Metrics for Diagrams.ThreeD.Transform:aboutX from diagrams-lib-1.3.0.3, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.4s (13.4%)

Memory

-147.5MiB live, 1 589.4MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 817.0ms

ival-mult: 361.0ms (44.2% of total)

ival-cos: 209.0ms (25.6% of total)

ival-sin: 203.0ms (24.8% of total)

ival-sub: 35.0ms (4.3% of total)

ival-true: 6.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain107.0ms (1%)

Memory

4.8MiB live, 199.6MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
-	-	`(sin.f64 y)`
-	-	`y`
-	-	`(*.f64 x (cos.f64 y))`
-	-	`z`
-	-	`(cos.f64 y)`
-	-	`x`
-	-	`(*.f64 z (sin.f64 y))`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

56.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

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

ival-cos: 11.0ms (35% of total)

ival-sin: 11.0ms (35% of total)

ival-mult: 7.0ms (22.2% of total)

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

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

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

preprocess58.0ms (0.6%)

Memory

6.0MiB live, 76.4MiB allocated

Algorithm

1×	egg-herbie

Rules

208×	`lower-fma.f64`
208×	`lower-fma.f32`
178×	`distribute-lft-neg-in`
166×	`associate-r`
148×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	87
1	90	84
2	169	84
3	375	84
4	665	84
5	872	84
6	1052	84
7	1105	84
8	1113	84
9	1117	84
0	8	9
0	13	9
1	20	9
2	32	9
3	44	9
4	65	9
5	95	9
6	153	9
7	223	9
8	282	9
9	311	9
10	327	9
0	327	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify13.0ms (0.1%)

Memory

28.2MiB live, 28.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 z (sin.f64 y))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 x (cos.f64 y))
cost-diff	0	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Rules

208×	`lower-fma.f64`
208×	`lower-fma.f32`
144×	`lower-*.f32`
140×	`lower-*.f64`
64×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	13	24
1	20	24
2	32	24
3	44	24
4	65	24
5	95	24
6	153	24
7	223	24
8	282	24
9	311	24
10	327	24
0	327	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)

localize90.0ms (0.9%)

Memory

-25.2MiB live, 57.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 y)
accuracy	0.01171875	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
accuracy	0.1015625	(*.f64 x (cos.f64 y))
accuracy	0.10546875	(*.f64 z (sin.f64 y))

Samples

26.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-cos: 6.0ms (38.5% of total)

ival-sin: 5.0ms (32.1% of total)

ival-mult: 3.0ms (19.2% of total)

ival-sub: 1.0ms (6.4% of total)

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

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

series7.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (cos.f64 y)>
#<alt (*.f64 z (sin.f64 y))>

Outputs
#<alt (* -1 (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))>
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(- (* x (cos y)) (* z (sin y)))
1.0ms	z	@	0	(- (* x (cos y)) (* z (sin y)))
1.0ms	y	@	-inf	(- (* x (cos y)) (* z (sin y)))
1.0ms	y	@	0	(- (* x (cos y)) (* z (sin y)))
0.0ms	y	@	inf	(- (* x (cos y)) (* z (sin y)))

simplify300.0ms (2.8%)

Memory

-23.6MiB live, 378.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12 044×	`lower-fma.f64`
12 044×	`lower-fma.f32`
4 682×	`lower-*.f64`
4 682×	`lower-*.f32`
1 796×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	624
1	292	619
2	837	613
3	2075	607
4	3601	607
5	6258	607
0	8452	586

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

Inputs
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))

Outputs
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (- (* -1/2 (* x y)) z)))
(-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(-.f64 x (.f64 y (fma.f64 y (fma.f64 (.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 y (.f64 x (.f64 y #s(literal -1/2 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (.f64 y x) (.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 y (.f64 y (.f64 x (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) x)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* y z)
(*.f64 z y)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(.f64 y (fma.f64 z (.f64 (*.f64 y y) #s(literal -1/6 binary64)) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(.f64 z (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(.f64 y (fma.f64 (.f64 z (.f64 y y)) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) z))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))

rewrite386.0ms (3.7%)

Memory

9.0MiB live, 475.9MiB allocated

Rules

10 986×	`lower-fma.f64`
10 986×	`lower-fma.f32`
4 356×	`lower-*.f32`
4 352×	`lower-*.f64`
3 866×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
0	13	19
1	33	19
2	210	19
3	1964	19
0	8379	19

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

4 → 231

Calls

Call 1

Inputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 z (sin.f64 y))

Outputs
(+.f64 (.f64 x (cos.f64 y)) (neg.f64 (.f64 z (sin.f64 y))))
(+.f64 (neg.f64 (.f64 z (sin.f64 y))) (.f64 x (cos.f64 y)))
(+.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (neg.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) #s(literal -1 binary64)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))
(-.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 9 binary64)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 (cos.f64 y) (.f64 x (.f64 z (sin.f64 y)))) #s(literal 3 binary64))))) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (/.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 9 binary64)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 (cos.f64 y) (.f64 x (.f64 z (sin.f64 y)))) #s(literal 3 binary64))))) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (/.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(-.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 z (.f64 z (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (.f64 (cos.f64 y) (.f64 x (.f64 z (sin.f64 y)))))))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (.f64 z (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (.f64 (cos.f64 y) (.f64 x (.f64 z (sin.f64 y)))))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 9 binary64)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 (cos.f64 y) (.f64 x (.f64 z (sin.f64 y)))) #s(literal 3 binary64))))) (fma.f64 z (.f64 z (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (.f64 (cos.f64 y) (.f64 x (.f64 z (sin.f64 y)))))))) (/.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 9 binary64)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 (cos.f64 y) (.f64 x (.f64 z (sin.f64 y)))) #s(literal 3 binary64))))) (fma.f64 z (.f64 z (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (.f64 (cos.f64 y) (.f64 x (.f64 z (sin.f64 y)))))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 z (.f64 z (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (.f64 (cos.f64 y) (.f64 x (.f64 z (sin.f64 y)))))))) (/.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 z (.f64 z (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (.f64 (cos.f64 y) (.f64 x (.f64 z (sin.f64 y)))))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (/.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64)) (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (/.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 4 binary64)) (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))) (/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))) (neg.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(-.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 9 binary64)) (.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 (cos.f64 y) (.f64 x (.f64 z (sin.f64 y)))) #s(literal 3 binary64)))))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 9 binary64)) (.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 (cos.f64 y) (.f64 x (.f64 z (sin.f64 y)))) #s(literal 3 binary64)))))))
(-.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64))))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)) (.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64)) (.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 4 binary64)) (.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))))
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(.f64 (-.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 9 binary64)) (pow.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) #s(literal 3 binary64))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))))))
(.f64 (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))))))
(.f64 (-.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))))
(.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))))
(.f64 (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 9 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 9 binary64))) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 (cos.f64 y) (.f64 x (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64))) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 4 binary64))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))))
(.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (-.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #s(literal 2 binary64)))) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 9 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 (cos.f64 y) (.f64 x (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (cos.f64 y))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (cos.f64 y))))
(cos.f64 y)
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (sin.f64 y))))

eval88.0ms (0.8%)

Memory: 7.3MiB live, 112.2MiB allocated
Compiler: Compiled 15 516 to 726 computations (95.3% saved)

prune78.0ms (0.7%)

Memory

-5.5MiB live, 116.5MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	309	16	325
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	310	16	326

Accuracy

99.9%

Counts

326 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.6%	(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
	66.1%	(fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
	45.8%	(fma.f64 (.f64 x (.f64 x (cos.f64 y))) (/.f64 (cos.f64 y) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
▶	99.8%	(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
▶	66.1%	(fma.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
	46.1%	(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
	45.1%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
	63.4%	(-.f64 (.f64 x (cos.f64 y)) #s(approx ( z (sin y)) (*.f64 z y)))
	78.3%	(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
	46.1%	(.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
	51.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y)))
▶	51.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
	51.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 y (fma.f64 y (fma.f64 (.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z))))
	60.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
▶	41.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))

Compiler

Compiled 784 to 422 computations (46.2% saved)

simplify209.0ms (2%)

Memory

-1.7MiB live, 255.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff	128	(neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))
cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff	128	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)))
cost-diff	192	(+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
cost-diff	960	(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 z (sin.f64 y))
cost-diff	0	(neg.f64 (*.f64 z (sin.f64 y)))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
cost-diff	0	(*.f64 z y)
cost-diff	0	(-.f64 x (*.f64 z y))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
cost-diff	0	(*.f64 z (sin.f64 y))
cost-diff	0	(neg.f64 (*.f64 z (sin.f64 y)))
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))

Rules

5 072×	`lower-fma.f32`
5 064×	`lower-fma.f64`
3 394×	`lower-*.f32`
3 378×	`lower-*.f64`
1 972×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	357
0	68	351
1	139	350
2	320	346
3	1067	342
4	3267	342
5	6707	342
0	8071	330

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
(cos.f64 y)
y
x
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(-.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y
(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
(neg.f64 (*.f64 z z))
(*.f64 z z)
z
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
#s(literal 1 binary64)
(+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
#s(literal 0 binary64)
(*.f64 z (sin.f64 y))
(sin.f64 y)
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
(fma.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
x
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(cos.f64 y)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
(*.f64 z z)

Outputs
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(cos.f64 y)
y
x
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z)))
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 y z))
x
(*.f64 z y)
(*.f64 y z)
z
y
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y
(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (/.f64 z (sin.f64 y))))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)))
(.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
(neg.f64 (*.f64 z z))
(*.f64 z z)
z
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
#s(literal 1 binary64)
(+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
#s(literal 0 binary64)
(*.f64 z (sin.f64 y))
(sin.f64 y)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
x
(cos.f64 y)
(fma.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(fma.f64 (/.f64 (.f64 z z) (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 x x) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))))
x
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(cos.f64 y)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))
(/.f64 (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
(.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (.f64 z z) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
(/.f64 (.f64 z z) (fma.f64 (cos.f64 y) x (.f64 z (sin.f64 y))))
(*.f64 z z)

localize339.0ms (3.2%)

Memory

20.7MiB live, 466.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.4516981236612279	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy	7.41069894295749	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
accuracy	13.472644118888661	(/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
accuracy	14.864630456769046	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy	0.1875	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
accuracy	6.014676902504833	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)))
accuracy	14.864630456769046	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy	21.718372331305883	(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
accuracy	0	(sin.f64 y)
accuracy	0	(neg.f64 (*.f64 z (sin.f64 y)))
accuracy	0.10546875	(*.f64 z (sin.f64 y))
accuracy	37.12475830935756	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
accuracy	0	(*.f64 z y)
accuracy	0.0078125	(-.f64 x (*.f64 z y))
accuracy	30.75583393230882	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
accuracy	0	(neg.f64 (*.f64 z (sin.f64 y)))
accuracy	0	(cos.f64 y)
accuracy	0.0703125	(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
accuracy	0.10546875	(*.f64 z (sin.f64 y))

Samples

134.0ms	94×	1	valid
119.0ms	132×	0	valid
26.0ms	30×	2	valid

Compiler

Compiled 357 to 38 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 228.0ms

ival-mult: 70.0ms (30.7% of total)

ival-add: 42.0ms (18.4% of total)

ival-sin: 42.0ms (18.4% of total)

ival-cos: 41.0ms (18% of total)

adjust: 14.0ms (6.1% of total)

ival-div: 7.0ms (3.1% of total)

ival-sub: 5.0ms (2.2% of total)

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

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

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

exact: 0.0ms (0% of total)

series99.0ms (0.9%)

Memory

2.2MiB live, 117.1MiB allocated

Counts

19 → 516

Calls

Call 1

Inputs
#<alt (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))>
#<alt (cos.f64 y)>
#<alt (neg.f64 (*.f64 z (sin.f64 y)))>
#<alt (*.f64 z (sin.f64 y))>
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))>
#<alt (-.f64 x (*.f64 z y))>
#<alt (*.f64 z y)>
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))>
#<alt (sin.f64 y)>
#<alt (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))>
#<alt (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))>
#<alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)))>
#<alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))>
#<alt (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))>
#<alt (fma.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))>
#<alt (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))>
#<alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))>

Outputs
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))>
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* y z))>
#<alt (* y (- (* 1/6 (* (pow y 2) z)) z))>
#<alt (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))>
#<alt (* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
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#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))>
#<alt (* (pow z 2) (- (+ (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 2)))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))>
#<alt (* (pow z 2) (- (+ (* z (- (/ (* z (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 3))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))>
#<alt (* (pow z 2) (- (+ (* z (- (* z (- (* -1 (/ (* z (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (cos y) 3)))))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))>
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (* z (- (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))>
#<alt (* z (- (+ (* 1/2 (/ 1 (sin y))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 4)))) (* 1/2 (/ 1 (sin y)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))))))>
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))))))>
#<alt (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 4))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)))))>
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (+ (* x (- (/ (* x (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 4)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))>
#<alt (/ (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) x)>
#<alt (/ (- (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x)>
#<alt (/ (- (+ (* -1 (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 4)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (+ (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))) x)>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4))) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x))>

Calls

129 calls:

Time	Variable		Point	Expression
29.0ms	x	@	-inf	(neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))
9.0ms	z	@	inf	(* z y)
9.0ms	z	@	inf	(* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y)))))
3.0ms	y	@	0	(* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z)))
2.0ms	x	@	inf	(+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y)))))))

simplify304.0ms (2.9%)

Memory

6.4MiB live, 528.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 328×	`lower-fma.f64`
7 328×	`lower-fma.f32`
6 732×	`lower-*.f64`
6 732×	`lower-*.f32`
4 448×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	995	9851
1	3472	9578
0	8199	9325

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 506

Calls

Call 1

Inputs
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* y z))
(* y (- (* 1/6 (* (pow y 2) z)) z))
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* y z))
(- x (* y z))
(- x (* y z))
(- x (* y z))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
x
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* -1 (* y z))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* -1 (* y z))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1 (* y (- (* -1/3 z) (* -1/6 z)))) (* -1/2 x))))))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y)))
(* x (cos y))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))
(* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))
(* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))
(* -1 (* z (- (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (* x (cos y)) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (* x (cos y)) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (* x (cos y)) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))))
(* x (+ (cos y) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))))
(* x (+ (cos y) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2)))))
(* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2))))))
(* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* 1/3 (pow z 2)) (* (pow y 2) (+ (* -2/45 (pow z 2)) (* 1/315 (* (pow y 2) (pow z 2)))))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
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(/ (pow z 2) (* x (cos y)))
(* (pow z 2) (+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y)))))
(* (pow z 2) (+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))))
(* (pow z 2) (+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))))
(/ z (sin y))
(* z (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))))
(* z (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))))
(* z (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))))
(/ z (sin y))
(* -1 (* z (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y)))))
(* -1 (* z (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y)))))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y)))))
(/ z (sin y))
(+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (/ z (sin y)))
(+ (* x (- (/ (* x (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (cos y) (pow (sin y) 2)))) (/ z (sin y)))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* z (pow (sin y) 3)))))) (/ (cos y) (pow (sin y) 2)))) (/ z (sin y)))
(/ (pow z 2) (* x (cos y)))
(/ (+ (* -1 (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2)))) (/ (pow z 2) (cos y))) x)
(/ (- (+ (/ (* (pow z 4) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))) (/ (pow z 2) (cos y))) (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 5) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ (pow z 2) (cos y))) (+ (* -1 (/ (* (pow z 4) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2))))) x)
(/ (pow z 2) (* x (cos y)))
(* -1 (/ (+ (* -1 (/ (pow z 2) (cos y))) (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2)))) x))
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* (pow z 3) (sin y)) (pow (cos y) 2))) x)) (* -1 (/ (pow z 2) (cos y)))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 4) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* (pow z 3) (sin y)) (pow (cos y) 2))) x)) (* -1 (/ (pow z 2) (cos y)))) x))
(/ (pow z 2) x)
(+ (* -1 (/ (* y (pow z 3)) (pow x 2))) (/ (pow z 2) x))
(+ (* y (- (* -1 (* y (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* z (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x)))) x)) (+ (* -1/6 (/ (pow z 3) (pow x 2))) (* 1/2 (/ (pow z 3) (pow x 2))))))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x))
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow y 2) (pow z 2)) x)
(* (pow y 2) (+ (* -1 (/ (* y (pow z 3)) (pow x 2))) (/ (pow z 2) x)))
(* (pow y 2) (+ (* y (- (* y (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x)))
(* (pow y 2) (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ (pow z 3) (pow x 2))) (+ (* 1/2 (/ (pow z 3) (pow x 2))) (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x))))) (* -1/3 (/ (pow z 2) x))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x)))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(* (pow z 2) (- (+ (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 2)))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))
(* (pow z 2) (- (+ (* z (- (/ (* z (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 3))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))
(* (pow z 2) (- (+ (* z (- (* z (- (* -1 (/ (* z (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (cos y) 3)))))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(* z (- (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))
(* z (- (+ (* 1/2 (/ 1 (sin y))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))))))
(* z (- (+ (* -1 (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 4)))) (* 1/2 (/ 1 (sin y)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))))))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))))))
(* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)))))
(* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 4))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)))))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(+ (* x (- (/ (* x (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(+ (* x (- (* x (- (* -1 (/ (* x (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 4)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(/ (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) x)
(/ (- (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 4)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (+ (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))) x)
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4))) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x))

Outputs
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x y) (neg.f64 z)) x)
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(fma.f64 y (fma.f64 y (fma.f64 (.f64 y z) #s(literal 1/6 binary64) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
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(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
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(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
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(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
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(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
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(.f64 (-.f64 (/.f64 (.f64 z (sin.f64 y)) x) (cos.f64 y)) (neg.f64 x))
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(.f64 (-.f64 (/.f64 (.f64 z (sin.f64 y)) x) (cos.f64 y)) (neg.f64 x))
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(.f64 (-.f64 (/.f64 (.f64 z (sin.f64 y)) x) (cos.f64 y)) (neg.f64 x))
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(+ (* -1 (* z (sin y))) (* x (cos y)))
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(* z (- (/ (* x (cos y)) z) (sin y)))
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(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))))
(* -1 (* z (sin y)))
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(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
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(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 z))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 z))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
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(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
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(cos y)
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(cos y)
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(* -1 (* z (sin y)))
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(.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
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(* -1 (* z (sin y)))
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(* z (sin y))
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(* y z)
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(/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))
(* z (- (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))
(.f64 z (fma.f64 (neg.f64 x) (/.f64 (.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))))
(* z (- (+ (* 1/2 (/ 1 (sin y))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))))))
(.f64 z (-.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 (.f64 (.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))))
(* z (- (+ (* -1 (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 4)))) (* 1/2 (/ 1 (sin y)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))))))
(.f64 z (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 y)) (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (.f64 (.f64 z (.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 (.f64 (.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 (.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))
(* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))))))
(.f64 (-.f64 (/.f64 (.f64 (.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (sin.f64 y))) (neg.f64 z))
(* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)))))
(.f64 z (neg.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (neg.f64 (sin.f64 y))) (/.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z))))
(* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 4))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)))))
(.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 z)) (/.f64 (.f64 (.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 z)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (sin.f64 y))) (neg.f64 z))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))
(+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(fma.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (sin.f64 y)) (/.f64 (.f64 (.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
(+ (* x (- (/ (* x (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(fma.f64 x (-.f64 (/.f64 (.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y)))
(+ (* x (- (* x (- (* -1 (/ (* x (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 4)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(fma.f64 x (fma.f64 x (fma.f64 x (neg.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (.f64 (neg.f64 (cos.f64 y)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y)))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (*.f64 x (cos.f64 y))))
(/ (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) x)
(/.f64 (-.f64 (.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (cos.f64 y))) (/.f64 (.f64 (.f64 (sin.f64 y) (.f64 z (.f64 z z))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x)
(/ (- (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x)
(/.f64 (-.f64 (fma.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (cos.f64 y)) (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (/.f64 (.f64 (.f64 (sin.f64 y) (.f64 z (.f64 z z))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x)
(/ (- (+ (* -1 (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 4)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (+ (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))) x)
(/.f64 (-.f64 (-.f64 (.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (cos.f64 y))) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (.f64 (.f64 x (.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) (-.f64 (/.f64 (.f64 (.f64 (sin.f64 y) (.f64 z (.f64 z z))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) x)
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (*.f64 x (cos.f64 y))))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x))
(/.f64 (-.f64 (.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (cos.f64 y))) (/.f64 (.f64 (.f64 (sin.f64 y) (.f64 z (.f64 z z))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x)
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x))
(/.f64 (neg.f64 (fma.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (cos.f64 y)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 (sin.f64 y) (.f64 z (.f64 z z))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4))) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (cos.f64 y)) (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 x)) (/.f64 (.f64 (.f64 (sin.f64 y) (.f64 z (.f64 z z))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x))) x))

rewrite766.0ms (7.3%)

Memory

-17.6MiB live, 1 057.0MiB allocated

Rules

4 422×	`lower-*.f32`
4 406×	`lower-*.f64`
3 858×	`lower-/.f32`
3 852×	`lower-/.f64`
3 568×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	227
0	68	175
1	269	149
2	2171	137
0	9204	137

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

19 → 2 930

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
(cos.f64 y)
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(-.f64 x (*.f64 z y))
(*.f64 z y)
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
(sin.f64 y)
(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
(+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))
(fma.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))

Outputs
(+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))
(+.f64 (.f64 z (sin.f64 y)) (+.f64 #s(literal 0 binary64) (.f64 (cos.f64 y) x)))
(+.f64 #s(literal 0 binary64) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (neg.f64 z) (neg.f64 (sin.f64 y))))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (neg.f64 (neg.f64 z)) (sin.f64 y)))
(+.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal 0 binary64))
(+.f64 (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z)) (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))) (.f64 (.f64 x x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))))
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(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)) (*.f64 z z)))))
(/.f64 (neg.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (neg.f64 (.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))))))) (neg.f64 (.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (.f64 (neg.f64 (.f64 z z)) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (neg.f64 (.f64 (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (.f64 (neg.f64 (.f64 z z)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))))))) (neg.f64 (.f64 (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (neg.f64 (.f64 (/.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)) (.f64 z z)) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))))))) (neg.f64 (.f64 (/.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)) (*.f64 z z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)) (*.f64 z z))))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 z z) (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 z z) (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (/.f64 (.f64 z z) (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 (.f64 z z) (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)) (*.f64 z z))))
(pow.f64 (/.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))) #s(literal -1 binary64))
(.f64 z (.f64 (/.f64 z (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
(.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(.f64 (.f64 z z) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (/.f64 (.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z)) (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z)) (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))))
(.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x))))
(.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
(.f64 (neg.f64 (/.f64 (.f64 z z) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) z) (/.f64 z (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
(.f64 (.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) z) (/.f64 z (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))))
(.f64 (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z)) (+.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 x (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))))
(.f64 (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z)))) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)))

eval787.0ms (7.5%)

Memory: 62.9MiB live, 1 453.0MiB allocated
Compiler: Compiled 231 888 to 5 837 computations (97.5% saved)

prune594.0ms (5.6%)

Memory

-36.6MiB live, 786.6MiB allocated

Pruning

36 alts after pruning (34 fresh and 2 done)

	Pruned	Kept	Total
New	4 103	31	4 134
Fresh	8	3	11
Picked	3	2	5
Done	0	0	0
Total	4 114	36	4 150

Accuracy

100.0%

Counts

4 150 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.8%	(fma.f64 (.f64 x (.f64 x (cos.f64 y))) (/.f64 (cos.f64 y) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
✓	99.8%	(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
	63.5%	(fma.f64 (cos.f64 y) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
	78.3%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (neg.f64 (*.f64 z (sin.f64 y))))
	79.5%	(fma.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(approx (/ ( z z) (+ (* x (cos y)) (* z (sin y)))) (/.f64 z (sin.f64 y))))))
	31.4%	(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
	51.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
	51.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 (.f64 y z) #s(literal 1/6 binary64) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x))
	51.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x y) (neg.f64 z)) x))
	31.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
	31.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))))))
	41.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))
▶	16.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (.f64 z z)) (*.f64 z (sin.f64 y)))))
	31.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
	89.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))))
	93.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x))))
▶	60.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
✓	41.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
	16.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z #s(approx (sin y) (fma.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))))
	16.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))))
	16.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z)))))
	16.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))))
▶	16.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
	50.4%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)))
▶	47.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
	44.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
	41.4%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
	16.2%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (neg (* z (sin y))) (.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
	28.5%	#s(approx (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (/ 1 (+ 0 (* z (sin y))))) (* x (cos y))) (.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (neg.f64 (sin.f64 y)))))
	74.4%	#s(approx (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (/ 1 (+ 0 (* z (sin y))))) (* x (cos y))) (.f64 x (fma.f64 (neg.f64 z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (.f64 x (sin.f64 y))) (cos.f64 y))))
	58.4%	#s(approx (+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (.f64 z (-.f64 (.f64 z (-.f64 (fma.f64 z (fma.f64 (sin.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))) (.f64 x (cos.f64 y)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (cos.f64 y))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))) (/.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))))
	60.1%	#s(approx (+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
	51.1%	#s(approx (+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (-.f64 (/.f64 (.f64 (.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))))
	99.2%	#s(approx (+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (-.f64 (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
	28.5%	#s(approx (+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))))

Compiler

Compiled 1 511 to 818 computations (45.9% saved)

simplify199.0ms (1.9%)

Memory

22.8MiB live, 141.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (.f64 z z)) (*.f64 z (sin.f64 y)))))
cost-diff	128	(.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (.f64 z z)) (*.f64 z (sin.f64 y))))
cost-diff	640	(/.f64 (neg.f64 (.f64 z z)) (.f64 z (sin.f64 y)))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 x (cos.f64 y))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
cost-diff	0	(fma.f64 y (/.f64 z x) #s(literal -1 binary64))
cost-diff	0	#s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
cost-diff	1024	(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
cost-diff	0	(*.f64 y z)
cost-diff	0	#s(approx (* z (sin y)) (*.f64 y z))
cost-diff	0	(neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
cost-diff	0	(*.f64 x (cos.f64 y))
cost-diff	0	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))

Rules

5 228×	`lower-fma.f32`
5 224×	`lower-fma.f64`
3 576×	`lower-*.f32`
3 564×	`lower-*.f64`
1 422×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	260
0	64	252
1	106	252
2	229	240
3	770	240
4	2827	240
5	5279	232
0	8120	230

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
(neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))
#s(approx (* z (sin y)) (*.f64 y z))
(*.f64 y z)
y
z
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 y (/.f64 z x) #s(literal -1 binary64))
y
(/.f64 z x)
z
x
#s(literal -1 binary64)
(neg.f64 x)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (.f64 z z)) (*.f64 z (sin.f64 y)))))
(.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (.f64 z z)) (*.f64 z (sin.f64 y))))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(/.f64 (neg.f64 (.f64 z z)) (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z z))
(*.f64 z z)
z
(*.f64 z (sin.f64 y))
(sin.f64 y)

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
(neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))
#s(approx (* z (sin y)) (*.f64 y z))
(*.f64 y z)
y
z
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (-.f64 x (*.f64 y z))))
#s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))
#s(approx (- x (* z y)) (-.f64 x (*.f64 y z)))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(-.f64 x (*.f64 y z))
(fma.f64 y (/.f64 z x) #s(literal -1 binary64))
y
(/.f64 z x)
z
x
#s(literal -1 binary64)
(neg.f64 x)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (.f64 z z)) (*.f64 z (sin.f64 y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (sin.f64 y)))
(.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (.f64 z z)) (*.f64 z (sin.f64 y))))
(/.f64 (*.f64 z (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (sin.f64 y))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(/.f64 (neg.f64 (.f64 z z)) (.f64 z (sin.f64 y)))
(/.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 (*.f64 z z))
(*.f64 z (neg.f64 z))
(*.f64 z z)
z
(*.f64 z (sin.f64 y))
(sin.f64 y)

localize217.0ms (2.1%)

Memory

-5.8MiB live, 109.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	10.404167903218454	(.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (.f64 z z)) (*.f64 z (sin.f64 y))))
accuracy	14.864630456769055	(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
accuracy	26.929053015782564	(/.f64 (neg.f64 (.f64 z z)) (.f64 z (sin.f64 y)))
accuracy	37.12475830935756	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (.f64 z z)) (*.f64 z (sin.f64 y)))))
accuracy	0	(cos.f64 y)
accuracy	0.1015625	(*.f64 x (cos.f64 y))
accuracy	25.352472664865758	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
accuracy	0	#s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))
accuracy	1.755095841234041	(fma.f64 y (/.f64 z x) #s(literal -1 binary64))
accuracy	4.765879393958775	(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
accuracy	30.75583393230882	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
accuracy	0	(*.f64 y z)
accuracy	0	(neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))
accuracy	31.261136062155146	#s(approx (* z (sin y)) (*.f64 y z))
accuracy	37.12475830935756	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
accuracy	0.1015625	(*.f64 x (cos.f64 y))
accuracy	0.10546875	(*.f64 z (sin.f64 y))
accuracy	0.13671875	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
accuracy	0.22265625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))

Samples

112.0ms	84×	2	valid
38.0ms	132×	0	valid
17.0ms	9×	3	valid
12.0ms	31×	1	valid

Compiler

Compiled 199 to 33 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 131.0ms

ival-div: 50.0ms (38.1% of total)

ival-cos: 27.0ms (20.6% of total)

ival-mult: 18.0ms (13.7% of total)

ival-add: 14.0ms (10.7% of total)

adjust: 10.0ms (7.6% of total)

ival-sin: 5.0ms (3.8% of total)

ival-sub: 3.0ms (2.3% of total)

ival-neg: 3.0ms (2.3% of total)

exact: 1.0ms (0.8% of total)

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

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

series48.0ms (0.5%)

Memory

-25.9MiB live, 20.3MiB allocated

Counts

19 → 552

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))>
#<alt (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))>
#<alt (neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))>
#<alt #s(approx (* z (sin y)) (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))>
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))>
#<alt #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))>
#<alt (fma.f64 y (/.f64 z x) #s(literal -1 binary64))>
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))>
#<alt (cos.f64 y)>
#<alt (/.f64 (neg.f64 (.f64 z z)) (.f64 z (sin.f64 y)))>
#<alt (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (.f64 z z)) (*.f64 z (sin.f64 y))))>
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (.f64 z z)) (*.f64 z (sin.f64 y)))))>
#<alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))>
#<alt (*.f64 z (sin.f64 y))>

Outputs
#<alt (* -1 (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))>
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (/ -1 (* z (sin y)))>
#<alt (- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))>
#<alt (- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))>
#<alt (- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)>
#<alt (/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)>
#<alt (/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)>
#<alt (/ 1 (* x (cos y)))>
#<alt (* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ (* y z) (pow x 2)))>
#<alt (+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))>
#<alt (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (* x (cos y)))>
#<alt (+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))>
#<alt (+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))>
#<alt (+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))>
#<alt (/ -1 (* z (sin y)))>
#<alt (/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)>
#<alt (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)>
#<alt (/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)>
#<alt (/ -1 (* z (sin y)))>
#<alt (* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))>
#<alt (* -1 (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))>
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
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#<alt (+ 1/2 (* -1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>

Calls

138 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(/ 1 (- (* x (cos y)) (* z (sin y))))
1.0ms	z	@	0	(* (+ (* (cos (+ y y)) -1/2) 1/2) (/ (neg (* z z)) (* z (sin y))))
1.0ms	y	@	-inf	(* (+ (* (cos (+ y y)) -1/2) 1/2) (/ (neg (* z z)) (* z (sin y))))
1.0ms	y	@	inf	(* (+ (* (cos (+ y y)) -1/2) 1/2) (/ (neg (* z z)) (* z (sin y))))
1.0ms	y	@	0	(* (+ (* (cos (+ y y)) -1/2) 1/2) (/ (neg (* z z)) (* z (sin y))))

simplify451.0ms (4.3%)

Memory

40.9MiB live, 271.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 062×	`lower-*.f64`
7 062×	`lower-*.f32`
6 876×	`lower-fma.f64`
6 876×	`lower-fma.f32`
2 146×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	435	4873
1	1427	4755
2	4801	4731
0	8401	4578

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 537

Calls

Call 1

Inputs
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(/ -1 (* z (sin y)))
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(/ 1 (* x (cos y)))
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(/ 1 (* x (cos y)))
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(/ 1 x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (* x (cos y)))
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(/ -1 (* z (sin y)))
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(/ -1 (* z (sin y)))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* y z))
(* y (- (* 1/6 (* (pow y 2) z)) z))
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* y (+ (* -1 z) (/ x y)))
(* y (+ (* -1 z) (/ x y)))
(* y (+ (* -1 z) (/ x y)))
(* -1 (* y z))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 (* y (+ z (* -1 (/ x y)))))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 y) (/ x z)))
(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* y z))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
x
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* y z))
(- x (* y z))
(- x (* y z))
(- x (* y z))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
x
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* -1 (* y z))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* -1 (* y z))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
-1
(- (/ (* y z) x) 1)
(- (/ (* y z) x) 1)
(- (/ (* y z) x) 1)
(/ (* y z) x)
(* y (- (/ z x) (/ 1 y)))
(* y (- (/ z x) (/ 1 y)))
(* y (- (/ z x) (/ 1 y)))
(/ (* y z) x)
(* -1 (* y (+ (* -1 (/ z x)) (/ 1 y))))
(* -1 (* y (+ (* -1 (/ z x)) (/ 1 y))))
(* -1 (* y (+ (* -1 (/ z x)) (/ 1 y))))
-1
(- (/ (* y z) x) 1)
(- (/ (* y z) x) 1)
(- (/ (* y z) x) 1)
(/ (* y z) x)
(* z (- (/ y x) (/ 1 z)))
(* z (- (/ y x) (/ 1 z)))
(* z (- (/ y x) (/ 1 z)))
(/ (* y z) x)
(* -1 (* z (+ (* -1 (/ y x)) (/ 1 z))))
(* -1 (* z (+ (* -1 (/ y x)) (/ 1 z))))
(* -1 (* z (+ (* -1 (/ y x)) (/ 1 z))))
(/ (* y z) x)
(/ (+ (* -1 x) (* y z)) x)
(/ (+ (* -1 x) (* y z)) x)
(/ (+ (* -1 x) (* y z)) x)
-1
(- (/ (* y z) x) 1)
(- (/ (* y z) x) 1)
(- (/ (* y z) x) 1)
-1
(- (/ (* y z) x) 1)
(- (/ (* y z) x) 1)
(- (/ (* y z) x) 1)
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* -1 (/ z (sin y)))
(* -1 (/ z (sin y)))
(* -1 (/ z (sin y)))
(* -1 (/ z (sin y)))
(* -1 (/ z (sin y)))
(* -1 (/ z (sin y)))
(* -1 (/ z (sin y)))
(* -1 (/ z (sin y)))
(* -1 (/ z (sin y)))
(* -1 (/ z (sin y)))
(* -1 (/ z (sin y)))
(* -1 (/ z (sin y)))
(* -1 (/ z y))
(/ (+ (* -1 z) (* -1/6 (* (pow y 2) z))) y)
(/ (+ (* -1 z) (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/36 z) (* 1/120 z)))))) y)
(/ (+ (* -1 z) (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/36 z) (+ (* 1/120 z) (* (pow y 2) (+ (* -1/5040 z) (+ (* 1/720 z) (* 1/6 (+ (* -1/36 z) (* 1/120 z)))))))))))) y)
(* -1 (/ z (sin y)))
(* -1 (/ z (sin y)))
(* -1 (/ z (sin y)))
(* -1 (/ z (sin y)))
(* -1 (/ z (sin y)))
(* -1 (/ z (sin y)))
(* -1 (/ z (sin y)))
(* -1 (/ z (sin y)))
(* -1 (* y z))
(* y (+ (* -1 z) (* -1 (* (pow y 2) (- (* -1/3 z) (* -1/6 z))))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z))))) (* -1 (- (* -1/3 z) (* -1/6 z)))))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (- (* -1/3 z) (* -1/6 z))) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* -1/315 z) (+ (* -1/6 (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z)))) (+ (* -1/5040 z) (* 1/120 (- (* -1/3 z) (* -1/6 z)))))))) (* -1 (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z))))))))))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (neg (* -2 y)))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(+ 1/2 (* -1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 y)))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))

Outputs
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(-.f64 (/.f64 #s(literal -1 binary64) (.f64 z (sin.f64 y))) (/.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(fma.f64 x (neg.f64 (fma.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 (.f64 z (.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (cos.f64 y) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (.f64 z (sin.f64 y))))
(- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(fma.f64 x (fma.f64 x (neg.f64 (fma.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 (.f64 z (.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (/.f64 (cos.f64 y) (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 z (neg.f64 z))))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/.f64 (fma.f64 (sin.f64 y) (/.f64 z (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/.f64 (fma.f64 z (/.f64 (sin.f64 y) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 z z) (.f64 x (.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 y)))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(/.f64 (fma.f64 (.f64 z (.f64 z z)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (.f64 (.f64 x x) (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) (fma.f64 z (/.f64 (sin.f64 y) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 z z) (.f64 x (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 y))))) x)
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x))
(/.f64 (fma.f64 (sin.f64 y) (/.f64 z (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(/.f64 (fma.f64 z (/.f64 (sin.f64 y) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 z z) (.f64 x (.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 y)))) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(/.f64 (+.f64 (/.f64 (fma.f64 z (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 (.f64 z (.f64 z z)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) x)) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(fma.f64 y (fma.f64 y (fma.f64 z (/.f64 z (.f64 x (.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(fma.f64 y (fma.f64 y (fma.f64 (fma.f64 (fma.f64 z (/.f64 z (.f64 x (.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 (/.f64 z x)) (.f64 (/.f64 z (.f64 x x)) #s(literal -1/3 binary64))) (neg.f64 y) (fma.f64 z (/.f64 z (.f64 x (.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))
(fma.f64 z (/.f64 (sin.f64 y) (.f64 x (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(fma.f64 z (fma.f64 z (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 x (.f64 x x)))) (/.f64 (sin.f64 y) (.f64 x (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 x (cos.f64 y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(fma.f64 z (fma.f64 z (fma.f64 z (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 x (.f64 x x))))) (/.f64 (sin.f64 y) (.f64 x (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(-.f64 (/.f64 #s(literal -1 binary64) (.f64 z (sin.f64 y))) (/.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/.f64 (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 x x) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(/.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 z (.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (fma.f64 x (/.f64 (cos.f64 y) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 x x) (.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y)))))) z)
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
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(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y))))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y))))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y))))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y))))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y))))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y))))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y))))
(* -1 (/ (* z (+ 1/2 (* -1/2 (cos (* 2 y))))) (sin y)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y))))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* y z)
(*.f64 z y)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(.f64 y (fma.f64 z (.f64 (*.f64 y y) #s(literal -1/6 binary64)) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(.f64 y (fma.f64 y (.f64 y (fma.f64 z #s(literal -1/6 binary64) (.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))) z))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))

rewrite243.0ms (2.3%)

Memory

-23.8MiB live, 93.6MiB allocated

Rules

802×	`lower-*.f32`
790×	`lower-*.f64`
572×	`lower-/.f32`
564×	`lower-/.f64`
490×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	211
0	64	207
1	193	207
0	1258	207

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

19 → 251

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
(neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))
#s(approx (* z (sin y)) (*.f64 y z))
(*.f64 y z)
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))
(fma.f64 y (/.f64 z x) #s(literal -1 binary64))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
(cos.f64 y)
(/.f64 (neg.f64 (.f64 z z)) (.f64 z (sin.f64 y)))
(.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (.f64 z z)) (*.f64 z (sin.f64 y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (.f64 z z)) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(*.f64 z (sin.f64 y))

Outputs
(+.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
(+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (.f64 x (cos.f64 y)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x (cos.f64 y))) (.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) (neg.f64 z))))
(+.f64 (.f64 (.f64 x (cos.f64 y)) #s(literal 1 binary64)) (.f64 (.f64 (sin.f64 y) (neg.f64 z)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) #s(literal -1 binary64)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (/.f64 (.f64 x (cos.f64 y)) #s(literal 1 binary64)) (/.f64 (.f64 z (sin.f64 y)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (/.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
(fma.f64 #s(literal 1 binary64) (.f64 x (cos.f64 y)) (.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 z))))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (.f64 x (cos.f64 y)) #s(literal 1 binary64) (.f64 (*.f64 (sin.f64 y) (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(fma.f64 #s(literal -1 binary64) (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 x (cos.f64 y)))
(neg.f64 (neg.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x)) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(/.f64 (neg.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x)) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x)) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x)) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) (neg.f64 z)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (-.f64 (.f64 (.f64 (sin.f64 y) (neg.f64 z)) (.f64 (sin.f64 y) (neg.f64 z))) (.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z))))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x)) (.f64 (.f64 (sin.f64 y) (neg.f64 z)) (.f64 (sin.f64 y) (neg.f64 z)))) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x)) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64))
(pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
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(/.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (cos.f64 (+.f64 y y)) #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))))
(.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/4 binary64))))))
(.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)

eval251.0ms (2.4%)

Memory: 28.0MiB live, 215.2MiB allocated
Compiler: Compiled 13 274 to 959 computations (92.8% saved)

prune90.0ms (0.9%)

Memory

4.6MiB live, 179.5MiB allocated

Pruning

40 alts after pruning (34 fresh and 6 done)

	Pruned	Kept	Total
New	830	22	852
Fresh	17	12	29
Picked	1	4	5
Done	0	2	2
Total	848	40	888

Accuracy

100.0%

Counts

888 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.8%	(fma.f64 (.f64 x (.f64 x (cos.f64 y))) (/.f64 (cos.f64 y) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
✓	99.8%	(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
	63.5%	(fma.f64 (cos.f64 y) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
	78.3%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (neg.f64 (*.f64 z (sin.f64 y))))
	51.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))))
	51.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))))
	60.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
	34.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
	59.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 (fma.f64 (sin.f64 y) (/.f64 z (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)))
	39.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
	41.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
	43.7%	(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal -1/2 binary64)))
	51.4%	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
▶	89.2%	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))))
▶	93.1%	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x))))
	51.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
	31.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
✓	16.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (.f64 z z)) (*.f64 z (sin.f64 y)))))
	27.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 (neg.f64 z) (/.f64 z (*.f64 z (sin.f64 y))))))
	28.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(approx (/ (neg ( z z)) (* z (sin y))) (neg.f64 (/.f64 z (sin.f64 y))))))
✓	60.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
▶	38.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	38.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	38.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
▶	39.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
✓	41.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
	16.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z #s(approx (sin y) (fma.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))))
▶	16.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z)))))
	16.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z)))))
✓	16.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
	50.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x))))
✓	47.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
	44.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
	41.4%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
	16.2%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (+ (* (cos (+ y y)) -1/2) 1/2) (/ (neg (* z z)) (* z (sin y)))) (.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
	38.2%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 y (.f64 y #s(literal -1/720 binary64))))) (.f64 x #s(literal -1/2 binary64))) x)))
	38.2%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (.f64 x #s(literal 1/24 binary64))) (.f64 x #s(literal -1/2 binary64))) x)))
	28.5%	#s(approx (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (/ 1 (+ 0 (* z (sin y))))) (* x (cos y))) (.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (neg.f64 (sin.f64 y)))))
	60.1%	#s(approx (+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
	51.1%	#s(approx (+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (-.f64 (/.f64 (.f64 (.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))))

Compiler

Compiled 1 265 to 736 computations (41.8% saved)

simplify218.0ms (2.1%)

Memory

6.6MiB live, 355.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x (/.f64 (cos.f64 y) z))
cost-diff	0	(-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))
cost-diff	0	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))))
cost-diff	704	(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
cost-diff	0	(fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	(.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
cost-diff	0	(.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z))
cost-diff	0	#s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z)))
cost-diff	0	(neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z))))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z)))))
cost-diff	0	#s(approx (cos y) #s(literal 1 binary64))
cost-diff	0	(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
cost-diff	0	(cos.f64 y)
cost-diff	0	(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
cost-diff	0	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x))))
cost-diff	704	(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))

Rules

6 244×	`lower-fma.f32`
6 236×	`lower-fma.f64`
3 844×	`lower-*.f32`
3 822×	`lower-*.f64`
1 940×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	362
0	74	350
1	139	350
2	284	346
3	648	346
4	1245	342
5	2159	342
6	2924	342
7	5376	342
0	8202	338

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x))))
(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
x
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(cos.f64 y)
y
(/.f64 (*.f64 z (sin.f64 y)) x)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z)))))
(neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z))))
#s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z)))
(.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z))
y
(fma.f64 (.f64 z (.f64 y y)) #s(literal -1/6 binary64) z)
(.f64 z (.f64 y y))
z
(*.f64 y y)
#s(literal -1/6 binary64)
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
x
#s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 y y)
y
(fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))
(.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))
(fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(*.f64 y #s(literal -1/720 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))))
(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
z
(-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))
(*.f64 x (/.f64 (cos.f64 y) z))
x
(/.f64 (cos.f64 y) z)
(cos.f64 y)
y
(sin.f64 y)

Outputs
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
x
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(cos.f64 y)
y
(/.f64 (*.f64 z (sin.f64 y)) x)
(*.f64 z (/.f64 (sin.f64 y) x))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z)))))
(neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z))))
(neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))))
#s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z)))
#s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z)))
(.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z))
(.f64 y (fma.f64 (.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z))
y
(fma.f64 (.f64 z (.f64 y y)) #s(literal -1/6 binary64) z)
(fma.f64 (.f64 y y) (.f64 z #s(literal -1/6 binary64)) z)
(.f64 z (.f64 y y))
z
(*.f64 y y)
#s(literal -1/6 binary64)
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 x #s(approx (cos y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
x
#s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (cos y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 y y)
y
(fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))
(fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(*.f64 y #s(literal -1/720 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
z
(-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))
(-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))
(*.f64 x (/.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) (/.f64 x z))
x
(/.f64 (cos.f64 y) z)
(cos.f64 y)
y
(sin.f64 y)

localize139.0ms (1.3%)

Memory

-14.0MiB live, 355.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))
accuracy	0.1015625	(/.f64 (cos.f64 y) z)
accuracy	0.1640625	(*.f64 x (/.f64 (cos.f64 y) z))
accuracy	6.880642430440255	(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
accuracy	0.25	(.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))
accuracy	0.25390625	(*.f64 y #s(literal -1/720 binary64))
accuracy	25.352472664865758	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
accuracy	31.30407767207546	#s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
accuracy	0.078125	(fma.f64 (.f64 z (.f64 y y)) #s(literal -1/6 binary64) z)
accuracy	7.8221515254527105	(.f64 z (.f64 y y))
accuracy	31.14390242694845	#s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z)))
accuracy	37.12475830935756	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z)))))
accuracy	0.1015625	(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
accuracy	25.352472664865758	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
accuracy	28.524756037180072	#s(approx (cos y) #s(literal 1 binary64))
accuracy	0.00390625	(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
accuracy	0.10546875	(*.f64 z (sin.f64 y))
accuracy	3.208193735460224	(/.f64 (*.f64 z (sin.f64 y)) x)
accuracy	4.437261822813839	(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))

Samples

89.0ms

256×

valid

Compiler

Compiled 243 to 38 computations (84.4% saved)

Precisions

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

ival-mult: 23.0ms (35.6% of total)

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

const: 10.0ms (15.5% of total)

ival-cos: 7.0ms (10.8% of total)

ival-add: 5.0ms (7.7% of total)

ival-sin: 5.0ms (7.7% of total)

ival-sub: 3.0ms (4.6% of total)

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

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

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

exact: 0.0ms (0% of total)

series47.0ms (0.4%)

Memory

6.6MiB live, 121.1MiB allocated

Counts

26 → 684

Calls

Call 1

Inputs
#<alt (.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))>
#<alt #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x))))>
#<alt (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))>
#<alt (cos.f64 y)>
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))>
#<alt (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))>
#<alt #s(approx (cos y) #s(literal 1 binary64))>
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z)))))>
#<alt (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z))))>
#<alt #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z)))>
#<alt (.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z))>
#<alt #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))>
#<alt (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))>
#<alt #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))>
#<alt (.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))>
#<alt #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))))>
#<alt (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))>
#<alt (*.f64 x (/.f64 (cos.f64 y) z))>
#<alt (/.f64 (*.f64 z (sin.f64 y)) x)>
#<alt (*.f64 z (sin.f64 y))>
#<alt (.f64 z (.f64 y y))>
#<alt (fma.f64 (.f64 z (.f64 y y)) #s(literal -1/6 binary64) z)>
#<alt (*.f64 y #s(literal -1/720 binary64))>
#<alt (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))>
#<alt (/.f64 (cos.f64 y) z)>

Outputs
#<alt (* -1 (* z (sin y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))>
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* y z) x)))>
#<alt (+ 1 (* y (- (* -1/2 y) (/ z x))))>
#<alt (+ 1 (* y (- (* y (- (* 1/6 (/ (* y z) x)) 1/2)) (/ z x))))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (cos y)>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (* -1 (/ (* z (sin y)) x))>
#<alt (* z (- (/ (cos y) z) (/ (sin y) x)))>
#<alt (* z (- (/ (cos y) z) (/ (sin y) x)))>
#<alt (* z (- (/ (cos y) z) (/ (sin y) x)))>
#<alt (* -1 (/ (* z (sin y)) x))>
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (/ (* z (sin y)) x))>
#<alt (/ (- (* x (cos y)) (* z (sin y))) x)>
#<alt (/ (- (* x (cos y)) (* z (sin y))) x)>
#<alt (/ (- (* x (cos y)) (* z (sin y))) x)>
#<alt (cos y)>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (cos y)>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (* -1 (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))>
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (* -1 (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))>
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* y z))>
#<alt (* y (- (* 1/6 (* (pow y 2) z)) z))>
#<alt (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))>
#<alt (* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
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#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
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#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* -1/6 (* (pow y 3) z))>
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#<alt (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))>
#<alt (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))>
#<alt (* -1/6 (* (pow y 3) z))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* y (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))>
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#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))>
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
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#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
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#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
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#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
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#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* x (cos y))>
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#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
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#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (* -1/720 (pow y 6))>
#<alt (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))>
#<alt (* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4)))))>
#<alt (* -1/720 (pow y 6))>
#<alt (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))>
#<alt (* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4)))))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))>
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (/ (* x (cos y)) z)>
#<alt (* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))>
#<alt (* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))>
#<alt (* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))>
#<alt (/ (* x (cos y)) z)>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))>
#<alt (/ x z)>
#<alt (+ (* -1 y) (/ x z))>
#<alt (+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z))>
#<alt (+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)>
#<alt (/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)>
#<alt (/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)>
#<alt (* -1 (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (* -1 (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
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#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ x z)>
#<alt (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))>
#<alt (+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* 1/24 (/ (* x (pow y 2)) z)))) (/ x z))>
#<alt (+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* (pow y 2) (+ (* -1/720 (/ (* x (pow y 2)) z)) (* 1/24 (/ x z)))))) (/ x z))>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
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#<alt (/ (* x (cos y)) z)>
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#<alt (/ (* x (cos y)) z)>
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#<alt (/ (* x (cos y)) z)>
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#<alt (/ (* z (sin y)) x)>
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#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* y z) x)>
#<alt (* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))>
#<alt (* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x)))>
#<alt (* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x)))>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
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#<alt (/ (* z (sin y)) x)>
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#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
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#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
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#<alt (* (pow y 2) z)>
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#<alt (* (pow y 2) z)>
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#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) z)>
#<alt (* z (+ 1 (* -1/6 (pow y 2))))>
#<alt (* z (+ 1 (* -1/6 (pow y 2))))>
#<alt (* z (+ 1 (* -1/6 (pow y 2))))>
#<alt (* z (+ 1 (* -1/6 (pow y 2))))>
#<alt (* z (+ 1 (* -1/6 (pow y 2))))>
#<alt (* z (+ 1 (* -1/6 (pow y 2))))>
#<alt (* z (+ 1 (* -1/6 (pow y 2))))>
#<alt (* z (+ 1 (* -1/6 (pow y 2))))>
#<alt (* -1 (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt z>
#<alt (+ z (* -1/6 (* (pow y 2) z)))>
#<alt (+ z (* -1/6 (* (pow y 2) z)))>
#<alt (+ z (* -1/6 (* (pow y 2) z)))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))>
#<alt (* -1/6 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* 1/24 y)>
#<alt (* y (+ 1/24 (* -1/720 (pow y 2))))>
#<alt (* y (+ 1/24 (* -1/720 (pow y 2))))>
#<alt (* y (+ 1/24 (* -1/720 (pow y 2))))>
#<alt (* -1/720 (pow y 3))>
#<alt (* (pow y 3) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 3) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 3) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* -1/720 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- 1/720 (* 1/24 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 3) (- 1/720 (* 1/24 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 3) (- 1/720 (* 1/24 (/ 1 (pow y 2))))))>
#<alt (/ 1 z)>
#<alt (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))>
#<alt (+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))>
#<alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>
#<alt (/ (cos y) z)>

Calls

171 calls:

Time	Variable		Point	Expression
14.0ms	y	@	inf	(* y (+ (* y (* y -1/720)) 1/24))
2.0ms	y	@	-inf	(* x (- (cos y) (/ (* z (sin y)) x)))
2.0ms	z	@	0	(* x (/ (cos y) z))
1.0ms	z	@	inf	(* y (+ (* (* z (* y y)) -1/6) z))
1.0ms	z	@	0	(* y (+ (* (* z (* y y)) -1/6) z))

simplify349.0ms (3.3%)

Memory

-25.1MiB live, 743.3MiB allocated

Algorithm

1×	egg-herbie

Rules

23 692×	`lower-fma.f64`
23 692×	`lower-fma.f32`
4 654×	`lower-*.f64`
4 654×	`lower-*.f32`
4 276×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	270	5091
1	822	5070
2	2373	4990
3	4702	4970
0	8532	4827

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 674

Calls

Call 1

Inputs
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
1
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* y (- (* -1/2 y) (/ z x))))
(+ 1 (* y (- (* y (- (* 1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(- (cos y) (/ (* z (sin y)) x))
(- (cos y) (/ (* z (sin y)) x))
(- (cos y) (/ (* z (sin y)) x))
(- (cos y) (/ (* z (sin y)) x))
(- (cos y) (/ (* z (sin y)) x))
(- (cos y) (/ (* z (sin y)) x))
(- (cos y) (/ (* z (sin y)) x))
(- (cos y) (/ (* z (sin y)) x))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(* -1 (/ (* z (sin y)) x))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(* -1 (/ (* z (sin y)) x))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (/ (* z (sin y)) x))
(/ (- (* x (cos y)) (* z (sin y))) x)
(/ (- (* x (cos y)) (* z (sin y))) x)
(/ (- (* x (cos y)) (* z (sin y))) x)
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* y z))
(* y (- (* 1/6 (* (pow y 2) z)) z))
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* -1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))
(* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))
(* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))
(* -1/6 (* (pow y 3) z))
(* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* -1/720 (pow y 6))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* -1/720 (pow y 6))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(/ (* x (cos y)) z)
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(/ (* x (cos y)) z)
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(/ x z)
(+ (* -1 y) (/ x z))
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z))
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(/ (* x (cos y)) z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(* -1 (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(* -1 (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ x z)
(+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* 1/24 (/ (* x (pow y 2)) z)))) (/ x z))
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* (pow y 2) (+ (* -1/720 (/ (* x (pow y 2)) z)) (* 1/24 (/ x z)))))) (/ x z))
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* y z) x)
(* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x)))
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* z (+ 1 (* -1/6 (pow y 2))))
(* z (+ 1 (* -1/6 (pow y 2))))
(* z (+ 1 (* -1/6 (pow y 2))))
(* z (+ 1 (* -1/6 (pow y 2))))
(* z (+ 1 (* -1/6 (pow y 2))))
(* z (+ 1 (* -1/6 (pow y 2))))
(* z (+ 1 (* -1/6 (pow y 2))))
(* z (+ 1 (* -1/6 (pow y 2))))
(* -1 (* z (- (* 1/6 (pow y 2)) 1)))
(* -1 (* z (- (* 1/6 (pow y 2)) 1)))
(* -1 (* z (- (* 1/6 (pow y 2)) 1)))
(* -1 (* z (- (* 1/6 (pow y 2)) 1)))
z
(+ z (* -1/6 (* (pow y 2) z)))
(+ z (* -1/6 (* (pow y 2) z)))
(+ z (* -1/6 (* (pow y 2) z)))
(* -1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))
(* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))
(* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))
(* -1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))
(* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))
(* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* 1/24 y)
(* y (+ 1/24 (* -1/720 (pow y 2))))
(* y (+ 1/24 (* -1/720 (pow y 2))))
(* y (+ 1/24 (* -1/720 (pow y 2))))
(* -1/720 (pow y 3))
(* (pow y 3) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 3) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 3) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* -1/720 (pow y 3))
(* -1 (* (pow y 3) (- 1/720 (* 1/24 (/ 1 (pow y 2))))))
(* -1 (* (pow y 3) (- 1/720 (* 1/24 (/ 1 (pow y 2))))))
(* -1 (* (pow y 3) (- 1/720 (* 1/24 (/ 1 (pow y 2))))))
(/ 1 z)
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)

Outputs
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(fma.f64 y (-.f64 (.f64 x (.f64 y #s(literal -1/2 binary64))) z) x)
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(* x (- (cos y) (/ (* z (sin y)) x)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 y (-.f64 (.f64 x (.f64 y #s(literal -1/2 binary64))) z) x)
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* y z) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))
(+ 1 (* y (- (* -1/2 y) (/ z x))))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z (neg.f64 x))) #s(literal 1 binary64))
(+ 1 (* y (- (* y (- (* 1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(fma.f64 y (-.f64 (.f64 y (fma.f64 z (/.f64 (.f64 y #s(literal 1/6 binary64)) x) #s(literal -1/2 binary64))) (/.f64 z x)) #s(literal 1 binary64))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(cos y)
(cos.f64 y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(* -1 (/ (* z (sin y)) x))
(neg.f64 (/.f64 (*.f64 z (sin.f64 y)) x))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(* -1 (/ (* z (sin y)) x))
(neg.f64 (/.f64 (*.f64 z (sin.f64 y)) x))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(* -1 (/ (* z (sin y)) x))
(neg.f64 (/.f64 (*.f64 z (sin.f64 y)) x))
(/ (- (* x (cos y)) (* z (sin y))) x)
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(/ (- (* x (cos y)) (* z (sin y))) x)
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(/ (- (* x (cos y)) (* z (sin y))) x)
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(cos y)
(cos.f64 y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(cos y)
(cos.f64 y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
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(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* y z) x)
(/.f64 (*.f64 z y) x)
(* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))
(.f64 (/.f64 z x) (fma.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x)))
(.f64 y (.f64 (/.f64 z x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x)))
(.f64 y (fma.f64 (.f64 y y) (.f64 (/.f64 (.f64 z (.f64 y y)) x) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 (/.f64 z x) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* y z)
(*.f64 z y)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(.f64 z (fma.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* (pow y 2) z)
(.f64 z (.f64 y y))
(* z (+ 1 (* -1/6 (pow y 2))))
(fma.f64 z (.f64 (.f64 y y) #s(literal -1/6 binary64)) z)
(* z (+ 1 (* -1/6 (pow y 2))))
(fma.f64 z (.f64 (.f64 y y) #s(literal -1/6 binary64)) z)
(* z (+ 1 (* -1/6 (pow y 2))))
(fma.f64 z (.f64 (.f64 y y) #s(literal -1/6 binary64)) z)
(* z (+ 1 (* -1/6 (pow y 2))))
(fma.f64 z (.f64 (.f64 y y) #s(literal -1/6 binary64)) z)
(* z (+ 1 (* -1/6 (pow y 2))))
(fma.f64 z (.f64 (.f64 y y) #s(literal -1/6 binary64)) z)
(* z (+ 1 (* -1/6 (pow y 2))))
(fma.f64 z (.f64 (.f64 y y) #s(literal -1/6 binary64)) z)
(* z (+ 1 (* -1/6 (pow y 2))))
(fma.f64 z (.f64 (.f64 y y) #s(literal -1/6 binary64)) z)
(* z (+ 1 (* -1/6 (pow y 2))))
(fma.f64 z (.f64 (.f64 y y) #s(literal -1/6 binary64)) z)
(* -1 (* z (- (* 1/6 (pow y 2)) 1)))
(fma.f64 z (.f64 (.f64 y y) #s(literal -1/6 binary64)) z)
(* -1 (* z (- (* 1/6 (pow y 2)) 1)))
(fma.f64 z (.f64 (.f64 y y) #s(literal -1/6 binary64)) z)
(* -1 (* z (- (* 1/6 (pow y 2)) 1)))
(fma.f64 z (.f64 (.f64 y y) #s(literal -1/6 binary64)) z)
(* -1 (* z (- (* 1/6 (pow y 2)) 1)))
(fma.f64 z (.f64 (.f64 y y) #s(literal -1/6 binary64)) z)
z
(+ z (* -1/6 (* (pow y 2) z)))
(fma.f64 z (.f64 (.f64 y y) #s(literal -1/6 binary64)) z)
(+ z (* -1/6 (* (pow y 2) z)))
(fma.f64 z (.f64 (.f64 y y) #s(literal -1/6 binary64)) z)
(+ z (* -1/6 (* (pow y 2) z)))
(fma.f64 z (.f64 (.f64 y y) #s(literal -1/6 binary64)) z)
(* -1/6 (* (pow y 2) z))
(.f64 z (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))
(fma.f64 z (.f64 (.f64 y y) #s(literal -1/6 binary64)) z)
(* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))
(fma.f64 z (.f64 (.f64 y y) #s(literal -1/6 binary64)) z)
(* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))
(fma.f64 z (.f64 (.f64 y y) #s(literal -1/6 binary64)) z)
(* -1/6 (* (pow y 2) z))
(.f64 z (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))
(fma.f64 z (.f64 (.f64 y y) #s(literal -1/6 binary64)) z)
(* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))
(fma.f64 z (.f64 (.f64 y y) #s(literal -1/6 binary64)) z)
(* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2))))
(fma.f64 z (.f64 (.f64 y y) #s(literal -1/6 binary64)) z)
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* -1/720 y)
(*.f64 y #s(literal -1/720 binary64))
(* 1/24 y)
(*.f64 y #s(literal 1/24 binary64))
(* y (+ 1/24 (* -1/720 (pow y 2))))
(.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))
(* y (+ 1/24 (* -1/720 (pow y 2))))
(.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))
(* y (+ 1/24 (* -1/720 (pow y 2))))
(.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))
(* -1/720 (pow y 3))
(.f64 #s(literal -1/720 binary64) (.f64 y (*.f64 y y)))
(* (pow y 3) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 y y))))
(* (pow y 3) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 y y))))
(* (pow y 3) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 y y))))
(* -1/720 (pow y 3))
(.f64 #s(literal -1/720 binary64) (.f64 y (*.f64 y y)))
(* -1 (* (pow y 3) (- 1/720 (* 1/24 (/ 1 (pow y 2))))))
(.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 y y))))
(* -1 (* (pow y 3) (- 1/720 (* 1/24 (/ 1 (pow y 2))))))
(.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 y y))))
(* -1 (* (pow y 3) (- 1/720 (* 1/24 (/ 1 (pow y 2))))))
(.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 y y))))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))
(fma.f64 y (/.f64 (*.f64 y #s(literal -1/2 binary64)) z) (/.f64 #s(literal 1 binary64) z))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))
(fma.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))
(fma.f64 (.f64 y y) (fma.f64 (/.f64 (.f64 y y) z) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (/.f64 #s(literal -1/2 binary64) z)) (/.f64 #s(literal 1 binary64) z))
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)

rewrite292.0ms (2.8%)

Memory

13.9MiB live, 490.1MiB allocated

Rules

5 766×	`lower-fma.f32`
5 758×	`lower-fma.f64`
4 424×	`lower-*.f32`
4 402×	`lower-*.f64`
4 156×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	316
0	74	308
1	255	308
2	1707	308
0	8281	308

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

26 → 456

Calls

Call 1

Inputs
(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x))))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(cos.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
#s(approx (cos y) #s(literal 1 binary64))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z)))))
(neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z))))
#s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z)))
(.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))))
(-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))
(*.f64 x (/.f64 (cos.f64 y) z))
(/.f64 (*.f64 z (sin.f64 y)) x)
(*.f64 z (sin.f64 y))
(.f64 z (.f64 y y))
(fma.f64 (.f64 z (.f64 y y)) #s(literal -1/6 binary64) z)
(*.f64 y #s(literal -1/720 binary64))
(.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))
(/.f64 (cos.f64 y) z)

Outputs
(+.f64 (.f64 x (cos.f64 y)) (.f64 x (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x))))
(+.f64 (.f64 x (cos.f64 y)) (.f64 (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)) x))
(fma.f64 x (cos.f64 y) (.f64 x (/.f64 (.f64 z (sin.f64 y)) (neg.f64 x))))
(fma.f64 x (cos.f64 y) (.f64 (/.f64 (.f64 z (sin.f64 y)) (neg.f64 x)) x))
(fma.f64 (cos.f64 y) x (.f64 x (/.f64 (.f64 z (sin.f64 y)) (neg.f64 x))))
(fma.f64 (cos.f64 y) x (.f64 (/.f64 (.f64 z (sin.f64 y)) (neg.f64 x)) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 x (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z (sin.f64 y)) x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z (sin.f64 y)) x) #s(literal 3 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 x x))) x)))
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(.f64 (.f64 y (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/576 binary64)) (.f64 (.f64 y y) #s(literal -1/17280 binary64)))))
(.f64 (.f64 y (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 y y) (.f64 y y)) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64))))
(.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/576 binary64)) (.f64 (.f64 y y) #s(literal -1/17280 binary64)))))
(.f64 (.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 y y) (.f64 y y)) #s(literal -1/576 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 z (cos.f64 y))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (cos.f64 y) (neg.f64 z)))
(neg.f64 (/.f64 (cos.f64 y) (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 (cos.f64 y)) z))
(/.f64 (cos.f64 y) z)
(/.f64 (cos.f64 y) (*.f64 z #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (cos.f64 y))))
(/.f64 (neg.f64 (cos.f64 y)) (neg.f64 z))
(/.f64 (neg.f64 (neg.f64 (cos.f64 y))) (neg.f64 (neg.f64 z)))
(/.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) z)
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 y)))) (neg.f64 (neg.f64 (neg.f64 z))))
(/.f64 (neg.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64))) (neg.f64 z))
(pow.f64 (/.f64 z (cos.f64 y)) #s(literal -1 binary64))
(*.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) z))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 z (cos.f64 y)))))
(*.f64 (neg.f64 (cos.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 (cos.f64 y))) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 (cos.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))

eval140.0ms (1.3%)

Memory: 10.2MiB live, 361.9MiB allocated
Compiler: Compiled 24 275 to 1 817 computations (92.5% saved)

prune133.0ms (1.3%)

Memory

-4.5MiB live, 325.6MiB allocated

Pruning

48 alts after pruning (38 fresh and 10 done)

	Pruned	Kept	Total
New	1 128	15	1 143
Fresh	6	23	29
Picked	1	4	5
Done	0	6	6
Total	1 135	48	1 183

Accuracy

100.0%

Counts

1 183 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.8%	(fma.f64 (.f64 x (.f64 x (cos.f64 y))) (/.f64 (cos.f64 y) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
✓	99.8%	(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
	63.5%	(fma.f64 (cos.f64 y) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
	78.3%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (neg.f64 (*.f64 z (sin.f64 y))))
	51.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))))
	51.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))))
	60.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
	34.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
	39.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
	41.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
	51.4%	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
	89.2%	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 z (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y)))))
	89.2%	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 z (fma.f64 (cos.f64 y) (.f64 (/.f64 #s(literal 1 binary64) z) x) (neg.f64 (sin.f64 y)))))
✓	89.2%	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))))
	71.3%	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 z (-.f64 #s(approx ( x (/ (cos y) z)) (/.f64 x z)) (sin.f64 y))))
	32.7%	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 z #s(approx (- ( x (/ (cos y) z)) (sin y)) (/.f64 x z))))
	93.0%	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x (-.f64 (cos.f64 y) (.f64 (/.f64 (sin.f64 y) x) z))))
	35.2%	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) (/ ( z (sin y)) x)) (neg.f64 (/.f64 (*.f64 z (sin.f64 y)) x)))))
	51.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
	31.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
✓	16.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (.f64 z z)) (*.f64 z (sin.f64 y)))))
	27.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 (neg.f64 z) (/.f64 z (*.f64 z (sin.f64 y))))))
	28.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(approx (/ (neg ( z z)) (* z (sin y))) (neg.f64 (/.f64 z (sin.f64 y))))))
✓	60.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
	37.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64)) (.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 y y) (*.f64 y y)) #s(literal -1/576 binary64)) y))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
✓	38.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	38.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	38.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y #s(approx (* y (+ (* y (* y -1/720)) 1/24)) (.f64 #s(literal -1/720 binary64) (.f64 y (*.f64 y y)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	38.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	38.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (+.f64 (.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))
✓	39.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
✓	41.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
	15.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (fma.f64 (.f64 y (.f64 z (.f64 y y))) #s(literal -1/6 binary64) (.f64 y z)))))
✓	16.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z)))))
	16.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z)))))
	16.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z)))))
	10.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (/.f64 (-.f64 (.f64 (.f64 (.f64 z (.f64 y y)) (.f64 z (.f64 y y))) #s(literal 1/36 binary64)) (.f64 z z)) (-.f64 (.f64 z (.f64 (*.f64 y y) #s(literal -1/6 binary64))) z))))))
✓	16.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
	50.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x))))
✓	47.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
	41.4%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
	16.2%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (+ (* (cos (+ y y)) -1/2) 1/2) (/ (neg (* z z)) (* z (sin y)))) (.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
	38.2%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 x (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)))
	38.2%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (.f64 x #s(literal 1/24 binary64))) (.f64 x #s(literal -1/2 binary64))) x)))
	38.2%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (.f64 x (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x)))
	16.2%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (neg (* z (sin y))) (.f64 z (.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
	60.1%	#s(approx (+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
	51.1%	#s(approx (+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (-.f64 (/.f64 (.f64 (.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))))

Compiler

Compiled 2 321 to 795 computations (65.7% saved)

regimes100.0ms (0.9%)

Memory

8.7MiB live, 206.5MiB allocated

Counts

85 → 1

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 z #s(approx (- ( x (/ (cos y) z)) (sin y)) (/.f64 x z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x y) (neg.f64 z)) x))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (neg (* z (sin y))) (.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (neg (* z (sin y))) (.f64 z (.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (+ (* (cos (+ y y)) -1/2) 1/2) (/ (neg (* z z)) (* z (sin y)))) (.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z #s(approx (sin y) (fma.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (.f64 x (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (fma.f64 (.f64 y (.f64 z (.f64 y y))) #s(literal -1/6 binary64) (.f64 y z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 y (fma.f64 y (fma.f64 (.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 (.f64 y z) #s(literal 1/6 binary64) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (.f64 x #s(literal 1/24 binary64))) (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y #s(approx (* y (+ (* y (* y -1/720)) 1/24)) (.f64 #s(literal -1/720 binary64) (.f64 y (*.f64 y y)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (+.f64 (.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 x (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 y (.f64 y #s(literal -1/720 binary64))))) (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (/.f64 (-.f64 (.f64 (.f64 (.f64 z (.f64 y y)) (.f64 z (.f64 y y))) #s(literal 1/36 binary64)) (.f64 z z)) (-.f64 (.f64 z (.f64 (*.f64 y y) #s(literal -1/6 binary64))) z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64)) (.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 y y) (*.f64 y y)) #s(literal -1/576 binary64)) y))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) #s(approx ( z (sin y)) (*.f64 z y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (neg.f64 (*.f64 z (sin.f64 y))))
(fma.f64 (cos.f64 y) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 z (-.f64 #s(approx ( x (/ (cos y) z)) (/.f64 x z)) (sin.f64 y))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) (/ ( z (sin y)) x)) (neg.f64 (/.f64 (*.f64 z (sin.f64 y)) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x (-.f64 (cos.f64 y) (.f64 (/.f64 (sin.f64 y) x) z))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 z (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y)))))
#s(approx (+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(approx (/ (neg ( z z)) (* z (sin y))) (neg.f64 (/.f64 z (sin.f64 y))))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 z (fma.f64 (cos.f64 y) (.f64 (/.f64 #s(literal 1 binary64) z) x) (neg.f64 (sin.f64 y)))))
#s(approx (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (/ 1 (+ 0 (* z (sin y))))) (* x (cos y))) (.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (neg.f64 (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 (neg.f64 z) (/.f64 z (*.f64 z (sin.f64 y))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (.f64 z z)) (*.f64 z (sin.f64 y)))))
#s(approx (+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))))
#s(approx (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (/ 1 (+ 0 (* z (sin y))))) (* x (cos y))) (.f64 x (fma.f64 (neg.f64 z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (.f64 x (sin.f64 y))) (cos.f64 y))))
(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 (fma.f64 (sin.f64 y) (/.f64 z (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
(.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(fma.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(approx (/ ( z z) (+ (* x (cos y)) (* z (sin y)))) (/.f64 z (sin.f64 y))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal -1/2 binary64)))
#s(approx (+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (-.f64 (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
#s(approx (+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (-.f64 (/.f64 (.f64 (.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))))
(fma.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(fma.f64 (.f64 x (.f64 x (cos.f64 y))) (/.f64 (cos.f64 y) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
#s(approx (+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (.f64 z (-.f64 (.f64 z (-.f64 (fma.f64 z (fma.f64 (sin.f64 y) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))) (.f64 x (cos.f64 y)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (cos.f64 y))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))) (/.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))))

Outputs
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))

Calls

4 calls:

26.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
24.0ms	x
23.0ms	z
23.0ms	y

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes90.0ms (0.9%)

Memory

-20.4MiB live, 94.9MiB allocated

Counts

55 → 1

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 z #s(approx (- ( x (/ (cos y) z)) (sin y)) (/.f64 x z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x y) (neg.f64 z)) x))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (neg (* z (sin y))) (.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (neg (* z (sin y))) (.f64 z (.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (+ (* (cos (+ y y)) -1/2) 1/2) (/ (neg (* z z)) (* z (sin y)))) (.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z #s(approx (sin y) (fma.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (.f64 x (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (fma.f64 (.f64 y (.f64 z (.f64 y y))) #s(literal -1/6 binary64) (.f64 y z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 y (fma.f64 y (fma.f64 (.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 (.f64 y z) #s(literal 1/6 binary64) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (.f64 x #s(literal 1/24 binary64))) (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y #s(approx (* y (+ (* y (* y -1/720)) 1/24)) (.f64 #s(literal -1/720 binary64) (.f64 y (*.f64 y y)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (+.f64 (.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 x (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 y (.f64 y #s(literal -1/720 binary64))))) (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (/.f64 (-.f64 (.f64 (.f64 (.f64 z (.f64 y y)) (.f64 z (.f64 y y))) #s(literal 1/36 binary64)) (.f64 z z)) (-.f64 (.f64 z (.f64 (*.f64 y y) #s(literal -1/6 binary64))) z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64)) (.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 y y) (*.f64 y y)) #s(literal -1/576 binary64)) y))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) #s(approx ( z (sin y)) (*.f64 z y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (neg.f64 (*.f64 z (sin.f64 y))))
(fma.f64 (cos.f64 y) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 z (-.f64 #s(approx ( x (/ (cos y) z)) (/.f64 x z)) (sin.f64 y))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) (/ ( z (sin y)) x)) (neg.f64 (/.f64 (*.f64 z (sin.f64 y)) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Calls

4 calls:

34.0ms	x
21.0ms	z
17.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
15.0ms	y

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes89.0ms (0.8%)

Memory

3.1MiB live, 89.1MiB allocated

Counts

54 → 3

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 z #s(approx (- ( x (/ (cos y) z)) (sin y)) (/.f64 x z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x y) (neg.f64 z)) x))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (neg (* z (sin y))) (.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (neg (* z (sin y))) (.f64 z (.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (+ (* (cos (+ y y)) -1/2) 1/2) (/ (neg (* z z)) (* z (sin y)))) (.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z #s(approx (sin y) (fma.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (.f64 x (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (fma.f64 (.f64 y (.f64 z (.f64 y y))) #s(literal -1/6 binary64) (.f64 y z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 y (fma.f64 y (fma.f64 (.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 (.f64 y z) #s(literal 1/6 binary64) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (.f64 x #s(literal 1/24 binary64))) (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y #s(approx (* y (+ (* y (* y -1/720)) 1/24)) (.f64 #s(literal -1/720 binary64) (.f64 y (*.f64 y y)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (+.f64 (.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 x (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 y (.f64 y #s(literal -1/720 binary64))))) (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (/.f64 (-.f64 (.f64 (.f64 (.f64 z (.f64 y y)) (.f64 z (.f64 y y))) #s(literal 1/36 binary64)) (.f64 z z)) (-.f64 (.f64 z (.f64 (*.f64 y y) #s(literal -1/6 binary64))) z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64)) (.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 y y) (*.f64 y y)) #s(literal -1/576 binary64)) y))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) #s(approx ( z (sin y)) (*.f64 z y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (neg.f64 (*.f64 z (sin.f64 y))))
(fma.f64 (cos.f64 y) x (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 z (-.f64 #s(approx ( x (/ (cos y) z)) (/.f64 x z)) (sin.f64 y))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) (/ ( z (sin y)) x)) (neg.f64 (/.f64 (*.f64 z (sin.f64 y)) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))

Outputs

(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))

#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))

(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))

Calls

4 calls:

32.0ms	z
25.0ms	x
15.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
14.0ms	y

Results

Accuracy	Segments	Branch
86.5%	3	`x`
81.7%	3	`y`
88.7%	3	`z`
78.3%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes87.0ms (0.8%)

Memory

-5.7MiB live, 72.3MiB allocated

Counts

45 → 5

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 z #s(approx (- ( x (/ (cos y) z)) (sin y)) (/.f64 x z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x y) (neg.f64 z)) x))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (neg (* z (sin y))) (.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (neg (* z (sin y))) (.f64 z (.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (+ (* (cos (+ y y)) -1/2) 1/2) (/ (neg (* z z)) (* z (sin y)))) (.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z #s(approx (sin y) (fma.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (.f64 x (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (fma.f64 (.f64 y (.f64 z (.f64 y y))) #s(literal -1/6 binary64) (.f64 y z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 y (fma.f64 y (fma.f64 (.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 (.f64 y z) #s(literal 1/6 binary64) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (.f64 x #s(literal 1/24 binary64))) (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y #s(approx (* y (+ (* y (* y -1/720)) 1/24)) (.f64 #s(literal -1/720 binary64) (.f64 y (*.f64 y y)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (+.f64 (.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 x (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 y (.f64 y #s(literal -1/720 binary64))))) (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (/.f64 (-.f64 (.f64 (.f64 (.f64 z (.f64 y y)) (.f64 z (.f64 y y))) #s(literal 1/36 binary64)) (.f64 z z)) (-.f64 (.f64 z (.f64 (*.f64 y y) #s(literal -1/6 binary64))) z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64)) (.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 y y) (*.f64 y y)) #s(literal -1/576 binary64)) y))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))

Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 y (fma.f64 y (fma.f64 (.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))

Calls

4 calls:

33.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
27.0ms	x
12.0ms	y
12.0ms	z

Results

Accuracy	Segments	Branch
65.8%	4	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
81.2%	5	`y`
74.7%	3	`x`
78.0%	3	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes46.0ms (0.4%)

Memory

13.9MiB live, 52.3MiB allocated

Counts

44 → 3

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 z #s(approx (- ( x (/ (cos y) z)) (sin y)) (/.f64 x z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x y) (neg.f64 z)) x))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (neg (* z (sin y))) (.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (neg (* z (sin y))) (.f64 z (.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (+ (* (cos (+ y y)) -1/2) 1/2) (/ (neg (* z z)) (* z (sin y)))) (.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z #s(approx (sin y) (fma.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (.f64 x (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (fma.f64 (.f64 y (.f64 z (.f64 y y))) #s(literal -1/6 binary64) (.f64 y z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 y (fma.f64 y (fma.f64 (.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 (.f64 y z) #s(literal 1/6 binary64) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (.f64 x #s(literal 1/24 binary64))) (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y #s(approx (* y (+ (* y (* y -1/720)) 1/24)) (.f64 #s(literal -1/720 binary64) (.f64 y (*.f64 y y)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (+.f64 (.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 x (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 y (.f64 y #s(literal -1/720 binary64))))) (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (/.f64 (-.f64 (.f64 (.f64 (.f64 z (.f64 y y)) (.f64 z (.f64 y y))) #s(literal 1/36 binary64)) (.f64 z z)) (-.f64 (.f64 z (.f64 (*.f64 y y) #s(literal -1/6 binary64))) z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64)) (.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 y y) (*.f64 y y)) #s(literal -1/576 binary64)) y))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))

Outputs

#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))

#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y (fma.f64 y (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z))))

#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))

Calls

3 calls:

19.0ms	z
12.0ms	x
12.0ms	y

Results

Accuracy	Segments	Branch
69.2%	3	`x`
67.7%	3	`z`
73.5%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes75.0ms (0.7%)

Memory

-2.4MiB live, 70.9MiB allocated

Counts

43 → 1

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 z #s(approx (- ( x (/ (cos y) z)) (sin y)) (/.f64 x z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x y) (neg.f64 z)) x))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (neg (* z (sin y))) (.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (neg (* z (sin y))) (.f64 z (.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (+ (* (cos (+ y y)) -1/2) 1/2) (/ (neg (* z z)) (* z (sin y)))) (.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z #s(approx (sin y) (fma.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (.f64 x (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (fma.f64 (.f64 y (.f64 z (.f64 y y))) #s(literal -1/6 binary64) (.f64 y z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 y (fma.f64 y (fma.f64 (.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 (.f64 y z) #s(literal 1/6 binary64) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (.f64 x #s(literal 1/24 binary64))) (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y #s(approx (* y (+ (* y (* y -1/720)) 1/24)) (.f64 #s(literal -1/720 binary64) (.f64 y (*.f64 y y)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (+.f64 (.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 x (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 y (.f64 y #s(literal -1/720 binary64))))) (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (/.f64 (-.f64 (.f64 (.f64 (.f64 z (.f64 y y)) (.f64 z (.f64 y y))) #s(literal 1/36 binary64)) (.f64 z z)) (-.f64 (.f64 z (.f64 (*.f64 y y) #s(literal -1/6 binary64))) z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64)) (.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 y y) (*.f64 y y)) #s(literal -1/576 binary64)) y))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))

Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))

Calls

4 calls:

27.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
22.0ms	y
12.0ms	x
12.0ms	z

Results

Accuracy	Segments	Branch
51.9%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
51.9%	1	`z`
51.9%	1	`x`
51.9%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))

Outputs

#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))

#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))

#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))

Calls

4 calls:

2.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
2.0ms	z
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
45.4%	3	`z`
39.7%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
43.1%	3	`x`
39.7%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes4.0ms (0%)

Memory

8.4MiB live, 8.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))

Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))

Calls

3 calls:

1.0ms	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
39.7%	1	`y`
39.7%	1	`x`
39.7%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch69.0ms (0.7%)

Memory

1.3MiB live, 39.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	3.4797716626099597e-178	1.1899271696885663e-157
44.0ms	-5.221439051829807e-5	-3.8426730910614786e-26

Samples

53.0ms

352×

valid

Compiler

Compiled 499 to 344 computations (31.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-sin: 30.0ms (67.4% of total)

ival-cos: 8.0ms (18% of total)

ival-mult: 5.0ms (11.2% of total)

ival-sub: 2.0ms (4.5% of total)

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

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

bsearch121.0ms (1.1%)

Memory

-26.1MiB live, 56.6MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
39.0ms	7175503540.391876	84588489662.0809
16.0ms	5.753149444732974e-22	3.3483924804419536e-11
21.0ms	-227930025893.63605	-43577.6186836245
41.0ms	-2.5809891930389497e+151	-1.885561953924288e+150

Samples

98.0ms

496×

valid

Compiler

Compiled 794 to 512 computations (35.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-sin: 39.0ms (45.5% of total)

ival-mult: 32.0ms (37.3% of total)

ival-cos: 13.0ms (15.2% of total)

ival-sub: 2.0ms (2.3% of total)

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

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

bsearch2.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.753149444732974e-22	3.3483924804419536e-11
1.0ms	-227930025893.63605	-43577.6186836245

Compiler

Compiled 566 to 356 computations (37.1% saved)

bsearch79.0ms (0.7%)

Memory

-8.8MiB live, 28.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
57.0ms	2.44084195669162e+248	4.198133529974473e+251
19.0ms	-2.13575010471658e+37	-6.923975092906833e+24

Samples

65.0ms

288×

valid

Compiler

Compiled 357 to 230 computations (35.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-sin: 47.0ms (80.4% of total)

ival-cos: 6.0ms (10.3% of total)

ival-mult: 4.0ms (6.8% of total)

ival-sub: 1.0ms (1.7% of total)

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

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

simplify11.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
24×	`+-commutative_binary64`
24×	`sub-neg_binary64`
18×	`cancel-sign-sub-inv_binary64`
16×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	315
1	94	315
2	126	315
3	140	315
4	147	315
5	148	315

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -7724745845140773/9903520314283042199192993792 binary64)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 8780229252295211/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -4199999999999999955851440139017317807873294453327565648664960237013123485329960007532417133858025004552901188806117500888507616104384193259310250196992 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z (sin.f64 y)))) (if (<=.f64 y #s(literal -45000 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 2553251331026097/77371252455336267181195264 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (-.f64 x (.f64 y (fma.f64 y (fma.f64 (.f64 z y) #s(literal -1/6 binary64) (.f64 x #s(literal 1/2 binary64))) z)))) (if (<=.f64 y #s(literal 10500000000 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) #s(approx (- ( x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))))))
(if (<=.f64 y #s(literal -45000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 2553251331026097/77371252455336267181195264 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (-.f64 x (.f64 y (fma.f64 y (fma.f64 (.f64 z y) #s(literal -1/6 binary64) (.f64 x #s(literal 1/2 binary64))) z)))) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(if (<=.f64 z #s(literal -19499999999999999277675926601747922944 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y z)))) (if (<=.f64 z #s(literal 409999999999999997458048936291639644457563713923890178219738754206029851152011906214177731388355737461390376835856211933791025599212799485149868414867485272299658320890669554976274479060983322171856170869562535502715650027098734875431959248905437184 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (- ( x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))

Outputs
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -7724745845140773/9903520314283042199192993792 binary64)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 8780229252295211/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -7724745845140773/9903520314283042199192993792 binary64)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 8780229252295211/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -4199999999999999955851440139017317807873294453327565648664960237013123485329960007532417133858025004552901188806117500888507616104384193259310250196992 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z (sin.f64 y)))) (if (<=.f64 y #s(literal -45000 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 2553251331026097/77371252455336267181195264 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (-.f64 x (.f64 y (fma.f64 y (fma.f64 (.f64 z y) #s(literal -1/6 binary64) (.f64 x #s(literal 1/2 binary64))) z)))) (if (<=.f64 y #s(literal 10500000000 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) #s(approx (- ( x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))))))
(if (<=.f64 y #s(literal -4199999999999999955851440139017317807873294453327565648664960237013123485329960007532417133858025004552901188806117500888507616104384193259310250196992 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z (sin.f64 y)))) (if (<=.f64 y #s(literal -45000 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 2553251331026097/77371252455336267181195264 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (-.f64 x (.f64 y (fma.f64 y (fma.f64 (.f64 y z) #s(literal -1/6 binary64) (.f64 x #s(literal 1/2 binary64))) z)))) (if (<=.f64 y #s(literal 10500000000 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) #s(approx (- ( x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))))))
(if (<=.f64 y #s(literal -45000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 2553251331026097/77371252455336267181195264 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (-.f64 x (.f64 y (fma.f64 y (fma.f64 (.f64 z y) #s(literal -1/6 binary64) (.f64 x #s(literal 1/2 binary64))) z)))) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -45000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 2553251331026097/77371252455336267181195264 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (-.f64 x (.f64 y (fma.f64 y (fma.f64 (.f64 y z) #s(literal -1/6 binary64) (.f64 x #s(literal 1/2 binary64))) z)))) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z)))
(if (<=.f64 z #s(literal -19499999999999999277675926601747922944 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y z)))) (if (<=.f64 z #s(literal 409999999999999997458048936291639644457563713923890178219738754206029851152011906214177731388355737461390376835856211933791025599212799485149868414867485272299658320890669554976274479060983322171856170869562535502715650027098734875431959248905437184 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (- ( x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))

soundness1.2s (11.3%)

Memory

-5.7MiB live, 689.2MiB allocated

Rules

12 044×	`lower-fma.f64`
12 044×	`lower-fma.f32`
10 986×	`lower-fma.f64`
10 986×	`lower-fma.f32`
7 328×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	435	4873
1	1427	4755
2	4801	4731
0	8401	4578
0	97	624
1	292	619
2	837	613
3	2075	607
4	3601	607
5	6258	607
0	8452	586
0	995	9851
1	3472	9578
0	8199	9325
0	8	19
0	13	19
1	33	19
2	210	19
3	1964	19
0	8379	19

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 290 to 128 computations (55.9% saved)

preprocess122.0ms (1.2%)

Memory: -9.8MiB live, 146.3MiB allocated
Compiler: Compiled 376 to 114 computations (69.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
0	13	24
1	20	24
2	32	24
3	44	24
4	65	24
5	95	24
6	153	24
7	223	24
8	282	24
9	311	24
10	327	24
0	327	24

Iter	Nodes	Cost
0	8	24
0	13	24
1	20	24
2	32	24
3	44	24
4	65	24
5	95	24
6	153	24
7	223	24
8	282	24
9	311	24
10	327	24
0	327	24

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (13.4%)

explain107.0ms (1%)

preprocess58.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify13.0ms (0.1%)

localize90.0ms (0.9%)

series7.0ms (0.1%)

simplify300.0ms (2.8%)

rewrite386.0ms (3.7%)

eval88.0ms (0.8%)

prune78.0ms (0.7%)

simplify209.0ms (2%)

localize339.0ms (3.2%)

series99.0ms (0.9%)

simplify304.0ms (2.9%)

rewrite766.0ms (7.3%)

eval787.0ms (7.5%)

prune594.0ms (5.6%)

simplify199.0ms (1.9%)

localize217.0ms (2.1%)

series48.0ms (0.5%)

simplify451.0ms (4.3%)

rewrite243.0ms (2.3%)

eval251.0ms (2.4%)

prune90.0ms (0.9%)

simplify218.0ms (2.1%)

localize139.0ms (1.3%)

series47.0ms (0.4%)

simplify349.0ms (3.3%)

rewrite292.0ms (2.8%)

eval140.0ms (1.3%)

prune133.0ms (1.3%)

regimes100.0ms (0.9%)

regimes90.0ms (0.9%)

regimes89.0ms (0.8%)

regimes87.0ms (0.8%)

regimes46.0ms (0.4%)

regimes75.0ms (0.7%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

bsearch69.0ms (0.7%)

bsearch121.0ms (1.1%)

bsearch2.0ms (0%)

bsearch79.0ms (0.7%)

simplify11.0ms (0.1%)

soundness1.2s (11.3%)

preprocess122.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	24
0	13	24
1	20	24
2	32	24
3	44	24
4	65	24
5	95	24
6	153	24
7	223	24
8	282	24
9	311	24
10	327	24
0	327	24