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

analyze251.0ms (1.7%)

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 20 to 15 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

ival-sin: 43.0ms (28.2% of total)

ival-pow: 39.0ms (25.6% of total)

ival-sqrt: 30.0ms (19.7% of total)

ival-mult: 19.0ms (12.5% of total)

ival-div: 11.0ms (7.2% of total)

ival-add: 8.0ms (5.2% of total)

const: 2.0ms (1.3% of total)

backward-pass: 1.0ms (0.7% of total)

sample3.1s (21.2%)

Results

2.3s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-sin: 739.0ms (45.9% of total)

ival-pow: 560.0ms (34.8% of total)

ival-sqrt: 88.0ms (5.5% of total)

ival-add: 78.0ms (4.8% of total)

ival-mult: 64.0ms (4% of total)

ival-div: 59.0ms (3.7% of total)

const: 19.0ms (1.2% of total)

backward-pass: 4.0ms (0.2% of total)

Bogosity

preprocess181.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

968×	`fma-define`
307×	`fma-neg`
195×	`unsub-neg`
181×	`times-frac`
170×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	717
1	111	529
2	240	529
3	420	529
4	940	529
5	2219	529
6	3233	529
7	3758	529
8	4126	529
9	4217	529
10	4256	529
11	4256	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)

explain250.0ms (1.7%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
17	0	-	3	(1.4569364684623296e-155 1.9289983417834037e-194 5.517592443498748e-95)	`(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`
0	0	-	0	-	`kx`
0	0	-	0	-	`ky`
0	0	-	0	-	`(sin.f64 ky)`
0	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	-	0	-	`#s(literal 2 binary64)`
0	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	-	0	-	`th`
0	58	(2.0211174542548058e-156 3.555445030706823e+203 8.489263360337691e+107)	0	-	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
0	0	-	0	-	`(sin.f64 th)`
0	0	-	0	-	`(sin.f64 kx)`
0	0	-	0	-	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`
0	52	(6.892195522191388e-216 8.953536033118028e-122 3.590307280342954e-169)	0	-	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`

Results

178.0ms

512×

valid

Compiler

Compiled 159 to 90 computations (43.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

ival-pow: 59.0ms (44.1% of total)

ival-sin: 37.0ms (27.7% of total)

ival-add: 11.0ms (8.2% of total)

ival-sqrt: 11.0ms (8.2% of total)

ival-div: 8.0ms (6% of total)

ival-mult: 4.0ms (3% of total)

const: 3.0ms (2.2% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.9%	(*.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))
▶	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

Status

Accuracy

Program

▶

93.9%

(*.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))

▶

99.6%

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

Compiler

Compiled 33 to 23 computations (30.3% saved)

localize375.0ms (2.6%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	99.7%	(*.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))
✓	99.6%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	99.6%	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
✓	94.2%	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
✓	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	99.6%	(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

Results

348.0ms

256×

valid

Compiler

Compiled 103 to 41 computations (60.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 321.0ms

ival-pow: 275.0ms (85.6% of total)

ival-sin: 21.0ms (6.5% of total)

ival-div: 6.0ms (1.9% of total)

ival-add: 5.0ms (1.6% of total)

ival-sqrt: 5.0ms (1.6% of total)

ival-hypot: 4.0ms (1.2% of total)

ival-mult: 3.0ms (0.9% of total)

const: 2.0ms (0.6% of total)

backward-pass: 0.0ms (0% of total)

series51.0ms (0.3%)

Counts

7 → 148

Calls

Call 1

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

Outputs
#<alt (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))>
#<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))))>
#<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))))>
#<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))))>
#<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))))))>
#<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))))))>
#<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))))))>
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#<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))))))>
#<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))))))>
#<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))))))>
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#<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)))))))))))>
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#<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))))))>
#<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))))))>
#<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))))))>
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#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<alt (sin.f64 th)>
#<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)))))>
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#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<alt (*.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))))))>
#<alt (.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 #s(literal -1/6 binary64) (*.f64 (pow.f64 th #s(literal 2 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)))))))))>
#<alt (.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 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #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 #s(literal 1/120 binary64) (*.f64 (pow.f64 th #s(literal 2 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)))))))))))>
#<alt (.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 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #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 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 th #s(literal 2 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 #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))))))))))))>
#<alt (*.f64 (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))))))>
#<alt (*.f64 (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))))))>
#<alt (*.f64 (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))))))>
#<alt (*.f64 (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))))))>
#<alt (*.f64 (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))))))>
#<alt (*.f64 (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))))))>
#<alt (*.f64 (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))))))>
#<alt (*.f64 (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))))))>
#<alt (/.f64 (sin.f64 th) (sin.f64 kx))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (sin.f64 th) (sin.f64 kx)))>
#<alt (+.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 1/2 binary64) (.f64 (pow.f64 ky #s(literal 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)))>
#<alt (+.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 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 ky #s(literal 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 #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)))>
#<alt (*.f64 (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))))))>
#<alt (*.f64 (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))))))>
#<alt (*.f64 (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))))))>
#<alt (*.f64 (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))))))>
#<alt (*.f64 (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))))))>
#<alt (*.f64 (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))))))>
#<alt (*.f64 (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))))))>
#<alt (*.f64 (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))))))>
#<alt (/.f64 (sin.f64 th) (sin.f64 ky))>
#<alt (+.f64 (.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 3 binary64)))) (/.f64 (sin.f64 th) (sin.f64 ky)))>
#<alt (+.f64 (.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 3 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (.f64 (sin.f64 ky) (.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) (sin.f64 ky)))>
#<alt (+.f64 (.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 3 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 (sin.f64 ky) (.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 (sin.f64 ky) (.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) (sin.f64 ky)))>
#<alt (*.f64 (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))))))>
#<alt (*.f64 (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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#<alt (*.f64 (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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#<alt (sin.f64 kx)>
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#<alt (sin.f64 ky)>
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#<alt (sin.f64 ky)>
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#<alt (sin.f64 kx)>
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#<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))))))>
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#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))))>
#<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)))))))))))>
#<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)))))))))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>

Calls

45 calls:

Time	Variable		Point	Expression
7.0ms	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	kx	@	inf	(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
3.0ms	ky	@	inf	(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
2.0ms	kx	@	inf	(/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))

rewrite285.0ms (1.9%)

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	198
1	341	198
2	3880	198

Stop Event

1×	node limit

Counts

7 → 187

Calls

Call 1

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

simplify291.0ms (2%)

Algorithm

1×	egg-herbie

Rules

510×	`associate-r`
415×	`associate-l`
374×	`fma-define`
321×	`*-commutative`
226×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	589	19504
1	1533	18381
2	5642	18250

Stop Event

1×	node limit

Counts

335 → 274

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))))))))
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(/.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 #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)))
(-.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)))

Outputs
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 th) (/.f64 ky (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 (*.f64 (sin.f64 kx) (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 (sin.f64 th) (.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)))) (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 (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 (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 2 binary64))))) (.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 th) (.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)))) (sin.f64 kx))) (/.f64 (*.f64 (sin.f64 th) #s(literal 1/12 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 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 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 (.f64 (sin.f64 kx) (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 (.f64 (sin.f64 kx) (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 (.f64 (sin.f64 kx) (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))))
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(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (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 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (*.f64 (neg.f64 (sin.f64 th)) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 1 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.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 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.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))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 3 binary64))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(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))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 2 binary64))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(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)))))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(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))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(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 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(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))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(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 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(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 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))

eval83.0ms (0.6%)

Compiler: Compiled 7855 to 4174 computations (46.9% saved)

prune56.0ms (0.4%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	258	16	274
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	259	17	276

Accuracy

100.0%

Counts

276 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.4%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	25.0%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
▶	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
▶	85.4%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sin.f64 th))
	85.0%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	27.1%	(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
	99.5%	(*.f64 (sin.f64 ky) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal -1 binary64)))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	33.0%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
▶	30.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	88.5%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)))))
▶	99.4%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
	83.2%	(*.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
	45.7%	(.f64 th (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))
	27.2%	(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
▶	33.1%	(sin.f64 th)

Compiler

Compiled 470 to 333 computations (29.1% saved)

localize415.0ms (2.8%)

Localize:

Found 13 expressions with local error:

New	Accuracy	Program
✓	99.7%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sin.f64 th))
	99.6%	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
✓	94.2%	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 2 binary64)))))
✓	78.2%	(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 2 binary64)))
	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	99.7%	(/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	99.6%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
✓	99.5%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
✓	99.7%	(/.f64 (sin.f64 th) (sin.f64 kx))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	99.8%	(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))

Results

126.0ms	133×	0	valid
213.0ms	123×	1	valid

Compiler

Compiled 207 to 89 computations (57% saved)

Precisions

Click to see histograms. Total time spent on operations: 268.0ms

ival-cos: 80.0ms (29.9% of total)

ival-mult: 38.0ms (14.2% of total)

ival-div: 37.0ms (13.8% of total)

ival-sin: 25.0ms (9.3% of total)

ival-pow: 20.0ms (7.5% of total)

backward-pass: 18.0ms (6.7% of total)

ival-hypot: 15.0ms (5.6% of total)

ival-sub: 12.0ms (4.5% of total)

ival-sqrt: 8.0ms (3% of total)

ival-add: 7.0ms (2.6% of total)

const: 6.0ms (2.2% of total)

series77.0ms (0.5%)

Counts

10 → 272

Calls

Call 1

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

Outputs
#<alt (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))>
#<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))))>
#<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))))>
#<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))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
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#<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))))))>
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#<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))))))>
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#<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))))))>
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#<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))))))>
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#<alt (/.f64 ky (sin.f64 kx))>
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#<alt (.f64 ky (+.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (+.f64 (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 kx) (+.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 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 kx) (+.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 #s(literal -1/12 binary64) (.f64 (sin.f64 kx) (+.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 1/5040 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))))))) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt #s(literal 1 binary64)>
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#<alt (*.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))))))>
#<alt (*.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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#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64)))))) (.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) ky))))))))>
#<alt (+.f64 (.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) ky))))))) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64)))))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))))>
#<alt (+.f64 (.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) ky))))))) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64)))))) (.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 (sin.f64 ky) (.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 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (+.f64 (.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 4 binary64))))))))) (sqrt.f64 (-.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 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 3 binary64))))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))))))>
#<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 kx) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))>
#<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 kx) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))>
#<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 kx) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))>
#<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 kx) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))>
#<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 kx) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))>
#<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 kx) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))>
#<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 kx) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))>
#<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 kx) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))>
#<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 kx) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))>
#<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 kx) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))))>
#<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 kx) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.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 kx) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) (.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 kx) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))))))>
#<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 kx) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.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 kx) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) (.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 kx) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))) (.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 kx) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))))))))>
#<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 kx) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))>
#<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 kx) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))>
#<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 kx) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))>
#<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 kx) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))>
#<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 kx) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))>
#<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 kx) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))>
#<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 kx) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))>
#<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 kx) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))>

Calls

72 calls:

Time	Variable		Expression
15.0ms	th	@	(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (- 1/2 (/ (cos (* ky 2)) 2))))) (sin th))
3.0ms	kx	@	(* (sin ky) (/ (sin th) (sin kx)))
3.0ms	kx	@	(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (- 1/2 (/ (cos (* ky 2)) 2))))) (sin th))
2.0ms	kx	@	(sqrt (+ (pow (sin kx) 2) (- 1/2 (/ (cos (* ky 2)) 2))))
2.0ms	ky	@	(/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))

rewrite203.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

647×	`log1p-expm1-u`
229×	`expm1-log1p-u`
225×	`add-exp-log`
225×	`add-log-exp`
225×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	366
1	533	326
2	7201	326

Stop Event

1×	node limit

Counts

10 → 292

Calls

Call 1

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

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

simplify282.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

824×	`fma-define`
492×	`distribute-rgt-in`
492×	`distribute-lft-in`
359×	`*-commutative`
260×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1056	35567
1	2958	33556

Stop Event

1×	node limit

Counts

564 → 519

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

eval246.0ms (1.7%)

Compiler: Compiled 21123 to 11688 computations (44.7% saved)

prune169.0ms (1.2%)

Pruning

39 alts after pruning (33 fresh and 6 done)

	Pruned	Kept	Total
New	727	28	755
Fresh	6	5	11
Picked	0	5	5
Done	0	1	1
Total	733	39	772

Accuracy

100.0%

Counts

772 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.0%	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
	96.4%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	27.9%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
	19.0%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
	15.9%	(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
	25.0%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	30.0%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	27.7%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
✓	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	33.6%	(.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) ky)))))) (sin.f64 th))
✓	85.4%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sin.f64 th))
	76.2%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #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)))))) (sin.f64 th))
	30.0%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	27.1%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
▶	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) (sin.f64 th))
	33.3%	(.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) ky)))))))
▶	16.7%	(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) kx))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
▶	33.0%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
✓	30.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	21.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
	18.1%	(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
	99.5%	(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
	30.1%	(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 th))))
✓	99.4%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
	33.0%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
	30.0%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
	17.7%	(.f64 (sin.f64 ky) (.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))
	83.2%	(*.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
	15.7%	(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
	30.1%	(*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
▶	17.8%	(*.f64 (sin.f64 ky) (exp.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
	25.7%	(*.f64 (sin.f64 ky) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 3 binary64))))
	18.1%	(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
▶	27.2%	(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
✓	33.1%	(sin.f64 th)
	28.9%	(fabs.f64 (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	19.6%	(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))

Compiler

Compiled 985 to 728 computations (26.1% saved)

localize219.0ms (1.5%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
	99.9%	(/.f64 (sin.f64 th) (sin.f64 kx))
✓	99.8%	(log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))
✓	99.8%	(*.f64 (sin.f64 ky) (exp.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
✓	96.0%	(exp.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
✓	99.8%	(*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))
✓	99.8%	(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) kx))
✓	97.0%	(.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
✓	92.6%	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) kx)
✓	99.8%	(/.f64 (sin.f64 th) (sin.f64 ky))
✓	99.8%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
	99.9%	(/.f64 (sin.f64 th) (sin.f64 kx))
✓	99.8%	(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
✓	99.9%	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓	99.9%	(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
✓	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
✓	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) (sin.f64 th))

Results

99.0ms	164×	0	valid
54.0ms	92×	0	invalid

Compiler

Compiled 187 to 61 computations (67.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-div: 29.0ms (26.5% of total)

ival-mult: 22.0ms (20.1% of total)

ival-sin: 22.0ms (20.1% of total)

ival-pow: 19.0ms (17.4% of total)

ival-add: 5.0ms (4.6% of total)

ival-hypot: 4.0ms (3.7% of total)

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

const: 3.0ms (2.7% of total)

ival-exp: 2.0ms (1.8% of total)

backward-pass: 0.0ms (0% of total)

series208.0ms (1.4%)

Counts

14 → 328

Calls

Call 1

Inputs
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) (sin.f64 th))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))>
#<alt (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))>
#<alt (hypot.f64 (sin.f64 kx) (sin.f64 ky))>
#<alt (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))>
#<alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))>
#<alt (/.f64 (sin.f64 th) (sin.f64 ky))>
#<alt (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) kx)>
#<alt (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))>
#<alt (.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) kx))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))>
#<alt (exp.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))>
#<alt (*.f64 (sin.f64 ky) (exp.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))>
#<alt (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))>

Outputs
#<alt (sin.f64 th)>
#<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)))))>
#<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))))))))))))>
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#<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))))))>
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#<alt #s(literal 1 binary64)>
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#<alt (*.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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#<alt (.f64 #s(literal -1 binary64) (.f64 kx (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 kx #s(literal 2 binary64)))) (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sin.f64 th))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 kx (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 kx #s(literal 2 binary64)))) (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sin.f64 th))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 kx (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 kx #s(literal 2 binary64)))) (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sin.f64 th))))))>
#<alt (/.f64 (.f64 th (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) kx)>
#<alt (.f64 th (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) kx)) (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))) kx)))>
#<alt (.f64 th (+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))) kx)) (.f64 #s(literal 1/120 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) kx)))) (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))) kx)))>
#<alt (.f64 th (+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 kx #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)) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) kx)) (.f64 #s(literal 1/120 binary64) (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))) kx)))))) (/.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))) kx)))>
#<alt (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) kx)>
#<alt (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) kx)>
#<alt (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) kx)>
#<alt (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) kx)>
#<alt (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) kx)>
#<alt (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) kx)>
#<alt (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) kx)>
#<alt (/.f64 (.f64 (sin.f64 ky) (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) kx)>
#<alt (/.f64 th (sin.f64 kx))>
#<alt (.f64 th (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))>
#<alt (.f64 th (+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 kx))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))>
#<alt (.f64 th (+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 kx))) (.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))>
#<alt (/.f64 (sin.f64 th) (sin.f64 kx))>
#<alt (/.f64 (sin.f64 th) (sin.f64 kx))>
#<alt (/.f64 (sin.f64 th) (sin.f64 kx))>
#<alt (/.f64 (sin.f64 th) (sin.f64 kx))>
#<alt (/.f64 (sin.f64 th) (sin.f64 kx))>
#<alt (/.f64 (sin.f64 th) (sin.f64 kx))>
#<alt (/.f64 (sin.f64 th) (sin.f64 kx))>
#<alt (/.f64 (sin.f64 th) (sin.f64 kx))>
#<alt (/.f64 (sin.f64 th) kx)>
#<alt (/.f64 (+.f64 (sin.f64 th) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)))) kx)>
#<alt (/.f64 (+.f64 (sin.f64 th) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/36 binary64) (sin.f64 th)) (.f64 #s(literal 1/120 binary64) (sin.f64 th))))) (.f64 #s(literal -1/6 binary64) (sin.f64 th))))) kx)>
#<alt (/.f64 (+.f64 (sin.f64 th) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (+.f64 (.f64 #s(literal 1/720 binary64) (sin.f64 th)) (.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1/36 binary64) (sin.f64 th)) (.f64 #s(literal 1/120 binary64) (sin.f64 th)))))))) (+.f64 (.f64 #s(literal -1/36 binary64) (sin.f64 th)) (.f64 #s(literal 1/120 binary64) (sin.f64 th))))) (.f64 #s(literal -1/6 binary64) (sin.f64 th))))) kx)>
#<alt (/.f64 (sin.f64 th) (sin.f64 kx))>
#<alt (/.f64 (sin.f64 th) (sin.f64 kx))>
#<alt (/.f64 (sin.f64 th) (sin.f64 kx))>
#<alt (/.f64 (sin.f64 th) (sin.f64 kx))>
#<alt (/.f64 (sin.f64 th) (sin.f64 kx))>
#<alt (/.f64 (sin.f64 th) (sin.f64 kx))>
#<alt (/.f64 (sin.f64 th) (sin.f64 kx))>
#<alt (/.f64 (sin.f64 th) (sin.f64 kx))>
#<alt (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))>
#<alt (.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))))>
#<alt (.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))))>
#<alt (.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))))>
#<alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))>
#<alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))>
#<alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))>
#<alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))>
#<alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))>
#<alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))>
#<alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))>
#<alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))>
#<alt (/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))>
#<alt (.f64 th (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sin.f64 kx))) (/.f64 (sin.f64 ky) (sin.f64 kx))))>
#<alt (.f64 th (+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sin.f64 kx))))) (/.f64 (sin.f64 ky) (sin.f64 kx))))>
#<alt (.f64 th (+.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (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)) (sin.f64 kx))) (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 ky) (sin.f64 kx))))))) (/.f64 (sin.f64 ky) (sin.f64 kx))))>
#<alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))>
#<alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))>
#<alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))>
#<alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))>
#<alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))>
#<alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))>
#<alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))>
#<alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))>
#<alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)>
#<alt (/.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)>
#<alt (/.f64 (+.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/36 binary64) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 ky) (sin.f64 th)))))) (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sin.f64 th)))))) kx)>
#<alt (/.f64 (+.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (sin.f64 ky) (sin.f64 th))) (+.f64 (.f64 #s(literal 1/720 binary64) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1/36 binary64) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 ky) (sin.f64 th))))))))) (+.f64 (.f64 #s(literal -1/36 binary64) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 ky) (sin.f64 th)))))) (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 ky) (sin.f64 th)))))) kx)>
#<alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))>
#<alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))>
#<alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))>
#<alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))>
#<alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))>
#<alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))>
#<alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))>
#<alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))>
#<alt (+.f64 (log.f64 th) (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx))))>
#<alt (+.f64 (log.f64 th) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 th) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/180 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (+.f64 (log.f64 th) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2835 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/180 binary64))) #s(literal 1/6 binary64)))))>
#<alt (+.f64 (log.f64 (sin.f64 th)) (*.f64 #s(literal -1 binary64) (log.f64 kx)))>
#<alt (+.f64 (log.f64 (sin.f64 th)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 kx)) (.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 (sin.f64 th)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 kx)) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -24 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/36 binary64) (sin.f64 th)) (*.f64 #s(literal 1/120 binary64) (sin.f64 th))) (sin.f64 th))) #s(literal 1/3 binary64))))))))>
#<alt (+.f64 (log.f64 (sin.f64 th)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 kx)) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 10/9 binary64) (+.f64 (.f64 #s(literal -720 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (+.f64 (.f64 #s(literal 1/720 binary64) (sin.f64 th)) (.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1/36 binary64) (sin.f64 th)) (.f64 #s(literal 1/120 binary64) (sin.f64 th)))))) (sin.f64 th))) (.f64 #s(literal 120 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/36 binary64) (sin.f64 th)) (.f64 #s(literal 1/120 binary64) (sin.f64 th))) (sin.f64 th))))))) (.f64 #s(literal 1/24 binary64) (-.f64 (.f64 #s(literal -24 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/36 binary64) (sin.f64 th)) (.f64 #s(literal 1/120 binary64) (sin.f64 th))) (sin.f64 th))) #s(literal 1/3 binary64)))))))))>

Calls

93 calls:

Time	Variable		Point	Expression
66.0ms	kx	@	inf	(log (/ (sin th) (sin kx)))
38.0ms	th	@	inf	(log (/ (sin th) (sin kx)))
19.0ms	kx	@	-inf	(log (/ (sin th) (sin kx)))
17.0ms	th	@	-inf	(log (/ (sin th) (sin kx)))
6.0ms	kx	@	0	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))

rewrite310.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

463×	`prod-diff`
421×	`log1p-expm1-u`
225×	`associate-r`
225×	`expm1-log1p-u`
222×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	447
1	510	441
2	6883	441

Stop Event

1×	node limit

Counts

14 → 417

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) kx)
(.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) kx))
(*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (exp.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (neg.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (neg.f64 (sin.f64 ky))))
(/.f64 (/.f64 (sin.f64 th) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))))
(/.f64 (/.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) #s(literal -1 binary64)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (neg.f64 (sin.f64 ky))))
(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 th) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))))
(pow.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))) #s(literal 3 binary64))
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(+.f64 (fma.f64 (.f64 (cbrt.f64 (log.f64 (sin.f64 th))) (cbrt.f64 (log.f64 (sin.f64 th)))) (cbrt.f64 (log.f64 (sin.f64 th))) (neg.f64 (.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (log.f64 (sin.f64 kx))) #s(literal 1 binary64) (*.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (log.f64 (sin.f64 th))) (cbrt.f64 (log.f64 (sin.f64 th)))) (cbrt.f64 (log.f64 (sin.f64 th))) (neg.f64 (.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (cbrt.f64 (log.f64 (sin.f64 kx))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (sin.f64 kx)))) (.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (cbrt.f64 (log.f64 (sin.f64 kx)))) (.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (cbrt.f64 (log.f64 (sin.f64 kx)))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (sin.f64 th))) (cbrt.f64 (log.f64 (sin.f64 th)))) (cbrt.f64 (log.f64 (sin.f64 th))) (neg.f64 (log.f64 (sin.f64 kx)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (sin.f64 kx)))) (sqrt.f64 (log.f64 (sin.f64 kx))) (log.f64 (sin.f64 kx))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (sin.f64 th))) (sqrt.f64 (log.f64 (sin.f64 th))) (neg.f64 (.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (log.f64 (sin.f64 kx))) #s(literal 1 binary64) (.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (sin.f64 th))) (sqrt.f64 (log.f64 (sin.f64 th))) (neg.f64 (.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (cbrt.f64 (log.f64 (sin.f64 kx))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (sin.f64 kx)))) (.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (cbrt.f64 (log.f64 (sin.f64 kx)))) (.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (*.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (cbrt.f64 (log.f64 (sin.f64 kx)))))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (sin.f64 th))) (sqrt.f64 (log.f64 (sin.f64 th))) (neg.f64 (log.f64 (sin.f64 kx)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (sin.f64 kx)))) (sqrt.f64 (log.f64 (sin.f64 kx))) (log.f64 (sin.f64 kx))))
(-.f64 (log.f64 (sin.f64 th)) (log.f64 (sin.f64 kx)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))) #s(literal 1 binary64))
(-.f64 (log.f64 (neg.f64 (sin.f64 th))) (log.f64 (neg.f64 (sin.f64 kx))))
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) (sqrt.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sin.f64 th)) #s(literal 3 binary64)) (pow.f64 (log.f64 (sin.f64 kx)) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (sin.f64 th)) (log.f64 (sin.f64 th))) (+.f64 (.f64 (log.f64 (sin.f64 kx)) (log.f64 (sin.f64 kx))) (*.f64 (log.f64 (sin.f64 th)) (log.f64 (sin.f64 kx))))))
(/.f64 (-.f64 (.f64 (log.f64 (sin.f64 th)) (log.f64 (sin.f64 th))) (.f64 (log.f64 (sin.f64 kx)) (log.f64 (sin.f64 kx)))) (+.f64 (log.f64 (sin.f64 th)) (log.f64 (sin.f64 kx))))
(pow.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) #s(literal 2 binary64))
(neg.f64 (log.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(log1p.f64 (-.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) #s(literal 1 binary64)))

simplify332.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

671×	`distribute-rgt-in`
671×	`distribute-lft-in`
463×	`*-commutative`
324×	`times-frac`
224×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1555	36126
1	4273	35282

Stop Event

1×	node limit

Counts

745 → 784

Calls

Call 1

Inputs
(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 (*.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))))))
(.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))))))
#s(literal 1 binary64)
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(/.f64 ky (sin.f64 kx))
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#s(literal 1 binary64)
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(/.f64 (sin.f64 kx) ky)
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(/.f64 (+.f64 (sin.f64 kx) (.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (.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 (.f64 #s(literal 7/360 binary64) (sin.f64 kx)) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))))))) ky)
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(sin.f64 ky)
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(sin.f64 kx)
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(+.f64 (fma.f64 (.f64 (cbrt.f64 (log.f64 (sin.f64 th))) (cbrt.f64 (log.f64 (sin.f64 th)))) (cbrt.f64 (log.f64 (sin.f64 th))) (neg.f64 (.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (cbrt.f64 (log.f64 (sin.f64 kx))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (sin.f64 kx)))) (.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (cbrt.f64 (log.f64 (sin.f64 kx)))) (.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (cbrt.f64 (log.f64 (sin.f64 kx)))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (sin.f64 th))) (cbrt.f64 (log.f64 (sin.f64 th)))) (cbrt.f64 (log.f64 (sin.f64 th))) (neg.f64 (log.f64 (sin.f64 kx)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (sin.f64 kx)))) (sqrt.f64 (log.f64 (sin.f64 kx))) (log.f64 (sin.f64 kx))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (sin.f64 th))) (sqrt.f64 (log.f64 (sin.f64 th))) (neg.f64 (.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (log.f64 (sin.f64 kx))) #s(literal 1 binary64) (.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (sin.f64 th))) (sqrt.f64 (log.f64 (sin.f64 th))) (neg.f64 (.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (cbrt.f64 (log.f64 (sin.f64 kx))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (sin.f64 kx)))) (.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (cbrt.f64 (log.f64 (sin.f64 kx)))) (.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (*.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (cbrt.f64 (log.f64 (sin.f64 kx)))))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (sin.f64 th))) (sqrt.f64 (log.f64 (sin.f64 th))) (neg.f64 (log.f64 (sin.f64 kx)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (sin.f64 kx)))) (sqrt.f64 (log.f64 (sin.f64 kx))) (log.f64 (sin.f64 kx))))
(-.f64 (log.f64 (sin.f64 th)) (log.f64 (sin.f64 kx)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))) #s(literal 1 binary64))
(-.f64 (log.f64 (neg.f64 (sin.f64 th))) (log.f64 (neg.f64 (sin.f64 kx))))
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) (sqrt.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sin.f64 th)) #s(literal 3 binary64)) (pow.f64 (log.f64 (sin.f64 kx)) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (sin.f64 th)) (log.f64 (sin.f64 th))) (+.f64 (.f64 (log.f64 (sin.f64 kx)) (log.f64 (sin.f64 kx))) (*.f64 (log.f64 (sin.f64 th)) (log.f64 (sin.f64 kx))))))
(/.f64 (-.f64 (.f64 (log.f64 (sin.f64 th)) (log.f64 (sin.f64 th))) (.f64 (log.f64 (sin.f64 kx)) (log.f64 (sin.f64 kx)))) (+.f64 (log.f64 (sin.f64 th)) (log.f64 (sin.f64 kx))))
(pow.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) #s(literal 2 binary64))
(neg.f64 (log.f64 (/.f64 (sin.f64 kx) (sin.f64 th))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(log1p.f64 (-.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) #s(literal 1 binary64)))

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

eval271.0ms (1.8%)

Compiler: Compiled 22288 to 10977 computations (50.7% saved)

prune424.0ms (2.9%)

Pruning

65 alts after pruning (56 fresh and 9 done)

	Pruned	Kept	Total
New	995	33	1028
Fresh	5	23	28
Picked	2	3	5
Done	0	6	6
Total	1002	65	1067

Accuracy

100.0%

Counts

1067 → 65

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
	96.4%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	27.9%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
	19.0%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
	37.2%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
▶	15.9%	(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
	14.7%	(/.f64 (*.f64 th ky) (sin.f64 kx))
	17.9%	(/.f64 (*.f64 ky (sin.f64 th)) kx)
▶	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	33.1%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
	27.2%	(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
	37.2%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
	27.7%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
	33.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
✓	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	33.6%	(.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) ky)))))) (sin.f64 th))
✓	85.4%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sin.f64 th))
	76.2%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #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)))))) (sin.f64 th))
	30.0%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	27.1%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
✓	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) (sin.f64 th))
	30.0%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
▶	37.2%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 th) (sin.f64 ky)))
	33.3%	(.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) ky)))))))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
✓	33.0%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
✓	30.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	17.3%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
	21.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
	18.1%	(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
	99.5%	(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
	33.0%	(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
	30.1%	(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 th))))
✓	99.4%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
	33.0%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
	7.3%	(.f64 (sin.f64 ky) (.f64 (*.f64 kx #s(literal 1/6 binary64)) (sin.f64 th)))
	17.7%	(.f64 (sin.f64 ky) (.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))
	9.8%	(.f64 (sin.f64 ky) (.f64 th (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))) kx)) (+.f64 (.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1 binary64) kx)))))
	7.3%	(.f64 (sin.f64 ky) (.f64 #s(literal 1/6 binary64) (*.f64 kx (sin.f64 th))))
	83.2%	(*.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
	23.1%	(*.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))
	10.8%	(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))
	15.7%	(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
	36.7%	(*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 ky))))
	30.1%	(*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
	13.7%	(*.f64 (sin.f64 ky) (exp.f64 (-.f64 (log.f64 th) (log.f64 (sin.f64 kx)))))
	24.7%	(*.f64 (sin.f64 ky) (exp.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))
	13.8%	(*.f64 (sin.f64 ky) (exp.f64 (log.f64 (/.f64 th (sin.f64 kx)))))
	18.1%	(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
	19.6%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
	26.9%	(*.f64 ky (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal 3 binary64)))
✓	27.2%	(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
	20.1%	(*.f64 ky (/.f64 (sin.f64 th) kx))
	16.9%	(*.f64 ky (/.f64 th (sin.f64 kx)))
	27.2%	(.f64 ky (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
	26.7%	(*.f64 ky (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
	23.4%	(*.f64 ky (cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 3 binary64))))
	10.6%	(.f64 #s(literal 1/6 binary64) (.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
✓	33.1%	(sin.f64 th)
	33.0%	(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))))
	28.9%	(fabs.f64 (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	31.6%	(fabs.f64 (sin.f64 th))
	25.3%	(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))))
▶	19.6%	(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
▶	19.9%	th

Compiler

Compiled 1544 to 1127 computations (27% saved)

localize114.0ms (0.8%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
	99.8%	(/.f64 (sin.f64 th) (sin.f64 kx))
	99.8%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
✓	97.3%	(log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))
✓	95.7%	(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
✓	99.9%	(/.f64 #s(literal 1 binary64) (sin.f64 ky))
✓	99.9%	(*.f64 (sin.f64 th) (sin.f64 ky))
✓	93.8%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 th) (sin.f64 ky)))
✓	99.9%	(*.f64 th (sin.f64 ky))
✓	96.5%	(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	99.8%	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
✓	99.8%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))

Results

48.0ms	150×	0	valid
35.0ms	106×	0	invalid

Compiler

Compiled 123 to 23 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-sin: 19.0ms (38.2% of total)

ival-div: 10.0ms (20.1% of total)

ival-mult: 8.0ms (16.1% of total)

ival-exp: 5.0ms (10.1% of total)

ival-hypot: 4.0ms (8% of total)

ival-log: 3.0ms (6% of total)

const: 1.0ms (2% of total)

backward-pass: 0.0ms (0% of total)

series211.0ms (1.4%)

Counts

9 → 208

Calls

Call 1

Inputs
#<alt (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))>
#<alt (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))>
#<alt (/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))>
#<alt (*.f64 th (sin.f64 ky))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 th) (sin.f64 ky)))>
#<alt (*.f64 (sin.f64 th) (sin.f64 ky))>
#<alt (/.f64 #s(literal 1 binary64) (sin.f64 ky))>
#<alt (exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))>
#<alt (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))>

Outputs
#<alt (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))>
#<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))))>
#<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))))>
#<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))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<alt (sin.f64 th)>
#<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)))))>
#<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))))))))))))>
#<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)))))))))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))))>
#<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)))))))))))>
#<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)))))))))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<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))))))>
#<alt (/.f64 (sin.f64 kx) (sin.f64 th))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (.f64 (sin.f64 kx) (sin.f64 th)))) (/.f64 (sin.f64 kx) (sin.f64 th)))>
#<alt (+.f64 (.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)))))) (.f64 (sin.f64 kx) (sin.f64 th)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 kx) (sin.f64 th)))))) (/.f64 (sin.f64 kx) (sin.f64 th)))>
#<alt (+.f64 (.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))))) (.f64 (sin.f64 kx) (sin.f64 th)))) (.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)))))) (.f64 (sin.f64 kx) (sin.f64 th)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 kx) (sin.f64 th)))))) (/.f64 (sin.f64 kx) (sin.f64 th)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (/.f64 (sin.f64 ky) (sin.f64 th))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (.f64 (sin.f64 ky) (sin.f64 th)))) (/.f64 (sin.f64 ky) (sin.f64 th)))>
#<alt (+.f64 (.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)))))) (.f64 (sin.f64 ky) (sin.f64 th)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th)))))) (/.f64 (sin.f64 ky) (sin.f64 th)))>
#<alt (+.f64 (.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))))) (.f64 (sin.f64 ky) (sin.f64 th)))) (.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)))))) (.f64 (sin.f64 ky) (sin.f64 th)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 ky) (sin.f64 th)))))) (/.f64 (sin.f64 ky) (sin.f64 th)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
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#<alt (+.f64 (log.f64 th) (+.f64 (log.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 th) (+.f64 (log.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/180 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (+.f64 (log.f64 th) (+.f64 (log.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2835 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/180 binary64))) #s(literal 1/6 binary64)))))>
#<alt (log.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)))>
#<alt (log.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)))>
#<alt (log.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)))>
#<alt (log.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)))>
#<alt (log.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)))>
#<alt (log.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)))>
#<alt (log.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)))>
#<alt (log.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)))>
#<alt (+.f64 (log.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 #s(literal -1 binary64) (log.f64 kx)))>
#<alt (+.f64 (log.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 kx)) (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 kx)) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -24 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/36 binary64) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 ky) (sin.f64 th)))) (*.f64 (sin.f64 ky) (sin.f64 th)))) #s(literal 1/3 binary64))))))))>
#<alt (+.f64 (log.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 kx)) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 10/9 binary64) (+.f64 (.f64 #s(literal -720 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (sin.f64 ky) (sin.f64 th))) (+.f64 (.f64 #s(literal 1/720 binary64) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal -1/36 binary64) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 ky) (sin.f64 th))))))) (.f64 (sin.f64 ky) (sin.f64 th)))) (.f64 #s(literal 120 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/36 binary64) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 ky) (sin.f64 th)))) (.f64 (sin.f64 ky) (sin.f64 th)))))))) (.f64 #s(literal 1/24 binary64) (-.f64 (.f64 #s(literal -24 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/36 binary64) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 #s(literal 1/120 binary64) (.f64 (sin.f64 ky) (sin.f64 th)))) (.f64 (sin.f64 ky) (sin.f64 th)))) #s(literal 1/3 binary64)))))))))>
#<alt (log.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)))>
#<alt (log.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)))>
#<alt (log.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)))>
#<alt (log.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)))>
#<alt (log.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)))>
#<alt (log.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)))>
#<alt (log.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)))>
#<alt (log.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)))>

Calls

66 calls:

Time	Variable		Point	Expression
79.0ms	th	@	inf	(log (* (sin ky) (/ (sin th) (sin kx))))
20.0ms	kx	@	-inf	(log (* (sin ky) (/ (sin th) (sin kx))))
20.0ms	kx	@	inf	(log (* (sin ky) (/ (sin th) (sin kx))))
19.0ms	ky	@	inf	(log (* (sin ky) (/ (sin th) (sin kx))))
17.0ms	th	@	-inf	(log (* (sin ky) (/ (sin th) (sin kx))))

rewrite212.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1002×	`log1p-expm1-u`
465×	`prod-diff`
175×	`expm1-log1p-u`
174×	`add-exp-log`
174×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	269
1	392	269
2	5488	269

Stop Event

1×	node limit

Counts

9 → 309

Calls

Call 1

Inputs
(/.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 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(*.f64 th (sin.f64 ky))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))) #s(literal 1 binary64))
(*.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 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (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 (hypot.f64 (sin.f64 ky) (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) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) #s(literal 2 binary64)) (cbrt.f64 (/.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 (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 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) (sqrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(*.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 (pow.f64 (cbrt.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 (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 #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) (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(*.f64 (/.f64 (pow.f64 (cbrt.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)) (pow.f64 (cbrt.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)))))
(.f64 (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)) (sin.f64 th))
(.f64 (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 th)))
(.f64 (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (sin.f64 th))) (sqrt.f64 (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (sin.f64 th)))
(pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) #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 (neg.f64 (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #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 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (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))))
(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 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) #s(literal 1 binary64))
(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(*.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.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 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (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 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 th))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (cbrt.f64 (sin.f64 th))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sqrt.f64 (sin.f64 th))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (sqrt.f64 (sin.f64 th))) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (sin.f64 th))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (cbrt.f64 (sin.f64 th))))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64))
(neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th))))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (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 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
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(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 kx))) (/.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (sin.f64 kx))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sin.f64 kx)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 2 binary64)) (sqrt.f64 (sin.f64 kx))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (sin.f64 kx))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sin.f64 kx)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (cbrt.f64 (sin.f64 kx))))
(.f64 (.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) (sqrt.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 (.f64 (/.f64 (sin.f64 th) (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) (sin.f64 kx)) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) (*.f64 (sin.f64 kx) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (sin.f64 kx)))
(/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (sin.f64 kx))) (sqrt.f64 (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))) (neg.f64 (sin.f64 kx)))
(/.f64 (*.f64 (neg.f64 (sin.f64 th)) (sin.f64 ky)) (neg.f64 (sin.f64 kx)))
(/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 1 binary64)) (sin.f64 kx))
(/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 kx)))
(pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))) (sqrt.f64 (log.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) #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 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (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) (sin.f64 kx)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 th) (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) (sin.f64 th)) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(+.f64 (log.f64 (sin.f64 ky)) (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(+.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) (log.f64 (sin.f64 ky)))
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(+.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) (log.f64 (sqrt.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(+.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64)) (.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal 1 binary64)))
(+.f64 (fma.f64 #s(literal 1 binary64) (log.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (log.f64 (sin.f64 kx))) #s(literal 1 binary64) (*.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (log.f64 (.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (cbrt.f64 (log.f64 (sin.f64 kx))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (sin.f64 kx)))) (.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (cbrt.f64 (log.f64 (sin.f64 kx)))) (.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (cbrt.f64 (log.f64 (sin.f64 kx)))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (log.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (log.f64 (sin.f64 kx)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (sin.f64 kx)))) (sqrt.f64 (log.f64 (sin.f64 kx))) (log.f64 (sin.f64 kx))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (log.f64 (.f64 (sin.f64 ky) (sin.f64 th)))) (cbrt.f64 (log.f64 (.f64 (sin.f64 ky) (sin.f64 th))))) (cbrt.f64 (log.f64 (.f64 (sin.f64 ky) (sin.f64 th)))) (neg.f64 (.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (log.f64 (sin.f64 kx))) #s(literal 1 binary64) (.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (log.f64 (.f64 (sin.f64 ky) (sin.f64 th)))) (cbrt.f64 (log.f64 (.f64 (sin.f64 ky) (sin.f64 th))))) (cbrt.f64 (log.f64 (.f64 (sin.f64 ky) (sin.f64 th)))) (neg.f64 (.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (cbrt.f64 (log.f64 (sin.f64 kx))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (sin.f64 kx)))) (.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (cbrt.f64 (log.f64 (sin.f64 kx)))) (.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (*.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (cbrt.f64 (log.f64 (sin.f64 kx)))))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (log.f64 (.f64 (sin.f64 ky) (sin.f64 th)))) (cbrt.f64 (log.f64 (.f64 (sin.f64 ky) (sin.f64 th))))) (cbrt.f64 (log.f64 (.f64 (sin.f64 ky) (sin.f64 th)))) (neg.f64 (log.f64 (sin.f64 kx)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (sin.f64 kx)))) (sqrt.f64 (log.f64 (sin.f64 kx))) (log.f64 (sin.f64 kx))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (.f64 (sin.f64 ky) (sin.f64 th)))) (sqrt.f64 (log.f64 (.f64 (sin.f64 ky) (sin.f64 th)))) (neg.f64 (.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (log.f64 (sin.f64 kx))) #s(literal 1 binary64) (.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (.f64 (sin.f64 ky) (sin.f64 th)))) (sqrt.f64 (log.f64 (.f64 (sin.f64 ky) (sin.f64 th)))) (neg.f64 (.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (cbrt.f64 (log.f64 (sin.f64 kx))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (sin.f64 kx)))) (.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (cbrt.f64 (log.f64 (sin.f64 kx)))) (.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (*.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) (cbrt.f64 (log.f64 (sin.f64 kx)))))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (.f64 (sin.f64 ky) (sin.f64 th)))) (sqrt.f64 (log.f64 (.f64 (sin.f64 ky) (sin.f64 th)))) (neg.f64 (log.f64 (sin.f64 kx)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (sin.f64 kx)))) (sqrt.f64 (log.f64 (sin.f64 kx))) (log.f64 (sin.f64 kx))))
(-.f64 (log.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (log.f64 (sin.f64 kx)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (log.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(.f64 (log.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (log.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(.f64 (sqrt.f64 (log.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) (sqrt.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sin.f64 ky)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (sin.f64 ky)) (log.f64 (sin.f64 ky))) (-.f64 (.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) (*.f64 (log.f64 (sin.f64 ky)) (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))))
(/.f64 (-.f64 (.f64 (log.f64 (sin.f64 ky)) (log.f64 (sin.f64 ky))) (.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))) (-.f64 (log.f64 (sin.f64 ky)) (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(pow.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(log1p.f64 (-.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) #s(literal 1 binary64)))

simplify245.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

712×	`fma-define`
371×	`associate-*r/`
370×	`distribute-rgt-in`
370×	`distribute-lft-in`
353×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1172	24063
1	3177	23146

Stop Event

1×	node limit

Counts

517 → 575

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

eval231.0ms (1.6%)

Compiler: Compiled 15803 to 6627 computations (58.1% saved)

prune537.0ms (3.7%)

Pruning

71 alts after pruning (59 fresh and 12 done)

	Pruned	Kept	Total
New	729	17	746
Fresh	9	42	51
Picked	2	3	5
Done	0	9	9
Total	740	71	811

Accuracy

100.0%

Counts

811 → 71

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.8%	(pow.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)) #s(literal -1 binary64))
	17.9%	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))) #s(literal 3 binary64))
	99.5%	(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
	96.4%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	27.9%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
	19.0%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
✓	15.9%	(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
	12.7%	(/.f64 (*.f64 th (sin.f64 ky)) kx)
✓	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	49.2%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
	33.1%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
	49.1%	(/.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	16.0%	(/.f64 (fabs.f64 (*.f64 th (sin.f64 ky))) (sin.f64 kx))
	14.5%	(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 ky) th))) (sin.f64 kx))
	27.2%	(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
	37.2%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
	27.7%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
	33.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
	12.4%	(+.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1 binary64)))
	21.0%	(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 ky #s(literal 2 binary64)) #s(literal 1/6 binary64))) ky) (*.f64 (sin.f64 th) (sin.f64 ky)))
✓	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	33.6%	(.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) ky)))))) (sin.f64 th))
✓	85.4%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sin.f64 th))
	76.2%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #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)))))) (sin.f64 th))
	30.0%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	27.1%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	96.2%	(*.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))))
✓	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) (sin.f64 th))
	30.0%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
	24.0%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 th (sin.f64 ky)))
	40.8%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (fabs.f64 (.f64 (sin.f64 th) (sin.f64 ky))))
	16.0%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 ky) th))
	21.5%	(.f64 (/.f64 #s(literal 1 binary64) ky) (.f64 (sin.f64 th) (sin.f64 ky)))
	33.3%	(.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) ky)))))))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
✓	33.0%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
✓	30.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	17.3%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
	21.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
	18.1%	(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
	99.5%	(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
	33.0%	(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
	30.1%	(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 th))))
✓	99.4%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
	33.0%	(.f64 (sin.f64 ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
	7.3%	(.f64 (sin.f64 ky) (.f64 (*.f64 kx #s(literal 1/6 binary64)) (sin.f64 th)))
	7.3%	(.f64 (sin.f64 ky) (.f64 #s(literal 1/6 binary64) (*.f64 kx (sin.f64 th))))
	83.2%	(*.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
	23.1%	(*.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))
	10.8%	(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))
	15.7%	(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
	36.7%	(*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 ky))))
	30.1%	(*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
	13.8%	(*.f64 (sin.f64 ky) (exp.f64 (log.f64 (/.f64 th (sin.f64 kx)))))
	14.9%	(*.f64 th (/.f64 (sin.f64 ky) kx))
	19.6%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
	26.9%	(*.f64 ky (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal 3 binary64)))
✓	27.2%	(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
	20.1%	(*.f64 ky (/.f64 (sin.f64 th) kx))
	16.9%	(*.f64 ky (/.f64 th (sin.f64 kx)))
	27.2%	(.f64 ky (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
	26.7%	(*.f64 ky (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
	23.4%	(*.f64 ky (cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 3 binary64))))
	10.6%	(.f64 #s(literal 1/6 binary64) (.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
✓	33.1%	(sin.f64 th)
	33.0%	(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))))
	28.9%	(fabs.f64 (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
	22.1%	(fabs.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx))))
	31.6%	(fabs.f64 (sin.f64 th))
	13.8%	(exp.f64 (log.f64 (/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))))
✓	19.9%	th

Compiler

Compiled 1871 to 1012 computations (45.9% saved)

regimes387.0ms (2.6%)

Counts

96 → 1

Calls

Call 1

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

Calls

9 calls:

81.0ms	(sin.f64 th)
77.0ms	(/.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)))))
45.0ms	kx
38.0ms	(sin.f64 kx)
33.0ms	th

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 53 computations (23.2% saved)

regimes228.0ms (1.6%)

Counts

79 → 1

Calls

Call 1

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

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

Calls

6 calls:

95.0ms	ky
25.0ms	kx
25.0ms	(sin.f64 th)
25.0ms	(sin.f64 kx)
24.0ms	(sin.f64 ky)

Results

Accuracy	Segments	Branch
99.6%	1	`kx`
99.6%	1	`ky`
99.6%	1	`th`
99.6%	1	`(sin.f64 ky)`
99.6%	1	`(sin.f64 kx)`
99.6%	1	`(sin.f64 th)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes525.0ms (3.6%)

Counts

78 → 4

Calls

Call 1

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

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

Calls

6 calls:

109.0ms	(sin.f64 ky)
90.0ms	kx
88.0ms	(sin.f64 kx)
82.0ms	(sin.f64 th)
78.0ms	ky

Results

Accuracy	Segments	Branch
60.6%	6	`kx`
63.4%	4	`ky`
65.7%	4	`th`
66.0%	7	`(sin.f64 ky)`
61.4%	5	`(sin.f64 kx)`
69.7%	4	`(sin.f64 th)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes91.0ms (0.6%)

Counts

65 → 5

Calls

Call 1

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

Outputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
(*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (fabs.f64 (.f64 (sin.f64 th) (sin.f64 ky))))

Calls

1 calls:

86.0ms

(sin.f64 th)

Results

Accuracy	Segments	Branch
70.0%	5	`(sin.f64 th)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes134.0ms (0.9%)

Counts

62 → 5

Calls

Call 1

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

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

Calls

1 calls:

129.0ms

(sin.f64 th)

Results

Accuracy	Segments	Branch
70.0%	5	`(sin.f64 th)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes477.0ms (3.3%)

Counts

60 → 3

Calls

Call 1

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

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

Calls

5 calls:

225.0ms	th
84.0ms	(sin.f64 th)
60.0ms	ky
58.0ms	(sin.f64 ky)
46.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
59.6%	3	`(sin.f64 kx)`
58.8%	5	`(sin.f64 ky)`
55.3%	4	`ky`
45.4%	7	`th`
50.2%	6	`(sin.f64 th)`

Compiler

Compiled 23 to 18 computations (21.7% saved)

regimes86.0ms (0.6%)

Counts

56 → 3

Calls

Call 1

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

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

Calls

1 calls:

78.0ms

(sin.f64 kx)

Results

Accuracy	Segments	Branch
57.6%	3	`(sin.f64 kx)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes45.0ms (0.3%)

Counts

55 → 3

Calls

Call 1

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

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

Calls

1 calls:

38.0ms

(sin.f64 kx)

Results

Accuracy	Segments	Branch
57.1%	3	`(sin.f64 kx)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes41.0ms (0.3%)

Counts

53 → 3

Calls

Call 1

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

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

Calls

1 calls:

37.0ms

(sin.f64 kx)

Results

Accuracy	Segments	Branch
56.3%	3	`(sin.f64 kx)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes133.0ms (0.9%)

Counts

31 → 3

Calls

Call 1

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

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

Calls

3 calls:

75.0ms	kx
32.0ms	(sin.f64 ky)
24.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
53.4%	5	`(sin.f64 ky)`
50.3%	3	`kx`
53.8%	3	`(sin.f64 kx)`

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes58.0ms (0.4%)

Counts

30 → 3

Calls

Call 1

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

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

Calls

2 calls:

29.0ms	ky
27.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
50.1%	4	`ky`
52.1%	3	`(sin.f64 kx)`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes66.0ms (0.5%)

Counts

29 → 3

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	(sin.f64 ky)
21.0ms	(sin.f64 kx)
19.0ms	kx

Results

Accuracy	Segments	Branch
50.9%	3	`(sin.f64 ky)`
47.3%	2	`kx`
48.3%	3	`(sin.f64 kx)`

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes105.0ms (0.7%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

4 calls:

69.0ms	(sin.f64 ky)
13.0ms	kx
13.0ms	(sin.f64 kx)
9.0ms	ky

Results

Accuracy	Segments	Branch
43.3%	4	`(sin.f64 kx)`
45.1%	4	`ky`
42.6%	3	`kx`
47.4%	3	`(sin.f64 ky)`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes18.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

Inputs
th
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 th (/.f64 (sin.f64 ky) kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) kx)
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))

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

Calls

2 calls:

11.0ms	(sin.f64 th)
6.0ms	(sin.f64 ky)

Results

Accuracy	Segments	Branch
35.8%	3	`(sin.f64 th)`
42.9%	2	`(sin.f64 ky)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes11.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	ky
3.0ms	kx

Results

Accuracy	Segments	Branch
39.5%	2	`kx`
40.6%	2	`ky`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
th
(sin.f64 th)

Outputs
(sin.f64 th)

Calls

3 calls:

1.0ms	ky
1.0ms	th
1.0ms	kx

Results

Accuracy	Segments	Branch
33.1%	1	`th`
33.1%	1	`kx`
33.1%	1	`ky`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
th

Outputs
th

Calls

3 calls:

0.0ms	th
0.0ms	kx
0.0ms	ky

Results

Accuracy	Segments	Branch
19.9%	1	`kx`
19.9%	1	`ky`
19.9%	1	`th`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	4.624661439889083e-19	0.001840780078037923
0.0ms	-0.00040369839320071377	3.392497612376368e-307
0.0ms	-0.45823882034051777	-0.4365320495761972

Compiler

Compiled 25 to 19 computations (24% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.4200841693680116	0.4463246478405927
0.0ms	0.16692023512166676	0.17463258602150344
0.0ms	4.624661439889083e-19	0.001840780078037923
0.0ms	-0.00040369839320071377	3.392497612376368e-307

Compiler

Compiled 25 to 19 computations (24% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.4200841693680116	0.4463246478405927
0.0ms	0.16692023512166676	0.17463258602150344
0.0ms	4.624661439889083e-19	0.001840780078037923
0.0ms	-0.00040369839320071377	3.392497612376368e-307

Compiler

Compiled 25 to 19 computations (24% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.699702331260692e-64	2.8538107092296467e-60
1.0ms	-0.0812336213484683	-0.05877985992917385

Compiler

Compiled 25 to 19 computations (24% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.447449159680375e-72	2.536789344066178e-69
0.0ms	-0.0812336213484683	-0.05877985992917385

Compiler

Compiled 25 to 19 computations (24% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.447449159680375e-72	2.536789344066178e-69
0.0ms	-0.0812336213484683	-0.05877985992917385

Compiler

Compiled 25 to 19 computations (24% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.447449159680375e-72	2.536789344066178e-69
0.0ms	-0.0812336213484683	-0.05877985992917385

Compiler

Compiled 25 to 19 computations (24% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.447449159680375e-72	2.536789344066178e-69
0.0ms	-0.0812336213484683	-0.05877985992917385

Compiler

Compiled 25 to 19 computations (24% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.447449159680375e-72	2.536789344066178e-69
0.0ms	-0.23458355623253058	-0.21020891708436767

Compiler

Compiled 25 to 19 computations (24% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.1032731321046744e-194	6.304406316508642e-192
0.0ms	-0.011172081820286119	5.020809863534487e-306

Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.1032731321046744e-194	6.304406316508642e-192
0.0ms	-0.011172081820286119	5.020809863534487e-306

Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.1032731321046744e-194	6.304406316508642e-192

Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	4.1032731321046744e-194	6.304406316508642e-192

Results

16.0ms

112×

valid

Compiler

Compiled 137 to 103 computations (24.8% saved)

Precisions

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

ival-sin: 7.0ms (56.5% of total)

ival-pow: 2.0ms (16.1% of total)

ival-div: 1.0ms (8.1% of total)

ival-add: 1.0ms (8.1% of total)

ival-mult: 1.0ms (8.1% of total)

ival-sqrt: 1.0ms (8.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify30.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

19×	`*-commutative`
6×	`fabs-mul`
4×	`sub-neg`
4×	`+-commutative`
3×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	1748
1	146	1748
2	161	1748
3	167	1748
4	171	1748
5	172	1748

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(if (<=.f64 (sin.f64 th) #s(literal -8106479329266893/18014398509481984 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.f64 (sin.f64 th) #s(literal -7378697629483821/18446744073709551616 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) ky)))))) (sin.f64 th)) (if (<=.f64 (sin.f64 th) #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))))
(if (<=.f64 (sin.f64 th) #s(literal -7378697629483821/18446744073709551616 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.f64 (sin.f64 th) #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (if (<=.f64 (sin.f64 th) #s(literal 6124895493223875/36028797018963968 binary64)) (.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))) (if (<=.f64 (sin.f64 th) #s(literal 7926335344172073/18014398509481984 binary64)) (.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (fabs.f64 (*.f64 (sin.f64 th) (sin.f64 ky))))))))
(if (<=.f64 (sin.f64 th) #s(literal -7378697629483821/18446744073709551616 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.f64 (sin.f64 th) #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (if (<=.f64 (sin.f64 th) #s(literal 6124895493223875/36028797018963968 binary64)) (.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))) (if (<=.f64 (sin.f64 th) #s(literal 7926335344172073/18014398509481984 binary64)) (.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) (.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 ky))))))))
(if (<=.f64 (sin.f64 kx) #s(literal -1080863910568919/18014398509481984 binary64)) (.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 5928554968950589/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) (.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -1080863910568919/18014398509481984 binary64)) (.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 2486616182048933/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (sin.f64 th) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -1080863910568919/18014398509481984 binary64)) (fabs.f64 (.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) (if (<=.f64 (sin.f64 kx) #s(literal 2486616182048933/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (sin.f64 th) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -1080863910568919/18014398509481984 binary64)) (.f64 ky (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 2486616182048933/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (sin.f64 th) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -1080863910568919/18014398509481984 binary64)) (.f64 ky (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 2486616182048933/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (sin.f64 th) (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -7926335344172073/36028797018963968 binary64)) (fabs.f64 (.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 2486616182048933/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (sin.f64 th) (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/576460752303423488 binary64)) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 4109481173084667/82189623461693336050640466920002010399224059419112091554660639110448939910891887845526039629337319550421608888377784651765928628909121935361372105791435638280550369861381946846744746216942542457363957058371584 binary64)) (*.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 4109481173084667/82189623461693336050640466920002010399224059419112091554660639110448939910891887845526039629337319550421608888377784651765928628909121935361372105791435638280550369861381946846744746216942542457363957058371584 binary64)) (*.f64 ky (/.f64 (sin.f64 th) kx)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal 4109481173084667/82189623461693336050640466920002010399224059419112091554660639110448939910891887845526039629337319550421608888377784651765928628909121935361372105791435638280550369861381946846744746216942542457363957058371584 binary64)) (*.f64 ky (/.f64 (sin.f64 th) kx)) (sin.f64 th))
(if (<=.f64 ky #s(literal 4725903349047367/10273702932711667006330058365000251299903007427389011444332579888806117488861485980690754953667164943802701111047223081470741078613640241920171513223929454785068796232672743355843093277117817807170494632296448 binary64)) (*.f64 ky (/.f64 th (sin.f64 kx))) (sin.f64 th))
(sin.f64 th)
th

Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(if (<=.f64 (sin.f64 th) #s(literal -8106479329266893/18014398509481984 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.f64 (sin.f64 th) #s(literal -7378697629483821/18446744073709551616 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) ky)))))) (sin.f64 th)) (if (<=.f64 (sin.f64 th) #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))))
(if (<=.f64 (sin.f64 th) #s(literal -8106479329266893/18014398509481984 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.f64 (sin.f64 th) #s(literal -7378697629483821/18446744073709551616 binary64)) (.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 ky #s(literal 2 binary64)))))))) (if (<=.f64 (sin.f64 th) #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))))
(if (<=.f64 (sin.f64 th) #s(literal -7378697629483821/18446744073709551616 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.f64 (sin.f64 th) #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (if (<=.f64 (sin.f64 th) #s(literal 6124895493223875/36028797018963968 binary64)) (.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))) (if (<=.f64 (sin.f64 th) #s(literal 7926335344172073/18014398509481984 binary64)) (.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (fabs.f64 (*.f64 (sin.f64 th) (sin.f64 ky))))))))
(if (<=.f64 (sin.f64 th) #s(literal -7378697629483821/18446744073709551616 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.f64 (sin.f64 th) #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (if (<=.f64 (sin.f64 th) #s(literal 6124895493223875/36028797018963968 binary64)) (.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))) (if (<=.f64 (sin.f64 th) #s(literal 7926335344172073/18014398509481984 binary64)) (.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (fabs.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))))))
(if (<=.f64 (sin.f64 th) #s(literal -7378697629483821/18446744073709551616 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.f64 (sin.f64 th) #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (if (<=.f64 (sin.f64 th) #s(literal 6124895493223875/36028797018963968 binary64)) (.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))) (if (<=.f64 (sin.f64 th) #s(literal 7926335344172073/18014398509481984 binary64)) (.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) (.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 ky))))))))
(if (<=.f64 (sin.f64 th) #s(literal -7378697629483821/18446744073709551616 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.f64 (sin.f64 th) #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (if (or (<=.f64 (sin.f64 th) #s(literal 6124895493223875/36028797018963968 binary64)) (not (<=.f64 (sin.f64 th) #s(literal 7926335344172073/18014398509481984 binary64)))) (.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))) (*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))))
(if (<=.f64 (sin.f64 kx) #s(literal -1080863910568919/18014398509481984 binary64)) (.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 5928554968950589/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) (.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -1080863910568919/18014398509481984 binary64)) (.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 2486616182048933/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (sin.f64 th) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -1080863910568919/18014398509481984 binary64)) (fabs.f64 (.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) (if (<=.f64 (sin.f64 kx) #s(literal 2486616182048933/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (sin.f64 th) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -1080863910568919/18014398509481984 binary64)) (fabs.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 2486616182048933/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (sin.f64 th) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -1080863910568919/18014398509481984 binary64)) (.f64 ky (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 2486616182048933/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (sin.f64 th) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -1080863910568919/18014398509481984 binary64)) (.f64 ky (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 2486616182048933/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (sin.f64 th) (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -7926335344172073/36028797018963968 binary64)) (fabs.f64 (.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 2486616182048933/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (sin.f64 th) (.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/576460752303423488 binary64)) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 4109481173084667/82189623461693336050640466920002010399224059419112091554660639110448939910891887845526039629337319550421608888377784651765928628909121935361372105791435638280550369861381946846744746216942542457363957058371584 binary64)) (*.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 4109481173084667/82189623461693336050640466920002010399224059419112091554660639110448939910891887845526039629337319550421608888377784651765928628909121935361372105791435638280550369861381946846744746216942542457363957058371584 binary64)) (*.f64 ky (/.f64 (sin.f64 th) kx)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal 4109481173084667/82189623461693336050640466920002010399224059419112091554660639110448939910891887845526039629337319550421608888377784651765928628909121935361372105791435638280550369861381946846744746216942542457363957058371584 binary64)) (*.f64 ky (/.f64 (sin.f64 th) kx)) (sin.f64 th))
(if (<=.f64 ky #s(literal 4725903349047367/10273702932711667006330058365000251299903007427389011444332579888806117488861485980690754953667164943802701111047223081470741078613640241920171513223929454785068796232672743355843093277117817807170494632296448 binary64)) (*.f64 ky (/.f64 th (sin.f64 kx))) (sin.f64 th))
(sin.f64 th)
th

soundness2.2s (14.8%)

Rules

1002×	`log1p-expm1-u`
968×	`fma-define`
888×	`log1p-expm1-u`
824×	`fma-define`
806×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	589	19504
1	1533	18381
2	5642	18250
0	1555	36126
1	4273	35282
0	1056	35567
1	2958	33556
0	1172	24063
1	3177	23146
0	53	717
1	111	529
2	240	529
3	420	529
4	940	529
5	2219	529
6	3233	529
7	3758	529
8	4126	529
9	4217	529
10	4256	529
11	4256	529
0	23	198
1	341	198
2	3880	198
0	33	366
1	533	326
2	7201	326
0	26	269
1	392	269
2	5488	269
0	33	447
1	510	441
2	6883	441

Stop Event

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

Compiler

Compiled 2037 to 810 computations (60.2% saved)

preprocess380.0ms (2.6%)

Remove

(negabs th)

(negabs ky)

(abs kx)

Compiler

Compiled 1280 to 516 computations (59.7% saved)

analyze251.0ms (1.7%)

sample3.1s (21.2%)

preprocess181.0ms (1.2%)

explain250.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize375.0ms (2.6%)

series51.0ms (0.3%)

rewrite285.0ms (1.9%)

simplify291.0ms (2%)

eval83.0ms (0.6%)

prune56.0ms (0.4%)

localize415.0ms (2.8%)

series77.0ms (0.5%)

rewrite203.0ms (1.4%)

simplify282.0ms (1.9%)

eval246.0ms (1.7%)

prune169.0ms (1.2%)

localize219.0ms (1.5%)

series208.0ms (1.4%)

rewrite310.0ms (2.1%)

simplify332.0ms (2.3%)

eval271.0ms (1.8%)

prune424.0ms (2.9%)

localize114.0ms (0.8%)

series211.0ms (1.4%)

rewrite212.0ms (1.4%)

simplify245.0ms (1.7%)

eval231.0ms (1.6%)

prune537.0ms (3.7%)

regimes387.0ms (2.6%)

regimes228.0ms (1.6%)

regimes525.0ms (3.6%)

regimes91.0ms (0.6%)

regimes134.0ms (0.9%)

regimes477.0ms (3.3%)

regimes86.0ms (0.6%)

regimes45.0ms (0.3%)

regimes41.0ms (0.3%)

regimes133.0ms (0.9%)

regimes58.0ms (0.4%)

regimes66.0ms (0.5%)

regimes105.0ms (0.7%)

regimes18.0ms (0.1%)

regimes11.0ms (0.1%)

regimes5.0ms (0%)

regimes2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch22.0ms (0.1%)

simplify30.0ms (0.2%)

soundness2.2s (14.8%)

preprocess380.0ms (2.6%)

end0.0ms (0%)

Profiling