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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample1.6s (12.2%)

Memory

15.6MiB live, 1 640.6MiB allocated

Samples

1.3s

8 256×

valid

Precisions

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

ival-cos: 678.0ms (64% of total)

ival-sin: 198.0ms (18.7% of total)

ival-mult: 112.0ms (10.6% of total)

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

ival-true: 7.0ms (0.7% of total)

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

Bogosity

preprocess54.0ms (0.4%)

Memory

6.3MiB live, 91.3MiB 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)))

explain141.0ms (1.1%)

Memory

-7.0MiB live, 223.1MiB 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

90.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

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

ival-cos: 30.0ms (43.5% of total)

ival-sin: 29.0ms (42.1% of total)

ival-mult: 7.0ms (10.2% of total)

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

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB 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)

simplify18.0ms (0.1%)

Memory

-5.1MiB live, 31.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize40.0ms (0.3%)

Memory

2.9MiB live, 77.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))

Samples

30.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-sin: 10.0ms (49.3% of total)

ival-cos: 6.0ms (29.6% of total)

ival-mult: 3.0ms (14.8% of total)

ival-sub: 1.0ms (4.9% of total)

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

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

series8.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB allocated

Counts

5 → 108

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))>
#<alt (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))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>

Calls

27 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)))
0.0ms	y	@	0	(- (* x (cos y)) (* z (sin y)))
0.0ms	y	@	inf	(- (* x (cos y)) (* z (sin y)))

simplify337.0ms (2.6%)

Memory

7.0MiB live, 642.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 936×	`lower-fma.f64`
12 936×	`lower-fma.f32`
4 366×	`lower-*.f64`
4 366×	`lower-*.f32`
2 310×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	686
1	339	681
2	933	669
3	2680	663
4	4621	663
5	7358	663
0	8230	636

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 105

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))
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)

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

rewrite495.0ms (3.8%)

Memory

9.3MiB live, 947.4MiB allocated

Algorithm

1×	batch-egg-rewrite

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	21
0	13	21
1	33	21
2	210	21
3	1964	21
0	8379	21

Stop Event

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

Counts

5 → 232

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))
(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))))))
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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))))
(sin.f64 y)

eval88.0ms (0.7%)

Memory: -14.2MiB live, 101.4MiB allocated
Compiler: Compiled 15 668 to 732 computations (95.3% saved)

prune69.0ms (0.5%)

Memory

25.9MiB live, 143.2MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	321	16	337
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	322	16	338

Accuracy

99.9%

Counts

338 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.2%	(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)))
▶	65.9%	(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)))))))
▶	99.8%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
	99.8%	(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
	45.8%	(/.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))))
	44.7%	(/.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))))))))
	38.6%	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) (.f64 #s(literal 0 binary64) (-.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))))
	45.7%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (.f64 z (sin.f64 y))) (.f64 x (cos.f64 y))) (-.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))))))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
	55.7%	(-.f64 #s(approx (* x (cos y)) (fma.f64 (.f64 y (.f64 y x)) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x)) (.f64 z (sin.f64 y)))
	13.8%	(.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64))) (/.f64 #s(literal 1 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))))))
	51.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (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))
	51.4%	#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))
▶	52.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
	62.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
▶	39.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))

Compiler

Compiled 870 to 450 computations (48.3% saved)

simplify260.0ms (2%)

Memory

6.7MiB live, 523.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(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)))))))
✓	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 x (cos.f64 y))
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))

Rules

8 116×	`lower-fma.f32`
8 108×	`lower-fma.f64`
3 392×	`lower-*.f32`
3 376×	`lower-*.f64`
2 402×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	345
0	70	339
1	143	338
2	329	334
3	1166	330
4	3708	329
5	7060	329
0	8441	319

Stop Event

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

Calls

Call 1

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

localize339.0ms (2.6%)

Memory

-69.0MiB live, 380.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	accuracy	86.9%	(.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	77.3%	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	accuracy	74.6%	(/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
✓	accuracy	84.3%	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)))
✓	accuracy	77.3%	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	accuracy	72.8%	(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	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(neg.f64 (*.f64 z (sin.f64 y)))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	39.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(-.f64 x (*.f64 z y))
✓	accuracy	52.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.9%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))

Samples

125.0ms	101×	1	valid
85.0ms	130×	0	valid
21.0ms	25×	2	valid

Compiler

Compiled 345 to 39 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 187.0ms

ival-cos: 55.0ms (29.4% of total)

ival-sub: 45.0ms (24% of total)

ival-sin: 25.0ms (13.4% of total)

ival-mult: 24.0ms (12.8% of total)

adjust: 13.0ms (6.9% of total)

ival-add: 11.0ms (5.9% of total)

ival-div: 7.0ms (3.7% of total)

ival-neg: 5.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series67.0ms (0.5%)

Memory

29.5MiB live, 145.7MiB allocated

Counts

21 → 552

Calls

Call 1

Inputs
#<alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))>
#<alt (sin.f64 y)>
#<alt (neg.f64 z)>
#<alt (*.f64 x (cos.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 (neg.f64 (*.f64 z (sin.f64 y)))>
#<alt (*.f64 z (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 (.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)))))))>
#<alt (cos.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 z) (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))>
#<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))) (* 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))) (* x (cos 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 (+ (* -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 y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
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#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow y 2) (pow z 2)) x)>
#<alt (* (pow y 2) (+ (* -1 (/ (* y (pow z 3)) (pow x 2))) (/ (pow z 2) x)))>
#<alt (* (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)))>
#<alt (* (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)))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 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 (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

138 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	(/ (* z z) (+ (* x (cos y)) (* z (sin y))))
5.0ms	z	@	-inf	(+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (/ 1 (+ 0 (* z (sin y))))) (* x (cos y)))
3.0ms	x	@	0	(+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y)))))))
2.0ms	x	@	inf	(+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y)))))))
1.0ms	y	@	-inf	(+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (/ 1 (+ 0 (* z (sin y))))) (* x (cos y)))

simplify429.0ms (3.3%)

Memory

5.3MiB live, 715.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 618×	`lower-fma.f64`
7 618×	`lower-fma.f32`
6 816×	`lower-*.f64`
6 816×	`lower-*.f32`
4 574×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1017	9998
1	3552	9725
0	8338	9475

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 541

Calls

Call 1

Inputs
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)))))))
(+ (* -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))) (* 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))) (* x (cos 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 (+ (* -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))))
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)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* 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 (* 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)))))
(* -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))
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))))))
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(* -1 (* z (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))
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(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (+ (* -1 (/ (- (* -1/2 (/ (* (pow x 3) (* (pow (cos y) 3) (cos (* 2 y)))) (pow (sin y) 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4))) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* -1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))))) (* -1/2 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
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(* (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))))
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(/ 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)))))
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(/ (pow z 2) (* x (cos y)))
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(/ (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)
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(+ (* 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))
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(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
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(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
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(* -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)))))
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(* -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))

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

rewrite1.0s (8%)

Memory

11.6MiB live, 1 356.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 532×	`lower-*.f32`
4 516×	`lower-*.f64`
3 928×	`lower-/.f32`
3 922×	`lower-/.f64`
3 716×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	233
0	70	181
1	267	155
2	2190	143
0	9289	143

Stop Event

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

Counts

21 → 2 994

Calls

Call 1

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

eval1.1s (8.6%)

Memory: 3.4MiB live, 1 173.5MiB allocated
Compiler: Compiled 227 494 to 5 745 computations (97.5% saved)

prune400.0ms (3.1%)

Memory

-18.0MiB live, 867.4MiB allocated

Pruning

33 alts after pruning (30 fresh and 3 done)

	Pruned	Kept	Total
New	4 022	24	4 046
Fresh	5	6	11
Picked	2	3	5
Done	0	0	0
Total	4 029	33	4 062

Accuracy

100.0%

Counts

4 062 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.1%	(fma.f64 (.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 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (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)))
	66.2%	(fma.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.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)))))))
	76.9%	(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)))) #s(approx (/ ( z z) (+ (* x (cos y)) (* z (sin y)))) (/.f64 z (sin.f64 y))))))
	31.1%	(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)))) #s(approx (/ ( z z) (+ (* x (cos y)) (* z (sin y)))) (.f64 (fma.f64 x (/.f64 (cos.f64 y) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z))))))
✓	99.8%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
▶	99.8%	(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
	45.8%	(/.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))))
	33.5%	(/.f64 (fma.f64 x (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
▶	55.7%	(-.f64 #s(approx (* x (cos y)) (fma.f64 (.f64 y (.f64 y x)) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x)) (.f64 z (sin.f64 y)))
	51.4%	#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))
	21.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 x x (-.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 x (*.f64 y (neg.f64 z)))))))
▶	34.0%	#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)))
	34.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (-.f64 x (*.f64 y (neg.f64 z)))))
	39.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
	31.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (.f64 x x) (fma.f64 y z x)) (/.f64 (.f64 y (.f64 z (.f64 y z))) (fma.f64 y z x))))
✓	52.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
	14.3%	#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 (.f64 z (neg.f64 z)) (*.f64 (sin.f64 y) z))))
	33.9%	#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))))
	86.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y))))
	88.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))))
	62.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
✓	39.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
	16.3%	#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)))))
	16.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 #s(literal -1/6 binary64) (.f64 z (*.f64 y y)) z)))))
▶	16.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
	44.6%	#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))))
	42.1%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
	16.6%	#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))))))
	25.8%	#s(approx (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (/ 1 (+ 0 (* z (sin y))))) (* x (cos y))) (/.f64 (.f64 z (+.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))))
	98.9%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* 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 (.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))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
	61.6%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* 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)))
▶	61.5%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))

Compiler

Compiled 1 398 to 777 computations (44.4% saved)

simplify494.0ms (3.8%)

Memory

-15.7MiB live, 917.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
✓	cost-diff	0	(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
✓	cost-diff	0	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
✓	cost-diff	7104	(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
✓	cost-diff	0	(.f64 y (.f64 y x))
✓	cost-diff	0	(fma.f64 (.f64 y (.f64 y x)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x)
✓	cost-diff	0	#s(approx (* x (cos y)) (fma.f64 (.f64 y (.f64 y x)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x))
✓	cost-diff	0	(-.f64 #s(approx (* x (cos y)) (fma.f64 (.f64 y (.f64 y x)) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x)) (.f64 z (sin.f64 y)))
✓	cost-diff	0	(fma.f64 y z x)
✓	cost-diff	0	(.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))
✓	cost-diff	0	#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)))
✓	cost-diff	1792	(/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z 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 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

20 498×	`lower-fma.f32`
20 488×	`lower-fma.f64`
4 952×	`lower-*.f32`
4 936×	`lower-*.f64`
2 526×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	327
0	83	336
1	176	336
2	405	312
3	1021	300
4	2633	298
5	6576	298
0	8069	292

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

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

localize261.0ms (2%)

Memory

22.5MiB live, 493.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
✓	accuracy	99.6%	(cos.f64 (*.f64 y #s(literal -2 binary64)))
✓	accuracy	99.3%	(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))
✓	accuracy	62.1%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
✓	accuracy	99.8%	(.f64 y (.f64 y x))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	99.6%	(*.f64 y #s(literal 1/24 binary64))
✓	accuracy	51.6%	#s(approx (* x (cos y)) (fma.f64 (.f64 y (.f64 y x)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x))
✓	accuracy	100.0%	(-.f64 x (*.f64 y z))
✓	accuracy	99.8%	(.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))
✓	accuracy	52.7%	#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)))
✓	accuracy	50.0%	(/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))
✓	accuracy	51.5%	#s(approx (* z (sin y)) (*.f64 y z))
✓	accuracy	39.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
✓	accuracy	100.0%	(neg.f64 (*.f64 z (sin.f64 y)))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.9%	(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))

Samples

80.0ms	191×	0	valid
69.0ms	65×	1	valid

Compiler

Compiled 261 to 50 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

ival-mult: 34.0ms (27.6% of total)

ival-cos: 34.0ms (27.6% of total)

ival-sin: 15.0ms (12.2% of total)

ival-add: 11.0ms (8.9% of total)

ival-div: 11.0ms (8.9% of total)

adjust: 6.0ms (4.9% of total)

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

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

const: 4.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series34.0ms (0.3%)

Memory

-28.0MiB live, 55.4MiB allocated

Counts

23 → 600

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

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)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* 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 (* 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 (* -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)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* 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 (* 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 (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* y (- (/ x y) z))>
#<alt (* y (- (/ x y) z))>
#<alt (* y (- (/ x y) z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* z (- (/ x z) y))>
#<alt (* z (- (/ x z) y))>
#<alt (* z (- (/ x z) y))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))>
#<alt (* -1 (* y z))>
#<alt (- x (* y z))>
#<alt (- x (* y z))>
#<alt (- x (* y z))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt x>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt (* -1 (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
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#<alt (* z (- (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* z (- (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow z 2) (pow (sin y) 3)))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))))))>
#<alt (* z (- (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 3) (* (pow (cos y) 3) (cos (* 2 y)))) (* (pow z 3) (pow (sin y) 4)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow z 2) (pow (sin y) 3)))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y))))))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (* 1/2 (/ 1 (sin y))) (+ (* 1/2 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 2)))))))))>
#<alt (* -1 (* z (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* z (+ (* -1 (/ (- (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))>
#<alt (* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))>
#<alt (* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (+ (* -1 (/ (- (* -1/2 (/ (* (pow x 3) (* (pow (cos y) 3) (cos (* 2 y)))) (pow (sin y) 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4))) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* -1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))))) (* -1/2 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (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 (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt 1>
#<alt (+ 1 (* -3/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* -1/8 (pow y 2)) 3/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -7/80 (pow y 2)) 1/8)) 3/2)))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (* -1 (* y z))>
#<alt (- x (* y z))>
#<alt (- x (* y z))>
#<alt (- x (* y z))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt x>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* y (- (/ x y) z))>
#<alt (* y (- (/ x y) z))>
#<alt (* y (- (/ x y) z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* z (- (/ x z) y))>
#<alt (* z (- (/ x z) y))>
#<alt (* z (- (/ x z) y))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))>
#<alt (* 1/24 y)>
#<alt (* 1/24 y)>
#<alt (* 1/24 y)>
#<alt (* 1/24 y)>
#<alt (* 1/24 y)>
#<alt (* 1/24 y)>
#<alt (* 1/24 y)>
#<alt (* 1/24 y)>
#<alt (* 1/24 y)>
#<alt (* 1/24 y)>
#<alt (* 1/24 y)>
#<alt (* 1/24 y)>
#<alt 1>
#<alt (+ 1 (* -2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>

Calls

150 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(- (* x (cos y)) (* z (sin y)))
2.0ms	x	@	0	(* x (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))))
2.0ms	x	@	-inf	(* (+ (* y z) x) (- x (* y z)))
1.0ms	y	@	inf	(+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))
1.0ms	y	@	-inf	(+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))

simplify384.0ms (3%)

Memory

8.0MiB live, 840.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 554×	`lower-fma.f64`
9 554×	`lower-fma.f32`
7 030×	`lower-*.f64`
7 030×	`lower-*.f32`
3 370×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	641	6974
1	2162	6665
2	7905	6653
0	8112	6358

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 580

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 (* 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 (- (/ 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))))
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))))
(* -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)))
(* -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 x 2)
(+ (* y (+ (* -1 (* x z)) (* x z))) (pow x 2))
(+ (* y (+ (* -1 (* x z)) (+ (* -1 (* y (pow z 2))) (* x z)))) (pow x 2))
(+ (* y (+ (* -1 (* x z)) (+ (* -1 (* y (pow z 2))) (* x z)))) (pow x 2))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (pow z 2)) (/ (* x z) y))))
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (pow z 2)) (+ (/ (* x z) y) (/ (pow x 2) (pow y 2))))))
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (pow z 2)) (+ (/ (* x z) y) (/ (pow x 2) (pow y 2))))))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (* x z)) y)) (* -1 (pow z 2))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (+ (* -1 (/ (pow x 2) y)) (* x z))) y)) (* -1 (pow z 2))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (+ (* -1 (/ (pow x 2) y)) (* x z))) y)) (* -1 (pow z 2))))
(pow x 2)
(+ (* z (+ (* -1 (* x y)) (* x y))) (pow x 2))
(+ (* z (+ (* -1 (* x y)) (+ (* -1 (* (pow y 2) z)) (* x y)))) (pow x 2))
(+ (* z (+ (* -1 (* x y)) (+ (* -1 (* (pow y 2) z)) (* x y)))) (pow x 2))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (/ (* x y) z))))
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (+ (/ (* x y) z) (/ (pow x 2) (pow z 2))))))
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (* -1 (pow y 2)) (+ (/ (* x y) z) (/ (pow x 2) (pow z 2))))))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (* x y)) z)) (* -1 (pow y 2))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (pow x 2) z)) (* x y))) z)) (* -1 (pow y 2))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (pow x 2) z)) (* x y))) z)) (* -1 (pow y 2))))
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(* -1 (* y z))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* 1/24 y)
(* 1/24 y)
(* 1/24 y)
(* 1/24 y)
(* 1/24 y)
(* 1/24 y)
(* 1/24 y)
(* 1/24 y)
(* 1/24 y)
(* 1/24 y)
(* 1/24 y)
(* 1/24 y)
1
(+ 1 (* -2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))

Outputs
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 y (-.f64 (.f64 y (.f64 x #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 x #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 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)))
(* -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 (-.f64 (/.f64 (.f64 z (sin.f64 y)) x) (cos.f64 y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 (-.f64 (/.f64 (.f64 z (sin.f64 y)) x) (cos.f64 y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 (-.f64 (/.f64 (.f64 z (sin.f64 y)) x) (cos.f64 y)) (neg.f64 x))
(* 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 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(.f64 z (-.f64 (/.f64 (.f64 x (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 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.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 (.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 (*.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)
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* y (- (* 1/6 (* (pow y 2) z)) z))
(.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) 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)))) (neg.f64 z)))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))
(.f64 y (-.f64 (.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (*.f64 z #s(literal 1/6 binary64)))) z))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.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))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* y z)
(*.f64 y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(.f64 y (fma.f64 y (.f64 y (*.f64 z #s(literal -1/6 binary64))) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(.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))
(* 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) (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 z #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))
(* -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 (-.f64 (/.f64 (.f64 z (sin.f64 y)) x) (cos.f64 y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 (-.f64 (/.f64 (.f64 z (sin.f64 y)) x) (cos.f64 y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 (-.f64 (/.f64 (.f64 z (sin.f64 y)) x) (cos.f64 y)) (neg.f64 x))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 y (-.f64 (.f64 y (.f64 x #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 x #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 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 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(.f64 z (-.f64 (/.f64 (.f64 x (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 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* y (- (* 1/6 (* (pow y 2) z)) z))
(.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) 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)))) (neg.f64 z)))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))
(.f64 y (-.f64 (.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (*.f64 z #s(literal 1/6 binary64)))) z))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.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))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* y z)
(*.f64 y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(.f64 y (fma.f64 y (.f64 y (*.f64 z #s(literal -1/6 binary64))) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(.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))
(* 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) (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 z #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))
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* y (- (/ x y) z))
(*.f64 y (-.f64 (/.f64 x y) z))
(* y (- (/ x y) z))
(*.f64 y (-.f64 (/.f64 x y) z))
(* y (- (/ x y) z))
(*.f64 y (-.f64 (/.f64 x y) z))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(*.f64 y (-.f64 (/.f64 x y) z))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(*.f64 y (-.f64 (/.f64 x y) z))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(*.f64 y (-.f64 (/.f64 x y) z))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* z (- (/ x z) y))
(*.f64 z (-.f64 (/.f64 x z) y))
(* z (- (/ x z) y))
(*.f64 z (-.f64 (/.f64 x z) y))
(* z (- (/ x z) y))
(*.f64 z (-.f64 (/.f64 x z) y))
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(.f64 (+.f64 (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))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (/.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 y #s(literal -2 binary64)))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z)) (neg.f64 z))
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(neg.f64 (.f64 z (-.f64 (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))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (-.f64 (/.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 y #s(literal -2 binary64)))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (.f64 x (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (.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) (sin.f64 y))))) (neg.f64 z))) z))))
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (+ (* -1 (/ (- (* -1/2 (/ (* (pow x 3) (* (pow (cos y) 3) (cos (* 2 y)))) (pow (sin y) 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4))) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* -1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))))) (* -1/2 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(neg.f64 (.f64 z (-.f64 (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))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (-.f64 (/.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 y #s(literal -2 binary64)))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 (+.f64 (neg.f64 (fma.f64 x (.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (.f64 x (.f64 x (.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x (cos.f64 y))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z))) (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (.f64 x (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (neg.f64 z))) z))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 y y)))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) (.f64 x #s(literal -1/2 binary64))) x)
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
1
#s(literal 1 binary64)
(+ 1 (* -3/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -3/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* -1/8 (pow y 2)) 3/2)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/8 binary64) #s(literal -3/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -7/80 (pow y 2)) 1/8)) 3/2)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -7/80 binary64) #s(literal -1/8 binary64)) #s(literal -3/2 binary64)) #s(literal 1 binary64))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(- x (* y z))
(-.f64 x (*.f64 y z))
(- x (* y z))
(-.f64 x (*.f64 y z))
(- x (* y z))
(-.f64 x (*.f64 y z))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(fma.f64 (/.f64 (*.f64 y z) x) (neg.f64 x) x)
(* x (+ 1 (* -1 (/ (* y z) x))))
(fma.f64 (/.f64 (*.f64 y z) x) (neg.f64 x) x)
(* x (+ 1 (* -1 (/ (* y z) x))))
(fma.f64 (/.f64 (*.f64 y z) x) (neg.f64 x) x)
x
(* -1 (* x (- (/ (* y z) x) 1)))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (/ (* y z) x) 1)))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (/ (* y z) x) 1)))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* y (- (/ x y) z))
(*.f64 y (-.f64 (/.f64 x y) z))
(* y (- (/ x y) z))
(*.f64 y (-.f64 (/.f64 x y) z))
(* y (- (/ x y) z))
(*.f64 y (-.f64 (/.f64 x y) z))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(*.f64 y (-.f64 (/.f64 x y) z))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(*.f64 y (-.f64 (/.f64 x y) z))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(*.f64 y (-.f64 (/.f64 x y) z))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* z (- (/ x z) y))
(*.f64 z (-.f64 (/.f64 x z) y))
(* z (- (/ x z) y))
(*.f64 z (-.f64 (/.f64 x z) y))
(* z (- (/ x z) y))
(*.f64 z (-.f64 (/.f64 x z) y))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(*.f64 z (-.f64 (/.f64 x z) y))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(*.f64 z (-.f64 (/.f64 x z) y))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(*.f64 z (-.f64 (/.f64 x z) y))
(* 1/24 y)
(*.f64 y #s(literal 1/24 binary64))
(* 1/24 y)
(*.f64 y #s(literal 1/24 binary64))
(* 1/24 y)
(*.f64 y #s(literal 1/24 binary64))
(* 1/24 y)
(*.f64 y #s(literal 1/24 binary64))
(* 1/24 y)
(*.f64 y #s(literal 1/24 binary64))
(* 1/24 y)
(*.f64 y #s(literal 1/24 binary64))
(* 1/24 y)
(*.f64 y #s(literal 1/24 binary64))
(* 1/24 y)
(*.f64 y #s(literal 1/24 binary64))
(* 1/24 y)
(*.f64 y #s(literal 1/24 binary64))
(* 1/24 y)
(*.f64 y #s(literal 1/24 binary64))
(* 1/24 y)
(*.f64 y #s(literal 1/24 binary64))
(* 1/24 y)
(*.f64 y #s(literal 1/24 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 2/3 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -4/45 binary64) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))

rewrite476.0ms (3.7%)

Memory

10.3MiB live, 568.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 682×	`lower-*.f32`
5 666×	`lower-*.f64`
4 680×	`lower-fma.f32`
4 670×	`lower-fma.f64`
3 194×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	281
0	83	290
1	347	223
2	2783	223
0	8183	223

Stop Event

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

Counts

23 → 649

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

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

eval238.0ms (1.8%)

Memory: 17.6MiB live, 237.9MiB allocated
Compiler: Compiled 41 482 to 2 460 computations (94.1% saved)

prune327.0ms (2.5%)

Memory

6.9MiB live, 212.1MiB allocated

Pruning

45 alts after pruning (39 fresh and 6 done)

	Pruned	Kept	Total
New	1 331	25	1 356
Fresh	11	14	25
Picked	2	3	5
Done	0	3	3
Total	1 344	45	1 389

Accuracy

100.0%

Counts

1 389 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.1%	(fma.f64 (.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 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (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)))
	31.1%	(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)))) #s(approx (/ ( z z) (+ (* x (cos y)) (* z (sin y)))) (.f64 (fma.f64 x (/.f64 (cos.f64 y) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z))))))
✓	99.8%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
✓	99.8%	(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
	51.4%	#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))
	21.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 x x (-.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 x (*.f64 y (neg.f64 z)))))))
	31.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (-.f64 (/.f64 (.f64 z (.f64 y (.f64 y z))) (-.f64 (.f64 y z) x)) (/.f64 (.f64 x x) (-.f64 (.f64 y z) x)))))
	31.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))))
	26.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) #s(approx (+ (* y z) x) (neg.f64 (*.f64 x (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))))))
	33.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))))) (fma.f64 y z x)))
	12.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( y z) x) (.f64 y z)) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
▶	27.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( y z) x) (neg.f64 (.f64 x (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))))) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
	11.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (.f64 (neg.f64 (.f64 y y)) (fma.f64 z z (/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 x) x) y) #s(literal 0 binary64)) y)))) (fma.f64 y z x)))
	24.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)) (fma.f64 y z x)))
▶	52.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))))
	39.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
✓	52.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
	14.3%	#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 (.f64 z (neg.f64 z)) (*.f64 (sin.f64 y) z))))
	33.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
	52.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (-.f64 x (.f64 y z)) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))))
▶	86.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y))))
	88.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))))
	61.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (fma.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
	62.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
✓	39.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
	16.3%	#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)))))
	16.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 y (.f64 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 z))))
	44.6%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
	42.1%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 y (-.f64 (/.f64 x y) z))))
	16.6%	#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))))))
	25.8%	#s(approx (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (/ 1 (+ 0 (* z (sin y))))) (* x (cos y))) (/.f64 (.f64 z (+.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))))
	61.6%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (fma.f64 (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (.f64 x #s(literal 1/2 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
	61.5%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x (.f64 x (.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))))
▶	98.9%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* 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 (.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))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
	61.6%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* 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)))
	61.6%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
✓	61.5%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
	37.3%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (.f64 x #s(approx (+ ( 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 (.f64 y 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)))))
	37.6%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (.f64 x #s(approx (+ ( 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (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)))))
	37.3%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (.f64 x #s(approx (+ ( 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
▶	39.6%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (.f64 x #s(approx (+ ( 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))
	25.4%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))))
	37.4%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) #s(approx (* x (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) (.f64 x #s(literal -1/2 binary64))) x)))
	37.6%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) #s(approx (* x (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 y y)))) x)))

Compiler

Compiled 1 730 to 954 computations (44.9% saved)

simplify550.0ms (4.3%)

Memory

-44.8MiB live, 262.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (*.f64 x (cos.f64 y)) z)
✓	cost-diff	0	(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
✓	cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y))))
✓	cost-diff	384	(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
✓	cost-diff	0	(/.f64 (.f64 #s(approx (+ ( y z) x) (neg.f64 (.f64 x (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))))) (-.f64 x (.f64 y z))) (fma.f64 y z x))
✓	cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( y z) x) (neg.f64 (.f64 x (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))))) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
✓	cost-diff	256	(neg.f64 (*.f64 x (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))))
✓	cost-diff	1024	(*.f64 x (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))
✓	cost-diff	0	(-.f64 x (*.f64 y z))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))
✓	cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))))
✓	cost-diff	0	#s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 x #s(approx (+ ( 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)))
✓	cost-diff	0	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (.f64 x #s(approx (+ ( 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))
✓	cost-diff	0	(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
✓	cost-diff	0	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* 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 (.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))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
✓	cost-diff	128	(/.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))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
✓	cost-diff	13760	(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 (.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))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))

Rules

7 822×	`lower-fma.f32`
7 814×	`lower-fma.f64`
4 496×	`lower-*.f32`
4 478×	`lower-*.f64`
1 804×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	535
0	107	519
1	215	519
2	536	483
3	1601	459
4	4651	455
0	8403	448

Stop Event

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

Calls

Call 1

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

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

localize441.0ms (3.4%)

Memory

36.5MiB live, 386.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
✓	accuracy	99.9%	(/.f64 (*.f64 x (cos.f64 y)) z)
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))
✓	accuracy	86.9%	(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
✓	accuracy	94.4%	(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))
✓	accuracy	91.4%	(*.f64 x (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)))
✓	accuracy	52.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( y z) x) (neg.f64 (.f64 x (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))))) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
✓	accuracy	50.0%	(/.f64 (.f64 #s(approx (+ ( y z) x) (neg.f64 (.f64 x (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))))) (-.f64 x (.f64 y z))) (fma.f64 y z x))
✓	accuracy	100.0%	(-.f64 x (*.f64 y z))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z))))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))
✓	accuracy	52.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))))
✓	accuracy	99.8%	(.f64 x #s(approx (+ ( 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64)))
✓	accuracy	62.1%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (.f64 x #s(approx (+ ( 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))
✓	accuracy	55.4%	#s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))
✓	accuracy	99.6%	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
✓	accuracy	99.6%	(cos.f64 (*.f64 y #s(literal -2 binary64)))
✓	accuracy	99.6%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
✓	accuracy	99.5%	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))

Samples

160.0ms	65×	1	valid
136.0ms	191×	0	valid

Compiler

Compiled 416 to 61 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 263.0ms

ival-mult: 107.0ms (40.6% of total)

ival-add: 59.0ms (22.4% of total)

ival-cos: 42.0ms (16% of total)

ival-div: 20.0ms (7.6% of total)

ival-sin: 14.0ms (5.3% of total)

adjust: 7.0ms (2.7% of total)

ival-sub: 5.0ms (1.9% of total)

ival-neg: 4.0ms (1.5% of total)

ival-pow2: 3.0ms (1.1% of total)

exact: 1.0ms (0.4% of total)

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

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

series63.0ms (0.5%)

Memory

-19.6MiB live, 63.7MiB allocated

Counts

24 → 708

Calls

Call 1

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

Outputs
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))>
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y))))))>
#<alt (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y))))))>
#<alt (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y))))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (+ (* -1 z) (* y (- (* -1 x) (* -1/2 x))))))>
#<alt (+ x (* y (+ (* -1 z) (* y (- (+ (* -1 x) (* -1 (* y (- (* -7/6 z) (* -1 z))))) (* -1/2 x))))))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))>
#<alt (* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))>
#<alt (* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (* y z))>
#<alt (* y (+ (* -1 z) (* -1 (* (pow y 2) (- (* -7/6 z) (* -1 z))))))>
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 (- (* -7/6 z) (* -1 z)))))))>
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* -547/5040 z) (+ (* -1 (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z)))) (+ (* -2/45 z) (* 1/3 (- (* -7/6 z) (* -1 z)))))))) (* -1 (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))))))))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (- (/ (* 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 (+ (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))))) (/ (* (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 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (* z (sin y)))) (+ (* 1/2 (/ (cos (* 2 y)) (* z (sin y)))) (* x (- (/ (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (sin y) 4))) (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (sin y) 2))))))))) (/ (* (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 (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* -1/2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))>
#<alt (* x (- (+ (* -1/2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 3)))) (* 1/2 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))))>
#<alt (* x (- (+ (* -1/2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (* x (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow z 3) (* (cos (* 2 y)) (pow (sin y) 3))) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1/2 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 3)))) (+ (* 1/2 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 2))))))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))))>
#<alt (* -1 (* x (- (* -1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (+ (* -1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2)))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x)) (+ (* -1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))>
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#<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)>
#<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)>
#<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)>
#<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)>
#<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)>
#<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)>
#<alt (/ (* x (cos y)) z)>
#<alt (/ (* x (cos y)) z)>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt 1>
#<alt (+ 1 (* -2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt -1>
#<alt (- (* -1 (/ (* y z) x)) 1)>
#<alt (- (* -1 (/ (* y z) x)) 1)>
#<alt (- (* -1 (/ (* y z) x)) 1)>
#<alt (* -1 (/ (* y z) x))>
#<alt (* y (- (* -1 (/ z x)) (/ 1 y)))>
#<alt (* y (- (* -1 (/ z x)) (/ 1 y)))>
#<alt (* y (- (* -1 (/ z x)) (/ 1 y)))>
#<alt (* -1 (/ (* y z) x))>
#<alt (* -1 (* y (+ (/ 1 y) (/ z x))))>
#<alt (* -1 (* y (+ (/ 1 y) (/ z x))))>
#<alt (* -1 (* y (+ (/ 1 y) (/ z x))))>
#<alt -1>
#<alt (- (* -1 (/ (* y z) x)) 1)>
#<alt (- (* -1 (/ (* y z) x)) 1)>
#<alt (- (* -1 (/ (* y z) x)) 1)>
#<alt (* -1 (/ (* y z) x))>
#<alt (* z (- (* -1 (/ y x)) (/ 1 z)))>
#<alt (* z (- (* -1 (/ y x)) (/ 1 z)))>
#<alt (* z (- (* -1 (/ y x)) (/ 1 z)))>
#<alt (* -1 (/ (* y z) x))>
#<alt (* -1 (* z (+ (/ 1 z) (/ y x))))>
#<alt (* -1 (* z (+ (/ 1 z) (/ y x))))>
#<alt (* -1 (* z (+ (/ 1 z) (/ y x))))>
#<alt (* -1 (/ (* y z) x))>
#<alt (/ (+ (* -1 x) (* -1 (* y z))) x)>
#<alt (/ (+ (* -1 x) (* -1 (* y z))) x)>
#<alt (/ (+ (* -1 x) (* -1 (* y z))) x)>
#<alt -1>
#<alt (- (* -1 (/ (* y z) x)) 1)>
#<alt (- (* -1 (/ (* y z) x)) 1)>
#<alt (- (* -1 (/ (* y z) x)) 1)>
#<alt -1>
#<alt (- (* -1 (/ (* y z) x)) 1)>
#<alt (- (* -1 (/ (* y z) x)) 1)>
#<alt (- (* -1 (/ (* y z) x)) 1)>
#<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))>

Calls

177 calls:

Time	Variable		Point	Expression
14.0ms	y	@	0	(* x (+ (* (neg y) (/ z x)) -1))
6.0ms	x	@	inf	(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (neg (pow (cos y) 2))))
3.0ms	y	@	inf	(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (neg (pow (cos y) 2))))
2.0ms	y	@	-inf	(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (neg (pow (cos y) 2))))
2.0ms	x	@	0	(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (neg (pow (cos y) 2))))

simplify476.0ms (3.7%)

Memory

9.0MiB live, 765.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 574×	`lower-fma.f64`
9 574×	`lower-fma.f32`
7 274×	`lower-*.f64`
7 274×	`lower-*.f32`
3 934×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	825	11212
1	2734	10827
0	8275	10332

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 683

Calls

Call 1

Inputs
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y))))))
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y))))))
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* -2 y)) (cos y))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* y (- (* -1 x) (* -1/2 x))))))
(+ x (* y (+ (* -1 z) (* y (- (+ (* -1 x) (* -1 (* y (- (* -7/6 z) (* -1 z))))) (* -1/2 x))))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))
(* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))
(* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (* y z))
(* y (+ (* -1 z) (* -1 (* (pow y 2) (- (* -7/6 z) (* -1 z))))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 (- (* -7/6 z) (* -1 z)))))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* -547/5040 z) (+ (* -1 (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z)))) (+ (* -2/45 z) (* 1/3 (- (* -7/6 z) (* -1 z)))))))) (* -1 (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))))))))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(- (/ (* 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 (+ (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))))) (/ (* (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 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (* z (sin y)))) (+ (* 1/2 (/ (cos (* 2 y)) (* z (sin y)))) (* x (- (/ (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (sin y) 4))) (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (sin y) 2))))))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* -1/2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))
(* x (- (+ (* -1/2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 3)))) (* 1/2 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))))
(* x (- (+ (* -1/2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (* x (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow z 3) (* (cos (* 2 y)) (pow (sin y) 3))) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1/2 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 3)))) (+ (* 1/2 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 2))))))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))))
(* -1 (* x (- (* -1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2)))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x)) (+ (* -1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow z 3) (* (cos (* 2 y)) (pow (sin y) 3))) (pow (cos y) 4))) (+ (* -1/2 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 4))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x)) (+ (* -1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x)) (+ (* -1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z)))
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x
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(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
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(- (* 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)))
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(* z (- (/ (* x (cos y)) z) (sin y)))
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(* -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
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x
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x
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x
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(+ (* -1 (* z (sin y))) (* x (cos y)))
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(* -1 (* z (sin y)))
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(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (sin y)))
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(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
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(* 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
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(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
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(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
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(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
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(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
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(- (* x (cos y)) (* z (sin y)))
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(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
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(* -1 (* z (sin y)))
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(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(/ (* x (cos y)) z)
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(/ (* 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))))
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(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
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(- (/ (* 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)
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(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
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(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
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(- (/ (* 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)
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(+ (* (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)
1
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(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 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 (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
1
(+ 1 (* -2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
-1
(- (* -1 (/ (* y z) x)) 1)
(- (* -1 (/ (* y z) x)) 1)
(- (* -1 (/ (* y z) x)) 1)
(* -1 (/ (* y z) x))
(* y (- (* -1 (/ z x)) (/ 1 y)))
(* y (- (* -1 (/ z x)) (/ 1 y)))
(* y (- (* -1 (/ z x)) (/ 1 y)))
(* -1 (/ (* y z) x))
(* -1 (* y (+ (/ 1 y) (/ z x))))
(* -1 (* y (+ (/ 1 y) (/ z x))))
(* -1 (* y (+ (/ 1 y) (/ z x))))
-1
(- (* -1 (/ (* y z) x)) 1)
(- (* -1 (/ (* y z) x)) 1)
(- (* -1 (/ (* y z) x)) 1)
(* -1 (/ (* y z) x))
(* z (- (* -1 (/ y x)) (/ 1 z)))
(* z (- (* -1 (/ y x)) (/ 1 z)))
(* z (- (* -1 (/ y x)) (/ 1 z)))
(* -1 (/ (* y z) x))
(* -1 (* z (+ (/ 1 z) (/ y x))))
(* -1 (* z (+ (/ 1 z) (/ y x))))
(* -1 (* z (+ (/ 1 z) (/ y x))))
(* -1 (/ (* y z) x))
(/ (+ (* -1 x) (* -1 (* y z))) x)
(/ (+ (* -1 x) (* -1 (* y z))) x)
(/ (+ (* -1 x) (* -1 (* y z))) x)
-1
(- (* -1 (/ (* y z) x)) 1)
(- (* -1 (/ (* y z) x)) 1)
(- (* -1 (/ (* y z) x)) 1)
-1
(- (* -1 (/ (* y z) x)) 1)
(- (* -1 (/ (* y z) x)) 1)
(- (* -1 (/ (* y z) x)) 1)
(* 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))

Outputs
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(/.f64 (.f64 z (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
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(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* -1 (sin y))
(neg.f64 (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(*.f64 x (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(*.f64 x (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(*.f64 x (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)))
(/ x z)
(/.f64 x z)
(+ (* -1 y) (/ x z))
(-.f64 (/.f64 x z) y)
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z))
(fma.f64 y (fma.f64 y (/.f64 (*.f64 x #s(literal -1/2 binary64)) z) #s(literal -1 binary64)) (/.f64 x z))
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) z)) #s(literal -1 binary64)) (/.f64 x z))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(/.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(/.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(/.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))) z)
(* -1 (sin y))
(neg.f64 (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))
(* -1 (sin y))
(neg.f64 (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(/ x z)
(/.f64 x z)
(+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))
(fma.f64 y (/.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) z) (/.f64 x z))
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* 1/24 (/ (* x (pow y 2)) z)))) (/ x z))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y (/.f64 (.f64 x #s(literal 1/24 binary64)) z)) (/.f64 (.f64 x #s(literal -1/2 binary64)) z)) (/.f64 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))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/24 binary64) (/.f64 x z) (/.f64 (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) z)) (/.f64 (.f64 x #s(literal -1/2 binary64)) z)) (/.f64 x z))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
(/ (* x (cos y)) z)
(*.f64 x (/.f64 (cos.f64 y) z))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 1/3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(fma.f64 (.f64 y 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)) #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 (* -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
#s(literal 1 binary64)
(+ 1 (* -2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 2/3 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -4/45 binary64) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 1/3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(fma.f64 (.f64 y 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)) #s(literal 1 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
-1
#s(literal -1 binary64)
(- (* -1 (/ (* y z) x)) 1)
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))
(- (* -1 (/ (* y z) x)) 1)
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))
(- (* -1 (/ (* y z) x)) 1)
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))
(* -1 (/ (* y z) x))
(/.f64 (*.f64 y (neg.f64 z)) x)
(* y (- (* -1 (/ z x)) (/ 1 y)))
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))
(* y (- (* -1 (/ z x)) (/ 1 y)))
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))
(* y (- (* -1 (/ z x)) (/ 1 y)))
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))
(* -1 (/ (* y z) x))
(/.f64 (*.f64 y (neg.f64 z)) x)
(* -1 (* y (+ (/ 1 y) (/ z x))))
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))
(* -1 (* y (+ (/ 1 y) (/ z x))))
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))
(* -1 (* y (+ (/ 1 y) (/ z x))))
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 (/ (* y z) x)) 1)
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))
(- (* -1 (/ (* y z) x)) 1)
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))
(- (* -1 (/ (* y z) x)) 1)
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))
(* -1 (/ (* y z) x))
(/.f64 (*.f64 y (neg.f64 z)) x)
(* z (- (* -1 (/ y x)) (/ 1 z)))
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))
(* z (- (* -1 (/ y x)) (/ 1 z)))
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))
(* z (- (* -1 (/ y x)) (/ 1 z)))
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))
(* -1 (/ (* y z) x))
(/.f64 (*.f64 y (neg.f64 z)) x)
(* -1 (* z (+ (/ 1 z) (/ y x))))
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))
(* -1 (* z (+ (/ 1 z) (/ y x))))
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))
(* -1 (* z (+ (/ 1 z) (/ y x))))
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))
(* -1 (/ (* y z) x))
(/.f64 (*.f64 y (neg.f64 z)) x)
(/ (+ (* -1 x) (* -1 (* y z))) x)
(/.f64 (neg.f64 (fma.f64 z y x)) x)
(/ (+ (* -1 x) (* -1 (* y z))) x)
(/.f64 (neg.f64 (fma.f64 z y x)) x)
(/ (+ (* -1 x) (* -1 (* y z))) x)
(/.f64 (neg.f64 (fma.f64 z y x)) x)
-1
#s(literal -1 binary64)
(- (* -1 (/ (* y z) x)) 1)
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))
(- (* -1 (/ (* y z) x)) 1)
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))
(- (* -1 (/ (* y z) x)) 1)
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 (/ (* y z) x)) 1)
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))
(- (* -1 (/ (* y z) x)) 1)
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))
(- (* -1 (/ (* y z) x)) 1)
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 y (.f64 y (.f64 x #s(literal -1/2 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (.f64 y y) (fma.f64 #s(literal 1/24 binary64) (.f64 y (.f64 y x)) (.f64 x #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 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)) (.f64 x #s(literal 1/24 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)

rewrite379.0ms (2.9%)

Memory

13.7MiB live, 643.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 226×	`lower-*.f32`
4 208×	`lower-*.f64`
4 012×	`lower-/.f32`
3 998×	`lower-/.f64`
3 392×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	428
0	107	418
1	422	346
2	3432	342
0	8435	339

Stop Event

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

Counts

24 → 556

Calls

Call 1

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

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

eval193.0ms (1.5%)

Memory: 17.5MiB live, 437.8MiB allocated
Compiler: Compiled 39 008 to 2 685 computations (93.1% saved)

prune252.0ms (1.9%)

Memory

-22.3MiB live, 484.0MiB allocated

Pruning

48 alts after pruning (42 fresh and 6 done)

	Pruned	Kept	Total
New	1 372	15	1 387
Fresh	7	27	34
Picked	4	1	5
Done	1	5	6
Total	1 384	48	1 432

Accuracy

100.0%

Counts

1 432 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
✓	99.8%	(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
	31.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) #s(approx (+ (* y z) x) (*.f64 z (+.f64 y (/.f64 x z))))))
	33.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))))) (fma.f64 y z x)))
	12.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( y z) x) (.f64 y z)) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
	24.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( y z) x) (neg.f64 #s(approx (* x (+ (* (neg y) (/ z x)) -1)) (neg.f64 x)))) (-.f64 x (*.f64 y z))) (fma.f64 y z x)))
	11.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (.f64 (neg.f64 (.f64 y y)) (fma.f64 z z (/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 x) x) y) #s(literal 0 binary64)) y)))) (fma.f64 y z x)))
	24.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- x (* y z))) (*.f64 x x)) (fma.f64 y z x)))
	32.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))) (fma.f64 y z x))))
	38.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* y z))) (/.f64 (fma.f64 z (/.f64 y x) #s(literal 1 binary64)) x))))
	10.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* y z))) (/.f64 (+.f64 (/.f64 x (.f64 z (.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z)))))
	39.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* y z))) (/.f64 #s(literal 1 binary64) x))))
	16.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- x (* y z))) (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
	39.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
✓	52.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
	14.3%	#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 (.f64 z (neg.f64 z)) (*.f64 (sin.f64 y) z))))
	33.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z)))))
	52.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (-.f64 x (.f64 y z)) (*.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))))
	62.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
	86.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 z (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y)))))
	34.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 z #s(approx (- (/ ( x (cos y)) z) (sin y)) (/.f64 x z))))
	49.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 z #s(approx (- (/ ( x (cos y)) z) (sin y)) (*.f64 x (/.f64 (cos.f64 y) z)))))
	88.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))))
	61.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (fma.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
✓	39.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
	16.3%	#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)))))
	16.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 y (.f64 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 z))))
	44.6%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
	42.1%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- x (* y z))) (+ (* y z) x)) (*.f64 y (-.f64 (/.f64 x y) z))))
	16.6%	#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))))))
	25.8%	#s(approx (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (/ 1 (+ 0 (* z (sin y))))) (* x (cos y))) (/.f64 (.f64 z (+.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))))
	61.6%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (fma.f64 (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (.f64 x #s(literal 1/2 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
	61.5%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) x (.f64 x (.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))))
	99.0%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (fma.f64 z (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.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))))
	49.4%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* 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 (.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))) (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))))))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
	76.2%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* 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 #s(approx (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y)) #s(literal 1 binary64)) (/.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))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
	61.6%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* 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)))
	61.6%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
	37.3%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (.f64 x #s(approx (+ ( 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 (.f64 y 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)))))
	37.6%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (.f64 x #s(approx (+ ( 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (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)))))
	37.3%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (.f64 x #s(approx (+ ( 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
✓	39.6%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (.f64 x #s(approx (+ ( 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))
	25.4%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))))
	38.9%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) #s(approx (+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (neg (pow (cos y) 2)))) (/.f64 (.f64 z (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
	37.4%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) #s(approx (* x (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) (.f64 x #s(literal -1/2 binary64))) x)))
	37.6%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) #s(approx (* x (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 (.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 y y)))) x)))
	37.3%	#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) #s(approx (* x (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y)))) (fma.f64 y (.f64 y (.f64 x #s(literal -1/2 binary64))) x)))

Compiler

Compiled 2 452 to 803 computations (67.3% saved)

regimes143.0ms (1.1%)

Memory

5.5MiB live, 158.8MiB allocated

Counts

81 → 1

Calls

Call 1

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

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

Calls

4 calls:

63.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
30.0ms	z
22.0ms	x
22.0ms	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)

regimes64.0ms (0.5%)

Memory

-13.7MiB live, 114.6MiB allocated

Counts

50 → 1

Calls

Call 1

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

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

Calls

4 calls:

18.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
15.0ms	y
14.0ms	x
14.0ms	z

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)

regimes63.0ms (0.5%)

Memory

-8.5MiB live, 109.0MiB allocated

Counts

49 → 1

Calls

Call 1

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

16.0ms	z
16.0ms	x
14.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
13.0ms	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)

regimes60.0ms (0.5%)

Memory

28.7MiB live, 103.0MiB allocated

Counts

48 → 3

Calls

Call 1

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

Outputs

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

Calls

4 calls:

16.0ms	y
16.0ms	z
13.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
13.0ms	x

Results

Accuracy	Segments	Branch
79.7%	4	`x`
81.5%	5	`y`
79.4%	3	`z`
66.3%	3	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes19.0ms (0.1%)

Memory

-11.8MiB live, 31.2MiB allocated

Counts

47 → 3

Calls

Call 1

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

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))) (neg.f64 (*.f64 z (sin.f64 y))))

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
79.2%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes45.0ms (0.3%)

Memory

2.0MiB live, 74.6MiB allocated

Counts

44 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

15.0ms	z
15.0ms	x
12.0ms	y

Results

Accuracy	Segments	Branch
71.5%	3	`x`
76.2%	3	`y`
71.3%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes59.0ms (0.5%)

Memory

-16.3MiB live, 105.7MiB allocated

Counts

42 → 1

Calls

Call 1

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

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

Calls

4 calls:

16.0ms	y
15.0ms	z
11.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
11.0ms	x

Results

Accuracy	Segments	Branch
52.7%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
52.7%	1	`z`
52.7%	1	`x`
52.7%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs

#s(approx (+ (* (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (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 (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (*.f64 x #s(approx (+ (* 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (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	x
1.0ms	y

Results

Accuracy	Segments	Branch
39.6%	1	`y`
43.1%	3	`x`
39.6%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
44.7%	3	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes3.0ms (0%)

Memory

7.7MiB live, 7.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

2 calls:

1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
39.6%	1	`x`
39.6%	1	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch39.0ms (0.3%)

Memory

11.4MiB live, 50.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.1651660165328762e+35	1.5970754080908589e+38
21.0ms	-4.879345159999245e-57	-5.114207567817302e-64

Samples

26.0ms

272×

valid

Compiler

Compiled 455 to 298 computations (34.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-cos: 6.0ms (34.4% of total)

ival-sin: 6.0ms (34.4% of total)

ival-mult: 4.0ms (22.9% of total)

ival-sub: 1.0ms (5.7% of total)

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

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

bsearch27.0ms (0.2%)

Memory

1.5MiB live, 39.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.1651660165328762e+35	1.5970754080908589e+38
25.0ms	-8.703957287027335e+74	-1.552434757624294e+66

Samples

20.0ms

144×

valid

Compiler

Compiled 338 to 235 computations (30.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-cos: 3.0ms (34% of total)

ival-sin: 3.0ms (34% of total)

ival-mult: 2.0ms (22.7% of total)

ival-sub: 1.0ms (11.3% of total)

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

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

bsearch32.0ms (0.2%)

Memory

-29.6MiB live, 59.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	9.215677070676279e-26	3.6132119530980317e-22
17.0ms	-0.4733828938405597	-0.006153813508258021

Samples

20.0ms

240×

valid

Compiler

Compiled 450 to 284 computations (36.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (36.4% of total)

ival-cos: 2.0ms (24.2% of total)

ival-sin: 2.0ms (24.2% of total)

ival-sub: 1.0ms (12.1% of total)

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

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

bsearch15.0ms (0.1%)

Memory

-12.8MiB live, 26.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	3.401646674667523e+202	3.839806072374871e+202
8.0ms	-3.590094906541082e+223	-2.2135475644922607e+223

Samples

11.0ms

96×

valid

Compiler

Compiled 129 to 86 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-sin: 4.0ms (49% of total)

ival-cos: 2.0ms (24.5% of total)

ival-mult: 1.0ms (12.2% of total)

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

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

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

simplify11.0ms (0.1%)

Memory

23.2MiB live, 23.2MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
18×	`+-commutative_binary64`
18×	`sub-neg_binary64`
14×	`cancel-sign-sub-inv_binary64`
12×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	391
1	119	391
2	142	391
3	151	391
4	155	391
5	156	391

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(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 -2894802230932905/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (-.f64 #s(approx (* x (cos y)) (fma.f64 (.f64 y (.f64 y x)) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x)) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 13499999999999999318300007536992976896 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 z #s(literal -3000000000000000023039211183097908907200598297747970289956890345472 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z (sin.f64 y)))) (if (<=.f64 z #s(literal 13499999999999999318300007536992976896 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 -1062849512059437/9007199254740992 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 7656353255721115/21267647932558653966460912964485513216 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (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)) #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 -22499999999999998801168144902788537654414163380056007528189185564074109132017591064049072836369345251120618358717342065128770345905106135331003050459781557375698660131196380758939286235476133771668689685337460144102285770752 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y z)))) (if (<=.f64 z #s(literal 34999999999999998736702288196224092184805743324777874032320855625441138443857377368013751455079926941971228475742813146010244984310241079730698298707894377321602585027006950487482426656367498991027355648 binary64)) #s(approx (+ ( (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (.f64 x #s(approx (+ ( 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (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 (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (.f64 x #s(approx (+ ( 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))

Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 (sin.f64 y) z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))
(if (<=.f64 z #s(literal -2894802230932905/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (-.f64 #s(approx (* x (cos y)) (fma.f64 (.f64 y (.f64 y x)) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x)) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 13499999999999999318300007536992976896 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 z #s(literal -2894802230932905/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (-.f64 #s(approx (* x (cos y)) (fma.f64 (.f64 y (.f64 y x)) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x)) (.f64 (sin.f64 y) z)) (if (<=.f64 z #s(literal 13499999999999999318300007536992976896 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 (sin.f64 y) z)))))
(if (<=.f64 z #s(literal -3000000000000000023039211183097908907200598297747970289956890345472 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z (sin.f64 y)))) (if (<=.f64 z #s(literal 13499999999999999318300007536992976896 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 z #s(literal -3000000000000000023039211183097908907200598297747970289956890345472 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 (sin.f64 y) z))) (if (<=.f64 z #s(literal 13499999999999999318300007536992976896 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 (sin.f64 y) z)))))
(if (<=.f64 y #s(literal -1062849512059437/9007199254740992 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 7656353255721115/21267647932558653966460912964485513216 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (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)) #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)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z)))
(if (<=.f64 z #s(literal -22499999999999998801168144902788537654414163380056007528189185564074109132017591064049072836369345251120618358717342065128770345905106135331003050459781557375698660131196380758939286235476133771668689685337460144102285770752 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y z)))) (if (<=.f64 z #s(literal 34999999999999998736702288196224092184805743324777874032320855625441138443857377368013751455079926941971228475742813146010244984310241079730698298707894377321602585027006950487482426656367498991027355648 binary64)) #s(approx (+ ( (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (.f64 x #s(approx (+ ( 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (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 (+ 1/2 (* 1/2 (cos (+ y y))))) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))) (.f64 x #s(approx (+ ( 1/2 (/ (cos (* y -2)) (cos y))) (/ 1/2 (cos y))) #s(literal 1 binary64))))

soundness1.2s (9.4%)

Memory

12.2MiB live, 755.3MiB allocated

Rules

12 936×	`lower-fma.f64`
12 936×	`lower-fma.f32`
10 986×	`lower-fma.f64`
10 986×	`lower-fma.f32`
9 554×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
0	13	21
1	33	21
2	210	21
3	1964	21
0	8379	21
0	1017	9998
1	3552	9725
0	8338	9475
0	112	686
1	339	681
2	933	669
3	2680	663
4	4621	663
5	7358	663
0	8230	636
0	641	6974
1	2162	6665
2	7905	6653
0	8112	6358

Stop Event

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

Compiler

Compiled 356 to 177 computations (50.3% saved)

preprocess89.0ms (0.7%)

Memory: 5.3MiB live, 165.1MiB allocated
Compiler: Compiled 350 to 120 computations (65.7% 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

analyze0.0ms (0%)

sample1.6s (12.2%)

preprocess54.0ms (0.4%)

explain141.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify18.0ms (0.1%)

localize40.0ms (0.3%)

series8.0ms (0.1%)

simplify337.0ms (2.6%)

rewrite495.0ms (3.8%)

eval88.0ms (0.7%)

prune69.0ms (0.5%)

simplify260.0ms (2%)

localize339.0ms (2.6%)

series67.0ms (0.5%)

simplify429.0ms (3.3%)

rewrite1.0s (8%)

eval1.1s (8.6%)

prune400.0ms (3.1%)

simplify494.0ms (3.8%)

localize261.0ms (2%)

series34.0ms (0.3%)

simplify384.0ms (3%)

rewrite476.0ms (3.7%)

eval238.0ms (1.8%)

prune327.0ms (2.5%)

simplify550.0ms (4.3%)

localize441.0ms (3.4%)

series63.0ms (0.5%)

simplify476.0ms (3.7%)

rewrite379.0ms (2.9%)

eval193.0ms (1.5%)

prune252.0ms (1.9%)

regimes143.0ms (1.1%)

regimes64.0ms (0.5%)

regimes63.0ms (0.5%)

regimes60.0ms (0.5%)

regimes19.0ms (0.1%)

regimes45.0ms (0.3%)

regimes59.0ms (0.5%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

bsearch39.0ms (0.3%)

bsearch27.0ms (0.2%)

bsearch32.0ms (0.2%)

bsearch15.0ms (0.1%)

simplify11.0ms (0.1%)

soundness1.2s (9.4%)

preprocess89.0ms (0.7%)

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