Metrics for Destination given bearing on a great circle

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.3s (21.2%)

Memory

10.4MiB live, 1 199.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
0%	0%	99.8%	0.2%	0%	0%	0%	9
0%	0%	99.8%	0.2%	0%	0%	0%	10
1.6%	1.6%	98.2%	0.2%	0%	0%	0%	11
1.6%	1.6%	98.2%	0.2%	0%	0%	0%	12

Compiler

Compiled 35 to 25 computations (28.6% saved)

sample3.0s (49%)

Memory

63.6MiB live, 2 529.2MiB allocated

Samples

2.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 2.0s

ival-sin: 793.0ms (38.7% of total)

ival-cos: 548.0ms (26.8% of total)

ival-mult: 325.0ms (15.9% of total)

ival-asin: 145.0ms (7.1% of total)

ival-add: 90.0ms (4.4% of total)

ival-atan2: 76.0ms (3.7% of total)

ival-sub: 59.0ms (2.9% of total)

ival-true: 7.0ms (0.3% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain398.0ms (6.6%)

Memory

-19.3MiB live, 379.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
12	1	(8.538325301162344e+128 -3.3109502140937405e+91 -1.560714716607669e+220 4.805173528164559e-106 -1.5775240330322505e+286)	5	(-2.665216579672568e-13 -3.230811234812993e+216 1.1306180289323717e-38 3.03649527109364e-263 -3.7096545554255682e+270)	`(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))`
1	0	-	1	(2.813597956056288e+27 5.191910884536024e+80 -3.274659888137171e+153 1.2691906532639479e+203 -4.014010479979492e-206)	`(+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))`
0	0	-	0	-	`(cos.f64 theta)`
0	0	-	0	-	`theta`
0	0	-	0	-	`(sin.f64 theta)`
0	0	-	0	-	`(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))`
0	0	-	0	-	`(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))`
0	0	-	0	-	`delta`
0	0	-	0	-	`(sin.f64 phi1)`
0	0	-	0	-	`(*.f64 (sin.f64 phi1) (cos.f64 delta))`
0	0	-	0	-	`lambda1`
0	0	-	0	-	`(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))`
0	0	-	0	-	`(*.f64 (sin.f64 theta) (sin.f64 delta))`
0	0	-	0	-	`phi1`
0	0	-	0	-	`(*.f64 (cos.f64 phi1) (sin.f64 delta))`
0	0	-	0	-	`(.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))`
0	0	-	0	-	`(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))`
0	0	-	0	-	`(sin.f64 delta)`
0	0	-	0	-	`(sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))`
0	0	-	0	-	`(cos.f64 delta)`
0	0	-	0	-	`(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))`
0	0	-	0	-	`(cos.f64 phi1)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))`	cancellation	2	2

Confusion

	Predicted +	Predicted -
+	1	2
-	1	252

Precision

0.5

Recall

0.3333333333333333

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	1	1
-	1	2	250

Precision?

0.4

Recall?

0.6666666666666666

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

159.0ms

512×

valid

Compiler

Compiled 628 to 96 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-sin: 39.0ms (30.7% of total)

ival-cos: 30.0ms (23.6% of total)

ival-asin: 26.0ms (20.5% of total)

ival-mult: 19.0ms (15% of total)

ival-add: 5.0ms (3.9% of total)

ival-atan2: 4.0ms (3.2% of total)

ival-sub: 2.0ms (1.6% of total)

ival-true: 1.0ms (0.8% of total)

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

preprocess5.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs

(+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))

Outputs

(+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))

Compiler

Compiled 33 to 23 computations (30.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))

Status

Accuracy

Program

▶

99.7%

(+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))

Compiler

Compiled 33 to 23 computations (30.3% saved)

simplify1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 (sin.f64 theta) (sin.f64 delta))
cost-diff	0	(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
cost-diff	0	(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
cost-diff	0	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))

Calls

Call 1

Inputs
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
lambda1
(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(sin.f64 theta)
theta
(sin.f64 delta)
delta
(cos.f64 phi1)
phi1
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(cos.f64 delta)
(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
(sin.f64 phi1)
(sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
(+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))
(*.f64 (sin.f64 phi1) (cos.f64 delta))
(.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))
(*.f64 (cos.f64 phi1) (sin.f64 delta))
(cos.f64 theta)

Outputs
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
lambda1
(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(sin.f64 theta)
theta
(sin.f64 delta)
delta
(cos.f64 phi1)
phi1
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(cos.f64 delta)
(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
(sin.f64 phi1)
(sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
(+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))
(*.f64 (sin.f64 phi1) (cos.f64 delta))
(.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))
(*.f64 (cos.f64 phi1) (sin.f64 delta))
(cos.f64 theta)

localize103.0ms (1.7%)

Memory

4.6MiB live, 80.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.234375	(*.f64 (sin.f64 theta) (sin.f64 delta))
accuracy	0.2578125	(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
accuracy	0.2769163937041713	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
accuracy	0.59442489438083	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))

Samples

79.0ms

256×

valid

Compiler

Compiled 396 to 48 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-sin: 20.0ms (30.9% of total)

ival-cos: 15.0ms (23.2% of total)

ival-atan2: 13.0ms (20.1% of total)

ival-mult: 10.0ms (15.5% of total)

ival-asin: 4.0ms (6.2% of total)

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

ival-sub: 1.0ms (1.5% of total)

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

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

series55.0ms (0.9%)

Memory

-2.5MiB live, 38.9MiB allocated

Counts

7 → 53

Calls

Call 1

Inputs
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))

Outputs
(atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta)))))))
(+ lambda1 (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))))
lambda1
(* lambda1 (+ 1 (/ (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))) lambda1)))
(* -1 (* lambda1 (- (* -1 (/ (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))) lambda1)) 1)))
(* (sin delta) (sin theta))
(+ (* -1/2 (* (pow phi1 2) (* (sin delta) (sin theta)))) (* (sin delta) (sin theta)))
(+ (* (sin delta) (sin theta)) (* (pow phi1 2) (+ (* -1/2 (* (sin delta) (sin theta))) (* 1/24 (* (pow phi1 2) (* (sin delta) (sin theta)))))))
(+ (* (sin delta) (sin theta)) (* (pow phi1 2) (+ (* -1/2 (* (sin delta) (sin theta))) (* (pow phi1 2) (+ (* -1/720 (* (pow phi1 2) (* (sin delta) (sin theta)))) (* 1/24 (* (sin delta) (sin theta))))))))
(cos delta)
(+ (cos delta) (* -1 (* phi1 (* (cos theta) (sin delta)))))
(+ (cos delta) (* phi1 (- (* -1 (* phi1 (cos delta))) (* (cos theta) (sin delta)))))
(+ (cos delta) (* phi1 (- (* phi1 (- (* -1 (* phi1 (+ (* -1/2 (* (cos theta) (sin delta))) (* -1/6 (* (cos theta) (sin delta)))))) (cos delta))) (* (cos theta) (sin delta)))))
(asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta)))))
(* phi1 (* (cos theta) (sin delta)))
(* phi1 (+ (* phi1 (cos delta)) (* (cos theta) (sin delta))))
(* phi1 (+ (* phi1 (+ (cos delta) (* phi1 (+ (* -1/2 (* (cos theta) (sin delta))) (* -1/6 (* (cos theta) (sin delta))))))) (* (cos theta) (sin delta))))
(* phi1 (+ (* phi1 (+ (cos delta) (* phi1 (+ (* -1/2 (* (cos theta) (sin delta))) (+ (* -1/3 (* phi1 (cos delta))) (* -1/6 (* (cos theta) (sin delta)))))))) (* (cos theta) (sin delta))))
(* (cos phi1) (* (sin delta) (sin theta)))
(- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))
(* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta)))))
(* delta (* (cos phi1) (sin theta)))
(* delta (+ (* -1/6 (* (pow delta 2) (* (cos phi1) (sin theta)))) (* (cos phi1) (sin theta))))
(* delta (+ (* (cos phi1) (sin theta)) (* (pow delta 2) (+ (* -1/6 (* (cos phi1) (sin theta))) (* 1/120 (* (pow delta 2) (* (cos phi1) (sin theta))))))))
(* delta (+ (* (cos phi1) (sin theta)) (* (pow delta 2) (+ (* -1/6 (* (cos phi1) (sin theta))) (* (pow delta 2) (+ (* -1/5040 (* (pow delta 2) (* (cos phi1) (sin theta)))) (* 1/120 (* (cos phi1) (sin theta)))))))))
(* delta (sin theta))
(* delta (+ (sin theta) (* -1/6 (* (pow delta 2) (sin theta)))))
(* delta (+ (sin theta) (* (pow delta 2) (+ (* -1/6 (sin theta)) (* 1/120 (* (pow delta 2) (sin theta)))))))
(* delta (+ (sin theta) (* (pow delta 2) (+ (* -1/6 (sin theta)) (* (pow delta 2) (+ (* -1/5040 (* (pow delta 2) (sin theta))) (* 1/120 (sin theta))))))))
(- 1 (pow (sin phi1) 2))
(- (+ 1 (* -1 (* delta (* (cos phi1) (* (cos theta) (sin phi1)))))) (pow (sin phi1) 2))
(- (+ 1 (* delta (- (* -1 (* delta (+ 1/2 (* -1/2 (pow (sin phi1) 2))))) (* (cos phi1) (* (cos theta) (sin phi1)))))) (pow (sin phi1) 2))
(- (+ 1 (* delta (- (* delta (- (* 1/6 (* delta (* (cos phi1) (* (cos theta) (sin phi1))))) (+ 1/2 (* -1/2 (pow (sin phi1) 2))))) (* (cos phi1) (* (cos theta) (sin phi1)))))) (pow (sin phi1) 2))
(pow (sin phi1) 2)
(+ (* delta (* (cos phi1) (* (cos theta) (sin phi1)))) (pow (sin phi1) 2))
(+ (* delta (+ (* -1/2 (* delta (pow (sin phi1) 2))) (* (cos phi1) (* (cos theta) (sin phi1))))) (pow (sin phi1) 2))
(+ (* delta (+ (* delta (+ (* -1/2 (pow (sin phi1) 2)) (* -1/6 (* delta (* (cos phi1) (* (cos theta) (sin phi1))))))) (* (cos phi1) (* (cos theta) (sin phi1))))) (pow (sin phi1) 2))
(* theta (* (cos phi1) (sin delta)))
(* theta (+ (* -1/6 (* (pow theta 2) (* (cos phi1) (sin delta)))) (* (cos phi1) (sin delta))))
(* theta (+ (* (cos phi1) (sin delta)) (* (pow theta 2) (+ (* -1/6 (* (cos phi1) (sin delta))) (* 1/120 (* (pow theta 2) (* (cos phi1) (sin delta))))))))
(* theta (+ (* (cos phi1) (sin delta)) (* (pow theta 2) (+ (* -1/6 (* (cos phi1) (sin delta))) (* (pow theta 2) (+ (* -1/5040 (* (pow theta 2) (* (cos phi1) (sin delta)))) (* 1/120 (* (cos phi1) (sin delta)))))))))
(* theta (sin delta))
(* theta (+ (sin delta) (* -1/6 (* (pow theta 2) (sin delta)))))
(* theta (+ (sin delta) (* (pow theta 2) (+ (* -1/6 (sin delta)) (* 1/120 (* (pow theta 2) (sin delta)))))))
(* theta (+ (sin delta) (* (pow theta 2) (+ (* -1/6 (sin delta)) (* (pow theta 2) (+ (* -1/5040 (* (pow theta 2) (sin delta))) (* 1/120 (sin delta))))))))
(- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(- (+ (cos delta) (* 1/2 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1)))))) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(- (+ (cos delta) (* (pow theta 2) (- (* -1/24 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))) (* -1/2 (* (cos phi1) (* (sin delta) (sin phi1))))))) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(- (+ (cos delta) (* (pow theta 2) (- (* (pow theta 2) (- (* 1/720 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))) (* 1/24 (* (cos phi1) (* (sin delta) (sin phi1)))))) (* -1/2 (* (cos phi1) (* (sin delta) (sin phi1))))))) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta))))
(+ (* -1/2 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(+ (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))) (* (pow theta 2) (+ (* -1/2 (* (cos phi1) (* (sin delta) (sin phi1)))) (* 1/24 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))))))
(+ (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))) (* (pow theta 2) (+ (* -1/2 (* (cos phi1) (* (sin delta) (sin phi1)))) (* (pow theta 2) (+ (* -1/720 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))) (* 1/24 (* (cos phi1) (* (sin delta) (sin phi1)))))))))

Calls

15 calls:

Time	Variable		Point	Expression
26.0ms	phi1	@	0	((+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (* (sin theta) (sin delta)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))
5.0ms	theta	@	-inf	((+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (* (sin theta) (sin delta)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))
4.0ms	phi1	@	inf	((+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (* (sin theta) (sin delta)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))
3.0ms	delta	@	inf	((+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (* (sin theta) (sin delta)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))
3.0ms	delta	@	-inf	((+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (* (sin theta) (sin delta)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))

simplify1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	egg-herbie

Counts

53 → 7

Calls

Call 1

Inputs
(atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta)))))))
(+ lambda1 (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))))
lambda1
(* lambda1 (+ 1 (/ (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))) lambda1)))
(* -1 (* lambda1 (- (* -1 (/ (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))) lambda1)) 1)))
(* (sin delta) (sin theta))
(+ (* -1/2 (* (pow phi1 2) (* (sin delta) (sin theta)))) (* (sin delta) (sin theta)))
(+ (* (sin delta) (sin theta)) (* (pow phi1 2) (+ (* -1/2 (* (sin delta) (sin theta))) (* 1/24 (* (pow phi1 2) (* (sin delta) (sin theta)))))))
(+ (* (sin delta) (sin theta)) (* (pow phi1 2) (+ (* -1/2 (* (sin delta) (sin theta))) (* (pow phi1 2) (+ (* -1/720 (* (pow phi1 2) (* (sin delta) (sin theta)))) (* 1/24 (* (sin delta) (sin theta))))))))
(cos delta)
(+ (cos delta) (* -1 (* phi1 (* (cos theta) (sin delta)))))
(+ (cos delta) (* phi1 (- (* -1 (* phi1 (cos delta))) (* (cos theta) (sin delta)))))
(+ (cos delta) (* phi1 (- (* phi1 (- (* -1 (* phi1 (+ (* -1/2 (* (cos theta) (sin delta))) (* -1/6 (* (cos theta) (sin delta)))))) (cos delta))) (* (cos theta) (sin delta)))))
(asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta)))))
(* phi1 (* (cos theta) (sin delta)))
(* phi1 (+ (* phi1 (cos delta)) (* (cos theta) (sin delta))))
(* phi1 (+ (* phi1 (+ (cos delta) (* phi1 (+ (* -1/2 (* (cos theta) (sin delta))) (* -1/6 (* (cos theta) (sin delta))))))) (* (cos theta) (sin delta))))
(* phi1 (+ (* phi1 (+ (cos delta) (* phi1 (+ (* -1/2 (* (cos theta) (sin delta))) (+ (* -1/3 (* phi1 (cos delta))) (* -1/6 (* (cos theta) (sin delta)))))))) (* (cos theta) (sin delta))))
(* (cos phi1) (* (sin delta) (sin theta)))
(- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))
(* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta)))))
(* delta (* (cos phi1) (sin theta)))
(* delta (+ (* -1/6 (* (pow delta 2) (* (cos phi1) (sin theta)))) (* (cos phi1) (sin theta))))
(* delta (+ (* (cos phi1) (sin theta)) (* (pow delta 2) (+ (* -1/6 (* (cos phi1) (sin theta))) (* 1/120 (* (pow delta 2) (* (cos phi1) (sin theta))))))))
(* delta (+ (* (cos phi1) (sin theta)) (* (pow delta 2) (+ (* -1/6 (* (cos phi1) (sin theta))) (* (pow delta 2) (+ (* -1/5040 (* (pow delta 2) (* (cos phi1) (sin theta)))) (* 1/120 (* (cos phi1) (sin theta)))))))))
(* delta (sin theta))
(* delta (+ (sin theta) (* -1/6 (* (pow delta 2) (sin theta)))))
(* delta (+ (sin theta) (* (pow delta 2) (+ (* -1/6 (sin theta)) (* 1/120 (* (pow delta 2) (sin theta)))))))
(* delta (+ (sin theta) (* (pow delta 2) (+ (* -1/6 (sin theta)) (* (pow delta 2) (+ (* -1/5040 (* (pow delta 2) (sin theta))) (* 1/120 (sin theta))))))))
(- 1 (pow (sin phi1) 2))
(- (+ 1 (* -1 (* delta (* (cos phi1) (* (cos theta) (sin phi1)))))) (pow (sin phi1) 2))
(- (+ 1 (* delta (- (* -1 (* delta (+ 1/2 (* -1/2 (pow (sin phi1) 2))))) (* (cos phi1) (* (cos theta) (sin phi1)))))) (pow (sin phi1) 2))
(- (+ 1 (* delta (- (* delta (- (* 1/6 (* delta (* (cos phi1) (* (cos theta) (sin phi1))))) (+ 1/2 (* -1/2 (pow (sin phi1) 2))))) (* (cos phi1) (* (cos theta) (sin phi1)))))) (pow (sin phi1) 2))
(pow (sin phi1) 2)
(+ (* delta (* (cos phi1) (* (cos theta) (sin phi1)))) (pow (sin phi1) 2))
(+ (* delta (+ (* -1/2 (* delta (pow (sin phi1) 2))) (* (cos phi1) (* (cos theta) (sin phi1))))) (pow (sin phi1) 2))
(+ (* delta (+ (* delta (+ (* -1/2 (pow (sin phi1) 2)) (* -1/6 (* delta (* (cos phi1) (* (cos theta) (sin phi1))))))) (* (cos phi1) (* (cos theta) (sin phi1))))) (pow (sin phi1) 2))
(* theta (* (cos phi1) (sin delta)))
(* theta (+ (* -1/6 (* (pow theta 2) (* (cos phi1) (sin delta)))) (* (cos phi1) (sin delta))))
(* theta (+ (* (cos phi1) (sin delta)) (* (pow theta 2) (+ (* -1/6 (* (cos phi1) (sin delta))) (* 1/120 (* (pow theta 2) (* (cos phi1) (sin delta))))))))
(* theta (+ (* (cos phi1) (sin delta)) (* (pow theta 2) (+ (* -1/6 (* (cos phi1) (sin delta))) (* (pow theta 2) (+ (* -1/5040 (* (pow theta 2) (* (cos phi1) (sin delta)))) (* 1/120 (* (cos phi1) (sin delta)))))))))
(* theta (sin delta))
(* theta (+ (sin delta) (* -1/6 (* (pow theta 2) (sin delta)))))
(* theta (+ (sin delta) (* (pow theta 2) (+ (* -1/6 (sin delta)) (* 1/120 (* (pow theta 2) (sin delta)))))))
(* theta (+ (sin delta) (* (pow theta 2) (+ (* -1/6 (sin delta)) (* (pow theta 2) (+ (* -1/5040 (* (pow theta 2) (sin delta))) (* 1/120 (sin delta))))))))
(- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(- (+ (cos delta) (* 1/2 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1)))))) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(- (+ (cos delta) (* (pow theta 2) (- (* -1/24 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))) (* -1/2 (* (cos phi1) (* (sin delta) (sin phi1))))))) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(- (+ (cos delta) (* (pow theta 2) (- (* (pow theta 2) (- (* 1/720 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))) (* 1/24 (* (cos phi1) (* (sin delta) (sin phi1)))))) (* -1/2 (* (cos phi1) (* (sin delta) (sin phi1))))))) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta))))
(+ (* -1/2 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(+ (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))) (* (pow theta 2) (+ (* -1/2 (* (cos phi1) (* (sin delta) (sin phi1)))) (* 1/24 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))))))
(+ (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))) (* (pow theta 2) (+ (* -1/2 (* (cos phi1) (* (sin delta) (sin phi1)))) (* (pow theta 2) (+ (* -1/720 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))) (* 1/24 (* (cos phi1) (* (sin delta) (sin phi1)))))))))

Outputs
(atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta)))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
(+ lambda1 (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))))
(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
lambda1
(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
(* lambda1 (+ 1 (/ (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))) lambda1)))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(* -1 (* lambda1 (- (* -1 (/ (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))) lambda1)) 1)))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(* (sin delta) (sin theta))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
(+ (* -1/2 (* (pow phi1 2) (* (sin delta) (sin theta)))) (* (sin delta) (sin theta)))
(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))

rewrite0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Counts

7 → 7

Calls

Call 1

Inputs
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))

Outputs
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))

eval4.0ms (0.1%)

Memory: -34.4MiB live, 3.0MiB allocated
Compiler: Compiled 602 to 52 computations (91.4% saved)

prune4.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	10	4	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	5	15

Accuracy

99.7%

Counts

15 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
▶	27.7%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
▶	4.0%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
▶	9.5%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)))
▶	8.2%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (*.f64 (sin.f64 theta) (sin.f64 delta)))

Compiler

Compiled 235 to 157 computations (33.2% saved)

simplify2.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 (sin.f64 theta) (sin.f64 delta))
cost-diff	0	(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
cost-diff	0	(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
cost-diff	0	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
cost-diff	0	(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
cost-diff	0	(cos.f64 delta)
cost-diff	0	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
cost-diff	0	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
cost-diff	0	(sin.f64 theta)
cost-diff	0	(*.f64 (sin.f64 theta) (sin.f64 delta))
cost-diff	0	(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
cost-diff	0	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)))
cost-diff	0	(sin.f64 delta)
cost-diff	0	(sin.f64 theta)
cost-diff	0	(*.f64 (sin.f64 theta) (sin.f64 delta))
cost-diff	0	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (*.f64 (sin.f64 theta) (sin.f64 delta)))

Calls

Call 1

Inputs
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (*.f64 (sin.f64 theta) (sin.f64 delta)))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(sin.f64 theta)
theta
(sin.f64 delta)
delta
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)))
(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(sin.f64 theta)
theta
(sin.f64 delta)
delta
(cos.f64 phi1)
phi1
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(cos.f64 delta)
delta
(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
(sin.f64 phi1)
phi1
(sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
(+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))
(*.f64 (sin.f64 phi1) (cos.f64 delta))
(.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))
(*.f64 (cos.f64 phi1) (sin.f64 delta))
(cos.f64 phi1)
(sin.f64 delta)
(cos.f64 theta)
theta
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(sin.f64 theta)
theta
(sin.f64 delta)
delta
(cos.f64 phi1)
phi1
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(cos.f64 delta)
(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
(sin.f64 phi1)
(sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
(+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))
(*.f64 (sin.f64 phi1) (cos.f64 delta))
(.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))
(*.f64 (cos.f64 phi1) (sin.f64 delta))
(cos.f64 theta)

Outputs
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (*.f64 (sin.f64 theta) (sin.f64 delta)))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(sin.f64 theta)
theta
(sin.f64 delta)
delta
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)))
(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(sin.f64 theta)
theta
(sin.f64 delta)
delta
(cos.f64 phi1)
phi1
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(cos.f64 delta)
delta
(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
(sin.f64 phi1)
phi1
(sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
(+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))
(*.f64 (sin.f64 phi1) (cos.f64 delta))
(.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))
(*.f64 (cos.f64 phi1) (sin.f64 delta))
(cos.f64 phi1)
(sin.f64 delta)
(cos.f64 theta)
theta
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(sin.f64 theta)
theta
(sin.f64 delta)
delta
(cos.f64 phi1)
phi1
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(cos.f64 delta)
(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
(sin.f64 phi1)
(sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
(+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))
(*.f64 (sin.f64 phi1) (cos.f64 delta))
(.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))
(*.f64 (cos.f64 phi1) (sin.f64 delta))
(cos.f64 theta)

localize120.0ms (2%)

Memory

23.8MiB live, 99.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.2578125	(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
accuracy	0.2769163937041713	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
accuracy	0.59442489438083	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
accuracy	46.108175710523014	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
accuracy	0.2578125	(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
accuracy	0.2769163937041713	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
accuracy	0.59442489438083	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
accuracy	61.4201904708681	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
accuracy	0.0	(cos.f64 phi1)
accuracy	0.171875	(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
accuracy	0.234375	(*.f64 (sin.f64 theta) (sin.f64 delta))
accuracy	57.90232271699774	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)))
accuracy	0.0	(sin.f64 theta)
accuracy	0.0	(sin.f64 delta)
accuracy	0.234375	(*.f64 (sin.f64 theta) (sin.f64 delta))
accuracy	58.76196291999107	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (*.f64 (sin.f64 theta) (sin.f64 delta)))

Samples

96.0ms

256×

valid

Compiler

Compiled 962 to 69 computations (92.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-sin: 41.0ms (54.4% of total)

ival-cos: 14.0ms (18.6% of total)

ival-mult: 10.0ms (13.3% of total)

ival-asin: 4.0ms (5.3% of total)

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

ival-atan2: 2.0ms (2.7% of total)

ival-sub: 1.0ms (1.3% of total)

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

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

series24.0ms (0.4%)

Memory

-10.0MiB live, 31.2MiB allocated

Counts

14 → 71

Calls

Call 1

Inputs
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (*.f64 (sin.f64 theta) (sin.f64 delta)))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(sin.f64 theta)
(sin.f64 delta)
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)))
(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(cos.f64 delta)
(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(cos.f64 phi1)
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

Outputs
(atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta)))))))
(+ lambda1 (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))))
lambda1
(* lambda1 (+ 1 (/ (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))) lambda1)))
(* -1 (* lambda1 (- (* -1 (/ (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))) lambda1)) 1)))
(* (sin delta) (sin theta))
(+ (* -1/2 (* (pow phi1 2) (* (sin delta) (sin theta)))) (* (sin delta) (sin theta)))
(+ (* (sin delta) (sin theta)) (* (pow phi1 2) (+ (* -1/2 (* (sin delta) (sin theta))) (* 1/24 (* (pow phi1 2) (* (sin delta) (sin theta)))))))
(+ (* (sin delta) (sin theta)) (* (pow phi1 2) (+ (* -1/2 (* (sin delta) (sin theta))) (* (pow phi1 2) (+ (* -1/720 (* (pow phi1 2) (* (sin delta) (sin theta)))) (* 1/24 (* (sin delta) (sin theta))))))))
(cos delta)
(+ (cos delta) (* -1 (* phi1 (* (cos theta) (sin delta)))))
(+ (cos delta) (* phi1 (- (* -1 (* phi1 (cos delta))) (* (cos theta) (sin delta)))))
(+ (cos delta) (* phi1 (- (* phi1 (- (* -1 (* phi1 (+ (* -1/2 (* (cos theta) (sin delta))) (* -1/6 (* (cos theta) (sin delta)))))) (cos delta))) (* (cos theta) (sin delta)))))
(* phi1 (* (cos theta) (sin delta)))
(* phi1 (+ (* phi1 (cos delta)) (* (cos theta) (sin delta))))
(* phi1 (+ (* phi1 (+ (cos delta) (* phi1 (+ (* -1/2 (* (cos theta) (sin delta))) (* -1/6 (* (cos theta) (sin delta))))))) (* (cos theta) (sin delta))))
(* phi1 (+ (* phi1 (+ (cos delta) (* phi1 (+ (* -1/2 (* (cos theta) (sin delta))) (+ (* -1/3 (* phi1 (cos delta))) (* -1/6 (* (cos theta) (sin delta)))))))) (* (cos theta) (sin delta))))
1
(+ 1 (* -1/2 (pow phi1 2)))
(+ 1 (* (pow phi1 2) (- (* 1/24 (pow phi1 2)) 1/2)))
(+ 1 (* (pow phi1 2) (- (* (pow phi1 2) (+ 1/24 (* -1/720 (pow phi1 2)))) 1/2)))
(asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta)))))
(* (cos phi1) (* (sin delta) (sin theta)))
(- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))
(* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta)))))
(cos phi1)
(* delta (sin theta))
(* delta (+ (sin theta) (* -1/6 (* (pow delta 2) (sin theta)))))
(* delta (+ (sin theta) (* (pow delta 2) (+ (* -1/6 (sin theta)) (* 1/120 (* (pow delta 2) (sin theta)))))))
(* delta (+ (sin theta) (* (pow delta 2) (+ (* -1/6 (sin theta)) (* (pow delta 2) (+ (* -1/5040 (* (pow delta 2) (sin theta))) (* 1/120 (sin theta))))))))
delta
(* delta (+ 1 (* -1/6 (pow delta 2))))
(* delta (+ 1 (* (pow delta 2) (- (* 1/120 (pow delta 2)) 1/6))))
(* delta (+ 1 (* (pow delta 2) (- (* (pow delta 2) (+ 1/120 (* -1/5040 (pow delta 2)))) 1/6))))
(* delta (* (cos phi1) (sin theta)))
(* delta (+ (* -1/6 (* (pow delta 2) (* (cos phi1) (sin theta)))) (* (cos phi1) (sin theta))))
(* delta (+ (* (cos phi1) (sin theta)) (* (pow delta 2) (+ (* -1/6 (* (cos phi1) (sin theta))) (* 1/120 (* (pow delta 2) (* (cos phi1) (sin theta))))))))
(* delta (+ (* (cos phi1) (sin theta)) (* (pow delta 2) (+ (* -1/6 (* (cos phi1) (sin theta))) (* (pow delta 2) (+ (* -1/5040 (* (pow delta 2) (* (cos phi1) (sin theta)))) (* 1/120 (* (cos phi1) (sin theta)))))))))
(- 1 (pow (sin phi1) 2))
(- (+ 1 (* -1 (* delta (* (cos phi1) (* (cos theta) (sin phi1)))))) (pow (sin phi1) 2))
(- (+ 1 (* delta (- (* -1 (* delta (+ 1/2 (* -1/2 (pow (sin phi1) 2))))) (* (cos phi1) (* (cos theta) (sin phi1)))))) (pow (sin phi1) 2))
(- (+ 1 (* delta (- (* delta (- (* 1/6 (* delta (* (cos phi1) (* (cos theta) (sin phi1))))) (+ 1/2 (* -1/2 (pow (sin phi1) 2))))) (* (cos phi1) (* (cos theta) (sin phi1)))))) (pow (sin phi1) 2))
(+ 1 (* -1/2 (pow delta 2)))
(+ 1 (* (pow delta 2) (- (* 1/24 (pow delta 2)) 1/2)))
(+ 1 (* (pow delta 2) (- (* (pow delta 2) (+ 1/24 (* -1/720 (pow delta 2)))) 1/2)))
(pow (sin phi1) 2)
(+ (* delta (* (cos phi1) (* (cos theta) (sin phi1)))) (pow (sin phi1) 2))
(+ (* delta (+ (* -1/2 (* delta (pow (sin phi1) 2))) (* (cos phi1) (* (cos theta) (sin phi1))))) (pow (sin phi1) 2))
(+ (* delta (+ (* delta (+ (* -1/2 (pow (sin phi1) 2)) (* -1/6 (* delta (* (cos phi1) (* (cos theta) (sin phi1))))))) (* (cos phi1) (* (cos theta) (sin phi1))))) (pow (sin phi1) 2))
(sin delta)
(* theta (sin delta))
(* theta (+ (sin delta) (* -1/6 (* (pow theta 2) (sin delta)))))
(* theta (+ (sin delta) (* (pow theta 2) (+ (* -1/6 (sin delta)) (* 1/120 (* (pow theta 2) (sin delta)))))))
(* theta (+ (sin delta) (* (pow theta 2) (+ (* -1/6 (sin delta)) (* (pow theta 2) (+ (* -1/5040 (* (pow theta 2) (sin delta))) (* 1/120 (sin delta))))))))
theta
(* theta (+ 1 (* -1/6 (pow theta 2))))
(* theta (+ 1 (* (pow theta 2) (- (* 1/120 (pow theta 2)) 1/6))))
(* theta (+ 1 (* (pow theta 2) (- (* (pow theta 2) (+ 1/120 (* -1/5040 (pow theta 2)))) 1/6))))
(* theta (* (cos phi1) (sin delta)))
(* theta (+ (* -1/6 (* (pow theta 2) (* (cos phi1) (sin delta)))) (* (cos phi1) (sin delta))))
(* theta (+ (* (cos phi1) (sin delta)) (* (pow theta 2) (+ (* -1/6 (* (cos phi1) (sin delta))) (* 1/120 (* (pow theta 2) (* (cos phi1) (sin delta))))))))
(* theta (+ (* (cos phi1) (sin delta)) (* (pow theta 2) (+ (* -1/6 (* (cos phi1) (sin delta))) (* (pow theta 2) (+ (* -1/5040 (* (pow theta 2) (* (cos phi1) (sin delta)))) (* 1/120 (* (cos phi1) (sin delta)))))))))
(- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(- (+ (cos delta) (* 1/2 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1)))))) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(- (+ (cos delta) (* (pow theta 2) (- (* -1/24 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))) (* -1/2 (* (cos phi1) (* (sin delta) (sin phi1))))))) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(- (+ (cos delta) (* (pow theta 2) (- (* (pow theta 2) (- (* 1/720 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))) (* 1/24 (* (cos phi1) (* (sin delta) (sin phi1)))))) (* -1/2 (* (cos phi1) (* (sin delta) (sin phi1))))))) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta))))
(+ (* -1/2 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(+ (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))) (* (pow theta 2) (+ (* -1/2 (* (cos phi1) (* (sin delta) (sin phi1)))) (* 1/24 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))))))
(+ (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))) (* (pow theta 2) (+ (* -1/2 (* (cos phi1) (* (sin delta) (sin phi1)))) (* (pow theta 2) (+ (* -1/720 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))) (* 1/24 (* (cos phi1) (* (sin delta) (sin phi1)))))))))
(sin theta)

Calls

15 calls:

Time	Variable		Point	Expression
5.0ms	phi1	@	-inf	((+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (* (sin theta) (sin delta)) (sin theta) (sin delta) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (cos phi1) (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))
2.0ms	delta	@	inf	((+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (* (sin theta) (sin delta)) (sin theta) (sin delta) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (cos phi1) (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))
2.0ms	phi1	@	inf	((+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (* (sin theta) (sin delta)) (sin theta) (sin delta) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (cos phi1) (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))
2.0ms	delta	@	-inf	((+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (* (sin theta) (sin delta)) (sin theta) (sin delta) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (cos phi1) (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))
2.0ms	theta	@	-inf	((+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (* (sin theta) (sin delta)) (sin theta) (sin delta) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (cos phi1) (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))

simplify1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	egg-herbie

Counts

71 → 14

Calls

Call 1

Inputs
(atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta)))))))
(+ lambda1 (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))))
lambda1
(* lambda1 (+ 1 (/ (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))) lambda1)))
(* -1 (* lambda1 (- (* -1 (/ (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))) lambda1)) 1)))
(* (sin delta) (sin theta))
(+ (* -1/2 (* (pow phi1 2) (* (sin delta) (sin theta)))) (* (sin delta) (sin theta)))
(+ (* (sin delta) (sin theta)) (* (pow phi1 2) (+ (* -1/2 (* (sin delta) (sin theta))) (* 1/24 (* (pow phi1 2) (* (sin delta) (sin theta)))))))
(+ (* (sin delta) (sin theta)) (* (pow phi1 2) (+ (* -1/2 (* (sin delta) (sin theta))) (* (pow phi1 2) (+ (* -1/720 (* (pow phi1 2) (* (sin delta) (sin theta)))) (* 1/24 (* (sin delta) (sin theta))))))))
(cos delta)
(+ (cos delta) (* -1 (* phi1 (* (cos theta) (sin delta)))))
(+ (cos delta) (* phi1 (- (* -1 (* phi1 (cos delta))) (* (cos theta) (sin delta)))))
(+ (cos delta) (* phi1 (- (* phi1 (- (* -1 (* phi1 (+ (* -1/2 (* (cos theta) (sin delta))) (* -1/6 (* (cos theta) (sin delta)))))) (cos delta))) (* (cos theta) (sin delta)))))
(* phi1 (* (cos theta) (sin delta)))
(* phi1 (+ (* phi1 (cos delta)) (* (cos theta) (sin delta))))
(* phi1 (+ (* phi1 (+ (cos delta) (* phi1 (+ (* -1/2 (* (cos theta) (sin delta))) (* -1/6 (* (cos theta) (sin delta))))))) (* (cos theta) (sin delta))))
(* phi1 (+ (* phi1 (+ (cos delta) (* phi1 (+ (* -1/2 (* (cos theta) (sin delta))) (+ (* -1/3 (* phi1 (cos delta))) (* -1/6 (* (cos theta) (sin delta)))))))) (* (cos theta) (sin delta))))
1
(+ 1 (* -1/2 (pow phi1 2)))
(+ 1 (* (pow phi1 2) (- (* 1/24 (pow phi1 2)) 1/2)))
(+ 1 (* (pow phi1 2) (- (* (pow phi1 2) (+ 1/24 (* -1/720 (pow phi1 2)))) 1/2)))
(asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta)))))
(* (cos phi1) (* (sin delta) (sin theta)))
(- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))
(* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta)))))
(cos phi1)
(* delta (sin theta))
(* delta (+ (sin theta) (* -1/6 (* (pow delta 2) (sin theta)))))
(* delta (+ (sin theta) (* (pow delta 2) (+ (* -1/6 (sin theta)) (* 1/120 (* (pow delta 2) (sin theta)))))))
(* delta (+ (sin theta) (* (pow delta 2) (+ (* -1/6 (sin theta)) (* (pow delta 2) (+ (* -1/5040 (* (pow delta 2) (sin theta))) (* 1/120 (sin theta))))))))
delta
(* delta (+ 1 (* -1/6 (pow delta 2))))
(* delta (+ 1 (* (pow delta 2) (- (* 1/120 (pow delta 2)) 1/6))))
(* delta (+ 1 (* (pow delta 2) (- (* (pow delta 2) (+ 1/120 (* -1/5040 (pow delta 2)))) 1/6))))
(* delta (* (cos phi1) (sin theta)))
(* delta (+ (* -1/6 (* (pow delta 2) (* (cos phi1) (sin theta)))) (* (cos phi1) (sin theta))))
(* delta (+ (* (cos phi1) (sin theta)) (* (pow delta 2) (+ (* -1/6 (* (cos phi1) (sin theta))) (* 1/120 (* (pow delta 2) (* (cos phi1) (sin theta))))))))
(* delta (+ (* (cos phi1) (sin theta)) (* (pow delta 2) (+ (* -1/6 (* (cos phi1) (sin theta))) (* (pow delta 2) (+ (* -1/5040 (* (pow delta 2) (* (cos phi1) (sin theta)))) (* 1/120 (* (cos phi1) (sin theta)))))))))
(- 1 (pow (sin phi1) 2))
(- (+ 1 (* -1 (* delta (* (cos phi1) (* (cos theta) (sin phi1)))))) (pow (sin phi1) 2))
(- (+ 1 (* delta (- (* -1 (* delta (+ 1/2 (* -1/2 (pow (sin phi1) 2))))) (* (cos phi1) (* (cos theta) (sin phi1)))))) (pow (sin phi1) 2))
(- (+ 1 (* delta (- (* delta (- (* 1/6 (* delta (* (cos phi1) (* (cos theta) (sin phi1))))) (+ 1/2 (* -1/2 (pow (sin phi1) 2))))) (* (cos phi1) (* (cos theta) (sin phi1)))))) (pow (sin phi1) 2))
(+ 1 (* -1/2 (pow delta 2)))
(+ 1 (* (pow delta 2) (- (* 1/24 (pow delta 2)) 1/2)))
(+ 1 (* (pow delta 2) (- (* (pow delta 2) (+ 1/24 (* -1/720 (pow delta 2)))) 1/2)))
(pow (sin phi1) 2)
(+ (* delta (* (cos phi1) (* (cos theta) (sin phi1)))) (pow (sin phi1) 2))
(+ (* delta (+ (* -1/2 (* delta (pow (sin phi1) 2))) (* (cos phi1) (* (cos theta) (sin phi1))))) (pow (sin phi1) 2))
(+ (* delta (+ (* delta (+ (* -1/2 (pow (sin phi1) 2)) (* -1/6 (* delta (* (cos phi1) (* (cos theta) (sin phi1))))))) (* (cos phi1) (* (cos theta) (sin phi1))))) (pow (sin phi1) 2))
(sin delta)
(* theta (sin delta))
(* theta (+ (sin delta) (* -1/6 (* (pow theta 2) (sin delta)))))
(* theta (+ (sin delta) (* (pow theta 2) (+ (* -1/6 (sin delta)) (* 1/120 (* (pow theta 2) (sin delta)))))))
(* theta (+ (sin delta) (* (pow theta 2) (+ (* -1/6 (sin delta)) (* (pow theta 2) (+ (* -1/5040 (* (pow theta 2) (sin delta))) (* 1/120 (sin delta))))))))
theta
(* theta (+ 1 (* -1/6 (pow theta 2))))
(* theta (+ 1 (* (pow theta 2) (- (* 1/120 (pow theta 2)) 1/6))))
(* theta (+ 1 (* (pow theta 2) (- (* (pow theta 2) (+ 1/120 (* -1/5040 (pow theta 2)))) 1/6))))
(* theta (* (cos phi1) (sin delta)))
(* theta (+ (* -1/6 (* (pow theta 2) (* (cos phi1) (sin delta)))) (* (cos phi1) (sin delta))))
(* theta (+ (* (cos phi1) (sin delta)) (* (pow theta 2) (+ (* -1/6 (* (cos phi1) (sin delta))) (* 1/120 (* (pow theta 2) (* (cos phi1) (sin delta))))))))
(* theta (+ (* (cos phi1) (sin delta)) (* (pow theta 2) (+ (* -1/6 (* (cos phi1) (sin delta))) (* (pow theta 2) (+ (* -1/5040 (* (pow theta 2) (* (cos phi1) (sin delta)))) (* 1/120 (* (cos phi1) (sin delta)))))))))
(- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(- (+ (cos delta) (* 1/2 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1)))))) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(- (+ (cos delta) (* (pow theta 2) (- (* -1/24 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))) (* -1/2 (* (cos phi1) (* (sin delta) (sin phi1))))))) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(- (+ (cos delta) (* (pow theta 2) (- (* (pow theta 2) (- (* 1/720 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))) (* 1/24 (* (cos phi1) (* (sin delta) (sin phi1)))))) (* -1/2 (* (cos phi1) (* (sin delta) (sin phi1))))))) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta))))
(+ (* -1/2 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(+ (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))) (* (pow theta 2) (+ (* -1/2 (* (cos phi1) (* (sin delta) (sin phi1)))) (* 1/24 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))))))
(+ (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))) (* (pow theta 2) (+ (* -1/2 (* (cos phi1) (* (sin delta) (sin phi1)))) (* (pow theta 2) (+ (* -1/720 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))) (* 1/24 (* (cos phi1) (* (sin delta) (sin phi1)))))))))
(sin theta)

Outputs
(atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta)))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (*.f64 (sin.f64 theta) (sin.f64 delta)))
(+ lambda1 (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))))
(*.f64 (sin.f64 theta) (sin.f64 delta))
lambda1
(sin.f64 theta)
(* lambda1 (+ 1 (/ (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))) lambda1)))
(sin.f64 delta)
(* -1 (* lambda1 (- (* -1 (/ (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))) lambda1)) 1)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)))
(* (sin delta) (sin theta))
(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
(+ (* -1/2 (* (pow phi1 2) (* (sin delta) (sin theta)))) (* (sin delta) (sin theta)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(+ (* (sin delta) (sin theta)) (* (pow phi1 2) (+ (* -1/2 (* (sin delta) (sin theta))) (* 1/24 (* (pow phi1 2) (* (sin delta) (sin theta)))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(+ (* (sin delta) (sin theta)) (* (pow phi1 2) (+ (* -1/2 (* (sin delta) (sin theta))) (* (pow phi1 2) (+ (* -1/720 (* (pow phi1 2) (* (sin delta) (sin theta)))) (* 1/24 (* (sin delta) (sin theta))))))))
(cos.f64 delta)
(cos delta)
(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
(+ (cos delta) (* -1 (* phi1 (* (cos theta) (sin delta)))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
(+ (cos delta) (* phi1 (- (* -1 (* phi1 (cos delta))) (* (cos theta) (sin delta)))))
(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(+ (cos delta) (* phi1 (- (* phi1 (- (* -1 (* phi1 (+ (* -1/2 (* (cos theta) (sin delta))) (* -1/6 (* (cos theta) (sin delta)))))) (cos delta))) (* (cos theta) (sin delta)))))
(cos.f64 phi1)
(* phi1 (* (cos theta) (sin delta)))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

rewrite1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Counts

14 → 14

Calls

Call 1

Inputs
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (*.f64 (sin.f64 theta) (sin.f64 delta)))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(sin.f64 theta)
(sin.f64 delta)
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)))
(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(cos.f64 delta)
(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(cos.f64 phi1)
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

Outputs
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (*.f64 (sin.f64 theta) (sin.f64 delta)))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(sin.f64 theta)
(sin.f64 delta)
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)))
(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(cos.f64 delta)
(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(cos.f64 phi1)
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

eval6.0ms (0.1%)

Memory: 8.3MiB live, 8.3MiB allocated
Compiler: Compiled 3 478 to 85 computations (97.6% saved)

prune35.0ms (0.6%)

Memory

-11.2MiB live, 27.3MiB allocated

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	44	10	54
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	44	15	59

Accuracy

99.7%

Counts

59 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
✓	27.7%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
▶	13.7%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
	7.6%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
▶	10.4%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
	4.4%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
✓	4.0%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
	4.0%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
✓	9.5%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)))
✓	8.2%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (*.f64 (sin.f64 theta) (sin.f64 delta)))
	4.6%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin.f64 theta))
▶	5.0%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin.f64 delta))
▶	3.9%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
	4.6%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
▶	4.2%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)))

Compiler

Compiled 1 487 to 809 computations (45.6% saved)

simplify2.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sin.f64 phi1)
cost-diff	0	(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
cost-diff	0	#s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
cost-diff	0	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
cost-diff	0	(*.f64 (sin.f64 theta) (sin.f64 delta))
cost-diff	0	(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
cost-diff	0	(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
cost-diff	0	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
cost-diff	0	(sin.f64 delta)
cost-diff	0	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin.f64 delta))
cost-diff	0	(cos.f64 delta)
cost-diff	0	#s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta))
cost-diff	0	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)))
cost-diff	0	(*.f64 (sin.f64 theta) (sin.f64 delta))
cost-diff	0	(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
cost-diff	0	(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
cost-diff	0	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))

Calls

Call 1

Inputs
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(sin.f64 theta)
theta
(sin.f64 delta)
delta
(cos.f64 phi1)
phi1
(-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
(cos.f64 delta)
#s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
(+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))
(*.f64 (sin.f64 phi1) (cos.f64 delta))
(sin.f64 phi1)
(.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))
(*.f64 (cos.f64 phi1) (sin.f64 delta))
(cos.f64 theta)
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)))
#s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta))
(cos.f64 delta)
delta
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin.f64 delta))
(sin.f64 delta)
delta
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(sin.f64 theta)
theta
(sin.f64 delta)
delta
(cos.f64 phi1)
phi1
#s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
(sin.f64 phi1)
phi1
(sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
(+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))
(*.f64 (sin.f64 phi1) (cos.f64 delta))
(cos.f64 delta)
delta
(.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))
(*.f64 (cos.f64 phi1) (sin.f64 delta))
(cos.f64 phi1)
(sin.f64 delta)
(cos.f64 theta)
theta

Outputs
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(sin.f64 theta)
theta
(sin.f64 delta)
delta
(cos.f64 phi1)
phi1
(-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
(cos.f64 delta)
#s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
(+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))
(*.f64 (sin.f64 phi1) (cos.f64 delta))
(sin.f64 phi1)
(.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))
(*.f64 (cos.f64 phi1) (sin.f64 delta))
(cos.f64 theta)
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)))
#s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta))
(cos.f64 delta)
delta
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin.f64 delta))
(sin.f64 delta)
delta
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(sin.f64 theta)
theta
(sin.f64 delta)
delta
(cos.f64 phi1)
phi1
#s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
(sin.f64 phi1)
phi1
(sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
(+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))
(*.f64 (sin.f64 phi1) (cos.f64 delta))
(cos.f64 delta)
delta
(.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))
(*.f64 (cos.f64 phi1) (sin.f64 delta))
(cos.f64 phi1)
(sin.f64 delta)
(cos.f64 theta)
theta

localize113.0ms (1.9%)

Memory

-9.2MiB live, 107.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.2578125	(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
accuracy	0.2769163937041713	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
accuracy	58.28794038804074	#s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
accuracy	61.4201904708681	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
accuracy	0.171875	(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
accuracy	0.234375	(*.f64 (sin.f64 theta) (sin.f64 delta))
accuracy	40.34418432153351	#s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))
accuracy	46.108175710523014	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
accuracy	0.0	(sin.f64 delta)
accuracy	60.82185392750527	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin.f64 delta))
accuracy	0.0	(cos.f64 delta)
accuracy	57.90232271699774	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)))
accuracy	60.8921915686203	#s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta))
accuracy	0.2769163937041713	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
accuracy	0.59442489438083	(-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
accuracy	46.108175710523014	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
accuracy	58.95496076821322	#s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))

Samples

79.0ms

256×

valid

Compiler

Compiled 1 256 to 75 computations (94% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-sin: 21.0ms (37.8% of total)

ival-cos: 15.0ms (27% of total)

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

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

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

ival-atan2: 2.0ms (3.6% of total)

ival-sub: 1.0ms (1.8% of total)

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

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

series23.0ms (0.4%)

Memory

30.3MiB live, 30.3MiB allocated

Counts

19 → 67

Calls

Call 1

Inputs
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
(*.f64 (sin.f64 theta) (sin.f64 delta))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)))
#s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta))
(cos.f64 delta)
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin.f64 delta))
(sin.f64 delta)
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
(sin.f64 phi1)
#s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
(-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
#s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))

Outputs
(atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta)))))))
(+ lambda1 (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))))
lambda1
(* lambda1 (+ 1 (/ (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))) lambda1)))
(* -1 (* lambda1 (- (* -1 (/ (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))) lambda1)) 1)))
(* (sin delta) (sin theta))
(+ (* -1/2 (* (pow phi1 2) (* (sin delta) (sin theta)))) (* (sin delta) (sin theta)))
(+ (* (sin delta) (sin theta)) (* (pow phi1 2) (+ (* -1/2 (* (sin delta) (sin theta))) (* 1/24 (* (pow phi1 2) (* (sin delta) (sin theta)))))))
(+ (* (sin delta) (sin theta)) (* (pow phi1 2) (+ (* -1/2 (* (sin delta) (sin theta))) (* (pow phi1 2) (+ (* -1/720 (* (pow phi1 2) (* (sin delta) (sin theta)))) (* 1/24 (* (sin delta) (sin theta))))))))
(cos delta)
(+ (cos delta) (* -1 (* phi1 (* (cos theta) (sin delta)))))
(+ (cos delta) (* phi1 (- (* -1 (* phi1 (cos delta))) (* (cos theta) (sin delta)))))
(+ (cos delta) (* phi1 (- (* phi1 (- (* -1 (* phi1 (+ (* -1/2 (* (cos theta) (sin delta))) (* -1/6 (* (cos theta) (sin delta)))))) (cos delta))) (* (cos theta) (sin delta)))))
(* phi1 (* (cos theta) (sin delta)))
(* phi1 (+ (* phi1 (cos delta)) (* (cos theta) (sin delta))))
(* phi1 (+ (* phi1 (+ (cos delta) (* phi1 (+ (* -1/2 (* (cos theta) (sin delta))) (* -1/6 (* (cos theta) (sin delta))))))) (* (cos theta) (sin delta))))
(* phi1 (+ (* phi1 (+ (cos delta) (* phi1 (+ (* -1/2 (* (cos theta) (sin delta))) (+ (* -1/3 (* phi1 (cos delta))) (* -1/6 (* (cos theta) (sin delta)))))))) (* (cos theta) (sin delta))))
phi1
(* phi1 (+ 1 (* -1/6 (pow phi1 2))))
(* phi1 (+ 1 (* (pow phi1 2) (- (* 1/120 (pow phi1 2)) 1/6))))
(* phi1 (+ 1 (* (pow phi1 2) (- (* (pow phi1 2) (+ 1/120 (* -1/5040 (pow phi1 2)))) 1/6))))
(asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta)))))
(* (cos phi1) (* (sin delta) (sin theta)))
(- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))
(* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta)))))
(sin phi1)
(* delta (* (cos phi1) (sin theta)))
(* delta (+ (* -1/6 (* (pow delta 2) (* (cos phi1) (sin theta)))) (* (cos phi1) (sin theta))))
(* delta (+ (* (cos phi1) (sin theta)) (* (pow delta 2) (+ (* -1/6 (* (cos phi1) (sin theta))) (* 1/120 (* (pow delta 2) (* (cos phi1) (sin theta))))))))
(* delta (+ (* (cos phi1) (sin theta)) (* (pow delta 2) (+ (* -1/6 (* (cos phi1) (sin theta))) (* (pow delta 2) (+ (* -1/5040 (* (pow delta 2) (* (cos phi1) (sin theta)))) (* 1/120 (* (cos phi1) (sin theta)))))))))
(* delta (sin theta))
(* delta (+ (sin theta) (* -1/6 (* (pow delta 2) (sin theta)))))
(* delta (+ (sin theta) (* (pow delta 2) (+ (* -1/6 (sin theta)) (* 1/120 (* (pow delta 2) (sin theta)))))))
(* delta (+ (sin theta) (* (pow delta 2) (+ (* -1/6 (sin theta)) (* (pow delta 2) (+ (* -1/5040 (* (pow delta 2) (sin theta))) (* 1/120 (sin theta))))))))
1
(+ 1 (* -1/2 (pow delta 2)))
(+ 1 (* (pow delta 2) (- (* 1/24 (pow delta 2)) 1/2)))
(+ 1 (* (pow delta 2) (- (* (pow delta 2) (+ 1/24 (* -1/720 (pow delta 2)))) 1/2)))
delta
(* delta (+ 1 (* -1/6 (pow delta 2))))
(* delta (+ 1 (* (pow delta 2) (- (* 1/120 (pow delta 2)) 1/6))))
(* delta (+ 1 (* (pow delta 2) (- (* (pow delta 2) (+ 1/120 (* -1/5040 (pow delta 2)))) 1/6))))
(- 1 (pow (sin phi1) 2))
(- (+ 1 (* -1 (* delta (* (cos phi1) (* (cos theta) (sin phi1)))))) (pow (sin phi1) 2))
(- (+ 1 (* delta (- (* -1 (* delta (+ 1/2 (* -1/2 (pow (sin phi1) 2))))) (* (cos phi1) (* (cos theta) (sin phi1)))))) (pow (sin phi1) 2))
(- (+ 1 (* delta (- (* delta (- (* 1/6 (* delta (* (cos phi1) (* (cos theta) (sin phi1))))) (+ 1/2 (* -1/2 (pow (sin phi1) 2))))) (* (cos phi1) (* (cos theta) (sin phi1)))))) (pow (sin phi1) 2))
(pow (sin phi1) 2)
(+ (* delta (* (cos phi1) (* (cos theta) (sin phi1)))) (pow (sin phi1) 2))
(+ (* delta (+ (* -1/2 (* delta (pow (sin phi1) 2))) (* (cos phi1) (* (cos theta) (sin phi1))))) (pow (sin phi1) 2))
(+ (* delta (+ (* delta (+ (* -1/2 (pow (sin phi1) 2)) (* -1/6 (* delta (* (cos phi1) (* (cos theta) (sin phi1))))))) (* (cos phi1) (* (cos theta) (sin phi1))))) (pow (sin phi1) 2))
(sin delta)
(* theta (* (cos phi1) (sin delta)))
(* theta (+ (* -1/6 (* (pow theta 2) (* (cos phi1) (sin delta)))) (* (cos phi1) (sin delta))))
(* theta (+ (* (cos phi1) (sin delta)) (* (pow theta 2) (+ (* -1/6 (* (cos phi1) (sin delta))) (* 1/120 (* (pow theta 2) (* (cos phi1) (sin delta))))))))
(* theta (+ (* (cos phi1) (sin delta)) (* (pow theta 2) (+ (* -1/6 (* (cos phi1) (sin delta))) (* (pow theta 2) (+ (* -1/5040 (* (pow theta 2) (* (cos phi1) (sin delta)))) (* 1/120 (* (cos phi1) (sin delta)))))))))
(* theta (sin delta))
(* theta (+ (sin delta) (* -1/6 (* (pow theta 2) (sin delta)))))
(* theta (+ (sin delta) (* (pow theta 2) (+ (* -1/6 (sin delta)) (* 1/120 (* (pow theta 2) (sin delta)))))))
(* theta (+ (sin delta) (* (pow theta 2) (+ (* -1/6 (sin delta)) (* (pow theta 2) (+ (* -1/5040 (* (pow theta 2) (sin delta))) (* 1/120 (sin delta))))))))
(- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(- (+ (cos delta) (* 1/2 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1)))))) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(- (+ (cos delta) (* (pow theta 2) (- (* -1/24 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))) (* -1/2 (* (cos phi1) (* (sin delta) (sin phi1))))))) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(- (+ (cos delta) (* (pow theta 2) (- (* (pow theta 2) (- (* 1/720 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))) (* 1/24 (* (cos phi1) (* (sin delta) (sin phi1)))))) (* -1/2 (* (cos phi1) (* (sin delta) (sin phi1))))))) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta))))
(+ (* -1/2 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(+ (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))) (* (pow theta 2) (+ (* -1/2 (* (cos phi1) (* (sin delta) (sin phi1)))) (* 1/24 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))))))
(+ (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))) (* (pow theta 2) (+ (* -1/2 (* (cos phi1) (* (sin delta) (sin phi1)))) (* (pow theta 2) (+ (* -1/720 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))) (* 1/24 (* (cos phi1) (* (sin delta) (sin phi1)))))))))

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	phi1	@	inf	((+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (* (sin theta) (sin delta)) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (cos delta) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin delta) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin phi1) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))
2.0ms	delta	@	-inf	((+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (* (sin theta) (sin delta)) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (cos delta) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin delta) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin phi1) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))
2.0ms	delta	@	inf	((+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (* (sin theta) (sin delta)) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (cos delta) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin delta) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin phi1) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))
2.0ms	phi1	@	-inf	((+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (* (sin theta) (sin delta)) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (cos delta) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin delta) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin phi1) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))
2.0ms	theta	@	inf	((+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (* (sin theta) (sin delta)) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (cos delta) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin delta) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin phi1) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))

simplify17.0ms (0.3%)

Memory

-36.1MiB live, 2.2MiB allocated

Algorithm

1×	egg-herbie

Counts

67 → 19

Calls

Call 1

Inputs
(atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta)))))))
(+ lambda1 (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))))
lambda1
(* lambda1 (+ 1 (/ (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))) lambda1)))
(* -1 (* lambda1 (- (* -1 (/ (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))) lambda1)) 1)))
(* (sin delta) (sin theta))
(+ (* -1/2 (* (pow phi1 2) (* (sin delta) (sin theta)))) (* (sin delta) (sin theta)))
(+ (* (sin delta) (sin theta)) (* (pow phi1 2) (+ (* -1/2 (* (sin delta) (sin theta))) (* 1/24 (* (pow phi1 2) (* (sin delta) (sin theta)))))))
(+ (* (sin delta) (sin theta)) (* (pow phi1 2) (+ (* -1/2 (* (sin delta) (sin theta))) (* (pow phi1 2) (+ (* -1/720 (* (pow phi1 2) (* (sin delta) (sin theta)))) (* 1/24 (* (sin delta) (sin theta))))))))
(cos delta)
(+ (cos delta) (* -1 (* phi1 (* (cos theta) (sin delta)))))
(+ (cos delta) (* phi1 (- (* -1 (* phi1 (cos delta))) (* (cos theta) (sin delta)))))
(+ (cos delta) (* phi1 (- (* phi1 (- (* -1 (* phi1 (+ (* -1/2 (* (cos theta) (sin delta))) (* -1/6 (* (cos theta) (sin delta)))))) (cos delta))) (* (cos theta) (sin delta)))))
(* phi1 (* (cos theta) (sin delta)))
(* phi1 (+ (* phi1 (cos delta)) (* (cos theta) (sin delta))))
(* phi1 (+ (* phi1 (+ (cos delta) (* phi1 (+ (* -1/2 (* (cos theta) (sin delta))) (* -1/6 (* (cos theta) (sin delta))))))) (* (cos theta) (sin delta))))
(* phi1 (+ (* phi1 (+ (cos delta) (* phi1 (+ (* -1/2 (* (cos theta) (sin delta))) (+ (* -1/3 (* phi1 (cos delta))) (* -1/6 (* (cos theta) (sin delta)))))))) (* (cos theta) (sin delta))))
phi1
(* phi1 (+ 1 (* -1/6 (pow phi1 2))))
(* phi1 (+ 1 (* (pow phi1 2) (- (* 1/120 (pow phi1 2)) 1/6))))
(* phi1 (+ 1 (* (pow phi1 2) (- (* (pow phi1 2) (+ 1/120 (* -1/5040 (pow phi1 2)))) 1/6))))
(asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta)))))
(* (cos phi1) (* (sin delta) (sin theta)))
(- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))
(* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta)))))
(sin phi1)
(* delta (* (cos phi1) (sin theta)))
(* delta (+ (* -1/6 (* (pow delta 2) (* (cos phi1) (sin theta)))) (* (cos phi1) (sin theta))))
(* delta (+ (* (cos phi1) (sin theta)) (* (pow delta 2) (+ (* -1/6 (* (cos phi1) (sin theta))) (* 1/120 (* (pow delta 2) (* (cos phi1) (sin theta))))))))
(* delta (+ (* (cos phi1) (sin theta)) (* (pow delta 2) (+ (* -1/6 (* (cos phi1) (sin theta))) (* (pow delta 2) (+ (* -1/5040 (* (pow delta 2) (* (cos phi1) (sin theta)))) (* 1/120 (* (cos phi1) (sin theta)))))))))
(* delta (sin theta))
(* delta (+ (sin theta) (* -1/6 (* (pow delta 2) (sin theta)))))
(* delta (+ (sin theta) (* (pow delta 2) (+ (* -1/6 (sin theta)) (* 1/120 (* (pow delta 2) (sin theta)))))))
(* delta (+ (sin theta) (* (pow delta 2) (+ (* -1/6 (sin theta)) (* (pow delta 2) (+ (* -1/5040 (* (pow delta 2) (sin theta))) (* 1/120 (sin theta))))))))
1
(+ 1 (* -1/2 (pow delta 2)))
(+ 1 (* (pow delta 2) (- (* 1/24 (pow delta 2)) 1/2)))
(+ 1 (* (pow delta 2) (- (* (pow delta 2) (+ 1/24 (* -1/720 (pow delta 2)))) 1/2)))
delta
(* delta (+ 1 (* -1/6 (pow delta 2))))
(* delta (+ 1 (* (pow delta 2) (- (* 1/120 (pow delta 2)) 1/6))))
(* delta (+ 1 (* (pow delta 2) (- (* (pow delta 2) (+ 1/120 (* -1/5040 (pow delta 2)))) 1/6))))
(- 1 (pow (sin phi1) 2))
(- (+ 1 (* -1 (* delta (* (cos phi1) (* (cos theta) (sin phi1)))))) (pow (sin phi1) 2))
(- (+ 1 (* delta (- (* -1 (* delta (+ 1/2 (* -1/2 (pow (sin phi1) 2))))) (* (cos phi1) (* (cos theta) (sin phi1)))))) (pow (sin phi1) 2))
(- (+ 1 (* delta (- (* delta (- (* 1/6 (* delta (* (cos phi1) (* (cos theta) (sin phi1))))) (+ 1/2 (* -1/2 (pow (sin phi1) 2))))) (* (cos phi1) (* (cos theta) (sin phi1)))))) (pow (sin phi1) 2))
(pow (sin phi1) 2)
(+ (* delta (* (cos phi1) (* (cos theta) (sin phi1)))) (pow (sin phi1) 2))
(+ (* delta (+ (* -1/2 (* delta (pow (sin phi1) 2))) (* (cos phi1) (* (cos theta) (sin phi1))))) (pow (sin phi1) 2))
(+ (* delta (+ (* delta (+ (* -1/2 (pow (sin phi1) 2)) (* -1/6 (* delta (* (cos phi1) (* (cos theta) (sin phi1))))))) (* (cos phi1) (* (cos theta) (sin phi1))))) (pow (sin phi1) 2))
(sin delta)
(* theta (* (cos phi1) (sin delta)))
(* theta (+ (* -1/6 (* (pow theta 2) (* (cos phi1) (sin delta)))) (* (cos phi1) (sin delta))))
(* theta (+ (* (cos phi1) (sin delta)) (* (pow theta 2) (+ (* -1/6 (* (cos phi1) (sin delta))) (* 1/120 (* (pow theta 2) (* (cos phi1) (sin delta))))))))
(* theta (+ (* (cos phi1) (sin delta)) (* (pow theta 2) (+ (* -1/6 (* (cos phi1) (sin delta))) (* (pow theta 2) (+ (* -1/5040 (* (pow theta 2) (* (cos phi1) (sin delta)))) (* 1/120 (* (cos phi1) (sin delta)))))))))
(* theta (sin delta))
(* theta (+ (sin delta) (* -1/6 (* (pow theta 2) (sin delta)))))
(* theta (+ (sin delta) (* (pow theta 2) (+ (* -1/6 (sin delta)) (* 1/120 (* (pow theta 2) (sin delta)))))))
(* theta (+ (sin delta) (* (pow theta 2) (+ (* -1/6 (sin delta)) (* (pow theta 2) (+ (* -1/5040 (* (pow theta 2) (sin delta))) (* 1/120 (sin delta))))))))
(- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(- (+ (cos delta) (* 1/2 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1)))))) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(- (+ (cos delta) (* (pow theta 2) (- (* -1/24 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))) (* -1/2 (* (cos phi1) (* (sin delta) (sin phi1))))))) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(- (+ (cos delta) (* (pow theta 2) (- (* (pow theta 2) (- (* 1/720 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))) (* 1/24 (* (cos phi1) (* (sin delta) (sin phi1)))))) (* -1/2 (* (cos phi1) (* (sin delta) (sin phi1))))))) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta))))
(+ (* -1/2 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(+ (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))) (* (pow theta 2) (+ (* -1/2 (* (cos phi1) (* (sin delta) (sin phi1)))) (* 1/24 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))))))
(+ (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))) (* (pow theta 2) (+ (* -1/2 (* (cos phi1) (* (sin delta) (sin phi1)))) (* (pow theta 2) (+ (* -1/720 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))) (* 1/24 (* (cos phi1) (* (sin delta) (sin phi1)))))))))

Outputs
(atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta)))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(+ lambda1 (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))))
(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
lambda1
(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
(* lambda1 (+ 1 (/ (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))) lambda1)))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(* -1 (* lambda1 (- (* -1 (/ (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))) lambda1)) 1)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)))
(* (sin delta) (sin theta))
#s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta))
(+ (* -1/2 (* (pow phi1 2) (* (sin delta) (sin theta)))) (* (sin delta) (sin theta)))
(cos.f64 delta)
(+ (* (sin delta) (sin theta)) (* (pow phi1 2) (+ (* -1/2 (* (sin delta) (sin theta))) (* 1/24 (* (pow phi1 2) (* (sin delta) (sin theta)))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin.f64 delta))
(+ (* (sin delta) (sin theta)) (* (pow phi1 2) (+ (* -1/2 (* (sin delta) (sin theta))) (* (pow phi1 2) (+ (* -1/720 (* (pow phi1 2) (* (sin delta) (sin theta)))) (* 1/24 (* (sin delta) (sin theta))))))))
(sin.f64 delta)
(cos delta)
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
(+ (cos delta) (* -1 (* phi1 (* (cos theta) (sin delta)))))
(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
(+ (cos delta) (* phi1 (- (* -1 (* phi1 (cos delta))) (* (cos theta) (sin delta)))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(+ (cos delta) (* phi1 (- (* phi1 (- (* -1 (* phi1 (+ (* -1/2 (* (cos theta) (sin delta))) (* -1/6 (* (cos theta) (sin delta)))))) (cos delta))) (* (cos theta) (sin delta)))))
#s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(* phi1 (* (cos theta) (sin delta)))
(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
(* phi1 (+ (* phi1 (cos delta)) (* (cos theta) (sin delta))))
(sin.f64 phi1)
(* phi1 (+ (* phi1 (+ (cos delta) (* phi1 (+ (* -1/2 (* (cos theta) (sin delta))) (* -1/6 (* (cos theta) (sin delta))))))) (* (cos theta) (sin delta))))
#s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
(* phi1 (+ (* phi1 (+ (cos delta) (* phi1 (+ (* -1/2 (* (cos theta) (sin delta))) (+ (* -1/3 (* phi1 (cos delta))) (* -1/6 (* (cos theta) (sin delta)))))))) (* (cos theta) (sin delta))))
(-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
phi1
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
(* phi1 (+ 1 (* -1/6 (pow phi1 2))))
#s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))

rewrite1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

19 → 19

Calls

Call 1

Inputs
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
(*.f64 (sin.f64 theta) (sin.f64 delta))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)))
#s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta))
(cos.f64 delta)
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin.f64 delta))
(sin.f64 delta)
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
(sin.f64 phi1)
#s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
(-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
#s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))

Outputs
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
(*.f64 (sin.f64 theta) (sin.f64 delta))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)))
#s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta))
(cos.f64 delta)
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin.f64 delta))
(sin.f64 delta)
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
(sin.f64 phi1)
#s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
(-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
#s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))

eval7.0ms (0.1%)

Memory: 11.0MiB live, 11.0MiB allocated
Compiler: Compiled 4 573 to 123 computations (97.3% saved)

prune30.0ms (0.5%)

Memory

-6.3MiB live, 32.4MiB allocated

Pruning

23 alts after pruning (13 fresh and 10 done)

	Pruned	Kept	Total
New	48	8	56
Fresh	0	5	5
Picked	0	5	5
Done	0	5	5
Total	48	23	71

Accuracy

99.7%

Counts

71 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
✓	27.7%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
✓	13.7%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
▶	9.3%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
	7.6%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
✓	10.4%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
▶	5.0%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
	4.9%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
	4.4%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
	4.4%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
▶	4.3%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
✓	4.0%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
▶	4.0%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
✓	9.5%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)))
✓	8.2%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (*.f64 (sin.f64 theta) (sin.f64 delta)))
	4.6%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin.f64 theta))
✓	5.0%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin.f64 delta))
✓	3.9%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
	3.7%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
	4.6%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
▶	4.1%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1))))
	4.9%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
✓	4.2%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)))

Compiler

Compiled 2 601 to 1 206 computations (53.6% saved)

simplify3.0ms (0.1%)

Memory

3.6MiB live, 3.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sin.f64 delta)
cost-diff	0	#s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta))
cost-diff	0	(atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
cost-diff	0	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
cost-diff	0	#s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
cost-diff	0	(cos.f64 delta)
cost-diff	0	(-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
cost-diff	0	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
cost-diff	0	(cos.f64 delta)
cost-diff	0	#s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta))
cost-diff	0	(atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
cost-diff	0	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
cost-diff	0	(sin.f64 phi1)
cost-diff	0	#s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1))
cost-diff	0	#s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1)))
cost-diff	0	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1))))
cost-diff	0	(*.f64 (sin.f64 theta) (sin.f64 delta))
cost-diff	0	(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
cost-diff	0	(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
cost-diff	0	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))

Calls

Call 1

Inputs
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(sin.f64 theta)
theta
(sin.f64 delta)
delta
(cos.f64 phi1)
phi1
(-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
(cos.f64 delta)
#s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
(+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))
(.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta))
#s(approx (sin phi1) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
#s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))
(.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))
(*.f64 (cos.f64 phi1) (sin.f64 delta))
(cos.f64 theta)
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1))))
#s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1)))
#s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1))
(sin.f64 phi1)
phi1
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
(atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
#s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta))
(cos.f64 delta)
delta
#s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))
(cos.f64 phi1)
phi1
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
(cos.f64 delta)
delta
#s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
(+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))
(*.f64 (sin.f64 phi1) (cos.f64 delta))
(sin.f64 phi1)
phi1
(.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))
(*.f64 (cos.f64 phi1) (sin.f64 delta))
(cos.f64 phi1)
(sin.f64 delta)
(cos.f64 theta)
theta
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
#s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta))
(sin.f64 delta)
delta
(-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
(cos.f64 delta)
#s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
(+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))
(*.f64 (sin.f64 phi1) (cos.f64 delta))
(sin.f64 phi1)
phi1
(.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))
(*.f64 (cos.f64 phi1) (sin.f64 delta))
(cos.f64 phi1)
(cos.f64 theta)
theta

Outputs
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(sin.f64 theta)
theta
(sin.f64 delta)
delta
(cos.f64 phi1)
phi1
(-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
(cos.f64 delta)
#s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
(+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))
(.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta))
#s(approx (sin phi1) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
#s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))
(.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))
(*.f64 (cos.f64 phi1) (sin.f64 delta))
(cos.f64 theta)
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1))))
#s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1)))
#s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1))
(sin.f64 phi1)
phi1
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
(atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
#s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta))
(cos.f64 delta)
delta
#s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))
(cos.f64 phi1)
phi1
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
(cos.f64 delta)
delta
#s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
(+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))
(*.f64 (sin.f64 phi1) (cos.f64 delta))
(sin.f64 phi1)
phi1
(.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))
(*.f64 (cos.f64 phi1) (sin.f64 delta))
(cos.f64 phi1)
(sin.f64 delta)
(cos.f64 theta)
theta
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
#s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta))
(sin.f64 delta)
delta
(-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
(cos.f64 delta)
#s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
(+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))
(*.f64 (sin.f64 phi1) (cos.f64 delta))
(sin.f64 phi1)
phi1
(.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))
(*.f64 (cos.f64 phi1) (sin.f64 delta))
(cos.f64 phi1)
(cos.f64 theta)
theta

localize143.0ms (2.4%)

Memory

-1.8MiB live, 113.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.59442489438083	(-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
accuracy	46.108175710523014	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
accuracy	58.60727291352462	#s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta))
accuracy	58.95496076821322	#s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
accuracy	0.2769163937041713	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
accuracy	0.59442489438083	(-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
accuracy	58.95496076821322	#s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
accuracy	61.4201904708681	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
accuracy	0.1484375	(atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
accuracy	40.34418432153351	#s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))
accuracy	46.108175710523014	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
accuracy	60.8921915686203	#s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta))
accuracy	0.0	(sin.f64 phi1)
accuracy	57.12615936451133	#s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1))
accuracy	58.28794038804074	#s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1)))
accuracy	61.4201904708681	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1))))
accuracy	40.34418432153351	#s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))
accuracy	46.108175710523014	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
accuracy	58.95496076821322	#s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
accuracy	59.654540623173084	#s(approx (sin phi1) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))

Samples

93.0ms

256×

valid

Compiler

Compiled 1 979 to 82 computations (95.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-cos: 29.0ms (41.9% of total)

ival-sin: 20.0ms (28.9% of total)

ival-mult: 10.0ms (14.5% of total)

ival-asin: 4.0ms (5.8% of total)

ival-add: 2.0ms (2.9% of total)

ival-atan2: 2.0ms (2.9% of total)

ival-sub: 1.0ms (1.4% of total)

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

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

series27.0ms (0.4%)

Memory

-2.0MiB live, 36.2MiB allocated

Counts

23 → 67

Calls

Call 1

Inputs
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
(*.f64 (sin.f64 theta) (sin.f64 delta))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1))))
#s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1)))
#s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1))
(sin.f64 phi1)
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
(atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
#s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta))
(cos.f64 delta)
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
#s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
#s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta))
(sin.f64 delta)
#s(approx (sin phi1) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
#s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
#s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

Outputs
(atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta)))))))
(+ lambda1 (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))))
lambda1
(* lambda1 (+ 1 (/ (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))) lambda1)))
(* -1 (* lambda1 (- (* -1 (/ (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))) lambda1)) 1)))
(* (sin delta) (sin theta))
(+ (* -1/2 (* (pow phi1 2) (* (sin delta) (sin theta)))) (* (sin delta) (sin theta)))
(+ (* (sin delta) (sin theta)) (* (pow phi1 2) (+ (* -1/2 (* (sin delta) (sin theta))) (* 1/24 (* (pow phi1 2) (* (sin delta) (sin theta)))))))
(+ (* (sin delta) (sin theta)) (* (pow phi1 2) (+ (* -1/2 (* (sin delta) (sin theta))) (* (pow phi1 2) (+ (* -1/720 (* (pow phi1 2) (* (sin delta) (sin theta)))) (* 1/24 (* (sin delta) (sin theta))))))))
(cos delta)
(+ (cos delta) (* -1 (* phi1 (* (cos theta) (sin delta)))))
(+ (cos delta) (* phi1 (- (* -1 (* phi1 (cos delta))) (* (cos theta) (sin delta)))))
(+ (cos delta) (* phi1 (- (* phi1 (- (* -1 (* phi1 (+ (* -1/2 (* (cos theta) (sin delta))) (* -1/6 (* (cos theta) (sin delta)))))) (cos delta))) (* (cos theta) (sin delta)))))
(* phi1 (* (cos theta) (sin delta)))
(* phi1 (+ (* phi1 (cos delta)) (* (cos theta) (sin delta))))
(* phi1 (+ (* phi1 (+ (cos delta) (* phi1 (+ (* -1/2 (* (cos theta) (sin delta))) (* -1/6 (* (cos theta) (sin delta))))))) (* (cos theta) (sin delta))))
(* phi1 (+ (* phi1 (+ (cos delta) (* phi1 (+ (* -1/2 (* (cos theta) (sin delta))) (+ (* -1/3 (* phi1 (cos delta))) (* -1/6 (* (cos theta) (sin delta)))))))) (* (cos theta) (sin delta))))
phi1
(* phi1 (+ 1 (* -1/6 (pow phi1 2))))
(* phi1 (+ 1 (* (pow phi1 2) (- (* 1/120 (pow phi1 2)) 1/6))))
(* phi1 (+ 1 (* (pow phi1 2) (- (* (pow phi1 2) (+ 1/120 (* -1/5040 (pow phi1 2)))) 1/6))))
(asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta)))))
(* (cos phi1) (* (sin delta) (sin theta)))
(- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))
(* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta)))))
(sin phi1)
(* delta (* (cos phi1) (sin theta)))
(* delta (+ (* -1/6 (* (pow delta 2) (* (cos phi1) (sin theta)))) (* (cos phi1) (sin theta))))
(* delta (+ (* (cos phi1) (sin theta)) (* (pow delta 2) (+ (* -1/6 (* (cos phi1) (sin theta))) (* 1/120 (* (pow delta 2) (* (cos phi1) (sin theta))))))))
(* delta (+ (* (cos phi1) (sin theta)) (* (pow delta 2) (+ (* -1/6 (* (cos phi1) (sin theta))) (* (pow delta 2) (+ (* -1/5040 (* (pow delta 2) (* (cos phi1) (sin theta)))) (* 1/120 (* (cos phi1) (sin theta)))))))))
(* delta (sin theta))
(* delta (+ (sin theta) (* -1/6 (* (pow delta 2) (sin theta)))))
(* delta (+ (sin theta) (* (pow delta 2) (+ (* -1/6 (sin theta)) (* 1/120 (* (pow delta 2) (sin theta)))))))
(* delta (+ (sin theta) (* (pow delta 2) (+ (* -1/6 (sin theta)) (* (pow delta 2) (+ (* -1/5040 (* (pow delta 2) (sin theta))) (* 1/120 (sin theta))))))))
(- 1 (pow (sin phi1) 2))
(- (+ 1 (* -1 (* delta (* (cos phi1) (* (cos theta) (sin phi1)))))) (pow (sin phi1) 2))
(- (+ 1 (* delta (- (* -1 (* delta (+ 1/2 (* -1/2 (pow (sin phi1) 2))))) (* (cos phi1) (* (cos theta) (sin phi1)))))) (pow (sin phi1) 2))
(- (+ 1 (* delta (- (* delta (- (* 1/6 (* delta (* (cos phi1) (* (cos theta) (sin phi1))))) (+ 1/2 (* -1/2 (pow (sin phi1) 2))))) (* (cos phi1) (* (cos theta) (sin phi1)))))) (pow (sin phi1) 2))
(pow (sin phi1) 2)
(+ (* delta (* (cos phi1) (* (cos theta) (sin phi1)))) (pow (sin phi1) 2))
(+ (* delta (+ (* -1/2 (* delta (pow (sin phi1) 2))) (* (cos phi1) (* (cos theta) (sin phi1))))) (pow (sin phi1) 2))
(+ (* delta (+ (* delta (+ (* -1/2 (pow (sin phi1) 2)) (* -1/6 (* delta (* (cos phi1) (* (cos theta) (sin phi1))))))) (* (cos phi1) (* (cos theta) (sin phi1))))) (pow (sin phi1) 2))
1
(+ 1 (* -1/2 (pow delta 2)))
(+ 1 (* (pow delta 2) (- (* 1/24 (pow delta 2)) 1/2)))
(+ 1 (* (pow delta 2) (- (* (pow delta 2) (+ 1/24 (* -1/720 (pow delta 2)))) 1/2)))
delta
(* delta (+ 1 (* -1/6 (pow delta 2))))
(* delta (+ 1 (* (pow delta 2) (- (* 1/120 (pow delta 2)) 1/6))))
(* delta (+ 1 (* (pow delta 2) (- (* (pow delta 2) (+ 1/120 (* -1/5040 (pow delta 2)))) 1/6))))
(sin delta)
(* theta (* (cos phi1) (sin delta)))
(* theta (+ (* -1/6 (* (pow theta 2) (* (cos phi1) (sin delta)))) (* (cos phi1) (sin delta))))
(* theta (+ (* (cos phi1) (sin delta)) (* (pow theta 2) (+ (* -1/6 (* (cos phi1) (sin delta))) (* 1/120 (* (pow theta 2) (* (cos phi1) (sin delta))))))))
(* theta (+ (* (cos phi1) (sin delta)) (* (pow theta 2) (+ (* -1/6 (* (cos phi1) (sin delta))) (* (pow theta 2) (+ (* -1/5040 (* (pow theta 2) (* (cos phi1) (sin delta)))) (* 1/120 (* (cos phi1) (sin delta)))))))))
(* theta (sin delta))
(* theta (+ (sin delta) (* -1/6 (* (pow theta 2) (sin delta)))))
(* theta (+ (sin delta) (* (pow theta 2) (+ (* -1/6 (sin delta)) (* 1/120 (* (pow theta 2) (sin delta)))))))
(* theta (+ (sin delta) (* (pow theta 2) (+ (* -1/6 (sin delta)) (* (pow theta 2) (+ (* -1/5040 (* (pow theta 2) (sin delta))) (* 1/120 (sin delta))))))))
(- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(- (+ (cos delta) (* 1/2 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1)))))) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(- (+ (cos delta) (* (pow theta 2) (- (* -1/24 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))) (* -1/2 (* (cos phi1) (* (sin delta) (sin phi1))))))) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(- (+ (cos delta) (* (pow theta 2) (- (* (pow theta 2) (- (* 1/720 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))) (* 1/24 (* (cos phi1) (* (sin delta) (sin phi1)))))) (* -1/2 (* (cos phi1) (* (sin delta) (sin phi1))))))) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta))))
(+ (* -1/2 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(+ (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))) (* (pow theta 2) (+ (* -1/2 (* (cos phi1) (* (sin delta) (sin phi1)))) (* 1/24 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))))))
(+ (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))) (* (pow theta 2) (+ (* -1/2 (* (cos phi1) (* (sin delta) (sin phi1)))) (* (pow theta 2) (+ (* -1/720 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))) (* 1/24 (* (cos phi1) (* (sin delta) (sin phi1)))))))))

Calls

15 calls:

Time	Variable		Point	Expression
5.0ms	theta	@	-inf	((+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (* (sin theta) (sin delta)) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin phi1) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (cos delta) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (sin delta) (sin phi1) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))
3.0ms	phi1	@	inf	((+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (* (sin theta) (sin delta)) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin phi1) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (cos delta) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (sin delta) (sin phi1) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))
3.0ms	delta	@	-inf	((+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (* (sin theta) (sin delta)) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin phi1) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (cos delta) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (sin delta) (sin phi1) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))
3.0ms	phi1	@	-inf	((+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (* (sin theta) (sin delta)) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin phi1) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (cos delta) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (sin delta) (sin phi1) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))
3.0ms	delta	@	inf	((+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (* (sin theta) (sin delta)) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin phi1) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (cos delta) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (* (sin theta) (sin delta)) (cos phi1)) (sin delta) (sin phi1) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))

simplify2.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	egg-herbie

Counts

67 → 23

Calls

Call 1

Inputs
(atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta)))))))
(+ lambda1 (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))))
lambda1
(* lambda1 (+ 1 (/ (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))) lambda1)))
(* -1 (* lambda1 (- (* -1 (/ (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))) lambda1)) 1)))
(* (sin delta) (sin theta))
(+ (* -1/2 (* (pow phi1 2) (* (sin delta) (sin theta)))) (* (sin delta) (sin theta)))
(+ (* (sin delta) (sin theta)) (* (pow phi1 2) (+ (* -1/2 (* (sin delta) (sin theta))) (* 1/24 (* (pow phi1 2) (* (sin delta) (sin theta)))))))
(+ (* (sin delta) (sin theta)) (* (pow phi1 2) (+ (* -1/2 (* (sin delta) (sin theta))) (* (pow phi1 2) (+ (* -1/720 (* (pow phi1 2) (* (sin delta) (sin theta)))) (* 1/24 (* (sin delta) (sin theta))))))))
(cos delta)
(+ (cos delta) (* -1 (* phi1 (* (cos theta) (sin delta)))))
(+ (cos delta) (* phi1 (- (* -1 (* phi1 (cos delta))) (* (cos theta) (sin delta)))))
(+ (cos delta) (* phi1 (- (* phi1 (- (* -1 (* phi1 (+ (* -1/2 (* (cos theta) (sin delta))) (* -1/6 (* (cos theta) (sin delta)))))) (cos delta))) (* (cos theta) (sin delta)))))
(* phi1 (* (cos theta) (sin delta)))
(* phi1 (+ (* phi1 (cos delta)) (* (cos theta) (sin delta))))
(* phi1 (+ (* phi1 (+ (cos delta) (* phi1 (+ (* -1/2 (* (cos theta) (sin delta))) (* -1/6 (* (cos theta) (sin delta))))))) (* (cos theta) (sin delta))))
(* phi1 (+ (* phi1 (+ (cos delta) (* phi1 (+ (* -1/2 (* (cos theta) (sin delta))) (+ (* -1/3 (* phi1 (cos delta))) (* -1/6 (* (cos theta) (sin delta)))))))) (* (cos theta) (sin delta))))
phi1
(* phi1 (+ 1 (* -1/6 (pow phi1 2))))
(* phi1 (+ 1 (* (pow phi1 2) (- (* 1/120 (pow phi1 2)) 1/6))))
(* phi1 (+ 1 (* (pow phi1 2) (- (* (pow phi1 2) (+ 1/120 (* -1/5040 (pow phi1 2)))) 1/6))))
(asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta)))))
(* (cos phi1) (* (sin delta) (sin theta)))
(- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))
(* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta)))))
(sin phi1)
(* delta (* (cos phi1) (sin theta)))
(* delta (+ (* -1/6 (* (pow delta 2) (* (cos phi1) (sin theta)))) (* (cos phi1) (sin theta))))
(* delta (+ (* (cos phi1) (sin theta)) (* (pow delta 2) (+ (* -1/6 (* (cos phi1) (sin theta))) (* 1/120 (* (pow delta 2) (* (cos phi1) (sin theta))))))))
(* delta (+ (* (cos phi1) (sin theta)) (* (pow delta 2) (+ (* -1/6 (* (cos phi1) (sin theta))) (* (pow delta 2) (+ (* -1/5040 (* (pow delta 2) (* (cos phi1) (sin theta)))) (* 1/120 (* (cos phi1) (sin theta)))))))))
(* delta (sin theta))
(* delta (+ (sin theta) (* -1/6 (* (pow delta 2) (sin theta)))))
(* delta (+ (sin theta) (* (pow delta 2) (+ (* -1/6 (sin theta)) (* 1/120 (* (pow delta 2) (sin theta)))))))
(* delta (+ (sin theta) (* (pow delta 2) (+ (* -1/6 (sin theta)) (* (pow delta 2) (+ (* -1/5040 (* (pow delta 2) (sin theta))) (* 1/120 (sin theta))))))))
(- 1 (pow (sin phi1) 2))
(- (+ 1 (* -1 (* delta (* (cos phi1) (* (cos theta) (sin phi1)))))) (pow (sin phi1) 2))
(- (+ 1 (* delta (- (* -1 (* delta (+ 1/2 (* -1/2 (pow (sin phi1) 2))))) (* (cos phi1) (* (cos theta) (sin phi1)))))) (pow (sin phi1) 2))
(- (+ 1 (* delta (- (* delta (- (* 1/6 (* delta (* (cos phi1) (* (cos theta) (sin phi1))))) (+ 1/2 (* -1/2 (pow (sin phi1) 2))))) (* (cos phi1) (* (cos theta) (sin phi1)))))) (pow (sin phi1) 2))
(pow (sin phi1) 2)
(+ (* delta (* (cos phi1) (* (cos theta) (sin phi1)))) (pow (sin phi1) 2))
(+ (* delta (+ (* -1/2 (* delta (pow (sin phi1) 2))) (* (cos phi1) (* (cos theta) (sin phi1))))) (pow (sin phi1) 2))
(+ (* delta (+ (* delta (+ (* -1/2 (pow (sin phi1) 2)) (* -1/6 (* delta (* (cos phi1) (* (cos theta) (sin phi1))))))) (* (cos phi1) (* (cos theta) (sin phi1))))) (pow (sin phi1) 2))
1
(+ 1 (* -1/2 (pow delta 2)))
(+ 1 (* (pow delta 2) (- (* 1/24 (pow delta 2)) 1/2)))
(+ 1 (* (pow delta 2) (- (* (pow delta 2) (+ 1/24 (* -1/720 (pow delta 2)))) 1/2)))
delta
(* delta (+ 1 (* -1/6 (pow delta 2))))
(* delta (+ 1 (* (pow delta 2) (- (* 1/120 (pow delta 2)) 1/6))))
(* delta (+ 1 (* (pow delta 2) (- (* (pow delta 2) (+ 1/120 (* -1/5040 (pow delta 2)))) 1/6))))
(sin delta)
(* theta (* (cos phi1) (sin delta)))
(* theta (+ (* -1/6 (* (pow theta 2) (* (cos phi1) (sin delta)))) (* (cos phi1) (sin delta))))
(* theta (+ (* (cos phi1) (sin delta)) (* (pow theta 2) (+ (* -1/6 (* (cos phi1) (sin delta))) (* 1/120 (* (pow theta 2) (* (cos phi1) (sin delta))))))))
(* theta (+ (* (cos phi1) (sin delta)) (* (pow theta 2) (+ (* -1/6 (* (cos phi1) (sin delta))) (* (pow theta 2) (+ (* -1/5040 (* (pow theta 2) (* (cos phi1) (sin delta)))) (* 1/120 (* (cos phi1) (sin delta)))))))))
(* theta (sin delta))
(* theta (+ (sin delta) (* -1/6 (* (pow theta 2) (sin delta)))))
(* theta (+ (sin delta) (* (pow theta 2) (+ (* -1/6 (sin delta)) (* 1/120 (* (pow theta 2) (sin delta)))))))
(* theta (+ (sin delta) (* (pow theta 2) (+ (* -1/6 (sin delta)) (* (pow theta 2) (+ (* -1/5040 (* (pow theta 2) (sin delta))) (* 1/120 (sin delta))))))))
(- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(- (+ (cos delta) (* 1/2 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1)))))) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(- (+ (cos delta) (* (pow theta 2) (- (* -1/24 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))) (* -1/2 (* (cos phi1) (* (sin delta) (sin phi1))))))) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(- (+ (cos delta) (* (pow theta 2) (- (* (pow theta 2) (- (* 1/720 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))) (* 1/24 (* (cos phi1) (* (sin delta) (sin phi1)))))) (* -1/2 (* (cos phi1) (* (sin delta) (sin phi1))))))) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta))))
(+ (* -1/2 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))))
(+ (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))) (* (pow theta 2) (+ (* -1/2 (* (cos phi1) (* (sin delta) (sin phi1)))) (* 1/24 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))))))
(+ (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (sin delta)))) (* (pow theta 2) (+ (* -1/2 (* (cos phi1) (* (sin delta) (sin phi1)))) (* (pow theta 2) (+ (* -1/720 (* (pow theta 2) (* (cos phi1) (* (sin delta) (sin phi1))))) (* 1/24 (* (cos phi1) (* (sin delta) (sin phi1)))))))))

Outputs
(atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta)))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(+ lambda1 (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))))
(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
lambda1
(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
(* lambda1 (+ 1 (/ (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))) lambda1)))
(*.f64 (sin.f64 theta) (sin.f64 delta))
(* -1 (* lambda1 (- (* -1 (/ (atan2 (* (cos phi1) (* (sin delta) (sin theta))) (- (cos delta) (* (sin phi1) (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta))))))) lambda1)) 1)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1))))
(* (sin delta) (sin theta))
#s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1)))
(+ (* -1/2 (* (pow phi1 2) (* (sin delta) (sin theta)))) (* (sin delta) (sin theta)))
#s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1))
(+ (* (sin delta) (sin theta)) (* (pow phi1 2) (+ (* -1/2 (* (sin delta) (sin theta))) (* 1/24 (* (pow phi1 2) (* (sin delta) (sin theta)))))))
(sin.f64 phi1)
(+ (* (sin delta) (sin theta)) (* (pow phi1 2) (+ (* -1/2 (* (sin delta) (sin theta))) (* (pow phi1 2) (+ (* -1/720 (* (pow phi1 2) (* (sin delta) (sin theta)))) (* 1/24 (* (sin delta) (sin theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
(cos delta)
(atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
(+ (cos delta) (* -1 (* phi1 (* (cos theta) (sin delta)))))
#s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta))
(+ (cos delta) (* phi1 (- (* -1 (* phi1 (cos delta))) (* (cos theta) (sin delta)))))
(cos.f64 delta)
(+ (cos delta) (* phi1 (- (* phi1 (- (* -1 (* phi1 (+ (* -1/2 (* (cos theta) (sin delta))) (* -1/6 (* (cos theta) (sin delta)))))) (cos delta))) (* (cos theta) (sin delta)))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(* phi1 (* (cos theta) (sin delta)))
(-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
(* phi1 (+ (* phi1 (cos delta)) (* (cos theta) (sin delta))))
#s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
(* phi1 (+ (* phi1 (+ (cos delta) (* phi1 (+ (* -1/2 (* (cos theta) (sin delta))) (* -1/6 (* (cos theta) (sin delta))))))) (* (cos theta) (sin delta))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(* phi1 (+ (* phi1 (+ (cos delta) (* phi1 (+ (* -1/2 (* (cos theta) (sin delta))) (+ (* -1/3 (* phi1 (cos delta))) (* -1/6 (* (cos theta) (sin delta)))))))) (* (cos theta) (sin delta))))
(atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
phi1
#s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta))
(* phi1 (+ 1 (* -1/6 (pow phi1 2))))
(sin.f64 delta)
(* phi1 (+ 1 (* (pow phi1 2) (- (* 1/120 (pow phi1 2)) 1/6))))
#s(approx (sin phi1) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
(* phi1 (+ 1 (* (pow phi1 2) (- (* (pow phi1 2) (+ 1/120 (* -1/5040 (pow phi1 2)))) 1/6))))
#s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
(asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (cos theta) (sin delta)))))
#s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))
(* (cos phi1) (* (sin delta) (sin theta)))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

rewrite2.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Counts

23 → 23

Calls

Call 1

Inputs
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
(*.f64 (sin.f64 theta) (sin.f64 delta))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1))))
#s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1)))
#s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1))
(sin.f64 phi1)
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
(atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
#s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta))
(cos.f64 delta)
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
#s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
#s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta))
(sin.f64 delta)
#s(approx (sin phi1) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
#s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
#s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

Outputs
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1))
(*.f64 (sin.f64 theta) (sin.f64 delta))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1))))
#s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1)))
#s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1))
(sin.f64 phi1)
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
(atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
#s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta))
(cos.f64 delta)
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
(-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
#s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
#s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta))
(sin.f64 delta)
#s(approx (sin phi1) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
#s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
#s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))
(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

eval8.0ms (0.1%)

Memory: 11.6MiB live, 11.6MiB allocated
Compiler: Compiled 6 709 to 150 computations (97.8% saved)

prune35.0ms (0.6%)

Memory

9.1MiB live, 47.7MiB allocated

Pruning

33 alts after pruning (18 fresh and 15 done)

	Pruned	Kept	Total
New	60	10	70
Fresh	0	8	8
Picked	0	5	5
Done	0	10	10
Total	60	33	93

Accuracy

99.7%

Counts

93 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
✓	27.7%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
✓	13.7%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
✓	9.3%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
	7.6%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
✓	10.4%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
	5.1%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
✓	5.0%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
	4.8%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) (sin.f64 delta)) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
	4.4%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
	4.9%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) #s(approx (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))))))
	4.9%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
	4.4%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
	4.4%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
✓	4.3%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
	4.1%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) #s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
✓	4.0%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
✓	4.0%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
	3.7%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) (sin.f64 delta)) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
	2.1%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
	3.6%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
	4.4%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) #s(approx (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))))
✓	9.5%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)))
✓	8.2%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (*.f64 (sin.f64 theta) (sin.f64 delta)))
	4.6%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin.f64 theta))
✓	5.0%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin.f64 delta))
✓	3.9%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
	3.7%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
	4.6%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
✓	4.1%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1))))
	4.9%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
	4.4%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) #s(approx (sin phi1) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
✓	4.2%	#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)))

Compiler

Compiled 5 438 to 1 270 computations (76.6% saved)

regimes100.0ms (1.7%)

Memory

-3.7MiB live, 74.8MiB allocated

Counts

33 → 1

Calls

Call 1

Inputs
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin.f64 delta))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin.f64 theta))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) #s(approx (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (*.f64 (sin.f64 theta) (sin.f64 delta)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) #s(approx (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) #s(approx (sin phi1) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) (sin.f64 delta)) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) (sin.f64 delta)) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) #s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))

Outputs

(+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))

Calls

7 calls:

32.0ms	phi1
15.0ms	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
10.0ms	(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
10.0ms	theta
10.0ms	phi2

Results

Accuracy	Segments	Branch
99.7%	1	`lambda1`
99.7%	1	`phi1`
99.7%	1	`phi2`
99.7%	1	`delta`
99.7%	1	`theta`
99.7%	1	`(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))`
99.7%	1	`(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))`

Compiler

Compiled 69 to 70 computations (-1.4% saved)

regimes74.0ms (1.2%)

Memory

6.6MiB live, 82.9MiB allocated

Counts

32 → 1

Calls

Call 1

Inputs
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin.f64 delta))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin.f64 theta))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) #s(approx (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (*.f64 (sin.f64 theta) (sin.f64 delta)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) #s(approx (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) #s(approx (sin phi1) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) (sin.f64 delta)) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) (sin.f64 delta)) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) #s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))

Outputs

#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))

Calls

7 calls:

12.0ms	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
11.0ms	phi1
10.0ms	theta
10.0ms	delta
10.0ms	phi2

Results

Accuracy	Segments	Branch
27.7%	1	`lambda1`
27.7%	1	`phi1`
27.7%	1	`phi2`
27.7%	1	`delta`
27.7%	1	`theta`
27.7%	1	`(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))`
27.7%	1	`(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))`

Compiler

Compiled 69 to 70 computations (-1.4% saved)

regimes91.0ms (1.5%)

Memory

-0.0MiB live, 78.6MiB allocated

Counts

31 → 1

Calls

Call 1

Inputs
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin.f64 delta))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin.f64 theta))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) #s(approx (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (*.f64 (sin.f64 theta) (sin.f64 delta)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) #s(approx (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) #s(approx (sin phi1) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) (sin.f64 delta)) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) (sin.f64 delta)) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) #s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))

Outputs

#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))

Calls

7 calls:

28.0ms	phi1
12.0ms	phi2
10.0ms	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
9.0ms	theta
9.0ms	lambda1

Results

Accuracy	Segments	Branch
13.7%	1	`delta`
13.7%	1	`phi1`
13.7%	1	`(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))`
13.7%	1	`(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))`
13.7%	1	`lambda1`
13.7%	1	`phi2`
13.7%	1	`theta`

Compiler

Compiled 69 to 70 computations (-1.4% saved)

regimes67.0ms (1.1%)

Memory

-3.6MiB live, 72.8MiB allocated

Counts

28 → 2

Calls

Call 1

Inputs
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin.f64 delta))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin.f64 theta))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) #s(approx (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (*.f64 (sin.f64 theta) (sin.f64 delta)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) #s(approx (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) #s(approx (sin phi1) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) (sin.f64 delta)) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) (sin.f64 delta)) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) #s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))

Outputs

#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (*.f64 #s(approx (sin phi1) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))

#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))

Calls

7 calls:

12.0ms	delta
10.0ms	(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
9.0ms	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
9.0ms	theta
9.0ms	phi2

Results

Accuracy	Segments	Branch
10.4%	1	`phi1`
12.3%	2	`delta`
10.4%	1	`lambda1`
10.4%	1	`(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))`
10.4%	1	`theta`
10.4%	1	`(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))`
12.3%	2	`phi2`

Compiler

Compiled 69 to 70 computations (-1.4% saved)

regimes19.0ms (0.3%)

Memory

22.3MiB live, 22.3MiB allocated

Counts

27 → 1

Calls

Call 1

Inputs
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin.f64 delta))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin.f64 theta))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) #s(approx (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (*.f64 (sin.f64 theta) (sin.f64 delta)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) #s(approx (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) #s(approx (sin phi1) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) (sin.f64 delta)) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) (sin.f64 delta)) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) #s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))

Outputs

#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))

Calls

2 calls:

8.0ms	delta
8.0ms	phi2

Results

Accuracy	Segments	Branch
10.4%	1	`phi2`
10.4%	1	`delta`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes39.0ms (0.6%)

Memory

-5.9MiB live, 36.5MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin.f64 delta))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin.f64 theta))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) #s(approx (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (*.f64 (sin.f64 theta) (sin.f64 delta)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) #s(approx (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))))))

Outputs

#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)))

Calls

7 calls:

12.0ms	delta
4.0ms	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
4.0ms	(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
4.0ms	phi2
4.0ms	theta

Results

Accuracy	Segments	Branch
9.5%	1	`theta`
9.5%	1	`lambda1`
9.5%	1	`phi1`
9.5%	1	`phi2`
9.5%	1	`(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))`
9.5%	1	`(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))`
9.5%	1	`delta`

Compiler

Compiled 69 to 70 computations (-1.4% saved)

regimes33.0ms (0.5%)

Memory

-8.3MiB live, 30.3MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin.f64 delta))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin.f64 theta))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) #s(approx (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (*.f64 (sin.f64 theta) (sin.f64 delta)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (sin.f64 delta)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))

Outputs

#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (*.f64 (sin.f64 theta) (sin.f64 delta)))

Calls

7 calls:

10.0ms	(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
4.0ms	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
3.0ms	phi1
3.0ms	delta
3.0ms	theta

Results

Accuracy	Segments	Branch
8.2%	1	`phi1`
8.2%	1	`lambda1`
8.2%	1	`(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))`
8.2%	1	`phi2`
8.2%	1	`theta`
8.2%	1	`(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))`
8.2%	1	`delta`

Compiler

Compiled 69 to 70 computations (-1.4% saved)

regimes22.0ms (0.4%)

Memory

-12.3MiB live, 26.4MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin.f64 delta))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin.f64 theta))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) #s(approx (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))))

Outputs

#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin.f64 delta))

Calls

7 calls:

5.0ms	lambda1
3.0ms	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
3.0ms	(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
3.0ms	theta
3.0ms	phi2

Results

Accuracy	Segments	Branch
5.0%	1	`phi1`
5.0%	1	`delta`
5.0%	1	`lambda1`
5.0%	1	`phi2`
5.0%	1	`(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))`
5.0%	1	`(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))`
5.0%	1	`theta`

Compiler

Compiled 69 to 70 computations (-1.4% saved)

regimes14.0ms (0.2%)

Memory

21.0MiB live, 21.0MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)))

#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1))))

#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))

Outputs

#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))

Calls

7 calls:

2.0ms	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
2.0ms	(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
2.0ms	lambda1
2.0ms	delta
2.0ms	theta

Results

Accuracy	Segments	Branch
4.6%	1	`phi1`
4.6%	1	`delta`
4.6%	1	`lambda1`
4.6%	1	`theta`
4.6%	1	`phi2`
4.6%	1	`(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))`
4.6%	1	`(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))`

Compiler

Compiled 69 to 70 computations (-1.4% saved)

regimes28.0ms (0.5%)

Memory

-19.8MiB live, 19.2MiB allocated

Accuracy

Total -1.0b remaining (-1.7%)

Threshold costs -1b (-1.7%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)))

#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin.f64 phi1))))

Outputs

#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)))

Calls

7 calls:

18.0ms	lambda1
2.0ms	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
2.0ms	(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
1.0ms	theta
1.0ms	delta

Results

Accuracy	Segments	Branch
4.2%	1	`(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))`
4.2%	1	`phi1`
4.2%	1	`theta`
4.2%	1	`lambda1`
4.2%	1	`(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))`
4.2%	1	`phi2`
4.2%	1	`delta`

Compiler

Compiled 69 to 70 computations (-1.4% saved)

bsearch47.0ms (0.8%)

Memory

10.3MiB live, 49.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
44.0ms	-7.194177131596159e-54	-1.6796355999233398e-66

Samples

36.0ms

160×

valid

Compiler

Compiled 1 786 to 771 computations (56.8% saved)

Precisions

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

ival-sin: 9.0ms (29.3% of total)

ival-cos: 7.0ms (22.8% of total)

ival-mult: 6.0ms (19.6% of total)

ival-atan2: 4.0ms (13% of total)

ival-asin: 2.0ms (6.5% of total)

ival-add: 1.0ms (3.3% of total)

ival-sub: 1.0ms (3.3% of total)

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

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

simplify6.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(if (<=.f64 delta #s(literal -6039028053441743/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) #s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))) #s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (*.f64 (sin.f64 theta) (sin.f64 delta)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin.f64 delta))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)))

Outputs
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
(if (<=.f64 delta #s(literal -6039028053441743/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) #s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) #s(approx (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (asin.f64 (+.f64 (.f64 #s(approx (sin phi1) #s(approx (- (cos delta) ( (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))) #s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1))))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (*.f64 (sin.f64 theta) (sin.f64 delta)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sin.f64 delta))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos.f64 phi1)))
#s(approx (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) #s(approx (* (* (sin theta) (sin delta)) (cos phi1)) (cos.f64 delta)))

soundness2.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 647 to 66 computations (89.8% saved)

preprocess80.0ms (1.3%)

Memory: -5.5MiB live, 69.7MiB allocated
Compiler: Compiled 1 360 to 178 computations (86.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.3s (21.2%)

sample3.0s (49%)

explain398.0ms (6.6%)

preprocess5.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify1.0ms (0%)

localize103.0ms (1.7%)

series55.0ms (0.9%)

simplify1.0ms (0%)

rewrite0.0ms (0%)

eval4.0ms (0.1%)

prune4.0ms (0.1%)

simplify2.0ms (0%)

localize120.0ms (2%)

series24.0ms (0.4%)

simplify1.0ms (0%)

rewrite1.0ms (0%)

eval6.0ms (0.1%)

prune35.0ms (0.6%)

simplify2.0ms (0%)

localize113.0ms (1.9%)

series23.0ms (0.4%)

simplify17.0ms (0.3%)

rewrite1.0ms (0%)

eval7.0ms (0.1%)

prune30.0ms (0.5%)

simplify3.0ms (0.1%)

localize143.0ms (2.4%)

series27.0ms (0.4%)

simplify2.0ms (0%)

rewrite2.0ms (0%)

eval8.0ms (0.1%)

prune35.0ms (0.6%)

regimes100.0ms (1.7%)

regimes74.0ms (1.2%)

regimes91.0ms (1.5%)

regimes67.0ms (1.1%)

regimes19.0ms (0.3%)

regimes39.0ms (0.6%)

regimes33.0ms (0.5%)

regimes22.0ms (0.4%)

regimes14.0ms (0.2%)

regimes28.0ms (0.5%)

bsearch47.0ms (0.8%)

simplify6.0ms (0.1%)

soundness2.0ms (0%)

preprocess80.0ms (1.3%)

end0.0ms (0%)

Profiling