Metrics for Diagrams.ThreeD.Transform:aboutY from diagrams-lib-1.3.0.3

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.6s (17.7%)

Memory

22.2MiB live, 1 767.7MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 838.0ms

ival-sin: 280.0ms (33.4% of total)

ival-cos: 269.0ms (32.1% of total)

ival-mult: 242.0ms (28.9% of total)

ival-add: 37.0ms (4.4% of total)

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

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

Bogosity

explain150.0ms (1.7%)

Memory

-0.6MiB live, 232.8MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

70.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

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

ival-sin: 29.0ms (54.6% of total)

ival-cos: 10.0ms (18.8% of total)

ival-mult: 7.0ms (13.2% of total)

ival-add: 6.0ms (11.3% of total)

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

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

preprocess43.0ms (0.5%)

Memory

7.1MiB live, 45.1MiB allocated

Algorithm

1×	egg-herbie

Rules

162×	`associate-r`
160×	`unsub-neg`
146×	`associate-l`
132×	`distribute-lft-neg-in`
106×	`distribute-rgt-in`

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	688	81
6	861	81
7	947	81
8	1025	81
9	1091	81
10	1105	81
11	1110	81
12	1112	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 (cos.f64 y)) (.f64 z (sin.f64 y)))

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Memory

10.0MiB live, 10.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

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

localize47.0ms (0.5%)

Memory

-43.7MiB live, 54.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 y)
accuracy	0.0078125	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
accuracy	0.109375	(*.f64 x (cos.f64 y))
accuracy	0.1171875	(*.f64 z (sin.f64 y))

Samples

39.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-add: 13.0ms (46.3% of total)

ival-cos: 6.0ms (21.4% of total)

ival-sin: 5.0ms (17.8% of total)

ival-mult: 3.0ms (10.7% of total)

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

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

series8.0ms (0.1%)

Memory

22.3MiB live, 22.3MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())
#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())

Outputs
#s(alt (* z (sin y)) (taylor 0 x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y z)) (taylor 0 y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ z (* -1/2 (* x y))))) (taylor 0 y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) (taylor 0 y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sin y) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sin y) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sin y) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) (taylor -inf z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) (taylor -inf z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) (taylor -inf z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 (* x (pow y 2)))) (taylor 0 y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) (taylor 0 y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow y 2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* -1/6 (* (pow y 2) z)))) (taylor 0 y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) (taylor 0 y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) (taylor 0 y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())

Calls

24 calls:

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

simplify178.0ms (2%)

Memory

-19.9MiB live, 168.3MiB allocated

Algorithm

1×	egg-herbie

Rules

14 080×	`lower-fma.f64`
14 080×	`lower-fma.f32`
3 812×	`lower-*.f64`
3 812×	`lower-*.f32`
2 968×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	620
1	295	616
2	892	610
3	2078	604
4	3746	604
5	6389	604
0	8805	554

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite221.0ms (2.4%)

Memory

8.5MiB live, 281.1MiB allocated

Rules

11 480×	`lower-fma.f64`
11 480×	`lower-fma.f32`
4 168×	`lower-*.f32`
4 164×	`lower-*.f64`
4 068×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
0	13	19
1	29	19
2	185	19
3	1836	19
0	8386	18

Stop Event

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

Counts

4 → 176

Calls

Call 1

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

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

eval32.0ms (0.3%)

Memory: 28.2MiB live, 64.4MiB allocated
Compiler: Compiled 10 060 to 547 computations (94.6% saved)

prune78.0ms (0.9%)

Memory

2.7MiB live, 167.2MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	256	14	270
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	257	14	271

Accuracy

99.9%

Counts

271 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.7%	(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))))
▶	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
	67.7%	(fma.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))))
▶	44.7%	(/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (.f64 (neg.f64 (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
	42.8%	(/.f64 (fma.f64 (neg.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 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x))) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
	74.6%	(+.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
▶	53.8%	(+.f64 #s(approx (* x (cos y)) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) x)) (*.f64 z (sin.f64 y)))
	44.7%	(.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (.f64 (neg.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 (sin.f64 y) z) (.f64 (cos.f64 y) x))))
	51.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y z) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
	51.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
▶	52.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y z x))
	39.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
▶	62.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))

Compiler

Compiled 664 to 348 computations (47.6% saved)

simplify174.0ms (1.9%)

Memory

0.2MiB live, 238.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff	128	(.f64 (neg.f64 (.f64 x x)) (+.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	6464	(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (.f64 (neg.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 (.f64 y y) x)
cost-diff	0	(fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) x)
cost-diff	0	#s(approx (* x (cos y)) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) x))
cost-diff	128	(+.f64 #s(approx (* x (cos y)) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) x)) (*.f64 z (sin.f64 y)))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 (cos.f64 y) x)
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
cost-diff	0	(fma.f64 y z x)
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y z x))
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 (sin.f64 y) z)
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))

Rules

16 320×	`lower-fma.f32`
16 308×	`lower-fma.f64`
4 248×	`lower-*.f32`
4 230×	`lower-*.f64`
2 386×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	312
0	70	310
1	135	310
2	318	307
3	912	307
4	2512	305
5	4641	305
0	8185	296

Stop Event

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

Calls

Call 1

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

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

localize230.0ms (2.5%)

Memory

4.1MiB live, 236.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	1.304673738027801	(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (.f64 (neg.f64 (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
accuracy	4.126191826397165	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z)
accuracy	15.564141523920235	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy	27.681300575514005	(/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (.f64 (neg.f64 (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
accuracy	0.1171875	(*.f64 z (sin.f64 y))
accuracy	0.2363512296985698	(fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) x)
accuracy	9.861048253010118	(.f64 (.f64 y y) x)
accuracy	31.13488461869307	#s(approx (* x (cos y)) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) x))
accuracy	0	(cos.f64 y)
accuracy	0.109375	(*.f64 (cos.f64 y) x)
accuracy	23.873885792994077	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
accuracy	0	(fma.f64 y z x)
accuracy	30.44593575327068	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y z x))
accuracy	0	(sin.f64 y)
accuracy	0	(cos.f64 y)
accuracy	0.0625	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
accuracy	0.1171875	(*.f64 (sin.f64 y) z)

Samples

88.0ms	130×	0	valid
56.0ms	86×	1	valid
36.0ms	40×	2	valid

Compiler

Compiled 276 to 40 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 149.0ms

ival-add: 56.0ms (37.6% of total)

ival-mult: 32.0ms (21.5% of total)

ival-cos: 27.0ms (18.1% of total)

adjust: 12.0ms (8.1% of total)

const: 8.0ms (5.4% of total)

ival-sin: 6.0ms (4% of total)

ival-sub: 4.0ms (2.7% of total)

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

ival-neg: 2.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series54.0ms (0.6%)

Memory

-24.5MiB live, 64.0MiB allocated

Counts

19 → 492

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)) (patch (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y z)) (taylor 0 y) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)) (patch (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ z (* -1/2 (* x y))))) (taylor 0 y) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)) (patch (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) (taylor 0 y) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)) (patch (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)) (patch (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)) (patch (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)) (patch (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)) (patch (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)) (patch (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)) (patch (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)) (patch (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)) (patch (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)) (patch (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
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#s(alt (* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* 2/45 (* (pow y 2) z)))))) (taylor 0 y) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* (pow y 2) (+ (* -1/315 (* (pow y 2) z)) (* 2/45 z))))))) (taylor 0 y) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor inf y) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor inf y) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor inf y) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor inf y) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (taylor -inf y) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (taylor -inf y) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (taylor -inf y) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (taylor -inf y) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor 0 z) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor 0 z) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor 0 z) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor 0 z) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor inf z) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor inf z) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor inf z) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor inf z) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor -inf z) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor -inf z) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor -inf z) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor -inf z) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) #<representation binary64>) () ())) ())

Calls

123 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(+ (* (* (* y y) x) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2)) x)
3.0ms	y	@	-inf	(+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y))))))
2.0ms	y	@	inf	(+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y))))))
1.0ms	x	@	inf	(+ (* y z) x)
1.0ms	z	@	0	(+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y))))))

simplify207.0ms (2.3%)

Memory

30.3MiB live, 217.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 822×	`lower-fma.f64`
9 822×	`lower-fma.f32`
7 626×	`lower-*.f64`
7 626×	`lower-*.f32`
2 334×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	489	6358
1	1705	6191
2	6203	6156
0	8476	5617

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 479

Calls

Call 1

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

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

rewrite238.0ms (2.6%)

Memory

19.3MiB live, 247.8MiB allocated

Rules

6 520×	`lower-fma.f32`
6 508×	`lower-fma.f64`
4 782×	`lower-*.f32`
4 764×	`lower-*.f64`
4 060×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	229
0	70	200
1	287	170
2	2073	170
0	8429	169

Stop Event

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

Counts

19 → 556

Calls

Call 1

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

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

eval291.0ms (3.2%)

Memory: -1.2MiB live, 313.9MiB allocated
Compiler: Compiled 42 701 to 2 135 computations (95% saved)

prune172.0ms (1.9%)

Memory

4.2MiB live, 391.0MiB allocated

Pruning

31 alts after pruning (28 fresh and 3 done)

	Pruned	Kept	Total
New	1 108	28	1 136
Fresh	9	0	9
Picked	2	3	5
Done	0	0	0
Total	1 119	31	1 150

Accuracy

100.0%

Counts

1 150 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
	74.6%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (sin.f64 y) z))
	33.8%	(/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z #s(approx (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y))))) (.f64 (neg.f64 x) x))) (-.f64 (.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
	54.2%	(/.f64 (fma.f64 (.f64 (.f64 z (sin.f64 y)) z) (sin.f64 y) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
	13.3%	(/.f64 #s(approx (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) (-.f64 (.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
	50.9%	(+.f64 #s(approx (* x (cos y)) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) x)) (.f64 z #s(approx (sin y) (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
	51.4%	(+.f64 #s(approx (* x (cos y)) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) x)) #s(approx (* z (sin y)) (*.f64 z y)))
	25.3%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (fma.f64 z z (.f64 x x)) x)) y z) y x))
▶	99.0%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))))
	50.4%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))))
	92.3%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))) z (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))) x))
	62.0%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
	23.7%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))))
	51.4%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
	51.5%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
	92.7%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
▶	88.8%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
	39.2%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (sin.f64 y) z))
✓	52.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y z x))
	29.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 z y) z) y)) (-.f64 x (*.f64 z y))))
	32.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x)) (-.f64 (*.f64 z y) x)))
▶	32.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x))))
✓	62.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
	36.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
▶	36.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
	36.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
	38.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	45.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* y z) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
	40.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* y z) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
▶	18.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* y z) x) (*.f64 z y)))
	36.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))

Compiler

Compiled 1 157 to 624 computations (46.1% saved)

simplify178.0ms (2%)

Memory

-33.2MiB live, 168.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (cos.f64 y) z)
cost-diff	0	(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))
cost-diff	0	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
cost-diff	704	(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
cost-diff	0	(fma.f64 z y x)
cost-diff	0	(.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x))
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x))))
cost-diff	2368	(.f64 (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
cost-diff	0	(*.f64 z y)
cost-diff	0	#s(approx (+ (* y z) x) (*.f64 z y))
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* y z) x) (*.f64 z y)))
cost-diff	0	(.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
cost-diff	0	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))))
cost-diff	128	(*.f64 #s(literal 2 binary64) y)
cost-diff	13760	(fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))

Rules

14 176×	`lower-fma.f32`
14 164×	`lower-fma.f64`
4 448×	`lower-*.f32`
4 430×	`lower-*.f64`
2 150×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	402
0	94	413
1	174	362
2	383	356
3	1166	356
4	3840	349
5	7972	349
0	8016	340

Stop Event

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

Calls

Call 1

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

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

localize280.0ms (3.1%)

Memory

-24.2MiB live, 251.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
accuracy	0.11328125	(/.f64 (cos.f64 y) z)
accuracy	0.13671875	(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))
accuracy	7.138852983488397	(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
accuracy	0.13119125976844204	(.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x))
accuracy	0.29099956580133257	(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z y) x))
accuracy	30.44593575327068	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x))))
accuracy	30.711817233363366	(.f64 (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)))
accuracy	0.0859375	(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
accuracy	0.109375	(.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
accuracy	23.873885792994077	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
accuracy	31.276108968953178	#s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64)))
accuracy	0	(*.f64 z y)
accuracy	30.24876617060482	#s(approx (+ (* y z) x) (*.f64 z y))
accuracy	30.44593575327068	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* y z) x) (*.f64 z y)))
accuracy	0.16796875	(.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
accuracy	0.20541000976844204	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
accuracy	0.34272516425291405	(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	0.38227364561499927	(.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))

Samples

103.0ms	189×	0	valid
60.0ms	67×	1	valid

Compiler

Compiled 303 to 59 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-mult: 38.0ms (32.7% of total)

ival-cos: 27.0ms (23.2% of total)

ival-add: 15.0ms (12.9% of total)

ival-div: 10.0ms (8.6% of total)

adjust: 7.0ms (6% of total)

ival-sin: 5.0ms (4.3% of total)

ival-sub: 4.0ms (3.4% of total)

const: 4.0ms (3.4% of total)

ival-pow2: 3.0ms (2.6% of total)

ival-neg: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

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

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

series65.0ms (0.7%)

Memory

29.9MiB live, 103.8MiB allocated

Counts

24 → 648

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) (patch (fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y z)) (taylor 0 y) (#s(alt (fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) (patch (fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ z (* y (- (* -1 x) (* -1/2 x)))))) (taylor 0 y) (#s(alt (fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) (patch (fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x)))))) (taylor 0 y) (#s(alt (fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) (patch (fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (taylor inf y) (#s(alt (fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) (patch (fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (taylor inf y) (#s(alt (fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) (patch (fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (taylor inf y) (#s(alt (fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) (patch (fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (taylor inf y) (#s(alt (fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) (patch (fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (taylor -inf y) (#s(alt (fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) (patch (fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (taylor -inf y) (#s(alt (fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) (patch (fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (taylor -inf y) (#s(alt (fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) (patch (fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (taylor -inf y) (#s(alt (fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) (patch (fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) #<representation binary64>) () ())) ())
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#s(alt (/ (- (* -1 (/ (* y z) x)) 1) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (+ 1 (/ (* y z) x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) (+ 1 (+ (/ (* y z) x) (/ (* (pow y 2) (pow z 2)) (pow x 2))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (/ (* y z) x)) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* (pow y 2) (pow z 2)) x)) (* y z)) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 3)) x) (* -1 (* (pow y 2) (pow z 2)))) x)) (* y z)) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())

Calls

162 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	(+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y))))
3.0ms	y	@	-inf	(* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))
3.0ms	y	@	inf	(+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y))))
2.0ms	y	@	-inf	(+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y))))
1.0ms	z	@	0	(+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y))))

simplify281.0ms (3.1%)

Memory

-17.1MiB live, 298.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 144×	`lower-fma.f64`
8 144×	`lower-fma.f32`
6 890×	`lower-*.f64`
6 890×	`lower-*.f32`
3 138×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	729	8241
1	2439	7881
0	8275	7338

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 626

Calls

Call 1

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

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

rewrite334.0ms (3.7%)

Memory

16.5MiB live, 367.0MiB allocated

Rules

6 206×	`lower-*.f32`
6 188×	`lower-*.f64`
5 242×	`lower-fma.f32`
5 230×	`lower-fma.f64`
2 958×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	349
0	94	357
1	386	262
2	2865	231
0	8645	226

Stop Event

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

Counts

24 → 953

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 (.f64 z (.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 (sin.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 (cos.f64 y)) x))))
(.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (cos.f64 y)) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (.f64 z (.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 z (/.f64 (tan.f64 y) (cos.f64 y)) (/.f64 x (cos.f64 y))))
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(pow.f64 (/.f64 (fma.f64 z (.f64 (sin.f64 y) #s(literal 1 binary64)) (.f64 (neg.f64 (cos.f64 y)) x)) (-.f64 (pow.f64 (.f64 z (.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))
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eval610.0ms (6.7%)

Memory: -101.8MiB live, 634.6MiB allocated
Compiler: Compiled 71 475 to 3 659 computations (94.9% saved)

prune393.0ms (4.3%)

Memory

17.0MiB live, 744.1MiB allocated

Pruning

38 alts after pruning (33 fresh and 5 done)

	Pruned	Kept	Total
New	1 695	20	1 715
Fresh	10	13	23
Picked	3	2	5
Done	0	3	3
Total	1 708	38	1 746

Accuracy

100.0%

Counts

1 746 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
	74.6%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (sin.f64 y) z))
	33.8%	(/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z #s(approx (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y))))) (.f64 (neg.f64 x) x))) (-.f64 (.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
	13.3%	(/.f64 #s(approx (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) (-.f64 (.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
	51.4%	(+.f64 #s(approx (* x (cos y)) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) x)) #s(approx (* z (sin y)) (*.f64 z y)))
	25.3%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (fma.f64 z z (.f64 x x)) x)) y z) y x))
	62.0%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
	23.7%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))))
▶	51.4%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)))
	51.5%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)))
	62.3%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (.f64 (fma.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) x)))
	39.0%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (.f64 (.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z)))
▶	92.7%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
✓	88.8%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
	89.4%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
▶	88.8%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
	67.9%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) x (sin.f64 y)) z))
	39.2%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (sin.f64 y) z))
▶	44.3%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (.f64 #s(approx (+ ( (/ (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
	31.7%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (.f64 #s(approx (+ ( (/ (cos y) z) x) (sin y)) (/.f64 x z)) z))
✓	52.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y z x))
	51.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (-.f64 (.f64 z y) x) (.f64 (fma.f64 z y x) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)))))
	14.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x)) #s(approx (/ 1 (- ( z y) x)) (/.f64 #s(literal 1 binary64) (*.f64 z y)))))
	32.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)) (.f64 (-.f64 (.f64 z y) x) (fma.f64 z y x))) (-.f64 (.f64 z y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x))))
✓	62.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
	13.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* z y) x) (- (* z y) x)) (.f64 (fma.f64 z z (/.f64 (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) (neg.f64 y))) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z y) x))))
	11.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* z y) x) (- (* z y) x)) (.f64 (.f64 (.f64 y y) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x))))
	20.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* z y) x) (- (* z y) x)) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x))))
	36.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
	35.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 y y) (.f64 y y)) #s(literal -1/4 binary64)) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 y y) #s(literal 1 binary64))) x))
	36.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))) x))
	36.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
	35.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 #s(approx (+ ( 1/24 (* y y)) -1/2) (.f64 #s(literal 1/24 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x))
▶	38.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) #s(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) x))
	40.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* y z) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
	49.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* y z) x) (*.f64 (neg.f64 (fma.f64 z (/.f64 y x) #s(literal 1 binary64))) (neg.f64 x))))
✓	18.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* y z) x) (*.f64 z y)))
	36.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))

Compiler

Compiled 1 301 to 712 computations (45.3% saved)

simplify167.0ms (1.8%)

Memory

-34.7MiB live, 184.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))
cost-diff	0	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
cost-diff	704	(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)
cost-diff	0	#s(approx (+ (* (/ (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z)))
cost-diff	0	(.f64 #s(approx (+ ( (/ (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))) z)
cost-diff	0	#s(approx (+ (* (cos y) x) (* (sin y) z)) (.f64 #s(approx (+ ( (/ (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))) z))
cost-diff	64	(fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z)
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)
cost-diff	0	#s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
cost-diff	0	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)))
cost-diff	0	#s(approx (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos y) #s(approx (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (cos y) #s(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) x)
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) #s(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) x))
cost-diff	0	(/.f64 (sin.f64 y) x)
cost-diff	0	(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
cost-diff	0	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
cost-diff	704	(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)

Rules

15 370×	`lower-fma.f32`
15 354×	`lower-fma.f64`
5 314×	`lower-*.f32`
5 300×	`lower-*.f64`
1 786×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	496
0	106	493
1	202	474
2	424	474
3	1205	474
4	3119	464
5	5408	464
0	8169	442

Stop Event

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

Calls

Call 1

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

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

localize286.0ms (3.2%)

Memory

11.9MiB live, 477.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 y)
accuracy	0	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
accuracy	0.09765625	(fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))
accuracy	7.138852983488397	(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)
accuracy	2.8613456931845818	(fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64))
accuracy	4.007795986641646	(fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))
accuracy	7.138852983488397	(.f64 #s(approx (+ ( (/ (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z))) z)
accuracy	29.62925357975434	#s(approx (+ (* (/ (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z)))
accuracy	0.03515625	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)
accuracy	0.05078125	(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z)
accuracy	0.16796875	(fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x))
accuracy	31.135646728645046	#s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
accuracy	0.109375	(.f64 #s(approx (cos y) #s(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) x)
accuracy	23.873885792994077	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) #s(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) x))
accuracy	31.10040749066619	#s(approx (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))
accuracy	31.276108968953178	#s(approx (cos y) #s(approx (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64)))
accuracy	0	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
accuracy	0.08984375	(/.f64 (sin.f64 y) x)
accuracy	0.10546875	(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
accuracy	4.614790759701578	(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)

Samples

103.0ms	189×	0	valid
82.0ms	67×	1	valid

Compiler

Compiled 311 to 75 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 156.0ms

ival-mult: 56.0ms (35.8% of total)

ival-cos: 29.0ms (18.5% of total)

ival-add: 24.0ms (15.3% of total)

ival-div: 14.0ms (9% of total)

adjust: 12.0ms (7.7% of total)

const: 9.0ms (5.8% of total)

ival-sin: 5.0ms (3.2% of total)

ival-sub: 3.0ms (1.9% of total)

ival-pow2: 3.0ms (1.9% of total)

ival-neg: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

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

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

series154.0ms (1.7%)

Memory

8.7MiB live, 124.0MiB allocated

Counts

22 → 696

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 y) (#s(alt (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y z)) (taylor 0 y) (#s(alt (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ z (* -1/2 (* x y))))) (taylor 0 y) (#s(alt (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) (taylor 0 y) (#s(alt (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor inf y) (#s(alt (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor inf y) (#s(alt (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor inf y) (#s(alt (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor inf y) (#s(alt (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor -inf y) (#s(alt (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor -inf y) (#s(alt (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor -inf y) (#s(alt (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor -inf y) (#s(alt (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (* y z)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 x) (* -1/6 (* y z))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 x) (* -1/6 (* y z))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 x) (* -1/6 (* y z))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 x) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -1/6 (/ (* y z) x)) 1/2)) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -1/6 (/ (* y z) x)) 1/2)) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -1/6 (/ (* y z) x)) 1/2)) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* x y) z)) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/2 (/ y z)) (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/2 (/ y z)) (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/2 (/ y z)) (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* x y) z)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) x)) (* 1/2 (/ y z))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) x)) (* 1/2 (/ y z))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) x)) (* 1/2 (/ y z))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* x y) z)) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2))))) z) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2))))) z) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2))))) z) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor inf z) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))) (taylor inf z) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))) (taylor inf z) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))) (taylor inf z) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor -inf z) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))) (taylor -inf z) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))) (taylor -inf z) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))) (taylor -inf z) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (/ (* x y) z))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y)))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y)))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow y 2)) (taylor inf y) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* -1/2 (/ x (* y z))) 1/6)) (taylor inf y) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (+ (* -1/2 (/ x (* y z))) (/ 1 (pow y 2))) 1/6)) (taylor inf y) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (+ (* -1/2 (/ x (* y z))) (/ 1 (pow y 2))) 1/6)) (taylor inf y) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow y 2)) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* -1/2 (/ x (* y z))) 1/6)) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* -1 (/ (- (* 1/2 (/ x z)) (/ 1 y)) y)) 1/6)) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* -1 (/ (- (* 1/2 (/ x z)) (/ 1 y)) y)) 1/6)) (taylor -inf y) (#s(alt (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

174 calls:

Time	Variable		Point	Expression
36.0ms	y	@	-inf	(+ (* (+ (* (/ x z) -1/2) (* -1/6 y)) y) 1)
2.0ms	x	@	-inf	(+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x)
1.0ms	x	@	0	(+ (* (+ (* (+ (* (/ x z) -1/2) (* -1/6 y)) y) 1) y) (/ x z))
1.0ms	z	@	0	(+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x)
1.0ms	x	@	inf	(+ (* (+ (* (+ (* (/ x z) -1/2) (* -1/6 y)) y) 1) y) (/ x z))

simplify268.0ms (3%)

Memory

15.5MiB live, 230.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 602×	`lower-fma.f64`
8 602×	`lower-fma.f32`
6 958×	`lower-*.f64`
6 958×	`lower-*.f32`
3 698×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	622	9397
1	2141	9099
2	7649	9099
0	8219	8296

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 684

Calls

Call 1

Inputs
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
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(* x (+ (* -1/2 (/ y z)) (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))))
(* x (+ (* -1/2 (/ y z)) (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))))
(* -1/2 (/ (* x y) z))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) x)) (* 1/2 (/ y z)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) x)) (* 1/2 (/ y z)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) x)) (* 1/2 (/ y z)))))
(* -1/2 (/ (* x y) z))
(/ (+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2))))) z)
(/ (+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2))))) z)
(/ (+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2))))) z)
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2))))
(+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2))))
(+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2))))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2))))
(+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2))))
(+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2))))
1
(+ 1 (* -1/2 (/ (* x y) z)))
(+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))
(+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))
(* -1/6 (pow y 2))
(* (pow y 2) (- (* -1/2 (/ x (* y z))) 1/6))
(* (pow y 2) (- (+ (* -1/2 (/ x (* y z))) (/ 1 (pow y 2))) 1/6))
(* (pow y 2) (- (+ (* -1/2 (/ x (* y z))) (/ 1 (pow y 2))) 1/6))
(* -1/6 (pow y 2))
(* (pow y 2) (- (* -1/2 (/ x (* y z))) 1/6))
(* (pow y 2) (- (* -1 (/ (- (* 1/2 (/ x z)) (/ 1 y)) y)) 1/6))
(* (pow y 2) (- (* -1 (/ (- (* 1/2 (/ x z)) (/ 1 y)) y)) 1/6))

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

rewrite446.0ms (4.9%)

Memory

32.8MiB live, 433.1MiB allocated

Rules

8 308×	`lower-*.f32`
8 294×	`lower-*.f64`
7 274×	`lower-fma.f32`
7 258×	`lower-fma.f64`
3 972×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	448
0	106	445
1	479	392
2	3782	376
0	11476	361

Stop Event

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

Counts

22 → 281

Calls

Call 1

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

Outputs
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x)
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 x x)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (sin.f64 y) z) x) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (.f64 (sin.f64 y) z) x)) (/.f64 (.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 x x))))
(/.f64 (.f64 x (-.f64 (/.f64 (.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 x x)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))))
(/.f64 (.f64 x (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (sin.f64 y) z) x) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (.f64 (sin.f64 y) z) x)) (/.f64 (.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 x x))))
(fma.f64 (.f64 (/.f64 x (cos.f64 y)) (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 (sin.f64 y) z) x) x))
(fma.f64 (.f64 (/.f64 x (cos.f64 y)) (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64))) #s(literal 1/2 binary64) (.f64 x (/.f64 (*.f64 (sin.f64 y) z) x)))
(fma.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (cos.f64 y)) (.f64 (/.f64 (*.f64 (sin.f64 y) z) x) x))
(fma.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (cos.f64 y)) (.f64 x (/.f64 (*.f64 (sin.f64 y) z) x)))
(fma.f64 (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 x (cos.f64 y))) (.f64 (/.f64 (*.f64 (sin.f64 y) z) x) x))
(fma.f64 (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 x (cos.f64 y))) (.f64 x (/.f64 (*.f64 (sin.f64 y) z) x)))
(fma.f64 (/.f64 (.f64 (sin.f64 y) z) x) x (.f64 (cos.f64 y) x))
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(fma.f64 (.f64 #s(literal -1/6 binary64) y) z (.f64 #s(literal -1/2 binary64) x))
(fma.f64 (.f64 z y) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal -1/2 binary64) x (.f64 (.f64 #s(literal -1/6 binary64) y) z))
(fma.f64 z (.f64 #s(literal -1/6 binary64) y) (.f64 #s(literal -1/2 binary64) x))
(fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 #s(literal -1/6 binary64) y) z))
(fma.f64 y (.f64 #s(literal -1/6 binary64) z) (.f64 #s(literal -1/2 binary64) x))
(-.f64 (/.f64 (.f64 (.f64 z z) (.f64 #s(literal 1/36 binary64) (.f64 y y))) (fma.f64 (.f64 #s(literal -1/6 binary64) z) y (.f64 #s(literal 1/2 binary64) x))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 (.f64 #s(literal -1/6 binary64) z) y (.f64 #s(literal 1/2 binary64) x))))
(+.f64 (.f64 (.f64 #s(literal -1/6 binary64) y) z) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 (*.f64 #s(literal -1/6 binary64) y) z))
(.f64 (fma.f64 (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y) (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y) y) (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y))) (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y) y) (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y)))))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal -1 binary64)) (fma.f64 (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y) (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y) y) (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y) y) (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y))) (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y) y) (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y)))
(/.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y) (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y) y) (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y))) (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y) y) (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y)))))
(/.f64 (fma.f64 (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y) (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y) #s(literal -1 binary64)) (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y) y) (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y))) (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y) y) (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y))) (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y) y) (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y))) (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y) y) (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal -1 binary64)) (fma.f64 (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y) (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y) y) (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y) y) (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y))) (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y) #s(literal 1 binary64))))
(fma.f64 (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) (.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y) #s(literal 1 binary64))
(fma.f64 y (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y) y) (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y))) (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal -1 binary64))))
(+.f64 (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y))

eval270.0ms (3%)

Memory: -12.1MiB live, 288.4MiB allocated
Compiler: Compiled 23 770 to 1 430 computations (94% saved)

prune255.0ms (2.8%)

Memory

9.8MiB live, 467.9MiB allocated

Pruning

50 alts after pruning (43 fresh and 7 done)

	Pruned	Kept	Total
New	968	19	987
Fresh	4	24	28
Picked	3	2	5
Done	0	5	5
Total	975	50	1 025

Accuracy

100.0%

Counts

1 025 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
	74.6%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (sin.f64 y) z))
	13.3%	(/.f64 #s(approx (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) (-.f64 (.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
	51.4%	(+.f64 #s(approx (* x (cos y)) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) x)) #s(approx (* z (sin y)) (*.f64 z y)))
	25.3%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (fma.f64 z z (.f64 x x)) x)) y z) y x))
	62.0%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
	23.7%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))))
	51.4%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) y) z (.f64 #s(literal -1/2 binary64) x)) y z) y x)))
	51.7%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (.f64 #s(literal -1/6 binary64) (.f64 z y))) y z) y x)))
	37.8%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (.f64 z y) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) (.f64 (fma.f64 (fma.f64 (.f64 z y) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) x)) y z) (fma.f64 (fma.f64 (.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z))))) y x)))
	51.4%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (fma.f64 (+.f64 (.f64 (fma.f64 (.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)))
	36.4%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x)))
	36.3%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 y x) #s(literal -1/2 binary64))) y x)))
	39.0%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (.f64 (.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z)))
	2.6%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (.f64 (.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) z)) y) (.f64 y y)))))
	17.8%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))))
	2.9%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (.f64 (.f64 (.f64 (.f64 y y) z) #s(literal -1/6 binary64)) y))))
	53.2%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (sin.f64 y) z) x) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (.f64 (sin.f64 y) z) x)) (/.f64 (.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 x x)))))
	78.8%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (pow.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x))
	67.5%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z #s(approx (cos y) #s(literal 1 binary64))) x))
✓	88.8%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
	92.7%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)) z (cos.f64 y)) x))
	89.4%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
✓	88.8%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
	39.2%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (sin.f64 y) z))
	46.0%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x))
	32.2%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x))
	18.6%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (.f64 #s(approx (+ ( (/ (cos y) z) x) (sin y)) (fma.f64 #s(approx (+ (* (+ (* (/ x z) -1/2) (* -1/6 y)) y) 1) (.f64 (.f64 (fma.f64 (/.f64 x (*.f64 z y)) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) y) y)) y (/.f64 x z))) z))
	29.9%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (.f64 #s(approx (+ ( (/ (cos y) z) x) (sin y)) (fma.f64 #s(approx (+ (* (+ (* (/ x z) -1/2) (* -1/6 y)) y) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))) y (/.f64 x z))) z))
	31.7%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (.f64 #s(approx (+ ( (/ (cos y) z) x) (sin y)) (/.f64 x z)) z))
	17.8%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (.f64 #s(approx (+ ( (/ (cos y) z) x) (sin y)) #s(approx (+ (* (+ (* (+ (* (/ x z) -1/2) (* -1/6 y)) y) 1) y) (/ x z)) (.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) z))
	2.3%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (.f64 #s(approx (+ ( (/ (cos y) z) x) (sin y)) #s(approx (+ (* (+ (* (+ (* (/ x z) -1/2) (* -1/6 y)) y) 1) y) (/ x z)) (.f64 (.f64 (fma.f64 (/.f64 x (.f64 z y)) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) y) (.f64 y y)))) z))
✓	52.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y z x))
	51.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (-.f64 (.f64 z y) x) (.f64 (fma.f64 z y x) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)))))
	14.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x)) #s(approx (/ 1 (- ( z y) x)) (/.f64 #s(literal 1 binary64) (*.f64 z y)))))
	32.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)) (.f64 (-.f64 (.f64 z y) x) (fma.f64 z y x))) (-.f64 (.f64 z y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x))))
✓	62.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
	13.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* z y) x) (- (* z y) x)) (.f64 (fma.f64 z z (/.f64 (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) (neg.f64 y))) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z y) x))))
	11.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* z y) x) (- (* z y) x)) (.f64 (.f64 (.f64 y y) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x))))
	20.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* z y) x) (- (* z y) x)) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x))))
	36.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
	35.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 y y) (.f64 y y)) #s(literal -1/4 binary64)) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 y y) #s(literal 1 binary64))) x))
	36.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))) x))
	36.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
	35.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 #s(approx (+ ( 1/24 (* y y)) -1/2) (.f64 #s(literal 1/24 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x))
✓	38.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) #s(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) x))
	40.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* y z) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
	49.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* y z) x) (*.f64 (neg.f64 (fma.f64 z (/.f64 y x) #s(literal 1 binary64))) (neg.f64 x))))
✓	18.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* y z) x) (*.f64 z y)))
	36.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))

Compiler

Compiled 2 369 to 767 computations (67.6% saved)

regimes127.0ms (1.4%)

Memory

2.2MiB live, 160.2MiB allocated

Counts

82 → 1

Calls

Call 1

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

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

Calls

4 calls:

55.0ms	x
24.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
22.0ms	z
21.0ms	y

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes82.0ms (0.9%)

Memory

-28.9MiB live, 131.1MiB allocated

Counts

57 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

26.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
18.0ms	z
17.0ms	y
15.0ms	x

Results

Accuracy	Segments	Branch
86.7%	3	`x`
81.4%	4	`y`
85.0%	3	`z`
76.5%	2	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes61.0ms (0.7%)

Memory

3.9MiB live, 81.6MiB allocated

Counts

51 → 4

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
66.8%	3	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
79.6%	4	`y`
77.2%	3	`z`
77.5%	3	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes16.0ms (0.2%)

Memory

27.8MiB live, 27.8MiB allocated

Counts

49 → 3

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
77.8%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes72.0ms (0.8%)

Memory

-60.7MiB live, 97.2MiB allocated

Counts

48 → 1

Calls

Call 1

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

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

Calls

4 calls:

28.0ms	z
14.0ms	y
14.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
13.0ms	x

Results

Accuracy	Segments	Branch
52.4%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
52.4%	1	`z`
52.4%	1	`x`
52.4%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes8.0ms (0.1%)

Memory

21.6MiB live, 21.6MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
43.2%	2	`z`
38.3%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
44.5%	3	`x`
42.3%	3	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory

-25.7MiB live, 13.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
18.2%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
18.2%	1	`y`
18.2%	1	`x`
18.2%	1	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch33.0ms (0.4%)

Memory

23.7MiB live, 62.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	9.210041825384167e+116	3.364617261229206e+121
14.0ms	-2.8372542453596347e+25	-1.4383156055187664e+23

Samples

21.0ms

240×

valid

Compiler

Compiled 330 to 224 computations (32.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-cos: 5.0ms (33.2% of total)

ival-sin: 5.0ms (33.2% of total)

ival-mult: 3.0ms (19.9% of total)

ival-add: 1.0ms (6.6% of total)

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

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

bsearch49.0ms (0.5%)

Memory

8.6MiB live, 88.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	8.770202759645477e-20	2.0016447544424086e-9
15.0ms	-1.351146258842585e-5	-1.0572931525699704e-16
13.0ms	-3.8055848715329543e+230	-1.7505826070537582e+230

Samples

31.0ms

400×

valid

Compiler

Compiled 465 to 294 computations (36.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-cos: 8.0ms (36.7% of total)

ival-mult: 7.0ms (32.1% of total)

ival-sin: 5.0ms (22.9% of total)

ival-add: 2.0ms (9.2% of total)

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

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

bsearch2.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.770202759645477e-20	2.0016447544424086e-9
1.0ms	-1.351146258842585e-5	-1.0572931525699704e-16

Compiler

Compiled 375 to 234 computations (37.6% saved)

bsearch19.0ms (0.2%)

Memory

-9.3MiB live, 28.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	-6.250416294132738e+25	-1.4696045424471256e+24

Samples

10.0ms

112×

valid

Compiler

Compiled 141 to 91 computations (35.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-cos: 3.0ms (42.3% of total)

ival-sin: 2.0ms (28.2% of total)

ival-mult: 1.0ms (14.1% of total)

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

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

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

simplify9.0ms (0.1%)

Memory

-22.7MiB live, 15.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	244
1	52	244

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(if (<=.f64 x #s(literal -10499999999999999555403776 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 2400000000000000009345789433497870626275654845504993963566880677600881888545549925788566546044102057161926408187727052800 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (.f64 (sin.f64 y) z)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -380000000000000007671525530042951490817617506576277693365931989666292612064506224391406290843455243210661899492542348012232838766610804031758300377407415517221739144937877146224432870028434877745892802087735722279853720674345418752 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal -3984496719921263/295147905179352825856 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 y z x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)))))
(if (<=.f64 y #s(literal -3984496719921263/295147905179352825856 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 y z x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y z x))
(if (<=.f64 z #s(literal -47999999999999999194693632 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* y z) x) (.f64 z y))) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* y z) x) (*.f64 z y)))

Outputs
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -10499999999999999555403776 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 2400000000000000009345789433497870626275654845504993963566880677600881888545549925788566546044102057161926408187727052800 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (.f64 (sin.f64 y) z)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 x #s(literal -10499999999999999555403776 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 2400000000000000009345789433497870626275654845504993963566880677600881888545549925788566546044102057161926408187727052800 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (.f64 z (sin.f64 y))) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -380000000000000007671525530042951490817617506576277693365931989666292612064506224391406290843455243210661899492542348012232838766610804031758300377407415517221739144937877146224432870028434877745892802087735722279853720674345418752 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal -3984496719921263/295147905179352825856 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 y z x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)))))
(if (<=.f64 y #s(literal -380000000000000007671525530042951490817617506576277693365931989666292612064506224391406290843455243210661899492542348012232838766610804031758300377407415517221739144937877146224432870028434877745892802087735722279853720674345418752 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal -3984496719921263/295147905179352825856 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 y z x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))))
(if (<=.f64 y #s(literal -3984496719921263/295147905179352825856 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 y z x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -3984496719921263/295147905179352825856 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 y z x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y z x))
(if (<=.f64 z #s(literal -47999999999999999194693632 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* y z) x) (.f64 z y))) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* y z) x) (*.f64 z y)))

soundness762.0ms (8.4%)

Memory

28.5MiB live, 586.9MiB allocated

Rules

14 080×	`lower-fma.f64`
14 080×	`lower-fma.f32`
11 480×	`lower-fma.f64`
11 480×	`lower-fma.f32`
9 822×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	489	6358
1	1705	6191
2	6203	6156
0	8476	5617
0	8	19
0	13	19
1	29	19
2	185	19
3	1836	19
0	8386	18
0	93	620
1	295	616
2	892	610
3	2078	604
4	3746	604
5	6389	604
0	8805	554

Stop Event

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

Compiler

Compiled 265 to 116 computations (56.2% saved)

preprocess109.0ms (1.2%)

Memory: 12.3MiB live, 129.8MiB allocated
Compiler: Compiled 256 to 78 computations (69.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.6s (17.7%)

explain150.0ms (1.7%)

preprocess43.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize47.0ms (0.5%)

series8.0ms (0.1%)

simplify178.0ms (2%)

rewrite221.0ms (2.4%)

eval32.0ms (0.3%)

prune78.0ms (0.9%)

simplify174.0ms (1.9%)

localize230.0ms (2.5%)

series54.0ms (0.6%)

simplify207.0ms (2.3%)

rewrite238.0ms (2.6%)

eval291.0ms (3.2%)

prune172.0ms (1.9%)

simplify178.0ms (2%)

localize280.0ms (3.1%)

series65.0ms (0.7%)

simplify281.0ms (3.1%)

rewrite334.0ms (3.7%)

eval610.0ms (6.7%)

prune393.0ms (4.3%)

simplify167.0ms (1.8%)

localize286.0ms (3.2%)

series154.0ms (1.7%)

simplify268.0ms (3%)

rewrite446.0ms (4.9%)

eval270.0ms (3%)

prune255.0ms (2.8%)

regimes127.0ms (1.4%)

regimes82.0ms (0.9%)

regimes61.0ms (0.7%)

regimes16.0ms (0.2%)

regimes72.0ms (0.8%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch33.0ms (0.4%)

bsearch49.0ms (0.5%)

bsearch2.0ms (0%)

bsearch19.0ms (0.2%)

simplify9.0ms (0.1%)

soundness762.0ms (8.4%)

preprocess109.0ms (1.2%)

end0.0ms (0%)

Profiling