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

analyze268.0ms (2.2%)

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: 166.0ms

Operation ival-sin, time spent: 74.0ms, 45.0% of total-time

Operation ival-pow, time spent: 33.0ms, 20.0% of total-time

Operation ival-mult, time spent: 19.0ms, 11.0% of total-time

Operation ival-sqrt, time spent: 19.0ms, 11.0% of total-time

Operation ival-div, time spent: 9.0ms, 5.0% of total-time

Operation ival-add, time spent: 8.0ms, 5.0% of total-time

Operation const, time spent: 4.0ms, 2.0% of total-time

sample2.2s (17.6%)

Results

2.0s	8250×	256	valid
1.0ms	3×	512	valid
2.0ms	2×	1024	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

Operation ival-sin, time spent: 749.0ms, 61.0% of total-time

Operation ival-pow, time spent: 154.0ms, 12.0% of total-time

Operation ival-sqrt, time spent: 119.0ms, 10.0% of total-time

Operation ival-mult, time spent: 78.0ms, 6.0% of total-time

Operation ival-div, time spent: 67.0ms, 5.0% of total-time

Operation ival-add, time spent: 47.0ms, 4.0% of total-time

Operation const, time spent: 22.0ms, 2.0% of total-time

Bogosity

preprocess502.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1936×	`fma-define`
614×	`fma-neg`
390×	`unsub-neg`
362×	`times-frac`
340×	`associate-l`

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
13	0	-	1	(7.122500138873262e-250 3.5518209833270065e-157 6.717128270715799e-289)	`(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))`
0	0	-	0	-	`kx`
0	0	-	0	-	`ky`
0	0	-	0	-	`(sin.f64 ky)`
0	0	-	0	-	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))`
0	0	-	0	-	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))`
0	0	-	0	-	`th`
0	0	-	0	-	`(sin.f64 th)`
0	0	-	0	-	`(sin.f64 kx)`
0	69	(1.5096442940235218e-158 4.6562816889806896e-130 5.338003204126929e-111)	0	-	`(pow.f64 (sin.f64 kx) 2)`
0	0	-	0	-	`(+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))`
0	0	-	0	-	`2`
0	53	(1.5096442940235218e-158 4.6562816889806896e-130 5.338003204126929e-111)	0	-	`(pow.f64 (sin.f64 ky) 2)`

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) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (neg.f64 kx)) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 (neg.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 (neg.f64 ky)) 2)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 (neg.f64 th)))
(neg.f64 (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (neg.f64 kx)) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(neg.f64 (*.f64 (/.f64 (sin.f64 (neg.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 (neg.f64 ky)) 2)))) (sin.f64 th)))
(neg.f64 (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 (neg.f64 th))))
(*.f64 (/.f64 (sin.f64 kx) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 th) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 th) 2)))) (sin.f64 ky))

Outputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (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) 2) (pow.f64 (sin.f64 ky) 2)))) (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)) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (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) 2) (pow.f64 (sin.f64 (neg.f64 ky)) 2)))) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (neg.f64 (sin.f64 ky)) 2)))))
(*.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) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 (neg.f64 th)))
(*.f64 (sin.f64 th) (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (neg.f64 (sin.f64 ky)) 2)))))
(*.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)) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (neg.f64 (sin.f64 ky)) 2)))))
(*.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) 2) (pow.f64 (sin.f64 (neg.f64 ky)) 2)))) (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (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) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 (neg.f64 th))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (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) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.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) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 kx))
(*.f64 (sin.f64 kx) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 th) 2)))))
(*.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) 2) (pow.f64 (sin.f64 th) 2)))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 th) 2)))))
(*.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)

Compiler

Compiled 159 to 90 computations (43.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

Operation ival-sin, time spent: 45.0ms, 32.0% of total-time

Operation ival-pow, time spent: 41.0ms, 30.0% of total-time

Operation ival-sqrt, time spent: 23.0ms, 17.0% of total-time

Operation ival-add, time spent: 12.0ms, 9.0% of total-time

Operation ival-div, time spent: 8.0ms, 6.0% of total-time

Operation ival-mult, time spent: 5.0ms, 4.0% of total-time

Operation const, time spent: 4.0ms, 3.0% of total-time

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
▶	95.0%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (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)

localize164.0ms (1.3%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	99.7%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
✓	99.6%	(pow.f64 (sin.f64 ky) 2)
✓	99.6%	(pow.f64 (sin.f64 kx) 2)
✓	95.4%	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
✓	100.0%	(sin.f64 kx)
✓	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))))

Compiler

Compiled 103 to 41 computations (60.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

Operation ival-sin, time spent: 28.0ms, 28.0% of total-time

Operation ival-pow, time spent: 18.0ms, 18.0% of total-time

Operation composed, time spent: 12.0ms, 12.0% of total-time

Operation ival-sqrt, time spent: 12.0ms, 12.0% of total-time

Operation ival-mult, time spent: 10.0ms, 10.0% of total-time

Operation ival-div, time spent: 8.0ms, 8.0% of total-time

Operation ival-add, time spent: 8.0ms, 8.0% of total-time

Operation const, time spent: 5.0ms, 5.0% of total-time

series67.0ms (0.5%)

Counts

8 → 152

Calls

48 calls:

Time	Variable		Point	Expression
5.0ms	ky	@	inf	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
4.0ms	ky	@	0	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
4.0ms	th	@	inf	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
4.0ms	kx	@	inf	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
3.0ms	kx	@	inf	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

rewrite280.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1442×	`prod-diff`
888×	`log1p-expm1-u`
806×	`expm1-log1p-u`
218×	`associate-r`
154×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	206
1	341	206
2	3880	206

Stop Event

1×	node limit

Counts

8 → 208

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

eval142.0ms (1.2%)

Compiler: Compiled 8236 to 3966 computations (51.8% saved)

prune56.0ms (0.5%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	370	15	385
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	371	16	387

Accuracy

100.0%

Counts

387 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.7%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	29.9%	(/.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)))
▶	96.6%	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (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))
	34.2%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	76.7%	(*.f64 (/.f64 (sin.f64 ky) (log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sin.f64 th))
	98.0%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3)))
✓	99.6%	(*.f64 (sin.f64 ky) (/.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) (expm1.f64 (log1p.f64 (sin.f64 kx))))))
	62.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
▶	32.7%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
	34.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	99.5%	(.f64 (sin.f64 ky) (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
	48.3%	(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
▶	32.8%	(sin.f64 th)

Compiler

Compiled 414 to 281 computations (32.1% saved)

localize129.0ms (1%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
✓	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	99.7%	(*.f64 (sin.f64 ky) (sin.f64 th))
✓	99.7%	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
✓	96.7%	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
✓	100.0%	(sin.f64 kx)
✓	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	99.7%	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
✓	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
✓	99.7%	(/.f64 (sin.f64 th) (sin.f64 ky))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
✓	100.0%	(sin.f64 kx)
✓	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	99.7%	(/.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))

Compiler

Compiled 136 to 19 computations (86% saved)

Precisions

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

Operation ival-sin, time spent: 19.0ms, 36.0% of total-time

Operation composed, time spent: 10.0ms, 19.0% of total-time

Operation ival-div, time spent: 10.0ms, 19.0% of total-time

Operation ival-mult, time spent: 9.0ms, 17.0% of total-time

Operation ival-sqrt, time spent: 3.0ms, 6.0% of total-time

Operation ival-add, time spent: 1.0ms, 2.0% of total-time

Operation const, time spent: 1.0ms, 2.0% of total-time

series93.0ms (0.8%)

Counts

14 → 324

Calls

93 calls:

Time	Variable		Point	Expression
4.0ms	th	@	0	(/.f64 (sin.f64 th) (sin.f64 ky))
3.0ms	ky	@	0	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
3.0ms	th	@	-inf	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
3.0ms	th	@	0	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
2.0ms	ky	@	-inf	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))

rewrite240.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1148×	`log1p-expm1-u`
890×	`prod-diff`
290×	`expm1-log1p-u`
270×	`associate-r`
218×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	411
1	372	411
2	5061	411

Stop Event

1×	node limit

Counts

14 → 509

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)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (sin.f64 th))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))

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

eval348.0ms (2.8%)

Compiler: Compiled 23348 to 9666 computations (58.6% saved)

prune134.0ms (1.1%)

Pruning

40 alts after pruning (35 fresh and 5 done)

	Pruned	Kept	Total
New	1152	27	1179
Fresh	2	8	10
Picked	1	4	5
Done	0	1	1
Total	1155	40	1195

Accuracy

100.0%

Counts

1195 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	12.4%	(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sin.f64 ky) 2))
	96.7%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	39.4%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
	29.9%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	98.0%	(/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) 3))
✓	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
▶	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (sin.f64 kx)))) (sin.f64 th)))
	32.7%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
	34.2%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
✓	96.6%	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
	50.6%	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky))))
	47.7%	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky (sin.f64 th))))
	59.5%	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
	39.3%	(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
	32.4%	(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
	29.9%	(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 ky (sin.f64 th))))
	32.7%	(/.f64 1 (/.f64 1 (sin.f64 th)))
	96.2%	(/.f64 1 (.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 1 (.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))))))
✓	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	62.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
	34.2%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	31.7%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	99.5%	(.f64 (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (sin.f64 th))
	32.7%	(*.f64 (sin.f64 ky) (pow.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) -1))
	14.9%	(.f64 (sin.f64 ky) (/.f64 (+.f64 (sin.f64 th) (.f64 1/6 (*.f64 (pow.f64 ky 2) (sin.f64 th)))) ky))
	98.0%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3)))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	62.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
▶	34.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	15.3%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
	20.2%	(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
	99.5%	(.f64 (sin.f64 ky) (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
	32.7%	(.f64 (sin.f64 ky) (.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
	26.9%	(*.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))
	48.3%	(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
	14.9%	(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))
	20.2%	(.f64 th (+.f64 1 (.f64 -1/6 (pow.f64 th 2))))
✓	32.8%	(sin.f64 th)
▶	32.7%	(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))))
▶	20.2%	th

Compiler

Compiled 987 to 688 computations (30.3% saved)

localize883.0ms (7.2%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.8%	(expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))))
✓	99.8%	(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))))
✓	99.7%	(/.f64 (sin.f64 th) (sin.f64 ky))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
✓	89.0%	(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sin.f64 ky) 2))
✓	77.1%	(cos.f64 (-.f64 ky th))
✓	76.8%	(cos.f64 (+.f64 ky th))
✓	40.8%	(-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))
✓	100.0%	(sin.f64 kx)
✓	99.7%	(/.f64 (sin.f64 th) (sin.f64 kx))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
✓	99.8%	(expm1.f64 (log1p.f64 (sin.f64 kx)))
✓	99.7%	(/.f64 (hypot.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (sin.f64 kx)))) (sin.f64 th))
✓	99.6%	(log1p.f64 (sin.f64 kx))
✓	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (sin.f64 kx)))) (sin.f64 th)))

Compiler

Compiled 157 to 31 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 607.0ms

Operation composed, time spent: 182.0ms, 30.0% of total-time

Operation ival-cos, time spent: 96.0ms, 16.0% of total-time

Operation ival-sin, time spent: 93.0ms, 15.0% of total-time

Operation ival-log, time spent: 91.0ms, 15.0% of total-time

Operation ival-exp, time spent: 32.0ms, 5.0% of total-time

Operation ival-mult, time spent: 31.0ms, 5.0% of total-time

Operation ival-div, time spent: 28.0ms, 5.0% of total-time

Operation ival-sub, time spent: 21.0ms, 3.0% of total-time

Operation ival-add, time spent: 20.0ms, 3.0% of total-time

Operation ival-sqrt, time spent: 9.0ms, 1.0% of total-time

Operation const, time spent: 4.0ms, 1.0% of total-time

series134.0ms (1.1%)

Counts

15 → 296

Calls

90 calls:

Time	Variable		Point	Expression
42.0ms	kx	@	inf	(log1p.f64 (sin.f64 kx))
15.0ms	kx	@	-inf	(log1p.f64 (sin.f64 kx))
4.0ms	ky	@	0	(/.f64 (hypot.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (sin.f64 kx)))) (sin.f64 th))
2.0ms	th	@	inf	(/.f64 (sin.f64 th) (sin.f64 ky))
2.0ms	kx	@	0	(sin.f64 kx)

rewrite305.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

466×	`log1p-expm1-u`
370×	`associate-r`
330×	`times-frac`
252×	`associate-l`
251×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	470
1	530	398
2	8000	398

Stop Event

1×	node limit

Counts

15 → 561

Calls

Call 1

Inputs
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (sin.f64 kx)))) (sin.f64 th)))
(log1p.f64 (sin.f64 kx))
(/.f64 (hypot.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (sin.f64 kx)))) (sin.f64 th))
(expm1.f64 (log1p.f64 (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (sin.f64 th) (sin.f64 kx))
(sin.f64 kx)
(-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))
(cos.f64 (+.f64 ky th))
(cos.f64 (-.f64 ky th))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sin.f64 ky) 2))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (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)))))
(expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))))

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

eval228.0ms (1.8%)

Compiler: Compiled 15870 to 5990 computations (62.3% saved)

prune157.0ms (1.3%)

Pruning

52 alts after pruning (43 fresh and 9 done)

	Pruned	Kept	Total
New	863	19	882
Fresh	6	24	30
Picked	1	4	5
Done	0	5	5
Total	870	52	922

Accuracy

100.0%

Counts

922 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	12.4%	(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sin.f64 ky) 2))
	12.3%	(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 th)) (*.f64 (sin.f64 ky) 2))
	12.4%	(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 ky)) (*.f64 (sin.f64 ky) 2))
	13.5%	(/.f64 (-.f64 (cos.f64 (neg.f64 th)) (cos.f64 (+.f64 ky th))) (*.f64 (sin.f64 ky) 2))
	13.0%	(/.f64 (-.f64 (cos.f64 ky) (cos.f64 (+.f64 ky th))) (*.f64 (sin.f64 ky) 2))
	96.7%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	39.4%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
	23.3%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
	17.0%	(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
	29.9%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	98.0%	(/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) 3))
✓	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
✓	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (sin.f64 kx)))) (sin.f64 th)))
	32.7%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
✓	96.6%	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
	50.6%	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky))))
▶	47.7%	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky (sin.f64 th))))
	39.3%	(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
	32.4%	(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
	32.7%	(/.f64 1 (/.f64 1 (sin.f64 th)))
✓	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	62.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
	34.2%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	31.7%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
▶	99.5%	(.f64 (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (sin.f64 th))
	32.7%	(.f64 (sin.f64 th) (.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 ky)))
	32.7%	(*.f64 (sin.f64 ky) (pow.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) -1))
	34.1%	(*.f64 (sin.f64 ky) (pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) -1))
	98.0%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3)))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	62.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
▶	20.2%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (-.f64 (+.f64 (sin.f64 kx) 1) 1)))
✓	34.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	34.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (expm1.f64 (log1p.f64 (sin.f64 kx)))))
	15.3%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
	20.2%	(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
	18.7%	(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
	32.7%	(.f64 (sin.f64 ky) (.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
	34.1%	(.f64 (sin.f64 ky) (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)))
	26.9%	(*.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))
	48.3%	(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
	14.9%	(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))
	20.2%	(.f64 th (+.f64 1 (.f64 -1/6 (pow.f64 th 2))))
	12.6%	(.f64 -1 (/.f64 (.f64 (sin.f64 (.f64 (-.f64 ky (+.f64 th (+.f64 ky th))) 1/2)) (sin.f64 (.f64 (+.f64 (-.f64 ky th) (+.f64 ky th)) 1/2))) (sin.f64 ky)))
✓	32.8%	(sin.f64 th)
	24.6%	(log1p.f64 (-.f64 (exp.f64 (sin.f64 th)) 1))
	31.8%	(log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))))
▶	32.7%	(log1p.f64 (expm1.f64 (sin.f64 th)))
▶	21.2%	(log1p.f64 th)
	13.3%	(log.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))))
	31.3%	(expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))))
✓	20.2%	th

Compiler

Compiled 1221 to 872 computations (28.6% saved)

localize413.0ms (3.3%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	99.8%	(*.f64 ky (sin.f64 th))
✓	99.5%	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky (sin.f64 th))))
✓	96.7%	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky (sin.f64 th)))
✓	99.7%	(/.f64 (sin.f64 th) (-.f64 (+.f64 (sin.f64 kx) 1) 1))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (-.f64 (+.f64 (sin.f64 kx) 1) 1)))
✓	99.5%	(+.f64 (sin.f64 kx) 1)
✓	49.6%	(-.f64 (+.f64 (sin.f64 kx) 1) 1)
✓	99.8%	(expm1.f64 (sin.f64 th))
✓	99.8%	(log1p.f64 (expm1.f64 (sin.f64 th)))
✓	100.0%	(log1p.f64 th)
✓	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	99.7%	(.f64 (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (sin.f64 th))
✓	99.6%	(/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	99.5%	(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))

Compiler

Compiled 144 to 44 computations (69.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 368.0ms

Operation composed, time spent: 125.0ms, 34.0% of total-time

Operation ival-log, time spent: 63.0ms, 17.0% of total-time

Operation ival-sin, time spent: 54.0ms, 15.0% of total-time

Operation ival-mult, time spent: 30.0ms, 8.0% of total-time

Operation ival-div, time spent: 27.0ms, 7.0% of total-time

Operation ival-add, time spent: 26.0ms, 7.0% of total-time

Operation ival-exp, time spent: 19.0ms, 5.0% of total-time

Operation ival-sub, time spent: 11.0ms, 3.0% of total-time

Operation ival-sqrt, time spent: 7.0ms, 2.0% of total-time

Operation const, time spent: 6.0ms, 2.0% of total-time

series78.0ms (0.6%)

Counts

15 → 328

Calls

87 calls:

Time	Variable		Point	Expression
3.0ms	th	@	0	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky (sin.f64 th)))
3.0ms	th	@	0	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky (sin.f64 th))))
2.0ms	ky	@	-inf	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
2.0ms	kx	@	0	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky (sin.f64 th))))
2.0ms	kx	@	-inf	(/.f64 (sin.f64 th) (-.f64 (+.f64 (sin.f64 kx) 1) 1))

rewrite237.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`prod-diff`
737×	`log1p-expm1-u`
334×	`associate-r`
238×	`associate-l`
198×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	382
1	437	358
2	6060	358

Stop Event

1×	node limit

Counts

15 → 425

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (sin.f64 th))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(log1p.f64 th)
(log1p.f64 (expm1.f64 (sin.f64 th)))
(expm1.f64 (sin.f64 th))
(-.f64 (+.f64 (sin.f64 kx) 1) 1)
(+.f64 (sin.f64 kx) 1)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (-.f64 (+.f64 (sin.f64 kx) 1) 1)))
(/.f64 (sin.f64 th) (-.f64 (+.f64 (sin.f64 kx) 1) 1))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky (sin.f64 th)))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky (sin.f64 th))))
(*.f64 ky (sin.f64 th))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))

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

eval322.0ms (2.6%)

Compiler: Compiled 15405 to 7251 computations (52.9% saved)

prune178.0ms (1.4%)

Pruning

61 alts after pruning (51 fresh and 10 done)

	Pruned	Kept	Total
New	823	26	849
Fresh	13	25	38
Picked	2	3	5
Done	2	7	9
Total	840	61	901

Accuracy

100.0%

Counts

901 → 61

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.2%	(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
	12.3%	(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 th)) (*.f64 (sin.f64 ky) 2))
	12.4%	(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 ky)) (*.f64 (sin.f64 ky) 2))
	13.5%	(/.f64 (-.f64 (cos.f64 (neg.f64 th)) (cos.f64 (+.f64 ky th))) (*.f64 (sin.f64 ky) 2))
	13.0%	(/.f64 (-.f64 (cos.f64 ky) (cos.f64 (+.f64 ky th))) (*.f64 (sin.f64 ky) 2))
	96.7%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	39.4%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
	23.3%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
	17.0%	(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
	21.7%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
	29.9%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	98.0%	(/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) 3))
✓	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
✓	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (sin.f64 kx)))) (sin.f64 th)))
✓	96.6%	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
	50.6%	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky))))
	25.1%	(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky th)))
	30.7%	(/.f64 1 (/.f64 (+.f64 (sin.f64 kx) (.f64 1/2 (/.f64 (pow.f64 ky 2) (sin.f64 kx)))) (.f64 ky (sin.f64 th))))
	21.7%	(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
	32.4%	(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
	32.7%	(/.f64 1 (/.f64 1 (sin.f64 th)))
	47.4%	(/.f64 1 (.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 1 (.f64 (sin.f64 th) (neg.f64 ky)))))
✓	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	62.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
	34.2%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	31.7%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	50.6%	(*.f64 (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky)) (sin.f64 th))
	50.6%	(.f64 (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) ky)
	50.7%	(.f64 (.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) ky) (sin.f64 th))
	32.7%	(.f64 (.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 ky)) (sin.f64 th))
	34.1%	(.f64 (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
	50.7%	(*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	98.0%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3)))
	20.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (-.f64 (-.f64 (+.f64 (sin.f64 kx) 2) 1) 1)))
✓	20.2%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (-.f64 (+.f64 (sin.f64 kx) 1) 1)))
✓	34.1%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
	15.3%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
	20.2%	(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
	18.7%	(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
	34.1%	(.f64 (sin.f64 ky) (.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)))
	26.9%	(*.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))
	48.3%	(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
	20.1%	(.f64 th (+.f64 1 (.f64 -1/2 th)))
	50.7%	(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
	4.1%	(*.f64 -1 (log.f64 (/.f64 1 th)))
	24.5%	(sqrt.f64 (pow.f64 (sin.f64 th) 2))
✓	32.8%	(sin.f64 th)
	32.1%	(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 th))) 3))
	23.2%	(log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 th)) 2)))
	24.5%	(log1p.f64 (log.f64 (exp.f64 (expm1.f64 (sin.f64 th)))))
	31.8%	(log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))))
✓	32.7%	(log1p.f64 (expm1.f64 (sin.f64 th)))
	29.1%	(log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 th)) 3)))
✓	21.2%	(log1p.f64 th)
	13.3%	(log.f64 (+.f64 1 th))
	13.3%	(log.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))))
	24.6%	(log.f64 (exp.f64 (sin.f64 th)))
	21.2%	(expm1.f64 (log1p.f64 (log1p.f64 th)))
	19.7%	(exp.f64 (log.f64 (log1p.f64 th)))
	29.1%	(cbrt.f64 (pow.f64 (sin.f64 th) 3))
✓	20.2%	th

Compiler

Compiled 1596 to 857 computations (46.3% saved)

regimes466.0ms (3.8%)

Counts

89 → 1

Calls

Call 1

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

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

Calls

9 calls:

86.0ms	th
85.0ms	(sin.f64 ky)
52.0ms	ky
46.0ms	(sin.f64 th)
42.0ms	(sin.f64 kx)

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) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))`
99.7%	1	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))`
99.7%	1	`(sin.f64 ky)`
99.7%	1	`(pow.f64 (sin.f64 kx) 2)`
99.7%	1	`(sin.f64 kx)`
99.7%	1	`(sin.f64 th)`

Compiler

Compiled 69 to 53 computations (23.2% saved)

regimes245.0ms (2%)

Counts

75 → 1

Calls

Call 1

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

44.0ms	(sin.f64 kx)
43.0ms	ky
41.0ms	th
39.0ms	(sin.f64 ky)
35.0ms	(sin.f64 th)

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)

regimes748.0ms (6.1%)

Counts

74 → 3

Calls

Call 1

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

Outputs

(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky))))

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

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

Calls

6 calls:

161.0ms	(sin.f64 th)
154.0ms	kx
124.0ms	ky
118.0ms	(sin.f64 ky)
92.0ms	th

Results

Accuracy	Segments	Branch
84.2%	5	`kx`
81.6%	4	`ky`
77.4%	3	`th`
81.4%	3	`(sin.f64 ky)`
81.6%	3	`(sin.f64 kx)`
79.2%	5	`(sin.f64 th)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes201.0ms (1.6%)

Counts

59 → 3

Calls

Call 1

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

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

Calls

2 calls:

120.0ms	(sin.f64 ky)
77.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
81.4%	3	`(sin.f64 ky)`
80.8%	3	`(sin.f64 kx)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes241.0ms (1.9%)

Counts

53 → 3

Calls

Call 1

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

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

Calls

1 calls:

236.0ms

(sin.f64 ky)

Results

Accuracy	Segments	Branch
81.4%	3	`(sin.f64 ky)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes71.0ms (0.6%)

Counts

52 → 3

Calls

Call 1

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

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

Calls

1 calls:

67.0ms

(sin.f64 ky)

Results

Accuracy	Segments	Branch
81.3%	3	`(sin.f64 ky)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes533.0ms (4.3%)

Counts

49 → 3

Calls

Call 1

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

Outputs
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(sin.f64 th)

Calls

6 calls:

141.0ms	(sin.f64 th)
118.0ms	th
99.0ms	(sin.f64 kx)
67.0ms	(sin.f64 ky)
62.0ms	kx

Results

Accuracy	Segments	Branch
58.7%	7	`(sin.f64 th)`
57.6%	6	`th`
69.2%	2	`ky`
60.1%	5	`(sin.f64 kx)`
57.6%	2	`kx`
71.1%	3	`(sin.f64 ky)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes221.0ms (1.8%)

Counts

48 → 3

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky th)))
(sin.f64 th)

Calls

3 calls:

79.0ms	(sin.f64 ky)
77.0ms	ky
61.0ms	kx

Results

Accuracy	Segments	Branch
49.3%	2	`kx`
56.2%	3	`ky`
57.4%	3	`(sin.f64 ky)`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes222.0ms (1.8%)

Counts

39 → 4

Calls

Call 1

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

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

Calls

3 calls:

87.0ms	(sin.f64 kx)
65.0ms	ky
65.0ms	(sin.f64 ky)

Results

Accuracy	Segments	Branch
55.5%	4	`ky`
51.7%	5	`(sin.f64 kx)`
56.7%	4	`(sin.f64 ky)`

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes56.0ms (0.5%)

Counts

28 → 4

Calls

Call 1

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

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

Calls

1 calls:

54.0ms

(sin.f64 ky)

Results

Accuracy	Segments	Branch
56.6%	4	`(sin.f64 ky)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes67.0ms (0.5%)

Counts

26 → 5

Calls

Call 1

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

Outputs
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(sin.f64 th)

Calls

1 calls:

65.0ms

(sin.f64 ky)

Results

Accuracy	Segments	Branch
57.3%	5	`(sin.f64 ky)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes95.0ms (0.8%)

Counts

23 → 4

Calls

Call 1

Inputs
th
(.f64 th (+.f64 1 (.f64 -1/2 th)))
(log1p.f64 th)
(sin.f64 th)
(log.f64 (+.f64 1 th))
(*.f64 -1 (log.f64 (/.f64 1 th)))
(/.f64 1 (/.f64 1 (sin.f64 th)))
(.f64 th (+.f64 1 (.f64 -1/6 (pow.f64 th 2))))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 ky (sin.f64 th))))
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(exp.f64 (log.f64 (log1p.f64 th)))
(expm1.f64 (log1p.f64 (log1p.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))

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

Calls

2 calls:

47.0ms	(sin.f64 ky)
46.0ms	ky

Results

Accuracy	Segments	Branch
55.5%	4	`ky`
55.4%	4	`(sin.f64 ky)`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes31.0ms (0.2%)

Counts

13 → 4

Calls

Call 1

Inputs
th
(.f64 th (+.f64 1 (.f64 -1/2 th)))
(log1p.f64 th)
(sin.f64 th)
(log.f64 (+.f64 1 th))
(*.f64 -1 (log.f64 (/.f64 1 th)))
(/.f64 1 (/.f64 1 (sin.f64 th)))
(.f64 th (+.f64 1 (.f64 -1/6 (pow.f64 th 2))))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))

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

Calls

1 calls:

30.0ms

ky

Results

Accuracy	Segments	Branch
55.5%	4	`ky`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes110.0ms (0.9%)

Counts

11 → 2

Calls

Call 1

Inputs
th
(.f64 th (+.f64 1 (.f64 -1/2 th)))
(log1p.f64 th)
(sin.f64 th)
(log.f64 (+.f64 1 th))
(*.f64 -1 (log.f64 (/.f64 1 th)))
(/.f64 1 (/.f64 1 (sin.f64 th)))
(.f64 th (+.f64 1 (.f64 -1/6 (pow.f64 th 2))))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))

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

Calls

6 calls:

24.0ms	(sin.f64 kx)
21.0ms	th
18.0ms	(sin.f64 th)
18.0ms	kx
13.0ms	ky

Results

Accuracy	Segments	Branch
40.7%	3	`(sin.f64 kx)`
40.2%	2	`kx`
35.6%	3	`(sin.f64 th)`
35.6%	3	`th`
42.0%	2	`(sin.f64 ky)`
41.3%	2	`ky`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes31.0ms (0.3%)

Counts

8 → 2

Calls

Call 1

Inputs
th
(.f64 th (+.f64 1 (.f64 -1/2 th)))
(log1p.f64 th)
(sin.f64 th)
(log.f64 (+.f64 1 th))
(*.f64 -1 (log.f64 (/.f64 1 th)))
(/.f64 1 (/.f64 1 (sin.f64 th)))
(.f64 th (+.f64 1 (.f64 -1/6 (pow.f64 th 2))))

Outputs
(log.f64 (+.f64 1 th))
(sin.f64 th)

Calls

2 calls:

16.0ms	kx
14.0ms	ky

Results

Accuracy	Segments	Branch
37.2%	2	`kx`
37.6%	2	`ky`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes12.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
th
(.f64 th (+.f64 1 (.f64 -1/2 th)))
(log1p.f64 th)
(sin.f64 th)

Outputs
(sin.f64 th)

Calls

2 calls:

7.0ms	ky
4.0ms	kx

Results

Accuracy	Segments	Branch
32.8%	1	`kx`
32.8%	1	`ky`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes12.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
th
(.f64 th (+.f64 1 (.f64 -1/2 th)))
(log1p.f64 th)

Outputs
(log1p.f64 th)

Calls

3 calls:

5.0ms	th
4.0ms	kx
3.0ms	ky

Results

Accuracy	Segments	Branch
21.2%	1	`th`
21.2%	1	`kx`
21.2%	1	`ky`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.1%)

Accuracy

Total -0.6b remaining (-1.1%)

Threshold costs -0.6b (-1.1%)

Counts

2 → 1

Calls

Call 1

Inputs
th
(.f64 th (+.f64 1 (.f64 -1/2 th)))

Outputs
th

Calls

3 calls:

3.0ms	ky
3.0ms	kx
3.0ms	th

Results

Accuracy	Segments	Branch
20.2%	1	`kx`
20.2%	1	`th`
20.2%	1	`ky`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.900784774462883e-8	0.002668589372184956
0.0ms	-0.00529488366078497	9.463396833196234e-308

Compiler

Compiled 25 to 19 computations (24% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0007154237099571541	0.001375382943226412
0.0ms	-0.03222567916008247	7.735511098503533e-308

Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0007154237099571541	0.001375382943226412
0.0ms	-0.03222567916008247	7.735511098503533e-308

Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0007154237099571541	0.001375382943226412
0.0ms	-0.03222567916008247	7.735511098503533e-308

Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0007154237099571541	0.001375382943226412
0.0ms	-0.03222567916008247	7.735511098503533e-308

Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5098082926994977e-46	1.4720593537332182e-36
0.0ms	2.3616065140357385e-119	4.2310590253203024e-114

Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch0.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.8702623862364486e-24	2.883429917998321e-24
0.0ms	1.92240347454024e-47	1.5098082926994977e-46
0.0ms	3.75811577882878e-87	2.0928150527157687e-86

Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch0.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.8702623862364486e-24	2.883429917998321e-24
0.0ms	1.92240347454024e-47	1.5098082926994977e-46
0.0ms	3.75811577882878e-87	2.0928150527157687e-86

Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.8702623862364486e-24	2.883429917998321e-24
0.0ms	1.92240347454024e-47	1.5098082926994977e-46
0.0ms	3.75811577882878e-87	2.0928150527157687e-86
0.0ms	-0.03222567916008247	7.735511098503533e-308

Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch217.0ms (1.8%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	1.8702623862364486e-24	2.883429917998321e-24
24.0ms	1.92240347454024e-47	1.5098082926994977e-46
178.0ms	3.75811577882878e-87	2.0928150527157687e-86

Results

210.0ms	255×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 357 to 263 computations (26.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

Operation ival-sin, time spent: 15.0ms, 54.0% of total-time

Operation ival-pow, time spent: 4.0ms, 14.0% of total-time

Operation ival-sqrt, time spent: 3.0ms, 11.0% of total-time

Operation ival-div, time spent: 2.0ms, 7.0% of total-time

Operation ival-mult, time spent: 2.0ms, 7.0% of total-time

Operation ival-add, time spent: 1.0ms, 4.0% of total-time

Operation const, time spent: 1.0ms, 4.0% of total-time

bsearch60.0ms (0.5%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	1.8702623862364486e-24	2.883429917998321e-24
23.0ms	1.92240347454024e-47	1.5098082926994977e-46
23.0ms	3.75811577882878e-87	2.0928150527157687e-86

Results

54.0ms	255×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 297 to 227 computations (23.6% saved)

Precisions

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

Operation ival-sin, time spent: 18.0ms, 58.0% of total-time

Operation ival-pow, time spent: 4.0ms, 13.0% of total-time

Operation ival-sqrt, time spent: 3.0ms, 10.0% of total-time

Operation ival-div, time spent: 2.0ms, 6.0% of total-time

Operation ival-mult, time spent: 2.0ms, 6.0% of total-time

Operation ival-add, time spent: 1.0ms, 3.0% of total-time

Operation const, time spent: 1.0ms, 3.0% of total-time

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.549247508654919e-89	4.5299566523397394e-88

Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch50.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	fuel
1×	narrow-enough

Steps

Time	Left	Right
40.0ms	1.896514775885891e-162	8.867610553235582e-159

Results

25.0ms	127×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 627 to 380 computations (39.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

Operation ival-sin, time spent: 8.0ms, 56.0% of total-time

Operation ival-sqrt, time spent: 2.0ms, 14.0% of total-time

Operation ival-pow, time spent: 2.0ms, 14.0% of total-time

Operation ival-div, time spent: 1.0ms, 7.0% of total-time

Operation ival-add, time spent: 1.0ms, 7.0% of total-time

Operation ival-mult, time spent: 1.0ms, 7.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

soundness929.0ms (7.5%)

Rules

1936×	`fma-define`
1442×	`prod-diff`
1148×	`log1p-expm1-u`
922×	`prod-diff`
890×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	411
1	372	411
2	5061	411
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	206
1	341	206
2	3880	206
0	28	382
1	437	358
2	6060	358

Stop Event

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

Compiler

Compiled 561 to 237 computations (57.8% saved)

end1.0ms (0%)

preprocess182.0ms (1.5%)

Remove

(negabs th)

(negabs ky)

(abs kx)

Compiler

Compiled 1336 to 572 computations (57.2% saved)

analyze268.0ms (2.2%)

sample2.2s (17.6%)

preprocess502.0ms (4.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize164.0ms (1.3%)

series67.0ms (0.5%)

rewrite280.0ms (2.3%)

eval142.0ms (1.2%)

prune56.0ms (0.5%)

localize129.0ms (1%)

series93.0ms (0.8%)

rewrite240.0ms (1.9%)

eval348.0ms (2.8%)

prune134.0ms (1.1%)

localize883.0ms (7.2%)

series134.0ms (1.1%)

rewrite305.0ms (2.5%)

eval228.0ms (1.8%)

prune157.0ms (1.3%)

localize413.0ms (3.3%)

series78.0ms (0.6%)

rewrite237.0ms (1.9%)

eval322.0ms (2.6%)

prune178.0ms (1.4%)

regimes466.0ms (3.8%)

regimes245.0ms (2%)

regimes748.0ms (6.1%)

regimes201.0ms (1.6%)

regimes241.0ms (1.9%)

regimes71.0ms (0.6%)

regimes533.0ms (4.3%)

regimes221.0ms (1.8%)

regimes222.0ms (1.8%)

regimes56.0ms (0.5%)

regimes67.0ms (0.5%)

regimes95.0ms (0.8%)

regimes31.0ms (0.2%)

regimes110.0ms (0.9%)

regimes31.0ms (0.3%)

regimes12.0ms (0.1%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch217.0ms (1.8%)

bsearch60.0ms (0.5%)

bsearch0.0ms (0%)

bsearch50.0ms (0.4%)

soundness929.0ms (7.5%)

end1.0ms (0%)

preprocess182.0ms (1.5%)

Profiling