
th

Outputs
(/.f64 (log1p.f64 (expm1.f64 (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(sin.f64 th)
(expm1.f64 (sin.f64 th))
(sin.f64 th)
th
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 ky)
ky
(sin.f64 kx)
kx
th
(expm1.f64 (log1p.f64 (sin.f64 th)))
(sin.f64 th)
(log1p.f64 (sin.f64 th))
(sin.f64 th)
th
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(sin.f64 ky)
ky
(/.f64 (sin.f64 kx) (sin.f64 th))
(sin.f64 kx)
kx
(sin.f64 th)
th
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (sin.f64 th))
(.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))))
(.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64))))))
(.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sin.f64 ky)
ky
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(sqrt.f64 (fma.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(fma.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))
(cos.f64 (*.f64 #s(literal 2 binary64) kx))
(cos.f64 (*.f64 kx #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) kx)
(*.f64 kx #s(literal 2 binary64))
#s(literal 2 binary64)
kx
(sin.f64 th)
th

localize270.0ms (2.2%)

Memory

-4.6MiB live, 232.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))
✓	accuracy	99.6%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (sin.f64 th))
✓	accuracy	75.2%	(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
✓	accuracy	73.5%	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))
	accuracy	100.0%	(sin.f64 ky)
	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.7%	(/.f64 (sin.f64 kx) (sin.f64 th))
✓	accuracy	99.5%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	accuracy	100.0%	(sin.f64 th)
✓	accuracy	99.8%	(expm1.f64 (log1p.f64 (sin.f64 th)))
✓	accuracy	99.6%	(log1p.f64 (sin.f64 th))
	accuracy	99.8%	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
✓	accuracy	99.8%	(expm1.f64 (sin.f64 th))
✓	accuracy	99.8%	(/.f64 (log1p.f64 (expm1.f64 (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
✓	accuracy	99.7%	(log1p.f64 (expm1.f64 (sin.f64 th)))

Samples

72.0ms	77×	2	valid
35.0ms	117×	0	valid
18.0ms	43×	1	valid
16.0ms	19×	3	valid

Compiler

Compiled 143 to 26 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-cos: 37.0ms (32.8% of total)

ival-sin: 22.0ms (19.5% of total)

ival-div: 11.0ms (9.7% of total)

ival-mult: 10.0ms (8.9% of total)

ival-log1p: 9.0ms (8% of total)

adjust: 7.0ms (6.2% of total)

ival-expm1: 7.0ms (6.2% of total)

ival-hypot: 4.0ms (3.5% of total)

ival-sub: 3.0ms (2.7% of total)

ival-sqrt: 3.0ms (2.7% of total)

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

series93.0ms (0.8%)

Memory

25.2MiB live, 143.0MiB allocated

Counts

14 → 204

Calls

Call 1

Inputs
#s(alt (/.f64 (log1p.f64 (expm1.f64 (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (patch) () ())
#s(alt (log1p.f64 (expm1.f64 (sin.f64 th))) (patch) () ())
#s(alt (expm1.f64 (sin.f64 th)) (patch) () ())
#s(alt (expm1.f64 (log1p.f64 (sin.f64 th))) (patch) () ())
#s(alt (log1p.f64 (sin.f64 th)) (patch) () ())
#s(alt (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))) (patch) () ())
#s(alt (/.f64 (sin.f64 kx) (sin.f64 th)) (patch) () ())
#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (patch) () ())
#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (patch) () ())
#s(alt (*.f64 #s(literal 2 binary64) kx) (patch) () ())
#s(alt (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (patch) () ())
#s(alt (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (patch) () ())
#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (sin.f64 th)) (patch) () ())
#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) (patch) () ())

Outputs
#s(alt (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () 0 th) (#s(alt (/.f64 (log1p.f64 (expm1.f64 (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (patch) () ())) ())
#s(alt (.f64 th (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))) (taylor () 0 th) (#s(alt (/.f64 (log1p.f64 (expm1.f64 (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (patch) () ())) ())
#s(alt (.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))) (taylor () 0 th) (#s(alt (/.f64 (log1p.f64 (expm1.f64 (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (patch) () ())) ())
#s(alt (.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))))) (taylor () 0 th) (#s(alt (/.f64 (log1p.f64 (expm1.f64 (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (patch) () ())) ())
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#s(alt (.f64 th (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))))) (taylor () 0 th) (#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) (sin.f64 th)) (patch) () ())) ())
#s(alt (.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))))))) (taylor () 0 th) (#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (sin.f64 th)) (patch) () ())) ())
#s(alt (.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))) (.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))))))))) (taylor () 0 th) (#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) (sin.f64 th)) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () inf th) (#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (sin.f64 th)) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () inf th) (#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (sin.f64 th)) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () inf th) (#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (sin.f64 th)) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () inf th) (#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (sin.f64 th)) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () -inf th) (#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (sin.f64 th)) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () -inf th) (#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (sin.f64 th)) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () -inf th) (#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (sin.f64 th)) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () -inf th) (#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (sin.f64 th)) (patch) () ())) ())
#s(alt (.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () 0 ky) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (patch) () ())) ())
#s(alt (.f64 ky (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))))) (taylor () 0 ky) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (patch) () ())) ())
#s(alt (.f64 ky (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))))))) (taylor () 0 ky) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (patch) () ())) ())
#s(alt (.f64 ky (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))) (.f64 #s(literal 1/120 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))))))))) (taylor () 0 ky) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (patch) () ())) ())
#s(alt (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () inf ky) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (patch) () ())) ())
#s(alt (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () inf ky) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (patch) () ())) ())
#s(alt (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () inf ky) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (patch) () ())) ())
#s(alt (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () inf ky) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (patch) () ())) ())
#s(alt (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () -inf ky) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (patch) () ())) ())
#s(alt (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () -inf ky) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (patch) () ())) ())
#s(alt (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () -inf ky) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (patch) () ())) ())
#s(alt (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () -inf ky) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (patch) () ())) ())
#s(alt (/.f64 (sin.f64 ky) kx) (taylor () 0 kx) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) (patch) () ())) ())
#s(alt (/.f64 (+.f64 (sin.f64 ky) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 ky)))) kx) (taylor () 0 kx) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) (patch) () ())) ())
#s(alt (/.f64 (+.f64 (sin.f64 ky) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 7/360 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 ky))) (.f64 #s(literal 1/6 binary64) (sin.f64 ky))))) kx) (taylor () 0 kx) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) (patch) () ())) ())
#s(alt (/.f64 (+.f64 (sin.f64 ky) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 ky)) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 31/15120 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 ky))) (.f64 #s(literal 7/360 binary64) (sin.f64 ky))))))) kx) (taylor () 0 kx) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) (patch) () ())) ())
#s(alt (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () inf kx) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (patch) () ())) ())
#s(alt (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () inf kx) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (patch) () ())) ())
#s(alt (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () inf kx) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (patch) () ())) ())
#s(alt (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () inf kx) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (patch) () ())) ())
#s(alt (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () -inf kx) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (patch) () ())) ())
#s(alt (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () -inf kx) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (patch) () ())) ())
#s(alt (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () -inf kx) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (patch) () ())) ())
#s(alt (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (taylor () -inf kx) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (patch) () ())) ())

Calls

66 calls:

Time	Variable		Point	Expression
37.0ms	th	@	inf	(log (+ 1 (sin th)))
16.0ms	th	@	-inf	(log (+ 1 (sin th)))
6.0ms	kx	@	inf	(* 2 kx)
1.0ms	th	@	0	(* (/ (sin ky) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin th))
1.0ms	kx	@	inf	(* (/ (sin ky) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))) (sin th))

rewrite364.0ms (3%)

Memory

-1.0MiB live, 155.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

687×	`prod-diff`
375×	`log1p-expm1-u`
209×	`expm1-log1p-u`
206×	`pow1`
204×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	319
1	460	263
2	6405	263

Stop Event

1×	node limit

Counts

14 → 455

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (expm1.f64 (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(expm1.f64 (sin.f64 th))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log1p.f64 (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 kx) (sin.f64 th))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))
(cos.f64 (*.f64 #s(literal 2 binary64) kx))
(*.f64 #s(literal 2 binary64) kx)
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 1 binary64))
(-.f64 (/.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(.f64 (sqrt.f64 (sin.f64 th)) (.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (sqrt.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 ky)))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal 2 binary64))) (/.f64 (sin.f64 th) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (/.f64 (sin.f64 th) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (cbrt.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (/.f64 (cbrt.f64 (sin.f64 th)) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (sin.f64 th)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(*.f64 (/.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)) (sin.f64 ky))
(.f64 (.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 ky)))
(.f64 (.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (sin.f64 ky)))
(pow.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal -1 binary64))
(neg.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 ky)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64)))
(+.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (sin.f64 th) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 th))
(*.f64 (cbrt.f64 (sin.f64 th)) (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 th)))
(*.f64 (sqrt.f64 (sin.f64 th)) (sqrt.f64 (sin.f64 th)))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) (+.f64 (sin.f64 th) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) (+.f64 (sin.f64 th) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (sin.f64 th) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(sin.f64 th)
(expm1.f64 (log1p.f64 (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(exp.f64 (*.f64 (log.f64 (sin.f64 th)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (sin.f64 th)) #s(literal -1 binary64))
(-.f64 (exp.f64 (sin.f64 th)) #s(literal 1 binary64))
(*.f64 (expm1.f64 (sin.f64 th)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th)))
(*.f64 (cbrt.f64 (expm1.f64 (sin.f64 th))) (cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 th)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 th)) #s(literal 2 binary64))) (cbrt.f64 (expm1.f64 (sin.f64 th))))
(*.f64 (sqrt.f64 (expm1.f64 (sin.f64 th))) (sqrt.f64 (expm1.f64 (sin.f64 th))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 th)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (exp.f64 (sin.f64 th)) (exp.f64 (sin.f64 th))) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (sin.f64 th)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (sin.f64 th)) (exp.f64 (sin.f64 th))) #s(literal 1 binary64)) (+.f64 (exp.f64 (sin.f64 th)) #s(literal 1 binary64)))
(pow.f64 (expm1.f64 (sin.f64 th)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 th))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (sin.f64 th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 th))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 th)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (expm1.f64 (sin.f64 th))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (expm1.f64 (sin.f64 th)))))
(cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 th)) #s(literal 3 binary64)))
(log1p.f64 (expm1.f64 (expm1.f64 (sin.f64 th))))
(exp.f64 (log.f64 (expm1.f64 (sin.f64 th))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (sin.f64 th))) #s(literal 1 binary64)))
(+.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (sin.f64 th) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 th))
(*.f64 (cbrt.f64 (sin.f64 th)) (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 th)))
(*.f64 (sqrt.f64 (sin.f64 th)) (sqrt.f64 (sin.f64 th)))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) (+.f64 (sin.f64 th) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) (+.f64 (sin.f64 th) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (sin.f64 th) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(sin.f64 th)
(log1p.f64 (expm1.f64 (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(exp.f64 (*.f64 (log.f64 (sin.f64 th)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (sin.f64 th)))) #s(literal 1 binary64))
(*.f64 (log1p.f64 (sin.f64 th)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (sin.f64 th)))
(*.f64 (cbrt.f64 (log1p.f64 (sin.f64 th))) (cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 th)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 th)) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (sin.f64 th))))
(*.f64 (sqrt.f64 (log1p.f64 (sin.f64 th))) (sqrt.f64 (log1p.f64 (sin.f64 th))))
(pow.f64 (log1p.f64 (sin.f64 th)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 th))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (sin.f64 th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (sin.f64 th))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (sin.f64 th)) #s(literal 2 binary64)))
(log.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 th)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (sin.f64 th))))
(exp.f64 (log.f64 (log1p.f64 (sin.f64 th))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 1 binary64))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1 binary64))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th))))
(.f64 (sqrt.f64 (sin.f64 ky)) (.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 (sqrt.f64 (sin.f64 th)) (.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))) (sqrt.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (neg.f64 (sin.f64 th)))))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 kx)) (/.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 ky) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)))
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(neg.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (neg.f64 (sin.f64 th)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sin.f64 ky)) (sin.f64 kx)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 kx)))
(.f64 (sqrt.f64 (sin.f64 ky)) (.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 2 binary64))) (/.f64 (sin.f64 ky) (cbrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sin.f64 ky)) (sin.f64 kx)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 kx)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (sqrt.f64 (sin.f64 kx))) (/.f64 (cbrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 kx))))
(pow.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64))
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (sin.f64 kx)))
(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (sin.f64 kx))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))))
(exp.f64 (log.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)))

simplify314.0ms (2.5%)

Memory

-12.7MiB live, 416.4MiB allocated

Algorithm

1×	egg-herbie

Rules

825×	`fma-define`
484×	`times-frac`
383×	`distribute-lft-in`
382×	`distribute-rgt-in`
363×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1317	30351
1	3447	27513

Stop Event

1×	node limit

Counts

659 → 714

Calls

Call 1

Inputs
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 th (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(.f64 ky (+.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 ky (+.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 ky (+.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(sin.f64 th)
(+.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(+.f64 (sin.f64 th) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))))
(+.f64 (sin.f64 th) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))))))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
th
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 th (+.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 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
th
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/15 binary64) th) #s(literal 1/8 binary64)))))))
(-.f64 (exp.f64 (sin.f64 th)) #s(literal 1 binary64))
(-.f64 (exp.f64 (sin.f64 th)) #s(literal 1 binary64))
(-.f64 (exp.f64 (sin.f64 th)) #s(literal 1 binary64))
(-.f64 (exp.f64 (sin.f64 th)) #s(literal 1 binary64))
(-.f64 (exp.f64 (sin.f64 th)) #s(literal 1 binary64))
(-.f64 (exp.f64 (sin.f64 th)) #s(literal 1 binary64))
(-.f64 (exp.f64 (sin.f64 th)) #s(literal 1 binary64))
(-.f64 (exp.f64 (sin.f64 th)) #s(literal 1 binary64))
th
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 th (+.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 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
th
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (-.f64 (*.f64 #s(literal 1/6 binary64) th) #s(literal 1/2 binary64)))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (-.f64 (.f64 th (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/12 binary64) th))) #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(.f64 ky (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th)) (sin.f64 kx))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 ky (+.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th)) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 ky (+.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (/.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th)) (sin.f64 kx))) (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (.f64 (sin.f64 ky) (sin.f64 th)))) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
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(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
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(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 kx (sin.f64 th))
(.f64 kx (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th))) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
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(/.f64 (sin.f64 kx) th)
(/.f64 (+.f64 (sin.f64 kx) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 kx)))) th)
(/.f64 (+.f64 (sin.f64 kx) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/36 binary64) (sin.f64 kx)) (.f64 #s(literal 1/120 binary64) (sin.f64 kx))))) (.f64 #s(literal -1/6 binary64) (sin.f64 kx))))) th)
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#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 kx #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/45 binary64) (pow.f64 kx #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 kx #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/3 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal -4/45 binary64) (pow.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))))
(pow.f64 kx #s(literal 2 binary64))
(.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 kx #s(literal 2 binary64)))))
(.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/315 binary64) (pow.f64 kx #s(literal 2 binary64))))) #s(literal 1/3 binary64)))))
kx
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 kx #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
(.f64 ky (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))))
(.f64 ky (+.f64 (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))))))))
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(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
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(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
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(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cos.f64 kx) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (pow.f64 (cos.f64 kx) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (cos.f64 kx) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (pow.f64 (cos.f64 kx) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 (cos.f64 kx) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 kx))) #s(literal 1 binary64))
(*.f64 (sin.f64 kx) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 kx))
(*.f64 (cbrt.f64 (sin.f64 kx)) (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 kx)))
(*.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sin.f64 kx))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (sqrt.f64 (pow.f64 (cos.f64 kx) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (pow.f64 (cos.f64 kx) #s(literal 2 binary64))))))
(pow.f64 (sin.f64 kx) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 2 binary64))
(fabs.f64 (sin.f64 kx))
(log.f64 (exp.f64 (sin.f64 kx)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 kx))))
(cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))
(sin.f64 kx)
(expm1.f64 (log1p.f64 (sin.f64 kx)))
(log1p.f64 (expm1.f64 (sin.f64 kx)))
(exp.f64 (log.f64 (sin.f64 kx)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 1 binary64))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 (sin.f64 kx) (neg.f64 (sin.f64 th))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(/.f64 (/.f64 (sin.f64 ky) #s(literal 1 binary64)) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))) (sqrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (sin.f64 kx)))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 1 binary64)) (sin.f64 kx))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 kx)))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (sin.f64 kx))) (sqrt.f64 (sin.f64 kx)))
(/.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(pow.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal -1 binary64))
(neg.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (neg.f64 (sin.f64 th)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sin.f64 ky)) (sin.f64 kx)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 kx)))
(.f64 (sqrt.f64 (sin.f64 ky)) (.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 2 binary64))) (/.f64 (sin.f64 ky) (cbrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sin.f64 ky)) (sin.f64 kx)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 kx)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (sqrt.f64 (sin.f64 kx))) (/.f64 (cbrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 kx))))
(pow.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64))
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (sin.f64 kx)))
(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (sin.f64 kx))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))))
(exp.f64 (log.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)))

Outputs
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 th (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64)))) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64)))) (sin.f64 ky))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))
(.f64 th (fma.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64)))) #s(literal 1/120 binary64))))))
(.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64)))))) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))))
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#s(literal 1/2 binary64)
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(+.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 kx #s(literal 2 binary64))))
(-.f64 #s(literal 1/2 binary64) (pow.f64 kx #s(literal 2 binary64)))
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#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 kx #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))
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(fma.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal 2/3 binary64) (pow.f64 kx #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
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(pow.f64 kx #s(literal 2 binary64))
(.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 kx #s(literal 2 binary64)))))
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kx
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(*.f64 kx (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)) #s(literal 1 binary64)))
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(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) #s(literal 3 binary64))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sin.f64 ky)) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(.f64 (sqrt.f64 (sin.f64 ky)) (.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 kx))))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 2 binary64))) (/.f64 (sin.f64 ky) (cbrt.f64 (sin.f64 kx))))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sin.f64 ky)) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (sin.f64 kx))))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 kx))))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (sqrt.f64 (sin.f64 kx))) (/.f64 (cbrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 kx))))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(pow.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(pow.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (sin.f64 kx))))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)))
(log.f64 (exp.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(exp.f64 (log.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)))
(/.f64 (sin.f64 ky) (sin.f64 kx))

eval432.0ms (3.5%)

Memory: -110.9MiB live, 349.3MiB allocated
Compiler: Compiled 24 039 to 4 294 computations (82.1% saved)

prune405.0ms (3.3%)

Memory

-6.6MiB live, 553.9MiB allocated

Pruning

60 alts after pruning (51 fresh and 9 done)

	Pruned	Kept	Total
New	1 051	24	1 075
Fresh	8	27	35
Picked	0	5	5
Done	0	4	4
Total	1 059	60	1 119

Accuracy

100.0%

Counts

1 119 → 60

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.8%	(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
	31.6%	(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
	60.9%	(/.f64 (-.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	94.5%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	27.4%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
✓	99.7%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	31.9%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
	29.6%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
▶	99.6%	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
✓	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	51.9%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
	19.8%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
✓	31.9%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	23.9%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (log.f64 (exp.f64 (sin.f64 th)))))
	20.4%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
▶	42.7%	(/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)))
	99.4%	(/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
	31.9%	(/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))
	31.9%	(/.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 kx)))
	22.9%	(/.f64 (sin.f64 ky) (exp.f64 (log.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))))
✓	99.6%	(/.f64 (log1p.f64 (expm1.f64 (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	51.9%	(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	29.6%	(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
▶	29.7%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
	31.9%	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
✓	28.6%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (sin.f64 th))
	16.0%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) th)
	42.6%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) th)
	23.8%	(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
	24.2%	(.f64 (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (sin.f64 th))
	29.6%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	36.3%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 ky) (sin.f64 th)))
	99.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (sin.f64 th))
	29.7%	(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
	28.6%	(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
	36.2%	(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
	15.9%	(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
	24.0%	(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
	19.2%	(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) ky))
✓	99.7%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	53.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
	47.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))
	19.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
	32.1%	(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
	31.9%	(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (neg.f64 (sin.f64 th)))))
	20.4%	(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
	19.3%	(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
✓	32.3%	(sin.f64 th)
	32.2%	(log1p.f64 (expm1.f64 (sin.f64 th)))
	26.3%	(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
▶	26.3%	(log.f64 (exp.f64 (sin.f64 th)))
	29.4%	(fabs.f64 (sin.f64 th))
	31.7%	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 th))) #s(literal 3 binary64)))
▶	20.1%	(expm1.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th #s(literal -1/2 binary64)))))
✓	32.2%	(expm1.f64 (log1p.f64 (sin.f64 th)))
	29.4%	(expm1.f64 (log1p.f64 (fabs.f64 (sin.f64 th))))
	26.4%	(expm1.f64 (log.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64))))
	23.8%	(exp.f64 (log.f64 (sin.f64 th)))
	31.8%	(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
✓	17.7%	th

Compiler

Compiled 1 395 to 1 037 computations (25.7% saved)

simplify49.0ms (0.4%)

Memory

5.8MiB live, 44.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fabs.f64 (sin.f64 kx))
✓	cost-diff	0	(/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))
	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)))
✓	cost-diff	0	(*.f64 (sin.f64 th) (sin.f64 ky))
	cost-diff	0	(sin.f64 kx)
✓	cost-diff	0	(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
	cost-diff	0	(sin.f64 th)
✓	cost-diff	0	(exp.f64 (sin.f64 th))
✓	cost-diff	12800	(log.f64 (exp.f64 (sin.f64 th)))
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 th #s(literal -1/2 binary64)))
✓	cost-diff	-6272	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th #s(literal -1/2 binary64))))
✓	cost-diff	-6272	(expm1.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th #s(literal -1/2 binary64)))))
✓	cost-diff	0	(*.f64 th #s(literal -1/2 binary64))
	cost-diff	0	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
	cost-diff	0	(sin.f64 th)
✓	cost-diff	128	(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
✓	cost-diff	128	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))

Rules

120×	`times-frac`
54×	`associate-r`
48×	`associate-l`
44×	`associate-/r*`
42×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	526
1	63	502
2	114	496
3	187	496
4	275	496
5	371	496
6	467	496
7	506	496
8	578	496
9	618	496
10	629	496
11	648	496

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(sin.f64 th)
th
(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 ky)
ky
(sin.f64 kx)
kx
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
#s(literal 1 binary64)
(expm1.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th #s(literal -1/2 binary64)))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th #s(literal -1/2 binary64))))
th
(+.f64 #s(literal 1 binary64) (*.f64 th #s(literal -1/2 binary64)))
#s(literal 1 binary64)
(*.f64 th #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(log.f64 (exp.f64 (sin.f64 th)))
(exp.f64 (sin.f64 th))
(sin.f64 th)
th
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
#s(literal 1 binary64)
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(sin.f64 kx)
kx
(*.f64 (sin.f64 th) (sin.f64 ky))
(sin.f64 th)
th
(sin.f64 ky)
ky
(/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)))
(sin.f64 ky)
ky
(/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))
(fabs.f64 (sin.f64 kx))
(sin.f64 kx)
kx
(sin.f64 th)
th

Outputs
(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(sin.f64 th)
th
(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 ky)
ky
(sin.f64 kx)
kx
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
#s(literal 1 binary64)
(expm1.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th #s(literal -1/2 binary64)))))
(expm1.f64 (*.f64 th (fma.f64 th #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th #s(literal -1/2 binary64))))
(*.f64 th (fma.f64 th #s(literal -1/2 binary64) #s(literal 1 binary64)))
th
(+.f64 #s(literal 1 binary64) (*.f64 th #s(literal -1/2 binary64)))
(fma.f64 th #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 th #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(log.f64 (exp.f64 (sin.f64 th)))
(sin.f64 th)
(exp.f64 (sin.f64 th))
(sin.f64 th)
th
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
#s(literal 1 binary64)
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(sin.f64 kx)
kx
(*.f64 (sin.f64 th) (sin.f64 ky))
(sin.f64 th)
th
(sin.f64 ky)
ky
(/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx))) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx))))
(sin.f64 ky)
ky
(/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))
(fabs.f64 (sin.f64 kx))
(sin.f64 kx)
kx
(sin.f64 th)
th

localize291.0ms (2.4%)

Memory

3.3MiB live, 241.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	100.0%	(fabs.f64 (sin.f64 kx))
✓	accuracy	99.7%	(/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))
✓	accuracy	99.5%	(/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)))
	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.6%	(*.f64 (sin.f64 th) (sin.f64 ky))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
✓	accuracy	94.4%	(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
	accuracy	100.0%	(sin.f64 th)
✓	accuracy	99.9%	(exp.f64 (sin.f64 th))
✓	accuracy	53.5%	(log.f64 (exp.f64 (sin.f64 th)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 th #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 th #s(literal -1/2 binary64))
✓	accuracy	100.0%	(expm1.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th #s(literal -1/2 binary64)))))
✓	accuracy	100.0%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th #s(literal -1/2 binary64))))
	accuracy	100.0%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (sin.f64 ky))
✓	accuracy	99.8%	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
✓	accuracy	99.6%	(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))

Samples

177.0ms	81×	1	valid
41.0ms	43×	2	valid
37.0ms	132×	0	valid

Compiler

Compiled 140 to 26 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 226.0ms

ival-div: 154.0ms (68.1% of total)

ival-sin: 21.0ms (9.3% of total)

ival-log: 18.0ms (8% of total)

ival-mult: 13.0ms (5.8% of total)

ival-exp: 6.0ms (2.7% of total)

adjust: 4.0ms (1.8% of total)

ival-hypot: 4.0ms (1.8% of total)

ival-add: 2.0ms (0.9% of total)

ival-expm1: 2.0ms (0.9% of total)

ival-fabs: 1.0ms (0.4% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

series107.0ms (0.9%)

Memory

7.0MiB live, 84.8MiB allocated

Counts

15 → 264

Calls

Call 1

Inputs
#s(alt (/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) (patch) () ())
#s(alt (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (patch) () ())
#s(alt (*.f64 th #s(literal -1/2 binary64)) (patch) () ())
#s(alt (expm1.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th #s(literal -1/2 binary64))))) (patch) () ())
#s(alt (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th #s(literal -1/2 binary64)))) (patch) () ())
#s(alt (+.f64 #s(literal 1 binary64) (*.f64 th #s(literal -1/2 binary64))) (patch) () ())
#s(alt (log.f64 (exp.f64 (sin.f64 th))) (patch) () ())
#s(alt (exp.f64 (sin.f64 th)) (patch) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))) (patch) () ())
#s(alt (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))) (patch) () ())
#s(alt (*.f64 (sin.f64 th) (sin.f64 ky)) (patch) () ())
#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())
#s(alt (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)) (patch) () ())
#s(alt (fabs.f64 (sin.f64 kx)) (patch) () ())
#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (patch) () ())

Outputs
#s(alt (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () 0 th) (#s(alt (/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) (patch) () ())) ())
#s(alt (.f64 th (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))) (taylor () 0 th) (#s(alt (/.f64 (sin.f64 th) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) (patch) () ())) ())
#s(alt (.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))) (taylor () 0 th) (#s(alt (/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) (patch) () ())) ())
#s(alt (.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))))) (taylor () 0 th) (#s(alt (/.f64 (sin.f64 th) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () inf th) (#s(alt (/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () inf th) (#s(alt (/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () inf th) (#s(alt (/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () inf th) (#s(alt (/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () -inf th) (#s(alt (/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () -inf th) (#s(alt (/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () -inf th) (#s(alt (/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () -inf th) (#s(alt (/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 ky (sin.f64 th)) (sin.f64 kx)) (taylor () 0 ky) (#s(alt (/.f64 (sin.f64 th) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) (patch) () ())) ())
#s(alt (.f64 ky (+.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx)))) (taylor () 0 ky) (#s(alt (/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) (patch) () ())) ())
#s(alt (.f64 ky (+.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx)))) (taylor () 0 ky) (#s(alt (/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) (patch) () ())) ())
#s(alt (.f64 ky (+.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx)))) (taylor () 0 ky) (#s(alt (/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () inf ky) (#s(alt (/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () inf ky) (#s(alt (/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () inf ky) (#s(alt (/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () inf ky) (#s(alt (/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) (patch) () ())) ())
#s(alt (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (taylor () -inf ky) (#s(alt (/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) (patch) () ())) ())
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#s(alt (.f64 ky (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th)) (fabs.f64 (sin.f64 kx)))) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))))) (taylor () 0 ky) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (.f64 ky (+.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) (.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th)) (fabs.f64 (sin.f64 kx)))))) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))))) (taylor () 0 ky) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (.f64 ky (+.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (/.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th)) (fabs.f64 (sin.f64 kx)))) (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))))))) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))))) (taylor () 0 ky) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (taylor () inf ky) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (taylor () inf ky) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (taylor () inf ky) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (taylor () inf ky) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (taylor () -inf ky) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (taylor () -inf ky) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (taylor () -inf ky) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (taylor () -inf ky) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (taylor () 0 kx) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (taylor () 0 kx) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (taylor () 0 kx) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (taylor () 0 kx) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (taylor () inf kx) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (taylor () inf kx) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (taylor () inf kx) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (taylor () inf kx) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (taylor () -inf kx) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (taylor () -inf kx) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (taylor () -inf kx) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (taylor () -inf kx) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (/.f64 (*.f64 th (sin.f64 ky)) (fabs.f64 (sin.f64 kx))) (taylor () 0 th) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (.f64 th (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (fabs.f64 (sin.f64 kx)))) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx))))) (taylor () 0 th) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (.f64 th (+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx)))) (.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (fabs.f64 (sin.f64 kx)))))) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx))))) (taylor () 0 th) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (.f64 th (+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx)))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (fabs.f64 (sin.f64 kx)))) (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx)))))))) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx))))) (taylor () 0 th) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (taylor () inf th) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (taylor () inf th) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (taylor () inf th) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (taylor () inf th) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (taylor () -inf th) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (taylor () -inf th) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (taylor () -inf th) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (taylor () -inf th) (#s(alt (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (patch) () ())) ())
#s(alt (/.f64 (fabs.f64 (sin.f64 kx)) th) (taylor () 0 th) (#s(alt (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)) (patch) () ())) ())
#s(alt (/.f64 (+.f64 (fabs.f64 (sin.f64 kx)) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (fabs.f64 (sin.f64 kx))))) th) (taylor () 0 th) (#s(alt (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)) (patch) () ())) ())
#s(alt (/.f64 (+.f64 (fabs.f64 (sin.f64 kx)) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/36 binary64) (fabs.f64 (sin.f64 kx))) (.f64 #s(literal 1/120 binary64) (fabs.f64 (sin.f64 kx)))))) (.f64 #s(literal -1/6 binary64) (fabs.f64 (sin.f64 kx)))))) th) (taylor () 0 th) (#s(alt (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)) (patch) () ())) ())
#s(alt (/.f64 (+.f64 (fabs.f64 (sin.f64 kx)) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (fabs.f64 (sin.f64 kx))) (+.f64 (.f64 #s(literal 1/720 binary64) (fabs.f64 (sin.f64 kx))) (.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1/36 binary64) (fabs.f64 (sin.f64 kx))) (.f64 #s(literal 1/120 binary64) (fabs.f64 (sin.f64 kx))))))))) (+.f64 (.f64 #s(literal -1/36 binary64) (fabs.f64 (sin.f64 kx))) (.f64 #s(literal 1/120 binary64) (fabs.f64 (sin.f64 kx)))))) (.f64 #s(literal -1/6 binary64) (fabs.f64 (sin.f64 kx)))))) th) (taylor () 0 th) (#s(alt (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)) (patch) () ())) ())
#s(alt (/.f64 #s(literal 1 binary64) ky) (taylor () 0 ky) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (patch) () ())) ())
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))) ky) (taylor () 0 ky) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (patch) () ())) ())
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 7/360 binary64) (pow.f64 ky #s(literal 2 binary64)))))) ky) (taylor () 0 ky) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (patch) () ())) ())
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 7/360 binary64) (*.f64 #s(literal 31/15120 binary64) (pow.f64 ky #s(literal 2 binary64)))))))) ky) (taylor () 0 ky) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (patch) () ())) ())

Calls

78 calls:

Time	Variable		Point	Expression
47.0ms	kx	@	inf	(/ (sin th) (* (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (/ 1 (sin ky))))
24.0ms	ky	@	0	(/ (sin kx) (* (sin th) (sin ky)))
3.0ms	kx	@	0	(/ (sin kx) (* (sin th) (sin ky)))
1.0ms	th	@	0	(/ (sin kx) (* (sin th) (sin ky)))
1.0ms	th	@	0	(/ (fabs (sin kx)) (sin th))

rewrite288.0ms (2.3%)

Memory

-28.4MiB live, 215.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

865×	`prod-diff`
225×	`log1p-expm1-u`
224×	`expm1-log1p-u`
222×	`add-exp-log`
222×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	367
1	494	335
2	7218	335

Stop Event

1×	node limit

Counts

15 → 511

Calls

Call 1

Inputs
(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 th #s(literal -1/2 binary64))
(expm1.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th #s(literal -1/2 binary64)))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 th #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (sin.f64 th)))
(exp.f64 (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)))
(/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))
(fabs.f64 (sin.f64 kx))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) #s(literal 1 binary64))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 #s(literal 1 binary64) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(.f64 (sqrt.f64 (sin.f64 th)) (.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(.f64 (sqrt.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 ky)))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal 2 binary64)))) (/.f64 (sin.f64 th) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (/.f64 (sin.f64 th) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (cbrt.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 (cbrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal 2 binary64)))) (cbrt.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (/.f64 (cbrt.f64 (sin.f64 th)) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
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(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (log.f64 (sin.f64 kx))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))) #s(literal 1 binary64))
(*.f64 (sin.f64 kx) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (sin.f64 kx)) (sin.f64 th)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (cbrt.f64 (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(*.f64 (sqrt.f64 (sin.f64 kx)) (/.f64 (sqrt.f64 (sin.f64 kx)) (sin.f64 th)))
(.f64 (sqrt.f64 (sin.f64 kx)) (.f64 (sqrt.f64 (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) (sqrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(*.f64 (neg.f64 (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 th))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 kx))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))) (/.f64 (sin.f64 kx) (cbrt.f64 (sin.f64 th))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 th))) (/.f64 (sin.f64 kx) (sqrt.f64 (sin.f64 th))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sin.f64 kx)) (sin.f64 th)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 kx)) (sin.f64 th)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (sqrt.f64 (sin.f64 th))) (/.f64 (cbrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 th))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (sin.f64 kx)) (cbrt.f64 (sin.f64 th))))
(pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1 binary64))
(neg.f64 (neg.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(exp.f64 (log.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 kx))) #s(literal 1 binary64))
(*.f64 (sin.f64 kx) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 kx))
(*.f64 (cbrt.f64 (sin.f64 kx)) (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 kx)))
(*.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx)))
(*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (fabs.f64 (cbrt.f64 (sin.f64 kx))))
(pow.f64 (sin.f64 kx) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 kx)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 kx))))
(cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))
(sin.f64 kx)
(expm1.f64 (log1p.f64 (sin.f64 kx)))
(log1p.f64 (expm1.f64 (sin.f64 kx)))
(exp.f64 (log.f64 (sin.f64 kx)))
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (sin.f64 ky))) (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (sin.f64 ky))))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal -1 binary64)))
(pow.f64 (sin.f64 ky) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (sin.f64 ky))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)))
(sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(exp.f64 (neg.f64 (log.f64 (sin.f64 ky))))
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 ky))) #s(literal 1 binary64)))

simplify453.0ms (3.7%)

Memory

15.4MiB live, 490.8MiB allocated

Algorithm

1×	egg-herbie

Rules

840×	`fma-define`
761×	`times-frac`
548×	`distribute-lft-in`
405×	`*-commutative`
171×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1419	32630
1	3712	31889

Stop Event

1×	node limit

Counts

775 → 740

Calls

Call 1

Inputs
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 th (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(.f64 ky (+.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 ky (+.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 ky (+.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) (+.f64 (.f64 #s(literal -1/12 binary64) (.f64 (sin.f64 kx) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(sin.f64 th)
(+.f64 (sin.f64 th) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(+.f64 (sin.f64 th) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))))
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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(.f64 (.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64)) (sin.f64 th))
(.f64 (.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))) (cbrt.f64 (sin.f64 th)))
(.f64 (.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sqrt.f64 (sin.f64 th))) (sqrt.f64 (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 (sin.f64 kx))) (neg.f64 (sin.f64 th)))
(.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 kx))) (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))))
(pow.f64 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)) #s(literal -2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (log.f64 (sin.f64 kx))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))) #s(literal 1 binary64))
(*.f64 (sin.f64 kx) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (sin.f64 kx)) (sin.f64 th)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (cbrt.f64 (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(*.f64 (sqrt.f64 (sin.f64 kx)) (/.f64 (sqrt.f64 (sin.f64 kx)) (sin.f64 th)))
(.f64 (sqrt.f64 (sin.f64 kx)) (.f64 (sqrt.f64 (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) (sqrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(*.f64 (neg.f64 (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 th))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 kx))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))) (/.f64 (sin.f64 kx) (cbrt.f64 (sin.f64 th))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 th))) (/.f64 (sin.f64 kx) (sqrt.f64 (sin.f64 th))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sin.f64 kx)) (sin.f64 th)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 kx)) (sin.f64 th)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (sqrt.f64 (sin.f64 th))) (/.f64 (cbrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 th))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (sin.f64 kx)) (cbrt.f64 (sin.f64 th))))
(pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1 binary64))
(neg.f64 (neg.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(exp.f64 (log.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 kx))) #s(literal 1 binary64))
(*.f64 (sin.f64 kx) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 kx))
(*.f64 (cbrt.f64 (sin.f64 kx)) (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 kx)))
(*.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx)))
(*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (fabs.f64 (cbrt.f64 (sin.f64 kx))))
(pow.f64 (sin.f64 kx) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 kx)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 kx))))
(cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))
(sin.f64 kx)
(expm1.f64 (log1p.f64 (sin.f64 kx)))
(log1p.f64 (expm1.f64 (sin.f64 kx)))
(exp.f64 (log.f64 (sin.f64 kx)))
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (sin.f64 ky))) (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (sin.f64 ky))))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal -1 binary64)))
(pow.f64 (sin.f64 ky) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (sin.f64 ky))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)))
(sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(exp.f64 (neg.f64 (log.f64 (sin.f64 ky))))
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 ky))) #s(literal 1 binary64)))

Outputs
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 th (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64)))) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(.f64 th (fma.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 #s(literal -1/6 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64)))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))
(.f64 th (fma.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64)))) #s(literal 1/120 binary64))))))
(.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64)))) #s(literal 1/120 binary64))) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))))
(.f64 th (fma.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64)))) (.f64 (.f64 (sin.f64 ky) #s(literal 1/120 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))))
(.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64)))) #s(literal -1/5040 binary64) (.f64 (.f64 (sin.f64 ky) #s(literal 1/120 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 (.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
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(pow.f64 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)) #s(literal -1 binary64))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky))) #s(literal -1 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(exp.f64 (-.f64 (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (log.f64 (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(*.f64 (sin.f64 kx) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (sin.f64 kx) (sin.f64 th))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) #s(literal 1 binary64))
(/.f64 (sin.f64 kx) (sin.f64 th))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (sin.f64 kx)) (sin.f64 th)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 (cbrt.f64 (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (sin.f64 kx)) (sin.f64 th)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) #s(literal 2 binary64)))
(/.f64 (sin.f64 kx) (sin.f64 th))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 (sin.f64 kx) (sin.f64 th))
(*.f64 (sqrt.f64 (sin.f64 kx)) (/.f64 (sqrt.f64 (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 kx) (sin.f64 th))
(.f64 (sqrt.f64 (sin.f64 kx)) (.f64 (sqrt.f64 (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(/.f64 (sin.f64 kx) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) (sqrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 (sin.f64 kx) (sin.f64 th))
(*.f64 (neg.f64 (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 th))))
(/.f64 (sin.f64 kx) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 kx))
(/.f64 (sin.f64 kx) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))) (/.f64 (sin.f64 kx) (cbrt.f64 (sin.f64 th))))
(/.f64 (/.f64 (sin.f64 kx) (cbrt.f64 (sin.f64 th))) (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 th))) (/.f64 (sin.f64 kx) (sqrt.f64 (sin.f64 th))))
(/.f64 (sin.f64 kx) (sin.f64 th))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sin.f64 kx)) (sin.f64 th)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (sin.f64 kx)) (sin.f64 th)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 kx) (sin.f64 th))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (sqrt.f64 (sin.f64 th))) (/.f64 (cbrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 th))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (sin.f64 kx)) (sin.f64 th)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (sin.f64 kx)) (cbrt.f64 (sin.f64 th))))
(pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) #s(literal 1 binary64))
(/.f64 (sin.f64 kx) (sin.f64 th))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) #s(literal 3 binary64))
(/.f64 (sin.f64 kx) (sin.f64 th))
(pow.f64 (pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (sin.f64 kx) (sin.f64 th))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) #s(literal 2 binary64))
(/.f64 (sin.f64 kx) (sin.f64 th))
(pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))
(neg.f64 (neg.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 (sin.f64 kx) (sin.f64 th))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))
(log.f64 (exp.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 (sin.f64 kx) (sin.f64 th))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))))
(/.f64 (sin.f64 kx) (sin.f64 th))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) #s(literal 3 binary64)))
(/.f64 (sin.f64 kx) (sin.f64 th))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(/.f64 (sin.f64 kx) (sin.f64 th))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 (sin.f64 kx) (sin.f64 th))
(exp.f64 (log.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 (sin.f64 kx) (sin.f64 th))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 kx) (sin.f64 th))) #s(literal 1 binary64)))
(/.f64 (sin.f64 kx) (sin.f64 th))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 kx))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sin.f64 kx)))
(*.f64 (sin.f64 kx) #s(literal 1 binary64))
(sin.f64 kx)
(*.f64 #s(literal 1 binary64) (sin.f64 kx))
(sin.f64 kx)
(*.f64 (cbrt.f64 (sin.f64 kx)) (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 kx)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 kx)))
(*.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx)))
(sin.f64 kx)
(*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (fabs.f64 (cbrt.f64 (sin.f64 kx))))
(pow.f64 (sin.f64 kx) #s(literal 1 binary64))
(sin.f64 kx)
(pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 3 binary64))
(sin.f64 kx)
(pow.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sin.f64 kx)
(pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 2 binary64))
(sin.f64 kx)
(sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(sin.f64 kx)
(log.f64 (exp.f64 (sin.f64 kx)))
(sin.f64 kx)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 kx))))
(sin.f64 kx)
(cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))
(sin.f64 kx)
(sin.f64 kx)
(expm1.f64 (log1p.f64 (sin.f64 kx)))
(log1p.f64 (expm1.f64 (sin.f64 kx)))
(sin.f64 kx)
(exp.f64 (log.f64 (sin.f64 kx)))
(sin.f64 kx)
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(sin.f64 kx)
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (sin.f64 ky))) (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal -2 binary64))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal -2 binary64))) (cbrt.f64 (sin.f64 ky)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (sin.f64 ky))) (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal -2 binary64))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal -2 binary64))) (cbrt.f64 (sin.f64 ky)))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal -2 binary64))
(pow.f64 (sin.f64 ky) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (sin.f64 ky))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(exp.f64 (neg.f64 (log.f64 (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 ky))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))

eval305.0ms (2.5%)

Memory: 21.4MiB live, 288.9MiB allocated
Compiler: Compiled 19 517 to 3 700 computations (81% saved)

prune359.0ms (2.9%)

Memory

-14.7MiB live, 580.9MiB allocated

Pruning

75 alts after pruning (63 fresh and 12 done)

	Pruned	Kept	Total
New	1 052	21	1 073
Fresh	4	42	46
Picked	2	3	5
Done	0	9	9
Total	1 058	75	1 133

Accuracy

100.0%

Counts

1 133 → 75

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.8%	(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
	31.6%	(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
	60.9%	(/.f64 (-.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	94.5%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	40.5%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx)))
	22.2%	(/.f64 (*.f64 th (sin.f64 ky)) (fabs.f64 (sin.f64 kx)))
	27.4%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	35.5%	(/.f64 (*.f64 ky (sin.f64 th)) (fabs.f64 (sin.f64 kx)))
✓	99.7%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	31.9%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
	29.6%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
	51.8%	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky)))
✓	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	51.9%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
	19.8%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
✓	31.9%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	23.9%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (log.f64 (exp.f64 (sin.f64 th)))))
	20.4%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
✓	42.7%	(/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)))
	24.3%	(/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) th))
	99.4%	(/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
	31.9%	(/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))
	31.9%	(/.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 kx)))
	22.9%	(/.f64 (sin.f64 ky) (exp.f64 (log.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))))
✓	99.6%	(/.f64 (log1p.f64 (expm1.f64 (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	51.9%	(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	51.9%	(/.f64 th (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
	29.6%	(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
	37.7%	(/.f64 ky (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)))
	20.3%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) th) (sin.f64 ky)))
	12.0%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 kx) #s(literal 2 binary64)) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky)))))
	29.8%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky)))))
	29.4%	(/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))))))
	31.9%	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
✓	28.6%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (sin.f64 th))
	16.0%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) th)
	42.6%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) th)
	23.8%	(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
	24.2%	(.f64 (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (sin.f64 th))
	29.6%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	36.3%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 ky) (sin.f64 th)))
	29.4%	(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 ky)) #s(literal -1 binary64)))
	29.7%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
	99.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (sin.f64 th))
	28.6%	(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
	36.2%	(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
	15.9%	(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
	19.2%	(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) ky))
✓	99.7%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	53.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
	47.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))
	19.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
	32.1%	(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
	20.4%	(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
	26.1%	(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 th)))))
✓	32.3%	(sin.f64 th)
	32.2%	(log1p.f64 (expm1.f64 (sin.f64 th)))
	26.2%	(log.f64 (-.f64 (exp.f64 (log1p.f64 (exp.f64 (sin.f64 th)))) #s(literal 1 binary64)))
	13.7%	(log.f64 (+.f64 th #s(literal 1 binary64)))
	26.3%	(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
	26.3%	(log.f64 (log.f64 (exp.f64 (exp.f64 (sin.f64 th)))))
✓	26.3%	(log.f64 (exp.f64 (sin.f64 th)))
	23.5%	(log.f64 (exp.f64 (fabs.f64 (sin.f64 th))))
	29.4%	(fabs.f64 (sin.f64 th))
	31.7%	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 th))) #s(literal 3 binary64)))
	19.7%	(expm1.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) th) #s(literal 1/2 binary64))))
	12.4%	(expm1.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/2 binary64)))
✓	20.1%	(expm1.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th #s(literal -1/2 binary64)))))
	20.1%	(expm1.f64 (.f64 th (.f64 th (-.f64 (/.f64 #s(literal 1 binary64) th) #s(literal 1/2 binary64)))))
✓	32.2%	(expm1.f64 (log1p.f64 (sin.f64 th)))
	29.4%	(expm1.f64 (log1p.f64 (fabs.f64 (sin.f64 th))))
	26.4%	(expm1.f64 (log.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64))))
	23.8%	(exp.f64 (log.f64 (sin.f64 th)))
	31.8%	(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
✓	17.7%	th

Compiler

Compiled 1 902 to 953 computations (49.9% saved)

regimes450.0ms (3.7%)

Memory

8.9MiB live, 492.8MiB allocated

Counts

100 → 1

Calls

Call 1

Inputs
th
(sin.f64 th)
(log.f64 (+.f64 th #s(literal 1 binary64)))
(expm1.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th #s(literal -1/2 binary64)))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(expm1.f64 (.f64 th (.f64 th (-.f64 (/.f64 #s(literal 1 binary64) th) #s(literal 1/2 binary64)))))
(fabs.f64 (sin.f64 th))
(expm1.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) th) (sin.f64 ky)))
(expm1.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) th) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(expm1.f64 (log.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(/.f64 ky (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (fabs.f64 (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (fabs.f64 (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (neg.f64 (sin.f64 th)))))
(.f64 (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) th)
(/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 kx) #s(literal 2 binary64)) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky)))))
(expm1.f64 (log1p.f64 (fabs.f64 (sin.f64 th))))
(log.f64 (exp.f64 (fabs.f64 (sin.f64 th))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 th)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))
(/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky)))))
(/.f64 th (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 ky)) #s(literal -1 binary64)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
(log.f64 (log.f64 (exp.f64 (exp.f64 (sin.f64 th)))))
(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 th))) #s(literal 3 binary64)))
(log.f64 (-.f64 (exp.f64 (log1p.f64 (exp.f64 (sin.f64 th)))) #s(literal 1 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (log.f64 (exp.f64 (sin.f64 ky)))))
(/.f64 (sin.f64 ky) (exp.f64 (log.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (log.f64 (exp.f64 (sin.f64 th)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(/.f64 (-.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) th)
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
(.f64 (sin.f64 ky) (.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (sin.f64 ky) (/.f64 (log.f64 (exp.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (log1p.f64 (expm1.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (log1p.f64 (expm1.f64 (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))

Outputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))

Calls

9 calls:

106.0ms	(sin.f64 ky)
79.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
62.0ms	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
48.0ms	th
39.0ms	ky

Results

Accuracy	Segments	Branch
99.7%	1	`kx`
99.7%	1	`ky`
99.7%	1	`th`
99.7%	1	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
99.7%	1	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
99.7%	1	`(sin.f64 ky)`
99.7%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
99.7%	1	`(sin.f64 kx)`
99.7%	1	`(sin.f64 th)`

Compiler

Compiled 69 to 51 computations (26.1% saved)

regimes193.0ms (1.6%)

Memory

1.3MiB live, 314.6MiB allocated

Counts

82 → 1

Calls

Call 1

Inputs
th
(sin.f64 th)
(log.f64 (+.f64 th #s(literal 1 binary64)))
(expm1.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th #s(literal -1/2 binary64)))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(expm1.f64 (.f64 th (.f64 th (-.f64 (/.f64 #s(literal 1 binary64) th) #s(literal 1/2 binary64)))))
(fabs.f64 (sin.f64 th))
(expm1.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) th) (sin.f64 ky)))
(expm1.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) th) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(expm1.f64 (log.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(/.f64 ky (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (fabs.f64 (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (fabs.f64 (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (neg.f64 (sin.f64 th)))))
(.f64 (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) th)
(/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 kx) #s(literal 2 binary64)) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky)))))
(expm1.f64 (log1p.f64 (fabs.f64 (sin.f64 th))))
(log.f64 (exp.f64 (fabs.f64 (sin.f64 th))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 th)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))
(/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky)))))
(/.f64 th (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 ky)) #s(literal -1 binary64)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
(log.f64 (log.f64 (exp.f64 (exp.f64 (sin.f64 th)))))
(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 th))) #s(literal 3 binary64)))
(log.f64 (-.f64 (exp.f64 (log1p.f64 (exp.f64 (sin.f64 th)))) #s(literal 1 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (log.f64 (exp.f64 (sin.f64 ky)))))
(/.f64 (sin.f64 ky) (exp.f64 (log.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (log.f64 (exp.f64 (sin.f64 th)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))

Outputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

Calls

6 calls:

65.0ms	ky
27.0ms	(sin.f64 kx)
24.0ms	(sin.f64 ky)
24.0ms	(sin.f64 th)
23.0ms	th

Results

Accuracy	Segments	Branch
99.7%	1	`kx`
99.7%	1	`ky`
99.7%	1	`th`
99.7%	1	`(sin.f64 ky)`
99.7%	1	`(sin.f64 kx)`
99.7%	1	`(sin.f64 th)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes208.0ms (1.7%)

Memory

-5.8MiB live, 237.7MiB allocated

Counts

80 → 2

Calls

Call 1

Inputs
th
(sin.f64 th)
(log.f64 (+.f64 th #s(literal 1 binary64)))
(expm1.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th #s(literal -1/2 binary64)))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(expm1.f64 (.f64 th (.f64 th (-.f64 (/.f64 #s(literal 1 binary64) th) #s(literal 1/2 binary64)))))
(fabs.f64 (sin.f64 th))
(expm1.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) th) (sin.f64 ky)))
(expm1.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) th) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(expm1.f64 (log.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(/.f64 ky (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (fabs.f64 (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (fabs.f64 (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (neg.f64 (sin.f64 th)))))
(.f64 (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) th)
(/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 kx) #s(literal 2 binary64)) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky)))))
(expm1.f64 (log1p.f64 (fabs.f64 (sin.f64 th))))
(log.f64 (exp.f64 (fabs.f64 (sin.f64 th))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 th)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))
(/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky)))))
(/.f64 th (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 ky)) #s(literal -1 binary64)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
(log.f64 (log.f64 (exp.f64 (exp.f64 (sin.f64 th)))))
(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 th))) #s(literal 3 binary64)))
(log.f64 (-.f64 (exp.f64 (log1p.f64 (exp.f64 (sin.f64 th)))) #s(literal 1 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (log.f64 (exp.f64 (sin.f64 ky)))))
(/.f64 (sin.f64 ky) (exp.f64 (log.f64 (/.f64 (sin.f64 kx) (sin.f64 th)))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (log.f64 (exp.f64 (sin.f64 th)))))

Outputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)))

Calls

6 calls:

83.0ms	(sin.f64 ky)
27.0ms	kx
26.0ms	(sin.f64 th)
22.0ms	(sin.f64 kx)
22.0ms	th

Results

Accuracy	Segments	Branch
81.4%	2	`kx`
81.2%	2	`ky`
81.7%	4	`th`
81.2%	3	`(sin.f64 ky)`
81.5%	3	`(sin.f64 kx)`
78.3%	3	`(sin.f64 th)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes42.0ms (0.3%)

Memory

-7.5MiB live, 70.9MiB allocated

Counts

64 → 2

Calls

Call 1

Inputs
th
(sin.f64 th)
(log.f64 (+.f64 th #s(literal 1 binary64)))
(expm1.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th #s(literal -1/2 binary64)))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(expm1.f64 (.f64 th (.f64 th (-.f64 (/.f64 #s(literal 1 binary64) th) #s(literal 1/2 binary64)))))
(fabs.f64 (sin.f64 th))
(expm1.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) th) (sin.f64 ky)))
(expm1.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) th) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(expm1.f64 (log.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(/.f64 ky (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (fabs.f64 (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (fabs.f64 (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (neg.f64 (sin.f64 th)))))
(.f64 (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) th)
(/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 kx) #s(literal 2 binary64)) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky)))))
(expm1.f64 (log1p.f64 (fabs.f64 (sin.f64 th))))
(log.f64 (exp.f64 (fabs.f64 (sin.f64 th))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 th)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))
(/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))

Outputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))

Calls

2 calls:

18.0ms	kx
17.0ms	ky

Results

Accuracy	Segments	Branch
81.1%	2	`ky`
69.1%	2	`kx`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes148.0ms (1.2%)

Memory

11.0MiB live, 169.4MiB allocated

Counts

63 → 4

Calls

Call 1

Inputs
th
(sin.f64 th)
(log.f64 (+.f64 th #s(literal 1 binary64)))
(expm1.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th #s(literal -1/2 binary64)))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(expm1.f64 (.f64 th (.f64 th (-.f64 (/.f64 #s(literal 1 binary64) th) #s(literal 1/2 binary64)))))
(fabs.f64 (sin.f64 th))
(expm1.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) th) (sin.f64 ky)))
(expm1.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) th) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(expm1.f64 (log.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(/.f64 ky (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (fabs.f64 (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (fabs.f64 (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (neg.f64 (sin.f64 th)))))
(.f64 (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) th)
(/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 kx) #s(literal 2 binary64)) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky)))))
(expm1.f64 (log1p.f64 (fabs.f64 (sin.f64 th))))
(log.f64 (exp.f64 (fabs.f64 (sin.f64 th))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 th)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))
(/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

Outputs
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))
(/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))

Calls

5 calls:

72.0ms	(sin.f64 kx)
19.0ms	(sin.f64 ky)
18.0ms	th
17.0ms	(sin.f64 th)
16.0ms	ky

Results

Accuracy	Segments	Branch
74.2%	3	`(sin.f64 th)`
79.1%	4	`th`
67.5%	3	`(sin.f64 ky)`
69.2%	3	`(sin.f64 kx)`
67.4%	2	`ky`

Compiler

Compiled 23 to 18 computations (21.7% saved)

regimes60.0ms (0.5%)

Memory

9.6MiB live, 127.4MiB allocated

Counts

62 → 2

Calls

Call 1

Inputs
th
(sin.f64 th)
(log.f64 (+.f64 th #s(literal 1 binary64)))
(expm1.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th #s(literal -1/2 binary64)))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(expm1.f64 (.f64 th (.f64 th (-.f64 (/.f64 #s(literal 1 binary64) th) #s(literal 1/2 binary64)))))
(fabs.f64 (sin.f64 th))
(expm1.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) th) (sin.f64 ky)))
(expm1.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) th) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(expm1.f64 (log.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(/.f64 ky (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (fabs.f64 (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (fabs.f64 (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (neg.f64 (sin.f64 th)))))
(.f64 (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) th)
(/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 kx) #s(literal 2 binary64)) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky)))))
(expm1.f64 (log1p.f64 (fabs.f64 (sin.f64 th))))
(log.f64 (exp.f64 (fabs.f64 (sin.f64 th))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 th)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))
(/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 kx)))

Outputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))
(/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)))

Calls

3 calls:

19.0ms	(sin.f64 th)
18.0ms	kx
18.0ms	th

Results

Accuracy	Segments	Branch
69.1%	2	`kx`
51.2%	3	`(sin.f64 th)`
56.1%	5	`th`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes59.0ms (0.5%)

Memory

-2.8MiB live, 117.8MiB allocated

Counts

60 → 2

Calls

Call 1

Inputs
th
(sin.f64 th)
(log.f64 (+.f64 th #s(literal 1 binary64)))
(expm1.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th #s(literal -1/2 binary64)))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(expm1.f64 (.f64 th (.f64 th (-.f64 (/.f64 #s(literal 1 binary64) th) #s(literal 1/2 binary64)))))
(fabs.f64 (sin.f64 th))
(expm1.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) th) (sin.f64 ky)))
(expm1.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) th) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(expm1.f64 (log.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(/.f64 ky (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (fabs.f64 (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (fabs.f64 (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (neg.f64 (sin.f64 th)))))
(.f64 (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) th)
(/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 kx) #s(literal 2 binary64)) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky)))))
(expm1.f64 (log1p.f64 (fabs.f64 (sin.f64 th))))
(log.f64 (exp.f64 (fabs.f64 (sin.f64 th))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 th)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))

Outputs
(/.f64 ky (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))

Calls

3 calls:

18.0ms	ky
17.0ms	kx
17.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
67.4%	2	`ky`
66.6%	3	`(sin.f64 kx)`
65.0%	2	`kx`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes76.0ms (0.6%)

Memory

-13.0MiB live, 147.3MiB allocated

Counts

59 → 3

Calls

Call 1

Inputs
th
(sin.f64 th)
(log.f64 (+.f64 th #s(literal 1 binary64)))
(expm1.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th #s(literal -1/2 binary64)))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(expm1.f64 (.f64 th (.f64 th (-.f64 (/.f64 #s(literal 1 binary64) th) #s(literal 1/2 binary64)))))
(fabs.f64 (sin.f64 th))
(expm1.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) th) (sin.f64 ky)))
(expm1.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) th) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(expm1.f64 (log.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(/.f64 ky (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (fabs.f64 (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (fabs.f64 (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (neg.f64 (sin.f64 th)))))
(.f64 (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) th)
(/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 kx) #s(literal 2 binary64)) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky)))))
(expm1.f64 (log1p.f64 (fabs.f64 (sin.f64 th))))
(log.f64 (exp.f64 (fabs.f64 (sin.f64 th))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 th)))))

Outputs
(log.f64 (exp.f64 (fabs.f64 (sin.f64 th))))
(/.f64 ky (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)))
(sin.f64 th)

Calls

4 calls:

20.0ms	kx
17.0ms	(sin.f64 ky)
17.0ms	(sin.f64 kx)
17.0ms	ky

Results

Accuracy	Segments	Branch
53.9%	2	`kx`
55.9%	3	`(sin.f64 kx)`
56.1%	3	`(sin.f64 ky)`
52.1%	2	`ky`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes47.0ms (0.4%)

Memory

-7.7MiB live, 31.1MiB allocated

Counts

57 → 3

Calls

Call 1

Inputs
th
(sin.f64 th)
(log.f64 (+.f64 th #s(literal 1 binary64)))
(expm1.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th #s(literal -1/2 binary64)))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(expm1.f64 (.f64 th (.f64 th (-.f64 (/.f64 #s(literal 1 binary64) th) #s(literal 1/2 binary64)))))
(fabs.f64 (sin.f64 th))
(expm1.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) th) (sin.f64 ky)))
(expm1.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) th) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(expm1.f64 (log.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(/.f64 ky (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (fabs.f64 (sin.f64 kx)))
(/.f64 (*.f64 th (sin.f64 ky)) (fabs.f64 (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (neg.f64 (sin.f64 th)))))
(.f64 (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) th)
(/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))))))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(.f64 (.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 kx) #s(literal 2 binary64)) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky)))))
(expm1.f64 (log1p.f64 (fabs.f64 (sin.f64 th))))

Outputs
(fabs.f64 (sin.f64 th))
(/.f64 ky (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)))
(sin.f64 th)

Calls

1 calls:

15.0ms

(sin.f64 ky)

Results

Accuracy	Segments	Branch
56.0%	3	`(sin.f64 ky)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes57.0ms (0.5%)

Memory

33.9MiB live, 110.8MiB allocated

Counts

34 → 3

Calls

Call 1

Inputs
th
(sin.f64 th)
(log.f64 (+.f64 th #s(literal 1 binary64)))
(expm1.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th #s(literal -1/2 binary64)))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(expm1.f64 (.f64 th (.f64 th (-.f64 (/.f64 #s(literal 1 binary64) th) #s(literal 1/2 binary64)))))
(fabs.f64 (sin.f64 th))
(expm1.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) th) (sin.f64 ky)))
(expm1.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) th) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(expm1.f64 (log.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))

Outputs
(fabs.f64 (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(sin.f64 th)

Calls

5 calls:

15.0ms	ky
10.0ms	(sin.f64 kx)
10.0ms	th
10.0ms	(sin.f64 ky)
10.0ms	kx

Results

Accuracy	Segments	Branch
37.3%	3	`th`
47.7%	2	`ky`
47.7%	2	`kx`
49.2%	3	`(sin.f64 kx)`
51.7%	3	`(sin.f64 ky)`

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes14.0ms (0.1%)

Memory

-15.9MiB live, 24.4MiB allocated

Counts

30 → 3

Calls

Call 1

Inputs
th
(sin.f64 th)
(log.f64 (+.f64 th #s(literal 1 binary64)))
(expm1.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th #s(literal -1/2 binary64)))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(expm1.f64 (.f64 th (.f64 th (-.f64 (/.f64 #s(literal 1 binary64) th) #s(literal 1/2 binary64)))))
(fabs.f64 (sin.f64 th))
(expm1.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) th) (sin.f64 ky)))
(expm1.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) th) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(expm1.f64 (log.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))

Outputs
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(sin.f64 th)

Calls

1 calls:

12.0ms

(sin.f64 ky)

Results

Accuracy	Segments	Branch
51.7%	3	`(sin.f64 ky)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes11.0ms (0.1%)

Memory

-8.3MiB live, 31.0MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
th
(sin.f64 th)
(log.f64 (+.f64 th #s(literal 1 binary64)))
(expm1.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th #s(literal -1/2 binary64)))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(expm1.f64 (.f64 th (.f64 th (-.f64 (/.f64 #s(literal 1 binary64) th) #s(literal 1/2 binary64)))))
(fabs.f64 (sin.f64 th))
(expm1.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/2 binary64)))

Outputs
(log.f64 (+.f64 th #s(literal 1 binary64)))
(sin.f64 th)

Calls

3 calls:

4.0ms	ky
3.0ms	kx
3.0ms	(sin.f64 th)

Results

Accuracy	Segments	Branch
36.2%	2	`ky`
35.9%	2	`kx`
32.3%	1	`(sin.f64 th)`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes5.0ms (0%)

Memory

17.2MiB live, 17.2MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
th
(sin.f64 th)

Outputs
(sin.f64 th)

Calls

3 calls:

2.0ms	ky
2.0ms	kx
2.0ms	th

Results

Accuracy	Segments	Branch
32.3%	1	`th`
32.3%	1	`kx`
32.3%	1	`ky`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Memory

15.1MiB live, 15.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
th

Outputs
th

Calls

3 calls:

1.0ms	th
1.0ms	ky
1.0ms	kx

Results

Accuracy	Segments	Branch
17.7%	1	`kx`
17.7%	1	`ky`
17.7%	1	`th`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch27.0ms (0.2%)

Memory

-25.6MiB live, 52.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	8.753319840605616e-10	3.676773617811854e-7

Samples

15.0ms

128×

valid

Compiler

Compiled 238 to 170 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sin: 6.0ms (51.2% of total)

ival-pow2: 2.0ms (17.1% of total)

ival-div: 1.0ms (8.5% of total)

ival-add: 1.0ms (8.5% of total)

ival-mult: 1.0ms (8.5% of total)

ival-sqrt: 1.0ms (8.5% of total)

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

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

bsearch29.0ms (0.2%)

Memory

11.9MiB live, 52.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	9.599580157310558e-8	0.011724039522905103

Samples

22.0ms

144×

valid

Compiler

Compiled 265 to 189 computations (28.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sin: 7.0ms (38.8% of total)

ival-mult: 6.0ms (33.3% of total)

ival-pow2: 2.0ms (11.1% of total)

ival-div: 1.0ms (5.5% of total)

ival-add: 1.0ms (5.5% of total)

ival-sqrt: 1.0ms (5.5% of total)

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

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

bsearch62.0ms (0.5%)

Memory

-16.0MiB live, 137.0MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	2.254133789431711e+168	5.6742913678788556e+169
16.0ms	5.272919630180074e+114	1.1405755949279632e+115
16.0ms	0.003608223694514972	0.014681382662616626

Samples

44.0ms

288×

valid

Compiler

Compiled 496 to 354 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-sin: 22.0ms (63% of total)

ival-pow2: 5.0ms (14.3% of total)

ival-sqrt: 3.0ms (8.6% of total)

ival-div: 2.0ms (5.7% of total)

ival-mult: 2.0ms (5.7% of total)

ival-add: 1.0ms (2.9% of total)

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

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

bsearch23.0ms (0.2%)

Memory

13.6MiB live, 52.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	8.753319840605616e-10	3.676773617811854e-7

Samples

17.0ms

128×

valid

Compiler

Compiled 230 to 170 computations (26.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sin: 7.0ms (59.4% of total)

ival-pow2: 2.0ms (17% of total)

ival-div: 1.0ms (8.5% of total)

ival-add: 1.0ms (8.5% of total)

ival-mult: 1.0ms (8.5% of total)

ival-sqrt: 1.0ms (8.5% of total)

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

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

bsearch29.0ms (0.2%)

Memory

-4.6MiB live, 69.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	9.599580157310558e-8	0.011724039522905103

Samples

19.0ms

144×

valid

Compiler

Compiled 247 to 180 computations (27.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-sin: 9.0ms (61% of total)

ival-pow2: 2.0ms (13.6% of total)

ival-div: 1.0ms (6.8% of total)

ival-add: 1.0ms (6.8% of total)

ival-mult: 1.0ms (6.8% of total)

ival-sqrt: 1.0ms (6.8% of total)

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

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

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.599580157310543e-8	0.011723770940482816
0.0ms	-0.01790909017662536	9.174576347093344e-308

Compiler

Compiled 21 to 18 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.599580157310543e-8	0.011723770940482816
0.0ms	-0.01790909017662536	9.174576347093344e-308

Compiler

Compiled 21 to 18 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.573216188728702e-107	1.969793864530916e-106
0.0ms	-0.058241014669531	-0.052182620864201966

Compiler

Compiled 21 to 18 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.573216188728702e-107	1.969793864530916e-106
0.0ms	-0.01790909017662536	9.174576347093344e-308

Compiler

Compiled 21 to 18 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	9.743227744183283e-182	9.779353266777232e-182

Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify8.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative`
3×	`1-exp`
2×	`if-if-or-not`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	1008
1	102	1008

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(if (<=.f64 kx #s(literal 6800207735332289/18889465931478580854784 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))) (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 ky #s(literal 4150517416584649/1152921504606846976 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky)))))
(if (<=.f64 th #s(literal 3314649325744685/288230376151711744 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 th #s(literal 11000000000000000171153577424135273266950215366131675767067476384739171592812312735914839289065521924438269089546240 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky)))) (if (<=.f64 th #s(literal 3400000000000000026522081124549809129077599452222742053517864731953558031095429471710429834704882035416252576268414242204931235762325817005035461642370863795111827865600 binary64)) (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky)))))))
(if (<=.f64 kx #s(literal 6189700196426901/4835703278458516698824704 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky)))) (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 ky #s(literal 2833419889721787/9444732965739290427392 binary64)) (/.f64 ky (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky)))))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/576460752303423488 binary64)) (log.f64 (exp.f64 (fabs.f64 (sin.f64 th)))) (if (<=.f64 (sin.f64 ky) #s(literal 944473296573929/9444732965739290427392 binary64)) (/.f64 ky (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/576460752303423488 binary64)) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 944473296573929/9444732965739290427392 binary64)) (/.f64 ky (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -7926335344172073/144115188075855872 binary64)) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 8263199609878107/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/576460752303423488 binary64)) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 8263199609878107/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 ky #s(literal 56939258907925/583992399055640987986069965529637289586333248927815671114136642291107221402710705472756839848623539171666215625420084135768154204336056063776340648924443416096255318318113913610607896607565283328 binary64)) (log.f64 (+.f64 th #s(literal 1 binary64))) (sin.f64 th))
(sin.f64 th)
th

Outputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(if (<=.f64 kx #s(literal 6800207735332289/18889465931478580854784 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))) (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 ky #s(literal 4150517416584649/1152921504606846976 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky)))))
(if (<=.f64 th #s(literal 3314649325744685/288230376151711744 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 th #s(literal 11000000000000000171153577424135273266950215366131675767067476384739171592812312735914839289065521924438269089546240 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky)))) (if (<=.f64 th #s(literal 3400000000000000026522081124549809129077599452222742053517864731953558031095429471710429834704882035416252576268414242204931235762325817005035461642370863795111827865600 binary64)) (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky)))))))
(if (<=.f64 th #s(literal 3314649325744685/288230376151711744 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (or (<=.f64 th #s(literal 11000000000000000171153577424135273266950215366131675767067476384739171592812312735914839289065521924438269089546240 binary64)) (not (<=.f64 th #s(literal 3400000000000000026522081124549809129077599452222742053517864731953558031095429471710429834704882035416252576268414242204931235762325817005035461642370863795111827865600 binary64)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky)))) (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th)))))
(if (<=.f64 kx #s(literal 6189700196426901/4835703278458516698824704 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky)))) (/.f64 (sin.f64 ky) (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 ky #s(literal 2833419889721787/9444732965739290427392 binary64)) (/.f64 ky (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky)))))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/576460752303423488 binary64)) (log.f64 (exp.f64 (fabs.f64 (sin.f64 th)))) (if (<=.f64 (sin.f64 ky) #s(literal 944473296573929/9444732965739290427392 binary64)) (/.f64 ky (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/576460752303423488 binary64)) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 944473296573929/9444732965739290427392 binary64)) (/.f64 ky (/.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 th))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -7926335344172073/144115188075855872 binary64)) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 8263199609878107/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/576460752303423488 binary64)) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 8263199609878107/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 ky #s(literal 56939258907925/583992399055640987986069965529637289586333248927815671114136642291107221402710705472756839848623539171666215625420084135768154204336056063776340648924443416096255318318113913610607896607565283328 binary64)) (log.f64 (+.f64 th #s(literal 1 binary64))) (sin.f64 th))
(sin.f64 th)
th

soundness2.1s (17.1%)

Memory

5.9MiB live, 1 959.0MiB allocated

Rules

968×	`fma-define`
888×	`log1p-expm1-u`
840×	`fma-define`
806×	`expm1-log1p-u`
761×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1419	32630
1	3712	31889
0	1234	38820
1	3245	37133
0	31	383
1	514	343
2	7632	343
0	840	24259
1	2122	22959
2	7173	22959
0	23	256
1	341	256
2	3880	256
0	53	717
1	111	529
2	240	529
3	420	529
4	939	529
5	2219	529
6	3228	529
7	3753	529
8	4121	529
9	4212	529
10	4251	529
11	4251	529

Stop Event

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

Compiler

Compiled 1 057 to 333 computations (68.5% saved)

preprocess89.0ms (0.7%)

Memory

9.3MiB live, 244.8MiB allocated

Remove

(negabs th)

(negabs ky)

(abs kx)

Compiler

Compiled 896 to 392 computations (56.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	31	526
1	63	502
2	114	496
3	187	496
4	275	496
5	371	496
6	467	496
7	506	496
8	578	496
9	618	496
10	629	496
11	648	496

Iter	Nodes	Cost
0	31	526
1	63	502
2	114	496
3	187	496
4	275	496
5	371	496
6	467	496
7	506	496
8	578	496
9	618	496
10	629	496
11	648	496

analyze351.0ms (2.8%)

sample1.7s (13.5%)

preprocess180.0ms (1.5%)

explain203.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.1%)

localize74.0ms (0.6%)

series59.0ms (0.5%)

rewrite285.0ms (2.3%)

simplify317.0ms (2.6%)

eval134.0ms (1.1%)

prune109.0ms (0.9%)

simplify89.0ms (0.7%)

localize194.0ms (1.6%)

series70.0ms (0.6%)

rewrite242.0ms (2%)

simplify353.0ms (2.9%)

eval188.0ms (1.5%)

prune225.0ms (1.8%)

simplify99.0ms (0.8%)

localize270.0ms (2.2%)

series93.0ms (0.8%)

rewrite364.0ms (3%)

simplify314.0ms (2.5%)

eval432.0ms (3.5%)

prune405.0ms (3.3%)

simplify49.0ms (0.4%)

localize291.0ms (2.4%)

series107.0ms (0.9%)

rewrite288.0ms (2.3%)

simplify453.0ms (3.7%)

eval305.0ms (2.5%)

prune359.0ms (2.9%)

regimes450.0ms (3.7%)

regimes193.0ms (1.6%)

regimes208.0ms (1.7%)

regimes42.0ms (0.3%)

regimes148.0ms (1.2%)

regimes60.0ms (0.5%)

regimes59.0ms (0.5%)

regimes76.0ms (0.6%)

regimes47.0ms (0.4%)

regimes57.0ms (0.5%)

regimes14.0ms (0.1%)

regimes11.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

bsearch27.0ms (0.2%)

bsearch29.0ms (0.2%)

bsearch62.0ms (0.5%)

bsearch23.0ms (0.2%)

bsearch29.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness2.1s (17.1%)

preprocess89.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	31	526
1	63	502
2	114	496
3	187	496
4	275	496
5	371	496
6	467	496
7	506	496
8	578	496
9	618	496
10	629	496
11	648	496