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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.4s (13.4%)

Memory

-102.7MiB live, 1 565.8MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 585.0ms

ival-sin: 238.0ms (40.7% of total)

ival-cos: 178.0ms (30.4% of total)

ival-mult: 116.0ms (19.8% of total)

ival-add: 44.0ms (7.5% of total)

ival-true: 6.0ms (1% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain106.0ms (1.1%)

Memory

16.8MiB live, 177.8MiB allocated

FPErrors

Click to see full error table

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

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

55.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-add: 11.0ms (27.7% of total)

ival-cos: 11.0ms (27.7% of total)

ival-sin: 11.0ms (27.7% of total)

ival-mult: 7.0ms (17.6% of total)

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

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

preprocess50.0ms (0.5%)

Memory

-14.7MiB live, 24.5MiB allocated

Algorithm

1×	egg-herbie

Rules

180×	`associate-r`
160×	`unsub-neg`
142×	`associate-l`
136×	`distribute-lft-neg-in`
110×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	87
1	79	81
2	139	81
3	307	81
4	458	81
5	693	81
6	871	81
7	957	81
8	1038	81
9	1104	81
10	1118	81
11	1123	81
12	1125	81
0	8	9
0	13	9
1	16	9
0	16	8

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify5.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z (cos.f64 y))
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 x (sin.f64 y))
cost-diff	128	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Rules

8×	`lower-fma.f64`
8×	`lower-fma.f32`
8×	`lower-*.f32`
4×	`*-commutative`
4×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	13	24
1	16	24
0	16	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize37.0ms (0.4%)

Memory

-0.0MiB live, 72.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 y)
accuracy	0.015625	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
accuracy	0.078125	(*.f64 z (cos.f64 y))
accuracy	0.08203125	(*.f64 x (sin.f64 y))

Samples

29.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-cos: 8.0ms (38.9% of total)

ival-sin: 8.0ms (38.9% of total)

ival-mult: 3.0ms (14.6% of total)

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

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

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

series7.0ms (0.1%)

Memory

20.0MiB live, 20.0MiB allocated

Counts

5 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

simplify274.0ms (2.7%)

Memory

-20.4MiB live, 344.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 858×	`lower-fma.f64`
12 858×	`lower-fma.f32`
4 718×	`lower-*.f64`
4 718×	`lower-*.f32`
2 178×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	682
1	344	678
2	991	668
3	2652	662
4	4669	662
5	6964	662
0	8196	606

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 105

Calls

Call 1

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

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

rewrite460.0ms (4.6%)

Memory

-4.4MiB live, 532.5MiB allocated

Rules

11 480×	`lower-fma.f64`
11 480×	`lower-fma.f32`
4 168×	`lower-*.f32`
4 164×	`lower-*.f64`
4 070×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
0	13	21
1	29	21
2	185	21
3	1836	21
0	8391	20

Stop Event

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

Counts

5 → 177

Calls

Call 1

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

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

eval61.0ms (0.6%)

Memory: -4.2MiB live, 69.6MiB allocated
Compiler: Compiled 10 212 to 558 computations (94.5% saved)

prune79.0ms (0.8%)

Memory

-5.2MiB live, 78.0MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	267	15	282
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	268	15	283

Accuracy

99.9%

Counts

283 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.2%	(fma.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.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) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
▶	99.8%	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
	99.8%	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
	56.2%	(fma.f64 x (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.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) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
	47.3%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
▶	48.2%	(/.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 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
▶	59.6%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	76.0%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
	53.2%	(+.f64 #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 y x) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))) (*.f64 z (cos.f64 y)))
	48.1%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
	50.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
	51.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 y x) #s(literal -1/6 binary64))) x) z))
▶	52.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	61.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
▶	40.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))

Compiler

Compiled 692 to 370 computations (46.5% saved)

simplify277.0ms (2.7%)

Memory

7.6MiB live, 370.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.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 (.f64 z (cos.f64 y)) (.f64 x (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	6720	(-.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))))))
cost-diff	0	(.f64 z #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 x (sin.f64 y))
cost-diff	128	(+.f64 (.f64 x (sin.f64 y)) (.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 x (sin.f64 y))
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
cost-diff	0	(fma.f64 y x z)
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 z (cos.f64 y))
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))

Rules

13 208×	`lower-fma.f32`
13 202×	`lower-fma.f64`
3 782×	`lower-*.f32`
3 764×	`lower-*.f64`
2 264×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	262
0	62	260
1	110	260
2	216	260
3	528	260
4	1297	256
5	3110	254
6	6880	254
0	8089	245

Stop Event

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

Calls

Call 1

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

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

localize290.0ms (2.9%)

Memory

0.9MiB live, 379.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	2.999983486641647	(-.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))))))
accuracy	7.179189308667472	(.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
accuracy	14.864630456769055	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy	25.230171995653098	(/.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 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
accuracy	0.015625	(+.f64 (.f64 x (sin.f64 y)) (.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
accuracy	0.078125	(.f64 z #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
accuracy	0.08203125	(*.f64 x (sin.f64 y))
accuracy	31.31575445949271	#s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
accuracy	0	(sin.f64 y)
accuracy	0.08203125	(*.f64 x (sin.f64 y))
accuracy	37.817272446038544	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
accuracy	0	(fma.f64 y x z)
accuracy	30.562590798495854	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
accuracy	0	(sin.f64 y)
accuracy	0	(cos.f64 y)
accuracy	0.046875	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
accuracy	0.078125	(*.f64 z (cos.f64 y))

Samples

70.0ms	55×	2	valid
60.0ms	69×	1	valid
49.0ms	132×	0	valid

Compiler

Compiled 236 to 32 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

ival-cos: 61.0ms (41.4% of total)

ival-mult: 48.0ms (32.6% of total)

adjust: 15.0ms (10.2% of total)

ival-add: 8.0ms (5.4% of total)

ival-sin: 7.0ms (4.8% of total)

ival-sub: 5.0ms (3.4% of total)

ival-div: 3.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series34.0ms (0.3%)

Memory

5.7MiB live, 54.0MiB allocated

Counts

16 → 408

Calls

Call 1

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

Outputs
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<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 (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (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 (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* x y)>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt z>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))>
#<alt (pow z 2)>
#<alt (+ (* (pow y 2) (- (* -1 (pow z 2)) (pow x 2))) (pow z 2))>
#<alt (+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (* 1/3 (pow z 2)) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2))>
#<alt (+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (+ (* 1/3 (pow z 2)) (* (pow y 2) (- (* -2/45 (pow z 2)) (* 2/45 (pow x 2))))) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (+ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))>
#<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 (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))>
#<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 (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (+ (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))>
#<alt (+ (* z (- (* z (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (+ (* z (- (* z (- (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (/ (* z (* (cos y) (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3))))))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (- (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow z 3) (cos y)))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (sin y) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* z (cos y))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (- (* y (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))>
#<alt (+ z (* y (- (* y (- (+ (* -1 z) (* -1 (* y (+ (* -1 (/ (* x (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) z)) (+ (* -1/2 x) (* 1/6 x)))))) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* x (- (* x (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* x (- (* x (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (/ (* x (* (sin y) (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y)))))))) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (* -1 (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y)))>
#<alt (* x (+ (* -1 (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2)))) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y)))))>
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y)))) (+ (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (* (pow x 2) (pow (sin y) 3))))))>
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (+ (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y))) (/ (* z (* (cos y) (- (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3))))) (* (pow x 3) (sin y))))) (+ (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (* (pow x 2) (pow (sin y) 3))))))>
#<alt (* -1 (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y)))>
#<alt (* -1 (* x (- (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) x)) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) x)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (cos y) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))))) (* x (sin y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) x)) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) x)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 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 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))>
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>

Calls

102 calls:

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

simplify292.0ms (2.9%)

Memory

-14.3MiB live, 383.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 356×	`lower-fma.f64`
8 356×	`lower-fma.f32`
7 366×	`lower-*.f64`
7 366×	`lower-*.f32`
2 090×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	463	5395
1	1583	5308
2	5614	5279
0	8312	4808

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 396

Calls

Call 1

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

Outputs
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (.f64 y y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) 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)
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(fma.f64 z (.f64 y (.f64 y #s(literal -1/2 binary64))) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(fma.f64 (.f64 y y) (.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (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 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(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 (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(* y (+ x (/ z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(* y (+ x (/ z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(* y (+ x (/ z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(*.f64 y (+.f64 x (/.f64 z y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(*.f64 y (+.f64 x (/.f64 z y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(*.f64 y (+.f64 x (/.f64 z y)))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(* x (+ y (/ z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(* x (+ y (/ z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(* x (+ y (/ z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 x (+.f64 y (/.f64 z x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 x (+.f64 y (/.f64 z x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 x (+.f64 y (/.f64 z x)))
(* x y)
(*.f64 x y)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
z
(* z (+ 1 (/ (* x y) z)))
(fma.f64 z (/.f64 (*.f64 x y) z) z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 z (/.f64 (*.f64 x y) z) z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 z (/.f64 (*.f64 x y) z) z)
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(*.f64 z (neg.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal -1 binary64))))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(*.f64 z (neg.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal -1 binary64))))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(*.f64 z (neg.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal -1 binary64))))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
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(.f64 (.f64 y y) (fma.f64 x x (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (.f64 y y))))))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))
(.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 2/45 binary64))) (.f64 x (.f64 x #s(literal -1/3 binary64)))) (*.f64 x x)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))
(.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal -1/315 binary64)) (.f64 (.f64 x x) #s(literal 2/45 binary64))) (.f64 x (.f64 x #s(literal -1/3 binary64)))) (.f64 x x)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))

rewrite405.0ms (4%)

Memory

8.1MiB live, 645.2MiB allocated

Rules

6 144×	`lower-fma.f32`
6 138×	`lower-fma.f64`
4 858×	`lower-*.f32`
4 840×	`lower-*.f64`
4 716×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	176
0	62	147
1	226	121
2	1693	121
0	8217	120

Stop Event

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

Counts

16 → 608

Calls

Call 1

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

Outputs
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))
(+.f64 (/.f64 (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 x x) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 x x) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)))))
(-.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))) (/.f64 (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 binary64)))) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) (/.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 binary64)))) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 binary64)) (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) (/.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 4 binary64)) (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)))) (/.f64 (-.f64 (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (neg.f64 (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)))))
(-.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 binary64)) (.f64 (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 binary64))))) (/.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 6 binary64)) (.f64 (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 binary64)) (.f64 (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 4 binary64)) (.f64 (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) (pow.f64 (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (pow.f64 (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 x x) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 x x) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)))))))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 x x) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 x x) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 x x) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 z z) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 x x) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)))))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 x x) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)))) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 z z) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 x x) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)))))))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(fma.f64 z (/.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 x x) (-.f64 (.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (.f64 z z) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 x x) (-.f64 (.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 z z) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 x x) (-.f64 (.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))))
(fma.f64 (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 x x) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))))))
(fma.f64 (/.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (/.f64 (.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y))))) (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 x x) (-.f64 (.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))))
(fma.f64 (/.f64 (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (fma.f64 (.f64 (sin.f64 y) x) (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y))) (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 x x) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))))))
(fma.f64 (/.f64 (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y))) (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 x x) (-.f64 (.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))))
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(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 binary64))) (.f64 x x))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))))) (*.f64 x x))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) (.f64 x x)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) (.f64 x x))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) (.f64 x x))))))
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
(pow.f64 (*.f64 (sin.f64 y) (neg.f64 x)) #s(literal 2 binary64))
(.f64 (sin.f64 y) (.f64 x (*.f64 (sin.f64 y) x)))
(.f64 x (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(.f64 x (.f64 (sin.f64 y) (*.f64 (sin.f64 y) x)))
(.f64 (.f64 (sin.f64 y) x) (*.f64 (sin.f64 y) x))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x))
(.f64 (.f64 (sin.f64 y) (neg.f64 x)) (*.f64 (sin.f64 y) (neg.f64 x)))
(.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) x)
(.f64 (.f64 (*.f64 (sin.f64 y) x) (sin.f64 y)) x)
(.f64 (.f64 (*.f64 (sin.f64 y) x) x) (sin.f64 y))
(.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 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 (.f64 x x) (/.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 (-.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)))))))) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (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 (-.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))))))))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(.f64 (/.f64 (.f64 x x) (cos.f64 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))))))) (cos.f64 y)))
(.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))))))) (cos.f64 y)) (/.f64 (*.f64 x x) (cos.f64 y)))
(.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 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 (.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 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)))))))) (/.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)))))
(.f64 (/.f64 (.f64 x x) (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 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))))))) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 x x) (/.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 x x) (/.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 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 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))))))) (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 (/.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 (cos.f64 (+.f64 y y)) #s(literal 1 binary64))) (/.f64 (*.f64 x x) #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 (-.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 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 binary64))))) (/.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))

eval212.0ms (2.1%)

Memory: 24.0MiB live, 253.3MiB allocated
Compiler: Compiled 47 093 to 2 038 computations (95.7% saved)

prune143.0ms (1.4%)

Memory

-8.2MiB live, 284.9MiB allocated

Pruning

36 alts after pruning (33 fresh and 3 done)

	Pruned	Kept	Total
New	1 098	32	1 130
Fresh	9	1	10
Picked	2	3	5
Done	0	0	0
Total	1 109	36	1 145

Accuracy

100.0%

Counts

1 145 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
	76.0%	(fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
▶	99.8%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	47.3%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
	48.4%	(/.f64 (-.f64 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
	36.3%	(/.f64 #s(approx (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
▶	50.9%	(+.f64 (.f64 x #s(approx (sin y) (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))) (.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	51.0%	(+.f64 (.f64 x #s(approx (sin y) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y))) (.f64 z #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	50.6%	(+.f64 #s(approx (* x (sin y)) (.f64 x y)) (.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	99.1%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (fma.f64 z (/.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 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))))
▶	60.8%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))))
	25.4%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (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 (sin.f64 y))))
	93.1%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (.f64 z (fma.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (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))))))
	93.1%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (.f64 z (fma.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (.f64 z (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)))))
	45.7%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (.f64 x (fma.f64 z (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (.f64 x (pow.f64 (sin.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)) (sin.f64 y)))))
	50.8%	#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
▶	51.4%	#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x) z))
	93.8%	#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
	61.3%	#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 z (cos.f64 y)))
	90.5%	#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
✓	52.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	14.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (.f64 z z) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x))))))
	30.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x))))
	14.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x)))) (fma.f64 z (.f64 z z) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))))))
	32.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
	32.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
✓	40.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
	19.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (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))))
	19.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y))))
	19.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
	45.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 z (neg.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal -1 binary64))))))
	42.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
	47.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x)))))
▶	18.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
	19.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 y y)))) x))))
	19.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))))

Compiler

Compiled 1 475 to 802 computations (45.6% saved)

simplify262.0ms (2.6%)

Memory

-6.9MiB live, 339.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 (*.f64 y #s(literal -2 binary64)))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 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)) (/.f64 z (cos.f64 y)))
cost-diff	0	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))))
cost-diff	0	(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)
cost-diff	0	#s(approx (sin y) (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))
cost-diff	0	(.f64 x #s(approx (sin y) (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)))
cost-diff	128	(+.f64 (.f64 x #s(approx (sin y) (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))) (.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
cost-diff	0	(fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))
cost-diff	0	(fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x)
cost-diff	0	(fma.f64 y (fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x) z)
cost-diff	0	#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x) z))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (+ (* y x) z) (*.f64 x y))
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 (sin.f64 y) x)
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))

Rules

14 080×	`lower-fma.f32`
14 062×	`lower-fma.f64`
4 906×	`lower-*.f32`
4 882×	`lower-*.f64`
1 942×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	371
0	100	359
1	199	359
2	426	359
3	994	359
4	2147	357
5	4460	356
0	8175	351

Stop Event

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

Calls

Call 1

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

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

localize319.0ms (3.2%)

Memory

53.0MiB live, 550.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(/.f64 z (cos.f64 y))
accuracy	0.125	(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
accuracy	0.4516981236612279	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
accuracy	24.482060392090897	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))))
accuracy	0.08203125	(.f64 x #s(approx (sin y) (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)))
accuracy	0.10546875	(.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
accuracy	31.21863847684843	#s(approx (sin y) (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))
accuracy	31.31575445949271	#s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
accuracy	0.046875	(fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x)
accuracy	0.12109375	(fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))
accuracy	0.33984375	(*.f64 y #s(literal -1/6 binary64))
accuracy	31.129339348033003	#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x) z))
accuracy	0	(*.f64 x y)
accuracy	28.981779441915897	#s(approx (+ (* y x) z) (*.f64 x y))
accuracy	30.562590798495854	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
accuracy	0	(sin.f64 y)
accuracy	0	(cos.f64 y)
accuracy	0.0625	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
accuracy	0.08203125	(*.f64 (sin.f64 y) x)

Samples

144.0ms	200×	0	valid
64.0ms	55×	1	valid
2.0ms	1×	5	exit

Compiler

Compiled 270 to 62 computations (77% saved)

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

ival-cos: 74.0ms (42% of total)

ival-mult: 52.0ms (29.5% of total)

ival-add: 18.0ms (10.2% of total)

const: 13.0ms (7.4% of total)

adjust: 7.0ms (4% of total)

ival-sin: 6.0ms (3.4% of total)

ival-sub: 4.0ms (2.3% of total)

ival-div: 4.0ms (2.3% of total)

exact: 1.0ms (0.6% of total)

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

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

series44.0ms (0.4%)

Memory

-27.5MiB live, 89.8MiB allocated

Counts

23 → 552

Calls

Call 1

Inputs
#<alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))>
#<alt (cos.f64 y)>
#<alt (*.f64 (sin.f64 y) x)>
#<alt (sin.f64 y)>
#<alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))>
#<alt #s(approx (+ (* y x) z) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt #s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x) z))>
#<alt (fma.f64 y (fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x) z)>
#<alt (fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x)>
#<alt (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))>
#<alt (+.f64 (.f64 x #s(approx (sin y) (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))) (.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))>
#<alt (.f64 x #s(approx (sin y) (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)))>
#<alt #s(approx (sin y) (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))>
#<alt (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)>
#<alt #s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))))>
#<alt (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))>
#<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 (*.f64 y #s(literal -1/6 binary64))>
#<alt #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))>
#<alt (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))>
#<alt (/.f64 z (cos.f64 y))>

Outputs
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
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#<alt (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (- (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow z 3) (cos y)))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (sin y) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* z (cos y))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (- (* y (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))>
#<alt (+ z (* y (- (* y (- (+ (* -1 z) (* -1 (* y (+ (* -1 (/ (* x (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) z)) (+ (* -1/2 x) (* 1/6 x)))))) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* x (- (* x (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* x (- (* x (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (/ (* x (* (sin y) (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y)))))))) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (* -1 (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y)))>
#<alt (* x (+ (* -1 (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2)))) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y)))))>
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y)))) (+ (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (* (pow x 2) (pow (sin y) 3))))))>
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (+ (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y))) (/ (* z (* (cos y) (- (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3))))) (* (pow x 3) (sin y))))) (+ (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (* (pow x 2) (pow (sin y) 3))))))>
#<alt (* -1 (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y)))>
#<alt (* -1 (* x (- (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) x)) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) x)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (cos y) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))))) (* x (sin y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) x)) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) x)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))>
#<alt z>
#<alt (+ z (* (pow y 2) (- (* -1 z) (* -1/2 z))))>
#<alt (+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))>
#<alt (+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (+ (* 1/3 z) (* (pow y 2) (- (* -2/45 z) (+ (* -1/2 (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z)))) (+ (* -1/720 z) (* 1/24 (- (* -1 z) (* -1/2 z)))))))) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos 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 (+ 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 (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 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 (* 1/120 y)>
#<alt (* y (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* y (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* y (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* -1/5040 (pow y 3))>
#<alt (* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* -1/5040 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt z>
#<alt (+ z (* 1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/4 z) (* 1/24 z)))) (* -1/2 z))))>
#<alt (+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/720 z) (+ (* 1/48 z) (* 1/2 (+ (* -1/4 z) (* 1/24 z))))))) (+ (* -1/4 z) (* 1/24 z)))) (* -1/2 z))))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>

Calls

138 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(* y (+ (* (* y y) -1/5040) 1/120))
5.0ms	y	@	-inf	(+ (* y (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x)) z)
2.0ms	z	@	0	(* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y)))
2.0ms	y	@	0	(cos (* y -2))
1.0ms	z	@	0	(+ (* y (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x)) z)

simplify283.0ms (2.8%)

Memory

42.3MiB live, 511.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 946×	`lower-fma.f64`
7 946×	`lower-fma.f32`
6 620×	`lower-*.f64`
6 620×	`lower-*.f32`
3 326×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	612	6473
1	2052	6299
2	7321	6283
0	8081	5777

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 536

Calls

Call 1

Inputs
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (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)
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
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(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos 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)))
(+ 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))
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 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)
(* 1/120 y)
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(* -1/5040 (pow y 3))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* -1/5040 (pow y 3))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(/ z (cos y))
(/ z (cos y))
(/ z (cos y))
(/ z (cos y))
(/ z (cos y))
(/ z (cos y))
(/ z (cos y))
(/ z (cos y))
(/ z (cos y))
(/ z (cos y))
(/ z (cos y))
(/ z (cos y))
z
(+ z (* 1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/4 z) (* 1/24 z)))) (* -1/2 z))))
(+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/720 z) (+ (* 1/48 z) (* 1/2 (+ (* -1/4 z) (* 1/24 z))))))) (+ (* -1/4 z) (* 1/24 z)))) (* -1/2 z))))
(/ z (cos y))
(/ z (cos y))
(/ z (cos y))
(/ z (cos y))
(/ z (cos y))
(/ z (cos y))
(/ z (cos y))
(/ z (cos y))

Outputs
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (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 y (.f64 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)
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)) y))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(.f64 y (fma.f64 (.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (.f64 x (.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/120 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (.f64 y y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 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)
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(* y (+ x (/ z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(* y (+ x (/ z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(* y (+ x (/ z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(neg.f64 (*.f64 y (-.f64 (neg.f64 x) (/.f64 z y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(neg.f64 (*.f64 y (-.f64 (neg.f64 x) (/.f64 z y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(neg.f64 (*.f64 y (-.f64 (neg.f64 x) (/.f64 z y))))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(* x (+ y (/ z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(* x (+ y (/ z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(* x (+ y (/ z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 x (+.f64 y (/.f64 z x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 x (+.f64 y (/.f64 z x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 x (+.f64 y (/.f64 z x)))
(* x y)
(*.f64 x y)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
z
(* z (+ 1 (/ (* x y) z)))
(fma.f64 z (/.f64 (*.f64 x y) z) z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 z (/.f64 (*.f64 x y) z) z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 z (/.f64 (*.f64 x y) z) z)
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(neg.f64 (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z))))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(neg.f64 (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z))))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(neg.f64 (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z))))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
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(neg.f64 (.f64 x (-.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 (/.f64 (neg.f64 (fma.f64 (.f64 z z) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 z z) (sin.f64 y))))) (.f64 x x)) (/.f64 (.f64 (.f64 z (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))))
(* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (cos y) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))))) (* x (sin y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) x)) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) x)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))
(.f64 (neg.f64 x) (-.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 (/.f64 (neg.f64 (fma.f64 (.f64 z (cos.f64 y)) (/.f64 (fma.f64 (.f64 z z) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 z z) (sin.f64 y)))) (.f64 x (sin.f64 y))) (fma.f64 (.f64 z z) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 z z) (sin.f64 y)))))) (.f64 x x)) (/.f64 (.f64 (.f64 z (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))))
z
(+ z (* (pow y 2) (- (* -1 z) (* -1/2 z))))
(fma.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y)) z)
(+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)
(+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (+ (* 1/3 z) (* (pow y 2) (- (* -2/45 z) (+ (* -1/2 (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z)))) (+ (* -1/720 z) (* 1/24 (- (* -1 z) (* -1/2 z)))))))) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))) (.f64 z #s(literal -1/2 binary64))) z)
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
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 (.f64 y 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 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (*.f64 y 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)))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 y (.f64 y (fma.f64 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)
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(.f64 y (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(.f64 y (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(.f64 y (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(* -1/5040 (pow y 3))
(.f64 #s(literal -1/5040 binary64) (.f64 y (*.f64 y y)))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 y y))))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 y y))))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 y y))))
(* -1/5040 (pow y 3))
(.f64 #s(literal -1/5040 binary64) (.f64 y (*.f64 y y)))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (.f64 y y))) (neg.f64 (.f64 y (.f64 y y))))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (.f64 y y))) (neg.f64 (.f64 y (.f64 y y))))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (.f64 y y))) (neg.f64 (.f64 y (.f64 y y))))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
z
(+ z (* 1/2 (* (pow y 2) z)))
(fma.f64 z (.f64 y (.f64 y #s(literal 1/2 binary64))) z)
(+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/4 z) (* 1/24 z)))) (* -1/2 z))))
(fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/2 binary64) (.f64 (.f64 y y) (.f64 z #s(literal 5/24 binary64)))) z)
(+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/720 z) (+ (* 1/48 z) (* 1/2 (+ (* -1/4 z) (* 1/24 z))))))) (+ (* -1/4 z) (* 1/24 z)))) (* -1/2 z))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (neg.f64 (.f64 y y)) (fma.f64 z #s(literal 7/360 binary64) (.f64 z #s(literal -5/48 binary64))) (.f64 z #s(literal 5/24 binary64))) (.f64 z #s(literal 1/2 binary64))) z)
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))

rewrite329.0ms (3.3%)

Memory

-6.9MiB live, 581.9MiB allocated

Rules

4 660×	`lower-*.f32`
4 636×	`lower-*.f64`
4 392×	`lower-fma.f32`
4 374×	`lower-fma.f64`
3 906×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	296
0	100	286
1	423	259
2	3171	259
0	8797	256

Stop Event

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

Counts

23 → 395

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))
(+.f64 (/.f64 (.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))) (neg.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))) (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) (/.f64 (.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y))))) (/.f64 (fma.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))))
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(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 4 binary64)) (.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y))) (fma.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y))) (fma.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))))
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(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 4 binary64)) (fma.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))) (/.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (fma.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))))
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(-.f64 (/.f64 (pow.f64 (/.f64 (.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))) (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))))))) (/.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))) (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))) #s(literal 2 binary64)) (fma.f64 z (/.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))) (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))))) (/.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))) #s(literal 2 binary64)) (fma.f64 z (/.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))) (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 z (/.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))) (neg.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (.f64 z z) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))) (neg.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))))
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(fma.f64 (.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 binary64) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))) (neg.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y))))))
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(pow.f64 (/.f64 (-.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 #s(literal -2 binary64)))))) #s(literal 1/4 binary64)) (.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.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 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.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 #s(literal -2 binary64)))))) #s(literal 1/4 binary64)) (.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64)))))
(.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 #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))
(.f64 (+.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) y)
#s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 y #s(literal 1/120 binary64)) (.f64 y (.f64 y (.f64 y #s(literal -1/5040 binary64)))))
(+.f64 (.f64 y (.f64 y (.f64 y #s(literal -1/5040 binary64)))) (.f64 y #s(literal 1/120 binary64)))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y (.f64 y #s(literal -1/5040 binary64)))) (.f64 y (.f64 y (.f64 y #s(literal -1/5040 binary64))))) (-.f64 (.f64 y (.f64 y (.f64 y #s(literal -1/5040 binary64)))) (.f64 y #s(literal 1/120 binary64)))) (/.f64 (.f64 (.f64 y #s(literal 1/120 binary64)) (.f64 y #s(literal 1/120 binary64))) (-.f64 (.f64 y (.f64 y (.f64 y #s(literal -1/5040 binary64)))) (.f64 y #s(literal 1/120 binary64)))))
(fma.f64 y #s(literal 1/120 binary64) (.f64 y (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))
(fma.f64 y (.f64 y (.f64 y #s(literal -1/5040 binary64))) (*.f64 y #s(literal 1/120 binary64)))
(fma.f64 (.f64 y y) (.f64 y #s(literal -1/5040 binary64)) (*.f64 y #s(literal 1/120 binary64)))
(fma.f64 #s(literal -1/5040 binary64) (.f64 y (.f64 y y)) (*.f64 y #s(literal 1/120 binary64)))
(fma.f64 #s(literal 1/120 binary64) y (.f64 y (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))
(fma.f64 (.f64 y (.f64 y y)) #s(literal -1/5040 binary64) (*.f64 y #s(literal 1/120 binary64)))
(fma.f64 (.f64 y (.f64 y #s(literal -1/5040 binary64))) y (*.f64 y #s(literal 1/120 binary64)))
(fma.f64 (.f64 y #s(literal -1/5040 binary64)) (.f64 y y) (*.f64 y #s(literal 1/120 binary64)))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64))) (.f64 (.f64 y (.f64 y y)) #s(literal 1/1728000 binary64))) (fma.f64 (.f64 y (.f64 y (.f64 y #s(literal -1/5040 binary64)))) (.f64 y (.f64 y (.f64 y #s(literal -1/5040 binary64)))) (-.f64 (.f64 (.f64 y #s(literal 1/120 binary64)) (.f64 y #s(literal 1/120 binary64))) (.f64 (.f64 y (.f64 y (.f64 y #s(literal -1/5040 binary64)))) (*.f64 y #s(literal 1/120 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 y (.f64 y #s(literal -1/5040 binary64)))) (.f64 y (.f64 y (.f64 y #s(literal -1/5040 binary64))))) (.f64 (.f64 y #s(literal 1/120 binary64)) (.f64 y #s(literal 1/120 binary64)))) (-.f64 (.f64 y (.f64 y (.f64 y #s(literal -1/5040 binary64)))) (.f64 y #s(literal 1/120 binary64))))
(/.f64 (.f64 y (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))
(/.f64 (.f64 y (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) y) (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64))) (.f64 (.f64 y (.f64 y y)) #s(literal 1/1728000 binary64)))) (neg.f64 (fma.f64 (.f64 y (.f64 y (.f64 y #s(literal -1/5040 binary64)))) (.f64 y (.f64 y (.f64 y #s(literal -1/5040 binary64)))) (-.f64 (.f64 (.f64 y #s(literal 1/120 binary64)) (.f64 y #s(literal 1/120 binary64))) (.f64 (.f64 y (.f64 y (.f64 y #s(literal -1/5040 binary64)))) (*.f64 y #s(literal 1/120 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y (.f64 y (.f64 y #s(literal -1/5040 binary64)))) (.f64 y (.f64 y (.f64 y #s(literal -1/5040 binary64))))) (.f64 (.f64 y #s(literal 1/120 binary64)) (.f64 y #s(literal 1/120 binary64))))) (neg.f64 (-.f64 (.f64 y (.f64 y (.f64 y #s(literal -1/5040 binary64)))) (.f64 y #s(literal 1/120 binary64)))))
(/.f64 (neg.f64 (.f64 y (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 (*.f64 y y) #s(literal -1/604800 binary64))))))
(/.f64 (neg.f64 (.f64 y (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))) (neg.f64 (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) y)) (neg.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 (*.f64 y y) #s(literal -1/604800 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) y)) (neg.f64 (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))))
(.f64 y (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(.f64 (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 y) z)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))) (/.f64 z (neg.f64 (cos.f64 y))))
(neg.f64 (/.f64 z (neg.f64 (cos.f64 y))))
(neg.f64 (/.f64 (neg.f64 z) (cos.f64 y)))
(/.f64 z (cos.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 y) z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 y) z))))
(/.f64 (neg.f64 z) (neg.f64 (cos.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 y) z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 y) z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 (cos.f64 y))))
(/.f64 (*.f64 z #s(literal 1 binary64)) (cos.f64 y))
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 y)))))
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 (cos.f64 y)))
(pow.f64 (/.f64 (cos.f64 y) z) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 y) z) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) (cos.f64 y)))
(*.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))

eval182.0ms (1.8%)

Memory: 14.0MiB live, 288.1MiB allocated
Compiler: Compiled 27 570 to 1 799 computations (93.5% saved)

prune213.0ms (2.1%)

Memory

-53.6MiB live, 260.5MiB allocated

Pruning

42 alts after pruning (36 fresh and 6 done)

	Pruned	Kept	Total
New	928	16	944
Fresh	8	20	28
Picked	2	3	5
Done	0	3	3
Total	938	42	980

Accuracy

100.0%

Counts

980 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
	76.0%	(fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	50.9%	(fma.f64 #s(approx (sin y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) x (.f64 z #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	47.3%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
	50.7%	(+.f64 (.f64 x #s(approx (sin y) (fma.f64 (fma.f64 y (/.f64 (.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) y) (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))) (.f64 z #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	51.6%	(+.f64 (.f64 x #s(approx (sin y) (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))) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
	60.8%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (fma.f64 (/.f64 z (cos.f64 y)) #s(literal 1/2 binary64) (.f64 (/.f64 z (cos.f64 y)) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
▶	99.1%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (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)) (/.f64 (sin.f64 y) (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)) (/.f64 z (cos.f64 y)))))
	60.8%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (/.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
✓	60.8%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))))
	26.8%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (.f64 (/.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 #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 z (cos.f64 y))))
	93.1%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (.f64 z (fma.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (.f64 z (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)))))
	25.7%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (.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))))
▶	35.3%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))) (.f64 z #s(literal -1/2 binary64))) z)))
	35.7%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)))
	35.4%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y)) z)))
	51.1%	#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 (.f64 y (.f64 y x)) #s(literal -1/6 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)) z))
	50.8%	#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
▶	51.9%	#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y #s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z))
▶	35.4%	#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) z))
	51.0%	#s(approx (+ (* (sin y) x) (* z (cos y))) (+.f64 (.f64 (fma.f64 z #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal -1/6 binary64)))) (.f64 y y)) (fma.f64 y x z)))
	93.8%	#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
	61.3%	#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 z (cos.f64 y)))
	90.5%	#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
	3.0%	#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x)) z) (.f64 (.f64 x (.f64 y y)) (.f64 y #s(literal -1/6 binary64)))))
✓	52.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	14.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (.f64 z z) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x))))))
	30.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x))))
	14.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x)))) (fma.f64 z (.f64 z z) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))))))
	32.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
▶	32.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
✓	40.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
	19.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (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))))
	19.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y))))
	19.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
	45.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 z (neg.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal -1 binary64))))))
	42.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
	47.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x)))))
✓	18.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
	19.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 y y)))) x))))
	19.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))))

Compiler

Compiled 1 682 to 908 computations (46% saved)

simplify345.0ms (3.4%)

Memory

9.5MiB live, 286.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	384	(fma.f64 z #s(literal 1/24 binary64) (*.f64 z #s(literal 1/4 binary64)))
cost-diff	512	(-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))
cost-diff	512	(-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64)))))
cost-diff	704	(fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (*.f64 z #s(literal -1/720 binary64))))
cost-diff	0	(fma.f64 y x z)
cost-diff	0	(.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z))
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
cost-diff	2368	(.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z)))
cost-diff	0	#s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 x (.f64 y #s(literal -1/6 binary64))))
cost-diff	0	(fma.f64 y #s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x)
cost-diff	0	(fma.f64 y (fma.f64 y #s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z)
cost-diff	0	#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y #s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z))
cost-diff	0	(.f64 y (.f64 z #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64))))
cost-diff	0	(fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) z)
cost-diff	0	#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) z))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 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)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
cost-diff	0	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (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)) (/.f64 (sin.f64 y) (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)) (/.f64 z (cos.f64 y)))))
cost-diff	7424	(fma.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (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)) (/.f64 z (cos.f64 y))))

Rules

17 730×	`lower-fma.f32`
17 706×	`lower-fma.f64`
4 432×	`lower-+.f64`
4 432×	`lower-+.f32`
3 034×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	794
0	141	755
1	283	663
2	718	607
3	2326	575
4	7451	575
0	8435	546

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (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)) (/.f64 (sin.f64 y) (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)) (/.f64 z (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)) (/.f64 (sin.f64 y) (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)) (/.f64 z (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)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(sin.f64 y)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(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)) (/.f64 z (cos.f64 y)))
(/.f64 z (cos.f64 y))
z
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) z))
(fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) z)
y
#s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64))))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y #s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z))
(fma.f64 y (fma.f64 y #s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z)
y
(fma.f64 y #s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x)
#s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 x (.f64 y #s(literal -1/6 binary64))))
(.f64 x (.f64 y #s(literal -1/6 binary64)))
x
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
z
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
(.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z)))
(.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z))
(fma.f64 y x z)
y
x
z
(-.f64 (*.f64 y x) z)
(*.f64 y x)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))
#s(literal 1 binary64)
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))) (.f64 z #s(literal -1/2 binary64))) z))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))) (.f64 z #s(literal -1/2 binary64))) z)
(*.f64 y y)
y
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))) (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (*.f64 z #s(literal 1/4 binary64)))))
(-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64)))))
(*.f64 z #s(literal -2/45 binary64))
z
#s(literal -2/45 binary64)
(fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (*.f64 z #s(literal -1/720 binary64))))
#s(literal -1/2 binary64)
(-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))
(*.f64 z #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(fma.f64 z #s(literal 1/24 binary64) (*.f64 z #s(literal 1/4 binary64)))
#s(literal 1/24 binary64)
(*.f64 z #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(fma.f64 z #s(literal -1/48 binary64) (*.f64 z #s(literal -1/720 binary64)))
#s(literal -1/48 binary64)
(*.f64 z #s(literal -1/720 binary64))
#s(literal -1/720 binary64)
(*.f64 z #s(literal -1/2 binary64))

Outputs
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (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)) (/.f64 (sin.f64 y) (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)) (/.f64 z (cos.f64 y)))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (fma.f64 x (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 z (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)) (/.f64 (sin.f64 y) (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)) (/.f64 z (cos.f64 y))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (fma.f64 x (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 z (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)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(sin.f64 y)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(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)) (/.f64 z (cos.f64 y)))
(/.f64 z (cos.f64 y))
z
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) z))
(fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) z)
y
#s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64))))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y #s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y #s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 #s(literal -1/6 binary64) (.f64 y x))) x) z))
(fma.f64 y (fma.f64 y #s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z)
(fma.f64 y (fma.f64 y #s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 #s(literal -1/6 binary64) (.f64 y x))) x) z)
y
(fma.f64 y #s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x)
(fma.f64 y #s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 #s(literal -1/6 binary64) (.f64 y x))) x)
#s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 x (.f64 y #s(literal -1/6 binary64))))
#s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 #s(literal -1/6 binary64) (.f64 y x)))
(.f64 x (.f64 y #s(literal -1/6 binary64)))
(.f64 #s(literal -1/6 binary64) (.f64 y x))
x
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
z
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z)))
(fma.f64 y x z)
(.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z))
(fma.f64 y x z)
y
x
z
(-.f64 (*.f64 y x) z)
(*.f64 y x)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))
#s(literal 1 binary64)
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (.f64 y (.f64 z #s(literal -1/720 binary64))) (.f64 z #s(literal 1/24 binary64)))) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))) (.f64 z #s(literal -1/2 binary64))) z))
#s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (.f64 y (.f64 z #s(literal -1/720 binary64))) (.f64 z #s(literal 1/24 binary64)))) (.f64 z #s(literal -1/2 binary64))) z))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))) (.f64 z #s(literal -1/2 binary64))) z)
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (.f64 y (.f64 z #s(literal -1/720 binary64))) (.f64 z #s(literal 1/24 binary64)))) (.f64 z #s(literal -1/2 binary64))) z)
(*.f64 y y)
y
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))) (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 y (.f64 y (fma.f64 y (.f64 y (.f64 z #s(literal -1/720 binary64))) (.f64 z #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (*.f64 z #s(literal 1/4 binary64)))))
(fma.f64 y (.f64 y (.f64 z #s(literal -1/720 binary64))) (*.f64 z #s(literal 1/24 binary64)))
(-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64)))))
(*.f64 z #s(literal -1/720 binary64))
(*.f64 z #s(literal -2/45 binary64))
z
#s(literal -2/45 binary64)
(fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (*.f64 z #s(literal -1/720 binary64))))
(*.f64 z #s(literal -31/720 binary64))
#s(literal -1/2 binary64)
(-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))
(*.f64 z #s(literal 1/24 binary64))
(*.f64 z #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(fma.f64 z #s(literal 1/24 binary64) (*.f64 z #s(literal 1/4 binary64)))
(*.f64 z #s(literal 7/24 binary64))
#s(literal 1/24 binary64)
(*.f64 z #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(fma.f64 z #s(literal -1/48 binary64) (*.f64 z #s(literal -1/720 binary64)))
(*.f64 z #s(literal -1/45 binary64))
#s(literal -1/48 binary64)
(*.f64 z #s(literal -1/720 binary64))
#s(literal -1/720 binary64)
(*.f64 z #s(literal -1/2 binary64))

localize503.0ms (5%)

Memory

28.9MiB live, 266.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.6464615173904447	(-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64)))))
accuracy	3.7599978678278094	(fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (*.f64 z #s(literal 1/4 binary64)))))
accuracy	20.916394173371483	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))) (.f64 z #s(literal -1/2 binary64))) z)))
accuracy	28.56818878477579	#s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))) (.f64 z #s(literal -1/2 binary64))) z))
accuracy	0.09765625	(.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z))
accuracy	0.2543242273665257	(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))
accuracy	25.788967736649212	(.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z)))
accuracy	27.792186478631404	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
accuracy	0.16015625	(.f64 x (.f64 y #s(literal -1/6 binary64)))
accuracy	0.28515625	(*.f64 y #s(literal -1/6 binary64))
accuracy	25.341812128045152	#s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 x (.f64 y #s(literal -1/6 binary64))))
accuracy	28.45471663081314	#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y #s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z))
accuracy	0	(.f64 y (.f64 z #s(literal -1/2 binary64)))
accuracy	0.03125	(fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) z)
accuracy	28.45471663081314	#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) z))
accuracy	37.598558014130205	#s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64))))
accuracy	0.1171875	(/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
accuracy	0.15625	(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
accuracy	0.20931625976844204	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
accuracy	0.4197843541243439	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))

Samples

163.0ms	177×	0	valid
136.0ms	34×	5	exit
75.0ms	45×	1	valid

Compiler

Compiled 602 to 81 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 330.0ms

ival-mult: 132.0ms (40% of total)

adjust: 79.0ms (23.9% of total)

ival-add: 38.0ms (11.5% of total)

ival-cos: 28.0ms (8.5% of total)

const: 26.0ms (7.9% of total)

ival-sub: 9.0ms (2.7% of total)

ival-div: 8.0ms (2.4% of total)

ival-sin: 5.0ms (1.5% of total)

ival-pow2: 3.0ms (0.9% of total)

exact: 1.0ms (0.3% of total)

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

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

series89.0ms (0.9%)

Memory

-0.4MiB live, 80.0MiB allocated

Counts

28 → 744

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)) (/.f64 (sin.f64 y) (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)) (/.f64 z (cos.f64 y))))>
#<alt #s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (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)) (/.f64 (sin.f64 y) (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)) (/.f64 z (cos.f64 y)))))>
#<alt (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))>
#<alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))>
#<alt #s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) z))>
#<alt (fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) z)>
#<alt #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64))))>
#<alt (.f64 y (.f64 z #s(literal -1/2 binary64)))>
#<alt #s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y #s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z))>
#<alt (fma.f64 y (fma.f64 y #s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z)>
#<alt (fma.f64 y #s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x)>
#<alt #s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 x (.f64 y #s(literal -1/6 binary64))))>
#<alt (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z)))>
#<alt #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))>
#<alt (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z))>
#<alt (fma.f64 y x z)>
#<alt (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (*.f64 z #s(literal -1/720 binary64))))>
#<alt (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64)))))>
#<alt (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))>
#<alt (fma.f64 z #s(literal 1/24 binary64) (*.f64 z #s(literal 1/4 binary64)))>
#<alt (pow.f64 (cos.f64 y) #s(literal 2 binary64))>
#<alt (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))>
#<alt (*.f64 y #s(literal -1/6 binary64))>
#<alt (.f64 x (.f64 y #s(literal -1/6 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))>
#<alt #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))) (.f64 z #s(literal -1/2 binary64))) z))>
#<alt #s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))) (.f64 z #s(literal -1/2 binary64))) z)))>
#<alt (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (*.f64 z #s(literal 1/4 binary64)))))>

Outputs
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))>
#<alt (* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))>
#<alt (* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* y (- (* -1 z) (* -1/2 z))))))>
#<alt (+ z (* y (+ x (* y (- (+ (* -1 z) (* y (- (* -7/6 x) (* -1 x)))) (* -1/2 z))))))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
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#<alt (* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))>
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#<alt (* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))>
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#<alt (* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))>
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#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
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#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))>
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#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))>
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#<alt (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))>
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#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
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#<alt (+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))>
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#<alt (* -1/2 z)>
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#<alt (+ (* -1/2 z) (* -1/6 (* x y)))>
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#<alt (* x (+ (* -1/2 (/ z x)) (* -1/6 y)))>
#<alt (* x (+ (* -1/2 (/ z x)) (* -1/6 y)))>
#<alt (* x (+ (* -1/2 (/ z x)) (* -1/6 y)))>
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#<alt (* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))>
#<alt (* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))>
#<alt (* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))>
#<alt (* -1/2 z)>
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#<alt (* y (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* y (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* y (+ (* -1/2 (/ z y)) (* -1/6 x)))>
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#<alt (* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y)))))>
#<alt (* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y)))))>
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#<alt (* -1/2 z)>
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#<alt (* z (- (* -1/6 (/ (* x y) z)) 1/2))>
#<alt (* z (- (* -1/6 (/ (* x y) z)) 1/2))>
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#<alt (* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))>
#<alt z>
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#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt z>
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#<alt (* x (+ y (/ z x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* x y)>
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#<alt z>
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#<alt z>
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#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
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#<alt (+ (* -1 (pow z 2)) (* y (+ (* -1 (* x z)) (+ (* x z) (* (pow x 2) y)))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (* x z) y) (pow x 2))))>
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#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (+ (* x z) (/ (pow z 2) y))) y)) (pow x 2)))>
#<alt (* -1 (pow z 2))>
#<alt (+ (* -1 (pow z 2)) (* x (+ (* -1 (* y z)) (* y z))))>
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#<alt (+ (* -1 (pow z 2)) (* x (+ (* -1 (* y z)) (+ (* x (pow y 2)) (* y z)))))>
#<alt (* (pow x 2) (pow y 2))>
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#<alt (* (pow x 2) (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (+ (/ (* y z) x) (pow y 2)))))>
#<alt (* (pow x 2) (pow y 2))>
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#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (* y z)) (+ (* y z) (/ (pow z 2) x))) x)) (pow y 2)))>
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#<alt (* (pow x 2) (pow y 2))>
#<alt (+ (* z (+ (* -1 (* x y)) (* x y))) (* (pow x 2) (pow y 2)))>
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#<alt (+ (* z (+ (* -1 z) (+ (* -1 (* x y)) (* x y)))) (* (pow x 2) (pow y 2)))>
#<alt (* -1 (pow z 2))>
#<alt (* (pow z 2) (- (+ (* -1 (/ (* x y) z)) (/ (* x y) z)) 1))>
#<alt (* (pow z 2) (- (+ (* -1 (/ (* x y) z)) (+ (/ (* x y) z) (/ (* (pow x 2) (pow y 2)) (pow z 2)))) 1))>
#<alt (* (pow z 2) (- (+ (* -1 (/ (* x y) z)) (+ (/ (* x y) z) (/ (* (pow x 2) (pow y 2)) (pow z 2)))) 1))>
#<alt (* -1 (pow z 2))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) z)) 1))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y))) z)) 1))>
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y))) z)) 1))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* x y)>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt z>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -31/720 z)>
#<alt (* -31/720 z)>
#<alt (* -31/720 z)>
#<alt (* -31/720 z)>
#<alt (* -31/720 z)>
#<alt (* -31/720 z)>
#<alt (* -31/720 z)>
#<alt (* -31/720 z)>
#<alt (* -31/720 z)>
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#<alt (* -31/720 z)>
#<alt (* -31/720 z)>
#<alt (* -1/720 z)>
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#<alt (* -1/720 z)>
#<alt (* -1/720 z)>
#<alt (* -1/720 z)>
#<alt (* 1/24 z)>
#<alt (* 1/24 z)>
#<alt (* 1/24 z)>
#<alt (* 1/24 z)>
#<alt (* 1/24 z)>
#<alt (* 1/24 z)>
#<alt (* 1/24 z)>
#<alt (* 1/24 z)>
#<alt (* 1/24 z)>
#<alt (* 1/24 z)>
#<alt (* 1/24 z)>
#<alt (* 1/24 z)>
#<alt (* 7/24 z)>
#<alt (* 7/24 z)>
#<alt (* 7/24 z)>
#<alt (* 7/24 z)>
#<alt (* 7/24 z)>
#<alt (* 7/24 z)>
#<alt (* 7/24 z)>
#<alt (* 7/24 z)>
#<alt (* 7/24 z)>
#<alt (* 7/24 z)>
#<alt (* 7/24 z)>
#<alt (* 7/24 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 (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 y>
#<alt (* y (+ 1 (* 5/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 5/6 (* 61/120 (pow y 2))))))>
#<alt (* y (+ 1 (* (pow y 2) (+ 5/6 (* (pow y 2) (+ 61/120 (* 277/1008 (pow y 2))))))))>
#<alt (/ (sin y) (pow (cos y) 2))>
#<alt (/ (sin y) (pow (cos y) 2))>
#<alt (/ (sin y) (pow (cos y) 2))>
#<alt (/ (sin y) (pow (cos y) 2))>
#<alt (/ (sin y) (pow (cos y) 2))>
#<alt (/ (sin y) (pow (cos y) 2))>
#<alt (/ (sin y) (pow (cos y) 2))>
#<alt (/ (sin y) (pow (cos y) 2))>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (/ -1 z)>
#<alt (- (* -1 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (- (* y (- (* -1 (/ (* (pow x 2) y) (pow z 3))) (/ x (pow z 2)))) (/ 1 z))>
#<alt (- (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (pow z 4))) (/ (pow x 2) (pow z 3)))) (/ x (pow z 2)))) (/ 1 z))>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (/ 1 x) (/ z (* (pow x 2) y))) y)>
#<alt (/ (- (+ (/ 1 x) (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* -1 (/ z (* (pow x 2) y)))) y)>
#<alt (/ (- (+ (/ 1 x) (/ (pow z 3) (* (pow x 4) (pow y 3)))) (+ (* -1 (/ z (* (pow x 2) y))) (* -1 (/ (pow z 2) (* (pow x 3) (pow y 2)))))) y)>
#<alt (/ 1 (* x y))>
#<alt (* -1 (/ (- (* -1 (/ z (* (pow x 2) y))) (/ 1 x)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* (pow x 3) y)) (* -1 (/ z (pow x 2)))) y)) (/ 1 x)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* (pow x 4) y))) (/ (pow z 2) (pow x 3))) y)) (* -1 (/ z (pow x 2)))) y)) (/ 1 x)) y))>
#<alt (/ -1 z)>
#<alt (- (* -1 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (- (* x (- (* -1 (/ (* x (pow y 2)) (pow z 3))) (/ y (pow z 2)))) (/ 1 z))>
#<alt (- (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow z 4))) (/ (pow y 2) (pow z 3)))) (/ y (pow z 2)))) (/ 1 z))>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (/ 1 y) (/ z (* x (pow y 2)))) x)>
#<alt (/ (- (+ (/ 1 y) (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* -1 (/ z (* x (pow y 2))))) x)>
#<alt (/ (- (+ (/ 1 y) (/ (pow z 3) (* (pow x 3) (pow y 4)))) (+ (* -1 (/ z (* x (pow y 2)))) (* -1 (/ (pow z 2) (* (pow x 2) (pow y 3)))))) x)>
#<alt (/ 1 (* x y))>
#<alt (* -1 (/ (- (* -1 (/ z (* x (pow y 2)))) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* x (pow y 3))) (* -1 (/ z (pow y 2)))) x)) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* x (pow y 4)))) (/ (pow z 2) (pow y 3))) x)) (* -1 (/ z (pow y 2)))) x)) (/ 1 y)) x))>
#<alt (/ 1 (* x y))>
#<alt (+ (/ 1 (* x y)) (/ z (* (pow x 2) (pow y 2))))>
#<alt (+ (* z (+ (/ 1 (* (pow x 2) (pow y 2))) (/ z (* (pow x 3) (pow y 3))))) (/ 1 (* x y)))>
#<alt (+ (* z (+ (* z (+ (/ 1 (* (pow x 3) (pow y 3))) (/ z (* (pow x 4) (pow y 4))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))>
#<alt (/ -1 z)>
#<alt (/ (- (* -1 (/ (* x y) z)) 1) z)>
#<alt (/ (- (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ 1 (/ (* x y) z))) z)>
#<alt (/ (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ 1 (+ (/ (* x y) z) (/ (* (pow x 2) (pow y 2)) (pow z 2))))) z)>
#<alt (/ -1 z)>
#<alt (* -1 (/ (+ 1 (/ (* x y) z)) z))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y)) z))) z))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow y 3)) z) (* -1 (* (pow x 2) (pow y 2)))) z)) (* x y)) z))) z))>
#<alt z>
#<alt (+ z (* (pow y 2) (- (* -1 z) (* -1/2 z))))>
#<alt (+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))>
#<alt (+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (+ (* 1/3 z) (* (pow y 2) (- (* -2/45 z) (+ (* -1/2 (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z)))) (+ (* -1/720 z) (* 1/24 (- (* -1 z) (* -1/2 z)))))))) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (+ (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))>
#<alt (+ (* z (- (* z (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (+ (* z (- (* z (- (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (/ (* z (* (cos y) (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3))))))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (- (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow z 3) (cos y)))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (sin y) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* z (cos y))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))>
#<alt z>
#<alt (+ z (* x y))>
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#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* x (- (* x (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* x (- (* x (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (/ (* x (* (sin y) (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y)))))))) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (* -1 (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y)))>
#<alt (* x (+ (* -1 (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2)))) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y)))))>
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y)))) (+ (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (* (pow x 2) (pow (sin y) 3))))))>
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (+ (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y))) (/ (* z (* (cos y) (- (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3))))) (* (pow x 3) (sin y))))) (+ (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (* (pow x 2) (pow (sin y) 3))))))>
#<alt (* -1 (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y)))>
#<alt (* -1 (* x (- (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) x)) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) x)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (cos y) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))))) (* x (sin y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) x)) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) x)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))>
#<alt (- (* 1/3 z) (+ (* 1/24 z) (* 1/4 z)))>
#<alt (- (+ (* 1/3 z) (* (pow y 2) (- (* -2/45 z) (+ (* -1/2 (- (* 1/3 z) (+ (* 1/24 z) (* 1/4 z)))) (+ (* -1/48 z) (* -1/720 z)))))) (+ (* 1/24 z) (* 1/4 z)))>
#<alt (- (+ (* 1/3 z) (* (pow y 2) (- (* -2/45 z) (+ (* -1/2 (- (* 1/3 z) (+ (* 1/24 z) (* 1/4 z)))) (+ (* -1/48 z) (* -1/720 z)))))) (+ (* 1/24 z) (* 1/4 z)))>
#<alt (- (+ (* 1/3 z) (* (pow y 2) (- (* -2/45 z) (+ (* -1/2 (- (* 1/3 z) (+ (* 1/24 z) (* 1/4 z)))) (+ (* -1/48 z) (* -1/720 z)))))) (+ (* 1/24 z) (* 1/4 z)))>
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#<alt (* (pow y 2) (- (+ (* -2/45 z) (* 1/3 (/ z (pow y 2)))) (+ (* -1/2 (- (* 1/3 z) (+ (* 1/24 z) (* 1/4 z)))) (+ (* -1/48 z) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (* 1/4 (/ z (pow y 2)))))))))>
#<alt (* (pow y 2) (- (+ (* -2/45 z) (* 1/3 (/ z (pow y 2)))) (+ (* -1/2 (- (* 1/3 z) (+ (* 1/24 z) (* 1/4 z)))) (+ (* -1/48 z) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (* 1/4 (/ z (pow y 2)))))))))>
#<alt (* (pow y 2) (- (* -2/45 z) (+ (* -1/2 (- (* 1/3 z) (+ (* 1/24 z) (* 1/4 z)))) (+ (* -1/48 z) (* -1/720 z)))))>
#<alt (* (pow y 2) (- (+ (* -2/45 z) (* 1/3 (/ z (pow y 2)))) (+ (* -1/2 (- (* 1/3 z) (+ (* 1/24 z) (* 1/4 z)))) (+ (* -1/48 z) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (* 1/4 (/ z (pow y 2)))))))))>
#<alt (* (pow y 2) (- (+ (* -2/45 z) (* 1/3 (/ z (pow y 2)))) (+ (* -1/2 (- (* 1/3 z) (+ (* 1/24 z) (* 1/4 z)))) (+ (* -1/48 z) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (* 1/4 (/ z (pow y 2)))))))))>
#<alt (* (pow y 2) (- (+ (* -2/45 z) (* 1/3 (/ z (pow y 2)))) (+ (* -1/2 (- (* 1/3 z) (+ (* 1/24 z) (* 1/4 z)))) (+ (* -1/48 z) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (* 1/4 (/ z (pow y 2)))))))))>
#<alt (* z (+ 1/24 (* -1/720 (pow y 2))))>
#<alt (* z (+ 1/24 (* -1/720 (pow y 2))))>
#<alt (* z (+ 1/24 (* -1/720 (pow y 2))))>
#<alt (* z (+ 1/24 (* -1/720 (pow y 2))))>
#<alt (* z (+ 1/24 (* -1/720 (pow y 2))))>
#<alt (* z (+ 1/24 (* -1/720 (pow y 2))))>
#<alt (* z (+ 1/24 (* -1/720 (pow y 2))))>
#<alt (* z (+ 1/24 (* -1/720 (pow y 2))))>
#<alt (* -1 (* z (- (* 1/720 (pow y 2)) 1/24)))>
#<alt (* -1 (* z (- (* 1/720 (pow y 2)) 1/24)))>
#<alt (* -1 (* z (- (* 1/720 (pow y 2)) 1/24)))>
#<alt (* -1 (* z (- (* 1/720 (pow y 2)) 1/24)))>

Calls

186 calls:

Time	Variable		Point	Expression
28.0ms	z	@	inf	(- (* z -2/45) (+ (* -1/2 (- (* z 1/3) (+ (* z 1/24) (* z 1/4)))) (+ (* z -1/48) (* z -1/720))))
22.0ms	y	@	0	(+ (* x (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ (sin y) (pow (cos y) 2)))) (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))))
2.0ms	y	@	inf	(+ (* x (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ (sin y) (pow (cos y) 2)))) (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))))
1.0ms	x	@	0	(+ (* x (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ (sin y) (pow (cos y) 2)))) (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))))
1.0ms	y	@	-inf	(+ (* x (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ (sin y) (pow (cos y) 2)))) (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))))

simplify722.0ms (7.1%)

Memory

-16.6MiB live, 537.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 450×	`lower-fma.f64`
9 450×	`lower-fma.f32`
7 248×	`lower-*.f64`
7 248×	`lower-*.f32`
4 130×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	869	11854
1	2955	11301
0	8688	10492

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 723

Calls

Call 1

Inputs
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
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(+ (/ 1 (* x y)) (/ z (* (pow x 2) (pow y 2))))
(+ (* z (+ (/ 1 (* (pow x 2) (pow y 2))) (/ z (* (pow x 3) (pow y 3))))) (/ 1 (* x y)))
(+ (* z (+ (* z (+ (/ 1 (* (pow x 3) (pow y 3))) (/ z (* (pow x 4) (pow y 4))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))
(/ -1 z)
(/ (- (* -1 (/ (* x y) z)) 1) z)
(/ (- (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ 1 (/ (* x y) z))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ 1 (+ (/ (* x y) z) (/ (* (pow x 2) (pow y 2)) (pow z 2))))) z)
(/ -1 z)
(* -1 (/ (+ 1 (/ (* x y) z)) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y)) z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow y 3)) z) (* -1 (* (pow x 2) (pow y 2)))) z)) (* x y)) z))) z))
z
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(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
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(/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(+ (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))
(+ (* z (- (* z (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
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(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))
(* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))
(* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (- (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow z 3) (cos y)))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))
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z
(+ z (* x y))
(+ z (* y (- (* y (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))
(+ z (* y (- (* y (- (+ (* -1 z) (* -1 (* y (+ (* -1 (/ (* x (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) z)) (+ (* -1/2 x) (* 1/6 x)))))) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))
(/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))
(/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))
(/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))
(/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))
(/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))
(/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))
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(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
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(+ (* x (- (* x (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (/ (* x (* (sin y) (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y)))))))) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(* -1 (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y)))
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(* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y)))) (+ (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (* (pow x 2) (pow (sin y) 3))))))
(* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (+ (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y))) (/ (* z (* (cos y) (- (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3))))) (* (pow x 3) (sin y))))) (+ (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (* (pow x 2) (pow (sin y) 3))))))
(* -1 (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y)))
(* -1 (* x (- (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) x)) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) x)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (cos y) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))))) (* x (sin y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) x)) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) x)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))
(- (* 1/3 z) (+ (* 1/24 z) (* 1/4 z)))
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(* (pow y 2) (- (+ (* -2/45 z) (* 1/3 (/ z (pow y 2)))) (+ (* -1/2 (- (* 1/3 z) (+ (* 1/24 z) (* 1/4 z)))) (+ (* -1/48 z) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (* 1/4 (/ z (pow y 2)))))))))
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(* (pow y 2) (- (* -2/45 z) (+ (* -1/2 (- (* 1/3 z) (+ (* 1/24 z) (* 1/4 z)))) (+ (* -1/48 z) (* -1/720 z)))))
(* (pow y 2) (- (+ (* -2/45 z) (* 1/3 (/ z (pow y 2)))) (+ (* -1/2 (- (* 1/3 z) (+ (* 1/24 z) (* 1/4 z)))) (+ (* -1/48 z) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (* 1/4 (/ z (pow y 2)))))))))
(* (pow y 2) (- (+ (* -2/45 z) (* 1/3 (/ z (pow y 2)))) (+ (* -1/2 (- (* 1/3 z) (+ (* 1/24 z) (* 1/4 z)))) (+ (* -1/48 z) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (* 1/4 (/ z (pow y 2)))))))))
(* (pow y 2) (- (+ (* -2/45 z) (* 1/3 (/ z (pow y 2)))) (+ (* -1/2 (- (* 1/3 z) (+ (* 1/24 z) (* 1/4 z)))) (+ (* -1/48 z) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (* 1/4 (/ z (pow y 2)))))))))
(* z (+ 1/24 (* -1/720 (pow y 2))))
(* z (+ 1/24 (* -1/720 (pow y 2))))
(* z (+ 1/24 (* -1/720 (pow y 2))))
(* z (+ 1/24 (* -1/720 (pow y 2))))
(* z (+ 1/24 (* -1/720 (pow y 2))))
(* z (+ 1/24 (* -1/720 (pow y 2))))
(* z (+ 1/24 (* -1/720 (pow y 2))))
(* z (+ 1/24 (* -1/720 (pow y 2))))
(* -1 (* z (- (* 1/720 (pow y 2)) 1/24)))
(* -1 (* z (- (* 1/720 (pow y 2)) 1/24)))
(* -1 (* z (- (* 1/720 (pow y 2)) 1/24)))
(* -1 (* z (- (* 1/720 (pow y 2)) 1/24)))

Outputs
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (.f64 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (.f64 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (.f64 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (*.f64 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(.f64 x (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (.f64 (cos.f64 y) x)) (/.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(.f64 x (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (.f64 (cos.f64 y) x)) (/.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(.f64 x (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (.f64 (cos.f64 y) x)) (/.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (*.f64 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))
(.f64 x (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (.f64 (cos.f64 y) x)) (/.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))
(.f64 x (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (.f64 (cos.f64 y) x)) (/.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))
(.f64 x (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (.f64 (cos.f64 y) x)) (/.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
z
(+ z (* x y))
(fma.f64 y x z)
(+ z (* y (+ x (* y (- (* -1 z) (* -1/2 z))))))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
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(/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))
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(/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))
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(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
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(* -1 (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y)))
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(* x (+ (* -1 (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2)))) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y)))))
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(* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (+ (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y))) (/ (* z (* (cos y) (- (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3))))) (* (pow x 3) (sin y))))) (+ (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (* (pow x 2) (pow (sin y) 3))))))
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(* -1 (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y)))
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(* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) x)) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) x)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))
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(* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (cos y) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))))) (* x (sin y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) x)) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) x)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))
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y
(* y (+ 1 (* -1/6 (pow y 2))))
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(* (pow y 2) (- (+ (* -2/45 z) (* 1/3 (/ z (pow y 2)))) (+ (* -1/2 (- (* 1/3 z) (+ (* 1/24 z) (* 1/4 z)))) (+ (* -1/48 z) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (* 1/4 (/ z (pow y 2)))))))))
(.f64 (.f64 y y) (-.f64 (fma.f64 z #s(literal -2/45 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 z (.f64 y y)))) (fma.f64 z #s(literal -1/45 binary64) (fma.f64 (/.f64 z (.f64 y y)) #s(literal 7/24 binary64) (.f64 z #s(literal -1/48 binary64))))))
(* (pow y 2) (- (+ (* -2/45 z) (* 1/3 (/ z (pow y 2)))) (+ (* -1/2 (- (* 1/3 z) (+ (* 1/24 z) (* 1/4 z)))) (+ (* -1/48 z) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (* 1/4 (/ z (pow y 2)))))))))
(.f64 (.f64 y y) (-.f64 (fma.f64 z #s(literal -2/45 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 z (.f64 y y)))) (fma.f64 z #s(literal -1/45 binary64) (fma.f64 (/.f64 z (.f64 y y)) #s(literal 7/24 binary64) (.f64 z #s(literal -1/48 binary64))))))
(* z (+ 1/24 (* -1/720 (pow y 2))))
(.f64 z (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(* z (+ 1/24 (* -1/720 (pow y 2))))
(.f64 z (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(* z (+ 1/24 (* -1/720 (pow y 2))))
(.f64 z (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(* z (+ 1/24 (* -1/720 (pow y 2))))
(.f64 z (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(* z (+ 1/24 (* -1/720 (pow y 2))))
(.f64 z (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(* z (+ 1/24 (* -1/720 (pow y 2))))
(.f64 z (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(* z (+ 1/24 (* -1/720 (pow y 2))))
(.f64 z (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(* z (+ 1/24 (* -1/720 (pow y 2))))
(.f64 z (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(* -1 (* z (- (* 1/720 (pow y 2)) 1/24)))
(.f64 (neg.f64 z) (fma.f64 (.f64 y y) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
(* -1 (* z (- (* 1/720 (pow y 2)) 1/24)))
(.f64 (neg.f64 z) (fma.f64 (.f64 y y) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
(* -1 (* z (- (* 1/720 (pow y 2)) 1/24)))
(.f64 (neg.f64 z) (fma.f64 (.f64 y y) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
(* -1 (* z (- (* 1/720 (pow y 2)) 1/24)))
(.f64 (neg.f64 z) (fma.f64 (.f64 y y) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))

rewrite304.0ms (3%)

Memory

1.6MiB live, 563.5MiB allocated

Rules

5 868×	`lower-fma.f32`
5 844×	`lower-fma.f64`
5 458×	`lower-*.f32`
5 428×	`lower-*.f64`
2 298×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	615
0	141	578
1	577	453
2	5033	445
0	8082	430

Stop Event

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

Counts

28 → 513

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)) (/.f64 (sin.f64 y) (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)) (/.f64 z (cos.f64 y))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (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)) (/.f64 (sin.f64 y) (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)) (/.f64 z (cos.f64 y)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) z))
(fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) z)
#s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64))))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y #s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z))
(fma.f64 y (fma.f64 y #s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z)
(fma.f64 y #s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x)
#s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 x (.f64 y #s(literal -1/6 binary64))))
(.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
(.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z))
(fma.f64 y x z)
(fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (*.f64 z #s(literal -1/720 binary64))))
(-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64)))))
(-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))
(fma.f64 z #s(literal 1/24 binary64) (*.f64 z #s(literal 1/4 binary64)))
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(*.f64 y #s(literal -1/6 binary64))
(.f64 x (.f64 y #s(literal -1/6 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))
#s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))) (.f64 z #s(literal -1/2 binary64))) z))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))) (.f64 z #s(literal -1/2 binary64))) z)))
(fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (*.f64 z #s(literal 1/4 binary64)))))

Outputs
(+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))) (.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (tan.f64 y) (cos.f64 y)))))
(+.f64 (.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (tan.f64 y) (cos.f64 y)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))))
(-.f64 (/.f64 (pow.f64 (.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (tan.f64 y) (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)) (/.f64 (tan.f64 y) (cos.f64 y))) (.f64 (neg.f64 (/.f64 z (cos.f64 y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (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)) (/.f64 (tan.f64 y) (cos.f64 y))) (.f64 (neg.f64 (/.f64 z (cos.f64 y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #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)) (/.f64 (tan.f64 y) (cos.f64 y))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (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 z (cos.f64 y)) (.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (tan.f64 y) (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 (tan.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)) (/.f64 z (cos.f64 y))))
(fma.f64 (/.f64 (tan.f64 y) (cos.f64 y)) (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #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 (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 (tan.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)) (/.f64 z (cos.f64 y))))
(fma.f64 z (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (tan.f64 y) (cos.f64 y)))))
(fma.f64 (/.f64 z (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (tan.f64 y) (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 (tan.f64 y) (cos.f64 y)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (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)) z) (/.f64 #s(literal 1 binary64) (cos.f64 y)) (.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (tan.f64 y) (cos.f64 y)))))
(fma.f64 (.f64 x (/.f64 (tan.f64 y) (cos.f64 y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #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 (cos.f64 y))))
(fma.f64 (.f64 (.f64 x (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 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (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 (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 (cos.f64 y))) (.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (tan.f64 y) (cos.f64 y))))) (pow.f64 (.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (tan.f64 y) (cos.f64 y)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (tan.f64 y) (cos.f64 y)))) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (tan.f64 y) (cos.f64 y))) (.f64 (neg.f64 (/.f64 z (cos.f64 y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (pow.f64 (.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (tan.f64 y) (cos.f64 y)))) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (tan.f64 y) (cos.f64 y)))) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))) #s(literal 3 binary64))) (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 (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 (cos.f64 y))) (.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (tan.f64 y) (cos.f64 y))))) (pow.f64 (.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (tan.f64 y) (cos.f64 y)))) #s(literal 2 binary64))))
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(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 z #s(literal 1/24 binary64)) (.f64 z #s(literal -1/45 binary64)))) (.f64 y y) (.f64 z #s(literal 1/3 binary64))) #s(literal 3 binary64)) (.f64 (.f64 z (.f64 z z)) #s(literal 343/13824 binary64))) (fma.f64 (fma.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 z #s(literal 1/24 binary64)) (.f64 z #s(literal -1/45 binary64)))) (.f64 y y) (.f64 z #s(literal 1/3 binary64))) (fma.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 z #s(literal 1/24 binary64)) (.f64 z #s(literal -1/45 binary64)))) (.f64 y y) (.f64 z #s(literal 1/3 binary64))) (fma.f64 (.f64 z z) #s(literal 49/576 binary64) (.f64 (fma.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 z #s(literal 1/24 binary64)) (.f64 z #s(literal -1/45 binary64)))) (.f64 y y) (.f64 z #s(literal 1/3 binary64))) (.f64 z #s(literal 7/24 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 z z) #s(literal 1/576 binary64)) (.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 z #s(literal 1/24 binary64)) (.f64 z #s(literal -1/45 binary64)))) (.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 z #s(literal 1/24 binary64)) (.f64 z #s(literal -1/45 binary64)))) (.f64 (.f64 y y) (.f64 y y))))) (-.f64 (.f64 z #s(literal 1/24 binary64)) (.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 z #s(literal 1/24 binary64)) (.f64 z #s(literal -1/45 binary64)))) (*.f64 y y))))
(/.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 z #s(literal 1/24 binary64)) (.f64 z #s(literal -1/45 binary64)))) (.f64 y y) (.f64 z #s(literal 1/3 binary64))) (fma.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 z #s(literal 1/24 binary64)) (.f64 z #s(literal -1/45 binary64)))) (.f64 y y) (.f64 z #s(literal 1/3 binary64)))) (.f64 (.f64 z z) #s(literal 49/576 binary64))) (+.f64 (fma.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 z #s(literal 1/24 binary64)) (.f64 z #s(literal -1/45 binary64)))) (.f64 y y) (.f64 z #s(literal 1/3 binary64))) (*.f64 z #s(literal 7/24 binary64))))
(pow.f64 (/.f64 (fma.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 z #s(literal 1/24 binary64)) (.f64 z #s(literal -1/45 binary64)))) (.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 z #s(literal 1/24 binary64)) (.f64 z #s(literal -1/45 binary64)))) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 z #s(literal 1/24 binary64)) (-.f64 (.f64 z #s(literal 1/24 binary64)) (.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 z #s(literal 1/24 binary64)) (.f64 z #s(literal -1/45 binary64)))) (.f64 y y))))) (fma.f64 (.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 z #s(literal 1/24 binary64)) (.f64 z #s(literal -1/45 binary64)))) (.f64 y y)) (.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 z #s(literal 1/24 binary64)) (.f64 z #s(literal -1/45 binary64)))) (.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 z #s(literal 1/24 binary64)) (.f64 z #s(literal -1/45 binary64)))) (.f64 (.f64 y y) (.f64 y y)))) (.f64 (.f64 z (*.f64 z z)) #s(literal 1/13824 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 z #s(literal 1/24 binary64)) (.f64 z #s(literal -1/45 binary64)))) (.f64 y y)) (.f64 z #s(literal 1/24 binary64))) (fma.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 z #s(literal 1/24 binary64)) (.f64 z #s(literal -1/45 binary64)))) (.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 z #s(literal 1/24 binary64)) (.f64 z #s(literal -1/45 binary64)))) (.f64 (.f64 y y) (.f64 y y))) (neg.f64 (.f64 (.f64 z z) #s(literal 1/576 binary64))))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 z #s(literal 1/24 binary64)) (.f64 z #s(literal -1/45 binary64)))) (.f64 y y)) (.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 z #s(literal 1/24 binary64)) (.f64 z #s(literal -1/45 binary64)))) (.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 z #s(literal 1/24 binary64)) (.f64 z #s(literal -1/45 binary64)))) (.f64 (.f64 y y) (.f64 y y)))) (.f64 (.f64 z (.f64 z z)) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 z #s(literal 1/24 binary64)) (.f64 z #s(literal -1/45 binary64)))) (.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 z #s(literal 1/24 binary64)) (.f64 z #s(literal -1/45 binary64)))) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 z #s(literal 1/24 binary64)) (-.f64 (.f64 z #s(literal 1/24 binary64)) (.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 z #s(literal 1/24 binary64)) (.f64 z #s(literal -1/45 binary64)))) (.f64 y y)))))))
(.f64 (fma.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 z #s(literal 1/24 binary64)) (.f64 z #s(literal -1/45 binary64)))) (.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 z #s(literal 1/24 binary64)) (.f64 z #s(literal -1/45 binary64)))) (.f64 (.f64 y y) (.f64 y y))) (neg.f64 (.f64 (.f64 z z) #s(literal 1/576 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 z #s(literal 1/24 binary64)) (.f64 z #s(literal -1/45 binary64)))) (.f64 y y)) (*.f64 z #s(literal 1/24 binary64)))))

eval280.0ms (2.8%)

Memory: 37.3MiB live, 540.2MiB allocated
Compiler: Compiled 46 102 to 3 114 computations (93.2% saved)

prune212.0ms (2.1%)

Memory

-41.4MiB live, 532.7MiB allocated

Pruning

55 alts after pruning (47 fresh and 8 done)

	Pruned	Kept	Total
New	1 346	22	1 368
Fresh	6	25	31
Picked	3	2	5
Done	0	6	6
Total	1 355	55	1 410

Accuracy

100.0%

Counts

1 410 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
	76.0%	(fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	50.9%	(fma.f64 #s(approx (sin y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) x (.f64 z #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	50.7%	(+.f64 (.f64 x #s(approx (sin y) (fma.f64 (fma.f64 y (/.f64 (.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) y) (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))) (.f64 z #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	51.6%	(+.f64 (.f64 x #s(approx (sin y) (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))) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
	99.2%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin 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 (tan.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)) (/.f64 z (cos.f64 y)))))
	60.8%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (fma.f64 (/.f64 z (cos.f64 y)) #s(literal 1/2 binary64) (.f64 (/.f64 z (cos.f64 y)) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
	60.8%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (/.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
	25.7%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))))) (sin.f64 y)))
✓	60.8%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))))
	26.8%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (.f64 (/.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 #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 z (cos.f64 y))))
	25.7%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (.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))))
	50.8%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (+ (* x (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ (sin y) (pow (cos y) 2)))) (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y)))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)))
	40.6%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (+ (* x (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ (sin y) (pow (cos y) 2)))) (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y)))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (*.f64 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
	35.4%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y) z)))
	35.7%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 (.f64 z #s(literal 1/24 binary64)) y) y (.f64 z #s(literal -1/2 binary64))) z)))
	35.3%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 z #s(literal 7/24 binary64) (.f64 #s(literal -1/4 binary64) z)) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))) (*.f64 z #s(literal -1/2 binary64))) z)))
	35.7%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)))
	35.3%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(approx (+ (* (* y y) (- (* z -2/45) (+ (* -1/2 (- (* z 1/3) (+ (* z 1/24) (* z 1/4)))) (+ (* z -1/48) (* z -1/720))))) (- (* z 1/3) (+ (* z 1/24) (* z 1/4)))) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)))
	35.7%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(approx (+ (* (* y y) (- (* z -2/45) (+ (* -1/2 (- (* z 1/3) (+ (* z 1/24) (* z 1/4)))) (+ (* z -1/48) (* z -1/720))))) (- (* z 1/3) (+ (* z 1/24) (* z 1/4)))) (.f64 z #s(literal 1/24 binary64))) (.f64 z #s(literal -1/2 binary64))) z)))
	51.1%	#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 (.f64 y (.f64 y x)) #s(literal -1/6 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)) z))
✓	51.9%	#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y #s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z))
✓	35.4%	#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) z))
	21.2%	#s(approx (+ (* (sin y) x) (* z (cos y))) (/.f64 (.f64 (fma.f64 y #s(approx (+ ( y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) z) (fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (neg.f64 z))) (fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (neg.f64 z))))
	51.0%	#s(approx (+ (* (sin y) x) (* z (cos y))) (+.f64 (.f64 (fma.f64 z #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal -1/6 binary64)))) (.f64 y y)) (fma.f64 y x z)))
	93.8%	#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
	61.3%	#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 z (cos.f64 y)))
	90.5%	#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
	3.0%	#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x)) z) (.f64 (.f64 x (.f64 y y)) (.f64 y #s(literal -1/6 binary64)))))
	3.0%	#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x)) z) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))))
✓	52.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	30.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x))))
	14.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x)))) (fma.f64 z (.f64 z z) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))))))
	24.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (fma.f64 (.f64 y y) (.f64 x x) (.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
	51.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (-.f64 (.f64 x y) z) (.f64 (fma.f64 x y z) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)))))
	30.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))) (fma.f64 x y z))))
	8.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) #s(approx (/ 1 (- ( y x) z)) (/.f64 (+.f64 (/.f64 z (.f64 (.f64 y (neg.f64 y)) x)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)))))
	11.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) #s(approx (/ 1 (- ( y x) z)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (.f64 y (.f64 y x)))) x))))
	12.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) #s(approx (/ 1 (- ( y x) z)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))))
	32.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
	13.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx ( (+ (* y x) z) (- (* y x) z)) (.f64 (.f64 y y) (-.f64 (.f64 x x) (/.f64 (+.f64 (/.f64 (.f64 z z) y) #s(literal 0 binary64)) y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
	22.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx ( (+ (* y x) z) (- (* y x) z)) (.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
	7.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx ( (+ (* y x) z) (- (* y x) z)) (.f64 y (.f64 y (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
✓	40.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
	19.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (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))))
	19.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y))))
	19.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
	45.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 z (neg.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal -1 binary64))))))
	42.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
	47.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x)))))
✓	18.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
	49.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (* (+ (* y x) z) (- (* y x) z)) (/ 1 (- (* y x) z))) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
	19.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 y y)))) x))))
	19.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))))

Compiler

Compiled 2 865 to 940 computations (67.2% saved)

regimes135.0ms (1.3%)

Memory

3.5MiB live, 207.9MiB allocated

Counts

86 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) z))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y)) z)))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (+ (* x (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ (sin y) (pow (cos y) 2)))) (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y)))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x)) z) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))))
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x)) z) (.f64 (.f64 x (.f64 y y)) (.f64 y #s(literal -1/6 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y #s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z))
(+.f64 #s(approx (* x (sin y)) (.f64 x y)) (.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (* (+ (* y x) z) (- (* y x) z)) (/ 1 (- (* y x) z))) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 z (neg.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal -1 binary64))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 y x) #s(literal -1/6 binary64))) x) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx ( (+ (* y x) z) (- (* y x) z)) (.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(approx (+ (* (* y y) (- (* z -2/45) (+ (* -1/2 (- (* z 1/3) (+ (* z 1/24) (* z 1/4)))) (+ (* z -1/48) (* z -1/720))))) (- (* z 1/3) (+ (* z 1/24) (* z 1/4)))) (.f64 z #s(literal 1/24 binary64))) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 (.f64 z #s(literal 1/24 binary64)) y) y (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 (.f64 y (.f64 y x)) #s(literal -1/6 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (+.f64 (.f64 (fma.f64 z #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal -1/6 binary64)))) (.f64 y y)) (fma.f64 y x z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 y y)))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx ( (+ (* y x) z) (- (* y x) z)) (.f64 y (.f64 y (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) #s(approx (/ 1 (- ( y x) z)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (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))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (-.f64 (.f64 x y) z) (.f64 (fma.f64 x y z) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(approx (+ (* (* y y) (- (* z -2/45) (+ (* -1/2 (- (* z 1/3) (+ (* z 1/24) (* z 1/4)))) (+ (* z -1/48) (* z -1/720))))) (- (* z 1/3) (+ (* z 1/24) (* z 1/4)))) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (fma.f64 (.f64 y y) (.f64 x x) (.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
(+.f64 (.f64 x #s(approx (sin y) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y))) (.f64 z #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 x #s(approx (sin y) (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))) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(fma.f64 #s(approx (sin y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) x (.f64 z #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 x #s(approx (sin y) (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))) (.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))) (fma.f64 x y z))))
#s(approx (+ (* (sin y) x) (* z (cos y))) (/.f64 (.f64 (fma.f64 y #s(approx (+ ( y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) z) (fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (neg.f64 z))) (fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (neg.f64 z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) #s(approx (/ 1 (- ( y x) z)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (.f64 y (.f64 y x)))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx ( (+ (* y x) z) (- (* y x) z)) (.f64 (.f64 y y) (-.f64 (.f64 x x) (/.f64 (+.f64 (/.f64 (.f64 z z) y) #s(literal 0 binary64)) y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) #s(approx (/ 1 (- ( y x) z)) (/.f64 (+.f64 (/.f64 z (.f64 (.f64 y (neg.f64 y)) x)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (.f64 z z) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x)))) (fma.f64 z (.f64 z z) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 z #s(literal 7/24 binary64) (.f64 #s(literal -1/4 binary64) z)) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))) (*.f64 z #s(literal -1/2 binary64))) z)))
(+.f64 (.f64 x #s(approx (sin y) (fma.f64 (fma.f64 y (/.f64 (.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) y) (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))) (.f64 z #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 y x) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))) (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (.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))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (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 (sin.f64 y))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (/.f64 (.f64 z (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 (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))))) (sin.f64 y)))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (fma.f64 (/.f64 z (cos.f64 y)) #s(literal 1/2 binary64) (.f64 (/.f64 z (cos.f64 y)) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(/.f64 #s(approx (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (.f64 (/.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 #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 z (cos.f64 y))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (+ (* x (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ (sin y) (pow (cos y) 2)))) (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y)))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (*.f64 x (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(/.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 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(/.f64 (-.f64 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin 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 (tan.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)) (/.f64 z (cos.f64 y)))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (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)) (/.f64 (sin.f64 y) (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)) (/.f64 z (cos.f64 y)))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (fma.f64 z (/.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 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (.f64 x (fma.f64 z (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (.f64 x (pow.f64 (sin.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)) (sin.f64 y)))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (.f64 z (fma.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (.f64 z (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)))))
(fma.f64 x (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.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) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (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 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.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) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (.f64 z (fma.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (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))))))

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

Calls

4 calls:

46.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
32.0ms	x
26.0ms	y
26.0ms	z

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes87.0ms (0.9%)

Memory

2.5MiB live, 160.6MiB allocated

Counts

61 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) z))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y)) z)))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (+ (* x (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ (sin y) (pow (cos y) 2)))) (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y)))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x)) z) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))))
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x)) z) (.f64 (.f64 x (.f64 y y)) (.f64 y #s(literal -1/6 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y #s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z))
(+.f64 #s(approx (* x (sin y)) (.f64 x y)) (.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (* (+ (* y x) z) (- (* y x) z)) (/ 1 (- (* y x) z))) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 z (neg.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal -1 binary64))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 y x) #s(literal -1/6 binary64))) x) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx ( (+ (* y x) z) (- (* y x) z)) (.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(approx (+ (* (* y y) (- (* z -2/45) (+ (* -1/2 (- (* z 1/3) (+ (* z 1/24) (* z 1/4)))) (+ (* z -1/48) (* z -1/720))))) (- (* z 1/3) (+ (* z 1/24) (* z 1/4)))) (.f64 z #s(literal 1/24 binary64))) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 (.f64 z #s(literal 1/24 binary64)) y) y (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 (.f64 y (.f64 y x)) #s(literal -1/6 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (+.f64 (.f64 (fma.f64 z #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal -1/6 binary64)))) (.f64 y y)) (fma.f64 y x z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 y y)))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx ( (+ (* y x) z) (- (* y x) z)) (.f64 y (.f64 y (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) #s(approx (/ 1 (- ( y x) z)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (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))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (-.f64 (.f64 x y) z) (.f64 (fma.f64 x y z) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(approx (+ (* (* y y) (- (* z -2/45) (+ (* -1/2 (- (* z 1/3) (+ (* z 1/24) (* z 1/4)))) (+ (* z -1/48) (* z -1/720))))) (- (* z 1/3) (+ (* z 1/24) (* z 1/4)))) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (fma.f64 (.f64 y y) (.f64 x x) (.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
(+.f64 (.f64 x #s(approx (sin y) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y))) (.f64 z #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 x #s(approx (sin y) (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))) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(fma.f64 #s(approx (sin y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) x (.f64 z #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 x #s(approx (sin y) (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))) (.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))) (fma.f64 x y z))))
#s(approx (+ (* (sin y) x) (* z (cos y))) (/.f64 (.f64 (fma.f64 y #s(approx (+ ( y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) z) (fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (neg.f64 z))) (fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (neg.f64 z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) #s(approx (/ 1 (- ( y x) z)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (.f64 y (.f64 y x)))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx ( (+ (* y x) z) (- (* y x) z)) (.f64 (.f64 y y) (-.f64 (.f64 x x) (/.f64 (+.f64 (/.f64 (.f64 z z) y) #s(literal 0 binary64)) y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) #s(approx (/ 1 (- ( y x) z)) (/.f64 (+.f64 (/.f64 z (.f64 (.f64 y (neg.f64 y)) x)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (.f64 z z) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x)))) (fma.f64 z (.f64 z z) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 z #s(literal 7/24 binary64) (.f64 #s(literal -1/4 binary64) z)) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))) (*.f64 z #s(literal -1/2 binary64))) z)))
(+.f64 (.f64 x #s(approx (sin y) (fma.f64 (fma.f64 y (/.f64 (.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) y) (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))) (.f64 z #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 y x) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))) (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))

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

Calls

4 calls:

22.0ms	z
21.0ms	x
20.0ms	y
20.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes81.0ms (0.8%)

Memory

-4.5MiB live, 193.1MiB allocated

Counts

59 → 3

Calls

Call 1

Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) z))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y)) z)))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (+ (* x (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ (sin y) (pow (cos y) 2)))) (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y)))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x)) z) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))))
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x)) z) (.f64 (.f64 x (.f64 y y)) (.f64 y #s(literal -1/6 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y #s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z))
(+.f64 #s(approx (* x (sin y)) (.f64 x y)) (.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (* (+ (* y x) z) (- (* y x) z)) (/ 1 (- (* y x) z))) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 z (neg.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal -1 binary64))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 y x) #s(literal -1/6 binary64))) x) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx ( (+ (* y x) z) (- (* y x) z)) (.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(approx (+ (* (* y y) (- (* z -2/45) (+ (* -1/2 (- (* z 1/3) (+ (* z 1/24) (* z 1/4)))) (+ (* z -1/48) (* z -1/720))))) (- (* z 1/3) (+ (* z 1/24) (* z 1/4)))) (.f64 z #s(literal 1/24 binary64))) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 (.f64 z #s(literal 1/24 binary64)) y) y (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 (.f64 y (.f64 y x)) #s(literal -1/6 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (+.f64 (.f64 (fma.f64 z #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal -1/6 binary64)))) (.f64 y y)) (fma.f64 y x z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 y y)))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx ( (+ (* y x) z) (- (* y x) z)) (.f64 y (.f64 y (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) #s(approx (/ 1 (- ( y x) z)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (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))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (-.f64 (.f64 x y) z) (.f64 (fma.f64 x y z) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(approx (+ (* (* y y) (- (* z -2/45) (+ (* -1/2 (- (* z 1/3) (+ (* z 1/24) (* z 1/4)))) (+ (* z -1/48) (* z -1/720))))) (- (* z 1/3) (+ (* z 1/24) (* z 1/4)))) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (fma.f64 (.f64 y y) (.f64 x x) (.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
(+.f64 (.f64 x #s(approx (sin y) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y))) (.f64 z #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 x #s(approx (sin y) (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))) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(fma.f64 #s(approx (sin y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) x (.f64 z #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 x #s(approx (sin y) (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))) (.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))) (fma.f64 x y z))))
#s(approx (+ (* (sin y) x) (* z (cos y))) (/.f64 (.f64 (fma.f64 y #s(approx (+ ( y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) z) (fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (neg.f64 z))) (fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (neg.f64 z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) #s(approx (/ 1 (- ( y x) z)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (.f64 y (.f64 y x)))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx ( (+ (* y x) z) (- (* y x) z)) (.f64 (.f64 y y) (-.f64 (.f64 x x) (/.f64 (+.f64 (/.f64 (.f64 z z) y) #s(literal 0 binary64)) y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) #s(approx (/ 1 (- ( y x) z)) (/.f64 (+.f64 (/.f64 z (.f64 (.f64 y (neg.f64 y)) x)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (.f64 z z) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x)))) (fma.f64 z (.f64 z z) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 z #s(literal 7/24 binary64) (.f64 #s(literal -1/4 binary64) z)) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))) (*.f64 z #s(literal -1/2 binary64))) z)))
(+.f64 (.f64 x #s(approx (sin y) (fma.f64 (fma.f64 y (/.f64 (.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) y) (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))) (.f64 z #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 y x) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))) (*.f64 z (cos.f64 y)))

Outputs

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

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

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

Calls

4 calls:

20.0ms	x
19.0ms	z
18.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
18.0ms	y

Results

Accuracy	Segments	Branch
86.4%	3	`x`
81.9%	3	`y`
88.0%	3	`z`
76.0%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes75.0ms (0.7%)

Memory

6.1MiB live, 201.4MiB allocated

Counts

55 → 3

Calls

Call 1

Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) z))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y)) z)))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (+ (* x (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ (sin y) (pow (cos y) 2)))) (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y)))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x)) z) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))))
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x)) z) (.f64 (.f64 x (.f64 y y)) (.f64 y #s(literal -1/6 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y #s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z))
(+.f64 #s(approx (* x (sin y)) (.f64 x y)) (.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (* (+ (* y x) z) (- (* y x) z)) (/ 1 (- (* y x) z))) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 z (neg.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal -1 binary64))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 y x) #s(literal -1/6 binary64))) x) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx ( (+ (* y x) z) (- (* y x) z)) (.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(approx (+ (* (* y y) (- (* z -2/45) (+ (* -1/2 (- (* z 1/3) (+ (* z 1/24) (* z 1/4)))) (+ (* z -1/48) (* z -1/720))))) (- (* z 1/3) (+ (* z 1/24) (* z 1/4)))) (.f64 z #s(literal 1/24 binary64))) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 (.f64 z #s(literal 1/24 binary64)) y) y (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 (.f64 y (.f64 y x)) #s(literal -1/6 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (+.f64 (.f64 (fma.f64 z #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal -1/6 binary64)))) (.f64 y y)) (fma.f64 y x z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 y y)))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx ( (+ (* y x) z) (- (* y x) z)) (.f64 y (.f64 y (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) #s(approx (/ 1 (- ( y x) z)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (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))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (-.f64 (.f64 x y) z) (.f64 (fma.f64 x y z) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(approx (+ (* (* y y) (- (* z -2/45) (+ (* -1/2 (- (* z 1/3) (+ (* z 1/24) (* z 1/4)))) (+ (* z -1/48) (* z -1/720))))) (- (* z 1/3) (+ (* z 1/24) (* z 1/4)))) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (fma.f64 (.f64 y y) (.f64 x x) (.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
(+.f64 (.f64 x #s(approx (sin y) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y))) (.f64 z #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 x #s(approx (sin y) (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))) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(fma.f64 #s(approx (sin y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) x (.f64 z #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 x #s(approx (sin y) (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))) (.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))) (fma.f64 x y z))))
#s(approx (+ (* (sin y) x) (* z (cos y))) (/.f64 (.f64 (fma.f64 y #s(approx (+ ( y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) z) (fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (neg.f64 z))) (fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (neg.f64 z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) #s(approx (/ 1 (- ( y x) z)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (.f64 y (.f64 y x)))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx ( (+ (* y x) z) (- (* y x) z)) (.f64 (.f64 y y) (-.f64 (.f64 x x) (/.f64 (+.f64 (/.f64 (.f64 z z) y) #s(literal 0 binary64)) y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) #s(approx (/ 1 (- ( y x) z)) (/.f64 (+.f64 (/.f64 z (.f64 (.f64 y (neg.f64 y)) x)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (.f64 z z) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x)))) (fma.f64 z (.f64 z z) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 z #s(literal 7/24 binary64) (.f64 #s(literal -1/4 binary64) z)) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))) (*.f64 z #s(literal -1/2 binary64))) z)))
(+.f64 (.f64 x #s(approx (sin y) (fma.f64 (fma.f64 y (/.f64 (.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) y) (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))) (.f64 z #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 z (cos.f64 y)))

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

Calls

4 calls:

20.0ms	y
17.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
17.0ms	z
17.0ms	x

Results

Accuracy	Segments	Branch
65.5%	3	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
80.0%	4	`y`
76.3%	3	`x`
78.9%	3	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes59.0ms (0.6%)

Memory

13.6MiB live, 140.3MiB allocated

Counts

53 → 3

Calls

Call 1

Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) z))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y)) z)))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (+ (* x (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ (sin y) (pow (cos y) 2)))) (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y)))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x)) z) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))))
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x)) z) (.f64 (.f64 x (.f64 y y)) (.f64 y #s(literal -1/6 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y #s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z))
(+.f64 #s(approx (* x (sin y)) (.f64 x y)) (.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (* (+ (* y x) z) (- (* y x) z)) (/ 1 (- (* y x) z))) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 z (neg.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal -1 binary64))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 y x) #s(literal -1/6 binary64))) x) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx ( (+ (* y x) z) (- (* y x) z)) (.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(approx (+ (* (* y y) (- (* z -2/45) (+ (* -1/2 (- (* z 1/3) (+ (* z 1/24) (* z 1/4)))) (+ (* z -1/48) (* z -1/720))))) (- (* z 1/3) (+ (* z 1/24) (* z 1/4)))) (.f64 z #s(literal 1/24 binary64))) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 (.f64 z #s(literal 1/24 binary64)) y) y (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 (.f64 y (.f64 y x)) #s(literal -1/6 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (+.f64 (.f64 (fma.f64 z #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal -1/6 binary64)))) (.f64 y y)) (fma.f64 y x z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 y y)))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx ( (+ (* y x) z) (- (* y x) z)) (.f64 y (.f64 y (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) #s(approx (/ 1 (- ( y x) z)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (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))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (-.f64 (.f64 x y) z) (.f64 (fma.f64 x y z) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(approx (+ (* (* y y) (- (* z -2/45) (+ (* -1/2 (- (* z 1/3) (+ (* z 1/24) (* z 1/4)))) (+ (* z -1/48) (* z -1/720))))) (- (* z 1/3) (+ (* z 1/24) (* z 1/4)))) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (fma.f64 (.f64 y y) (.f64 x x) (.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
(+.f64 (.f64 x #s(approx (sin y) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y))) (.f64 z #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 x #s(approx (sin y) (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))) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(fma.f64 #s(approx (sin y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) x (.f64 z #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 x #s(approx (sin y) (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))) (.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))) (fma.f64 x y z))))
#s(approx (+ (* (sin y) x) (* z (cos y))) (/.f64 (.f64 (fma.f64 y #s(approx (+ ( y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) z) (fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (neg.f64 z))) (fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (neg.f64 z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) #s(approx (/ 1 (- ( y x) z)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (.f64 y (.f64 y x)))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx ( (+ (* y x) z) (- (* y x) z)) (.f64 (.f64 y y) (-.f64 (.f64 x x) (/.f64 (+.f64 (/.f64 (.f64 z z) y) #s(literal 0 binary64)) y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) #s(approx (/ 1 (- ( y x) z)) (/.f64 (+.f64 (/.f64 z (.f64 (.f64 y (neg.f64 y)) x)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (.f64 z z) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x)))) (fma.f64 z (.f64 z z) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 z #s(literal 7/24 binary64) (.f64 #s(literal -1/4 binary64) z)) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))) (*.f64 z #s(literal -1/2 binary64))) z)))
(+.f64 (.f64 x #s(approx (sin y) (fma.f64 (fma.f64 y (/.f64 (.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) y) (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))) (.f64 z #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))

Outputs

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

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

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

Calls

3 calls:

21.0ms	y
18.0ms	z
16.0ms	x

Results

Accuracy	Segments	Branch
61.6%	3	`x`
73.4%	3	`y`
58.7%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes66.0ms (0.7%)

Memory

9.7MiB live, 168.5MiB allocated

Counts

52 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) z))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y)) z)))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (+ (* x (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ (sin y) (pow (cos y) 2)))) (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y)))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x)) z) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))))
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x)) z) (.f64 (.f64 x (.f64 y y)) (.f64 y #s(literal -1/6 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y #s(approx (+ (* x (* y -1/6)) (* z -1/2)) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z))
(+.f64 #s(approx (* x (sin y)) (.f64 x y)) (.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (* (+ (* y x) z) (- (* y x) z)) (/ 1 (- (* y x) z))) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 z (neg.f64 (fma.f64 (neg.f64 y) (/.f64 x z) #s(literal -1 binary64))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 y x) #s(literal -1/6 binary64))) x) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx ( (+ (* y x) z) (- (* y x) z)) (.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(approx (+ (* (* y y) (- (* z -2/45) (+ (* -1/2 (- (* z 1/3) (+ (* z 1/24) (* z 1/4)))) (+ (* z -1/48) (* z -1/720))))) (- (* z 1/3) (+ (* z 1/24) (* z 1/4)))) (.f64 z #s(literal 1/24 binary64))) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 (.f64 z #s(literal 1/24 binary64)) y) y (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 (.f64 y (.f64 y x)) #s(literal -1/6 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)) z))
#s(approx (+ (* (sin y) x) (* z (cos y))) (+.f64 (.f64 (fma.f64 z #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal -1/6 binary64)))) (.f64 y y)) (fma.f64 y x z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 y y)))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx ( (+ (* y x) z) (- (* y x) z)) (.f64 y (.f64 y (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) #s(approx (/ 1 (- ( y x) z)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (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))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (-.f64 (.f64 x y) z) (.f64 (fma.f64 x y z) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(approx (+ (* (* y y) (- (* z -2/45) (+ (* -1/2 (- (* z 1/3) (+ (* z 1/24) (* z 1/4)))) (+ (* z -1/48) (* z -1/720))))) (- (* z 1/3) (+ (* z 1/24) (* z 1/4)))) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (fma.f64 (.f64 y y) (.f64 x x) (.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
(+.f64 (.f64 x #s(approx (sin y) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y))) (.f64 z #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 x #s(approx (sin y) (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))) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(fma.f64 #s(approx (sin y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) x (.f64 z #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 x #s(approx (sin y) (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))) (.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))) (fma.f64 x y z))))
#s(approx (+ (* (sin y) x) (* z (cos y))) (/.f64 (.f64 (fma.f64 y #s(approx (+ ( y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) z) (fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (neg.f64 z))) (fma.f64 y #s(approx (+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (neg.f64 z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) #s(approx (/ 1 (- ( y x) z)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (.f64 y (.f64 y x)))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx ( (+ (* y x) z) (- (* y x) z)) (.f64 (.f64 y y) (-.f64 (.f64 x x) (/.f64 (+.f64 (/.f64 (.f64 z z) y) #s(literal 0 binary64)) y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) #s(approx (/ 1 (- ( y x) z)) (/.f64 (+.f64 (/.f64 z (.f64 (.f64 y (neg.f64 y)) x)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (.f64 z z) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x)))) (fma.f64 z (.f64 z z) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 z #s(literal 7/24 binary64) (.f64 #s(literal -1/4 binary64) z)) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))) (*.f64 z #s(literal -1/2 binary64))) z)))
(+.f64 (.f64 x #s(approx (sin y) (fma.f64 (fma.f64 y (/.f64 (.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) y) (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))) (.f64 z #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (* (+ (* 1/2 (cos (* y -2))) 1/2) (/ z (cos y))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64)))) (fma.f64 z #s(literal -1/48 binary64) (.f64 z #s(literal -1/720 binary64))))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 z #s(literal 1/4 binary64))))) (.f64 z #s(literal -1/2 binary64))) z)))

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

Calls

4 calls:

16.0ms	x
16.0ms	z
16.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
16.0ms	y

Results

Accuracy	Segments	Branch
52.2%	1	`z`
52.2%	1	`x`
52.2%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
52.2%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory

-18.8MiB live, 20.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
18.7%	1	`y`
18.7%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
18.7%	1	`x`
18.7%	1	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch41.0ms (0.4%)

Memory

16.1MiB live, 94.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	6.31963205659348e-8	0.0003558158343170233
21.0ms	-2.13575010471658e+37	-6.923975092906833e+24

Samples

25.0ms

288×

valid

Compiler

Compiled 393 to 266 computations (32.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-sin: 8.0ms (43% of total)

ival-cos: 5.0ms (26.9% of total)

ival-mult: 4.0ms (21.5% of total)

ival-add: 1.0ms (5.4% of total)

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

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

bsearch40.0ms (0.4%)

Memory

0.8MiB live, 78.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4.874278260595254e-153	2.3616054086065822e-149
22.0ms	-5.221439051829807e-5	-3.8426730910614786e-26

Samples

26.0ms

304×

valid

Compiler

Compiled 357 to 242 computations (32.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-sin: 8.0ms (42.7% of total)

ival-cos: 6.0ms (32.1% of total)

ival-mult: 4.0ms (21.4% of total)

ival-add: 1.0ms (5.3% of total)

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

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

bsearch37.0ms (0.4%)

Memory

-5.2MiB live, 75.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.018479384690014478	1.7880036821766248
22.0ms	-192705228600038200.0	-227930025893.63605

Samples

24.0ms

256×

valid

Compiler

Compiled 639 to 382 computations (40.2% saved)

Precisions

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

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

ival-cos: 5.0ms (28.7% of total)

ival-mult: 5.0ms (28.7% of total)

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

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

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

simplify9.0ms (0.1%)

Memory

-19.9MiB live, 19.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	211
1	68	211

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(if (<=.f64 z #s(literal -10199999999999999458702414123118886912 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 5902958103587057/18446744073709551616 binary64)) (fma.f64 (sin.f64 y) x (.f64 z #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -5075554161070059/1237940039285380274899124224 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 1324480221113517/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 x (sin.f64 y))) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(if (<=.f64 y #s(literal -230000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 3242591731706757/9007199254740992 binary64)) (+.f64 (.f64 x #s(approx (sin y) (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))) (.f64 z #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))

Outputs
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(if (<=.f64 z #s(literal -10199999999999999458702414123118886912 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 5902958103587057/18446744073709551616 binary64)) (fma.f64 (sin.f64 y) x (.f64 z #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -5075554161070059/1237940039285380274899124224 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 1324480221113517/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 x (sin.f64 y))) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -5075554161070059/1237940039285380274899124224 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 1324480221113517/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 (sin.f64 y) x)) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(if (<=.f64 y #s(literal -230000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 3242591731706757/9007199254740992 binary64)) (+.f64 (.f64 x #s(approx (sin y) (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))) (.f64 z #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))))
(if (<=.f64 y #s(literal -230000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 3242591731706757/9007199254740992 binary64)) (+.f64 (.f64 z #s(approx (cos y) #s(literal 1 binary64))) (.f64 x #s(approx (sin y) (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)))) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))

soundness1.0s (10.3%)

Memory

26.5MiB live, 700.8MiB allocated

Rules

12 858×	`lower-fma.f64`
12 858×	`lower-fma.f32`
11 480×	`lower-fma.f64`
11 480×	`lower-fma.f32`
8 356×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
0	13	21
1	29	21
2	185	21
3	1836	21
0	8391	20
0	463	5395
1	1583	5308
2	5614	5279
0	8312	4808
0	612	6473
1	2052	6299
2	7321	6283
0	8081	5777
0	109	682
1	344	678
2	991	668
3	2652	662
4	4669	662
5	6964	662
0	8196	606

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 284 to 138 computations (51.4% saved)

preprocess250.0ms (2.5%)

Memory: -24.0MiB live, 110.9MiB allocated
Compiler: Compiled 268 to 102 computations (61.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (13.4%)

explain106.0ms (1.1%)

preprocess50.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize37.0ms (0.4%)

series7.0ms (0.1%)

simplify274.0ms (2.7%)

rewrite460.0ms (4.6%)

eval61.0ms (0.6%)

prune79.0ms (0.8%)

simplify277.0ms (2.7%)

localize290.0ms (2.9%)

series34.0ms (0.3%)

simplify292.0ms (2.9%)

rewrite405.0ms (4%)

eval212.0ms (2.1%)

prune143.0ms (1.4%)

simplify262.0ms (2.6%)

localize319.0ms (3.2%)

series44.0ms (0.4%)

simplify283.0ms (2.8%)

rewrite329.0ms (3.3%)

eval182.0ms (1.8%)

prune213.0ms (2.1%)

simplify345.0ms (3.4%)

localize503.0ms (5%)

series89.0ms (0.9%)

simplify722.0ms (7.1%)

rewrite304.0ms (3%)

eval280.0ms (2.8%)

prune212.0ms (2.1%)

regimes135.0ms (1.3%)

regimes87.0ms (0.9%)

regimes81.0ms (0.8%)

regimes75.0ms (0.7%)

regimes59.0ms (0.6%)

regimes66.0ms (0.7%)

regimes7.0ms (0.1%)

bsearch41.0ms (0.4%)

bsearch40.0ms (0.4%)

bsearch37.0ms (0.4%)

simplify9.0ms (0.1%)

soundness1.0s (10.3%)

preprocess250.0ms (2.5%)

end0.0ms (0%)

Profiling